diff options
Diffstat (limited to '')
117 files changed, 51097 insertions, 187 deletions
diff --git a/buch/papers/multiplikation/Makefile b/buch/papers/multiplikation/Makefile index 8f04c2c..8f04c2c 100644..100755 --- a/buch/papers/multiplikation/Makefile +++ b/buch/papers/multiplikation/Makefile diff --git a/buch/papers/multiplikation/Makefile.inc b/buch/papers/multiplikation/Makefile.inc index b78d67e..074020f 100644..100755 --- a/buch/papers/multiplikation/Makefile.inc +++ b/buch/papers/multiplikation/Makefile.inc @@ -7,8 +7,7 @@ dependencies-multiplikation = \ papers/multiplikation/packages.tex \ papers/multiplikation/main.tex \ papers/multiplikation/references.bib \ - papers/multiplikation/teil0.tex \ - papers/multiplikation/teil1.tex \ - papers/multiplikation/teil2.tex \ - papers/multiplikation/teil3.tex + papers/multiplikation/einlteung.tex \ + papers/multiplikation/loesungsmethoden.tex \ + papers/multiplikation/problemstellung.tex diff --git a/buch/papers/multiplikation/code/Figure_1.png b/buch/papers/multiplikation/code/Figure_1.png Binary files differnew file mode 100755 index 0000000..9def15a --- /dev/null +++ b/buch/papers/multiplikation/code/Figure_1.png diff --git a/buch/papers/multiplikation/code/MM.c b/buch/papers/multiplikation/code/MM.c new file mode 100755 index 0000000..2588262 --- /dev/null +++ b/buch/papers/multiplikation/code/MM.c @@ -0,0 +1,466 @@ +#include <stdio.h>
+#include <stdint.h>
+#include <stdlib.h>
+#include <time.h>
+#include <omp.h>
+#include "c_matrix.h"
+#include <gsl/gsl_cblas.h>
+#include <string.h>
+
+void MM(int *A, int *B, int *C, int n);
+void openMP_MM(int *A, int *B, int *C, int n);
+void winograd(int *A, int *B, int *C, int n);
+int winograd_inner(int *a, int *b, int n);
+void run_algo(void (*algo)(), char alog_name[], int print);
+void run_algo_cblas(int print);
+void MM_dc(int *A, int *B, int *C, int n);
+void strassen(int *A, int *B, int *C, int n);
+void printMatrix(int *C, int n);
+void printMatrix_double(double *C, int n);
+void split(int *in, int *out, int n, int col, int row);
+void join(int *in, int *out, int n, int col, int row);
+void add(int *A, int *B, int *C, int n);
+void sub(int *A, int *B, int *C, int n);
+void multiply(int *A, int *B, int *C, int n);
+
+int main() {
+ // omp_set_dynamic(0);
+ // omp_set_num_threads(4);
+// run_algo(openMP_MM, "openMP_MM",0);
+ run_algo(MM_dc, "MM_dc",0);
+
+ run_algo(strassen, "strassen",0);
+
+ run_algo(MM, "MM", 0);
+ run_algo(winograd, "winograd", 0);
+ run_algo_cblas(0);
+
+ return 0;
+}
+
+void MM(int *A, int *B, int *C, int n) {
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ int sum = 0;
+ for (int k = 0; k < n; ++k) {
+ sum += (*((A + i * n) + k)) * (*((B + k * n) + j));
+ }
+ *((C + i * n) + j) = sum;
+ }
+ }
+}
+
+int winograd_inner(int *a, int *b, int n){
+ int ab = 0;
+ if(n%2==0)
+ {
+ int xi = 0;
+ int etha = 0;
+ for(int i = 0; i<n/2;++i)
+ {
+ xi += a[2*i]*a[2*i+1];
+ etha += b[2*i]*b[2*i+1];
+ ab += (a[2*i]+b[2*i+1])*(a[2*i+1]+b[2*i]);
+ }
+ ab = ab-etha-xi;
+ }
+ return ab;
+ }
+
+ void winograd(int *A, int *B, int *C, int n) {
+
+ int xi_array[n];
+ int etha_array[n];
+ int xi = 0;
+ int etha = 0;
+ int ab = 0;
+
+ for (int i = 0; i < n; ++i) {
+ xi = 0;
+ etha = 0;
+ for(int k = 0;k<n/2;++k)
+ {
+ xi += (*((A + i * n) + 2*k))*(*((A + i * n) + (2*k+1)));
+ etha += (*((B + 2*k * n) + i))*(*((B + (2*k+1) * n) + i));
+ }
+ xi_array[i] = xi;
+ etha_array[i] = etha;
+ }
+
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ ab = 0;
+ for(int k = 0;k<n/2;++k)
+ {
+ ab += ((*((A + i * n) + 2*k))+(*((B + (2*k+1) * n) + j)))*((*((A + i * n) + (2*k+1)))+(*((B + 2*k * n) + j)));
+ }
+ *((C + i * n) + j) = ab-etha_array[j]-xi_array[i];
+ }
+ }
+
+
+
+
+ // for (int i = 0; i < n; ++i) {
+ // int *a = (int*) malloc(n * sizeof(int));
+ // for(int k = 0; k<n; ++k)
+ // {
+ // a[k] = (*((A + i * n) + k));
+ // }
+ //
+ // for (int j = 0; j < n; ++j) {
+ // int *b = (int*) malloc(n * sizeof(int));
+ // for(int k = 0; k<n; ++k)
+ // {
+ // b[k] =(*((B + k * n) + j));
+ // }
+ // *((C + i * n) + j) = winograd_inner(a,b,n);
+ // }
+ // }
+ }
+
+
+void openMP_MM(int *A, int *B, int *C, int n) {
+
+ #pragma omp parallel for
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ int sum = 0;
+ for (int k = 0; k < n; ++k) {
+ sum += (*((A + i * n) + k)) * (*((B + k * n) + j));
+ }
+ *((C + i * n) + j) = sum;
+ }
+ }
+}
+
+void MM_dc(int *A, int *B, int *C, int n) {
+ if (n <= 2) {
+ MM((int*) A, (int*) B, (int*) C, n);
+ } else {
+ int *A11 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *A12 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *A21 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *A22 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *B11 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *B12 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *B21 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *B22 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+
+ split((int*) A, (int*) A11, n / 2, 0, 0);
+ split((int*) A, (int*) A12, n / 2, 0, n / 2);
+ split((int*) A, (int*) A21, n / 2, n / 2, 0);
+ split((int*) A, (int*) A22, n / 2, n / 2, n / 2);
+ split((int*) B, (int*) B11, n / 2, 0, 0);
+ split((int*) B, (int*) B12, n / 2, 0, n / 2);
+ split((int*) B, (int*) B21, n / 2, n / 2, 0);
+ split((int*) B, (int*) B22, n / 2, n / 2, n / 2);
+
+ int *tmp1 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *tmp2 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *tmp3 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *tmp4 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *tmp5 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *tmp6 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *tmp7 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *tmp8 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+
+ MM_dc((int*) A11, (int*) B11, (int*) tmp1, n / 2);
+ MM_dc((int*) A12, (int*) B21, (int*) tmp2, n / 2);
+ MM_dc((int*) A11, (int*) B12, (int*) tmp3, n / 2);
+ MM_dc((int*) A12, (int*) B22, (int*) tmp4, n / 2);
+ MM_dc((int*) A21, (int*) B11, (int*) tmp5, n / 2);
+ MM_dc((int*) A22, (int*) B21, (int*) tmp6, n / 2);
+ MM_dc((int*) A21, (int*) B12, (int*) tmp7, n / 2);
+ MM_dc((int*) A22, (int*) B22, (int*) tmp8, n / 2);
+
+ free(A11);
+ free(A12);
+ free(A21);
+ free(A22);
+ free(B11);
+ free(B12);
+ free(B21);
+ free(B22);
+
+ int *C11 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *C12 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *C21 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *C22 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+
+ add((int*) tmp1, (int*) tmp2, (int*) C11, n / 2);
+ add((int*) tmp3, (int*) tmp4, (int*) C12, n / 2);
+ add((int*) tmp5, (int*) tmp6, (int*) C21, n / 2);
+ add((int*) tmp7, (int*) tmp8, (int*) C22, n / 2);
+
+ free(tmp1);
+ free(tmp2);
+ free(tmp3);
+ free(tmp4);
+ free(tmp5);
+ free(tmp6);
+ free(tmp7);
+ free(tmp8);
+
+ join((int*) C11, (int*) C, n / 2, 0, 0);
+ join((int*) C12, (int*) C, n / 2, 0, n / 2);
+ join((int*) C21, (int*) C, n / 2, n / 2, 0);
+ join((int*) C22, (int*) C, n / 2, n / 2, n / 2);
+
+ free(C11);
+ free(C12);
+ free(C21);
+ free(C22);
+
+ }
+}
+
+void strassen(int *A, int *B, int *C, int n) {
+ if (n <= 2) {
+
+ int P, Q, R, S, T, U, V;
+ P = ((*((A + 0 * n) + 0)) + (*((A + 1 * n) + 1)))
+ * ((*((B + 0 * n) + 0)) + (*((B + 1 * n) + 1)));
+ Q = ((*((A + 1 * n) + 0)) + (*((A + 1 * n) + 1)))
+ * ((*((B + 0 * n) + 0)));
+ R = ((*((A + 0 * n) + 0)))
+ * ((*((B + 0 * n) + 1)) - (*((B + 1 * n) + 1)));
+ S = ((*((A + 1 * n) + 1)))
+ * ((*((B + 1 * n) + 0)) - (*((B + 0 * n) + 0)));
+ T = ((*((A + 0 * n) + 0)) + (*((A + 0 * n) + 1)))
+ * ((*((B + 1 * n) + 1)));
+ U = ((*((A + 1 * n) + 0)) - (*((A + 0 * n) + 0)))
+ * ((*((B + 0 * n) + 0)) + (*((B + 0 * n) + 1)));
+ V = ((*((A + 0 * n) + 1)) - (*((A + 1 * n) + 1)))
+ * ((*((B + 1 * n) + 0)) + (*((B + 1 * n) + 1)));
+ (*((C + 0 * n) + 0)) = P + S - T + V;
+ (*((C + 0 * n) + 1)) = R + T;
+ (*((C + 1 * n) + 0)) = Q + S;
+ (*((C + 1 * n) + 1)) = P + R - Q + U;
+
+ } else {
+ int *A11 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *A12 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *A21 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *A22 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *B11 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *B12 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *B21 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *B22 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+
+ split((int*) A, (int*) A11, n / 2, 0, 0);
+ split((int*) A, (int*) A12, n / 2, 0, n / 2);
+ split((int*) A, (int*) A21, n / 2, n / 2, 0);
+ split((int*) A, (int*) A22, n / 2, n / 2, n / 2);
+ split((int*) B, (int*) B11, n / 2, 0, 0);
+ split((int*) B, (int*) B12, n / 2, 0, n / 2);
+ split((int*) B, (int*) B21, n / 2, n / 2, 0);
+ split((int*) B, (int*) B22, n / 2, n / 2, n / 2);
+
+ int *P = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *Q = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *R = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *S = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *T = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *U = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *V = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+
+ int *addA = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *addB = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+
+ add((int*) A11, (int*) A22, (int*) addA, n / 2);
+ add((int*) B11, (int*) B22, (int*) addB, n / 2);
+ strassen((int*) addA, (int*) addB, (int*) P, n / 2);
+
+ add((int*) A21, (int*) A22, (int*) addA, n / 2);
+ strassen((int*) addA, (int*) B11, (int*) Q, n / 2);
+
+ sub((int*) B12, (int*) B22, (int*) addB, n / 2);
+ strassen((int*) A11, (int*) addB, (int*) R, n / 2);
+
+ sub((int*) B21, (int*) B11, (int*) addB, n / 2);
+ strassen((int*) A22, (int*) addB, (int*) S, n / 2);
+
+ add((int*) A11, (int*) A12, (int*) addA, n / 2);
+ strassen((int*) addA, (int*) B22, (int*) T, n / 2);
+
+ sub((int*) A21, (int*) A11, (int*) addA, n / 2);
+ add((int*) B11, (int*) B12, (int*) addB, n / 2);
+ strassen((int*) addA, (int*) addB, (int*) U, n / 2);
+
+ sub((int*) A12, (int*) A22, (int*) addA, n / 2);
+ add((int*) B21, (int*) B22, (int*) addB, n / 2);
+ strassen((int*) addA, (int*) addB, (int*) V, n / 2);
+
+ free(A11);
+ free(A12);
+ free(A21);
+ free(A22);
+ free(B11);
+ free(B12);
+ free(B21);
+ free(B22);
+ free(addA);
+ free(addB);
+
+ int *C11 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *C12 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *C21 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *C22 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+
+ int *resAdd1 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+ int *resAdd2 = (int*) malloc(n / 2 * n / 2 * sizeof(int));
+
+ add((int*) R, (int*) T, (int*) C12, n / 2);
+ add((int*) Q, (int*) S, (int*) C21, n / 2);
+
+ add((int*) P, (int*) S, (int*) resAdd1, n / 2);
+ add((int*) resAdd1, (int*) V, (int*) resAdd2, n / 2);
+ sub((int*) resAdd2, (int*) T, (int*) C11, n / 2);
+
+ add((int*) P, (int*) R, (int*) resAdd1, n / 2);
+ add((int*) resAdd1, (int*) U, (int*) resAdd2, n / 2);
+ sub((int*) resAdd2, (int*) Q, (int*) C22, n / 2);
+
+ free(P);
+ free(Q);
+ free(R);
+ free(S);
+ free(T);
+ free(U);
+ free(V);
+ free(resAdd1);
+ free(resAdd2);
+
+ join((int*) C11, (int*) C, n / 2, 0, 0);
+ join((int*) C12, (int*) C, n / 2, 0, n / 2);
+ join((int*) C21, (int*) C, n / 2, n / 2, 0);
+ join((int*) C22, (int*) C, n / 2, n / 2, n / 2);
+
+ free(C11);
+ free(C12);
+ free(C21);
+ free(C22);
+ }
+}
+
+void add(int *A, int *B, int *C, int n) {
+ for (int i = 0; i < n; i++) {
+ for (int j = 0; j < n; j++) {
+ *((C + i * n) + j) = *((A + i * n) + j) + *((B + i * n) + j);
+ }
+ }
+}
+
+void sub(int *A, int *B, int *C, int n) {
+ for (int i = 0; i < n; i++) {
+ for (int j = 0; j < n; j++) {
+ *((C + i * n) + j) = *((A + i * n) + j) - *((B + i * n) + j);
+ }
+ }
+}
+
+void multiply(int *A, int *B, int *C, int n) {
+ int mul;
+
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ mul = (*((A + i * n) + j)) * (*((B + i * n) + j));
+ *((C + i * n) + j) = mul;
+ }
+ }
+}
+
+void split(int *in, int *out, int n, int col, int row) {
+ for (int i1 = 0, i2 = col; i1 < n; i1++, i2++)
+ for (int j1 = 0, j2 = row; j1 < n; j1++, j2++) {
+ *((out + i1 * n) + j1) = *((in + i2 * n * 2) + j2);
+
+ }
+}
+
+void join(int *in, int *out, int n, int col, int row) {
+ for (int i1 = 0, i2 = col; i1 < n; i1++, i2++)
+ for (int j1 = 0, j2 = row; j1 < n; j1++, j2++)
+ *((out + i2 * n * 2) + j2) = *((in + i1 * n) + j1);
+}
+
+void printMatrix(int *C, int n) {
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ printf("%d ", *((C + i * n) + j));
+ }
+ printf("\n");
+ }
+}
+
+void printMatrix_double(double *C, int n) {
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ printf("%.0f ", *((C + i * n) + j));
+ }
+ printf("\n");
+ }
+}
+
+void run_algo(void (*algo)(), char alog_name[], int print)
+{
+ FILE *fptr;
+
+ char fileName[40] = "meas/";
+ strcat(fileName, alog_name);
+ strcat(fileName, ".txt");
+ fptr = fopen(fileName, "w");
+
+
+ for(int i=0; i<n_arrays; ++i)
+ {
+ for(int j = 0; j<10; ++j)
+ {
+ int *C = (int*) malloc(n[i] * n[i] * sizeof(int));
+ double dtime = omp_get_wtime();
+ algo(Ap[i], Bp[i], (int*) C, n[i]);
+ dtime = omp_get_wtime() - dtime;
+ // printf("The %s program took %f seconds to execute \n", alog_name, dtime);
+ fprintf(fptr, "%f,%d\n", dtime, n[i]);
+
+ if(print==1)
+ {
+ printMatrix((int*)C, n[i]);
+ }
+ free(C);
+ }
+ }
+ fclose(fptr);
+
+}
+
+void run_algo_cblas(int print)
+{
+
+ FILE *fptr;
+
+ fptr = fopen("meas/blas.txt", "w");
+ for(int i=0; i<n_arrays; ++i)
+ {
+ for(int j = 0; j<10; ++j)
+ {
+ double *dC = (double*) malloc(n[i] * n[i] * sizeof(double));
+ double dtime = omp_get_wtime();
+ cblas_dgemm(CblasRowMajor, CblasNoTrans, CblasNoTrans, n[i], n[i], n[i], 1.0, dAp[i], n[i],
+ dBp[i], n[i], 0.0, dC, n[i]);
+ dtime = omp_get_wtime() - dtime;
+ // printf("The cblas program took %f seconds to execute \n", dtime);
+ fprintf(fptr, "%f,%d\n",dtime, n[i]);
+
+ if(print==1)
+ {
+ printMatrix_double( (double*)dC, n[i]);
+ }
+
+ free(dC);
+ }
+ }
+ fclose(fptr);
+
+}
diff --git a/buch/papers/multiplikation/code/MM.py b/buch/papers/multiplikation/code/MM.py new file mode 100644 index 0000000..8057850 --- /dev/null +++ b/buch/papers/multiplikation/code/MM.py @@ -0,0 +1,339 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- +""" +Created on Fri Mar 19 07:31:29 2021 + +@author: nunigan +""" +import scipy.stats +import numpy as np +import time +import matplotlib.pyplot as plt +from scipy.optimize import curve_fit +import tikzplotlib +def MM(A, B): + n = np.shape(A)[0] + C = np.zeros((n, n)) + for i in range(n): + for j in range(n): + C[i, j] = 0 + for k in range(n): + C[i, j] += A[i, k]*B[k, j] + return C + + +def MM_dc(A, B): + n = np.shape(A)[0] + if(n <= 2): + C = np.zeros((n, n)) + C[0, 0] = A[0, 0]*B[0, 0]+A[0, 1]*B[1, 0] + C[0, 1] = A[0, 0]*B[0, 1]+A[0, 1]*B[1, 1] + C[1, 0] = A[1, 0]*B[0, 0]+A[1, 1]*B[1, 0] + C[1, 1] = A[1, 0]*B[0, 1]+A[1, 1]*B[1, 1] + return C + else: + A11, A12, A21, A22 = A[:n//2, :n//2], A[:n//2, n//2:], A[n//2:, :n//2], A[n//2:, n//2:] + B11, B12, B21, B22 = B[:n//2, :n//2], B[:n//2, n//2:], B[n//2:, :n//2], B[n//2:, n//2:] + C11 = MM_dc(A11, B11) + MM_dc(A12, B21) + C12 = MM_dc(A11, B12) + MM_dc(A12, B22) + C21 = MM_dc(A21, B11) + MM_dc(A22, B21) + C22 = MM_dc(A21, B12) + MM_dc(A22, B22) + C = np.vstack((np.hstack((C11, C12)), np.hstack((C21, C22)))) + return C + + +def strassen(A, B): + n = np.shape(A)[0] + if(n <= 2): + C = np.zeros((n, n)) + P = (A[0, 0]+A[1, 1])*(B[0, 0]+B[1, 1]) + Q = (A[1, 0]+A[1, 1])*B[0, 0] + R = A[0, 0]*(B[0, 1]-B[1, 1]) + S = A[1, 1]*(B[1, 0]-B[0, 0]) + T = (A[0, 0]+A[0, 1])*B[1, 1] + U = (A[1, 0]-A[0, 0])*(B[0, 0]+B[0, 1]) + V = (A[0, 1]-A[1, 1])*(B[1, 0]+B[1, 1]) + C[0, 0] = P+S-T+V + C[0, 1] = R+T + C[1, 0] = Q+S + C[1, 1] = P+R-Q+U + return C + else: + m = n//2 + A11, A12, A21, A22 = A[:m, :m], A[:m, m:], A[m:, :m], A[m:, m:] + B11, B12, B21, B22 = B[:m, :m], B[:m, m:], B[m:, :m], B[m:, m:] + P = strassen((A11+A22),(B11+B22)) + Q = strassen((A21+A22),B11) + R = strassen(A11,(B12-B22)) + S = strassen(A22,(B21-B11)) + T = strassen((A11+A12),B22) + U = strassen((A21-A11),(B11+B12)) + V = strassen((A12-A22),(B21+B22)) + + C11 = P+S-T+V + C12 = R+T + C21 = Q+S + C22 = P+R-Q+U + + C = np.vstack((np.hstack((C11, C12)), np.hstack((C21, C22)))) + return C + +def winograd_inner(a, b): + n = np.shape(a)[0] + if n%2 == 0: + xi = np.sum(a[::2]*a[1::2]) + etha = np.sum(b[::2]*b[1::2]) + # print("xi = {}, etha = {}".format(xi, etha)) + ab = np.sum((a[::2]+b[1::2])*(a[1::2]+b[::2]))-xi-etha + else: + xi = np.sum(a[0:-1:2]*a[1::2]) + etha = np.sum(b[0:-1:2]*b[1::2]) + ab = np.sum((a[0:-1:2]+b[1::2])*(a[1::2]+b[0:-1:2]))-xi-etha+a[-1]*b[-1] + return ab + +def winograd(A, B): + m,n = np.shape(A) + n2,p = np.shape(B) + C = np.zeros((m,p)) + for i in range(np.shape(A)[0]): + for j in range(np.shape(B)[1]): + C[i,j] = winograd_inner(A[i,:], B[:,j]) + return C + +def winograd2(A, B): + m,n = np.shape(A) + n2,p = np.shape(B) + C = np.zeros((m,p)) + xi = np.zeros((m)) + eta = np.zeros((p)) + ab = 0 + for i in range(m): + for j in range(n//2): + xi[i] += A[i,2*j]*A[i,2*j+1] + + for i in range(p): + for j in range(n//2): + eta[i] += B[2*j,i]*B[2*j+1,i] + + if n%2==0: + for i in range(m): + for j in range(p): + ab = 0 + for k in range(n//2): + ab += (A[i,2*k]+B[2*k+1,j])*(A[i,2*k+1]+B[2*k,j]) + C[i,j] = ab-eta[j]-xi[i] + else: + for i in range(m): + for j in range(p): + ab = 0 + for k in range(n//2): + ab += (A[i,2*k]+B[2*k+1,j])*(A[i,2*k+1]+B[2*k,j]) + C[i,j] = ab-eta[j]-xi[i]+A[i,-1]*B[-1,j] + + return C + +def test_perfomance(n): + + t_mm = [] + t_mm_dc = [] + t_mm_strassen = [] + t_wino = [] + t_np = [] + + for i in n: + A = np.random.randn(i, i) + B = np.random.randn(i, i) + # A = np.random.randint(-100, 100,(i, i)) + # B = np.random.randint(-100, 100,(i, i)) + + start = time.time() + C3 = strassen(A, B) + t_mm_strassen.append(time.time() - start) + + start = time.time() + C1 = MM(A, B) + t_mm.append(time.time() - start) + + start = time.time() + C2 = MM_dc(A, B) + t_mm_dc.append(time.time() - start) + + start = time.time() + C4 = winograd2(A, B) + t_wino.append(time.time() - start) + + start = time.time() + C = A@B + t_np.append(time.time() - start) + + plt.figure(figsize=(13,8)) + plt.rcParams['font.family'] = 'STIXGeneral' + plt.rc('axes', labelsize=23) + plt.rc('xtick', labelsize=23) + plt.rc('ytick', labelsize=23) + plt.plot(n, t_mm, label='Standard', lw=5) + plt.plot(n, t_mm_dc, label='Divide and conquer', lw=5) + plt.plot(n, t_mm_strassen, label='Strassen', lw=5) + plt.plot(n, t_wino, label='Winograd', lw=5) + plt.plot(n, t_np, label='NumPy A@B', lw=5) + # plt.xscale('log', base=2) + plt.legend() + plt.xlabel("n") + plt.ylabel("time (s)") + plt.grid(True, which="both", ls="-") + plt.tight_layout() + # plt.yscale('log') + plt.legend(fontsize=19) + plt.savefig('meas_' + str(max(n))+ '.pdf') + arr = np.array([n, t_mm, t_mm_dc, t_mm_strassen, t_wino, t_np]) + np.savetxt('meas_' + str(max(n))+ '.txt',arr) + return t_np + + +def plot(num): + arr = np.loadtxt('meas_{}.txt'.format(num)) + n, t_mm, t_mm_dc, t_mm_strassen, t_wino, t_np = arr + plt.figure(figsize=(13,8)) + plt.rcParams['font.family'] = 'STIXGeneral' + plt.rc('axes', labelsize=23) + plt.rc('xtick', labelsize=23) + plt.rc('ytick', labelsize=23) + plt.plot(n, t_mm, label='3 For Loops', lw=5) + plt.plot(n, t_mm_dc, label='Divide and Conquer', lw=5) + plt.plot(n, t_mm_strassen, label='Strassen', lw=5) + plt.plot(n, t_wino, label='Winograd', lw=5) + plt.plot(n, t_np, label='NumPy A@B', lw=5) + plt.legend() + plt.xlabel("n") + # plt.yscale('log', base=10) + plt.ylabel("time (s)") + plt.grid(True) + plt.tight_layout() + # plt.yscale('log') + plt.legend(fontsize=19) + plt.savefig('meas_' + str(num)+ '.pdf') + return arr + +def plot_c_res(ave, num): + + MM = np.loadtxt("meas/MM.txt", delimiter=',') + winograd = np.loadtxt("meas/winograd.txt", delimiter=',') + blas = np.loadtxt("meas/blas.txt", delimiter=',') + MM_dc = np.loadtxt("meas/MM_dc.txt", delimiter=',') + strassen = np.loadtxt("meas/strassen.txt", delimiter=',') + + MM_t = MM[:,0] + MM_n = MM[:,1] + # MM_t = np.mean(MM_t.reshape(-1,ave),axis=1) + # MM_n = np.mean(MM_n.reshape(-1,ave),axis=1) + + MM_dc_t = MM_dc[:,0] + MM_dc_n = MM_dc[:,1] + # MM_dc_t = np.mean(MM_dc_t.reshape(-1,ave),axis=1) + # MM_dc_n = np.mean(MM_dc_n.reshape(-1,ave),axis=1) + + strassen_t = strassen[:,0] + strassen_n = strassen[:,1] + # strassen_t = np.mean(strassen_t.reshape(-1,ave),axis=1) + # strassen_n = np.mean(strassen_n.reshape(-1,ave),axis=1) + + winograd_t = winograd[:,0] + winograd_n = winograd[:,1] + # winograd_t = np.mean(winograd_t.reshape(-1,ave),axis=1) + # winograd_n = np.mean(winograd_n.reshape(-1,ave),axis=1) + + blas_t = blas[:,0] + blas_n = blas[:,1] + # blas_t = np.mean(blas_t.reshape(-1,ave),axis=1) + # blas_n = np.mean(blas_n.reshape(-1,ave),axis=1) + + + + def func(x, a,b): + return b*x**a + + # popt, pcov = curve_fit(func, blas_n, blas_t) + # popt1, pcov2 = curve_fit(func, blas_n, winograd_t) + # popt2, pcov2 = curve_fit(func, blas_n, MM_t) + + plt.figure(figsize=(13,8)) + plt.rcParams['font.family'] = 'STIXGeneral' + plt.rc('axes', labelsize=23) + plt.rc('xtick', labelsize=23) + plt.rc('ytick', labelsize=23) + plt.loglog(MM_n, MM_t, '.', label='3 For Loops', lw=5) + plt.loglog(winograd_n, winograd_t, '.', label='Winograd MM', lw=5) + plt.loglog(blas_n, blas_t, '.', label='Blas', lw=5) + plt.loglog(strassen_n, strassen_t, '.', label='Strassen', lw=5) + plt.loglog(MM_dc_n, MM_dc_t, '.', label='Divide and Conquer', lw=5) + plt.xlabel("n") + # plt.yscale('log', base=10) + # plt.xscale('log', base=2) + plt.ylabel("time (s)") + plt.grid(True, which="both", ls="-") + plt.tight_layout() + plt.legend(fontsize=19) + plt.savefig('c_meas_' + str(num)+ '.pdf') + + # plt.plot(blas_n, func(blas_n, *popt), 'r-', label='fit blas: a=%5.5f, b=%5.10f' % tuple(popt)) + # plt.plot(blas_n, func(blas_n, *popt1), 'r-', label='fit winograd: a=%5.5f, b=%5.10f' % tuple(popt1)) + # plt.plot(blas_n, func(blas_n, *popt2), 'r-', label='fit MM: a=%5.5f, b=%5.10f' % tuple(popt2)) + + plt.legend() + # return [MM_n,winograd_n,blas_n,strassen_n,MM_dc_n] + + + return [MM_t,winograd_t,blas_t,strassen_t,MM_dc_t] + + +def mean_confidence_interval(data, confidence=0.95): + a = 1.0 * np.array(data) + n = len(a) + m, se = np.mean(a), scipy.stats.sem(a) + h = se * scipy.stats.t.ppf((1 + confidence) / 2., n-1) + return m, h + +# test%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +if __name__ == '__main__': + # A = plot_c_res(10, 4096) + # name = ['MM', 'Wino', 'blas', 'strassen', 'dc'] + # for i in range(5): + # ci_inner = [] + # print(name[i]) + # for j in range(11): + # m,h=mean_confidence_interval(A[i][j*10:(j+1)*10]) + # print("({},{})".format(2**(j+1),m)) + # np.savetxt('meas/ci/' + name[i]+'.txt',ci_inner) + + arr = plot(4096) + # n = np.logspace(1,12,12,base=2,dtype=(np.int)) + # n=[2048,4096] + # n = np.arange(1,50,2) + # A = np.random.randint(-10, 6, (5,3)) + # B = np.random.randint(-10, 6, (3,5)) + + # C = winograd2(A, B) + # C_test = A@B + # print(C) + # print(C_test) + # print(np.equal(C, C_test)) + + # t_np = test_perfomance(n) + # C = strassen(A, B) + # C_test = A@B + + + # plot_c_res() + # def func(x, a): + # return x**a + + # popt, pcov = curve_fit(func, n, t_np, bounds=(2, 3)) + + + # plt.figure() + # plt.plot(n, t_np, 'b-', label='data') + # plt.plot(n, func(n, *popt), 'r-', label='fit: a=%5.3f' % tuple(popt)) + # plt.xlabel('x') + # plt.ylabel('y') + # plt.legend() +
\ No newline at end of file diff --git a/buch/papers/multiplikation/code/__pycache__/MM.cpython-38.pyc b/buch/papers/multiplikation/code/__pycache__/MM.cpython-38.pyc Binary files differnew file mode 100644 index 0000000..7768772 --- /dev/null +++ b/buch/papers/multiplikation/code/__pycache__/MM.cpython-38.pyc diff --git a/buch/papers/multiplikation/code/c_matrix.h b/buch/papers/multiplikation/code/c_matrix.h new file mode 100644 index 0000000..63d5390 --- /dev/null +++ b/buch/papers/multiplikation/code/c_matrix.h @@ -0,0 +1,177 @@ +/* Seminar Matrizen, autogenerated File, Michael Schmid, 10/08/2021, 05:46:32 */ + +#include <stdint.h> +const int A0[][2] = + { + {60,-84}, + {-66,-1} + }; +const int B0[][2] = + { + {-45,87}, + {-38,-73} + }; +const double dB0[][2] = + { + {-45,87}, + {-38,-73} + }; +const double dA0[][2] = + { + {60,-84}, + {-66,-1} + }; +const int A1[][4] = + { + {-72,-19,-91,62}, + {-36,-74,-44,-47}, + {-39,-31,50,-93}, + {-81,2,-17,-86} + }; +const int B1[][4] = + { + {-66,39,-23,52}, + {-88,-13,13,-13}, + {-45,-70,28,-20}, + {96,5,88,96} + }; +const double dB1[][4] = + { + {-66,39,-23,52}, + {-88,-13,13,-13}, + {-45,-70,28,-20}, + {96,5,88,96} + }; +const double dA1[][4] = + { + {-72,-19,-91,62}, + {-36,-74,-44,-47}, + {-39,-31,50,-93}, + {-81,2,-17,-86} + }; +const int A2[][8] = + { + {-36,-2,-58,-32,34,-89,49,-55}, + {-68,-73,52,-3,-51,-37,-31,70}, + {73,-90,-21,-79,-15,96,-99,12}, + {68,-25,38,-73,-60,35,-99,72}, + {-43,-87,48,-84,-100,37,80,53}, + {-27,88,-5,-82,-57,-27,20,10}, + {-91,-47,54,-90,-99,-76,50,-18}, + {69,-36,76,5,-67,-38,-95,91} + }; +const int B2[][8] = + { + {-84,22,-13,-66,-42,51,66,0}, + {37,-65,66,-85,-10,-23,77,5}, + {1,41,-79,0,63,-37,-10,29}, + {72,66,-99,92,-28,65,25,-40}, + {69,-49,65,-18,64,-97,-47,30}, + {36,86,66,-12,-17,89,1,-37}, + {-100,11,27,23,-75,-23,96,-9}, + {68,90,-87,-99,-70,-28,98,-76} + }; +const double dB2[][8] = + { + {-84,22,-13,-66,-42,51,66,0}, + {37,-65,66,-85,-10,-23,77,5}, + {1,41,-79,0,63,-37,-10,29}, + {72,66,-99,92,-28,65,25,-40}, + {69,-49,65,-18,64,-97,-47,30}, + {36,86,66,-12,-17,89,1,-37}, + {-100,11,27,23,-75,-23,96,-9}, + {68,90,-87,-99,-70,-28,98,-76} + }; +const double dA2[][8] = + { + {-36,-2,-58,-32,34,-89,49,-55}, + {-68,-73,52,-3,-51,-37,-31,70}, + {73,-90,-21,-79,-15,96,-99,12}, + {68,-25,38,-73,-60,35,-99,72}, + {-43,-87,48,-84,-100,37,80,53}, + {-27,88,-5,-82,-57,-27,20,10}, + {-91,-47,54,-90,-99,-76,50,-18}, + {69,-36,76,5,-67,-38,-95,91} + }; +const int A3[][16] = + { + {-24,65,21,19,94,70,-90,-81,53,-41,-23,-1,58,-80,-54,59}, + {-42,76,-19,98,29,-56,92,14,45,11,82,83,48,-13,81,66}, + {43,-57,-67,95,5,72,11,0,-47,55,-24,36,84,54,-31,-54}, + {-39,-40,19,97,-82,-56,27,95,81,-21,-50,-74,-35,-87,-28,-26}, + {-74,-98,79,92,-24,-48,99,94,55,-83,70,98,-24,18,-67,14}, + {20,76,11,-23,-56,21,0,42,64,86,-74,44,93,-76,-30,97}, + {13,20,-73,-11,-30,80,53,-8,60,21,17,-42,82,-72,-6,-80}, + {36,-93,-64,-21,20,-85,15,24,99,81,-52,64,71,-56,52,63}, + {32,9,-2,-85,17,62,-98,-35,75,-58,-44,-20,-47,89,-95,52}, + {93,-43,86,68,-6,-25,90,57,60,-10,65,-97,43,46,-60,-41}, + {43,-33,0,50,-100,26,-60,95,39,-70,-61,-81,9,-23,-99,-4}, + {20,61,15,43,-96,93,-55,38,-29,-1,-10,26,-87,18,64,6}, + {-98,-84,51,16,-14,86,52,59,44,-39,-2,10,82,-66,54,19}, + {89,-49,-37,-6,-53,40,-11,46,-51,-56,86,34,11,13,-20,-49}, + {-90,14,28,-45,-25,-56,-51,-61,28,-8,51,91,95,-10,-85,58}, + {8,-44,88,-71,-27,11,89,37,86,-78,-44,-56,-87,0,-42,-61} + }; +const int B3[][16] = + { + {62,-30,62,92,29,-93,-95,44,-33,-88,-29,9,-88,-42,-90,-70}, + {60,37,-44,-93,-87,6,-53,2,-29,53,-49,59,6,83,-15,50}, + {-19,85,-49,-14,84,-4,12,88,-83,-81,-24,-16,-12,-42,-63,-71}, + {-42,-78,-58,-61,-29,67,-28,-46,64,7,6,-13,88,-42,95,-24}, + {-90,-56,8,-30,-89,70,37,-29,24,-8,-10,-2,-25,-63,-95,-91}, + {10,-81,42,-28,-13,-68,-72,-20,-22,5,-79,-50,-88,62,57,69}, + {-67,24,-71,-43,11,48,33,-93,-82,-65,-4,5,-15,25,-54,-45}, + {-49,19,-29,90,-97,-87,78,-39,-75,-85,-79,-35,54,3,-73,7}, + {-7,39,70,-42,32,-100,56,4,-24,-57,38,-49,-50,-44,79,-42}, + {37,-65,-55,22,-97,-42,-76,95,97,-27,38,11,0,-81,-23,35}, + {26,-70,10,-29,47,-70,-52,29,-13,-18,5,34,18,32,87,91}, + {-84,41,-19,96,-51,-19,81,75,81,92,2,-40,-42,-69,-10,-61}, + {-30,98,71,-51,91,-59,58,86,86,-22,-84,7,66,-55,-52,23}, + {-71,-44,-9,90,26,18,26,-10,-85,64,-47,3,72,81,74,-8}, + {52,-59,-91,22,8,-63,84,9,-11,-54,-78,-71,-98,42,96,57}, + {18,-39,34,-50,-62,-96,-2,-78,52,94,-33,2,-19,-9,-86,-75} + }; +const double dB3[][16] = + { + {62,-30,62,92,29,-93,-95,44,-33,-88,-29,9,-88,-42,-90,-70}, + {60,37,-44,-93,-87,6,-53,2,-29,53,-49,59,6,83,-15,50}, + {-19,85,-49,-14,84,-4,12,88,-83,-81,-24,-16,-12,-42,-63,-71}, + {-42,-78,-58,-61,-29,67,-28,-46,64,7,6,-13,88,-42,95,-24}, + {-90,-56,8,-30,-89,70,37,-29,24,-8,-10,-2,-25,-63,-95,-91}, + {10,-81,42,-28,-13,-68,-72,-20,-22,5,-79,-50,-88,62,57,69}, + {-67,24,-71,-43,11,48,33,-93,-82,-65,-4,5,-15,25,-54,-45}, + {-49,19,-29,90,-97,-87,78,-39,-75,-85,-79,-35,54,3,-73,7}, + {-7,39,70,-42,32,-100,56,4,-24,-57,38,-49,-50,-44,79,-42}, + {37,-65,-55,22,-97,-42,-76,95,97,-27,38,11,0,-81,-23,35}, + {26,-70,10,-29,47,-70,-52,29,-13,-18,5,34,18,32,87,91}, + {-84,41,-19,96,-51,-19,81,75,81,92,2,-40,-42,-69,-10,-61}, + {-30,98,71,-51,91,-59,58,86,86,-22,-84,7,66,-55,-52,23}, + {-71,-44,-9,90,26,18,26,-10,-85,64,-47,3,72,81,74,-8}, + {52,-59,-91,22,8,-63,84,9,-11,-54,-78,-71,-98,42,96,57}, + {18,-39,34,-50,-62,-96,-2,-78,52,94,-33,2,-19,-9,-86,-75} + }; +const double dA3[][16] = + { + {-24,65,21,19,94,70,-90,-81,53,-41,-23,-1,58,-80,-54,59}, + {-42,76,-19,98,29,-56,92,14,45,11,82,83,48,-13,81,66}, + {43,-57,-67,95,5,72,11,0,-47,55,-24,36,84,54,-31,-54}, + {-39,-40,19,97,-82,-56,27,95,81,-21,-50,-74,-35,-87,-28,-26}, + {-74,-98,79,92,-24,-48,99,94,55,-83,70,98,-24,18,-67,14}, + {20,76,11,-23,-56,21,0,42,64,86,-74,44,93,-76,-30,97}, + {13,20,-73,-11,-30,80,53,-8,60,21,17,-42,82,-72,-6,-80}, + {36,-93,-64,-21,20,-85,15,24,99,81,-52,64,71,-56,52,63}, + {32,9,-2,-85,17,62,-98,-35,75,-58,-44,-20,-47,89,-95,52}, + {93,-43,86,68,-6,-25,90,57,60,-10,65,-97,43,46,-60,-41}, + {43,-33,0,50,-100,26,-60,95,39,-70,-61,-81,9,-23,-99,-4}, + {20,61,15,43,-96,93,-55,38,-29,-1,-10,26,-87,18,64,6}, + {-98,-84,51,16,-14,86,52,59,44,-39,-2,10,82,-66,54,19}, + {89,-49,-37,-6,-53,40,-11,46,-51,-56,86,34,11,13,-20,-49}, + {-90,14,28,-45,-25,-56,-51,-61,28,-8,51,91,95,-10,-85,58}, + {8,-44,88,-71,-27,11,89,37,86,-78,-44,-56,-87,0,-42,-61} + }; +const int *Ap[4] = {(int*) A0,(int*) A1,(int*) A2,(int*) A3}; +const int *Bp[4] = {(int*) B0,(int*) B1,(int*) B2,(int*) B3}; +const double *dAp[4] = {(double*) dA0,(double*) dA1,(double*) dA2,(double*) dA3}; +const double *dBp[4] = {(double*) dB0,(double*) dB1,(double*) dB2,(double*) dB3}; +int n[4] = {2,4,8,16}; +int n_arrays = 4; diff --git a/buch/papers/multiplikation/code/c_meas_1024.pdf b/buch/papers/multiplikation/code/c_meas_1024.pdf Binary files differnew file mode 100644 index 0000000..95b68b5 --- /dev/null +++ b/buch/papers/multiplikation/code/c_meas_1024.pdf diff --git a/buch/papers/multiplikation/code/c_meas_128.pdf b/buch/papers/multiplikation/code/c_meas_128.pdf Binary files differnew file mode 100644 index 0000000..56b9200 --- /dev/null +++ b/buch/papers/multiplikation/code/c_meas_128.pdf diff --git a/buch/papers/multiplikation/code/c_meas_16.pdf b/buch/papers/multiplikation/code/c_meas_16.pdf Binary files differnew file mode 100644 index 0000000..2edc82d --- /dev/null +++ b/buch/papers/multiplikation/code/c_meas_16.pdf diff --git a/buch/papers/multiplikation/code/c_meas_2048.pdf b/buch/papers/multiplikation/code/c_meas_2048.pdf Binary files differnew file mode 100644 index 0000000..caba698 --- /dev/null +++ b/buch/papers/multiplikation/code/c_meas_2048.pdf diff --git a/buch/papers/multiplikation/code/c_meas_256.pdf b/buch/papers/multiplikation/code/c_meas_256.pdf Binary files differnew file mode 100644 index 0000000..383ae86 --- /dev/null +++ b/buch/papers/multiplikation/code/c_meas_256.pdf diff --git a/buch/papers/multiplikation/code/c_meas_32.pdf b/buch/papers/multiplikation/code/c_meas_32.pdf Binary files differnew file mode 100644 index 0000000..180fd22 --- /dev/null +++ b/buch/papers/multiplikation/code/c_meas_32.pdf diff --git a/buch/papers/multiplikation/code/c_meas_4096.pdf b/buch/papers/multiplikation/code/c_meas_4096.pdf Binary files differnew file mode 100644 index 0000000..f637ae4 --- /dev/null +++ b/buch/papers/multiplikation/code/c_meas_4096.pdf diff --git a/buch/papers/multiplikation/code/c_meas_512.pdf b/buch/papers/multiplikation/code/c_meas_512.pdf Binary files differnew file mode 100644 index 0000000..5e8894e --- /dev/null +++ b/buch/papers/multiplikation/code/c_meas_512.pdf diff --git a/buch/papers/multiplikation/code/c_meas_64.pdf b/buch/papers/multiplikation/code/c_meas_64.pdf Binary files differnew file mode 100644 index 0000000..8ff905c --- /dev/null +++ b/buch/papers/multiplikation/code/c_meas_64.pdf diff --git a/buch/papers/multiplikation/code/c_meas_8.pdf b/buch/papers/multiplikation/code/c_meas_8.pdf Binary files differnew file mode 100644 index 0000000..9682aca --- /dev/null +++ b/buch/papers/multiplikation/code/c_meas_8.pdf diff --git a/buch/papers/multiplikation/code/ci.txt b/buch/papers/multiplikation/code/ci.txt new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/buch/papers/multiplikation/code/ci.txt diff --git a/buch/papers/multiplikation/code/helper_class.py b/buch/papers/multiplikation/code/helper_class.py new file mode 100755 index 0000000..3b74f67 --- /dev/null +++ b/buch/papers/multiplikation/code/helper_class.py @@ -0,0 +1,106 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- +""" +Created on Fri Mar 12 09:02:48 2021 + +@author: nunigan +""" + +from datetime import datetime +import numpy as np + +class Helper(): + def __init__(self): + pass + + def write_c_matrix(self, n_array): + + with open('c_matrix.h', 'w') as file: + file.writelines('/* Seminar Matrizen, autogenerated File, Michael Schmid, {} */ \n \n'.format(datetime.now().strftime("%d/%m/%Y, %H:%M:%S"))) + + file.writelines('#include <stdint.h> \n') + + + + for k, n in enumerate(n_array): + A = np.random.randint(-100,100,(n,n)) + B = np.random.randint(-100,100,(n,n)) + file.writelines('const int A{}[][{}] = \n'.format(k, n)) + file.writelines(' {\n') + for i in range(n): + file.writelines(' {') + for j in range(n): + if j == n-1: + file.writelines('{}'.format(A[i,j])) + else: + file.writelines('{},'.format(A[i,j])) + if i == n-1: + file.writelines('}\n') + else: + file.writelines('},\n') + + file.writelines(' };\n') + + file.writelines('const int B{}[][{}] = \n'.format(k,n)) + file.writelines(' {\n') + for i in range(n): + file.writelines(' {') + for j in range(n): + if j == n-1: + file.writelines('{}'.format(B[i,j])) + else: + file.writelines('{},'.format(B[i,j])) + if i == n-1: + file.writelines('}\n') + else: + file.writelines('},\n') + + file.writelines(' };\n') + + file.writelines('const double dB{}[][{}] = \n'.format(k,n)) + file.writelines(' {\n') + for i in range(n): + file.writelines(' {') + for j in range(n): + if j == n-1: + file.writelines('{}'.format(B[i,j])) + else: + file.writelines('{},'.format(B[i,j])) + if i == n-1: + file.writelines('}\n') + else: + file.writelines('},\n') + + file.writelines(' };\n') + + file.writelines('const double dA{}[][{}] = \n'.format(k,n)) + file.writelines(' {\n') + for i in range(n): + file.writelines(' {') + for j in range(n): + if j == n-1: + file.writelines('{}'.format(A[i,j])) + else: + file.writelines('{},'.format(A[i,j])) + if i == n-1: + file.writelines('}\n') + else: + file.writelines('},\n') + + file.writelines(' };\n') + + file.writelines('const int *Ap[{}] = {{{}}}; \n'.format(len(n_array),",".join(['(int*) A'+str(element) for element in np.arange(len(n_array))]))) + file.writelines('const int *Bp[{}] = {{{}}}; \n'.format(len(n_array),",".join(['(int*) B'+str(element) for element in np.arange(len(n_array))]))) + file.writelines('const double *dAp[{}] = {{{}}}; \n'.format(len(n_array),",".join(['(double*) dA'+str(element) for element in np.arange(len(n_array))]))) + file.writelines('const double *dBp[{}] = {{{}}}; \n'.format(len(n_array),",".join(['(double*) dB'+str(element) for element in np.arange(len(n_array))]))) + file.writelines('int n[{}] = {{{}}}; \n'.format(len(n_array),",".join([str(element) for element in n_array]))) + file.writelines('int n_arrays = {};\n'.format(len(n_array))) + +# test%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +if __name__ == '__main__': + + helper = Helper() + # n = np.arange(2,10) + n = np.logspace(1,11,11,base=2,dtype=(np.int)) + # n=[8192] + # C = helper.write_c_matrix(n) diff --git a/buch/papers/multiplikation/code/meas/MM.txt b/buch/papers/multiplikation/code/meas/MM.txt new file mode 100644 index 0000000..7bffb6e --- /dev/null +++ b/buch/papers/multiplikation/code/meas/MM.txt @@ -0,0 +1,110 @@ +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000001,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000001,4 +0.000001,4 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000001,8 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000021,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000090,32 +0.000093,32 +0.000083,32 +0.000082,32 +0.000090,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000089,32 +0.000126,32 +0.000771,64 +0.000651,64 +0.000651,64 +0.000651,64 +0.000731,64 +0.000673,64 +0.000745,64 +0.000672,64 +0.000671,64 +0.000707,64 +0.005642,128 +0.005579,128 +0.005768,128 +0.005745,128 +0.005518,128 +0.005877,128 +0.005513,128 +0.005850,128 +0.005769,128 +0.005581,128 +0.052188,256 +0.051988,256 +0.051888,256 +0.051518,256 +0.051709,256 +0.051543,256 +0.051707,256 +0.051845,256 +0.051495,256 +0.051834,256 +0.507020,512 +0.504111,512 +0.502049,512 +0.529743,512 +0.501028,512 +0.502097,512 +0.503490,512 +0.502079,512 +0.506688,512 +0.504163,512 +4.538722,1024 +4.291473,1024 +4.516302,1024 +4.374630,1024 +4.719557,1024 +4.438999,1024 +4.641680,1024 +4.407959,1024 +4.441451,1024 +4.677313,1024 +129.433279,2048 +129.277802,2048 +129.284817,2048 +129.086884,2048 +129.197444,2048 +129.350999,2048 +129.264250,2048 +129.295723,2048 +129.402601,2048 +129.300820,2048 diff --git a/buch/papers/multiplikation/code/meas/MM_dc.txt b/buch/papers/multiplikation/code/meas/MM_dc.txt new file mode 100644 index 0000000..b78b925 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/MM_dc.txt @@ -0,0 +1,110 @@ +0.000003,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000002,4 +0.000001,4 +0.000001,4 +0.000001,4 +0.000001,4 +0.000001,4 +0.000001,4 +0.000001,4 +0.000001,4 +0.000001,4 +0.000008,8 +0.000008,8 +0.000008,8 +0.000008,8 +0.000007,8 +0.000007,8 +0.000007,8 +0.000007,8 +0.000018,8 +0.000008,8 +0.000075,16 +0.000063,16 +0.000088,16 +0.000062,16 +0.000086,16 +0.000092,16 +0.000081,16 +0.000080,16 +0.000070,16 +0.000085,16 +0.000581,32 +0.000659,32 +0.000584,32 +0.000714,32 +0.000666,32 +0.000574,32 +0.000616,32 +0.000534,32 +0.000506,32 +0.000506,32 +0.004567,64 +0.004502,64 +0.004332,64 +0.004578,64 +0.004543,64 +0.004426,64 +0.004497,64 +0.004329,64 +0.004288,64 +0.004277,64 +0.036456,128 +0.034901,128 +0.034545,128 +0.034283,128 +0.035150,128 +0.034663,128 +0.034901,128 +0.034022,128 +0.034368,128 +0.035154,128 +0.296292,256 +0.297592,256 +0.302464,256 +0.299557,256 +0.299367,256 +0.306394,256 +0.287616,256 +0.292630,256 +0.289542,256 +0.277019,256 +2.331956,512 +2.224501,512 +2.203910,512 +2.198937,512 +2.206083,512 +2.199477,512 +2.199847,512 +2.225379,512 +2.202491,512 +2.235926,512 +17.649432,1024 +17.636769,1024 +17.639024,1024 +17.625402,1024 +17.722286,1024 +17.611777,1024 +17.653120,1024 +17.748270,1024 +17.691817,1024 +17.614448,1024 +141.943689,2048 +141.580812,2048 +141.882050,2048 +141.516253,2048 +141.351237,2048 +141.641167,2048 +141.596407,2048 +141.607048,2048 +141.469723,2048 +141.515550,2048 diff --git a/buch/papers/multiplikation/code/meas/blas.txt b/buch/papers/multiplikation/code/meas/blas.txt new file mode 100644 index 0000000..9414d8f --- /dev/null +++ b/buch/papers/multiplikation/code/meas/blas.txt @@ -0,0 +1,110 @@ +0.000001,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000001,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000012,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000021,32 +0.000019,32 +0.000030,32 +0.000020,32 +0.000020,32 +0.000020,32 +0.000020,32 +0.000020,32 +0.000020,32 +0.000020,32 +0.000180,64 +0.000192,64 +0.000163,64 +0.000153,64 +0.000153,64 +0.000197,64 +0.000163,64 +0.000267,64 +0.000226,64 +0.000164,64 +0.001216,128 +0.001233,128 +0.001364,128 +0.001278,128 +0.001211,128 +0.001295,128 +0.001206,128 +0.001371,128 +0.001225,128 +0.001250,128 +0.009733,256 +0.009497,256 +0.009586,256 +0.009600,256 +0.009768,256 +0.009566,256 +0.009731,256 +0.009550,256 +0.009664,256 +0.009794,256 +0.077453,512 +0.076616,512 +0.088812,512 +0.075990,512 +0.076925,512 +0.076303,512 +0.075915,512 +0.075600,512 +0.075122,512 +0.075029,512 +0.769186,1024 +0.775780,1024 +0.753906,1024 +0.757834,1024 +0.772001,1024 +0.770950,1024 +0.791317,1024 +0.753319,1024 +0.747228,1024 +0.752347,1024 +7.625205,2048 +7.652278,2048 +7.640682,2048 +7.649428,2048 +7.632806,2048 +7.579347,2048 +7.612317,2048 +7.676742,2048 +7.632979,2048 +7.619210,2048 diff --git a/buch/papers/multiplikation/code/meas/ci/MM.txt b/buch/papers/multiplikation/code/meas/ci/MM.txt new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/ci/MM.txt diff --git a/buch/papers/multiplikation/code/meas/ci/Wino.txt b/buch/papers/multiplikation/code/meas/ci/Wino.txt new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/ci/Wino.txt diff --git a/buch/papers/multiplikation/code/meas/ci/blas.txt b/buch/papers/multiplikation/code/meas/ci/blas.txt new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/ci/blas.txt diff --git a/buch/papers/multiplikation/code/meas/ci/dc.txt b/buch/papers/multiplikation/code/meas/ci/dc.txt new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/ci/dc.txt diff --git a/buch/papers/multiplikation/code/meas/ci/strassen.txt b/buch/papers/multiplikation/code/meas/ci/strassen.txt new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/ci/strassen.txt diff --git a/buch/papers/multiplikation/code/meas/old/8196/MM.txt b/buch/papers/multiplikation/code/meas/old/8196/MM.txt new file mode 100644 index 0000000..0edf9f6 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/old/8196/MM.txt @@ -0,0 +1 @@ +9376.173434,8192 diff --git a/buch/papers/multiplikation/code/meas/old/8196/MM_dc.txt b/buch/papers/multiplikation/code/meas/old/8196/MM_dc.txt new file mode 100644 index 0000000..36f6ff0 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/old/8196/MM_dc.txt @@ -0,0 +1 @@ +9606.402522,8192 diff --git a/buch/papers/multiplikation/code/meas/old/8196/blas.txt b/buch/papers/multiplikation/code/meas/old/8196/blas.txt new file mode 100644 index 0000000..b5989fb --- /dev/null +++ b/buch/papers/multiplikation/code/meas/old/8196/blas.txt @@ -0,0 +1 @@ +478.429957,8192 diff --git a/buch/papers/multiplikation/code/meas/old/8196/strassen.txt b/buch/papers/multiplikation/code/meas/old/8196/strassen.txt new file mode 100644 index 0000000..ca06e97 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/old/8196/strassen.txt @@ -0,0 +1 @@ +3014.235467,8192 diff --git a/buch/papers/multiplikation/code/meas/old/8196/winograd.txt b/buch/papers/multiplikation/code/meas/old/8196/winograd.txt new file mode 100644 index 0000000..2a529c4 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/old/8196/winograd.txt @@ -0,0 +1 @@ +10071.512655,8192 diff --git a/buch/papers/multiplikation/code/meas/old/MM.txt b/buch/papers/multiplikation/code/meas/old/MM.txt new file mode 100644 index 0000000..e296dd7 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/old/MM.txt @@ -0,0 +1,12 @@ +0.000001,2 +0.000001,4 +0.000001,8 +0.000010,16 +0.000081,32 +0.000654,64 +0.005556,128 +0.054253,256 +0.487317,512 +4.162845,1024 +125.909034,2048 +1111.312696,4096 diff --git a/buch/papers/multiplikation/code/meas/old/MM_dc.txt b/buch/papers/multiplikation/code/meas/old/MM_dc.txt new file mode 100644 index 0000000..f6be928 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/old/MM_dc.txt @@ -0,0 +1,12 @@ +0.000003,2 +0.000002,4 +0.000010,8 +0.000068,16 +0.000594,32 +0.004264,64 +0.036289,128 +0.324645,256 +2.612010,512 +19.928951,1024 +159.333884,2048 +1147.106865,4096 diff --git a/buch/papers/multiplikation/code/meas/old/blas.txt b/buch/papers/multiplikation/code/meas/old/blas.txt new file mode 100644 index 0000000..92a61b9 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/old/blas.txt @@ -0,0 +1,12 @@ +0.000001,2 +0.000001,4 +0.000001,8 +0.000003,16 +0.000022,32 +0.000179,64 +0.001278,128 +0.010165,256 +0.074739,512 +0.704748,1024 +6.845095,2048 +55.845038,4096 diff --git a/buch/papers/multiplikation/code/meas/old/strassen.txt b/buch/papers/multiplikation/code/meas/old/strassen.txt new file mode 100644 index 0000000..fdfbf2b --- /dev/null +++ b/buch/papers/multiplikation/code/meas/old/strassen.txt @@ -0,0 +1,12 @@ +0.000001,2 +0.000003,4 +0.000010,8 +0.000066,16 +0.000470,32 +0.003368,64 +0.024232,128 +0.172000,256 +1.209262,512 +8.457472,1024 +59.267256,2048 +414.648901,4096 diff --git a/buch/papers/multiplikation/code/meas/old/winograd.txt b/buch/papers/multiplikation/code/meas/old/winograd.txt new file mode 100644 index 0000000..d185906 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/old/winograd.txt @@ -0,0 +1,12 @@ +0.000001,2 +0.000001,4 +0.000002,8 +0.000011,16 +0.000100,32 +0.000654,64 +0.005229,128 +0.057440,256 +0.517850,512 +4.539413,1024 +130.627663,2048 +1179.261048,4096 diff --git a/buch/papers/multiplikation/code/meas/strassen.txt b/buch/papers/multiplikation/code/meas/strassen.txt new file mode 100644 index 0000000..d6e040e --- /dev/null +++ b/buch/papers/multiplikation/code/meas/strassen.txt @@ -0,0 +1,110 @@ +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000004,4 +0.000002,4 +0.000002,4 +0.000002,4 +0.000002,4 +0.000002,4 +0.000002,4 +0.000002,4 +0.000002,4 +0.000001,4 +0.000020,8 +0.000018,8 +0.000008,8 +0.000008,8 +0.000008,8 +0.000008,8 +0.000008,8 +0.000008,8 +0.000008,8 +0.000019,8 +0.000080,16 +0.000075,16 +0.000078,16 +0.000085,16 +0.000065,16 +0.000065,16 +0.000065,16 +0.000064,16 +0.000065,16 +0.000065,16 +0.000546,32 +0.000480,32 +0.000563,32 +0.000551,32 +0.000502,32 +0.000504,32 +0.000463,32 +0.000462,32 +0.000508,32 +0.000462,32 +0.003675,64 +0.003665,64 +0.003493,64 +0.003708,64 +0.003465,64 +0.003502,64 +0.003710,64 +0.003537,64 +0.003637,64 +0.003568,64 +0.025342,128 +0.025179,128 +0.026475,128 +0.025758,128 +0.025333,128 +0.024988,128 +0.025727,128 +0.025298,128 +0.025283,128 +0.025098,128 +0.181311,256 +0.178432,256 +0.177075,256 +0.177474,256 +0.177025,256 +0.177805,256 +0.177944,256 +0.178151,256 +0.177858,256 +0.178742,256 +1.283374,512 +1.246682,512 +1.245898,512 +1.251547,512 +1.250288,512 +1.250495,512 +1.257037,512 +1.255247,512 +1.255382,512 +1.259050,512 +8.784102,1024 +8.845725,1024 +8.771100,1024 +8.770184,1024 +8.955977,1024 +8.849161,1024 +8.806902,1024 +8.808937,1024 +8.848900,1024 +8.861383,1024 +61.787123,2048 +61.972599,2048 +61.822434,2048 +62.051331,2048 +61.946171,2048 +61.911404,2048 +61.872671,2048 +61.791260,2048 +61.818110,2048 +62.045588,2048 diff --git a/buch/papers/multiplikation/code/meas/test/4096/MM.txt b/buch/papers/multiplikation/code/meas/test/4096/MM.txt new file mode 100644 index 0000000..25e40e1 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/test/4096/MM.txt @@ -0,0 +1,12 @@ +0.000000,2 +0.000000,4 +0.000002,8 +0.000011,16 +0.000100,32 +0.000712,64 +0.005498,128 +0.046711,256 +0.489233,512 +4.006544,1024 +124.427496,2048 +993.405615,4096 diff --git a/buch/papers/multiplikation/code/meas/test/4096/strassen.txt b/buch/papers/multiplikation/code/meas/test/4096/strassen.txt new file mode 100644 index 0000000..eb2a496 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/test/4096/strassen.txt @@ -0,0 +1,12 @@ +0.000007,2 +0.000007,4 +0.000029,8 +0.000199,16 +0.001414,32 +0.007583,64 +0.028096,128 +0.171662,256 +1.198323,512 +8.421896,1024 +58.803644,2048 +415.115401,4096 diff --git a/buch/papers/multiplikation/code/meas/test/MM.txt b/buch/papers/multiplikation/code/meas/test/MM.txt new file mode 100644 index 0000000..e0754ab --- /dev/null +++ b/buch/papers/multiplikation/code/meas/test/MM.txt @@ -0,0 +1,14900 @@ +0.000004,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000001,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000001,8 +0.000001,8 +0.000002,8 +0.000002,8 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000006,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000013,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000008,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000016,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000007,14 +0.000011,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000025,16 +0.000011,16 +0.000020,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000010,16 +0.000016,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000014,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000014,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000015,18 +0.000014,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000015,18 +0.000014,18 +0.000021,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000030,20 +0.000029,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000030,20 +0.000030,20 +0.000029,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000048,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000020,20 +0.000027,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000033,22 +0.000040,22 +0.000045,22 +0.000046,22 +0.000041,22 +0.000040,22 +0.000040,22 +0.000040,22 +0.000042,22 +0.000040,22 +0.000043,22 +0.000030,22 +0.000036,22 +0.000026,22 +0.000037,22 +0.000049,22 +0.000036,22 +0.000046,22 +0.000047,22 +0.000049,22 +0.000037,22 +0.000035,22 +0.000037,22 +0.000050,22 +0.000055,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000036,22 +0.000036,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000026,22 +0.000036,22 +0.000046,22 +0.000062,22 +0.000047,22 +0.000036,22 +0.000047,22 +0.000041,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000050,24 +0.000053,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000055,24 +0.000058,26 +0.000055,26 +0.000077,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000052,26 +0.000043,26 +0.000043,26 +0.000066,26 +0.000061,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000054,28 +0.000054,28 +0.000053,28 +0.000053,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000065,28 +0.000066,28 +0.000058,28 +0.000097,28 +0.000084,28 +0.000073,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000053,28 +0.000054,28 +0.000054,28 +0.000073,28 +0.000054,28 +0.000053,28 +0.000054,28 +0.000054,28 +0.000053,28 +0.000073,28 +0.000054,28 +0.000064,28 +0.000063,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000073,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000082,28 +0.000063,28 +0.000083,28 +0.000063,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000069,30 +0.000066,30 +0.000066,30 +0.000074,30 +0.000103,30 +0.000108,30 +0.000107,30 +0.000112,30 +0.000111,30 +0.000087,30 +0.000105,30 +0.000076,30 +0.000066,30 +0.000107,30 +0.000119,30 +0.000105,30 +0.000117,30 +0.000077,30 +0.000077,30 +0.000069,30 +0.000069,30 +0.000069,30 +0.000069,30 +0.000079,30 +0.000069,30 +0.000069,30 +0.000069,30 +0.000069,30 +0.000069,30 +0.000069,30 +0.000069,30 +0.000069,30 +0.000077,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000096,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000085,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000089,30 +0.000066,30 +0.000066,30 +0.000066,30 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000079,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000102,32 +0.000091,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000090,32 +0.000119,32 +0.000129,32 +0.000134,32 +0.000095,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000100,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000102,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000100,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000100,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000114,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000080,32 +0.000098,34 +0.000096,34 +0.000106,34 +0.000124,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000134,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000131,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000119,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000154,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000116,36 +0.000153,36 +0.000133,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000123,36 +0.000142,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000150,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000113,36 +0.000143,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000143,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000143,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000145,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000161,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000180,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000141,38 +0.000143,38 +0.000168,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000168,40 +0.000164,40 +0.000165,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000166,40 +0.000164,40 +0.000268,40 +0.000164,40 +0.000164,40 +0.000165,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000188,40 +0.000183,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000174,40 +0.000293,40 +0.000184,40 +0.000164,40 +0.000164,40 +0.000170,40 +0.000234,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000195,40 +0.000174,40 +0.000164,40 +0.000214,40 +0.000234,40 +0.000203,40 +0.000164,40 +0.000183,40 +0.000183,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000186,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000164,40 +0.000190,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000200,42 +0.000198,42 +0.000215,42 +0.000258,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000231,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000201,42 +0.000252,42 +0.000189,42 +0.000189,42 +0.000347,42 +0.000296,42 +0.000208,42 +0.000194,42 +0.000195,42 +0.000213,42 +0.000215,42 +0.000323,42 +0.000235,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000199,42 +0.000220,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000199,42 +0.000240,42 +0.000189,42 +0.000222,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000209,42 +0.000199,42 +0.000194,42 +0.000194,42 +0.000194,42 +0.000194,42 +0.000194,42 +0.000194,42 +0.000194,42 +0.000194,42 +0.000194,42 +0.000202,42 +0.000223,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000189,42 +0.000222,44 +0.000216,44 +0.000217,44 +0.000216,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000216,44 +0.000217,44 +0.000288,44 +0.000228,44 +0.000216,44 +0.000217,44 +0.000254,44 +0.000216,44 +0.000216,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000216,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000216,44 +0.000216,44 +0.000268,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000216,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000256,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000254,44 +0.000255,44 +0.000217,44 +0.000216,44 +0.000216,44 +0.000216,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000216,44 +0.000240,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000216,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000216,44 +0.000217,44 +0.000245,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000216,44 +0.000217,44 +0.000217,44 +0.000216,44 +0.000217,44 +0.000217,44 +0.000217,44 +0.000250,46 +0.000246,46 +0.000246,46 +0.000249,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000257,46 +0.000275,46 +0.000303,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000285,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000250,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000252,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000253,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000253,46 +0.000257,46 +0.000277,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000285,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000246,46 +0.000250,46 +0.000286,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000279,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000279,48 +0.000280,48 +0.000286,48 +0.000280,48 +0.000280,48 +0.000279,48 +0.000279,48 +0.000279,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000279,48 +0.000284,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000279,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000279,48 +0.000280,48 +0.000280,48 +0.000279,48 +0.000284,48 +0.000280,48 +0.000280,48 +0.000290,48 +0.000311,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000318,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000281,48 +0.000279,48 +0.000280,48 +0.000279,48 +0.000280,48 +0.000280,48 +0.000279,48 +0.000280,48 +0.000279,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000283,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000281,48 +0.000321,48 +0.000280,48 +0.000332,48 +0.000316,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000279,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000280,48 +0.000334,48 +0.000343,48 +0.000319,50 +0.000338,50 +0.000315,50 +0.000431,50 +0.000315,50 +0.000335,50 +0.000315,50 +0.000446,50 +0.000315,50 +0.000315,50 +0.000351,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000359,50 +0.000315,50 +0.000343,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000355,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000352,50 +0.000315,50 +0.000315,50 +0.000325,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000326,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000354,50 +0.000339,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000343,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000334,50 +0.000376,50 +0.000317,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000315,50 +0.000319,50 +0.000315,50 +0.000359,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000354,52 +0.000353,52 +0.000362,52 +0.000353,52 +0.000354,52 +0.000356,52 +0.000392,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000354,52 +0.000353,52 +0.000354,52 +0.000354,52 +0.000358,52 +0.000353,52 +0.000354,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000354,52 +0.000353,52 +0.000354,52 +0.000355,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000354,52 +0.000357,52 +0.000353,52 +0.000354,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000354,52 +0.000353,52 +0.000354,52 +0.000362,52 +0.000356,52 +0.000354,52 +0.000353,52 +0.000392,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000358,52 +0.000353,52 +0.000353,52 +0.000354,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000354,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000355,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000358,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000353,52 +0.000355,52 +0.000409,54 +0.000395,54 +0.000395,54 +0.000405,54 +0.000423,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000400,54 +0.000394,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000396,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000394,54 +0.000395,54 +0.000395,54 +0.000396,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000394,54 +0.000395,54 +0.000395,54 +0.000398,54 +0.000395,54 +0.000403,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000434,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000397,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000399,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000395,54 +0.000421,54 +0.000395,54 +0.000395,54 +0.000473,54 +0.000404,54 +0.000419,54 +0.000415,54 +0.000419,54 +0.000408,54 +0.000443,54 +0.000419,54 +0.000395,54 +0.000419,54 +0.000434,54 +0.000409,54 +0.000467,54 +0.000462,54 +0.000429,54 +0.000395,54 +0.000440,54 +0.000415,54 +0.000395,54 +0.000497,54 +0.000415,54 +0.000395,54 +0.000436,54 +0.000395,54 +0.000395,54 +0.000431,54 +0.000395,54 +0.000444,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000469,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000463,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000448,56 +0.000439,56 +0.000439,56 +0.000523,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000472,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000535,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000461,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000450,56 +0.000439,56 +0.000468,56 +0.000478,56 +0.000439,56 +0.000439,56 +0.000440,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000441,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000461,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000457,56 +0.000451,56 +0.000451,56 +0.000448,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000439,56 +0.000470,56 +0.000439,56 +0.000439,56 +0.000537,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000512,58 +0.000500,58 +0.000497,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000529,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000491,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000511,58 +0.000496,58 +0.000487,58 +0.000487,58 +0.000526,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000492,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000489,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000489,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000491,58 +0.000487,58 +0.000495,58 +0.000487,58 +0.000487,58 +0.000526,58 +0.000487,58 +0.000487,58 +0.000489,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000521,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000487,58 +0.000545,58 +0.000521,58 +0.000511,58 +0.000557,58 +0.000544,58 +0.000531,58 +0.000500,58 +0.000498,58 +0.000539,58 +0.000521,58 +0.000517,58 +0.000549,58 +0.000508,58 +0.000576,60 +0.000609,60 +0.000601,60 +0.000538,60 +0.000538,60 +0.000582,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000543,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000540,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000542,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000546,60 +0.000538,60 +0.000579,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000569,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000570,60 +0.000567,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000542,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000546,60 +0.000538,60 +0.000541,60 +0.000577,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000543,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000540,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000542,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000548,60 +0.000609,60 +0.000538,60 +0.000570,60 +0.000538,60 +0.000558,60 +0.000558,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000538,60 +0.000542,60 +0.000538,60 +0.000597,62 +0.000593,62 +0.000593,62 +0.000595,62 +0.000593,62 +0.000594,62 +0.000593,62 +0.000592,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000597,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000633,62 +0.000595,62 +0.000601,62 +0.000593,62 +0.000632,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000598,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000595,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000594,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000597,62 +0.000593,62 +0.000601,62 +0.000593,62 +0.000632,62 +0.000593,62 +0.000595,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000597,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000606,62 +0.000668,62 +0.000617,62 +0.000617,62 +0.000637,62 +0.000607,62 +0.000634,62 +0.000625,62 +0.000608,62 +0.000667,62 +0.000634,62 +0.000653,62 +0.000683,62 +0.000625,62 +0.000593,62 +0.000593,62 +0.000635,62 +0.000593,62 +0.000593,62 +0.000633,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000593,62 +0.000613,62 +0.000677,62 +0.000746,62 +0.000613,62 +0.000749,62 +0.000623,62 +0.000612,62 +0.000593,62 +0.000632,62 +0.000593,62 +0.000612,62 +0.000658,64 +0.000681,64 +0.000651,64 +0.000697,64 +0.000650,64 +0.000650,64 +0.000671,64 +0.000650,64 +0.000650,64 +0.000680,64 +0.000650,64 +0.000650,64 +0.000651,64 +0.000650,64 +0.000651,64 +0.000673,64 +0.000732,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000654,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000659,64 +0.000653,64 +0.000690,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000655,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000652,64 +0.000651,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000654,64 +0.000650,64 +0.000670,64 +0.000670,64 +0.000650,64 +0.000709,64 +0.000663,64 +0.000689,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000655,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000652,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000654,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000652,64 +0.000658,64 +0.000650,64 +0.000689,64 +0.000650,64 +0.000650,64 +0.000655,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000652,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000650,64 +0.000654,64 +0.000650,64 +0.000650,64 +0.000651,64 +0.000651,64 +0.000650,64 +0.000725,66 +0.000713,66 +0.000722,66 +0.000713,66 +0.000752,66 +0.000713,66 +0.000718,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000759,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000717,66 +0.000713,66 +0.000812,66 +0.000736,66 +0.000740,66 +0.000776,66 +0.000755,66 +0.000738,66 +0.000766,66 +0.000775,66 +0.000797,66 +0.000776,66 +0.000829,66 +0.000722,66 +0.000713,66 +0.000713,66 +0.000736,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000859,66 +0.000825,66 +0.000713,66 +0.000713,66 +0.000733,66 +0.000757,66 +0.000713,66 +0.000733,66 +0.000765,66 +0.000772,66 +0.000894,66 +0.000713,66 +0.000713,66 +0.000752,66 +0.000731,66 +0.000754,66 +0.000723,66 +0.000713,66 +0.000734,66 +0.000713,66 +0.000713,66 +0.000749,66 +0.000793,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000840,66 +0.000768,66 +0.000752,66 +0.000756,66 +0.000713,66 +0.000724,66 +0.000781,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000736,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000736,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000744,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000713,66 +0.000712,66 +0.000745,66 +0.000713,66 +0.000752,66 +0.000713,66 +0.000713,66 +0.000719,66 +0.000713,66 +0.000789,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000785,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000783,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000780,68 +0.000787,68 +0.000817,68 +0.000778,68 +0.000778,68 +0.000783,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000780,68 +0.000779,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000780,68 +0.000779,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000782,68 +0.000778,68 +0.000787,68 +0.000778,68 +0.000817,68 +0.000781,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000783,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000780,68 +0.000778,68 +0.000845,68 +0.000822,68 +0.000813,68 +0.000832,68 +0.000826,68 +0.000902,68 +0.000890,68 +0.000835,68 +0.000799,68 +0.000868,68 +0.000778,68 +0.000778,68 +0.000816,68 +0.000778,68 +0.000779,68 +0.000778,68 +0.000778,68 +0.000813,68 +0.000798,68 +0.000778,68 +0.000778,68 +0.000798,68 +0.000820,68 +0.000778,68 +0.000779,68 +0.000778,68 +0.000787,68 +0.000841,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000783,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000780,68 +0.000846,68 +0.000778,68 +0.000778,68 +0.000778,68 +0.000786,68 +0.000779,68 +0.000778,68 +0.000779,68 +0.000790,68 +0.000864,70 +0.000887,70 +0.000848,70 +0.000895,70 +0.000856,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000850,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000849,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000863,70 +0.000848,70 +0.000887,70 +0.000848,70 +0.000848,70 +0.000852,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000854,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000850,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000852,70 +0.000857,70 +0.000848,70 +0.000887,70 +0.000848,70 +0.000850,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000896,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000850,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000848,70 +0.000852,70 +0.000848,70 +0.000857,70 +0.000887,70 +0.000848,70 +0.000851,70 +0.001152,70 +0.000848,70 +0.000848,70 +0.000880,70 +0.001018,70 +0.000848,70 +0.001016,70 +0.000885,70 +0.000848,70 +0.000935,70 +0.000894,70 +0.000883,70 +0.000921,70 +0.000926,70 +0.000922,70 +0.001052,70 +0.000956,70 +0.000883,70 +0.001083,70 +0.000970,70 +0.001244,70 +0.000980,70 +0.000928,70 +0.000927,70 +0.000914,70 +0.000951,70 +0.000948,70 +0.000969,70 +0.000974,70 +0.000970,70 +0.001081,70 +0.001080,70 +0.000962,70 +0.000948,70 +0.000948,70 +0.000946,70 +0.000934,70 +0.000946,70 +0.001066,72 +0.001042,72 +0.001018,72 +0.001084,72 +0.001068,72 +0.001038,72 +0.001056,72 +0.001073,72 +0.001119,72 +0.001100,72 +0.001092,72 +0.001032,72 +0.001029,72 +0.001016,72 +0.001057,72 +0.001057,72 +0.001057,72 +0.001068,72 +0.001039,72 +0.001038,72 +0.001066,72 +0.001032,72 +0.001037,72 +0.001037,72 +0.001135,72 +0.001046,72 +0.001085,72 +0.001089,72 +0.001054,72 +0.001079,72 +0.001024,72 +0.001033,72 +0.001036,72 +0.001050,72 +0.000921,72 +0.001033,72 +0.001062,72 +0.000960,72 +0.000921,72 +0.001050,72 +0.001081,72 +0.001111,72 +0.001031,72 +0.001009,72 +0.001014,72 +0.000946,72 +0.001031,72 +0.000950,72 +0.001043,72 +0.000921,72 +0.000921,72 +0.001055,72 +0.000958,72 +0.001054,72 +0.001056,72 +0.000921,72 +0.000980,72 +0.001135,72 +0.001088,72 +0.001116,72 +0.000955,72 +0.000921,72 +0.001174,72 +0.000941,72 +0.000967,72 +0.001058,72 +0.000921,72 +0.000921,72 +0.000947,72 +0.001054,72 +0.000941,72 +0.001007,72 +0.001018,72 +0.001027,72 +0.000987,72 +0.001003,72 +0.001095,72 +0.000942,72 +0.001094,72 +0.000921,72 +0.000971,72 +0.000921,72 +0.000921,72 +0.000942,72 +0.000965,72 +0.000921,72 +0.000921,72 +0.000921,72 +0.000921,72 +0.000966,72 +0.000941,72 +0.000921,72 +0.000941,72 +0.000996,72 +0.000921,72 +0.000921,72 +0.000921,72 +0.000967,72 +0.000921,72 +0.000921,72 +0.001012,74 +0.001031,74 +0.000999,74 +0.001078,74 +0.000998,74 +0.001047,74 +0.000999,74 +0.000999,74 +0.000999,74 +0.001067,74 +0.001024,74 +0.000998,74 +0.000999,74 +0.001002,74 +0.000998,74 +0.000998,74 +0.000998,74 +0.001007,74 +0.000998,74 +0.000998,74 +0.000998,74 +0.001001,74 +0.000998,74 +0.000999,74 +0.001053,74 +0.001033,74 +0.001023,74 +0.000999,74 +0.000998,74 +0.001003,74 +0.000999,74 +0.000999,74 +0.000998,74 +0.001000,74 +0.000999,74 +0.000998,74 +0.000998,74 +0.001005,74 +0.000999,74 +0.000998,74 +0.000998,74 +0.001000,74 +0.001022,74 +0.001024,74 +0.000999,74 +0.001007,74 +0.000999,74 +0.000999,74 +0.000998,74 +0.001000,74 +0.000998,74 +0.000998,74 +0.000999,74 +0.001000,74 +0.000999,74 +0.000999,74 +0.000999,74 +0.001002,74 +0.001021,74 +0.000998,74 +0.001023,74 +0.001002,74 +0.000998,74 +0.000998,74 +0.000998,74 +0.001005,74 +0.000999,74 +0.000999,74 +0.000998,74 +0.001000,74 +0.000998,74 +0.000999,74 +0.001075,74 +0.001077,74 +0.001043,74 +0.001087,74 +0.001126,74 +0.001090,74 +0.001029,74 +0.001098,74 +0.001032,74 +0.000999,74 +0.000998,74 +0.001048,74 +0.001004,74 +0.000999,74 +0.000999,74 +0.000999,74 +0.001006,74 +0.000999,74 +0.000999,74 +0.001023,74 +0.001028,74 +0.000999,74 +0.000998,74 +0.000999,74 +0.001007,74 +0.000998,74 +0.000998,74 +0.000998,74 +0.001095,76 +0.001081,76 +0.001153,76 +0.001081,76 +0.001095,76 +0.001081,76 +0.001081,76 +0.001111,76 +0.001116,76 +0.001082,76 +0.001080,76 +0.001091,76 +0.001080,76 +0.001081,76 +0.001081,76 +0.001083,76 +0.001081,76 +0.001081,76 +0.001082,76 +0.001277,76 +0.001102,76 +0.001101,76 +0.001132,76 +0.001106,76 +0.001081,76 +0.001105,76 +0.001081,76 +0.001081,76 +0.001081,76 +0.001104,76 +0.001081,76 +0.001080,76 +0.001081,76 +0.001109,76 +0.001081,76 +0.001081,76 +0.001109,76 +0.001103,76 +0.001105,76 +0.001081,76 +0.001089,76 +0.001081,76 +0.001081,76 +0.001080,76 +0.001082,76 +0.001081,76 +0.001081,76 +0.001102,76 +0.001081,76 +0.001081,76 +0.001081,76 +0.001085,76 +0.001080,76 +0.001103,76 +0.001104,76 +0.001107,76 +0.001081,76 +0.001081,76 +0.001089,76 +0.001174,76 +0.001081,76 +0.001081,76 +0.001330,76 +0.001080,76 +0.001081,76 +0.001148,76 +0.001121,76 +0.001161,76 +0.001117,76 +0.001203,76 +0.001255,76 +0.001144,76 +0.001592,76 +0.002119,76 +0.002177,76 +0.001425,76 +0.001322,76 +0.001309,76 +0.001290,76 +0.001266,76 +0.001303,76 +0.001343,76 +0.001229,76 +0.001141,76 +0.001222,76 +0.001349,76 +0.001260,76 +0.001221,76 +0.001172,76 +0.001276,76 +0.001166,76 +0.001110,76 +0.001237,76 +0.001164,76 +0.001207,76 +0.001205,76 +0.001145,76 +0.001226,76 +0.001109,76 +0.001230,76 +0.001250,78 +0.001198,78 +0.001318,78 +0.001202,78 +0.001205,78 +0.001384,78 +0.001220,78 +0.001353,78 +0.001168,78 +0.001194,78 +0.001167,78 +0.001167,78 +0.001167,78 +0.001215,78 +0.001167,78 +0.001167,78 +0.001201,78 +0.001167,78 +0.001167,78 +0.001239,78 +0.001190,78 +0.001191,78 +0.001168,78 +0.001204,78 +0.001167,78 +0.001167,78 +0.001198,78 +0.001167,78 +0.001177,78 +0.001198,78 +0.001167,78 +0.001167,78 +0.001167,78 +0.001221,78 +0.001190,78 +0.001194,78 +0.001362,78 +0.001167,78 +0.001167,78 +0.001210,78 +0.001167,78 +0.001167,78 +0.001167,78 +0.001204,78 +0.001167,78 +0.001167,78 +0.001283,78 +0.001278,78 +0.001323,78 +0.001268,78 +0.001204,78 +0.001262,78 +0.001289,78 +0.001167,78 +0.001167,78 +0.001167,78 +0.001202,78 +0.001309,78 +0.001167,78 +0.001206,78 +0.001167,78 +0.001167,78 +0.001423,78 +0.001194,78 +0.001167,78 +0.001167,78 +0.001211,78 +0.001168,78 +0.001168,78 +0.001192,78 +0.001251,78 +0.001167,78 +0.001332,78 +0.001199,78 +0.001190,78 +0.001189,78 +0.001204,78 +0.001191,78 +0.001167,78 +0.001212,78 +0.001167,78 +0.001167,78 +0.001207,78 +0.001167,78 +0.001167,78 +0.001167,78 +0.001201,78 +0.001167,78 +0.001167,78 +0.001239,78 +0.001167,78 +0.001192,78 +0.001184,78 +0.001186,78 +0.001168,78 +0.001167,78 +0.001173,78 +0.001168,78 +0.001167,78 +0.001169,78 +0.001268,80 +0.001257,80 +0.001261,80 +0.001279,80 +0.001282,80 +0.001257,80 +0.001261,80 +0.001257,80 +0.001257,80 +0.001263,80 +0.001257,80 +0.001257,80 +0.001259,80 +0.001257,80 +0.001287,80 +0.001268,80 +0.001257,80 +0.001297,80 +0.001284,80 +0.001257,80 +0.001257,80 +0.001259,80 +0.001257,80 +0.001257,80 +0.001256,80 +0.001263,80 +0.001257,80 +0.001257,80 +0.001259,80 +0.001353,80 +0.001333,80 +0.001366,80 +0.001305,80 +0.001357,80 +0.001332,80 +0.001365,80 +0.001257,80 +0.001291,80 +0.001257,80 +0.001257,80 +0.001282,80 +0.001257,80 +0.001278,80 +0.001294,80 +0.001280,80 +0.001257,80 +0.001286,80 +0.001257,80 +0.001257,80 +0.001280,80 +0.001257,80 +0.001330,80 +0.001257,80 +0.001302,80 +0.001257,80 +0.001257,80 +0.001283,80 +0.001281,80 +0.001257,80 +0.001261,80 +0.001257,80 +0.001257,80 +0.001297,80 +0.001306,80 +0.001257,80 +0.001300,80 +0.001267,80 +0.001257,80 +0.001323,80 +0.001278,80 +0.001280,80 +0.001281,80 +0.001257,80 +0.001257,80 +0.001274,80 +0.001266,80 +0.001257,80 +0.001257,80 +0.001259,80 +0.001257,80 +0.001257,80 +0.001260,80 +0.001278,80 +0.001353,80 +0.001274,80 +0.001259,80 +0.001257,80 +0.001263,80 +0.001257,80 +0.001257,80 +0.001259,80 +0.001257,80 +0.001257,80 +0.001261,80 +0.001434,80 +0.001276,80 +0.001527,80 +0.001383,80 +0.001498,80 +0.001345,80 +0.001604,82 +0.001498,82 +0.001578,82 +0.001498,82 +0.001565,82 +0.001591,82 +0.001523,82 +0.001503,82 +0.001502,82 +0.001531,82 +0.001463,82 +0.001638,82 +0.001432,82 +0.001530,82 +0.001492,82 +0.001578,82 +0.001501,82 +0.001977,82 +0.001577,82 +0.001540,82 +0.001526,82 +0.001540,82 +0.001564,82 +0.001492,82 +0.001627,82 +0.001528,82 +0.001529,82 +0.001539,82 +0.001479,82 +0.001453,82 +0.001450,82 +0.001442,82 +0.001445,82 +0.001457,82 +0.001457,82 +0.001469,82 +0.001572,82 +0.001430,82 +0.001776,82 +0.001605,82 +0.001509,82 +0.001503,82 +0.001509,82 +0.001536,82 +0.001509,82 +0.001493,82 +0.001517,82 +0.001511,82 +0.001508,82 +0.001513,82 +0.001536,82 +0.001484,82 +0.001468,82 +0.001473,82 +0.001476,82 +0.001487,82 +0.001474,82 +0.001489,82 +0.001553,82 +0.001523,82 +0.001489,82 +0.001544,82 +0.001542,82 +0.001464,82 +0.001463,82 +0.001469,82 +0.001482,82 +0.001511,82 +0.001423,82 +0.001497,82 +0.001488,82 +0.001635,82 +0.001456,82 +0.001527,82 +0.001452,82 +0.001566,82 +0.001485,82 +0.001559,82 +0.001428,82 +0.001697,82 +0.001431,82 +0.001431,82 +0.001410,82 +0.001421,82 +0.001736,82 +0.001462,82 +0.001439,82 +0.001382,82 +0.001366,82 +0.001766,82 +0.001578,82 +0.001466,82 +0.001366,82 +0.001556,82 +0.001485,82 +0.001559,82 +0.001420,82 +0.001509,82 +0.001448,82 +0.001433,82 +0.001505,84 +0.001708,84 +0.001583,84 +0.001532,84 +0.001867,84 +0.001624,84 +0.001513,84 +0.001615,84 +0.001491,84 +0.001673,84 +0.001537,84 +0.001602,84 +0.001517,84 +0.001776,84 +0.001573,84 +0.001652,84 +0.001731,84 +0.001606,84 +0.001568,84 +0.001583,84 +0.001534,84 +0.001584,84 +0.001581,84 +0.001996,84 +0.001828,84 +0.001970,84 +0.001907,84 +0.001872,84 +0.001870,84 +0.001966,84 +0.001880,84 +0.001653,84 +0.001818,84 +0.001933,84 +0.001632,84 +0.001582,84 +0.001560,84 +0.001675,84 +0.001603,84 +0.001697,84 +0.001657,84 +0.001648,84 +0.001725,84 +0.001654,84 +0.001623,84 +0.001516,84 +0.001491,84 +0.001517,84 +0.001491,84 +0.001679,84 +0.001637,84 +0.001610,84 +0.001630,84 +0.001572,84 +0.001564,84 +0.001569,84 +0.001545,84 +0.001588,84 +0.001658,84 +0.001571,84 +0.001573,84 +0.001709,84 +0.001576,84 +0.001554,84 +0.001481,84 +0.001796,84 +0.001491,84 +0.001621,84 +0.001545,84 +0.001453,84 +0.001494,84 +0.001452,84 +0.001563,84 +0.001522,84 +0.001584,84 +0.001637,84 +0.001725,84 +0.001619,84 +0.001604,84 +0.001670,84 +0.001588,84 +0.001708,84 +0.001615,84 +0.001452,84 +0.001606,84 +0.001490,84 +0.001604,84 +0.001579,84 +0.001527,84 +0.001452,84 +0.001499,84 +0.001452,84 +0.001465,84 +0.001486,84 +0.001555,84 +0.001452,84 +0.001526,84 +0.001675,84 +0.001599,84 +0.001499,84 +0.001638,86 +0.001737,86 +0.001600,86 +0.001737,86 +0.001559,86 +0.001559,86 +0.001749,86 +0.001691,86 +0.001658,86 +0.001558,86 +0.001590,86 +0.001558,86 +0.001559,86 +0.001587,86 +0.001558,86 +0.001680,86 +0.001558,86 +0.001579,86 +0.001627,86 +0.001597,86 +0.001789,86 +0.001558,86 +0.001558,86 +0.001584,86 +0.001559,86 +0.001583,86 +0.001558,86 +0.001703,86 +0.001776,86 +0.001597,86 +0.001583,86 +0.001558,86 +0.001559,86 +0.001690,86 +0.001600,86 +0.001592,86 +0.001559,86 +0.001559,86 +0.001683,86 +0.001761,86 +0.001623,86 +0.001558,86 +0.001558,86 +0.001584,86 +0.001558,86 +0.001581,86 +0.001796,86 +0.001659,86 +0.001857,86 +0.001810,86 +0.001826,86 +0.001671,86 +0.001702,86 +0.001696,86 +0.001702,86 +0.001628,86 +0.001734,86 +0.001704,86 +0.001711,86 +0.001851,86 +0.001669,86 +0.001721,86 +0.001756,86 +0.001707,86 +0.001834,86 +0.001838,86 +0.001635,86 +0.001871,86 +0.001859,86 +0.001666,86 +0.001666,86 +0.001657,86 +0.001668,86 +0.001654,86 +0.001675,86 +0.001891,86 +0.001799,86 +0.001804,86 +0.001750,86 +0.001787,86 +0.001738,86 +0.001770,86 +0.001625,86 +0.001771,86 +0.001757,86 +0.001690,86 +0.001711,86 +0.001751,86 +0.001820,86 +0.001612,86 +0.001733,86 +0.001706,86 +0.001678,86 +0.001699,86 +0.001700,86 +0.001734,86 +0.001750,86 +0.001779,86 +0.001700,86 +0.001779,86 +0.001813,88 +0.001813,88 +0.001888,88 +0.001836,88 +0.001887,88 +0.001911,88 +0.001892,88 +0.001787,88 +0.001867,88 +0.001848,88 +0.001905,88 +0.001843,88 +0.001897,88 +0.002130,88 +0.004302,88 +0.001848,88 +0.001766,88 +0.001722,88 +0.001804,88 +0.001802,88 +0.001815,88 +0.001818,88 +0.001847,88 +0.001865,88 +0.001767,88 +0.001776,88 +0.001751,88 +0.001773,88 +0.001744,88 +0.001782,88 +0.001919,88 +0.002034,88 +0.001918,88 +0.001979,88 +0.001885,88 +0.001895,88 +0.001865,88 +0.001859,88 +0.001773,88 +0.001917,88 +0.001851,88 +0.001844,88 +0.001803,88 +0.001832,88 +0.001774,88 +0.001863,88 +0.001940,88 +0.001916,88 +0.001999,88 +0.001922,88 +0.001866,88 +0.001984,88 +0.001864,88 +0.001809,88 +0.001784,88 +0.001841,88 +0.001970,88 +0.001865,88 +0.001875,88 +0.001867,88 +0.001998,88 +0.001879,88 +0.001818,88 +0.001863,88 +0.001943,88 +0.002102,88 +0.001872,88 +0.001922,88 +0.001922,88 +0.001738,88 +0.001803,88 +0.001777,88 +0.001788,88 +0.002044,88 +0.002014,88 +0.001786,88 +0.001942,88 +0.001800,88 +0.001764,88 +0.001819,88 +0.001800,88 +0.001826,88 +0.001763,88 +0.001832,88 +0.001832,88 +0.001867,88 +0.001826,88 +0.001783,88 +0.001833,88 +0.001755,88 +0.001767,88 +0.001849,88 +0.001800,88 +0.001838,88 +0.002000,88 +0.001914,88 +0.001889,88 +0.001822,88 +0.001900,88 +0.001868,88 +0.002045,90 +0.002083,90 +0.001996,90 +0.002012,90 +0.001956,90 +0.001960,90 +0.001994,90 +0.001975,90 +0.002229,90 +0.001996,90 +0.001926,90 +0.002033,90 +0.001940,90 +0.001917,90 +0.001934,90 +0.001913,90 +0.001920,90 +0.001983,90 +0.001978,90 +0.002018,90 +0.001928,90 +0.001949,90 +0.001948,90 +0.001969,90 +0.002095,90 +0.001965,90 +0.002043,90 +0.001930,90 +0.001987,90 +0.001946,90 +0.001935,90 +0.001928,90 +0.001970,90 +0.001996,90 +0.001952,90 +0.002076,90 +0.002171,90 +0.002512,90 +0.002524,90 +0.002317,90 +0.002413,90 +0.002428,90 +0.002173,90 +0.002052,90 +0.002012,90 +0.001995,90 +0.001990,90 +0.002001,90 +0.001979,90 +0.001961,90 +0.002068,90 +0.001985,90 +0.001988,90 +0.002031,90 +0.002024,90 +0.002012,90 +0.001985,90 +0.001977,90 +0.002043,90 +0.002001,90 +0.002052,90 +0.002040,90 +0.002011,90 +0.002026,90 +0.001964,90 +0.002007,90 +0.001987,90 +0.001951,90 +0.001966,90 +0.002065,90 +0.001977,90 +0.001908,90 +0.001914,90 +0.002070,90 +0.002188,90 +0.002242,90 +0.002210,90 +0.002093,90 +0.002013,90 +0.001985,90 +0.001969,90 +0.001980,90 +0.001984,90 +0.001978,90 +0.001962,90 +0.001997,90 +0.001951,90 +0.001964,90 +0.001948,90 +0.001950,90 +0.001944,90 +0.002016,90 +0.001914,90 +0.001957,90 +0.001954,90 +0.001952,90 +0.001933,90 +0.001929,90 +0.001929,90 +0.001955,90 +0.002176,92 +0.002076,92 +0.002074,92 +0.002073,92 +0.002086,92 +0.002072,92 +0.002070,92 +0.002071,92 +0.002150,92 +0.002102,92 +0.002085,92 +0.002072,92 +0.002090,92 +0.002103,92 +0.002081,92 +0.002080,92 +0.002178,92 +0.002117,92 +0.002096,92 +0.002074,92 +0.002081,92 +0.002049,92 +0.001983,92 +0.001978,92 +0.001988,92 +0.002048,92 +0.002083,92 +0.001966,92 +0.001939,92 +0.001905,92 +0.001938,92 +0.001905,92 +0.001998,92 +0.001988,92 +0.001990,92 +0.001956,92 +0.001944,92 +0.001905,92 +0.001940,92 +0.001905,92 +0.001931,92 +0.002051,92 +0.001932,92 +0.001916,92 +0.001945,92 +0.001934,92 +0.001905,92 +0.001934,92 +0.001905,92 +0.001959,92 +0.001905,92 +0.001956,92 +0.002195,92 +0.002039,92 +0.002183,92 +0.001987,92 +0.002163,92 +0.002143,92 +0.002184,92 +0.002212,92 +0.002241,92 +0.002146,92 +0.002183,92 +0.002171,92 +0.002169,92 +0.002408,92 +0.002204,92 +0.002163,92 +0.002097,92 +0.002111,92 +0.002057,92 +0.002114,92 +0.002097,92 +0.002273,92 +0.002191,92 +0.002150,92 +0.002058,92 +0.002047,92 +0.002057,92 +0.002034,92 +0.001942,92 +0.002168,92 +0.002163,92 +0.003191,92 +0.002162,92 +0.002106,92 +0.002028,92 +0.002057,92 +0.002162,92 +0.002098,92 +0.002227,92 +0.002239,92 +0.002172,92 +0.002044,92 +0.002031,92 +0.002021,92 +0.002299,92 +0.002519,92 +0.002628,92 +0.002104,92 +0.002270,94 +0.002232,94 +0.002239,94 +0.002805,94 +0.002718,94 +0.002506,94 +0.002880,94 +0.002652,94 +0.002438,94 +0.002516,94 +0.002958,94 +0.002180,94 +0.002139,94 +0.002145,94 +0.002162,94 +0.002192,94 +0.002308,94 +0.002193,94 +0.003367,94 +0.002772,94 +0.002902,94 +0.002238,94 +0.002120,94 +0.002267,94 +0.002291,94 +0.002955,94 +0.002548,94 +0.002764,94 +0.002785,94 +0.002638,94 +0.002414,94 +0.002271,94 +0.002242,94 +0.002232,94 +0.002199,94 +0.002193,94 +0.002248,94 +0.002287,94 +0.002269,94 +0.002258,94 +0.002242,94 +0.002174,94 +0.002188,94 +0.002180,94 +0.002209,94 +0.002219,94 +0.002284,94 +0.002228,94 +0.002259,94 +0.002227,94 +0.002286,94 +0.002191,94 +0.002205,94 +0.002281,94 +0.002241,94 +0.002187,94 +0.002224,94 +0.002170,94 +0.002151,94 +0.002234,94 +0.002278,94 +0.002294,94 +0.002267,94 +0.002179,94 +0.002405,94 +0.002226,94 +0.002247,94 +0.002268,94 +0.002221,94 +0.002960,94 +0.003003,94 +0.002788,94 +0.002929,94 +0.002821,94 +0.003428,94 +0.002702,94 +0.002226,94 +0.002220,94 +0.002311,94 +0.002193,94 +0.002503,94 +0.002530,94 +0.002313,94 +0.002327,94 +0.002228,94 +0.002315,94 +0.002801,94 +0.003093,94 +0.002355,94 +0.002123,94 +0.002102,94 +0.002036,94 +0.002268,94 +0.002291,94 +0.002212,94 +0.002548,94 +0.002096,94 +0.002070,94 +0.002223,94 +0.003631,94 +0.003131,96 +0.002345,96 +0.002444,96 +0.002200,96 +0.002164,96 +0.002201,96 +0.002165,96 +0.002459,96 +0.002256,96 +0.002386,96 +0.002270,96 +0.002165,96 +0.002200,96 +0.002165,96 +0.002303,96 +0.002474,96 +0.002570,96 +0.002492,96 +0.002222,96 +0.002253,96 +0.002445,96 +0.002405,96 +0.002374,96 +0.002388,96 +0.002320,96 +0.002348,96 +0.002412,96 +0.002335,96 +0.002826,96 +0.002458,96 +0.002369,96 +0.002287,96 +0.002271,96 +0.002221,96 +0.002232,96 +0.002600,96 +0.002674,96 +0.002477,96 +0.002204,96 +0.002200,96 +0.002249,96 +0.002207,96 +0.002188,96 +0.003085,96 +0.002353,96 +0.002224,96 +0.002199,96 +0.002165,96 +0.002200,96 +0.002524,96 +0.002687,96 +0.002478,96 +0.002204,96 +0.002224,96 +0.002204,96 +0.002476,96 +0.002659,96 +0.002713,96 +0.002460,96 +0.002290,96 +0.002394,96 +0.002247,96 +0.002490,96 +0.002873,96 +0.002604,96 +0.002406,96 +0.002254,96 +0.002250,96 +0.002389,96 +0.002253,96 +0.002941,96 +0.002625,96 +0.002418,96 +0.002181,96 +0.002247,96 +0.002221,96 +0.002249,96 +0.002854,96 +0.002349,96 +0.002397,96 +0.002164,96 +0.002199,96 +0.002287,96 +0.002282,96 +0.002452,96 +0.002915,96 +0.002363,96 +0.002283,96 +0.002221,96 +0.002247,96 +0.002222,96 +0.002580,96 +0.002344,96 +0.002385,96 +0.002205,96 +0.002164,96 +0.002200,96 +0.002164,96 +0.002477,96 +0.002228,96 +0.002862,98 +0.002740,98 +0.002681,98 +0.002558,98 +0.003056,98 +0.003342,98 +0.002864,98 +0.003272,98 +0.003514,98 +0.002586,98 +0.002846,98 +0.003309,98 +0.002700,98 +0.002704,98 +0.002443,98 +0.002605,98 +0.003502,98 +0.003117,98 +0.002557,98 +0.002528,98 +0.002538,98 +0.002366,98 +0.002391,98 +0.003854,98 +0.003106,98 +0.002539,98 +0.002463,98 +0.002305,98 +0.003020,98 +0.002789,98 +0.002425,98 +0.002469,98 +0.002396,98 +0.002366,98 +0.002765,98 +0.002778,98 +0.002635,98 +0.002610,98 +0.002480,98 +0.002392,98 +0.002396,98 +0.002714,98 +0.002756,98 +0.002841,98 +0.004154,98 +0.002943,98 +0.002630,98 +0.002467,98 +0.003615,98 +0.003165,98 +0.002790,98 +0.002379,98 +0.003336,98 +0.002897,98 +0.003019,98 +0.002448,98 +0.002841,98 +0.002532,98 +0.002560,98 +0.002856,98 +0.003478,98 +0.003149,98 +0.002553,98 +0.002413,98 +0.002631,98 +0.003139,98 +0.002597,98 +0.002427,98 +0.002502,98 +0.002393,98 +0.002618,98 +0.002441,98 +0.002753,98 +0.003863,98 +0.003689,98 +0.002348,98 +0.002846,98 +0.002731,98 +0.002495,98 +0.002508,98 +0.002396,98 +0.002401,98 +0.002703,98 +0.002545,98 +0.002685,98 +0.002514,98 +0.002346,98 +0.002623,98 +0.002410,98 +0.002921,98 +0.003268,98 +0.002623,98 +0.002346,98 +0.002697,98 +0.002615,98 +0.002521,98 +0.003498,98 +0.003344,98 +0.003301,98 +0.002581,98 +0.002742,100 +0.002698,100 +0.003454,100 +0.002797,100 +0.002585,100 +0.002507,100 +0.002585,100 +0.002588,100 +0.003374,100 +0.002645,100 +0.002527,100 +0.002447,100 +0.002799,100 +0.002665,100 +0.003417,100 +0.002694,100 +0.002484,100 +0.002548,100 +0.002658,100 +0.002574,100 +0.003506,100 +0.002723,100 +0.002596,100 +0.002688,100 +0.002624,100 +0.002649,100 +0.003460,100 +0.002747,100 +0.002662,100 +0.002631,100 +0.002617,100 +0.002584,100 +0.002649,100 +0.002590,100 +0.002796,100 +0.002484,100 +0.002778,100 +0.002643,100 +0.002649,100 +0.002754,100 +0.002555,100 +0.002564,100 +0.002531,100 +0.004300,100 +0.002859,100 +0.002562,100 +0.002571,100 +0.002561,100 +0.002549,100 +0.002654,100 +0.002806,100 +0.002635,100 +0.002647,100 +0.002842,100 +0.002732,100 +0.002691,100 +0.004549,100 +0.003644,100 +0.003237,100 +0.003062,100 +0.003510,100 +0.002940,100 +0.002762,100 +0.002677,100 +0.002640,100 +0.002693,100 +0.002635,100 +0.002778,100 +0.004505,100 +0.002998,100 +0.003058,100 +0.002824,100 +0.002817,100 +0.002728,100 +0.002627,100 +0.002649,100 +0.002588,100 +0.003822,100 +0.003904,100 +0.003254,100 +0.003074,100 +0.003190,100 +0.003889,100 +0.003142,100 +0.002844,100 +0.002776,100 +0.002816,100 +0.003645,100 +0.003645,100 +0.002665,100 +0.002592,100 +0.002575,100 +0.002658,100 +0.003486,100 +0.002725,100 +0.002622,100 +0.002620,100 +0.002645,100 +0.002613,100 +0.002580,100 +0.002724,102 +0.003303,102 +0.003048,102 +0.002780,102 +0.002951,102 +0.004601,102 +0.003367,102 +0.003190,102 +0.003475,102 +0.003924,102 +0.003630,102 +0.002814,102 +0.002834,102 +0.002798,102 +0.002829,102 +0.003342,102 +0.003120,102 +0.002870,102 +0.002729,102 +0.002820,102 +0.003945,102 +0.003139,102 +0.003297,102 +0.002713,102 +0.002807,102 +0.002903,102 +0.003155,102 +0.003056,102 +0.002928,102 +0.002823,102 +0.002892,102 +0.003179,102 +0.002805,102 +0.002963,102 +0.003007,102 +0.002791,102 +0.002833,102 +0.003276,102 +0.003000,102 +0.002734,102 +0.002885,102 +0.002941,102 +0.003071,102 +0.003235,102 +0.003131,102 +0.002980,102 +0.003010,102 +0.002969,102 +0.002932,102 +0.003002,102 +0.002888,102 +0.002757,102 +0.002811,102 +0.002874,102 +0.002963,102 +0.002898,102 +0.002741,102 +0.002809,102 +0.002712,102 +0.003060,102 +0.003273,102 +0.003245,102 +0.003031,102 +0.002997,102 +0.003172,102 +0.002861,102 +0.002823,102 +0.002939,102 +0.002998,102 +0.002820,102 +0.002794,102 +0.003012,102 +0.002913,102 +0.002679,102 +0.002762,102 +0.002738,102 +0.002825,102 +0.002687,102 +0.002860,102 +0.002803,102 +0.002834,102 +0.002665,102 +0.002883,102 +0.002636,102 +0.002978,102 +0.002732,102 +0.002656,102 +0.002633,102 +0.002697,102 +0.002831,102 +0.002744,102 +0.002656,102 +0.002900,102 +0.002691,102 +0.002800,102 +0.002862,102 +0.003009,102 +0.002916,102 +0.002882,102 +0.002770,102 +0.003104,104 +0.004950,104 +0.005103,104 +0.004573,104 +0.004026,104 +0.003457,104 +0.003062,104 +0.003048,104 +0.002974,104 +0.003241,104 +0.003673,104 +0.002939,104 +0.002939,104 +0.002946,104 +0.003087,104 +0.003103,104 +0.003060,104 +0.003008,104 +0.003019,104 +0.003130,104 +0.003015,104 +0.003053,104 +0.002991,104 +0.003000,104 +0.003002,104 +0.002993,104 +0.003105,104 +0.003042,104 +0.003033,104 +0.003031,104 +0.003215,104 +0.002948,104 +0.002988,104 +0.003126,104 +0.003376,104 +0.003281,104 +0.003323,104 +0.003151,104 +0.003025,104 +0.002992,104 +0.002998,104 +0.003124,104 +0.003087,104 +0.003148,104 +0.003070,104 +0.003095,104 +0.003224,104 +0.003072,104 +0.002990,104 +0.003106,104 +0.003007,104 +0.003000,104 +0.003089,104 +0.002909,104 +0.002937,104 +0.003134,104 +0.003013,104 +0.003071,104 +0.003501,104 +0.003272,104 +0.002931,104 +0.002971,104 +0.003224,104 +0.003673,104 +0.004977,104 +0.005140,104 +0.004520,104 +0.003520,104 +0.003634,104 +0.003674,104 +0.003072,104 +0.004450,104 +0.005067,104 +0.003972,104 +0.003040,104 +0.004208,104 +0.003163,104 +0.003146,104 +0.003114,104 +0.003184,104 +0.004320,104 +0.004138,104 +0.003283,104 +0.003101,104 +0.003353,104 +0.003452,104 +0.003375,104 +0.003198,104 +0.002984,104 +0.002996,104 +0.003103,104 +0.003065,104 +0.002990,104 +0.003533,104 +0.002977,104 +0.003177,104 +0.003234,104 +0.003008,104 +0.002749,104 +0.002798,104 +0.003047,106 +0.003276,106 +0.003251,106 +0.002976,106 +0.002943,106 +0.002945,106 +0.003244,106 +0.003172,106 +0.003055,106 +0.002941,106 +0.002908,106 +0.003125,106 +0.003282,106 +0.003298,106 +0.002979,106 +0.002907,106 +0.002947,106 +0.003287,106 +0.003200,106 +0.003031,106 +0.002942,106 +0.002940,106 +0.003263,106 +0.003190,106 +0.003135,106 +0.003207,106 +0.003102,106 +0.003048,106 +0.003238,106 +0.004084,106 +0.003262,106 +0.002951,106 +0.003074,106 +0.003253,106 +0.003276,106 +0.002987,106 +0.002948,106 +0.002943,106 +0.003273,106 +0.003223,106 +0.003069,106 +0.002946,106 +0.002907,106 +0.003239,106 +0.003170,106 +0.003175,106 +0.002966,106 +0.002907,106 +0.002944,106 +0.003637,106 +0.003381,106 +0.003021,106 +0.002907,106 +0.002945,106 +0.003403,106 +0.003164,106 +0.003231,106 +0.003006,106 +0.003251,106 +0.003278,106 +0.003057,106 +0.003331,106 +0.003197,106 +0.003204,106 +0.003135,106 +0.003388,106 +0.003199,106 +0.003293,106 +0.003074,106 +0.003239,106 +0.003718,106 +0.003302,106 +0.003199,106 +0.003224,106 +0.003473,106 +0.004491,106 +0.003305,106 +0.002990,106 +0.003136,106 +0.003739,106 +0.003203,106 +0.003375,106 +0.003028,106 +0.003151,106 +0.003945,106 +0.003031,106 +0.003347,106 +0.003095,106 +0.003152,106 +0.003090,106 +0.003259,106 +0.003189,106 +0.002980,106 +0.002939,106 +0.002946,106 +0.003175,106 +0.003065,106 +0.003058,106 +0.002943,106 +0.002907,106 +0.003187,108 +0.003114,108 +0.003144,108 +0.003167,108 +0.003105,108 +0.003137,108 +0.003077,108 +0.003091,108 +0.003151,108 +0.003082,108 +0.003082,108 +0.003137,108 +0.003076,108 +0.003128,108 +0.003080,108 +0.003082,108 +0.003117,108 +0.003076,108 +0.003171,108 +0.003267,108 +0.003295,108 +0.003273,108 +0.003076,108 +0.003203,108 +0.003136,108 +0.003176,108 +0.003111,108 +0.003154,108 +0.003122,108 +0.003130,108 +0.003084,108 +0.003076,108 +0.003118,108 +0.003448,108 +0.003253,108 +0.003176,108 +0.003076,108 +0.003272,108 +0.003213,108 +0.003440,108 +0.003461,108 +0.003272,108 +0.003390,108 +0.003595,108 +0.003716,108 +0.003763,108 +0.003569,108 +0.003491,108 +0.004074,108 +0.004008,108 +0.003675,108 +0.003863,108 +0.004063,108 +0.004119,108 +0.003293,108 +0.003363,108 +0.003859,108 +0.004069,108 +0.003520,108 +0.003406,108 +0.003918,108 +0.003379,108 +0.003471,108 +0.003419,108 +0.003413,108 +0.003456,108 +0.003645,108 +0.003479,108 +0.003432,108 +0.003446,108 +0.003743,108 +0.003456,108 +0.003485,108 +0.003335,108 +0.003717,108 +0.003818,108 +0.004702,108 +0.003204,108 +0.003619,108 +0.004511,108 +0.003444,108 +0.003417,108 +0.003457,108 +0.003391,108 +0.004317,108 +0.003866,108 +0.003940,108 +0.004001,108 +0.004094,108 +0.003464,108 +0.003306,108 +0.003358,108 +0.004539,108 +0.003901,108 +0.003670,108 +0.003260,108 +0.003190,108 +0.003597,108 +0.003501,108 +0.003408,108 +0.003429,110 +0.003429,110 +0.003797,110 +0.004116,110 +0.004120,110 +0.003768,110 +0.004135,110 +0.003665,110 +0.003478,110 +0.003370,110 +0.003650,110 +0.003790,110 +0.003530,110 +0.003283,110 +0.003287,110 +0.003979,110 +0.003637,110 +0.003364,110 +0.003284,110 +0.003276,110 +0.003956,110 +0.003654,110 +0.003303,110 +0.003277,110 +0.003401,110 +0.003906,110 +0.003552,110 +0.003310,110 +0.003291,110 +0.003906,110 +0.003494,110 +0.004124,110 +0.004018,110 +0.003607,110 +0.004405,110 +0.003534,110 +0.003367,110 +0.003302,110 +0.004091,110 +0.003674,110 +0.003433,110 +0.003281,110 +0.003282,110 +0.004209,110 +0.004076,110 +0.003343,110 +0.003248,110 +0.003524,110 +0.004683,110 +0.003419,110 +0.003310,110 +0.003274,110 +0.003638,110 +0.004112,110 +0.003305,110 +0.003293,110 +0.003420,110 +0.004203,110 +0.003878,110 +0.003977,110 +0.003768,110 +0.004266,110 +0.003622,110 +0.003306,110 +0.003291,110 +0.003711,110 +0.004202,110 +0.003488,110 +0.003287,110 +0.003288,110 +0.004122,110 +0.003463,110 +0.003373,110 +0.003309,110 +0.003280,110 +0.003765,110 +0.003592,110 +0.003307,110 +0.003268,110 +0.003380,110 +0.003534,110 +0.003634,110 +0.003308,110 +0.003291,110 +0.003403,110 +0.003537,110 +0.003463,110 +0.004221,110 +0.003886,110 +0.003534,110 +0.003454,110 +0.003349,110 +0.003297,110 +0.003337,110 +0.003307,110 +0.003330,110 +0.003333,110 +0.003292,110 +0.003253,110 +0.003314,110 +0.003456,112 +0.003488,112 +0.003424,112 +0.003424,112 +0.003485,112 +0.003424,112 +0.003509,112 +0.003465,112 +0.003487,112 +0.003426,112 +0.003655,112 +0.003506,112 +0.003448,112 +0.003691,112 +0.003444,112 +0.003525,112 +0.004253,112 +0.004014,112 +0.003595,112 +0.003568,112 +0.003467,112 +0.003682,112 +0.003663,112 +0.003452,112 +0.003849,112 +0.003829,112 +0.003802,112 +0.004047,112 +0.003946,112 +0.003842,112 +0.003872,112 +0.003809,112 +0.003732,112 +0.003750,112 +0.003766,112 +0.003737,112 +0.003740,112 +0.003876,112 +0.003732,112 +0.003700,112 +0.004181,112 +0.004431,112 +0.004791,112 +0.004435,112 +0.004282,112 +0.004833,112 +0.003635,112 +0.003641,112 +0.004416,112 +0.004212,112 +0.003849,112 +0.003800,112 +0.004405,112 +0.004508,112 +0.003790,112 +0.003760,112 +0.004236,112 +0.004309,112 +0.004036,112 +0.004067,112 +0.004138,112 +0.004338,112 +0.003998,112 +0.003950,112 +0.004470,112 +0.004087,112 +0.003750,112 +0.003674,112 +0.004195,112 +0.003909,112 +0.003730,112 +0.003789,112 +0.003871,112 +0.004001,112 +0.003885,112 +0.003800,112 +0.003805,112 +0.003705,112 +0.003966,112 +0.003826,112 +0.003758,112 +0.004308,112 +0.004099,112 +0.003878,112 +0.003669,112 +0.004048,112 +0.003747,112 +0.004013,112 +0.003836,112 +0.004167,112 +0.004281,112 +0.003775,112 +0.003679,112 +0.003618,112 +0.004103,112 +0.004505,112 +0.003802,112 +0.003920,112 +0.004098,112 +0.003758,112 +0.004096,114 +0.004092,114 +0.004524,114 +0.003986,114 +0.004240,114 +0.004373,114 +0.004719,114 +0.004651,114 +0.004453,114 +0.004648,114 +0.004415,114 +0.004713,114 +0.004440,114 +0.004585,114 +0.004241,114 +0.003937,114 +0.003874,114 +0.004223,114 +0.004237,114 +0.004248,114 +0.003954,114 +0.004599,114 +0.003933,114 +0.004173,114 +0.003968,114 +0.004382,114 +0.004115,114 +0.004127,114 +0.004023,114 +0.004088,114 +0.004349,114 +0.004448,114 +0.004103,114 +0.004327,114 +0.004140,114 +0.004051,114 +0.004106,114 +0.004270,114 +0.004178,114 +0.004092,114 +0.004039,114 +0.003899,114 +0.004260,114 +0.004283,114 +0.004056,114 +0.004069,114 +0.004379,114 +0.004036,114 +0.004061,114 +0.004247,114 +0.003940,114 +0.004357,114 +0.004266,114 +0.004872,114 +0.004120,114 +0.004111,114 +0.004133,114 +0.004764,114 +0.004693,114 +0.004351,114 +0.004444,114 +0.004386,114 +0.004131,114 +0.004052,114 +0.003993,114 +0.004490,114 +0.004194,114 +0.004035,114 +0.004154,114 +0.004109,114 +0.004098,114 +0.004010,114 +0.004149,114 +0.004626,114 +0.004505,114 +0.003911,114 +0.004349,114 +0.004280,114 +0.004227,114 +0.003865,114 +0.004203,114 +0.004726,114 +0.004246,114 +0.004057,114 +0.004151,114 +0.004506,114 +0.004091,114 +0.004129,114 +0.003975,114 +0.004005,114 +0.004205,114 +0.004115,114 +0.004046,114 +0.004115,114 +0.004059,114 +0.003898,114 +0.003900,114 +0.004033,114 +0.003874,114 +0.003878,114 +0.004165,116 +0.004023,116 +0.003963,116 +0.003937,116 +0.003927,116 +0.003950,116 +0.004177,116 +0.003951,116 +0.003834,116 +0.003977,116 +0.003862,116 +0.003893,116 +0.003824,116 +0.003883,116 +0.004006,116 +0.004065,116 +0.003836,116 +0.003913,116 +0.003836,116 +0.003851,116 +0.003851,116 +0.003833,116 +0.003878,116 +0.003807,116 +0.003856,116 +0.003801,116 +0.003897,116 +0.003805,116 +0.003903,116 +0.003825,116 +0.003925,116 +0.003808,116 +0.003824,116 +0.003827,116 +0.003812,116 +0.003879,116 +0.003935,116 +0.003904,116 +0.003808,116 +0.003932,116 +0.003906,116 +0.004212,116 +0.003857,116 +0.004047,116 +0.003861,116 +0.003930,116 +0.003859,116 +0.003830,116 +0.003823,116 +0.003885,116 +0.003844,116 +0.003812,116 +0.003804,116 +0.003832,116 +0.003877,116 +0.003803,116 +0.003807,116 +0.003801,116 +0.003831,116 +0.003943,116 +0.003805,116 +0.003826,116 +0.003802,116 +0.003859,116 +0.003803,116 +0.003913,116 +0.003920,116 +0.004088,116 +0.003964,116 +0.003828,116 +0.003826,116 +0.003879,116 +0.003828,116 +0.003809,116 +0.003812,116 +0.003832,116 +0.003845,116 +0.003829,116 +0.003806,116 +0.003802,116 +0.003875,116 +0.003803,116 +0.003804,116 +0.003800,116 +0.003830,116 +0.003849,116 +0.003802,116 +0.003805,116 +0.003802,116 +0.003875,116 +0.003802,116 +0.003932,116 +0.003888,116 +0.004108,116 +0.003871,116 +0.003825,116 +0.003979,116 +0.003924,116 +0.003832,116 +0.003967,116 +0.004099,118 +0.004075,118 +0.004074,118 +0.004004,118 +0.004010,118 +0.004033,118 +0.004051,118 +0.004004,118 +0.004004,118 +0.004007,118 +0.004094,118 +0.004050,118 +0.004003,118 +0.004006,118 +0.004077,118 +0.004006,118 +0.004087,118 +0.004210,118 +0.004358,118 +0.004105,118 +0.004024,118 +0.004011,118 +0.004085,118 +0.004140,118 +0.004008,118 +0.004016,118 +0.004140,118 +0.004010,118 +0.004005,118 +0.004004,118 +0.004075,118 +0.004006,118 +0.004006,118 +0.004004,118 +0.004124,118 +0.004004,118 +0.004149,118 +0.004055,118 +0.004022,118 +0.004042,118 +0.004037,118 +0.004253,118 +0.004472,118 +0.004140,118 +0.004036,118 +0.004067,118 +0.004177,118 +0.004095,118 +0.004128,118 +0.004145,118 +0.004078,118 +0.004070,118 +0.004007,118 +0.004009,118 +0.004034,118 +0.004069,118 +0.004007,118 +0.004009,118 +0.004007,118 +0.004071,118 +0.004006,118 +0.004003,118 +0.004006,118 +0.004093,118 +0.004039,118 +0.004071,118 +0.004192,118 +0.004376,118 +0.004032,118 +0.004024,118 +0.004029,118 +0.004094,118 +0.004011,118 +0.004007,118 +0.004009,118 +0.004075,118 +0.004004,118 +0.004006,118 +0.004004,118 +0.004078,118 +0.004024,118 +0.004006,118 +0.004003,118 +0.004033,118 +0.004112,118 +0.004038,118 +0.004023,118 +0.004035,118 +0.004048,118 +0.004004,118 +0.004159,118 +0.004318,118 +0.004226,118 +0.004037,118 +0.004078,118 +0.004100,118 +0.004078,118 +0.004041,118 +0.004005,118 +0.004013,118 +0.004287,120 +0.004207,120 +0.004205,120 +0.004205,120 +0.004275,120 +0.004208,120 +0.004204,120 +0.004206,120 +0.004272,120 +0.004207,120 +0.004204,120 +0.004236,120 +0.004244,120 +0.004211,120 +0.004343,120 +0.004570,120 +0.004448,120 +0.004240,120 +0.004242,120 +0.004260,120 +0.004269,120 +0.004209,120 +0.004207,120 +0.004272,120 +0.004207,120 +0.004203,120 +0.004206,120 +0.004277,120 +0.004204,120 +0.004205,120 +0.004203,120 +0.004275,120 +0.004203,120 +0.004205,120 +0.004223,120 +0.004274,120 +0.004203,120 +0.004205,120 +0.004403,120 +0.004593,120 +0.004256,120 +0.004269,120 +0.004335,120 +0.004336,120 +0.004315,120 +0.004269,120 +0.004230,120 +0.004365,120 +0.004229,120 +0.004224,120 +0.004224,120 +0.004274,120 +0.004204,120 +0.004206,120 +0.004233,120 +0.004246,120 +0.004391,120 +0.004207,120 +0.004236,120 +0.004243,120 +0.004206,120 +0.004343,120 +0.004532,120 +0.004434,120 +0.004247,120 +0.004307,120 +0.004299,120 +0.004225,120 +0.004233,120 +0.004225,120 +0.004294,120 +0.004319,120 +0.004244,120 +0.004232,120 +0.004317,120 +0.004256,120 +0.004245,120 +0.004250,120 +0.004315,120 +0.004206,120 +0.004204,120 +0.004205,120 +0.004273,120 +0.004206,120 +0.004238,120 +0.004449,120 +0.004641,120 +0.004204,120 +0.004205,120 +0.004224,120 +0.004247,120 +0.004204,120 +0.004205,120 +0.004233,120 +0.004265,120 +0.004204,120 +0.004205,120 +0.004231,120 +0.004290,120 +0.004203,120 +0.004448,122 +0.004493,122 +0.004564,122 +0.004424,122 +0.004419,122 +0.004477,122 +0.004420,122 +0.004419,122 +0.004614,122 +0.004852,122 +0.004420,122 +0.004643,122 +0.004469,122 +0.004523,122 +0.004598,122 +0.004456,122 +0.004554,122 +0.004446,122 +0.004423,122 +0.004419,122 +0.004492,122 +0.004420,122 +0.004420,122 +0.004452,122 +0.004460,122 +0.004424,122 +0.004421,122 +0.004471,122 +0.004488,122 +0.004445,122 +0.004588,122 +0.004816,122 +0.004674,122 +0.004440,122 +0.004448,122 +0.004523,122 +0.004466,122 +0.004424,122 +0.004470,122 +0.004481,122 +0.004423,122 +0.004464,122 +0.004488,122 +0.004422,122 +0.004427,122 +0.004422,122 +0.004530,122 +0.004423,122 +0.004420,122 +0.004422,122 +0.004537,122 +0.004419,122 +0.004470,122 +0.004943,122 +0.004728,122 +0.004450,122 +0.004420,122 +0.004705,122 +0.004813,122 +0.004763,122 +0.004560,122 +0.004446,122 +0.004525,122 +0.004445,122 +0.004512,122 +0.004572,122 +0.004654,122 +0.004420,122 +0.004476,122 +0.004561,122 +0.004623,122 +0.004454,122 +0.004489,122 +0.004460,122 +0.004494,122 +0.004738,122 +0.004682,122 +0.004465,122 +0.004475,122 +0.004489,122 +0.004479,122 +0.004420,122 +0.004420,122 +0.004477,122 +0.004420,122 +0.004442,122 +0.004431,122 +0.004486,122 +0.004441,122 +0.004464,122 +0.004468,122 +0.004420,122 +0.004422,122 +0.004419,122 +0.004512,122 +0.004420,122 +0.004425,122 +0.004646,122 +0.004711,122 +0.004576,122 +0.004711,124 +0.004750,124 +0.004739,124 +0.004677,124 +0.004678,124 +0.004712,124 +0.004638,124 +0.004635,124 +0.004690,124 +0.004638,124 +0.004636,124 +0.004637,124 +0.004684,124 +0.004695,124 +0.004646,124 +0.004648,124 +0.004681,124 +0.004635,124 +0.004683,124 +0.004996,124 +0.004826,124 +0.004724,124 +0.004688,124 +0.004707,124 +0.004640,124 +0.004642,124 +0.004685,124 +0.004681,124 +0.004666,124 +0.004638,124 +0.004685,124 +0.004640,124 +0.004692,124 +0.004689,124 +0.004635,124 +0.004641,124 +0.004636,124 +0.004689,124 +0.004661,124 +0.004636,124 +0.004882,124 +0.004919,124 +0.004701,124 +0.004638,124 +0.004705,124 +0.004638,124 +0.004636,124 +0.004647,124 +0.004680,124 +0.004636,124 +0.005736,124 +0.004788,124 +0.004636,124 +0.004643,124 +0.004678,124 +0.004667,124 +0.004638,124 +0.004635,124 +0.004687,124 +0.004641,124 +0.004636,124 +0.004925,124 +0.005010,124 +0.004684,124 +0.004679,124 +0.004749,124 +0.004758,124 +0.004657,124 +0.004758,124 +0.004704,124 +0.004636,124 +0.004638,124 +0.004706,124 +0.004639,124 +0.004636,124 +0.004667,124 +0.004699,124 +0.004636,124 +0.004670,124 +0.004706,124 +0.004659,124 +0.004635,124 +0.004787,124 +0.005047,124 +0.004857,124 +0.004656,124 +0.004749,124 +0.004659,124 +0.004636,124 +0.004662,124 +0.004766,124 +0.004687,124 +0.004664,124 +0.004730,124 +0.004661,124 +0.004636,124 +0.004642,124 +0.004704,124 +0.004640,124 +0.004638,124 +0.004915,126 +0.004906,126 +0.004864,126 +0.004917,126 +0.005215,126 +0.005071,126 +0.004884,126 +0.005222,126 +0.004990,126 +0.005259,126 +0.005390,126 +0.005463,126 +0.005577,126 +0.005841,126 +0.005507,126 +0.005470,126 +0.005750,126 +0.007375,126 +0.006174,126 +0.006265,126 +0.005507,126 +0.005868,126 +0.009030,126 +0.007537,126 +0.007350,126 +0.005591,126 +0.005574,126 +0.007123,126 +0.005460,126 +0.005456,126 +0.007157,126 +0.005286,126 +0.005380,126 +0.006827,126 +0.005305,126 +0.005246,126 +0.006802,126 +0.005030,126 +0.008349,126 +0.008952,126 +0.004990,126 +0.004984,126 +0.004962,126 +0.004979,126 +0.005130,126 +0.004950,126 +0.005002,126 +0.004897,126 +0.004938,126 +0.004991,126 +0.004948,126 +0.005013,126 +0.004889,126 +0.004946,126 +0.004927,126 +0.004868,126 +0.006621,126 +0.008387,126 +0.004923,126 +0.004954,126 +0.004954,126 +0.004868,126 +0.005026,126 +0.004867,126 +0.004864,126 +0.004906,126 +0.004905,126 +0.004864,126 +0.004866,126 +0.004947,126 +0.004884,126 +0.004866,126 +0.004942,126 +0.004866,126 +0.004867,126 +0.005186,126 +0.008795,126 +0.005915,126 +0.004976,126 +0.004869,126 +0.004885,126 +0.004933,126 +0.004925,126 +0.004887,126 +0.004868,126 +0.004964,126 +0.004888,126 +0.004887,126 +0.004947,126 +0.004867,126 +0.004949,126 +0.004907,126 +0.004930,126 +0.004866,126 +0.004866,126 +0.007738,126 +0.007211,126 +0.004975,126 +0.004872,126 +0.004864,126 +0.005386,128 +0.005457,128 +0.005374,128 +0.005376,128 +0.005440,128 +0.005372,128 +0.005418,128 +0.005458,128 +0.005413,128 +0.005375,128 +0.005435,128 +0.005372,128 +0.005376,128 +0.007662,128 +0.008165,128 +0.005499,128 +0.005405,128 +0.005429,128 +0.005458,128 +0.005401,128 +0.005376,128 +0.005431,128 +0.005375,128 +0.005376,128 +0.005431,128 +0.005375,128 +0.005376,128 +0.005392,128 +0.005415,128 +0.005377,128 +0.005393,128 +0.008756,128 +0.007322,128 +0.005482,128 +0.005442,128 +0.005407,128 +0.005487,128 +0.005377,128 +0.005396,128 +0.005436,128 +0.005373,128 +0.005375,128 +0.005435,128 +0.005373,128 +0.005418,128 +0.005435,128 +0.005373,128 +0.005376,128 +0.006360,128 +0.009397,128 +0.005654,128 +0.005469,128 +0.005642,128 +0.005554,128 +0.005407,128 +0.005405,128 +0.005435,128 +0.005401,128 +0.005411,128 +0.005434,128 +0.005408,128 +0.005464,128 +0.005396,128 +0.005417,128 +0.005377,128 +0.005395,128 +0.008415,128 +0.007413,128 +0.005487,128 +0.005378,128 +0.005376,128 +0.005459,128 +0.005373,128 +0.005375,128 +0.005466,128 +0.005374,128 +0.005660,128 +0.006978,128 +0.005549,128 +0.005383,128 +0.005587,128 +0.006194,128 +0.005526,128 +0.008246,128 +0.008427,128 +0.005702,128 +0.005406,128 +0.005692,128 +0.005657,128 +0.005604,128 +0.005617,128 +0.005458,128 +0.005567,128 +0.005881,128 +0.005510,128 +0.005733,128 +0.005493,128 +0.005481,128 +0.005583,128 +0.005448,128 +0.007634,130 +0.008371,130 +0.005475,130 +0.005438,130 +0.005381,130 +0.005505,130 +0.005396,130 +0.005344,130 +0.005421,130 +0.005375,130 +0.005337,130 +0.005420,130 +0.005397,130 +0.005339,130 +0.005418,130 +0.005390,130 +0.005344,130 +0.005521,130 +0.007434,130 +0.008883,130 +0.005438,130 +0.005415,130 +0.005448,130 +0.005405,130 +0.005400,130 +0.005437,130 +0.005424,130 +0.005340,130 +0.005439,130 +0.005372,130 +0.005340,130 +0.005378,130 +0.005383,130 +0.005380,130 +0.005378,130 +0.006334,130 +0.009437,130 +0.005541,130 +0.005377,130 +0.005616,130 +0.005437,130 +0.005339,130 +0.005600,130 +0.005439,130 +0.005337,130 +0.005339,130 +0.005459,130 +0.005337,130 +0.005339,130 +0.005439,130 +0.005337,130 +0.005341,130 +0.005442,130 +0.007503,130 +0.008373,130 +0.005348,130 +0.005343,130 +0.005455,130 +0.005339,130 +0.005364,130 +0.005397,130 +0.005379,130 +0.005341,130 +0.005378,130 +0.005380,130 +0.005342,130 +0.005357,130 +0.005421,130 +0.005341,130 +0.005337,130 +0.005517,130 +0.008094,130 +0.007734,130 +0.005471,130 +0.006000,130 +0.006253,130 +0.005450,130 +0.005444,130 +0.005474,130 +0.005337,130 +0.005420,130 +0.005439,130 +0.005398,130 +0.005341,130 +0.005421,130 +0.005338,130 +0.005342,130 +0.005425,130 +0.006189,130 +0.009636,130 +0.005515,130 +0.005400,130 +0.005429,130 +0.005374,130 +0.005482,130 +0.005847,130 +0.005396,130 +0.005360,130 +0.005418,130 +0.005342,130 +0.005615,132 +0.005666,132 +0.005921,132 +0.005611,132 +0.005735,132 +0.005710,132 +0.010125,132 +0.006354,132 +0.005653,132 +0.005672,132 +0.005607,132 +0.005646,132 +0.005715,132 +0.006172,132 +0.006019,132 +0.005687,132 +0.005589,132 +0.005627,132 +0.005667,132 +0.005585,132 +0.005590,132 +0.005691,132 +0.007254,132 +0.009219,132 +0.005691,132 +0.005624,132 +0.005865,132 +0.005591,132 +0.005606,132 +0.005692,132 +0.005588,132 +0.005589,132 +0.005665,132 +0.005587,132 +0.005611,132 +0.005685,132 +0.005606,132 +0.005592,132 +0.005745,132 +0.007300,132 +0.009084,132 +0.005619,132 +0.005597,132 +0.005708,132 +0.005624,132 +0.005675,132 +0.005747,132 +0.005725,132 +0.005683,132 +0.005650,132 +0.005598,132 +0.005613,132 +0.005687,132 +0.005588,132 +0.005605,132 +0.005759,132 +0.007564,132 +0.008772,132 +0.005623,132 +0.005671,132 +0.005660,132 +0.005645,132 +0.005625,132 +0.005628,132 +0.005589,132 +0.005606,132 +0.005635,132 +0.005744,132 +0.005645,132 +0.005590,132 +0.005586,132 +0.005669,132 +0.005738,132 +0.007667,132 +0.008944,132 +0.005686,132 +0.005690,132 +0.006929,132 +0.010806,132 +0.010826,132 +0.010964,132 +0.010989,132 +0.010404,132 +0.008319,132 +0.005731,132 +0.008331,132 +0.008752,132 +0.005674,132 +0.005879,132 +0.005639,132 +0.005672,132 +0.005971,132 +0.005622,132 +0.005645,132 +0.005624,132 +0.005586,132 +0.005622,132 +0.005624,132 +0.005585,132 +0.005644,132 +0.005968,134 +0.006600,134 +0.010243,134 +0.005955,134 +0.006033,134 +0.005905,134 +0.005864,134 +0.005923,134 +0.005841,134 +0.005846,134 +0.005925,134 +0.005844,134 +0.005881,134 +0.005923,134 +0.005842,134 +0.005863,134 +0.005983,134 +0.006247,134 +0.010562,134 +0.006022,134 +0.005924,134 +0.005888,134 +0.005843,134 +0.005924,134 +0.005841,134 +0.005843,134 +0.005926,134 +0.005840,134 +0.005844,134 +0.005922,134 +0.005846,134 +0.005840,134 +0.005944,134 +0.005923,134 +0.009654,134 +0.007257,134 +0.005909,134 +0.005901,134 +0.005865,134 +0.005921,134 +0.005845,134 +0.005841,134 +0.005926,134 +0.005883,134 +0.005865,134 +0.005927,134 +0.005846,134 +0.005843,134 +0.005923,134 +0.005908,134 +0.008324,134 +0.008524,134 +0.005931,134 +0.005912,134 +0.005887,134 +0.006011,134 +0.005851,134 +0.005841,134 +0.005926,134 +0.005842,134 +0.005844,134 +0.005920,134 +0.005845,134 +0.005842,134 +0.005939,134 +0.005904,134 +0.007211,134 +0.009723,134 +0.005917,134 +0.005949,134 +0.005866,134 +0.005883,134 +0.005884,134 +0.005840,134 +0.005925,134 +0.005842,134 +0.005845,134 +0.005928,134 +0.005843,134 +0.005844,134 +0.005949,134 +0.005903,134 +0.005978,134 +0.010587,134 +0.006265,134 +0.005974,134 +0.005847,134 +0.005888,134 +0.005879,134 +0.005845,134 +0.005881,134 +0.005883,134 +0.005842,134 +0.005926,134 +0.005844,134 +0.005844,134 +0.005926,134 +0.005949,134 +0.005843,134 +0.009580,134 +0.007544,136 +0.006259,136 +0.006137,136 +0.006177,136 +0.006148,136 +0.006099,136 +0.006257,136 +0.006103,136 +0.006102,136 +0.006180,136 +0.006124,136 +0.006101,136 +0.006234,136 +0.006189,136 +0.007276,136 +0.010162,136 +0.006208,136 +0.006129,136 +0.006098,136 +0.006184,136 +0.006101,136 +0.006133,136 +0.006182,136 +0.006138,136 +0.006145,136 +0.006140,136 +0.006122,136 +0.006238,136 +0.006165,136 +0.006100,136 +0.009424,136 +0.007949,136 +0.006220,136 +0.006165,136 +0.006179,136 +0.006205,136 +0.006099,136 +0.006204,136 +0.006101,136 +0.006102,136 +0.006177,136 +0.006145,136 +0.006163,136 +0.006159,136 +0.006162,136 +0.006208,136 +0.010491,136 +0.007331,136 +0.006136,136 +0.006138,136 +0.006207,136 +0.006110,136 +0.006183,136 +0.006164,136 +0.006098,136 +0.006185,136 +0.006101,136 +0.006102,136 +0.006207,136 +0.006182,136 +0.006102,136 +0.009914,136 +0.007608,136 +0.006170,136 +0.006119,136 +0.006205,136 +0.006101,136 +0.006102,136 +0.006182,136 +0.006102,136 +0.006121,136 +0.006210,136 +0.006097,136 +0.006181,136 +0.006171,136 +0.006104,136 +0.007201,136 +0.010121,136 +0.006260,136 +0.006129,136 +0.006142,136 +0.006253,136 +0.006098,136 +0.006221,136 +0.006100,136 +0.006102,136 +0.006218,136 +0.006102,136 +0.006113,136 +0.006188,136 +0.006159,136 +0.006146,136 +0.009205,136 +0.008398,136 +0.006163,136 +0.006129,136 +0.006238,136 +0.006110,136 +0.006101,136 +0.006184,136 +0.006475,138 +0.006483,138 +0.006375,138 +0.006380,138 +0.006462,138 +0.006437,138 +0.006422,138 +0.008880,138 +0.009047,138 +0.006436,138 +0.006377,138 +0.006463,138 +0.006380,138 +0.006415,138 +0.006424,138 +0.006379,138 +0.006465,138 +0.006380,138 +0.006375,138 +0.006458,138 +0.006482,138 +0.006478,138 +0.009612,138 +0.008407,138 +0.006416,138 +0.006408,138 +0.006474,138 +0.006380,138 +0.006463,138 +0.006381,138 +0.006463,138 +0.006476,138 +0.006379,138 +0.006420,138 +0.006414,138 +0.006450,138 +0.006463,138 +0.010245,138 +0.007760,138 +0.006435,138 +0.006458,138 +0.006458,138 +0.006388,138 +0.006456,138 +0.006402,138 +0.006378,138 +0.006481,138 +0.006399,138 +0.006458,138 +0.006480,138 +0.006398,138 +0.006459,138 +0.010950,138 +0.006932,138 +0.006438,138 +0.006532,138 +0.006417,138 +0.006415,138 +0.006459,138 +0.006376,138 +0.006423,138 +0.006416,138 +0.006381,138 +0.006499,138 +0.006475,138 +0.006380,138 +0.006794,138 +0.011207,138 +0.006485,138 +0.006396,138 +0.006503,138 +0.006445,138 +0.006410,138 +0.006490,138 +0.006439,138 +0.006463,138 +0.006386,138 +0.006378,138 +0.006462,138 +0.006463,138 +0.006458,138 +0.007488,138 +0.010416,138 +0.006409,138 +0.006401,138 +0.006456,138 +0.006436,138 +0.006480,138 +0.006379,138 +0.006380,138 +0.006474,138 +0.006375,138 +0.006423,138 +0.006417,138 +0.006450,138 +0.006461,138 +0.007113,138 +0.011225,138 +0.006471,138 +0.006478,138 +0.006769,140 +0.006656,140 +0.006753,140 +0.006655,140 +0.006738,140 +0.006691,140 +0.006655,140 +0.006737,140 +0.006713,140 +0.006737,140 +0.006694,140 +0.011793,140 +0.006709,140 +0.006807,140 +0.006790,140 +0.006687,140 +0.006729,140 +0.006655,140 +0.006696,140 +0.006692,140 +0.006655,140 +0.006736,140 +0.006710,140 +0.006765,140 +0.006694,140 +0.010488,140 +0.008057,140 +0.006740,140 +0.006800,140 +0.006695,140 +0.006780,140 +0.006676,140 +0.006678,140 +0.006751,140 +0.006655,140 +0.006747,140 +0.006761,140 +0.006656,140 +0.006732,140 +0.009127,140 +0.009353,140 +0.006724,140 +0.006806,140 +0.006677,140 +0.006760,140 +0.006654,140 +0.006715,140 +0.006734,140 +0.006651,140 +0.006733,140 +0.006684,140 +0.006766,140 +0.006730,140 +0.007838,140 +0.010583,140 +0.006669,140 +0.006790,140 +0.006676,140 +0.006704,140 +0.006691,140 +0.006655,140 +0.006734,140 +0.006676,140 +0.006805,140 +0.006760,140 +0.006711,140 +0.006734,140 +0.006655,140 +0.011768,140 +0.006691,140 +0.006817,140 +0.006717,140 +0.006691,140 +0.006778,140 +0.006655,140 +0.006731,140 +0.006655,140 +0.006719,140 +0.006782,140 +0.006765,140 +0.006796,140 +0.006700,140 +0.010922,140 +0.007698,140 +0.006781,140 +0.006674,140 +0.006694,140 +0.006740,140 +0.006651,140 +0.006738,140 +0.006656,140 +0.006655,140 +0.006736,140 +0.006822,140 +0.006776,140 +0.006673,140 +0.009524,140 +0.008979,140 +0.006754,140 +0.006715,140 +0.007035,142 +0.007048,142 +0.006946,142 +0.007020,142 +0.007048,142 +0.007000,142 +0.007080,142 +0.007065,142 +0.007026,142 +0.006946,142 +0.011171,142 +0.007917,142 +0.007063,142 +0.007218,142 +0.007036,142 +0.006964,142 +0.007092,142 +0.007063,142 +0.008122,142 +0.007109,142 +0.007142,142 +0.007097,142 +0.006951,142 +0.008729,142 +0.010398,142 +0.007144,142 +0.007088,142 +0.006942,142 +0.007028,142 +0.006949,142 +0.007069,142 +0.007492,142 +0.007120,142 +0.007258,142 +0.007069,142 +0.007050,142 +0.006944,142 +0.010432,142 +0.009191,142 +0.007110,142 +0.007057,142 +0.007094,142 +0.006976,142 +0.007043,142 +0.006947,142 +0.006946,142 +0.007023,142 +0.007052,142 +0.007024,142 +0.006946,142 +0.008870,142 +0.010285,142 +0.007081,142 +0.006970,142 +0.007068,142 +0.007010,142 +0.007010,142 +0.007087,142 +0.006966,142 +0.007024,142 +0.006985,142 +0.007014,142 +0.007026,142 +0.006945,142 +0.010603,142 +0.008532,142 +0.007087,142 +0.006987,142 +0.007045,142 +0.006968,142 +0.007052,142 +0.007006,142 +0.006958,142 +0.007029,142 +0.007006,142 +0.007024,142 +0.006943,142 +0.006946,142 +0.012083,142 +0.007096,142 +0.006994,142 +0.006994,142 +0.007034,142 +0.007008,142 +0.007026,142 +0.006946,142 +0.006985,142 +0.006985,142 +0.007024,142 +0.007025,142 +0.006942,142 +0.008762,142 +0.010367,142 +0.007151,142 +0.006977,142 +0.007046,142 +0.006955,142 +0.006988,142 +0.006987,142 +0.006944,142 +0.007327,144 +0.007334,144 +0.007310,144 +0.007232,144 +0.007268,144 +0.012184,144 +0.007532,144 +0.007281,144 +0.007333,144 +0.007233,144 +0.007237,144 +0.007310,144 +0.007274,144 +0.007310,144 +0.007298,144 +0.007331,144 +0.007454,144 +0.007391,144 +0.011581,144 +0.007960,144 +0.007244,144 +0.007270,144 +0.007314,144 +0.007273,144 +0.007328,144 +0.007248,144 +0.007312,144 +0.007335,144 +0.007310,144 +0.007232,144 +0.007269,144 +0.010878,144 +0.008735,144 +0.007287,144 +0.007312,144 +0.007293,144 +0.007232,144 +0.007358,144 +0.007243,144 +0.007335,144 +0.007291,144 +0.007310,144 +0.007231,144 +0.007227,144 +0.010332,144 +0.009383,144 +0.007242,144 +0.007305,144 +0.007304,144 +0.007293,144 +0.007309,144 +0.007232,144 +0.007310,144 +0.007312,144 +0.007339,144 +0.007228,144 +0.007231,144 +0.009600,144 +0.010036,144 +0.007243,144 +0.007316,144 +0.007283,144 +0.007262,144 +0.007314,144 +0.007254,144 +0.007333,144 +0.007283,144 +0.007355,144 +0.007228,144 +0.007274,144 +0.007931,144 +0.012148,144 +0.007279,144 +0.007336,144 +0.007293,144 +0.007232,144 +0.007309,144 +0.007231,144 +0.007310,144 +0.007292,144 +0.007352,144 +0.007228,144 +0.007375,144 +0.009157,144 +0.010462,144 +0.007231,144 +0.007276,144 +0.007271,144 +0.007230,144 +0.007311,144 +0.007231,144 +0.007312,144 +0.007291,144 +0.007270,144 +0.007267,144 +0.007231,144 +0.008402,144 +0.011334,144 +0.007284,144 +0.007240,144 +0.007692,146 +0.007635,146 +0.007671,146 +0.007604,146 +0.007675,146 +0.007674,146 +0.007691,146 +0.007592,146 +0.008196,146 +0.011100,146 +0.009205,146 +0.007645,146 +0.007745,146 +0.007741,146 +0.007693,146 +0.007592,146 +0.007713,146 +0.007721,146 +0.007635,146 +0.007631,146 +0.007589,146 +0.008456,146 +0.011895,146 +0.007599,146 +0.007672,146 +0.007591,146 +0.007850,146 +0.007654,146 +0.007612,146 +0.007675,146 +0.007654,146 +0.007694,146 +0.007590,146 +0.007653,146 +0.011486,146 +0.008898,146 +0.007667,146 +0.007743,146 +0.007588,146 +0.007674,146 +0.007592,146 +0.007675,146 +0.007653,146 +0.007671,146 +0.007592,146 +0.007812,146 +0.008585,146 +0.011660,146 +0.007667,146 +0.007763,146 +0.007664,146 +0.007691,146 +0.007589,146 +0.007630,146 +0.007656,146 +0.007675,146 +0.007671,146 +0.007592,146 +0.007714,146 +0.011731,146 +0.008435,146 +0.007684,146 +0.007714,146 +0.007672,146 +0.007723,146 +0.007733,146 +0.007689,146 +0.007660,146 +0.007674,146 +0.007592,146 +0.007674,146 +0.008910,146 +0.011245,146 +0.007650,146 +0.007695,146 +0.007592,146 +0.007752,146 +0.007666,146 +0.007710,146 +0.007593,146 +0.007711,146 +0.007716,146 +0.007592,146 +0.007674,146 +0.012258,146 +0.007952,146 +0.007695,146 +0.007613,146 +0.007652,146 +0.007758,146 +0.007596,146 +0.007690,146 +0.007652,146 +0.007679,146 +0.007635,146 +0.007674,146 +0.008160,146 +0.012631,146 +0.008593,146 +0.007761,146 +0.007959,148 +0.007968,148 +0.007851,148 +0.007933,148 +0.007973,148 +0.007929,148 +0.008064,148 +0.007951,148 +0.009425,148 +0.011397,148 +0.007870,148 +0.007970,148 +0.007905,148 +0.007930,148 +0.007850,148 +0.007932,148 +0.007918,148 +0.007932,148 +0.007850,148 +0.007933,148 +0.008677,148 +0.012120,148 +0.007928,148 +0.007977,148 +0.007935,148 +0.007924,148 +0.007869,148 +0.007936,148 +0.007914,148 +0.007929,148 +0.007850,148 +0.007940,148 +0.008258,148 +0.012461,148 +0.007890,148 +0.007965,148 +0.007929,148 +0.007910,148 +0.007851,148 +0.007914,148 +0.007934,148 +0.007977,148 +0.007850,148 +0.007929,148 +0.007850,148 +0.012867,148 +0.007892,148 +0.007950,148 +0.007874,148 +0.007932,148 +0.007872,148 +0.007944,148 +0.007951,148 +0.007930,148 +0.007850,148 +0.007911,148 +0.007851,148 +0.012936,148 +0.007927,148 +0.007969,148 +0.007873,148 +0.007961,148 +0.007850,148 +0.007933,148 +0.007970,148 +0.007910,148 +0.007927,148 +0.007972,148 +0.007849,148 +0.012914,148 +0.007896,148 +0.007971,148 +0.007897,148 +0.007961,148 +0.007914,148 +0.007989,148 +0.007942,148 +0.007972,148 +0.007896,148 +0.007957,148 +0.007873,148 +0.012887,148 +0.007898,148 +0.007967,148 +0.007851,148 +0.007972,148 +0.007890,148 +0.007907,148 +0.007930,148 +0.007909,148 +0.007850,148 +0.007909,148 +0.007851,148 +0.012450,148 +0.008353,148 +0.007964,148 +0.007935,148 +0.007967,148 +0.007860,148 +0.008012,148 +0.008326,150 +0.008283,150 +0.008174,150 +0.008234,150 +0.008176,150 +0.013231,150 +0.008333,150 +0.008238,150 +0.008228,150 +0.008234,150 +0.008227,150 +0.008236,150 +0.008307,150 +0.008221,150 +0.008196,150 +0.008215,150 +0.009105,150 +0.013067,150 +0.009257,150 +0.008500,150 +0.008297,150 +0.008421,150 +0.008322,150 +0.008274,150 +0.008333,150 +0.008374,150 +0.008256,150 +0.008175,150 +0.013310,150 +0.008296,150 +0.008247,150 +0.008317,150 +0.008242,150 +0.008293,150 +0.008203,150 +0.008344,150 +0.008177,150 +0.008256,150 +0.008198,150 +0.010603,150 +0.010949,150 +0.008287,150 +0.008198,150 +0.008256,150 +0.008192,150 +0.008240,150 +0.008258,150 +0.008269,150 +0.008235,150 +0.008241,150 +0.008175,150 +0.013210,150 +0.008325,150 +0.008201,150 +0.008306,150 +0.008176,150 +0.008239,150 +0.008211,150 +0.008391,150 +0.008218,150 +0.008248,150 +0.008181,150 +0.009482,150 +0.011948,150 +0.008287,150 +0.008195,150 +0.008310,150 +0.008197,150 +0.008256,150 +0.008283,150 +0.008265,150 +0.008176,150 +0.008239,150 +0.008176,150 +0.012253,150 +0.009329,150 +0.008246,150 +0.008255,150 +0.008195,150 +0.008235,150 +0.008176,150 +0.008328,150 +0.008177,150 +0.008353,150 +0.008176,150 +0.008301,150 +0.013030,150 +0.008253,150 +0.008203,150 +0.008289,150 +0.008261,150 +0.008237,150 +0.008196,150 +0.008282,150 +0.008176,150 +0.008215,150 +0.008199,150 +0.011124,150 +0.010348,150 +0.008221,150 +0.008590,152 +0.008528,152 +0.008581,152 +0.008496,152 +0.008618,152 +0.008500,152 +0.008539,152 +0.008495,152 +0.009897,152 +0.012220,152 +0.008549,152 +0.008580,152 +0.008496,152 +0.008536,152 +0.008536,152 +0.008594,152 +0.008504,152 +0.008537,152 +0.008508,152 +0.008783,152 +0.013258,152 +0.008581,152 +0.008518,152 +0.008561,152 +0.008531,152 +0.008556,152 +0.008678,152 +0.008503,152 +0.008537,152 +0.008538,152 +0.008536,152 +0.013405,152 +0.009086,152 +0.008519,152 +0.008583,152 +0.008531,152 +0.008603,152 +0.008575,152 +0.008543,152 +0.008708,152 +0.008499,152 +0.008728,152 +0.013398,152 +0.008614,152 +0.008541,152 +0.008572,152 +0.008527,152 +0.008578,152 +0.008571,152 +0.008540,152 +0.008496,152 +0.008633,152 +0.008537,152 +0.012668,152 +0.009393,152 +0.008538,152 +0.008580,152 +0.008513,152 +0.008534,152 +0.008556,152 +0.008553,152 +0.008498,152 +0.008536,152 +0.008495,152 +0.011647,152 +0.010350,152 +0.008567,152 +0.008598,152 +0.008497,152 +0.008541,152 +0.008564,152 +0.008630,152 +0.008497,152 +0.008536,152 +0.008499,152 +0.010562,152 +0.011428,152 +0.008526,152 +0.008558,152 +0.008550,152 +0.008571,152 +0.008993,152 +0.009109,152 +0.008602,152 +0.008796,152 +0.008519,152 +0.010517,152 +0.011600,152 +0.008552,152 +0.008619,152 +0.008497,152 +0.008579,152 +0.008496,152 +0.008652,152 +0.008569,152 +0.008620,152 +0.008498,152 +0.009709,152 +0.012485,152 +0.008564,152 +0.009016,154 +0.008902,154 +0.008946,154 +0.008847,154 +0.008991,154 +0.008844,154 +0.008929,154 +0.008883,154 +0.011722,154 +0.011108,154 +0.008916,154 +0.008952,154 +0.008897,154 +0.008927,154 +0.008921,154 +0.008936,154 +0.008879,154 +0.008908,154 +0.008925,154 +0.013578,154 +0.009007,154 +0.008936,154 +0.008911,154 +0.008889,154 +0.008881,154 +0.009014,154 +0.008844,154 +0.008920,154 +0.008842,154 +0.008925,154 +0.013867,154 +0.008872,154 +0.008942,154 +0.008897,154 +0.008921,154 +0.008842,154 +0.008996,154 +0.009369,154 +0.009038,154 +0.008919,154 +0.009989,154 +0.013399,154 +0.008900,154 +0.008974,154 +0.008902,154 +0.008949,154 +0.008947,154 +0.008939,154 +0.009119,154 +0.008847,154 +0.008954,154 +0.013207,154 +0.009464,154 +0.008922,154 +0.008902,154 +0.008945,154 +0.008842,154 +0.009057,154 +0.008846,154 +0.008920,154 +0.008889,154 +0.008921,154 +0.013838,154 +0.008916,154 +0.008943,154 +0.008860,154 +0.008921,154 +0.008842,154 +0.009052,154 +0.008841,154 +0.008921,154 +0.008842,154 +0.010556,154 +0.012137,154 +0.008893,154 +0.009020,154 +0.008856,154 +0.008920,154 +0.008948,154 +0.009503,154 +0.008969,154 +0.008888,154 +0.008961,154 +0.012439,154 +0.010243,154 +0.008968,154 +0.008888,154 +0.008947,154 +0.008843,154 +0.008980,154 +0.008842,154 +0.008925,154 +0.008843,154 +0.008920,154 +0.013791,154 +0.008942,154 +0.008941,154 +0.008903,154 +0.008926,154 +0.008848,154 +0.009499,156 +0.009334,156 +0.009283,156 +0.009266,156 +0.011629,156 +0.011676,156 +0.009271,156 +0.009246,156 +0.009345,156 +0.009240,156 +0.009374,156 +0.009283,156 +0.009286,156 +0.009184,156 +0.009266,156 +0.014065,156 +0.009249,156 +0.009320,156 +0.009289,156 +0.009245,156 +0.009339,156 +0.009187,156 +0.009283,156 +0.009188,156 +0.009263,156 +0.013484,156 +0.009916,156 +0.009344,156 +0.009206,156 +0.009293,156 +0.009184,156 +0.009405,156 +0.009270,156 +0.009185,156 +0.009287,156 +0.011293,156 +0.012023,156 +0.009330,156 +0.009187,156 +0.009264,156 +0.009192,156 +0.009396,156 +0.009184,156 +0.009284,156 +0.009228,156 +0.009224,156 +0.014616,156 +0.009291,156 +0.009270,156 +0.009321,156 +0.009187,156 +0.009374,156 +0.009282,156 +0.009344,156 +0.009185,156 +0.009271,156 +0.013772,156 +0.009505,156 +0.009288,156 +0.009205,156 +0.009265,156 +0.009332,156 +0.009187,156 +0.009263,156 +0.009286,156 +0.009381,156 +0.010971,156 +0.012399,156 +0.009319,156 +0.009214,156 +0.009270,156 +0.009185,156 +0.009331,156 +0.009207,156 +0.009204,156 +0.009225,156 +0.009189,156 +0.014033,156 +0.009291,156 +0.009208,156 +0.009224,156 +0.009228,156 +0.009336,156 +0.009186,156 +0.009225,156 +0.009186,156 +0.009245,156 +0.012972,156 +0.010474,156 +0.009281,156 +0.009432,156 +0.009240,156 +0.009350,156 +0.009186,156 +0.009249,156 +0.009185,156 +0.009224,156 +0.010326,156 +0.013002,156 +0.009279,156 +0.009701,158 +0.009625,158 +0.009621,158 +0.009726,158 +0.009628,158 +0.009543,158 +0.009582,158 +0.010835,158 +0.013186,158 +0.009713,158 +0.009620,158 +0.009625,158 +0.009666,158 +0.009545,158 +0.009610,158 +0.009585,158 +0.009679,158 +0.010873,158 +0.013045,158 +0.009651,158 +0.009623,158 +0.009568,158 +0.009643,158 +0.009545,158 +0.009583,158 +0.009542,158 +0.009586,158 +0.010793,158 +0.013279,158 +0.009682,158 +0.009608,158 +0.009561,158 +0.009687,158 +0.009548,158 +0.009582,158 +0.009545,158 +0.009612,158 +0.010642,158 +0.013318,158 +0.009618,158 +0.009640,158 +0.009560,158 +0.009687,158 +0.009544,158 +0.009582,158 +0.009546,158 +0.009582,158 +0.009657,158 +0.014768,158 +0.009654,158 +0.009671,158 +0.009584,158 +0.009713,158 +0.009808,158 +0.009650,158 +0.009599,158 +0.009547,158 +0.009723,158 +0.009852,158 +0.009656,158 +0.009584,158 +0.009627,158 +0.009685,158 +0.009587,158 +0.009604,158 +0.009544,158 +0.009607,158 +0.009562,158 +0.009986,158 +0.009774,158 +0.009682,158 +0.011187,158 +0.009877,158 +0.009714,158 +0.009629,158 +0.009544,158 +0.009622,158 +0.009546,158 +0.009776,158 +0.009973,158 +0.009588,158 +0.010187,158 +0.009548,158 +0.009694,158 +0.009594,158 +0.009582,158 +0.009623,158 +0.009543,158 +0.009730,158 +0.009879,158 +0.009693,158 +0.009872,158 +0.009792,158 +0.009710,158 +0.009545,158 +0.009621,158 +0.009547,158 +0.009622,158 +0.009627,158 +0.010054,158 +0.010054,160 +0.009929,160 +0.010009,160 +0.009988,160 +0.010043,160 +0.010026,160 +0.009913,160 +0.009992,160 +0.009988,160 +0.010275,160 +0.010065,160 +0.009904,160 +0.010016,160 +0.009985,160 +0.009989,160 +0.009988,160 +0.009997,160 +0.010034,160 +0.010070,160 +0.010303,160 +0.010059,160 +0.009946,160 +0.010008,160 +0.009986,160 +0.009979,160 +0.009984,160 +0.009905,160 +0.009988,160 +0.009993,160 +0.010278,160 +0.010234,160 +0.009945,160 +0.010079,160 +0.009987,160 +0.009990,160 +0.012101,160 +0.010456,160 +0.009979,160 +0.010182,160 +0.010254,160 +0.010008,160 +0.009989,160 +0.009967,160 +0.010090,160 +0.009973,160 +0.010025,160 +0.009985,160 +0.009903,160 +0.010008,160 +0.010262,160 +0.010137,160 +0.010036,160 +0.009937,160 +0.010067,160 +0.010004,160 +0.010024,160 +0.009989,160 +0.009907,160 +0.009991,160 +0.010275,160 +0.010042,160 +0.009989,160 +0.009911,160 +0.010050,160 +0.009907,160 +0.010129,160 +0.010013,160 +0.009909,160 +0.009995,160 +0.010495,160 +0.010028,160 +0.010029,160 +0.009951,160 +0.010063,160 +0.010007,160 +0.009944,160 +0.009986,160 +0.009904,160 +0.010006,160 +0.010279,160 +0.010067,160 +0.010054,160 +0.009934,160 +0.010086,160 +0.009944,160 +0.009944,160 +0.009987,160 +0.009904,160 +0.009985,160 +0.010425,160 +0.009962,160 +0.009988,160 +0.009906,160 +0.010069,160 +0.009944,160 +0.009949,160 +0.009985,160 +0.009904,160 +0.010007,160 +0.010422,160 +0.010407,162 +0.010363,162 +0.010280,162 +0.010447,162 +0.010445,162 +0.010283,162 +0.010360,162 +0.010319,162 +0.010479,162 +0.010749,162 +0.010282,162 +0.010404,162 +0.010358,162 +0.010366,162 +0.010361,162 +0.010360,162 +0.010364,162 +0.010358,162 +0.010496,162 +0.010656,162 +0.010365,162 +0.010284,162 +0.010423,162 +0.010320,162 +0.010323,162 +0.010378,162 +0.010281,162 +0.010360,162 +0.010843,162 +0.010325,162 +0.010400,162 +0.010281,162 +0.010441,162 +0.010361,162 +0.010284,162 +0.010378,162 +0.010372,162 +0.010364,162 +0.010847,162 +0.010389,162 +0.010406,162 +0.010388,162 +0.010346,162 +0.010407,162 +0.010365,162 +0.010317,162 +0.010364,162 +0.010498,162 +0.010612,162 +0.010410,162 +0.010280,162 +0.010466,162 +0.010487,162 +0.010487,162 +0.010363,162 +0.010280,162 +0.010450,162 +0.010746,162 +0.010334,162 +0.010491,162 +0.010358,162 +0.010363,162 +0.010387,162 +0.010300,162 +0.010363,162 +0.010362,162 +0.010541,162 +0.010729,162 +0.010459,162 +0.010328,162 +0.010466,162 +0.010283,162 +0.010364,162 +0.010362,162 +0.010282,162 +0.010362,162 +0.010745,162 +0.010464,162 +0.010403,162 +0.010316,162 +0.010428,162 +0.010365,162 +0.010284,162 +0.010382,162 +0.010364,162 +0.010383,162 +0.010771,162 +0.010351,162 +0.010378,162 +0.010404,162 +0.010364,162 +0.011207,162 +0.010435,162 +0.010319,162 +0.010426,162 +0.010802,162 +0.010531,162 +0.010431,162 +0.010284,162 +0.010522,162 +0.010784,164 +0.010711,164 +0.010748,164 +0.010809,164 +0.010786,164 +0.011112,164 +0.010752,164 +0.010789,164 +0.010813,164 +0.010773,164 +0.010780,164 +0.011292,164 +0.011594,164 +0.011430,164 +0.011138,164 +0.010801,164 +0.010771,164 +0.010786,164 +0.010763,164 +0.010774,164 +0.010746,164 +0.010671,164 +0.010771,164 +0.011398,164 +0.010791,164 +0.010771,164 +0.010810,164 +0.010777,164 +0.010796,164 +0.010822,164 +0.011003,164 +0.010760,164 +0.010943,164 +0.011030,164 +0.010857,164 +0.010801,164 +0.010826,164 +0.010754,164 +0.010670,164 +0.010748,164 +0.010750,164 +0.010836,164 +0.011151,164 +0.010840,164 +0.010732,164 +0.010915,164 +0.010751,164 +0.010709,164 +0.010746,164 +0.010754,164 +0.010714,164 +0.011173,164 +0.010763,164 +0.010850,164 +0.010793,164 +0.010779,164 +0.010792,164 +0.010793,164 +0.010669,164 +0.010780,164 +0.011376,164 +0.010779,164 +0.010790,164 +0.010751,164 +0.010751,164 +0.010753,164 +0.010751,164 +0.010669,164 +0.010745,164 +0.010846,164 +0.012370,164 +0.010926,164 +0.011042,164 +0.010808,164 +0.010782,164 +0.010733,164 +0.010707,164 +0.010750,164 +0.010891,164 +0.011047,164 +0.011147,164 +0.010669,164 +0.010834,164 +0.010770,164 +0.010670,164 +0.010747,164 +0.010746,164 +0.010755,164 +0.011173,164 +0.011209,164 +0.010669,164 +0.011009,164 +0.010817,164 +0.010712,164 +0.010766,164 +0.010734,164 +0.010828,164 +0.011192,164 +0.010784,164 +0.010732,164 +0.011191,166 +0.011185,166 +0.011145,166 +0.011888,166 +0.012399,166 +0.012089,166 +0.011909,166 +0.011759,166 +0.011249,166 +0.011758,166 +0.011934,166 +0.011491,166 +0.011819,166 +0.011546,166 +0.011587,166 +0.011658,166 +0.012568,166 +0.011181,166 +0.011217,166 +0.011118,166 +0.011121,166 +0.011059,166 +0.011164,166 +0.011387,166 +0.011276,166 +0.011226,166 +0.011204,166 +0.011228,166 +0.011131,166 +0.011142,166 +0.011100,166 +0.011137,166 +0.011355,166 +0.011357,166 +0.011142,166 +0.011250,166 +0.011281,166 +0.011159,166 +0.011142,166 +0.011099,166 +0.011100,166 +0.011505,166 +0.011219,166 +0.011137,166 +0.011220,166 +0.011239,166 +0.011102,166 +0.011155,166 +0.011142,166 +0.011062,166 +0.011673,166 +0.011270,166 +0.011083,166 +0.011158,166 +0.011245,166 +0.011062,166 +0.011140,166 +0.011156,166 +0.011061,166 +0.011578,166 +0.011292,166 +0.011134,166 +0.011167,166 +0.011235,166 +0.011059,166 +0.011144,166 +0.011139,166 +0.011159,166 +0.011497,166 +0.011209,166 +0.011156,166 +0.011138,166 +0.011201,166 +0.011061,166 +0.011138,166 +0.011169,166 +0.011059,166 +0.011572,166 +0.011204,166 +0.011161,166 +0.011254,166 +0.011203,166 +0.011098,166 +0.011138,166 +0.011144,166 +0.011083,166 +0.011473,166 +0.011272,166 +0.011144,166 +0.011296,166 +0.011161,166 +0.011103,166 +0.011360,166 +0.011138,166 +0.011134,166 +0.011465,166 +0.011145,166 +0.011102,166 +0.011164,166 +0.011182,166 +0.011523,168 +0.011490,168 +0.011535,168 +0.011532,168 +0.011907,168 +0.011672,168 +0.011655,168 +0.011612,168 +0.011542,168 +0.011551,168 +0.011531,168 +0.011524,168 +0.011651,168 +0.011834,168 +0.011450,168 +0.011632,168 +0.011648,168 +0.011473,168 +0.011532,168 +0.011528,168 +0.011452,168 +0.011698,168 +0.011850,168 +0.011598,168 +0.011687,168 +0.011610,168 +0.011528,168 +0.011452,168 +0.011555,168 +0.011512,168 +0.011784,168 +0.011572,168 +0.011512,168 +0.011580,168 +0.011532,168 +0.011554,168 +0.011490,168 +0.011495,168 +0.011668,168 +0.011871,168 +0.011485,168 +0.011530,168 +0.011591,168 +0.011449,168 +0.011529,168 +0.011532,168 +0.011516,168 +0.011658,168 +0.011794,168 +0.011571,168 +0.011533,168 +0.011528,168 +0.011533,168 +0.011450,168 +0.011528,168 +0.011552,168 +0.011742,168 +0.011668,168 +0.011667,168 +0.011600,168 +0.011559,168 +0.011602,168 +0.011623,168 +0.011590,168 +0.011655,168 +0.012261,168 +0.011516,168 +0.011774,168 +0.011784,168 +0.011491,168 +0.011541,168 +0.011557,168 +0.011546,168 +0.011727,168 +0.011933,168 +0.011591,168 +0.011511,168 +0.011567,168 +0.011619,168 +0.011493,168 +0.011491,168 +0.011567,168 +0.012135,168 +0.011495,168 +0.011536,168 +0.011575,168 +0.011452,168 +0.011510,168 +0.011513,168 +0.011452,168 +0.011755,168 +0.012195,168 +0.011600,168 +0.011611,168 +0.011585,168 +0.011533,168 +0.011453,168 +0.011526,168 +0.011563,168 +0.011778,168 +0.012368,170 +0.011991,170 +0.012023,170 +0.011874,170 +0.011995,170 +0.011975,170 +0.011873,170 +0.012019,170 +0.012605,170 +0.011974,170 +0.012064,170 +0.012011,170 +0.011956,170 +0.011913,170 +0.011915,170 +0.011957,170 +0.012581,170 +0.011992,170 +0.011972,170 +0.012224,170 +0.011968,170 +0.011880,170 +0.011963,170 +0.011961,170 +0.012367,170 +0.012179,170 +0.012012,170 +0.012050,170 +0.011872,170 +0.011946,170 +0.011983,170 +0.011910,170 +0.012138,170 +0.012355,170 +0.012069,170 +0.011953,170 +0.011972,170 +0.011951,170 +0.011969,170 +0.011873,170 +0.011954,170 +0.012545,170 +0.011952,170 +0.012034,170 +0.011974,170 +0.011952,170 +0.011891,170 +0.011952,170 +0.011949,170 +0.012361,170 +0.012149,170 +0.012212,170 +0.012514,170 +0.012752,170 +0.012681,170 +0.012633,170 +0.012701,170 +0.012961,170 +0.012976,170 +0.013305,170 +0.013122,170 +0.013128,170 +0.013197,170 +0.013457,170 +0.012856,170 +0.014079,170 +0.012390,170 +0.012251,170 +0.012068,170 +0.011998,170 +0.012010,170 +0.011881,170 +0.012047,170 +0.013430,170 +0.012022,170 +0.012064,170 +0.012012,170 +0.011969,170 +0.011879,170 +0.011970,170 +0.012012,170 +0.013293,170 +0.012159,170 +0.012003,170 +0.012090,170 +0.011921,170 +0.011919,170 +0.011975,170 +0.011976,170 +0.013089,170 +0.013243,170 +0.012087,170 +0.012064,170 +0.012142,170 +0.011978,170 +0.012004,170 +0.011963,170 +0.011878,170 +0.013426,170 +0.011999,170 +0.012542,172 +0.012343,172 +0.012399,172 +0.012399,172 +0.012399,172 +0.012335,172 +0.013855,172 +0.012485,172 +0.012488,172 +0.012322,172 +0.012376,172 +0.012417,172 +0.012376,172 +0.012359,172 +0.013822,172 +0.012456,172 +0.012528,172 +0.012299,172 +0.012400,172 +0.012376,172 +0.012380,172 +0.012348,172 +0.013919,172 +0.012396,172 +0.012518,172 +0.012300,172 +0.012436,172 +0.012373,172 +0.012377,172 +0.012768,172 +0.013555,172 +0.012493,172 +0.012480,172 +0.012365,172 +0.012372,172 +0.012416,172 +0.012470,172 +0.012911,172 +0.013230,172 +0.012400,172 +0.012480,172 +0.012401,172 +0.012358,172 +0.012374,172 +0.012399,172 +0.012936,172 +0.013161,172 +0.012432,172 +0.012491,172 +0.012339,172 +0.012351,172 +0.012387,172 +0.012380,172 +0.012970,172 +0.013251,172 +0.012388,172 +0.012437,172 +0.012403,172 +0.012297,172 +0.012398,172 +0.012422,172 +0.012949,172 +0.013123,172 +0.012379,172 +0.012475,172 +0.012376,172 +0.012297,172 +0.012430,172 +0.012380,172 +0.013706,172 +0.013553,172 +0.012487,172 +0.012477,172 +0.012439,172 +0.012298,172 +0.012377,172 +0.012376,172 +0.013300,172 +0.012890,172 +0.012415,172 +0.012543,172 +0.012378,172 +0.012305,172 +0.012375,172 +0.012374,172 +0.013355,172 +0.012861,172 +0.012377,172 +0.012459,172 +0.012386,172 +0.012342,172 +0.012377,172 +0.012387,172 +0.013479,172 +0.012737,172 +0.012374,172 +0.012439,172 +0.012419,172 +0.012339,172 +0.012335,172 +0.012924,174 +0.014114,174 +0.013398,174 +0.012870,174 +0.012829,174 +0.012810,174 +0.012898,174 +0.012773,174 +0.012770,174 +0.014461,174 +0.012943,174 +0.012952,174 +0.012893,174 +0.012770,174 +0.012819,174 +0.012815,174 +0.013198,174 +0.013806,174 +0.012834,174 +0.012930,174 +0.012905,174 +0.013421,174 +0.012810,174 +0.012833,174 +0.014129,174 +0.013014,174 +0.012818,174 +0.012832,174 +0.012812,174 +0.012827,174 +0.012774,174 +0.012827,174 +0.014350,174 +0.012876,174 +0.012939,174 +0.012771,174 +0.012778,174 +0.012826,174 +0.012832,174 +0.012847,174 +0.014217,174 +0.012893,174 +0.012886,174 +0.012816,174 +0.012773,174 +0.012781,174 +0.012813,174 +0.014284,174 +0.013887,174 +0.013176,174 +0.012836,174 +0.012812,174 +0.012850,174 +0.012854,174 +0.012751,174 +0.014305,174 +0.012886,174 +0.012893,174 +0.012796,174 +0.012766,174 +0.012814,174 +0.012808,174 +0.012820,174 +0.014250,174 +0.012876,174 +0.012902,174 +0.012811,174 +0.012777,174 +0.012769,174 +0.012870,174 +0.013717,174 +0.013426,174 +0.012750,174 +0.012822,174 +0.012850,174 +0.012808,174 +0.012984,174 +0.012814,174 +0.013902,174 +0.012985,174 +0.012943,174 +0.012767,174 +0.012812,174 +0.012810,174 +0.012809,174 +0.012775,174 +0.014276,174 +0.012971,174 +0.012871,174 +0.012878,174 +0.012763,174 +0.012850,174 +0.012817,174 +0.012812,174 +0.014245,174 +0.012864,174 +0.013058,174 +0.012952,174 +0.012890,174 +0.012775,174 +0.013229,176 +0.014257,176 +0.013616,176 +0.013359,176 +0.013247,176 +0.013200,176 +0.013245,176 +0.013236,176 +0.013294,176 +0.014650,176 +0.013181,176 +0.013312,176 +0.013240,176 +0.013241,176 +0.013264,176 +0.013196,176 +0.014077,176 +0.013740,176 +0.013320,176 +0.013239,176 +0.013155,176 +0.013252,176 +0.013269,176 +0.013234,176 +0.015676,176 +0.013342,176 +0.013354,176 +0.013246,176 +0.013241,176 +0.013235,176 +0.013202,176 +0.014308,176 +0.013464,176 +0.013379,176 +0.013273,176 +0.013302,176 +0.013184,176 +0.013255,176 +0.013260,176 +0.014662,176 +0.013348,176 +0.013158,176 +0.013240,176 +0.013244,176 +0.013241,176 +0.013302,176 +0.014299,176 +0.013475,176 +0.013319,176 +0.013235,176 +0.013244,176 +0.013223,176 +0.013300,176 +0.013448,176 +0.014596,176 +0.013353,176 +0.013236,176 +0.013191,176 +0.013241,176 +0.013890,176 +0.013450,176 +0.014640,176 +0.013330,176 +0.013404,176 +0.013243,176 +0.013239,176 +0.013238,176 +0.013216,176 +0.013558,176 +0.014477,176 +0.013404,176 +0.013368,176 +0.013281,176 +0.013190,176 +0.013259,176 +0.013234,176 +0.014619,176 +0.013257,176 +0.013273,176 +0.013255,176 +0.013242,176 +0.013230,176 +0.013262,176 +0.013705,176 +0.014162,176 +0.013396,176 +0.013258,176 +0.013253,176 +0.013167,176 +0.013313,176 +0.013258,176 +0.014743,176 +0.013368,176 +0.013229,176 +0.013240,176 +0.013265,176 +0.013312,176 +0.013221,176 +0.014368,176 +0.014610,176 +0.014034,178 +0.013804,178 +0.013749,178 +0.013730,178 +0.013697,178 +0.013688,178 +0.015298,178 +0.013925,178 +0.013806,178 +0.013768,178 +0.013693,178 +0.013685,178 +0.013730,178 +0.015227,178 +0.013905,178 +0.013775,178 +0.013737,178 +0.013648,178 +0.013803,178 +0.013741,178 +0.015209,178 +0.013851,178 +0.013757,178 +0.013646,178 +0.013730,178 +0.013816,178 +0.013727,178 +0.014983,178 +0.013994,178 +0.013671,178 +0.013728,178 +0.013737,178 +0.013749,178 +0.013727,178 +0.014320,178 +0.014624,178 +0.013803,178 +0.013733,178 +0.013728,178 +0.013793,178 +0.013732,178 +0.013658,178 +0.015135,178 +0.013893,178 +0.013753,178 +0.013730,178 +0.013949,178 +0.014305,178 +0.013707,178 +0.015145,178 +0.013894,178 +0.013792,178 +0.013752,178 +0.013750,178 +0.013733,178 +0.013735,178 +0.015082,178 +0.013848,178 +0.013724,178 +0.013745,178 +0.013650,178 +0.013775,178 +0.013733,178 +0.014791,178 +0.014185,178 +0.013790,178 +0.013675,178 +0.013743,178 +0.013723,178 +0.013748,178 +0.013917,178 +0.016409,178 +0.013868,178 +0.013665,178 +0.013760,178 +0.013723,178 +0.013813,178 +0.013727,178 +0.015177,178 +0.013749,178 +0.013743,178 +0.013724,178 +0.013724,178 +0.013728,178 +0.013685,178 +0.015080,178 +0.013865,178 +0.013746,178 +0.013721,178 +0.013739,178 +0.013731,178 +0.013676,178 +0.015119,178 +0.013960,178 +0.013744,178 +0.013728,178 +0.013740,178 +0.013644,178 +0.013724,178 +0.014658,178 +0.014728,180 +0.014195,180 +0.014154,180 +0.014114,180 +0.014113,180 +0.014158,180 +0.015102,180 +0.014781,180 +0.014233,180 +0.014154,180 +0.014149,180 +0.014076,180 +0.014217,180 +0.014995,180 +0.014969,180 +0.014297,180 +0.014176,180 +0.014168,180 +0.014086,180 +0.014151,180 +0.014921,180 +0.014900,180 +0.014164,180 +0.014154,180 +0.014149,180 +0.014153,180 +0.014112,180 +0.014883,180 +0.014967,180 +0.014175,180 +0.014164,180 +0.014196,180 +0.014109,180 +0.014114,180 +0.014899,180 +0.015049,180 +0.014223,180 +0.014156,180 +0.014178,180 +0.014150,180 +0.014075,180 +0.015177,180 +0.015930,180 +0.014194,180 +0.014163,180 +0.014190,180 +0.014157,180 +0.014110,180 +0.014913,180 +0.014957,180 +0.014214,180 +0.014177,180 +0.014151,180 +0.014155,180 +0.014152,180 +0.014882,180 +0.014835,180 +0.014170,180 +0.014159,180 +0.014152,180 +0.014232,180 +0.014157,180 +0.015053,180 +0.014741,180 +0.014195,180 +0.014153,180 +0.014174,180 +0.014151,180 +0.014157,180 +0.015240,180 +0.014557,180 +0.014173,180 +0.014154,180 +0.014157,180 +0.014151,180 +0.014394,180 +0.015120,180 +0.014651,180 +0.014242,180 +0.014196,180 +0.014211,180 +0.014216,180 +0.014153,180 +0.015174,180 +0.014765,180 +0.014133,180 +0.014154,180 +0.014189,180 +0.014172,180 +0.014150,180 +0.015249,180 +0.014679,180 +0.014261,180 +0.014184,180 +0.014153,180 +0.014189,180 +0.014164,180 +0.015344,180 +0.014498,180 +0.014108,180 +0.014750,182 +0.014647,182 +0.014627,182 +0.014627,182 +0.016130,182 +0.014691,182 +0.014653,182 +0.014672,182 +0.014551,182 +0.014638,182 +0.014671,182 +0.017304,182 +0.014720,182 +0.014631,182 +0.014627,182 +0.014625,182 +0.014627,182 +0.015040,182 +0.015694,182 +0.014651,182 +0.014626,182 +0.014629,182 +0.014627,182 +0.014628,182 +0.015926,182 +0.014910,182 +0.014648,182 +0.014550,182 +0.014717,182 +0.014645,182 +0.014633,182 +0.016201,182 +0.014751,182 +0.014878,182 +0.014713,182 +0.014713,182 +0.014655,182 +0.014610,182 +0.016184,182 +0.014636,182 +0.014632,182 +0.014627,182 +0.014632,182 +0.014793,182 +0.015369,182 +0.015352,182 +0.014551,182 +0.014627,182 +0.014633,182 +0.014628,182 +0.014625,182 +0.016009,182 +0.014969,182 +0.014744,182 +0.014692,182 +0.014556,182 +0.014629,182 +0.014630,182 +0.016128,182 +0.015961,182 +0.014838,182 +0.014701,182 +0.014754,182 +0.014700,182 +0.014594,182 +0.016209,182 +0.014634,182 +0.014625,182 +0.014630,182 +0.014634,182 +0.014626,182 +0.015189,182 +0.015702,182 +0.014674,182 +0.014607,182 +0.014588,182 +0.014629,182 +0.014722,182 +0.016583,182 +0.015458,182 +0.014648,182 +0.014629,182 +0.014654,182 +0.014622,182 +0.014551,182 +0.016172,182 +0.014692,182 +0.014670,182 +0.014647,182 +0.014626,182 +0.014631,182 +0.014628,182 +0.016231,182 +0.014702,182 +0.014695,182 +0.014647,182 +0.014689,182 +0.014630,182 +0.015389,182 +0.015426,182 +0.015261,184 +0.015180,184 +0.015138,184 +0.015059,184 +0.015058,184 +0.016465,184 +0.015138,184 +0.015098,184 +0.015097,184 +0.015119,184 +0.015141,184 +0.015094,184 +0.016480,184 +0.015096,184 +0.015165,184 +0.015160,184 +0.015066,184 +0.015055,184 +0.016511,184 +0.015245,184 +0.015117,184 +0.015112,184 +0.015097,184 +0.015093,184 +0.015099,184 +0.016688,184 +0.015242,184 +0.015145,184 +0.015171,184 +0.015055,184 +0.015094,184 +0.015913,184 +0.016243,184 +0.016548,184 +0.016859,184 +0.016615,184 +0.016799,184 +0.017313,184 +0.016958,184 +0.016048,184 +0.016098,184 +0.015850,184 +0.015472,184 +0.015232,184 +0.015827,184 +0.015177,184 +0.015074,184 +0.016331,184 +0.017115,184 +0.016935,184 +0.016747,184 +0.016620,184 +0.016549,184 +0.016444,184 +0.016073,184 +0.016638,184 +0.016661,184 +0.017202,184 +0.016771,184 +0.016886,184 +0.016380,184 +0.016665,184 +0.016209,184 +0.016098,184 +0.015419,184 +0.015109,184 +0.015642,184 +0.017083,184 +0.016561,184 +0.015799,184 +0.015359,184 +0.015220,184 +0.015253,184 +0.016316,184 +0.017189,184 +0.016395,184 +0.016625,184 +0.016639,184 +0.016613,184 +0.016478,184 +0.016285,184 +0.016545,184 +0.016739,184 +0.017193,184 +0.018658,184 +0.016758,184 +0.016925,184 +0.016327,184 +0.015753,184 +0.016161,184 +0.017930,184 +0.016808,184 +0.016986,184 +0.016812,184 +0.018616,184 +0.017193,184 +0.017303,184 +0.019176,184 +0.018340,184 +0.019973,184 +0.020155,186 +0.020461,186 +0.018463,186 +0.019075,186 +0.024476,186 +0.022738,186 +0.020556,186 +0.019866,186 +0.017708,186 +0.018356,186 +0.017593,186 +0.018223,186 +0.019948,186 +0.020820,186 +0.022140,186 +0.017918,186 +0.019225,186 +0.019098,186 +0.019009,186 +0.022953,186 +0.017083,186 +0.018396,186 +0.017968,186 +0.017585,186 +0.016829,186 +0.016879,186 +0.016319,186 +0.016866,186 +0.018337,186 +0.018310,186 +0.023732,186 +0.018696,186 +0.019207,186 +0.019455,186 +0.018706,186 +0.017146,186 +0.016986,186 +0.017028,186 +0.019344,186 +0.019544,186 +0.017739,186 +0.017609,186 +0.017587,186 +0.017680,186 +0.017810,186 +0.017584,186 +0.017399,186 +0.018720,186 +0.017195,186 +0.017573,186 +0.017484,186 +0.018048,186 +0.021768,186 +0.016621,186 +0.017351,186 +0.016885,186 +0.016948,186 +0.017927,186 +0.017122,186 +0.017224,186 +0.017469,186 +0.017162,186 +0.017409,186 +0.017101,186 +0.017373,186 +0.016490,186 +0.017339,186 +0.017151,186 +0.017822,186 +0.017549,186 +0.017109,186 +0.016668,186 +0.016529,186 +0.016398,186 +0.017232,186 +0.019138,186 +0.017349,186 +0.016798,186 +0.016739,186 +0.017289,186 +0.016649,186 +0.017188,186 +0.016960,186 +0.016722,186 +0.017282,186 +0.016667,186 +0.016988,186 +0.016480,186 +0.016038,186 +0.015908,186 +0.015761,186 +0.015867,186 +0.019385,186 +0.017620,186 +0.018975,186 +0.017683,186 +0.016649,186 +0.017682,186 +0.017443,186 +0.017369,186 +0.017585,188 +0.017031,188 +0.016650,188 +0.016580,188 +0.016551,188 +0.016911,188 +0.017369,188 +0.017895,188 +0.020415,188 +0.021828,188 +0.020295,188 +0.020074,188 +0.020325,188 +0.018933,188 +0.016831,188 +0.016935,188 +0.016587,188 +0.016250,188 +0.016128,188 +0.016203,188 +0.016281,188 +0.016457,188 +0.016501,188 +0.016292,188 +0.016134,188 +0.017463,188 +0.016336,188 +0.016530,188 +0.016388,188 +0.016234,188 +0.016892,188 +0.021228,188 +0.018101,188 +0.018236,188 +0.019020,188 +0.022148,188 +0.028301,188 +0.030740,188 +0.028133,188 +0.030402,188 +0.030221,188 +0.021442,188 +0.026085,188 +0.021689,188 +0.021782,188 +0.019309,188 +0.018858,188 +0.016389,188 +0.016632,188 +0.019297,188 +0.017420,188 +0.018507,188 +0.016734,188 +0.017010,188 +0.017164,188 +0.017296,188 +0.019475,188 +0.018051,188 +0.016476,188 +0.018042,188 +0.016878,188 +0.016812,188 +0.018170,188 +0.017259,188 +0.016538,188 +0.016762,188 +0.017282,188 +0.017397,188 +0.022841,188 +0.018055,188 +0.016597,188 +0.016511,188 +0.016567,188 +0.016492,188 +0.018150,188 +0.017119,188 +0.016564,188 +0.017333,188 +0.016671,188 +0.016647,188 +0.016544,188 +0.016785,188 +0.016593,188 +0.017043,188 +0.016483,188 +0.016506,188 +0.020677,188 +0.016481,188 +0.016269,188 +0.016441,188 +0.016390,188 +0.016472,188 +0.020768,188 +0.016408,188 +0.016359,188 +0.016669,188 +0.016571,188 +0.017968,188 +0.019100,188 +0.016422,188 +0.019606,190 +0.018196,190 +0.017098,190 +0.017581,190 +0.017235,190 +0.016891,190 +0.017145,190 +0.017270,190 +0.017056,190 +0.021680,190 +0.020330,190 +0.019509,190 +0.017363,190 +0.017317,190 +0.017935,190 +0.017530,190 +0.017335,190 +0.018212,190 +0.017494,190 +0.017188,190 +0.017696,190 +0.016806,190 +0.016855,190 +0.017064,190 +0.017031,190 +0.017257,190 +0.017479,190 +0.016840,190 +0.016886,190 +0.017175,190 +0.016892,190 +0.016751,190 +0.017574,190 +0.016842,190 +0.016957,190 +0.017035,190 +0.016909,190 +0.017014,190 +0.017247,190 +0.016834,190 +0.016835,190 +0.017247,190 +0.017006,190 +0.017128,190 +0.018882,190 +0.018347,190 +0.017874,190 +0.017716,190 +0.016836,190 +0.017167,190 +0.016848,190 +0.016718,190 +0.016687,190 +0.016791,190 +0.016808,190 +0.017179,190 +0.016809,190 +0.016723,190 +0.016876,190 +0.017000,190 +0.016726,190 +0.017112,190 +0.016764,190 +0.016678,190 +0.016707,190 +0.016774,190 +0.016693,190 +0.017114,190 +0.016812,190 +0.016817,190 +0.016675,190 +0.016843,190 +0.016779,190 +0.017179,190 +0.016748,190 +0.016754,190 +0.017375,190 +0.017169,190 +0.018405,190 +0.018924,190 +0.018512,190 +0.018088,190 +0.017260,190 +0.017003,190 +0.016994,190 +0.018513,190 +0.017271,190 +0.017029,190 +0.017007,190 +0.016876,190 +0.016957,190 +0.019317,190 +0.019256,190 +0.018045,190 +0.017711,190 +0.017179,190 +0.021522,190 +0.019157,190 +0.022006,190 +0.022502,190 +0.024940,192 +0.020805,192 +0.018494,192 +0.018604,192 +0.018872,192 +0.020463,192 +0.019122,192 +0.018341,192 +0.018278,192 +0.018342,192 +0.021521,192 +0.021664,192 +0.023983,192 +0.022446,192 +0.020787,192 +0.020216,192 +0.021117,192 +0.021752,192 +0.020148,192 +0.020033,192 +0.019823,192 +0.019258,192 +0.018466,192 +0.018968,192 +0.019993,192 +0.024043,192 +0.020247,192 +0.020460,192 +0.022285,192 +0.032353,192 +0.020860,192 +0.019693,192 +0.019178,192 +0.019545,192 +0.019595,192 +0.022936,192 +0.019735,192 +0.020366,192 +0.020715,192 +0.020817,192 +0.019938,192 +0.019200,192 +0.019328,192 +0.019081,192 +0.019019,192 +0.024591,192 +0.020063,192 +0.023090,192 +0.020689,192 +0.025426,192 +0.024649,192 +0.022197,192 +0.023562,192 +0.025272,192 +0.021982,192 +0.019063,192 +0.020815,192 +0.018930,192 +0.019309,192 +0.021683,192 +0.018894,192 +0.018693,192 +0.018402,192 +0.018643,192 +0.018803,192 +0.018865,192 +0.018530,192 +0.018566,192 +0.018457,192 +0.019478,192 +0.019840,192 +0.019749,192 +0.021034,192 +0.020868,192 +0.023697,192 +0.019251,192 +0.019106,192 +0.021241,192 +0.019936,192 +0.020166,192 +0.019412,192 +0.019460,192 +0.019504,192 +0.019592,192 +0.019792,192 +0.019798,192 +0.019799,192 +0.019798,192 +0.021687,192 +0.020310,192 +0.020672,192 +0.020906,192 +0.020747,192 +0.020806,192 +0.020942,192 +0.022014,192 +0.020865,192 +0.020481,192 +0.021178,192 +0.020042,192 +0.019345,194 +0.020383,194 +0.034984,194 +0.031715,194 +0.019095,194 +0.019188,194 +0.019084,194 +0.019325,194 +0.018859,194 +0.019776,194 +0.018427,194 +0.018625,194 +0.018061,194 +0.018269,194 +0.018030,194 +0.018468,194 +0.017982,194 +0.018246,194 +0.018547,194 +0.019330,194 +0.019578,194 +0.019471,194 +0.020268,194 +0.019597,194 +0.019489,194 +0.019100,194 +0.019014,194 +0.019099,194 +0.018724,194 +0.018987,194 +0.018608,194 +0.018548,194 +0.018599,194 +0.018297,194 +0.018905,194 +0.018515,194 +0.018691,194 +0.018296,194 +0.018482,194 +0.018275,194 +0.018193,194 +0.017980,194 +0.018071,194 +0.018040,194 +0.017936,194 +0.019145,194 +0.019417,194 +0.019837,194 +0.020615,194 +0.020887,194 +0.019485,194 +0.018711,194 +0.018365,194 +0.019080,194 +0.018409,194 +0.018458,194 +0.018273,194 +0.017884,194 +0.017895,194 +0.018663,194 +0.019215,194 +0.019486,194 +0.019641,194 +0.019856,194 +0.019866,194 +0.019767,194 +0.020457,194 +0.019443,194 +0.019975,194 +0.019074,194 +0.018775,194 +0.019472,194 +0.020400,194 +0.020998,194 +0.020603,194 +0.020092,194 +0.019683,194 +0.020105,194 +0.018864,194 +0.018451,194 +0.017971,194 +0.018226,194 +0.017998,194 +0.017893,194 +0.018022,194 +0.017815,194 +0.017903,194 +0.018246,194 +0.019260,194 +0.019605,194 +0.019167,194 +0.019089,194 +0.019311,194 +0.019635,194 +0.019365,194 +0.019919,194 +0.020112,194 +0.019885,194 +0.019468,194 +0.019149,194 +0.020764,196 +0.021087,196 +0.020729,196 +0.023838,196 +0.024036,196 +0.019970,196 +0.019897,196 +0.020047,196 +0.019956,196 +0.019867,196 +0.019909,196 +0.021403,196 +0.021023,196 +0.021649,196 +0.020910,196 +0.020714,196 +0.021551,196 +0.021570,196 +0.021105,196 +0.019902,196 +0.019433,196 +0.021446,196 +0.021803,196 +0.020211,196 +0.019600,196 +0.018518,196 +0.019530,196 +0.020621,196 +0.021180,196 +0.020092,196 +0.019216,196 +0.019500,196 +0.021280,196 +0.021502,196 +0.020392,196 +0.020218,196 +0.019788,196 +0.019832,196 +0.019178,196 +0.019315,196 +0.018625,196 +0.018539,196 +0.019664,196 +0.019096,196 +0.019631,196 +0.019488,196 +0.019109,196 +0.019395,196 +0.019174,196 +0.019152,196 +0.018386,196 +0.018477,196 +0.018987,196 +0.018399,196 +0.019330,196 +0.019047,196 +0.018537,196 +0.018668,196 +0.018769,196 +0.018420,196 +0.018592,196 +0.018385,196 +0.018368,196 +0.018968,196 +0.018484,196 +0.018433,196 +0.018916,196 +0.018328,196 +0.018830,196 +0.018451,196 +0.018356,196 +0.018438,196 +0.018313,196 +0.018338,196 +0.018935,196 +0.018504,196 +0.018554,196 +0.018682,196 +0.018337,196 +0.018847,196 +0.019009,196 +0.018384,196 +0.019396,196 +0.018847,196 +0.018546,196 +0.018771,196 +0.018494,196 +0.018434,196 +0.018456,196 +0.018361,196 +0.019148,196 +0.021199,196 +0.019170,196 +0.018582,196 +0.018312,196 +0.018855,196 +0.023224,196 +0.019320,196 +0.023507,196 +0.021675,196 +0.020363,198 +0.021072,198 +0.020478,198 +0.019864,198 +0.022227,198 +0.020976,198 +0.019821,198 +0.019979,198 +0.019839,198 +0.021022,198 +0.020894,198 +0.019946,198 +0.020093,198 +0.024282,198 +0.022166,198 +0.020987,198 +0.021312,198 +0.020292,198 +0.019523,198 +0.019733,198 +0.019085,198 +0.019108,198 +0.018861,198 +0.020641,198 +0.022971,198 +0.023156,198 +0.022558,198 +0.023455,198 +0.021469,198 +0.020916,198 +0.021697,198 +0.021540,198 +0.021498,198 +0.022028,198 +0.023256,198 +0.021457,198 +0.021465,198 +0.020630,198 +0.021839,198 +0.020525,198 +0.020847,198 +0.020563,198 +0.020045,198 +0.020640,198 +0.020792,198 +0.020395,198 +0.019915,198 +0.019510,198 +0.019546,198 +0.018955,198 +0.019296,198 +0.018956,198 +0.018959,198 +0.019419,198 +0.021557,198 +0.024834,198 +0.020640,198 +0.019464,198 +0.019883,198 +0.020924,198 +0.020797,198 +0.019979,198 +0.020777,198 +0.020949,198 +0.020096,198 +0.020566,198 +0.020725,198 +0.020589,198 +0.020503,198 +0.021146,198 +0.020854,198 +0.020709,198 +0.020673,198 +0.021265,198 +0.020957,198 +0.020087,198 +0.020293,198 +0.020254,198 +0.020485,198 +0.020327,198 +0.019938,198 +0.019418,198 +0.020064,198 +0.019959,198 +0.020235,198 +0.019863,198 +0.019784,198 +0.019847,198 +0.019759,198 +0.019440,198 +0.019175,198 +0.019037,198 +0.019055,198 +0.019500,198 +0.018947,198 +0.018935,198 +0.018942,198 +0.019043,198 +0.019386,198 +0.018894,198 +0.019847,200 +0.019664,200 +0.019531,200 +0.019984,200 +0.019496,200 +0.019535,200 +0.019523,200 +0.019396,200 +0.019900,200 +0.019467,200 +0.019590,200 +0.019588,200 +0.019606,200 +0.019987,200 +0.020046,200 +0.019704,200 +0.019461,200 +0.020299,200 +0.020112,200 +0.019736,200 +0.019486,200 +0.019468,200 +0.019677,200 +0.019764,200 +0.020011,200 +0.019543,200 +0.019450,200 +0.019493,200 +0.019740,200 +0.019989,200 +0.019563,200 +0.019551,200 +0.019500,200 +0.019565,200 +0.020163,200 +0.019851,200 +0.019784,200 +0.019433,200 +0.019716,200 +0.020197,200 +0.019575,200 +0.019520,200 +0.019471,200 +0.019425,200 +0.020289,200 +0.019476,200 +0.019521,200 +0.019553,200 +0.019613,200 +0.020180,200 +0.019593,200 +0.019575,200 +0.019641,200 +0.019589,200 +0.020003,200 +0.019793,200 +0.019558,200 +0.019446,200 +0.019542,200 +0.019870,200 +0.019855,200 +0.020083,200 +0.019634,200 +0.019726,200 +0.020650,200 +0.019880,200 +0.019689,200 +0.020130,200 +0.019559,200 +0.019814,200 +0.019751,200 +0.019683,200 +0.019536,200 +0.019511,200 +0.019739,200 +0.019761,200 +0.019844,200 +0.019614,200 +0.019510,200 +0.019615,200 +0.019933,200 +0.019595,200 +0.019627,200 +0.019514,200 +0.019771,200 +0.019989,200 +0.019759,200 +0.019605,200 +0.019446,200 +0.019555,200 +0.020018,200 +0.019672,200 +0.019454,200 +0.019554,200 +0.019475,200 +0.019982,200 +0.019757,200 +0.019448,200 +0.019456,200 +0.019556,200 +0.020752,202 +0.020315,202 +0.020130,202 +0.020352,202 +0.020185,202 +0.020527,202 +0.020467,202 +0.020032,202 +0.020118,202 +0.020047,202 +0.020468,202 +0.020382,202 +0.020043,202 +0.020195,202 +0.020701,202 +0.022772,202 +0.020800,202 +0.020752,202 +0.020241,202 +0.020193,202 +0.020553,202 +0.021345,202 +0.021025,202 +0.021084,202 +0.021334,202 +0.021501,202 +0.021238,202 +0.020361,202 +0.020826,202 +0.020559,202 +0.021365,202 +0.021705,202 +0.021215,202 +0.020839,202 +0.021010,202 +0.024230,202 +0.020649,202 +0.020775,202 +0.020427,202 +0.021548,202 +0.020331,202 +0.020407,202 +0.020270,202 +0.020106,202 +0.020695,202 +0.022353,202 +0.020113,202 +0.020133,202 +0.020351,202 +0.020511,202 +0.020268,202 +0.020175,202 +0.020279,202 +0.020470,202 +0.020585,202 +0.020178,202 +0.020050,202 +0.021290,202 +0.020567,202 +0.020655,202 +0.020220,202 +0.020202,202 +0.020527,202 +0.022670,202 +0.021468,202 +0.020876,202 +0.022385,202 +0.032710,202 +0.039798,202 +0.023425,202 +0.021605,202 +0.023522,202 +0.021182,202 +0.020169,202 +0.020112,202 +0.020041,202 +0.021666,202 +0.020232,202 +0.020173,202 +0.021271,202 +0.022316,202 +0.022846,202 +0.021547,202 +0.023117,202 +0.022271,202 +0.023128,202 +0.024963,202 +0.022957,202 +0.025744,202 +0.023609,202 +0.021734,202 +0.021805,202 +0.021457,202 +0.021720,202 +0.024516,202 +0.022754,202 +0.023032,202 +0.021576,202 +0.022953,202 +0.020970,202 +0.021015,204 +0.020775,204 +0.020687,204 +0.025122,204 +0.020993,204 +0.020820,204 +0.020792,204 +0.020859,204 +0.030238,204 +0.025164,204 +0.026316,204 +0.023593,204 +0.025047,204 +0.023127,204 +0.022618,204 +0.022424,204 +0.022037,204 +0.022084,204 +0.021993,204 +0.022581,204 +0.021904,204 +0.021925,204 +0.022160,204 +0.022226,204 +0.022588,204 +0.028373,204 +0.022144,204 +0.023337,204 +0.023259,204 +0.022549,204 +0.023086,204 +0.023397,204 +0.022853,204 +0.028375,204 +0.023074,204 +0.022656,204 +0.022478,204 +0.022516,204 +0.025986,204 +0.020992,204 +0.020852,204 +0.020867,204 +0.025466,204 +0.021012,204 +0.020711,204 +0.020913,204 +0.021363,204 +0.027080,204 +0.022212,204 +0.021433,204 +0.020768,204 +0.025439,204 +0.021289,204 +0.023418,204 +0.026657,204 +0.022670,204 +0.023941,204 +0.023481,204 +0.025152,204 +0.022343,204 +0.023359,204 +0.023745,204 +0.023200,204 +0.022828,204 +0.023002,204 +0.022384,204 +0.022177,204 +0.022080,204 +0.021990,204 +0.022732,204 +0.022659,204 +0.023318,204 +0.022884,204 +0.022393,204 +0.023143,204 +0.023760,204 +0.024075,204 +0.022287,204 +0.022691,204 +0.021653,204 +0.021537,204 +0.020961,204 +0.022480,204 +0.020901,204 +0.022064,204 +0.024598,204 +0.028897,204 +0.024398,204 +0.022677,204 +0.022657,204 +0.022089,204 +0.021633,204 +0.022691,204 +0.024345,204 +0.022917,204 +0.024167,204 +0.022165,204 +0.022049,204 +0.022787,204 +0.024235,204 +0.023591,206 +0.021978,206 +0.021865,206 +0.021844,206 +0.022636,206 +0.022349,206 +0.021367,206 +0.021330,206 +0.022050,206 +0.021592,206 +0.021232,206 +0.021594,206 +0.022438,206 +0.022745,206 +0.022449,206 +0.021736,206 +0.021858,206 +0.022040,206 +0.021889,206 +0.021391,206 +0.021359,206 +0.021393,206 +0.021920,206 +0.021935,206 +0.022188,206 +0.021793,206 +0.021650,206 +0.022413,206 +0.021509,206 +0.021635,206 +0.022036,206 +0.023080,206 +0.021413,206 +0.021489,206 +0.021287,206 +0.021372,206 +0.022243,206 +0.022011,206 +0.021568,206 +0.022526,206 +0.022047,206 +0.021898,206 +0.021383,206 +0.021404,206 +0.021395,206 +0.021860,206 +0.021563,206 +0.021460,206 +0.021246,206 +0.021360,206 +0.022058,206 +0.021339,206 +0.022831,206 +0.021602,206 +0.021552,206 +0.021860,206 +0.021494,206 +0.021493,206 +0.021341,206 +0.022150,206 +0.023089,206 +0.023404,206 +0.023811,206 +0.023137,206 +0.023687,206 +0.023525,206 +0.022122,206 +0.021608,206 +0.022198,206 +0.021359,206 +0.022185,206 +0.021756,206 +0.021619,206 +0.021804,206 +0.021404,206 +0.021511,206 +0.021431,206 +0.022140,206 +0.021525,206 +0.021277,206 +0.021323,206 +0.021513,206 +0.022128,206 +0.021489,206 +0.023350,206 +0.021501,206 +0.022080,206 +0.021529,206 +0.021403,206 +0.021514,206 +0.021426,206 +0.022244,206 +0.021401,206 +0.021319,206 +0.022172,206 +0.022706,206 +0.022246,206 +0.021965,206 +0.021504,206 +0.022424,206 +0.023821,208 +0.023756,208 +0.022642,208 +0.025208,208 +0.023727,208 +0.022863,208 +0.022806,208 +0.022508,208 +0.022684,208 +0.022997,208 +0.023056,208 +0.023113,208 +0.022604,208 +0.023785,208 +0.029033,208 +0.024733,208 +0.024317,208 +0.024554,208 +0.024225,208 +0.025887,208 +0.024642,208 +0.025190,208 +0.024142,208 +0.024546,208 +0.022975,208 +0.023746,208 +0.023763,208 +0.026540,208 +0.024444,208 +0.023780,208 +0.023109,208 +0.022683,208 +0.022263,208 +0.021896,208 +0.022531,208 +0.025044,208 +0.023229,208 +0.022732,208 +0.023278,208 +0.022880,208 +0.024107,208 +0.024268,208 +0.024868,208 +0.025449,208 +0.024925,208 +0.024397,208 +0.025436,208 +0.025071,208 +0.025322,208 +0.024356,208 +0.026775,208 +0.024093,208 +0.026201,208 +0.025142,208 +0.027131,208 +0.024924,208 +0.025702,208 +0.027040,208 +0.024313,208 +0.024575,208 +0.024335,208 +0.024293,208 +0.023861,208 +0.023234,208 +0.022936,208 +0.022000,208 +0.022155,208 +0.023588,208 +0.024183,208 +0.022588,208 +0.021907,208 +0.022326,208 +0.022018,208 +0.021848,208 +0.021839,208 +0.022088,208 +0.022409,208 +0.021985,208 +0.021948,208 +0.021927,208 +0.022259,208 +0.021915,208 +0.022055,208 +0.021779,208 +0.021774,208 +0.022601,208 +0.022210,208 +0.021924,208 +0.022733,208 +0.023556,208 +0.025291,208 +0.024384,208 +0.024610,208 +0.028181,208 +0.024314,208 +0.024542,208 +0.024557,208 +0.023488,208 +0.023457,208 +0.023533,208 +0.024409,210 +0.024628,210 +0.023856,210 +0.023852,210 +0.023106,210 +0.023128,210 +0.023243,210 +0.023334,210 +0.022987,210 +0.022623,210 +0.022790,210 +0.022955,210 +0.022740,210 +0.022705,210 +0.022813,210 +0.022882,210 +0.023087,210 +0.022539,210 +0.022487,210 +0.023094,210 +0.022589,210 +0.022518,210 +0.022693,210 +0.022863,210 +0.022825,210 +0.022861,210 +0.022547,210 +0.022669,210 +0.022950,210 +0.022901,210 +0.023057,210 +0.022649,210 +0.023103,210 +0.022778,210 +0.022605,210 +0.023652,210 +0.024703,210 +0.025658,210 +0.024492,210 +0.023719,210 +0.024246,210 +0.024166,210 +0.024462,210 +0.023157,210 +0.023018,210 +0.024428,210 +0.026391,210 +0.024282,210 +0.023907,210 +0.025583,210 +0.023684,210 +0.023131,210 +0.022876,210 +0.024564,210 +0.022791,210 +0.022825,210 +0.022587,210 +0.024037,210 +0.023186,210 +0.022641,210 +0.022504,210 +0.022791,210 +0.024149,210 +0.022694,210 +0.022492,210 +0.022470,210 +0.024329,210 +0.023516,210 +0.022771,210 +0.022512,210 +0.023819,210 +0.023292,210 +0.022586,210 +0.022538,210 +0.022760,210 +0.023383,210 +0.023399,210 +0.022960,210 +0.022517,210 +0.023320,210 +0.022742,210 +0.022517,210 +0.022731,210 +0.022745,210 +0.023166,210 +0.023166,210 +0.022732,210 +0.023988,210 +0.024082,210 +0.024657,210 +0.024366,210 +0.027884,210 +0.024597,210 +0.025377,210 +0.023830,210 +0.023895,210 +0.024427,210 +0.023678,210 +0.025564,210 +0.024984,210 +0.028780,212 +0.029890,212 +0.027592,212 +0.026942,212 +0.030883,212 +0.027178,212 +0.028512,212 +0.039651,212 +0.028242,212 +0.028991,212 +0.026668,212 +0.027360,212 +0.026401,212 +0.029501,212 +0.026908,212 +0.027813,212 +0.027291,212 +0.026234,212 +0.027539,212 +0.028791,212 +0.027450,212 +0.025350,212 +0.023689,212 +0.023496,212 +0.023258,212 +0.023522,212 +0.024155,212 +0.024813,212 +0.026071,212 +0.027582,212 +0.025773,212 +0.024817,212 +0.023433,212 +0.023553,212 +0.023926,212 +0.024485,212 +0.024293,212 +0.024646,212 +0.029259,212 +0.025543,212 +0.024065,212 +0.024499,212 +0.030856,212 +0.027562,212 +0.024638,212 +0.023682,212 +0.023831,212 +0.023276,212 +0.023219,212 +0.023363,212 +0.023826,212 +0.023578,212 +0.023316,212 +0.023402,212 +0.023999,212 +0.023216,212 +0.023572,212 +0.023125,212 +0.023700,212 +0.025048,212 +0.024970,212 +0.024854,212 +0.024401,212 +0.025642,212 +0.025771,212 +0.025708,212 +0.024839,212 +0.025416,212 +0.023692,212 +0.023449,212 +0.024185,212 +0.024160,212 +0.023241,212 +0.025328,212 +0.023427,212 +0.024180,212 +0.023727,212 +0.023739,212 +0.023470,212 +0.023785,212 +0.023785,212 +0.026845,212 +0.026689,212 +0.032715,212 +0.027248,212 +0.026124,212 +0.025759,212 +0.025625,212 +0.024113,212 +0.023480,212 +0.023333,212 +0.023605,212 +0.023243,212 +0.023336,212 +0.023319,212 +0.023747,212 +0.023551,212 +0.023361,212 +0.024556,212 +0.024892,212 +0.026700,214 +0.025213,214 +0.026438,214 +0.025136,214 +0.026425,214 +0.025937,214 +0.025493,214 +0.024801,214 +0.024645,214 +0.025036,214 +0.024143,214 +0.024138,214 +0.024073,214 +0.023911,214 +0.024143,214 +0.024270,214 +0.024084,214 +0.024074,214 +0.023962,214 +0.024107,214 +0.024537,214 +0.024517,214 +0.024748,214 +0.024388,214 +0.024160,214 +0.024152,214 +0.023880,214 +0.024127,214 +0.024769,214 +0.024106,214 +0.023967,214 +0.024425,214 +0.025422,214 +0.024347,214 +0.024800,214 +0.023930,214 +0.024677,214 +0.023916,214 +0.024202,214 +0.023872,214 +0.024607,214 +0.023927,214 +0.023970,214 +0.024261,214 +0.025395,214 +0.024604,214 +0.024098,214 +0.024544,214 +0.024544,214 +0.024166,214 +0.023802,214 +0.023982,214 +0.024028,214 +0.024306,214 +0.024041,214 +0.024064,214 +0.024016,214 +0.024493,214 +0.024140,214 +0.023797,214 +0.023974,214 +0.024329,214 +0.023998,214 +0.023922,214 +0.023908,214 +0.024607,214 +0.023883,214 +0.024193,214 +0.024173,214 +0.024611,214 +0.023901,214 +0.023930,214 +0.023932,214 +0.024221,214 +0.024181,214 +0.023771,214 +0.024193,214 +0.023987,214 +0.024391,214 +0.023819,214 +0.023993,214 +0.023855,214 +0.024511,214 +0.023991,214 +0.023807,214 +0.024126,214 +0.024321,214 +0.024102,214 +0.023873,214 +0.023921,214 +0.024535,214 +0.024155,214 +0.023932,214 +0.024392,214 +0.024515,214 +0.023947,214 +0.024139,214 +0.023944,214 +0.027535,214 +0.025248,214 +0.025484,216 +0.025123,216 +0.030448,216 +0.025789,216 +0.024894,216 +0.025904,216 +0.026197,216 +0.024432,216 +0.024402,216 +0.024708,216 +0.026282,216 +0.024615,216 +0.024535,216 +0.024753,216 +0.026081,216 +0.024561,216 +0.024475,216 +0.024744,216 +0.025945,216 +0.024761,216 +0.024542,216 +0.024724,216 +0.025159,216 +0.024840,216 +0.024601,216 +0.024741,216 +0.025042,216 +0.024965,216 +0.024499,216 +0.024812,216 +0.024926,216 +0.024801,216 +0.024435,216 +0.024676,216 +0.024981,216 +0.025004,216 +0.024671,216 +0.024859,216 +0.025062,216 +0.024994,216 +0.024513,216 +0.024685,216 +0.024627,216 +0.025029,216 +0.024553,216 +0.024694,216 +0.024752,216 +0.024954,216 +0.024574,216 +0.024582,216 +0.024523,216 +0.025109,216 +0.024530,216 +0.024503,216 +0.024665,216 +0.024862,216 +0.024782,216 +0.024510,216 +0.024871,216 +0.024840,216 +0.024585,216 +0.024626,216 +0.024589,216 +0.025097,216 +0.024512,216 +0.024515,216 +0.024539,216 +0.025020,216 +0.024724,216 +0.025950,216 +0.025361,216 +0.024966,216 +0.024595,216 +0.024620,216 +0.024548,216 +0.024962,216 +0.024853,216 +0.024712,216 +0.025908,216 +0.024977,216 +0.024504,216 +0.024641,216 +0.024624,216 +0.024878,216 +0.024699,216 +0.024645,216 +0.024614,216 +0.024994,216 +0.024638,216 +0.024640,216 +0.024676,216 +0.024891,216 +0.024802,216 +0.024641,216 +0.024596,216 +0.025361,216 +0.024752,216 +0.024759,216 +0.024553,216 +0.025133,216 +0.026054,218 +0.025362,218 +0.025420,218 +0.025677,218 +0.025630,218 +0.025347,218 +0.025488,218 +0.025886,218 +0.025560,218 +0.025564,218 +0.025548,218 +0.025869,218 +0.025400,218 +0.025229,218 +0.025425,218 +0.025760,218 +0.025523,218 +0.025417,218 +0.025613,218 +0.025950,218 +0.025742,218 +0.026214,218 +0.025615,218 +0.025978,218 +0.025597,218 +0.025436,218 +0.025336,218 +0.025929,218 +0.025384,218 +0.025450,218 +0.025279,218 +0.025758,218 +0.026162,218 +0.026038,218 +0.025452,218 +0.025823,218 +0.025876,218 +0.025534,218 +0.025492,218 +0.025908,218 +0.025268,218 +0.025463,218 +0.025701,218 +0.025900,218 +0.025401,218 +0.025399,218 +0.025506,218 +0.026239,218 +0.025726,218 +0.025523,218 +0.025512,218 +0.025693,218 +0.025337,218 +0.025391,218 +0.025715,218 +0.025980,218 +0.025722,218 +0.025406,218 +0.025888,218 +0.025402,218 +0.025444,218 +0.025225,218 +0.025808,218 +0.025480,218 +0.025621,218 +0.025296,218 +0.025849,218 +0.025335,218 +0.025513,218 +0.025507,218 +0.025734,218 +0.025532,218 +0.025320,218 +0.025351,218 +0.026005,218 +0.025512,218 +0.025464,218 +0.025527,218 +0.025952,218 +0.025491,218 +0.025561,218 +0.025331,218 +0.026120,218 +0.025413,218 +0.025770,218 +0.025433,218 +0.026001,218 +0.025613,218 +0.030177,218 +0.025411,218 +0.025951,218 +0.025443,218 +0.025476,218 +0.025370,218 +0.025936,218 +0.025675,218 +0.025550,218 +0.025630,218 +0.025618,218 +0.025579,218 +0.026034,220 +0.026495,220 +0.026471,220 +0.026135,220 +0.026024,220 +0.026502,220 +0.026192,220 +0.026208,220 +0.025793,220 +0.026485,220 +0.026102,220 +0.026000,220 +0.025925,220 +0.026730,220 +0.026285,220 +0.026114,220 +0.026022,220 +0.026625,220 +0.026283,220 +0.025947,220 +0.026193,220 +0.026647,220 +0.026127,220 +0.026263,220 +0.026584,220 +0.026220,220 +0.026227,220 +0.025974,220 +0.026622,220 +0.026000,220 +0.026058,220 +0.025875,220 +0.026576,220 +0.026332,220 +0.026333,220 +0.026040,220 +0.026581,220 +0.026081,220 +0.025933,220 +0.025890,220 +0.026702,220 +0.026128,220 +0.026023,220 +0.026261,220 +0.026445,220 +0.026108,220 +0.025919,220 +0.026601,220 +0.026105,220 +0.026200,220 +0.025909,220 +0.026559,220 +0.026029,220 +0.026357,220 +0.025926,220 +0.026565,220 +0.026243,220 +0.026013,220 +0.026061,220 +0.026618,220 +0.026076,220 +0.026005,220 +0.026074,220 +0.026654,220 +0.027963,220 +0.026178,220 +0.026506,220 +0.026037,220 +0.026183,220 +0.025942,220 +0.026730,220 +0.026153,220 +0.026348,220 +0.025951,220 +0.026421,220 +0.026054,220 +0.026047,220 +0.025945,220 +0.026649,220 +0.026028,220 +0.026105,220 +0.025931,220 +0.026659,220 +0.026037,220 +0.025900,220 +0.026170,220 +0.026410,220 +0.027071,220 +0.029181,220 +0.029791,220 +0.032931,220 +0.029965,220 +0.028955,220 +0.028804,220 +0.028369,220 +0.033877,220 +0.035271,220 +0.029037,220 +0.030304,220 +0.028764,220 +0.032144,222 +0.030095,222 +0.029826,222 +0.030025,222 +0.030439,222 +0.029537,222 +0.030335,222 +0.030394,222 +0.031119,222 +0.030428,222 +0.029719,222 +0.030357,222 +0.030121,222 +0.030463,222 +0.030936,222 +0.029935,222 +0.030507,222 +0.030769,222 +0.030753,222 +0.031559,222 +0.030556,222 +0.028491,222 +0.038898,222 +0.031032,222 +0.032999,222 +0.030822,222 +0.031671,222 +0.027785,222 +0.028481,222 +0.029536,222 +0.028762,222 +0.029051,222 +0.028534,222 +0.028510,222 +0.028585,222 +0.028222,222 +0.027511,222 +0.026921,222 +0.027167,222 +0.028879,222 +0.029678,222 +0.029246,222 +0.028604,222 +0.027927,222 +0.027112,222 +0.026937,222 +0.027582,222 +0.027922,222 +0.028084,222 +0.027279,222 +0.032112,222 +0.028924,222 +0.028764,222 +0.028468,222 +0.028902,222 +0.029415,222 +0.028632,222 +0.028597,222 +0.028101,222 +0.027938,222 +0.027737,222 +0.027592,222 +0.027508,222 +0.026710,222 +0.027587,222 +0.027275,222 +0.026938,222 +0.026820,222 +0.027447,222 +0.026860,222 +0.027257,222 +0.027210,222 +0.027288,222 +0.026897,222 +0.026723,222 +0.027392,222 +0.027271,222 +0.026700,222 +0.027218,222 +0.027228,222 +0.026802,222 +0.026738,222 +0.026919,222 +0.027479,222 +0.026767,222 +0.027356,222 +0.028218,222 +0.027190,222 +0.026627,222 +0.026783,222 +0.029107,222 +0.027437,222 +0.027101,222 +0.027245,222 +0.027957,222 +0.027147,222 +0.026625,222 +0.027619,222 +0.026972,222 +0.026861,222 +0.030481,224 +0.031907,224 +0.030276,224 +0.030199,224 +0.030781,224 +0.030660,224 +0.029803,224 +0.029641,224 +0.030029,224 +0.030143,224 +0.030204,224 +0.029160,224 +0.028092,224 +0.027552,224 +0.028139,224 +0.027974,224 +0.027323,224 +0.027517,224 +0.028085,224 +0.030571,224 +0.030403,224 +0.029997,224 +0.028308,224 +0.027460,224 +0.028766,224 +0.029718,224 +0.028819,224 +0.029245,224 +0.031629,224 +0.032029,224 +0.030914,224 +0.030517,224 +0.030474,224 +0.030768,224 +0.031882,224 +0.031387,224 +0.030420,224 +0.031337,224 +0.030044,224 +0.034327,224 +0.030854,224 +0.030328,224 +0.033406,224 +0.031817,224 +0.030631,224 +0.032101,224 +0.033730,224 +0.029826,224 +0.031530,224 +0.031753,224 +0.033048,224 +0.032152,224 +0.030505,224 +0.029881,224 +0.031639,224 +0.029774,224 +0.028924,224 +0.028632,224 +0.027792,224 +0.029400,224 +0.030336,224 +0.030603,224 +0.028470,224 +0.028010,224 +0.027968,224 +0.027848,224 +0.034007,224 +0.034008,224 +0.032426,224 +0.031746,224 +0.038141,224 +0.032608,224 +0.031625,224 +0.034657,224 +0.038820,224 +0.033090,224 +0.033139,224 +0.031559,224 +0.032271,224 +0.030568,224 +0.032382,224 +0.030899,224 +0.030876,224 +0.031431,224 +0.032091,224 +0.030831,224 +0.033164,224 +0.031260,224 +0.032525,224 +0.030558,224 +0.031484,224 +0.032766,224 +0.040871,224 +0.034256,224 +0.029736,224 +0.030002,224 +0.030190,224 +0.031873,224 +0.035653,224 +0.030355,224 +0.038359,226 +0.032737,226 +0.032086,226 +0.031910,226 +0.033470,226 +0.035968,226 +0.035538,226 +0.031602,226 +0.031934,226 +0.033544,226 +0.031603,226 +0.032140,226 +0.030537,226 +0.029187,226 +0.033465,226 +0.032267,226 +0.028616,226 +0.029906,226 +0.030404,226 +0.031123,226 +0.030498,226 +0.029185,226 +0.029922,226 +0.029873,226 +0.029993,226 +0.029503,226 +0.029013,226 +0.029772,226 +0.029598,226 +0.029569,226 +0.029438,226 +0.029786,226 +0.029251,226 +0.029219,226 +0.029285,226 +0.028921,226 +0.029585,226 +0.029455,226 +0.030155,226 +0.037745,226 +0.048594,226 +0.035934,226 +0.029589,226 +0.030131,226 +0.031797,226 +0.032539,226 +0.037528,226 +0.030358,226 +0.030639,226 +0.033117,226 +0.030044,226 +0.032242,226 +0.055458,226 +0.031261,226 +0.030087,226 +0.030046,226 +0.030232,226 +0.029933,226 +0.033404,226 +0.031345,226 +0.029815,226 +0.034788,226 +0.030248,226 +0.031458,226 +0.030393,226 +0.029576,226 +0.034623,226 +0.031584,226 +0.030099,226 +0.032214,226 +0.038271,226 +0.053570,226 +0.032201,226 +0.037901,226 +0.032488,226 +0.040133,226 +0.047461,226 +0.054163,226 +0.034901,226 +0.029900,226 +0.029762,226 +0.033021,226 +0.033003,226 +0.038823,226 +0.037308,226 +0.032131,226 +0.034172,226 +0.033802,226 +0.030919,226 +0.031852,226 +0.033025,226 +0.031556,226 +0.032073,226 +0.033406,226 +0.033584,226 +0.032928,226 +0.038199,226 +0.033780,226 +0.038584,226 +0.055719,226 +0.058413,228 +0.035285,228 +0.035209,228 +0.037280,228 +0.033502,228 +0.032071,228 +0.035548,228 +0.034351,228 +0.036300,228 +0.033368,228 +0.032850,228 +0.034856,228 +0.031111,228 +0.031256,228 +0.032246,228 +0.032399,228 +0.030678,228 +0.032127,228 +0.034021,228 +0.033264,228 +0.035448,228 +0.033460,228 +0.032239,228 +0.034237,228 +0.033503,228 +0.035946,228 +0.038068,228 +0.037110,228 +0.032372,228 +0.034622,228 +0.043915,228 +0.038023,228 +0.032146,228 +0.033678,228 +0.035175,228 +0.039960,228 +0.038647,228 +0.032987,228 +0.034119,228 +0.031473,228 +0.034447,228 +0.037187,228 +0.034195,228 +0.053888,228 +0.057387,228 +0.041434,228 +0.035605,228 +0.037209,228 +0.038886,228 +0.038520,228 +0.037813,228 +0.038613,228 +0.037488,228 +0.035828,228 +0.055271,228 +0.044974,228 +0.036878,228 +0.033910,228 +0.040586,228 +0.034270,228 +0.035660,228 +0.037039,228 +0.035461,228 +0.033405,228 +0.034598,228 +0.033075,228 +0.031569,228 +0.029700,228 +0.028999,228 +0.028899,228 +0.030214,228 +0.029377,228 +0.029040,228 +0.028972,228 +0.030507,228 +0.030097,228 +0.029211,228 +0.031429,228 +0.031037,228 +0.030696,228 +0.032641,228 +0.030338,228 +0.030568,228 +0.035138,228 +0.033369,228 +0.033579,228 +0.032370,228 +0.033078,228 +0.033028,228 +0.036455,228 +0.031926,228 +0.037841,228 +0.043416,228 +0.034424,228 +0.035560,228 +0.035623,228 +0.033878,228 +0.034861,228 +0.040343,228 +0.031714,228 +0.031521,230 +0.032262,230 +0.031759,230 +0.031238,230 +0.040024,230 +0.030795,230 +0.030423,230 +0.037331,230 +0.034220,230 +0.038911,230 +0.033386,230 +0.030560,230 +0.032715,230 +0.032480,230 +0.032481,230 +0.032610,230 +0.031889,230 +0.029772,230 +0.031411,230 +0.036283,230 +0.035074,230 +0.031736,230 +0.032945,230 +0.033298,230 +0.035190,230 +0.035525,230 +0.033094,230 +0.030818,230 +0.030266,230 +0.030043,230 +0.033915,230 +0.033520,230 +0.043449,230 +0.031992,230 +0.032614,230 +0.030324,230 +0.029697,230 +0.031615,230 +0.029970,230 +0.029960,230 +0.030578,230 +0.030815,230 +0.029851,230 +0.029909,230 +0.031756,230 +0.030288,230 +0.029887,230 +0.031984,230 +0.030395,230 +0.030012,230 +0.031443,230 +0.030140,230 +0.029813,230 +0.029760,230 +0.030528,230 +0.031063,230 +0.030089,230 +0.030302,230 +0.031332,230 +0.030670,230 +0.030580,230 +0.030771,230 +0.029953,230 +0.029818,230 +0.030290,230 +0.029702,230 +0.029878,230 +0.030488,230 +0.029758,230 +0.029761,230 +0.030089,230 +0.029880,230 +0.029779,230 +0.029914,230 +0.030102,230 +0.030568,230 +0.029937,230 +0.040401,230 +0.031918,230 +0.033614,230 +0.033388,230 +0.031643,230 +0.033828,230 +0.033263,230 +0.032154,230 +0.037540,230 +0.031902,230 +0.031859,230 +0.031949,230 +0.032026,230 +0.033004,230 +0.033935,230 +0.032172,230 +0.030865,230 +0.034507,230 +0.031688,230 +0.030815,230 +0.031229,230 +0.032014,230 +0.031126,230 +0.032550,232 +0.031897,232 +0.031908,232 +0.035073,232 +0.038418,232 +0.041864,232 +0.035232,232 +0.033638,232 +0.037859,232 +0.036304,232 +0.041679,232 +0.037868,232 +0.035952,232 +0.034724,232 +0.035198,232 +0.037757,232 +0.048921,232 +0.045694,232 +0.034858,232 +0.034677,232 +0.037713,232 +0.035391,232 +0.034319,232 +0.035481,232 +0.031987,232 +0.032051,232 +0.036022,232 +0.032238,232 +0.032866,232 +0.036448,232 +0.037238,232 +0.036668,232 +0.034088,232 +0.036922,232 +0.035981,232 +0.035254,232 +0.040008,232 +0.036387,232 +0.036067,232 +0.035025,232 +0.040029,232 +0.035266,232 +0.035036,232 +0.033987,232 +0.033387,232 +0.033578,232 +0.035668,232 +0.033234,232 +0.032961,232 +0.044879,232 +0.034288,232 +0.036545,232 +0.037218,232 +0.060757,232 +0.052725,232 +0.059088,232 +0.046550,232 +0.035530,232 +0.037320,232 +0.035810,232 +0.037426,232 +0.038875,232 +0.039483,232 +0.036936,232 +0.039523,232 +0.035185,232 +0.036760,232 +0.039975,232 +0.033352,232 +0.034196,232 +0.038098,232 +0.035772,232 +0.034154,232 +0.046065,232 +0.036488,232 +0.036674,232 +0.032738,232 +0.040295,232 +0.034094,232 +0.032441,232 +0.034736,232 +0.039548,232 +0.043287,232 +0.035976,232 +0.034000,232 +0.039252,232 +0.036005,232 +0.035834,232 +0.038083,232 +0.042782,232 +0.034514,232 +0.036371,232 +0.037417,232 +0.036355,232 +0.035273,232 +0.034276,232 +0.034102,232 +0.034029,232 +0.032980,232 +0.033573,232 +0.038926,234 +0.040618,234 +0.040820,234 +0.037968,234 +0.038272,234 +0.042271,234 +0.049123,234 +0.034518,234 +0.038881,234 +0.036649,234 +0.034415,234 +0.036345,234 +0.042409,234 +0.046327,234 +0.040199,234 +0.035942,234 +0.033875,234 +0.034114,234 +0.032950,234 +0.034286,234 +0.033797,234 +0.033200,234 +0.034005,234 +0.034584,234 +0.033112,234 +0.035728,234 +0.034922,234 +0.034962,234 +0.033979,234 +0.037586,234 +0.032872,234 +0.032678,234 +0.032931,234 +0.031773,234 +0.031569,234 +0.032165,234 +0.031644,234 +0.031421,234 +0.031764,234 +0.032788,234 +0.031787,234 +0.032033,234 +0.032698,234 +0.034101,234 +0.032329,234 +0.031548,234 +0.031429,234 +0.031976,234 +0.031711,234 +0.031761,234 +0.031984,234 +0.032145,234 +0.032423,234 +0.031948,234 +0.032846,234 +0.032110,234 +0.031985,234 +0.032124,234 +0.032101,234 +0.032569,234 +0.031868,234 +0.031619,234 +0.031396,234 +0.031854,234 +0.031510,234 +0.031874,234 +0.032488,234 +0.031960,234 +0.032351,234 +0.032967,234 +0.031426,234 +0.031421,234 +0.032175,234 +0.032020,234 +0.031694,234 +0.031361,234 +0.032057,234 +0.031503,234 +0.031530,234 +0.031835,234 +0.031568,234 +0.032580,234 +0.033096,234 +0.031693,234 +0.031557,234 +0.031821,234 +0.031663,234 +0.031552,234 +0.031997,234 +0.031551,234 +0.032328,234 +0.038241,234 +0.033073,234 +0.034025,234 +0.041936,234 +0.034898,234 +0.034670,234 +0.033454,234 +0.032831,234 +0.032554,234 +0.034014,236 +0.042267,236 +0.033598,236 +0.037150,236 +0.037716,236 +0.042123,236 +0.035850,236 +0.033674,236 +0.034933,236 +0.046021,236 +0.036961,236 +0.034046,236 +0.034640,236 +0.038851,236 +0.038601,236 +0.037612,236 +0.038283,236 +0.050662,236 +0.042437,236 +0.035757,236 +0.042565,236 +0.042066,236 +0.036041,236 +0.045430,236 +0.046189,236 +0.035335,236 +0.035933,236 +0.037539,236 +0.035753,236 +0.038120,236 +0.038759,236 +0.035861,236 +0.037570,236 +0.037263,236 +0.037237,236 +0.034930,236 +0.036549,236 +0.038395,236 +0.035150,236 +0.034880,236 +0.056546,236 +0.065572,236 +0.064669,236 +0.043473,236 +0.038197,236 +0.036195,236 +0.037004,236 +0.037704,236 +0.039867,236 +0.034735,236 +0.035096,236 +0.036566,236 +0.036038,236 +0.035488,236 +0.036002,236 +0.034937,236 +0.037259,236 +0.037143,236 +0.038535,236 +0.037414,236 +0.037420,236 +0.035069,236 +0.044932,236 +0.042434,236 +0.038816,236 +0.037132,236 +0.039159,236 +0.043116,236 +0.053508,236 +0.036529,236 +0.042496,236 +0.041511,236 +0.042414,236 +0.036079,236 +0.035603,236 +0.038234,236 +0.036367,236 +0.035904,236 +0.043415,236 +0.038683,236 +0.049272,236 +0.037985,236 +0.040943,236 +0.036566,236 +0.036520,236 +0.036361,236 +0.040316,236 +0.038872,236 +0.046996,236 +0.038305,236 +0.037079,236 +0.037051,236 +0.036403,236 +0.052353,236 +0.065731,236 +0.038483,236 +0.039731,236 +0.040667,236 +0.039422,236 +0.036323,236 +0.039984,238 +0.039154,238 +0.038000,238 +0.040795,238 +0.040740,238 +0.037750,238 +0.039052,238 +0.037504,238 +0.039023,238 +0.039670,238 +0.039332,238 +0.038281,238 +0.037550,238 +0.039648,238 +0.042368,238 +0.040971,238 +0.046427,238 +0.041052,238 +0.038373,238 +0.040200,238 +0.043690,238 +0.037832,238 +0.038493,238 +0.038403,238 +0.037142,238 +0.034706,238 +0.033901,238 +0.040440,238 +0.035300,238 +0.041074,238 +0.037595,238 +0.035440,238 +0.037362,238 +0.035476,238 +0.035796,238 +0.037895,238 +0.038695,238 +0.037677,238 +0.041286,238 +0.037201,238 +0.033769,238 +0.036268,238 +0.035800,238 +0.036867,238 +0.035524,238 +0.036707,238 +0.033865,238 +0.034250,238 +0.033525,238 +0.034638,238 +0.034202,238 +0.034417,238 +0.036239,238 +0.035166,238 +0.033821,238 +0.033657,238 +0.033593,238 +0.034345,238 +0.033903,238 +0.033662,238 +0.034174,238 +0.034770,238 +0.033359,238 +0.033261,238 +0.033956,238 +0.033516,238 +0.034037,238 +0.033512,238 +0.035305,238 +0.043315,238 +0.036623,238 +0.036925,238 +0.035807,238 +0.035129,238 +0.035297,238 +0.035685,238 +0.034809,238 +0.062845,238 +0.063883,238 +0.037364,238 +0.034707,238 +0.036881,238 +0.036212,238 +0.034828,238 +0.039247,238 +0.037213,238 +0.035516,238 +0.039169,238 +0.034531,238 +0.034429,238 +0.058864,238 +0.034223,238 +0.036844,238 +0.034868,238 +0.039806,238 +0.039903,238 +0.036842,238 +0.045442,238 +0.061311,238 +0.068015,238 +0.061888,240 +0.037788,240 +0.038708,240 +0.040065,240 +0.037985,240 +0.038610,240 +0.038260,240 +0.035348,240 +0.043080,240 +0.065015,240 +0.065295,240 +0.047075,240 +0.039273,240 +0.039100,240 +0.041221,240 +0.036884,240 +0.037328,240 +0.038838,240 +0.035996,240 +0.035691,240 +0.038985,240 +0.040828,240 +0.063071,240 +0.040215,240 +0.040135,240 +0.044682,240 +0.058434,240 +0.035911,240 +0.035433,240 +0.036398,240 +0.038814,240 +0.039300,240 +0.040816,240 +0.039196,240 +0.039069,240 +0.036121,240 +0.037252,240 +0.040057,240 +0.037747,240 +0.049648,240 +0.044225,240 +0.037219,240 +0.043359,240 +0.039678,240 +0.044457,240 +0.043541,240 +0.037499,240 +0.036685,240 +0.035518,240 +0.036836,240 +0.036822,240 +0.038609,240 +0.042677,240 +0.042368,240 +0.041357,240 +0.036577,240 +0.037395,240 +0.044514,240 +0.041369,240 +0.040472,240 +0.043148,240 +0.035156,240 +0.036309,240 +0.037413,240 +0.041998,240 +0.039106,240 +0.037416,240 +0.049919,240 +0.058601,240 +0.063010,240 +0.039447,240 +0.041990,240 +0.036290,240 +0.035762,240 +0.036162,240 +0.036034,240 +0.038136,240 +0.035628,240 +0.037692,240 +0.037752,240 +0.041216,240 +0.043586,240 +0.036112,240 +0.038512,240 +0.037177,240 +0.035050,240 +0.034959,240 +0.035005,240 +0.034586,240 +0.040625,240 +0.036259,240 +0.035390,240 +0.047543,240 +0.046283,240 +0.035670,240 +0.037121,240 +0.036174,240 +0.036019,240 +0.035681,240 +0.035161,240 +0.037298,242 +0.036379,242 +0.037063,242 +0.039403,242 +0.035977,242 +0.035764,242 +0.038621,242 +0.040435,242 +0.040444,242 +0.046900,242 +0.044130,242 +0.043335,242 +0.041598,242 +0.043373,242 +0.051978,242 +0.047757,242 +0.043976,242 +0.044748,242 +0.044415,242 +0.045642,242 +0.043595,242 +0.040760,242 +0.037238,242 +0.037202,242 +0.039095,242 +0.037753,242 +0.044098,242 +0.043148,242 +0.037186,242 +0.037201,242 +0.037794,242 +0.037017,242 +0.046732,242 +0.042538,242 +0.040082,242 +0.037564,242 +0.036788,242 +0.039120,242 +0.037258,242 +0.039025,242 +0.038419,242 +0.037153,242 +0.039335,242 +0.036763,242 +0.037089,242 +0.038095,242 +0.036415,242 +0.035928,242 +0.037595,242 +0.035858,242 +0.035469,242 +0.035986,242 +0.035906,242 +0.036469,242 +0.036442,242 +0.036042,242 +0.036749,242 +0.036919,242 +0.036366,242 +0.042866,242 +0.036113,242 +0.037040,242 +0.039419,242 +0.037763,242 +0.036457,242 +0.035895,242 +0.036282,242 +0.037048,242 +0.035670,242 +0.036967,242 +0.036571,242 +0.035999,242 +0.038157,242 +0.036348,242 +0.036195,242 +0.037875,242 +0.038158,242 +0.037128,242 +0.037198,242 +0.036315,242 +0.039334,242 +0.040416,242 +0.040462,242 +0.040766,242 +0.036621,242 +0.041799,242 +0.041783,242 +0.041681,242 +0.039947,242 +0.045828,242 +0.051787,242 +0.055497,242 +0.062481,242 +0.054816,242 +0.051234,242 +0.053183,242 +0.049677,242 +0.043943,242 +0.049858,242 +0.048604,242 +0.042604,244 +0.037067,244 +0.037008,244 +0.038071,244 +0.037895,244 +0.037857,244 +0.039293,244 +0.038633,244 +0.038398,244 +0.037568,244 +0.043805,244 +0.037950,244 +0.037571,244 +0.038194,244 +0.040907,244 +0.049489,244 +0.045770,244 +0.041992,244 +0.049068,244 +0.042707,244 +0.038987,244 +0.040554,244 +0.045714,244 +0.046163,244 +0.045404,244 +0.039588,244 +0.038019,244 +0.039299,244 +0.044092,244 +0.039754,244 +0.037165,244 +0.037098,244 +0.039174,244 +0.043341,244 +0.038992,244 +0.037748,244 +0.047128,244 +0.046255,244 +0.042033,244 +0.043816,244 +0.040439,244 +0.046624,244 +0.047540,244 +0.054191,244 +0.051626,244 +0.045808,244 +0.042352,244 +0.045372,244 +0.038918,244 +0.038240,244 +0.038005,244 +0.037630,244 +0.042605,244 +0.039113,244 +0.038081,244 +0.040873,244 +0.039740,244 +0.039959,244 +0.043360,244 +0.041199,244 +0.039120,244 +0.037091,244 +0.042271,244 +0.042701,244 +0.045315,244 +0.049741,244 +0.039499,244 +0.039563,244 +0.057227,244 +0.044174,244 +0.044178,244 +0.040710,244 +0.040150,244 +0.041164,244 +0.039595,244 +0.038822,244 +0.037958,244 +0.045212,244 +0.041920,244 +0.041130,244 +0.042547,244 +0.046054,244 +0.041133,244 +0.037234,244 +0.038638,244 +0.042100,244 +0.040171,244 +0.041663,244 +0.040491,244 +0.043518,244 +0.044038,244 +0.038680,244 +0.042164,244 +0.061726,244 +0.074289,244 +0.042699,244 +0.042803,244 +0.049122,244 +0.070119,244 +0.049622,244 +0.038539,246 +0.038196,246 +0.039307,246 +0.037428,246 +0.038324,246 +0.052023,246 +0.039487,246 +0.037586,246 +0.039020,246 +0.039549,246 +0.037492,246 +0.040484,246 +0.039250,246 +0.046656,246 +0.038669,246 +0.039248,246 +0.040040,246 +0.037132,246 +0.038674,246 +0.038312,246 +0.037191,246 +0.039565,246 +0.060067,246 +0.053942,246 +0.044020,246 +0.055706,246 +0.040239,246 +0.041632,246 +0.046325,246 +0.046631,246 +0.050694,246 +0.042951,246 +0.042646,246 +0.042530,246 +0.048909,246 +0.040221,246 +0.044465,246 +0.048841,246 +0.049324,246 +0.043825,246 +0.042679,246 +0.042340,246 +0.042111,246 +0.045769,246 +0.054803,246 +0.048428,246 +0.043964,246 +0.052360,246 +0.041956,246 +0.042329,246 +0.043834,246 +0.047139,246 +0.060399,246 +0.052413,246 +0.042464,246 +0.042927,246 +0.049934,246 +0.041210,246 +0.043826,246 +0.045054,246 +0.048279,246 +0.041517,246 +0.039144,246 +0.053363,246 +0.039289,246 +0.040568,246 +0.039130,246 +0.041380,246 +0.039996,246 +0.038805,246 +0.039796,246 +0.037353,246 +0.048057,246 +0.042571,246 +0.041057,246 +0.042104,246 +0.043330,246 +0.049639,246 +0.041997,246 +0.040691,246 +0.042721,246 +0.048252,246 +0.039384,246 +0.038983,246 +0.040735,246 +0.039003,246 +0.038468,246 +0.043975,246 +0.039244,246 +0.039227,246 +0.038976,246 +0.038386,246 +0.042636,246 +0.038402,246 +0.038908,246 +0.038447,246 +0.038969,246 +0.043644,246 +0.038643,246 +0.039654,246 +0.040417,248 +0.039043,248 +0.044185,248 +0.040981,248 +0.041167,248 +0.039010,248 +0.046503,248 +0.039729,248 +0.038554,248 +0.044928,248 +0.038168,248 +0.041322,248 +0.041021,248 +0.037554,248 +0.045301,248 +0.039310,248 +0.044383,248 +0.038072,248 +0.037636,248 +0.045089,248 +0.037994,248 +0.045009,248 +0.037771,248 +0.037889,248 +0.044825,248 +0.038956,248 +0.046335,248 +0.038490,248 +0.039092,248 +0.044719,248 +0.038244,248 +0.038259,248 +0.040093,248 +0.059074,248 +0.069364,248 +0.072384,248 +0.070536,248 +0.070802,248 +0.043605,248 +0.043621,248 +0.048433,248 +0.050848,248 +0.045514,248 +0.043148,248 +0.051421,248 +0.042470,248 +0.041860,248 +0.044064,248 +0.042480,248 +0.039761,248 +0.042519,248 +0.046595,248 +0.043080,248 +0.041553,248 +0.040925,248 +0.039039,248 +0.041334,248 +0.041843,248 +0.043456,248 +0.052848,248 +0.054206,248 +0.043880,248 +0.039692,248 +0.049379,248 +0.044408,248 +0.044133,248 +0.042658,248 +0.040781,248 +0.039622,248 +0.040741,248 +0.040740,248 +0.040613,248 +0.042183,248 +0.047676,248 +0.045665,248 +0.040499,248 +0.039285,248 +0.040557,248 +0.040458,248 +0.039474,248 +0.041121,248 +0.041969,248 +0.048307,248 +0.043854,248 +0.046862,248 +0.039862,248 +0.044932,248 +0.040158,248 +0.044907,248 +0.039039,248 +0.038666,248 +0.040718,248 +0.039401,248 +0.041912,248 +0.039699,248 +0.038408,248 +0.039801,248 +0.037801,248 +0.038018,248 +0.041077,248 +0.041118,250 +0.041625,250 +0.042281,250 +0.041250,250 +0.047224,250 +0.052398,250 +0.042484,250 +0.041450,250 +0.044243,250 +0.043093,250 +0.043305,250 +0.044385,250 +0.040806,250 +0.042173,250 +0.043244,250 +0.043859,250 +0.041508,250 +0.040480,250 +0.041561,250 +0.052677,250 +0.049975,250 +0.043095,250 +0.042289,250 +0.040271,250 +0.042032,250 +0.041356,250 +0.040589,250 +0.042898,250 +0.040365,250 +0.042170,250 +0.041341,250 +0.047620,250 +0.040095,250 +0.042915,250 +0.042191,250 +0.040765,250 +0.041442,250 +0.040396,250 +0.038723,250 +0.039274,250 +0.038511,250 +0.039335,250 +0.039447,250 +0.038701,250 +0.041427,250 +0.039387,250 +0.041807,250 +0.039079,250 +0.038644,250 +0.039729,250 +0.038817,250 +0.039518,250 +0.039032,250 +0.038899,250 +0.041545,250 +0.040623,250 +0.038601,250 +0.039554,250 +0.038782,250 +0.038914,250 +0.038213,250 +0.038458,250 +0.038830,250 +0.038276,250 +0.038921,250 +0.038286,250 +0.038049,250 +0.039573,250 +0.038401,250 +0.038713,250 +0.038589,250 +0.038117,250 +0.038831,250 +0.038402,250 +0.038166,250 +0.038875,250 +0.038836,250 +0.039089,250 +0.038327,250 +0.038419,250 +0.039411,250 +0.042661,250 +0.041217,250 +0.039954,250 +0.040938,250 +0.040428,250 +0.040414,250 +0.046576,250 +0.040224,250 +0.041112,250 +0.045884,250 +0.039604,250 +0.040516,250 +0.039564,250 +0.040219,250 +0.040064,250 +0.039664,250 +0.047404,250 +0.040092,250 +0.047241,250 +0.041014,252 +0.041330,252 +0.044109,252 +0.041699,252 +0.041691,252 +0.043507,252 +0.049178,252 +0.039971,252 +0.039065,252 +0.047117,252 +0.039674,252 +0.048511,252 +0.040083,252 +0.040037,252 +0.039856,252 +0.040304,252 +0.043659,252 +0.040051,252 +0.039996,252 +0.039877,252 +0.041357,252 +0.041120,252 +0.040048,252 +0.040099,252 +0.039636,252 +0.039485,252 +0.040500,252 +0.039753,252 +0.040429,252 +0.039844,252 +0.039803,252 +0.040322,252 +0.041272,252 +0.040620,252 +0.039722,252 +0.039304,252 +0.040193,252 +0.039097,252 +0.039661,252 +0.039098,252 +0.038839,252 +0.040025,252 +0.039618,252 +0.040018,252 +0.039926,252 +0.039517,252 +0.040126,252 +0.040258,252 +0.040113,252 +0.040086,252 +0.039453,252 +0.041034,252 +0.039821,252 +0.040005,252 +0.039831,252 +0.039674,252 +0.040629,252 +0.041473,252 +0.039830,252 +0.040176,252 +0.039588,252 +0.040798,252 +0.039369,252 +0.039816,252 +0.040228,252 +0.039705,252 +0.040574,252 +0.039849,252 +0.043661,252 +0.039510,252 +0.039278,252 +0.040141,252 +0.039366,252 +0.039836,252 +0.039810,252 +0.039245,252 +0.040290,252 +0.039499,252 +0.039695,252 +0.040437,252 +0.040627,252 +0.040927,252 +0.041921,252 +0.040642,252 +0.039550,252 +0.039489,252 +0.040235,252 +0.039898,252 +0.039762,252 +0.040119,252 +0.040233,252 +0.040398,252 +0.039181,252 +0.043033,252 +0.044545,252 +0.044985,252 +0.047034,252 +0.044280,252 +0.054477,252 +0.050319,252 +0.057066,254 +0.045915,254 +0.053807,254 +0.045821,254 +0.046224,254 +0.053504,254 +0.046008,254 +0.042736,254 +0.042936,254 +0.042031,254 +0.049899,254 +0.045839,254 +0.043794,254 +0.045294,254 +0.042477,254 +0.042991,254 +0.042728,254 +0.050819,254 +0.042482,254 +0.048271,254 +0.040985,254 +0.040710,254 +0.047932,254 +0.040411,254 +0.048790,254 +0.040995,254 +0.048399,254 +0.041008,254 +0.046948,254 +0.043205,254 +0.041398,254 +0.049819,254 +0.064929,254 +0.056505,254 +0.043840,254 +0.045254,254 +0.046367,254 +0.048988,254 +0.048867,254 +0.047641,254 +0.046717,254 +0.041652,254 +0.040698,254 +0.041314,254 +0.041291,254 +0.041492,254 +0.041668,254 +0.041032,254 +0.043226,254 +0.040972,254 +0.041882,254 +0.042040,254 +0.041288,254 +0.043481,254 +0.041075,254 +0.042863,254 +0.042624,254 +0.041805,254 +0.045990,254 +0.042427,254 +0.047742,254 +0.042355,254 +0.045689,254 +0.046819,254 +0.047558,254 +0.045499,254 +0.044920,254 +0.042057,254 +0.041470,254 +0.042317,254 +0.041304,254 +0.042961,254 +0.041028,254 +0.042244,254 +0.041813,254 +0.043338,254 +0.043398,254 +0.041723,254 +0.042069,254 +0.042506,254 +0.040893,254 +0.041919,254 +0.041103,254 +0.041800,254 +0.041996,254 +0.041740,254 +0.042997,254 +0.040920,254 +0.041795,254 +0.041676,254 +0.041098,254 +0.041497,254 +0.041171,254 +0.042121,254 +0.041001,254 +0.041654,254 +0.045172,254 +0.040708,254 +0.041422,254 +0.040343,254 +0.046370,256 +0.045655,256 +0.048878,256 +0.045398,256 +0.045694,256 +0.046966,256 +0.045426,256 +0.045866,256 +0.045093,256 +0.046127,256 +0.045129,256 +0.046048,256 +0.045077,256 +0.048681,256 +0.045522,256 +0.052923,256 +0.048435,256 +0.046260,256 +0.045517,256 +0.046115,256 +0.046228,256 +0.045122,256 +0.046320,256 +0.046687,256 +0.046604,256 +0.045214,256 +0.046405,256 +0.045484,256 +0.046130,256 +0.045156,256 +0.046180,256 +0.045839,256 +0.045490,256 +0.046040,256 +0.045252,256 +0.046244,256 +0.045412,256 +0.046311,256 +0.045113,256 +0.049488,256 +0.045643,256 +0.046900,256 +0.046661,256 +0.045409,256 +0.046062,256 +0.045338,256 +0.045944,256 +0.045376,256 +0.046158,256 +0.045406,256 +0.046151,256 +0.045319,256 +0.045680,256 +0.045820,256 +0.045328,256 +0.045860,256 +0.045192,256 +0.046020,256 +0.045257,256 +0.046302,256 +0.045438,256 +0.058704,256 +0.047125,256 +0.050324,256 +0.045177,256 +0.046064,256 +0.045252,256 +0.045498,256 +0.045675,256 +0.045127,256 +0.046056,256 +0.045348,256 +0.046808,256 +0.045555,256 +0.045877,256 +0.045550,256 +0.046480,256 +0.045690,256 +0.045546,256 +0.045840,256 +0.045534,256 +0.052565,256 +0.045433,256 +0.046270,256 +0.045094,256 +0.045598,256 +0.045110,256 +0.045658,256 +0.045319,256 +0.045527,256 +0.045396,256 +0.045103,256 +0.045891,256 +0.045382,256 +0.046379,256 +0.045006,256 +0.045845,256 +0.045230,256 +0.045804,256 +0.045221,256 +0.043128,258 +0.043097,258 +0.042982,258 +0.043606,258 +0.042851,258 +0.044028,258 +0.042502,258 +0.043378,258 +0.043095,258 +0.042678,258 +0.043282,258 +0.042649,258 +0.043546,258 +0.042667,258 +0.042888,258 +0.043258,258 +0.042892,258 +0.043451,258 +0.042961,258 +0.043597,258 +0.042769,258 +0.043045,258 +0.043404,258 +0.042599,258 +0.044687,258 +0.042961,258 +0.046317,258 +0.042790,258 +0.043971,258 +0.043444,258 +0.042786,258 +0.044754,258 +0.042692,258 +0.044956,258 +0.042697,258 +0.045201,258 +0.043495,258 +0.043298,258 +0.047522,258 +0.047937,258 +0.047038,258 +0.042625,258 +0.045165,258 +0.042676,258 +0.045141,258 +0.043566,258 +0.046159,258 +0.049445,258 +0.051943,258 +0.048570,258 +0.050922,258 +0.077064,258 +0.054108,258 +0.075734,258 +0.049988,258 +0.055326,258 +0.054183,258 +0.052520,258 +0.050749,258 +0.049838,258 +0.050774,258 +0.048713,258 +0.046663,258 +0.051461,258 +0.050249,258 +0.050005,258 +0.056744,258 +0.050853,258 +0.048940,258 +0.049486,258 +0.049413,258 +0.048170,258 +0.043561,258 +0.043528,258 +0.046977,258 +0.047641,258 +0.045539,258 +0.046903,258 +0.049043,258 +0.051012,258 +0.050541,258 +0.051858,258 +0.050450,258 +0.043314,258 +0.045638,258 +0.051711,258 +0.048072,258 +0.049489,258 +0.049104,258 +0.046936,258 +0.045119,258 +0.044753,258 +0.044203,258 +0.044305,258 +0.046464,258 +0.047061,258 +0.045169,258 +0.045110,258 +0.047880,258 +0.046840,258 +0.050664,260 +0.047291,260 +0.050600,260 +0.045224,260 +0.044480,260 +0.046777,260 +0.047652,260 +0.048565,260 +0.048601,260 +0.047835,260 +0.054151,260 +0.043818,260 +0.051183,260 +0.044731,260 +0.052353,260 +0.044937,260 +0.045090,260 +0.044738,260 +0.044539,260 +0.044189,260 +0.044068,260 +0.044165,260 +0.044131,260 +0.044706,260 +0.043923,260 +0.044485,260 +0.044039,260 +0.044352,260 +0.043917,260 +0.044257,260 +0.044521,260 +0.044229,260 +0.044743,260 +0.044407,260 +0.045388,260 +0.046720,260 +0.046403,260 +0.044388,260 +0.047111,260 +0.048361,260 +0.049818,260 +0.050172,260 +0.049104,260 +0.051559,260 +0.049807,260 +0.053649,260 +0.051756,260 +0.051425,260 +0.049529,260 +0.050346,260 +0.049346,260 +0.048547,260 +0.048216,260 +0.049552,260 +0.049367,260 +0.046374,260 +0.048519,260 +0.047924,260 +0.052343,260 +0.054300,260 +0.046514,260 +0.047875,260 +0.047481,260 +0.048849,260 +0.046673,260 +0.046245,260 +0.044684,260 +0.048325,260 +0.048049,260 +0.050329,260 +0.047061,260 +0.048243,260 +0.050512,260 +0.052190,260 +0.048308,260 +0.049647,260 +0.047268,260 +0.048502,260 +0.044475,260 +0.045791,260 +0.044151,260 +0.045445,260 +0.049574,260 +0.048230,260 +0.049027,260 +0.054493,260 +0.053909,260 +0.050246,260 +0.050147,260 +0.047211,260 +0.047581,260 +0.044123,260 +0.049601,260 +0.049980,260 +0.058061,260 +0.060819,260 +0.065946,260 +0.056675,260 +0.071167,260 +0.054238,260 +0.068391,262 +0.054044,262 +0.063854,262 +0.055572,262 +0.055039,262 +0.053090,262 +0.059861,262 +0.075603,262 +0.060356,262 +0.053670,262 +0.053980,262 +0.057140,262 +0.060211,262 +0.057499,262 +0.052951,262 +0.051282,262 +0.051657,262 +0.048438,262 +0.050060,262 +0.050079,262 +0.056088,262 +0.050441,262 +0.054786,262 +0.054944,262 +0.061158,262 +0.063592,262 +0.049756,262 +0.049989,262 +0.047498,262 +0.048026,262 +0.048181,262 +0.051458,262 +0.053053,262 +0.052789,262 +0.054084,262 +0.058270,262 +0.048062,262 +0.056312,262 +0.048521,262 +0.061651,262 +0.056249,262 +0.055687,262 +0.052286,262 +0.055558,262 +0.053551,262 +0.052897,262 +0.055583,262 +0.052118,262 +0.055595,262 +0.052332,262 +0.052024,262 +0.050782,262 +0.050073,262 +0.047154,262 +0.050550,262 +0.046832,262 +0.051025,262 +0.051053,262 +0.054520,262 +0.051870,262 +0.050002,262 +0.046938,262 +0.049972,262 +0.046934,262 +0.049755,262 +0.049122,262 +0.054521,262 +0.053756,262 +0.052077,262 +0.049274,262 +0.049231,262 +0.047972,262 +0.048660,262 +0.049238,262 +0.053002,262 +0.050456,262 +0.051622,262 +0.050363,262 +0.050675,262 +0.057281,262 +0.056032,262 +0.057048,262 +0.051817,262 +0.049484,262 +0.048476,262 +0.048065,262 +0.057571,262 +0.053732,262 +0.050675,262 +0.048509,262 +0.049214,262 +0.047276,262 +0.053407,262 +0.056771,262 +0.063283,262 +0.055163,262 +0.054900,262 +0.054134,262 +0.054612,262 +0.053658,262 +0.056285,264 +0.052211,264 +0.050864,264 +0.049217,264 +0.050019,264 +0.050148,264 +0.050645,264 +0.050201,264 +0.049772,264 +0.049309,264 +0.047067,264 +0.049003,264 +0.047070,264 +0.047391,264 +0.046381,264 +0.047166,264 +0.048396,264 +0.047551,264 +0.046881,264 +0.047159,264 +0.047023,264 +0.047268,264 +0.046398,264 +0.046534,264 +0.046563,264 +0.046307,264 +0.047036,264 +0.046239,264 +0.046973,264 +0.046144,264 +0.047086,264 +0.046353,264 +0.047711,264 +0.046246,264 +0.047048,264 +0.046189,264 +0.048609,264 +0.046199,264 +0.046267,264 +0.047407,264 +0.046089,264 +0.047786,264 +0.046747,264 +0.046999,264 +0.046237,264 +0.046987,264 +0.046402,264 +0.048332,264 +0.047240,264 +0.047567,264 +0.047951,264 +0.048270,264 +0.046454,264 +0.048006,264 +0.046843,264 +0.046841,264 +0.047899,264 +0.046480,264 +0.048260,264 +0.046080,264 +0.048094,264 +0.046167,264 +0.048128,264 +0.051792,264 +0.050430,264 +0.049137,264 +0.048897,264 +0.048034,264 +0.047286,264 +0.046188,264 +0.046870,264 +0.046286,264 +0.046630,264 +0.046781,264 +0.046262,264 +0.049960,264 +0.051342,264 +0.049265,264 +0.046303,264 +0.047130,264 +0.046226,264 +0.047704,264 +0.046374,264 +0.046911,264 +0.046082,264 +0.047771,264 +0.046475,264 +0.049328,264 +0.046435,264 +0.046622,264 +0.046266,264 +0.046550,264 +0.048710,264 +0.049719,264 +0.048527,264 +0.048581,264 +0.050060,264 +0.049059,264 +0.047369,264 +0.046636,264 +0.051725,266 +0.051314,266 +0.053410,266 +0.055430,266 +0.054625,266 +0.053391,266 +0.051943,266 +0.051466,266 +0.050024,266 +0.050617,266 +0.049899,266 +0.050297,266 +0.050409,266 +0.050722,266 +0.050274,266 +0.050730,266 +0.054686,266 +0.053915,266 +0.051247,266 +0.051398,266 +0.050113,266 +0.050549,266 +0.054031,266 +0.051283,266 +0.049816,266 +0.050561,266 +0.050195,266 +0.050661,266 +0.049893,266 +0.050586,266 +0.050073,266 +0.050903,266 +0.050330,266 +0.050627,266 +0.049771,266 +0.050922,266 +0.051920,266 +0.053144,266 +0.053605,266 +0.053413,266 +0.052102,266 +0.052975,266 +0.052856,266 +0.054334,266 +0.053598,266 +0.052921,266 +0.052794,266 +0.052685,266 +0.052804,266 +0.051450,266 +0.051631,266 +0.050223,266 +0.050900,266 +0.058479,266 +0.056501,266 +0.055018,266 +0.054116,266 +0.052089,266 +0.052082,266 +0.050745,266 +0.051203,266 +0.050035,266 +0.050797,266 +0.050062,266 +0.051296,266 +0.052480,266 +0.050936,266 +0.057681,266 +0.058276,266 +0.055856,266 +0.053685,266 +0.053777,266 +0.053911,266 +0.052941,266 +0.051741,266 +0.050494,266 +0.055502,266 +0.059932,266 +0.054018,266 +0.052270,266 +0.050435,266 +0.077285,266 +0.054011,266 +0.050785,266 +0.054649,266 +0.052420,266 +0.052819,266 +0.054659,266 +0.054409,266 +0.054260,266 +0.053533,266 +0.053754,266 +0.052733,266 +0.052416,266 +0.051040,266 +0.052033,266 +0.052009,266 +0.052529,266 +0.052487,266 +0.052117,266 +0.052258,268 +0.053511,268 +0.064842,268 +0.059756,268 +0.059964,268 +0.056388,268 +0.060106,268 +0.053551,268 +0.053074,268 +0.052905,268 +0.059101,268 +0.052455,268 +0.053274,268 +0.054025,268 +0.062822,268 +0.056024,268 +0.055818,268 +0.053038,268 +0.052923,268 +0.052858,268 +0.052785,268 +0.052192,268 +0.050187,268 +0.050496,268 +0.052006,268 +0.052511,268 +0.050390,268 +0.050760,268 +0.050301,268 +0.050783,268 +0.050071,268 +0.050577,268 +0.050098,268 +0.050878,268 +0.050046,268 +0.050771,268 +0.050167,268 +0.051274,268 +0.051997,268 +0.051412,268 +0.050190,268 +0.050241,268 +0.051350,268 +0.052092,268 +0.050312,268 +0.050354,268 +0.050081,268 +0.050403,268 +0.050523,268 +0.052009,268 +0.050330,268 +0.050170,268 +0.050514,268 +0.050418,268 +0.050490,268 +0.050214,268 +0.050398,268 +0.050309,268 +0.050384,268 +0.050148,268 +0.050418,268 +0.050590,268 +0.054156,268 +0.053955,268 +0.054889,268 +0.061761,268 +0.066656,268 +0.053520,268 +0.051113,268 +0.050269,268 +0.050530,268 +0.051181,268 +0.050927,268 +0.050556,268 +0.050343,268 +0.050250,268 +0.050333,268 +0.050440,268 +0.050843,268 +0.050310,268 +0.050533,268 +0.050466,268 +0.050440,268 +0.050083,268 +0.050723,268 +0.050275,268 +0.050505,268 +0.050215,268 +0.050782,268 +0.050139,268 +0.050525,268 +0.050406,268 +0.050330,268 +0.050213,268 +0.050382,268 +0.051692,268 +0.051835,268 +0.051324,268 +0.052542,268 +0.050617,268 +0.053960,270 +0.054397,270 +0.053719,270 +0.054373,270 +0.053741,270 +0.054123,270 +0.054112,270 +0.054448,270 +0.053833,270 +0.054301,270 +0.054003,270 +0.054069,270 +0.054124,270 +0.053797,270 +0.054256,270 +0.054018,270 +0.054296,270 +0.053865,270 +0.055765,270 +0.053850,270 +0.054618,270 +0.053893,270 +0.055188,270 +0.058444,270 +0.057940,270 +0.056482,270 +0.058558,270 +0.056220,270 +0.055996,270 +0.058367,270 +0.056417,270 +0.058341,270 +0.062754,270 +0.056253,270 +0.061714,270 +0.057928,270 +0.056349,270 +0.058408,270 +0.058224,270 +0.057903,270 +0.057873,270 +0.059330,270 +0.060017,270 +0.058020,270 +0.057583,270 +0.056950,270 +0.056838,270 +0.057761,270 +0.057302,270 +0.057690,270 +0.059148,270 +0.057890,270 +0.057142,270 +0.057580,270 +0.057715,270 +0.058074,270 +0.057601,270 +0.058007,270 +0.057046,270 +0.056160,270 +0.056786,270 +0.065296,270 +0.060188,270 +0.070213,270 +0.060761,270 +0.060641,270 +0.056608,270 +0.054322,270 +0.056702,270 +0.068307,270 +0.061488,270 +0.059540,270 +0.059322,270 +0.062787,270 +0.056925,270 +0.062799,270 +0.058443,270 +0.057363,270 +0.057748,270 +0.060106,270 +0.064343,270 +0.061347,270 +0.062039,270 +0.063974,270 +0.064517,270 +0.060165,270 +0.062633,270 +0.059059,270 +0.056930,270 +0.054548,270 +0.061077,270 +0.053595,270 +0.059761,270 +0.053469,270 +0.059381,270 +0.059112,270 +0.053274,270 +0.059535,270 +0.053350,270 +0.058998,270 +0.051533,272 +0.056155,272 +0.056381,272 +0.050555,272 +0.056389,272 +0.050467,272 +0.056186,272 +0.050446,272 +0.056900,272 +0.052880,272 +0.056857,272 +0.050859,272 +0.056792,272 +0.050541,272 +0.056909,272 +0.054983,272 +0.051940,272 +0.056142,272 +0.050491,272 +0.057792,272 +0.058770,272 +0.056321,272 +0.057960,272 +0.056229,272 +0.058982,272 +0.056232,272 +0.056269,272 +0.056030,272 +0.057696,272 +0.054746,272 +0.053061,272 +0.051260,272 +0.051097,272 +0.050458,272 +0.050925,272 +0.051690,272 +0.051156,272 +0.051179,272 +0.052154,272 +0.050605,272 +0.051061,272 +0.050549,272 +0.051130,272 +0.051958,272 +0.053018,272 +0.053542,272 +0.051333,272 +0.054512,272 +0.055631,272 +0.056081,272 +0.056137,272 +0.056946,272 +0.055434,272 +0.060452,272 +0.052961,272 +0.055519,272 +0.055727,272 +0.056935,272 +0.052991,272 +0.050753,272 +0.051385,272 +0.050604,272 +0.052218,272 +0.052902,272 +0.053580,272 +0.051193,272 +0.052471,272 +0.050534,272 +0.052734,272 +0.050638,272 +0.052118,272 +0.050569,272 +0.052254,272 +0.050403,272 +0.052877,272 +0.050546,272 +0.051199,272 +0.050424,272 +0.051033,272 +0.050499,272 +0.050719,272 +0.050657,272 +0.051270,272 +0.050571,272 +0.051184,272 +0.050471,272 +0.051083,272 +0.050534,272 +0.051226,272 +0.050497,272 +0.050930,272 +0.050515,272 +0.050652,272 +0.050458,272 +0.050849,272 +0.050960,272 +0.050717,272 +0.050660,272 +0.050604,272 +0.050627,272 +0.055355,274 +0.055286,274 +0.055058,274 +0.077759,274 +0.062612,274 +0.084260,274 +0.104903,274 +0.106103,274 +0.077543,274 +0.085944,274 +0.080646,274 +0.056136,274 +0.056251,274 +0.056378,274 +0.056039,274 +0.056316,274 +0.056571,274 +0.068323,274 +0.065931,274 +0.059785,274 +0.058998,274 +0.056701,274 +0.061016,274 +0.062724,274 +0.056139,274 +0.057446,274 +0.057002,274 +0.059934,274 +0.060444,274 +0.060331,274 +0.070187,274 +0.102343,274 +0.101983,274 +0.085944,274 +0.057725,274 +0.060507,274 +0.078247,274 +0.073117,274 +0.066163,274 +0.060576,274 +0.059118,274 +0.064332,274 +0.068698,274 +0.063827,274 +0.068858,274 +0.062736,274 +0.068263,274 +0.061657,274 +0.059037,274 +0.062543,274 +0.062379,274 +0.065076,274 +0.061394,274 +0.065859,274 +0.059628,274 +0.060438,274 +0.058751,274 +0.060736,274 +0.056983,274 +0.059483,274 +0.058811,274 +0.060062,274 +0.059005,274 +0.058105,274 +0.059569,274 +0.061596,274 +0.067420,274 +0.065639,274 +0.065058,274 +0.064804,274 +0.064150,274 +0.061249,274 +0.060533,274 +0.060707,274 +0.060454,274 +0.063287,274 +0.059066,274 +0.058902,274 +0.062817,274 +0.057138,274 +0.058739,274 +0.056870,274 +0.060131,274 +0.058255,274 +0.057846,274 +0.056016,274 +0.059232,274 +0.059195,274 +0.058514,274 +0.066063,274 +0.068293,274 +0.066232,274 +0.064580,274 +0.059091,274 +0.060501,274 +0.060111,274 +0.060989,274 +0.059421,274 +0.065569,274 +0.061068,274 +0.060733,276 +0.055370,276 +0.077650,276 +0.057427,276 +0.057217,276 +0.057550,276 +0.057177,276 +0.056801,276 +0.062281,276 +0.056746,276 +0.061197,276 +0.057997,276 +0.058909,276 +0.058194,276 +0.059997,276 +0.058988,276 +0.058429,276 +0.064624,276 +0.057617,276 +0.060444,276 +0.060571,276 +0.058261,276 +0.060075,276 +0.059849,276 +0.060039,276 +0.057928,276 +0.058232,276 +0.060680,276 +0.062127,276 +0.060752,276 +0.062138,276 +0.058386,276 +0.058208,276 +0.057690,276 +0.055231,276 +0.055463,276 +0.056137,276 +0.066303,276 +0.060803,276 +0.061295,276 +0.060621,276 +0.061494,276 +0.065527,276 +0.065753,276 +0.069152,276 +0.060415,276 +0.060932,276 +0.060823,276 +0.060634,276 +0.068160,276 +0.071643,276 +0.067290,276 +0.066832,276 +0.066297,276 +0.069288,276 +0.066156,276 +0.061526,276 +0.059984,276 +0.065361,276 +0.059491,276 +0.056447,276 +0.059148,276 +0.059728,276 +0.057638,276 +0.060436,276 +0.074956,276 +0.064729,276 +0.071866,276 +0.078464,276 +0.065329,276 +0.082083,276 +0.060430,276 +0.061510,276 +0.069063,276 +0.064846,276 +0.058104,276 +0.056249,276 +0.059217,276 +0.063967,276 +0.062880,276 +0.055427,276 +0.061798,276 +0.057072,276 +0.065297,276 +0.064682,276 +0.062539,276 +0.060433,276 +0.061693,276 +0.064777,276 +0.062460,276 +0.061834,276 +0.057039,276 +0.063286,276 +0.058734,276 +0.062493,276 +0.061756,276 +0.059587,276 +0.058489,276 +0.058649,276 +0.055728,276 +0.058655,278 +0.058376,278 +0.057495,278 +0.058710,278 +0.058263,278 +0.066848,278 +0.065266,278 +0.058434,278 +0.066578,278 +0.066915,278 +0.069207,278 +0.070718,278 +0.063471,278 +0.061312,278 +0.059197,278 +0.059363,278 +0.058063,278 +0.058907,278 +0.060127,278 +0.058821,278 +0.058679,278 +0.058371,278 +0.060246,278 +0.062742,278 +0.058916,278 +0.059371,278 +0.059822,278 +0.060244,278 +0.062157,278 +0.063462,278 +0.066566,278 +0.068093,278 +0.071604,278 +0.073728,278 +0.069347,278 +0.070758,278 +0.070580,278 +0.062849,278 +0.065264,278 +0.058941,278 +0.058012,278 +0.063789,278 +0.066193,278 +0.072972,278 +0.069772,278 +0.065957,278 +0.070013,278 +0.067595,278 +0.073879,278 +0.063638,278 +0.067512,278 +0.068782,278 +0.070986,278 +0.076221,278 +0.074177,278 +0.066303,278 +0.062857,278 +0.063683,278 +0.061570,278 +0.062001,278 +0.060927,278 +0.062514,278 +0.059205,278 +0.058478,278 +0.059849,278 +0.063694,278 +0.065171,278 +0.072492,278 +0.065300,278 +0.064288,278 +0.064443,278 +0.063192,278 +0.060911,278 +0.063925,278 +0.059304,278 +0.059943,278 +0.059610,278 +0.057801,278 +0.059888,278 +0.058579,278 +0.059326,278 +0.059327,278 +0.058302,278 +0.063137,278 +0.061572,278 +0.060818,278 +0.059413,278 +0.057830,278 +0.063835,278 +0.057556,278 +0.064423,278 +0.063405,278 +0.058073,278 +0.072706,278 +0.068393,278 +0.068173,278 +0.067488,278 +0.064341,278 +0.065489,278 +0.061618,278 +0.063219,280 +0.060395,280 +0.061169,280 +0.060930,280 +0.057626,280 +0.055814,280 +0.056872,280 +0.056238,280 +0.057810,280 +0.056633,280 +0.056554,280 +0.057295,280 +0.056093,280 +0.056544,280 +0.056032,280 +0.056596,280 +0.056284,280 +0.055857,280 +0.056353,280 +0.055744,280 +0.056309,280 +0.055758,280 +0.056570,280 +0.056137,280 +0.056888,280 +0.056344,280 +0.055935,280 +0.056404,280 +0.055796,280 +0.056614,280 +0.055893,280 +0.056381,280 +0.056788,280 +0.056024,280 +0.056255,280 +0.056147,280 +0.056318,280 +0.055886,280 +0.056246,280 +0.055850,280 +0.056286,280 +0.056400,280 +0.055959,280 +0.056493,280 +0.055887,280 +0.056421,280 +0.056425,280 +0.069027,280 +0.063965,280 +0.062629,280 +0.063214,280 +0.066614,280 +0.061499,280 +0.061985,280 +0.063162,280 +0.065707,280 +0.060343,280 +0.060719,280 +0.063382,280 +0.060085,280 +0.063920,280 +0.062268,280 +0.060334,280 +0.057546,280 +0.066008,280 +0.056917,280 +0.059449,280 +0.061266,280 +0.061639,280 +0.061490,280 +0.061053,280 +0.062394,280 +0.061806,280 +0.066203,280 +0.065063,280 +0.068803,280 +0.073897,280 +0.071415,280 +0.061651,280 +0.062140,280 +0.068908,280 +0.069307,280 +0.067386,280 +0.062752,280 +0.069230,280 +0.070114,280 +0.064809,280 +0.060479,280 +0.061138,280 +0.063538,280 +0.061519,280 +0.058772,280 +0.059980,280 +0.061173,280 +0.061562,280 +0.058449,280 +0.059663,280 +0.071151,280 +0.060882,280 +0.066724,280 +0.072016,282 +0.074860,282 +0.070270,282 +0.073070,282 +0.069344,282 +0.076691,282 +0.086220,282 +0.078314,282 +0.068736,282 +0.066885,282 +0.068434,282 +0.066834,282 +0.066249,282 +0.072824,282 +0.075319,282 +0.071495,282 +0.069390,282 +0.068081,282 +0.067893,282 +0.068946,282 +0.067668,282 +0.068085,282 +0.067531,282 +0.069401,282 +0.076482,282 +0.074109,282 +0.068777,282 +0.070797,282 +0.071662,282 +0.070121,282 +0.097231,282 +0.079167,282 +0.069282,282 +0.069333,282 +0.073691,282 +0.068289,282 +0.072362,282 +0.068569,282 +0.068555,282 +0.069764,282 +0.072091,282 +0.065155,282 +0.064922,282 +0.070280,282 +0.064525,282 +0.066633,282 +0.062893,282 +0.064499,282 +0.062042,282 +0.061602,282 +0.061429,282 +0.061333,282 +0.061341,282 +0.060931,282 +0.061759,282 +0.061270,282 +0.060762,282 +0.061671,282 +0.060706,282 +0.061936,282 +0.065297,282 +0.061463,282 +0.062186,282 +0.061000,282 +0.061329,282 +0.061405,282 +0.062654,282 +0.064562,282 +0.064346,282 +0.064517,282 +0.062018,282 +0.062551,282 +0.063137,282 +0.061378,282 +0.061309,282 +0.061441,282 +0.062240,282 +0.063585,282 +0.070333,282 +0.064389,282 +0.062171,282 +0.065352,282 +0.066117,282 +0.067361,282 +0.064329,282 +0.061419,282 +0.061788,282 +0.061899,282 +0.060952,282 +0.062098,282 +0.064113,282 +0.064734,282 +0.065608,282 +0.062708,282 +0.062502,282 +0.061444,282 +0.062500,282 +0.063233,282 +0.062965,282 +0.062939,282 +0.061046,284 +0.060496,284 +0.060836,284 +0.062635,284 +0.061098,284 +0.062422,284 +0.060454,284 +0.061306,284 +0.060970,284 +0.059322,284 +0.060996,284 +0.059282,284 +0.062343,284 +0.061150,284 +0.059339,284 +0.062270,284 +0.059404,284 +0.060982,284 +0.061201,284 +0.059487,284 +0.061295,284 +0.059402,284 +0.061040,284 +0.061154,284 +0.059433,284 +0.061046,284 +0.059347,284 +0.061015,284 +0.062313,284 +0.060296,284 +0.061069,284 +0.059390,284 +0.061376,284 +0.061045,284 +0.059254,284 +0.061072,284 +0.059390,284 +0.061039,284 +0.060863,284 +0.060137,284 +0.061132,284 +0.059248,284 +0.061549,284 +0.061096,284 +0.059492,284 +0.062208,284 +0.059378,284 +0.064014,284 +0.061461,284 +0.059358,284 +0.062296,284 +0.074642,284 +0.071049,284 +0.066325,284 +0.069245,284 +0.068743,284 +0.070516,284 +0.071255,284 +0.067085,284 +0.065974,284 +0.066825,284 +0.067573,284 +0.068968,284 +0.064459,284 +0.061483,284 +0.075049,284 +0.065255,284 +0.077691,284 +0.090725,284 +0.067188,284 +0.065421,284 +0.070782,284 +0.066749,284 +0.067901,284 +0.065804,284 +0.064306,284 +0.061525,284 +0.060358,284 +0.062015,284 +0.060604,284 +0.060064,284 +0.061275,284 +0.059862,284 +0.061431,284 +0.062032,284 +0.061327,284 +0.061746,284 +0.059494,284 +0.060965,284 +0.060872,284 +0.059400,284 +0.062127,284 +0.059301,284 +0.061337,284 +0.061756,284 +0.059648,284 +0.060987,284 +0.059261,284 +0.061118,284 +0.061140,284 +0.063425,286 +0.064737,286 +0.064355,286 +0.063657,286 +0.064667,286 +0.063042,286 +0.064707,286 +0.065789,286 +0.063100,286 +0.065326,286 +0.066364,286 +0.063675,286 +0.064873,286 +0.064375,286 +0.063434,286 +0.063620,286 +0.063581,286 +0.064280,286 +0.063903,286 +0.063200,286 +0.063643,286 +0.063740,286 +0.063307,286 +0.063884,286 +0.063368,286 +0.063508,286 +0.063826,286 +0.063174,286 +0.063968,286 +0.064779,286 +0.063249,286 +0.065129,286 +0.065503,286 +0.066801,286 +0.065673,286 +0.066431,286 +0.066196,286 +0.065085,286 +0.064430,286 +0.064809,286 +0.063816,286 +0.063359,286 +0.063642,286 +0.063762,286 +0.063233,286 +0.063836,286 +0.063836,286 +0.063249,286 +0.064058,286 +0.063400,286 +0.063894,286 +0.063750,286 +0.063127,286 +0.063740,286 +0.064056,286 +0.063366,286 +0.063874,286 +0.063578,286 +0.063819,286 +0.063598,286 +0.063287,286 +0.063787,286 +0.063828,286 +0.063347,286 +0.064371,286 +0.063440,286 +0.063083,286 +0.063631,286 +0.063373,286 +0.063355,286 +0.063701,286 +0.063124,286 +0.063970,286 +0.063441,286 +0.062995,286 +0.063621,286 +0.063674,286 +0.065323,286 +0.064494,286 +0.067087,286 +0.064575,286 +0.064647,286 +0.063564,286 +0.064806,286 +0.064180,286 +0.063215,286 +0.063833,286 +0.063644,286 +0.063111,286 +0.063867,286 +0.063236,286 +0.063614,286 +0.063930,286 +0.062981,286 +0.063888,286 +0.063725,286 +0.063463,286 +0.063839,286 +0.063619,286 +0.063223,286 +0.064376,288 +0.063707,288 +0.064364,288 +0.064462,288 +0.066459,288 +0.064684,288 +0.065017,288 +0.063947,288 +0.064447,288 +0.064137,288 +0.063646,288 +0.065175,288 +0.070360,288 +0.071598,288 +0.071383,288 +0.070829,288 +0.069477,288 +0.069394,288 +0.068970,288 +0.069672,288 +0.069716,288 +0.071996,288 +0.074610,288 +0.068118,288 +0.065774,288 +0.069773,288 +0.074340,288 +0.070091,288 +0.070158,288 +0.068244,288 +0.067423,288 +0.068650,288 +0.069801,288 +0.070965,288 +0.071539,288 +0.071692,288 +0.070481,288 +0.078654,288 +0.072991,288 +0.067273,288 +0.064580,288 +0.065642,288 +0.067566,288 +0.066009,288 +0.066068,288 +0.068610,288 +0.069114,288 +0.068622,288 +0.065788,288 +0.064485,288 +0.065000,288 +0.066887,288 +0.074228,288 +0.069965,288 +0.077213,288 +0.066733,288 +0.071594,288 +0.069941,288 +0.064325,288 +0.070085,288 +0.065749,288 +0.065430,288 +0.083415,288 +0.071016,288 +0.076565,288 +0.072772,288 +0.069500,288 +0.069351,288 +0.066924,288 +0.066275,288 +0.064787,288 +0.066885,288 +0.064586,288 +0.064665,288 +0.067937,288 +0.069406,288 +0.079028,288 +0.082235,288 +0.071772,288 +0.065477,288 +0.068255,288 +0.070726,288 +0.070777,288 +0.070487,288 +0.066012,288 +0.067938,288 +0.068077,288 +0.073226,288 +0.066543,288 +0.066800,288 +0.065631,288 +0.085718,288 +0.089092,288 +0.087413,288 +0.070510,288 +0.066891,288 +0.066570,288 +0.064278,288 +0.064291,288 +0.066164,288 +0.066856,290 +0.066542,290 +0.066700,290 +0.066331,290 +0.066329,290 +0.066563,290 +0.066186,290 +0.066713,290 +0.066740,290 +0.066146,290 +0.066181,290 +0.066832,290 +0.066045,290 +0.066206,290 +0.066781,290 +0.066178,290 +0.066023,290 +0.066379,290 +0.074327,290 +0.067359,290 +0.066890,290 +0.066038,290 +0.066210,290 +0.066857,290 +0.065996,290 +0.066408,290 +0.066721,290 +0.066083,290 +0.066572,290 +0.066601,290 +0.065704,290 +0.066854,290 +0.066663,290 +0.065723,290 +0.066815,290 +0.066464,290 +0.065716,290 +0.066601,290 +0.066705,290 +0.065860,290 +0.066663,290 +0.066405,290 +0.065973,290 +0.066908,290 +0.066657,290 +0.065943,290 +0.066938,290 +0.066389,290 +0.065999,290 +0.066745,290 +0.066303,290 +0.066258,290 +0.067397,290 +0.066411,290 +0.066299,290 +0.066642,290 +0.066156,290 +0.074817,290 +0.070316,290 +0.068684,290 +0.066628,290 +0.067040,290 +0.066562,290 +0.066173,290 +0.067013,290 +0.066810,290 +0.065973,290 +0.066960,290 +0.066530,290 +0.066101,290 +0.066809,290 +0.066522,290 +0.066021,290 +0.066746,290 +0.066434,290 +0.066097,290 +0.066708,290 +0.066651,290 +0.066335,290 +0.066961,290 +0.066217,290 +0.066568,290 +0.066737,290 +0.065997,290 +0.067041,290 +0.067766,290 +0.065829,290 +0.066719,290 +0.066944,290 +0.065817,290 +0.066878,290 +0.066380,290 +0.066074,290 +0.067010,290 +0.067114,290 +0.065857,290 +0.066773,290 +0.066490,290 +0.065858,290 +0.066554,290 +0.066309,292 +0.065868,292 +0.066050,292 +0.066186,292 +0.067014,292 +0.070358,292 +0.066037,292 +0.066376,292 +0.066464,292 +0.065910,292 +0.067182,292 +0.066370,292 +0.066138,292 +0.066665,292 +0.072453,292 +0.065768,292 +0.065263,292 +0.067144,292 +0.065889,292 +0.065232,292 +0.065898,292 +0.065375,292 +0.065452,292 +0.065864,292 +0.065250,292 +0.065853,292 +0.065723,292 +0.064962,292 +0.066235,292 +0.065645,292 +0.065551,292 +0.066315,292 +0.066393,292 +0.066390,292 +0.066038,292 +0.065460,292 +0.066657,292 +0.066426,292 +0.065633,292 +0.067215,292 +0.066436,292 +0.065902,292 +0.065923,292 +0.066517,292 +0.065837,292 +0.065519,292 +0.066377,292 +0.065731,292 +0.065825,292 +0.066306,292 +0.065418,292 +0.065969,292 +0.066479,292 +0.065072,292 +0.066340,292 +0.065952,292 +0.065452,292 +0.066103,292 +0.066080,292 +0.065526,292 +0.066222,292 +0.065902,292 +0.065540,292 +0.066321,292 +0.065830,292 +0.065732,292 +0.067067,292 +0.066852,292 +0.065767,292 +0.066326,292 +0.066414,292 +0.065622,292 +0.066265,292 +0.066090,292 +0.065993,292 +0.066376,292 +0.065403,292 +0.066079,292 +0.066214,292 +0.065233,292 +0.066158,292 +0.066097,292 +0.065168,292 +0.066237,292 +0.065953,292 +0.065484,292 +0.066720,292 +0.072731,292 +0.076935,292 +0.080018,292 +0.082379,292 +0.080917,292 +0.074605,292 +0.068439,292 +0.069450,292 +0.068890,292 +0.068080,292 +0.068419,292 +0.068819,292 +0.069171,292 +0.076822,294 +0.076086,294 +0.078940,294 +0.074760,294 +0.074426,294 +0.073137,294 +0.072081,294 +0.070823,294 +0.072792,294 +0.072130,294 +0.072409,294 +0.072391,294 +0.072992,294 +0.079275,294 +0.086944,294 +0.083957,294 +0.076999,294 +0.076847,294 +0.078900,294 +0.071525,294 +0.071786,294 +0.072034,294 +0.072026,294 +0.074384,294 +0.074108,294 +0.071156,294 +0.070194,294 +0.070710,294 +0.070922,294 +0.070716,294 +0.070229,294 +0.070987,294 +0.070825,294 +0.069836,294 +0.071088,294 +0.070921,294 +0.070434,294 +0.070411,294 +0.071038,294 +0.070787,294 +0.070330,294 +0.071036,294 +0.070979,294 +0.070156,294 +0.070996,294 +0.070858,294 +0.070398,294 +0.070803,294 +0.071150,294 +0.070646,294 +0.071168,294 +0.071539,294 +0.070709,294 +0.069758,294 +0.071038,294 +0.071165,294 +0.070349,294 +0.073770,294 +0.070953,294 +0.072926,294 +0.069917,294 +0.071281,294 +0.071955,294 +0.071535,294 +0.077098,294 +0.074606,294 +0.074303,294 +0.071320,294 +0.070532,294 +0.070896,294 +0.070341,294 +0.069827,294 +0.070714,294 +0.070326,294 +0.072954,294 +0.074486,294 +0.073188,294 +0.070619,294 +0.070657,294 +0.070815,294 +0.071126,294 +0.074661,294 +0.073268,294 +0.076067,294 +0.083637,294 +0.074073,294 +0.082686,294 +0.077119,294 +0.075453,294 +0.076002,294 +0.071392,294 +0.072592,294 +0.074008,294 +0.069877,294 +0.071344,294 +0.070870,294 +0.071150,294 +0.071804,294 +0.071079,294 +0.071553,294 +0.066974,296 +0.068582,296 +0.068594,296 +0.067236,296 +0.068186,296 +0.068300,296 +0.066251,296 +0.068456,296 +0.068182,296 +0.067526,296 +0.068491,296 +0.069412,296 +0.066596,296 +0.068758,296 +0.068368,296 +0.066651,296 +0.068386,296 +0.068434,296 +0.066997,296 +0.068163,296 +0.068334,296 +0.067285,296 +0.071464,296 +0.072527,296 +0.069374,296 +0.066762,296 +0.069384,296 +0.068125,296 +0.066689,296 +0.072023,296 +0.074263,296 +0.066657,296 +0.068572,296 +0.068314,296 +0.066261,296 +0.068553,296 +0.067026,296 +0.066611,296 +0.067615,296 +0.067246,296 +0.066506,296 +0.067668,296 +0.067284,296 +0.066467,296 +0.067471,296 +0.067280,296 +0.067456,296 +0.068320,296 +0.068635,296 +0.066139,296 +0.068106,296 +0.068149,296 +0.066075,296 +0.068784,296 +0.068268,296 +0.066233,296 +0.069456,296 +0.067947,296 +0.066422,296 +0.067812,296 +0.068153,296 +0.066867,296 +0.067462,296 +0.068132,296 +0.067164,296 +0.067326,296 +0.068220,296 +0.067258,296 +0.067231,296 +0.068053,296 +0.068183,296 +0.067775,296 +0.068161,296 +0.067675,296 +0.067005,296 +0.068616,296 +0.067729,296 +0.066907,296 +0.068243,296 +0.067927,296 +0.066670,296 +0.068298,296 +0.067857,296 +0.067380,296 +0.068326,296 +0.068842,296 +0.067039,296 +0.068302,296 +0.068213,296 +0.066634,296 +0.068386,296 +0.067673,296 +0.066894,296 +0.068327,296 +0.066926,296 +0.066740,296 +0.067472,296 +0.066996,296 +0.066620,296 +0.067563,296 +0.074082,298 +0.072820,298 +0.073513,298 +0.073754,298 +0.074084,298 +0.073198,298 +0.073715,298 +0.073480,298 +0.073005,298 +0.073204,298 +0.073714,298 +0.073746,298 +0.072662,298 +0.073693,298 +0.073421,298 +0.073221,298 +0.072732,298 +0.073666,298 +0.073410,298 +0.072768,298 +0.073171,298 +0.073607,298 +0.072946,298 +0.072686,298 +0.073423,298 +0.073634,298 +0.074629,298 +0.072765,298 +0.073651,298 +0.073395,298 +0.072872,298 +0.073192,298 +0.073592,298 +0.073454,298 +0.072587,298 +0.073284,298 +0.073709,298 +0.073488,298 +0.072771,298 +0.073605,298 +0.073534,298 +0.073027,298 +0.073515,298 +0.073689,298 +0.073708,298 +0.072601,298 +0.073632,298 +0.073809,298 +0.073004,298 +0.073058,298 +0.073719,298 +0.073876,298 +0.073224,298 +0.073554,298 +0.073837,298 +0.073483,298 +0.073045,298 +0.073656,298 +0.073569,298 +0.073026,298 +0.075732,298 +0.079497,298 +0.077026,298 +0.076725,298 +0.075296,298 +0.074288,298 +0.075321,298 +0.077556,298 +0.077182,298 +0.080477,298 +0.079437,298 +0.079661,298 +0.079812,298 +0.075677,298 +0.074235,298 +0.073422,298 +0.073126,298 +0.072768,298 +0.073769,298 +0.074062,298 +0.073833,298 +0.074786,298 +0.074297,298 +0.073377,298 +0.072905,298 +0.076307,298 +0.078593,298 +0.074184,298 +0.073057,298 +0.073524,298 +0.073492,298 +0.073582,298 +0.072937,298 +0.073603,298 +0.073564,298 +0.072902,298 +0.073522,298 +0.079887,298 +0.083117,298 +0.075722,298 diff --git a/buch/papers/multiplikation/code/meas/test/blas.txt b/buch/papers/multiplikation/code/meas/test/blas.txt new file mode 100644 index 0000000..7b0a9d1 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/test/blas.txt @@ -0,0 +1,14900 @@ +0.000001,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000000,6 +0.000001,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000001,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000010,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000000,8 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000010,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000010,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000010,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000010,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000001,10 +0.000002,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000001,12 +0.000003,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000013,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000002,14 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000003,16 +0.000005,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000006,18 +0.000007,18 +0.000007,18 +0.000007,18 +0.000006,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000013,18 +0.000004,18 +0.000013,18 +0.000004,18 +0.000013,18 +0.000004,18 +0.000013,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000013,18 +0.000004,18 +0.000013,18 +0.000004,18 +0.000014,18 +0.000004,18 +0.000014,18 +0.000004,18 +0.000014,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000004,18 +0.000007,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000005,20 +0.000008,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000011,22 +0.000012,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000016,22 +0.000007,22 +0.000016,22 +0.000007,22 +0.000016,22 +0.000016,22 +0.000016,22 +0.000007,22 +0.000016,22 +0.000016,22 +0.000016,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000016,22 +0.000007,22 +0.000016,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000006,22 +0.000010,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000010,24 +0.000018,24 +0.000018,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000008,24 +0.000013,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000020,26 +0.000011,26 +0.000020,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000020,26 +0.000020,26 +0.000021,26 +0.000031,26 +0.000011,26 +0.000019,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000020,26 +0.000020,26 +0.000020,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000010,26 +0.000015,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000022,28 +0.000022,28 +0.000021,28 +0.000022,28 +0.000021,28 +0.000023,28 +0.000022,28 +0.000023,28 +0.000022,28 +0.000025,28 +0.000025,28 +0.000025,28 +0.000025,28 +0.000025,28 +0.000024,28 +0.000024,28 +0.000025,28 +0.000035,28 +0.000048,28 +0.000055,28 +0.000045,28 +0.000025,28 +0.000025,28 +0.000025,28 +0.000026,28 +0.000025,28 +0.000025,28 +0.000025,28 +0.000025,28 +0.000025,28 +0.000025,28 +0.000025,28 +0.000023,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000020,28 +0.000025,28 +0.000025,28 +0.000025,28 +0.000024,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000013,28 +0.000025,28 +0.000032,30 +0.000031,30 +0.000030,30 +0.000031,30 +0.000030,30 +0.000030,30 +0.000073,30 +0.000030,30 +0.000030,30 +0.000031,30 +0.000017,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000019,30 +0.000030,30 +0.000030,30 +0.000030,30 +0.000030,30 +0.000030,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000026,30 +0.000029,30 +0.000040,30 +0.000041,30 +0.000041,30 +0.000040,30 +0.000038,30 +0.000042,30 +0.000023,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000027,30 +0.000030,30 +0.000030,30 +0.000040,30 +0.000040,30 +0.000031,30 +0.000028,30 +0.000028,30 +0.000024,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000015,30 +0.000021,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000021,32 +0.000025,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000028,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000029,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000028,32 +0.000039,32 +0.000043,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000022,32 +0.000028,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000040,32 +0.000038,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000019,32 +0.000043,32 +0.000047,32 +0.000031,32 +0.000047,34 +0.000039,34 +0.000035,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000022,34 +0.000027,34 +0.000050,34 +0.000023,34 +0.000023,34 +0.000023,34 +0.000023,34 +0.000023,34 +0.000033,34 +0.000023,34 +0.000042,36 +0.000028,36 +0.000037,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000037,36 +0.000036,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000043,36 +0.000050,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000027,36 +0.000037,36 +0.000036,36 +0.000037,36 +0.000059,36 +0.000049,36 +0.000027,36 +0.000037,36 +0.000057,36 +0.000048,36 +0.000046,36 +0.000047,36 +0.000027,36 +0.000046,36 +0.000027,36 +0.000027,36 +0.000035,38 +0.000036,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000051,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000042,38 +0.000041,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000051,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000031,38 +0.000044,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000086,40 +0.000090,40 +0.000051,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000058,40 +0.000062,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000042,40 +0.000053,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000059,42 +0.000077,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000068,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000068,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000064,42 +0.000058,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000048,42 +0.000058,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000078,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000078,44 +0.000095,44 +0.000073,44 +0.000096,44 +0.000097,44 +0.000085,44 +0.000064,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000065,44 +0.000064,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000075,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000054,44 +0.000068,46 +0.000062,46 +0.000078,46 +0.000083,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000061,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000085,46 +0.000072,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000081,46 +0.000133,46 +0.000080,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000061,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000061,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000061,46 +0.000061,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000061,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000097,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000061,46 +0.000062,46 +0.000062,46 +0.000061,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000061,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000061,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000062,46 +0.000073,48 +0.000069,48 +0.000108,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000090,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000089,48 +0.000069,48 +0.000069,48 +0.000095,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000088,48 +0.000079,48 +0.000099,48 +0.000141,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000091,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000069,48 +0.000085,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000078,50 +0.000077,50 +0.000092,50 +0.000138,50 +0.000097,50 +0.000151,50 +0.000117,50 +0.000077,50 +0.000077,50 +0.000078,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000098,50 +0.000077,50 +0.000077,50 +0.000078,50 +0.000099,50 +0.000077,50 +0.000078,50 +0.000078,50 +0.000078,50 +0.000117,50 +0.000077,50 +0.000077,50 +0.000078,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000078,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000078,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000078,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000078,50 +0.000077,50 +0.000077,50 +0.000078,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000078,50 +0.000077,50 +0.000077,50 +0.000078,50 +0.000077,50 +0.000150,50 +0.000111,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000078,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000100,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000077,50 +0.000089,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000131,52 +0.000106,52 +0.000147,52 +0.000130,52 +0.000105,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000123,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000106,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000110,52 +0.000128,52 +0.000153,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000110,52 +0.000095,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000086,52 +0.000099,54 +0.000116,54 +0.000161,54 +0.000169,54 +0.000144,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000153,54 +0.000096,54 +0.000096,54 +0.000115,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000114,54 +0.000115,54 +0.000170,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000106,54 +0.000196,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000131,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000139,54 +0.000096,54 +0.000130,54 +0.000096,54 +0.000096,54 +0.000120,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000096,54 +0.000110,56 +0.000125,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000133,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000136,56 +0.000159,56 +0.000159,56 +0.000143,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000126,56 +0.000106,56 +0.000106,56 +0.000125,56 +0.000106,56 +0.000130,56 +0.000135,56 +0.000183,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000172,56 +0.000149,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000106,56 +0.000119,56 +0.000115,56 +0.000123,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000129,58 +0.000127,58 +0.000117,58 +0.000117,58 +0.000156,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000136,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000136,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000152,58 +0.000138,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000117,58 +0.000134,58 +0.000153,60 +0.000178,60 +0.000226,60 +0.000188,60 +0.000128,60 +0.000128,60 +0.000128,60 +0.000148,60 +0.000128,60 +0.000128,60 +0.000149,60 +0.000142,60 +0.000132,60 +0.000132,60 +0.000157,60 +0.000190,60 +0.000132,60 +0.000132,60 +0.000132,60 +0.000132,60 +0.000132,60 +0.000132,60 +0.000132,60 +0.000132,60 +0.000132,60 +0.000153,60 +0.000132,60 +0.000161,60 +0.000132,60 +0.000132,60 +0.000132,60 +0.000142,60 +0.000180,60 +0.000141,60 +0.000128,60 +0.000128,60 +0.000128,60 +0.000128,60 +0.000128,60 +0.000128,60 +0.000128,60 +0.000128,60 +0.000128,60 +0.000212,60 +0.000390,60 +0.000275,60 +0.000261,60 +0.000269,60 +0.000234,60 +0.000272,60 +0.000241,60 +0.000238,60 +0.000326,60 +0.000245,60 +0.000182,60 +0.000150,60 +0.000167,60 +0.000153,60 +0.000138,60 +0.000128,60 +0.000159,60 +0.000249,60 +0.000157,60 +0.000128,60 +0.000164,60 +0.000165,60 +0.000128,60 +0.000128,60 +0.000230,60 +0.000176,60 +0.000244,60 +0.000238,60 +0.000162,60 +0.000128,60 +0.000128,60 +0.000170,60 +0.000148,60 +0.000129,60 +0.000142,60 +0.000128,60 +0.000128,60 +0.000128,60 +0.000180,60 +0.000212,60 +0.000189,60 +0.000191,60 +0.000161,60 +0.000143,60 +0.000166,60 +0.000135,60 +0.000135,60 +0.000135,60 +0.000135,60 +0.000135,60 +0.000135,60 +0.000135,60 +0.000142,60 +0.000169,60 +0.000128,60 +0.000128,60 +0.000144,62 +0.000141,62 +0.000141,62 +0.000188,62 +0.000215,62 +0.000213,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000161,62 +0.000141,62 +0.000161,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000167,62 +0.000145,62 +0.000184,62 +0.000145,62 +0.000223,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000165,62 +0.000165,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000178,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000165,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000178,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000145,62 +0.000150,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000141,62 +0.000156,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000198,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000248,64 +0.000255,64 +0.000163,64 +0.000154,64 +0.000154,64 +0.000174,64 +0.000154,64 +0.000174,64 +0.000153,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000190,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000195,64 +0.000192,64 +0.000154,64 +0.000164,64 +0.000216,64 +0.000164,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000168,64 +0.000173,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000173,64 +0.000173,64 +0.000154,64 +0.000154,64 +0.000173,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000173,64 +0.000189,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000173,64 +0.000174,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000154,64 +0.000172,66 +0.000169,66 +0.000169,66 +0.000194,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000240,66 +0.000283,66 +0.000188,66 +0.000169,66 +0.000169,66 +0.000188,66 +0.000169,66 +0.000189,66 +0.000169,66 +0.000196,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000179,66 +0.000227,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000191,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000179,66 +0.000198,66 +0.000169,66 +0.000169,66 +0.000189,66 +0.000207,66 +0.000169,66 +0.000169,66 +0.000188,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000191,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000169,66 +0.000186,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000198,68 +0.000307,68 +0.000251,68 +0.000183,68 +0.000183,68 +0.000209,68 +0.000223,68 +0.000345,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000303,68 +0.000331,68 +0.000331,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000255,68 +0.000283,68 +0.000183,68 +0.000201,68 +0.000203,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000215,68 +0.000223,68 +0.000183,68 +0.000203,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000203,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000355,68 +0.000196,68 +0.000183,68 +0.000221,68 +0.000183,68 +0.000256,68 +0.000184,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000183,68 +0.000246,68 +0.000312,68 +0.000193,68 +0.000183,68 +0.000183,68 +0.000203,68 +0.000203,68 +0.000218,70 +0.000355,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000237,70 +0.000342,70 +0.000334,70 +0.000339,70 +0.000351,70 +0.000373,70 +0.000355,70 +0.000281,70 +0.000363,70 +0.000341,70 +0.000323,70 +0.000200,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000233,70 +0.000348,70 +0.000199,70 +0.000242,70 +0.000199,70 +0.000199,70 +0.000238,70 +0.000199,70 +0.000210,70 +0.000208,70 +0.000199,70 +0.000199,70 +0.000219,70 +0.000199,70 +0.000378,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000326,70 +0.000209,70 +0.000199,70 +0.000239,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000200,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000341,70 +0.000229,70 +0.000199,70 +0.000291,70 +0.000325,70 +0.000303,70 +0.000199,70 +0.000214,70 +0.000210,70 +0.000210,70 +0.000210,70 +0.000210,70 +0.000214,70 +0.000205,70 +0.000205,70 +0.000210,70 +0.000199,70 +0.000375,70 +0.000347,70 +0.000410,70 +0.000361,70 +0.000362,70 +0.000371,70 +0.000203,70 +0.000199,70 +0.000199,70 +0.000199,70 +0.000382,70 +0.000200,70 +0.000210,70 +0.000345,70 +0.000490,70 +0.000247,70 +0.000255,70 +0.000199,70 +0.000199,70 +0.000359,70 +0.000230,70 +0.000281,70 +0.000210,70 +0.000251,70 +0.000311,72 +0.000259,72 +0.000226,72 +0.000215,72 +0.000235,72 +0.000215,72 +0.000235,72 +0.000367,72 +0.000451,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000250,72 +0.000215,72 +0.000215,72 +0.000393,72 +0.000215,72 +0.000215,72 +0.000293,72 +0.000309,72 +0.000215,72 +0.000304,72 +0.000325,72 +0.000221,72 +0.000221,72 +0.000221,72 +0.000374,72 +0.000227,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000244,72 +0.000356,72 +0.000545,72 +0.000385,72 +0.000391,72 +0.000216,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000420,72 +0.000388,72 +0.000393,72 +0.000223,72 +0.000215,72 +0.000233,72 +0.000270,72 +0.000348,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000254,72 +0.000220,72 +0.000390,72 +0.000215,72 +0.000215,72 +0.000257,72 +0.000308,72 +0.000215,72 +0.000235,72 +0.000301,72 +0.000279,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000215,72 +0.000230,72 +0.000351,72 +0.000215,72 +0.000257,72 +0.000314,72 +0.000254,72 +0.000215,72 +0.000215,72 +0.000281,72 +0.000317,72 +0.000390,72 +0.000292,72 +0.000227,72 +0.000234,72 +0.000221,72 +0.000247,72 +0.000250,72 +0.000227,72 +0.000215,72 +0.000344,74 +0.000473,74 +0.000451,74 +0.000574,74 +0.000248,74 +0.000357,74 +0.000234,74 +0.000233,74 +0.000233,74 +0.000350,74 +0.000234,74 +0.000233,74 +0.000312,74 +0.000311,74 +0.000233,74 +0.000233,74 +0.000314,74 +0.000265,74 +0.000233,74 +0.000234,74 +0.000346,74 +0.000273,74 +0.000234,74 +0.000287,74 +0.000351,74 +0.000234,74 +0.000293,74 +0.000363,74 +0.000233,74 +0.000233,74 +0.000239,74 +0.000348,74 +0.000234,74 +0.000234,74 +0.000302,74 +0.000282,74 +0.000234,74 +0.000234,74 +0.000338,74 +0.000243,74 +0.000233,74 +0.000260,74 +0.000344,74 +0.000234,74 +0.000233,74 +0.000238,74 +0.000346,74 +0.000233,74 +0.000233,74 +0.000299,74 +0.000465,74 +0.000260,74 +0.000274,74 +0.000246,74 +0.000246,74 +0.000287,74 +0.000351,74 +0.000233,74 +0.000233,74 +0.000233,74 +0.000460,74 +0.000435,74 +0.000513,74 +0.000318,74 +0.000234,74 +0.000354,74 +0.000234,74 +0.000233,74 +0.000299,74 +0.000326,74 +0.000233,74 +0.000233,74 +0.000316,74 +0.000256,74 +0.000233,74 +0.000234,74 +0.000351,74 +0.000234,74 +0.000233,74 +0.000234,74 +0.000376,74 +0.000233,74 +0.000253,74 +0.000364,74 +0.000276,74 +0.000234,74 +0.000234,74 +0.000362,74 +0.000234,74 +0.000233,74 +0.000238,74 +0.000346,74 +0.000233,74 +0.000233,74 +0.000313,74 +0.000270,74 +0.000233,74 +0.000269,74 +0.000347,74 +0.000233,74 +0.000260,76 +0.000270,76 +0.000352,76 +0.000252,76 +0.000251,76 +0.000368,76 +0.000251,76 +0.000286,76 +0.000487,76 +0.000252,76 +0.000315,76 +0.000396,76 +0.000262,76 +0.000251,76 +0.000269,76 +0.000351,76 +0.000251,76 +0.000251,76 +0.000444,76 +0.000423,76 +0.000509,76 +0.000443,76 +0.000575,76 +0.000445,76 +0.000520,76 +0.000373,76 +0.000252,76 +0.000372,76 +0.000251,76 +0.000251,76 +0.000279,76 +0.000341,76 +0.000251,76 +0.000312,76 +0.000423,76 +0.000252,76 +0.000251,76 +0.000366,76 +0.000252,76 +0.000251,76 +0.000256,76 +0.000356,76 +0.000252,76 +0.000251,76 +0.000361,76 +0.000251,76 +0.000251,76 +0.000316,76 +0.000334,76 +0.000252,76 +0.000251,76 +0.000362,76 +0.000252,76 +0.000251,76 +0.000268,76 +0.000343,76 +0.000252,76 +0.000251,76 +0.000360,76 +0.000346,76 +0.000320,76 +0.000341,76 +0.000279,76 +0.000296,76 +0.000336,76 +0.000273,76 +0.000251,76 +0.000251,76 +0.000470,76 +0.000439,76 +0.000464,76 +0.000459,76 +0.000586,76 +0.000261,76 +0.000258,76 +0.000345,76 +0.000258,76 +0.000258,76 +0.000283,76 +0.000318,76 +0.000258,76 +0.000258,76 +0.000258,76 +0.000258,76 +0.000258,76 +0.000295,76 +0.000420,76 +0.000291,76 +0.000251,76 +0.000284,76 +0.000251,76 +0.000251,76 +0.000276,76 +0.000405,76 +0.000251,76 +0.000251,76 +0.000251,76 +0.000251,76 +0.000251,76 +0.000287,76 +0.000432,78 +0.000271,78 +0.000271,78 +0.000406,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000420,78 +0.000271,78 +0.000313,78 +0.000500,78 +0.000325,78 +0.000278,78 +0.000298,78 +0.000308,78 +0.000271,78 +0.000427,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000382,78 +0.000539,78 +0.000500,78 +0.000324,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000400,78 +0.000311,78 +0.000305,78 +0.000360,78 +0.000283,78 +0.000292,78 +0.000281,78 +0.000313,78 +0.000316,78 +0.000280,78 +0.000294,78 +0.000292,78 +0.000295,78 +0.000284,78 +0.000282,78 +0.000271,78 +0.000320,78 +0.000271,78 +0.000347,78 +0.000315,78 +0.000271,78 +0.000271,78 +0.000308,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000306,78 +0.000271,78 +0.000271,78 +0.000341,78 +0.000384,78 +0.000271,78 +0.000291,78 +0.000291,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000391,78 +0.000474,78 +0.000490,78 +0.000437,78 +0.000272,78 +0.000271,78 +0.000271,78 +0.000282,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000309,78 +0.000272,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000271,78 +0.000310,78 +0.000271,78 +0.000315,78 +0.000293,80 +0.000310,80 +0.000290,80 +0.000290,80 +0.000323,80 +0.000290,80 +0.000291,80 +0.000290,80 +0.000291,80 +0.000290,80 +0.000290,80 +0.000291,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000330,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000474,80 +0.000291,80 +0.000310,80 +0.000311,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000328,80 +0.000290,80 +0.000290,80 +0.000450,80 +0.000537,80 +0.000440,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000332,80 +0.000291,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000330,80 +0.000290,80 +0.000313,80 +0.000290,80 +0.000314,80 +0.000290,80 +0.000290,80 +0.000291,80 +0.000291,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000301,80 +0.000333,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000310,80 +0.000454,80 +0.000291,80 +0.000448,80 +0.000310,80 +0.000335,80 +0.000291,80 +0.000290,80 +0.000291,80 +0.000291,80 +0.000337,80 +0.000592,80 +0.000518,80 +0.000362,80 +0.000290,80 +0.000290,80 +0.000290,80 +0.000317,80 +0.000291,80 +0.000290,80 +0.000290,80 +0.000291,80 +0.000291,80 +0.000290,80 +0.000324,82 +0.000313,82 +0.000313,82 +0.000473,82 +0.000313,82 +0.000366,82 +0.000313,82 +0.000352,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000469,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000353,82 +0.000464,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000472,82 +0.000333,82 +0.000323,82 +0.000526,82 +0.000313,82 +0.000312,82 +0.000312,82 +0.000476,82 +0.000555,82 +0.000576,82 +0.000616,82 +0.000313,82 +0.000356,82 +0.000313,82 +0.000386,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000393,82 +0.000392,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000343,82 +0.000332,82 +0.000336,82 +0.000313,82 +0.000503,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000352,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000468,82 +0.000313,82 +0.000313,82 +0.000424,82 +0.000313,82 +0.000314,82 +0.000421,82 +0.000461,82 +0.000313,82 +0.000332,82 +0.000354,82 +0.000313,82 +0.000313,82 +0.000313,82 +0.000484,82 +0.000571,82 +0.000426,82 +0.000313,82 +0.000353,82 +0.000476,82 +0.000312,82 +0.000367,82 +0.000362,82 +0.000312,82 +0.000312,82 +0.000312,82 +0.000312,82 +0.000353,82 +0.000410,82 +0.000312,82 +0.000348,82 +0.000314,82 +0.000352,82 +0.000454,82 +0.000326,82 +0.000377,84 +0.000335,84 +0.000336,84 +0.000340,84 +0.000470,84 +0.000336,84 +0.000376,84 +0.000335,84 +0.000336,84 +0.000492,84 +0.000336,84 +0.000336,84 +0.000336,84 +0.000336,84 +0.000359,84 +0.000449,84 +0.000375,84 +0.000438,84 +0.000415,84 +0.000430,84 +0.000406,84 +0.000336,84 +0.000335,84 +0.000336,84 +0.000343,84 +0.000608,84 +0.000601,84 +0.000591,84 +0.000681,84 +0.000572,84 +0.000592,84 +0.000335,84 +0.000335,84 +0.000335,84 +0.000389,84 +0.000549,84 +0.000385,84 +0.000390,84 +0.000335,84 +0.000375,84 +0.000360,84 +0.000399,84 +0.000399,84 +0.000348,84 +0.000383,84 +0.000377,84 +0.000349,84 +0.000488,84 +0.000384,84 +0.000335,84 +0.000442,84 +0.000337,84 +0.000336,84 +0.000336,84 +0.000336,84 +0.000451,84 +0.000413,84 +0.000463,84 +0.000488,84 +0.000388,84 +0.000385,84 +0.000336,84 +0.000335,84 +0.000624,84 +0.000716,84 +0.000602,84 +0.000619,84 +0.000336,84 +0.000479,84 +0.000336,84 +0.000336,84 +0.000335,84 +0.000336,84 +0.000445,84 +0.000424,84 +0.000336,84 +0.000446,84 +0.000336,84 +0.000373,84 +0.000336,84 +0.000356,84 +0.000335,84 +0.000372,84 +0.000336,84 +0.000522,84 +0.000336,84 +0.000341,84 +0.000438,84 +0.000336,84 +0.000444,84 +0.000336,84 +0.000336,84 +0.000336,84 +0.000335,84 +0.000375,84 +0.000489,84 +0.000336,84 +0.000335,84 +0.000359,84 +0.000494,84 +0.000477,86 +0.000420,86 +0.000358,86 +0.000358,86 +0.000406,86 +0.000458,86 +0.000697,86 +0.000648,86 +0.000407,86 +0.000369,86 +0.000358,86 +0.000499,86 +0.000358,86 +0.000526,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000395,86 +0.000379,86 +0.000358,86 +0.000434,86 +0.000358,86 +0.000358,86 +0.000489,86 +0.000388,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000387,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000532,86 +0.000368,86 +0.000378,86 +0.000379,86 +0.000393,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000472,86 +0.000666,86 +0.000555,86 +0.000358,86 +0.000358,86 +0.000391,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000393,86 +0.000407,86 +0.000358,86 +0.000392,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000384,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000401,86 +0.000502,86 +0.000358,86 +0.000434,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000610,86 +0.000596,86 +0.000358,86 +0.000444,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000358,86 +0.000393,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000452,88 +0.000402,88 +0.000382,88 +0.000416,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000381,88 +0.000412,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000434,88 +0.000480,88 +0.000382,88 +0.000421,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000426,88 +0.000730,88 +0.000542,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000417,88 +0.000382,88 +0.000416,88 +0.000382,88 +0.000402,88 +0.000382,88 +0.000415,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000431,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000381,88 +0.000382,88 +0.000382,88 +0.000381,88 +0.000382,88 +0.000456,88 +0.000544,88 +0.000403,88 +0.000414,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000381,88 +0.000442,88 +0.000729,88 +0.000707,88 +0.000537,88 +0.000382,88 +0.000382,88 +0.000381,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000628,88 +0.000746,88 +0.000518,88 +0.000409,88 +0.000569,88 +0.000488,88 +0.000509,88 +0.000535,88 +0.000407,88 +0.000392,88 +0.000466,88 +0.000425,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000382,88 +0.000458,90 +0.000408,90 +0.000408,90 +0.000590,90 +0.000408,90 +0.000488,90 +0.000408,90 +0.000428,90 +0.000408,90 +0.000447,90 +0.000408,90 +0.000447,90 +0.000510,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000450,90 +0.000408,90 +0.000409,90 +0.000408,90 +0.000408,90 +0.000448,90 +0.000428,90 +0.000408,90 +0.000444,90 +0.000446,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000446,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000582,90 +0.000417,90 +0.000428,90 +0.000428,90 +0.000408,90 +0.000440,90 +0.000408,90 +0.000408,90 +0.000438,90 +0.000569,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000444,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000442,90 +0.000418,90 +0.000420,90 +0.000475,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000446,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000534,90 +0.000467,90 +0.000427,90 +0.000429,90 +0.000440,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000418,90 +0.000500,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000441,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000408,90 +0.000445,92 +0.000435,92 +0.000466,92 +0.000452,92 +0.000476,92 +0.000467,92 +0.000435,92 +0.000435,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000470,92 +0.000444,92 +0.000435,92 +0.000434,92 +0.000435,92 +0.000463,92 +0.000532,92 +0.000593,92 +0.000465,92 +0.000486,92 +0.000435,92 +0.000435,92 +0.000435,92 +0.000435,92 +0.000484,92 +0.000526,92 +0.000434,92 +0.000434,92 +0.000457,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000435,92 +0.000435,92 +0.000434,92 +0.000537,92 +0.000475,92 +0.000434,92 +0.000503,92 +0.000435,92 +0.000435,92 +0.000434,92 +0.000434,92 +0.000465,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000579,92 +0.000434,92 +0.000474,92 +0.000434,92 +0.000435,92 +0.000434,92 +0.000434,92 +0.000435,92 +0.000537,92 +0.000470,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000454,92 +0.000434,92 +0.000470,92 +0.000434,92 +0.000468,92 +0.000478,92 +0.000435,92 +0.000466,92 +0.000434,92 +0.000454,92 +0.000434,92 +0.000473,92 +0.000446,92 +0.000451,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000482,92 +0.000619,92 +0.000445,92 +0.000463,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000434,92 +0.000484,94 +0.000565,94 +0.000493,94 +0.000463,94 +0.000463,94 +0.000463,94 +0.000463,94 +0.000463,94 +0.000463,94 +0.000507,94 +0.000740,94 +0.000755,94 +0.000503,94 +0.000684,94 +0.000541,94 +0.000739,94 +0.000463,94 +0.000472,94 +0.000596,94 +0.000465,94 +0.000463,94 +0.000463,94 +0.000463,94 +0.000496,94 +0.000463,94 +0.000580,94 +0.000588,94 +0.000511,94 +0.000507,94 +0.000462,94 +0.000482,94 +0.000495,94 +0.000502,94 +0.000566,94 +0.000463,94 +0.000478,94 +0.000475,94 +0.000477,94 +0.000462,94 +0.000487,94 +0.000463,94 +0.000462,94 +0.000462,94 +0.000463,94 +0.000530,94 +0.000508,94 +0.000463,94 +0.000538,94 +0.000463,94 +0.000463,94 +0.000463,94 +0.000463,94 +0.000463,94 +0.000463,94 +0.000463,94 +0.000463,94 +0.000496,94 +0.000475,94 +0.000478,94 +0.000526,94 +0.000581,94 +0.000483,94 +0.000487,94 +0.000462,94 +0.000494,94 +0.000463,94 +0.000463,94 +0.000565,94 +0.000606,94 +0.000495,94 +0.000463,94 +0.000563,94 +0.000500,94 +0.000657,94 +0.000624,94 +0.000506,94 +0.000488,94 +0.000515,94 +0.000580,94 +0.000657,94 +0.000534,94 +0.000529,94 +0.000533,94 +0.000540,94 +0.000562,94 +0.000494,94 +0.000537,94 +0.000565,94 +0.000878,94 +0.000931,94 +0.000894,94 +0.000959,94 +0.000763,94 +0.000537,94 +0.000584,94 +0.000978,94 +0.001019,94 +0.001073,94 +0.000778,94 +0.000477,94 +0.000535,96 +0.000582,96 +0.000641,96 +0.000605,96 +0.000597,96 +0.000584,96 +0.000516,96 +0.000534,96 +0.000892,96 +0.000842,96 +0.000522,96 +0.000502,96 +0.000502,96 +0.000609,96 +0.000636,96 +0.000555,96 +0.000502,96 +0.000502,96 +0.000502,96 +0.000502,96 +0.000514,96 +0.000489,96 +0.000504,96 +0.000564,96 +0.000502,96 +0.000707,96 +0.000916,96 +0.000739,96 +0.000601,96 +0.000697,96 +0.000612,96 +0.000552,96 +0.000490,96 +0.000489,96 +0.000489,96 +0.000489,96 +0.000530,96 +0.000490,96 +0.000490,96 +0.000490,96 +0.000490,96 +0.000490,96 +0.000489,96 +0.000560,96 +0.000598,96 +0.000510,96 +0.000529,96 +0.000489,96 +0.000490,96 +0.000490,96 +0.000498,96 +0.000504,96 +0.000568,96 +0.000502,96 +0.000509,96 +0.000977,96 +0.000834,96 +0.000513,96 +0.000615,96 +0.000572,96 +0.000549,96 +0.000577,96 +0.000508,96 +0.000490,96 +0.000490,96 +0.000527,96 +0.000489,96 +0.000498,96 +0.000502,96 +0.000510,96 +0.000490,96 +0.000489,96 +0.000490,96 +0.000549,96 +0.000661,96 +0.000490,96 +0.000534,96 +0.000490,96 +0.000490,96 +0.000490,96 +0.000498,96 +0.000546,96 +0.000549,96 +0.000550,96 +0.000503,96 +0.000772,96 +0.000877,96 +0.000647,96 +0.000529,96 +0.001050,96 +0.000608,96 +0.000727,96 +0.000565,96 +0.000638,96 +0.000607,96 +0.000500,96 +0.000668,96 +0.000520,96 +0.000490,96 +0.000490,96 +0.000576,98 +0.000523,98 +0.000704,98 +0.000562,98 +0.000563,98 +0.000523,98 +0.000523,98 +0.000564,98 +0.000581,98 +0.000601,98 +0.000634,98 +0.000532,98 +0.000543,98 +0.000626,98 +0.000597,98 +0.000598,98 +0.000631,98 +0.000684,98 +0.000586,98 +0.000643,98 +0.000603,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000555,98 +0.000523,98 +0.000523,98 +0.000663,98 +0.000564,98 +0.000582,98 +0.000538,98 +0.000563,98 +0.000523,98 +0.000563,98 +0.000601,98 +0.000588,98 +0.000581,98 +0.000543,98 +0.000586,98 +0.000556,98 +0.000582,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000725,98 +0.000686,98 +0.000551,98 +0.000551,98 +0.000562,98 +0.000550,98 +0.000536,98 +0.000536,98 +0.000567,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000533,98 +0.000722,98 +0.000543,98 +0.000594,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000562,98 +0.000543,98 +0.000605,98 +0.000593,98 +0.000553,98 +0.000562,98 +0.000701,98 +0.000523,98 +0.000763,98 +0.000631,98 +0.000759,98 +0.000582,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000565,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000523,98 +0.000702,98 +0.000568,98 +0.000563,98 +0.000523,98 +0.000523,98 +0.000552,98 +0.000552,98 +0.000722,98 +0.000579,98 +0.000602,98 +0.000600,100 +0.000567,100 +0.000610,100 +0.000552,100 +0.000695,100 +0.000765,100 +0.000756,100 +0.000605,100 +0.000552,100 +0.000552,100 +0.000552,100 +0.000591,100 +0.000552,100 +0.000552,100 +0.000552,100 +0.000552,100 +0.000552,100 +0.000552,100 +0.000663,100 +0.000571,100 +0.000591,100 +0.000552,100 +0.000552,100 +0.000592,100 +0.000620,100 +0.000613,100 +0.000572,100 +0.000716,100 +0.000567,100 +0.000675,100 +0.000552,100 +0.000552,100 +0.000766,100 +0.000738,100 +0.000699,100 +0.000611,100 +0.000552,100 +0.000552,100 +0.000598,100 +0.000552,100 +0.000552,100 +0.000552,100 +0.000552,100 +0.000552,100 +0.000552,100 +0.000643,100 +0.000704,100 +0.000612,100 +0.000552,100 +0.000552,100 +0.000552,100 +0.000591,100 +0.000704,100 +0.000632,100 +0.000552,100 +0.000711,100 +0.000567,100 +0.000650,100 +0.000635,100 +0.000670,100 +0.001211,100 +0.000648,100 +0.000753,100 +0.000768,100 +0.000696,100 +0.000578,100 +0.000625,100 +0.000567,100 +0.000567,100 +0.000603,100 +0.000567,100 +0.000627,100 +0.000567,100 +0.000593,100 +0.000567,100 +0.000567,100 +0.000594,100 +0.000573,100 +0.000749,100 +0.000572,100 +0.000587,100 +0.000678,100 +0.000579,100 +0.000580,100 +0.000552,100 +0.000642,100 +0.000743,100 +0.000706,100 +0.000611,100 +0.000592,100 +0.000553,100 +0.000552,100 +0.000552,100 +0.000553,100 +0.000552,100 +0.000553,100 +0.000595,100 +0.000553,100 +0.000553,100 +0.000752,100 +0.000619,102 +0.000624,102 +0.000599,102 +0.000604,102 +0.000623,102 +0.000663,102 +0.000725,102 +0.000620,102 +0.000668,102 +0.000805,102 +0.000604,102 +0.000584,102 +0.000627,102 +0.000769,102 +0.000735,102 +0.000616,102 +0.000610,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000622,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000741,102 +0.000642,102 +0.000647,102 +0.000604,102 +0.000584,102 +0.000623,102 +0.000662,102 +0.000776,102 +0.000644,102 +0.000625,102 +0.000584,102 +0.000585,102 +0.000584,102 +0.000584,102 +0.000739,102 +0.000766,102 +0.000677,102 +0.000624,102 +0.000585,102 +0.000584,102 +0.000584,102 +0.000620,102 +0.000585,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000606,102 +0.000776,102 +0.000668,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000624,102 +0.000783,102 +0.000739,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000660,102 +0.000688,102 +0.000643,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000618,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000584,102 +0.000674,102 +0.000626,102 +0.000731,102 +0.000665,102 +0.000584,102 +0.000623,102 +0.000663,102 +0.000700,102 +0.000696,102 +0.000584,102 +0.000584,102 +0.000585,102 +0.000595,102 +0.000630,102 +0.000584,102 +0.000623,102 +0.000604,102 +0.000623,102 +0.000585,102 +0.000584,102 +0.000627,102 +0.000584,102 +0.000631,104 +0.000617,104 +0.000617,104 +0.000617,104 +0.000663,104 +0.000839,104 +0.000650,104 +0.000641,104 +0.000617,104 +0.000617,104 +0.000691,104 +0.000753,104 +0.000980,104 +0.000890,104 +0.000617,104 +0.000650,104 +0.000626,104 +0.000617,104 +0.001098,104 +0.000670,104 +0.000933,104 +0.000782,104 +0.000709,104 +0.000728,104 +0.000733,104 +0.000617,104 +0.000644,104 +0.000617,104 +0.000784,104 +0.000660,104 +0.000646,104 +0.000617,104 +0.000648,104 +0.000784,104 +0.000789,104 +0.000865,104 +0.000654,104 +0.000633,104 +0.000655,104 +0.000617,104 +0.000618,104 +0.000638,104 +0.000656,104 +0.000617,104 +0.000698,104 +0.000617,104 +0.000617,104 +0.000617,104 +0.000617,104 +0.000617,104 +0.000653,104 +0.000617,104 +0.000617,104 +0.000808,104 +0.000636,104 +0.000657,104 +0.000654,104 +0.000617,104 +0.000794,104 +0.000804,104 +0.000651,104 +0.000640,104 +0.000643,104 +0.000617,104 +0.000617,104 +0.000617,104 +0.000617,104 +0.000656,104 +0.000681,104 +0.000656,104 +0.000617,104 +0.000617,104 +0.000617,104 +0.000617,104 +0.000617,104 +0.000642,104 +0.000617,104 +0.000617,104 +0.000680,104 +0.000785,104 +0.000661,104 +0.000648,104 +0.000617,104 +0.000656,104 +0.000754,104 +0.000617,104 +0.000617,104 +0.000644,104 +0.000617,104 +0.000633,104 +0.000617,104 +0.000617,104 +0.000617,104 +0.000685,104 +0.000637,104 +0.000656,104 +0.000617,104 +0.000617,104 +0.000617,104 +0.000630,104 +0.000679,106 +0.000652,106 +0.000652,106 +0.000651,106 +0.000836,106 +0.000702,106 +0.000674,106 +0.000691,106 +0.000803,106 +0.000652,106 +0.000652,106 +0.000696,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000681,106 +0.000691,106 +0.000671,106 +0.000690,106 +0.000651,106 +0.000653,106 +0.000679,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000744,106 +0.000651,106 +0.000652,106 +0.000651,106 +0.000652,106 +0.000652,106 +0.000656,106 +0.000654,106 +0.000652,106 +0.000651,106 +0.000652,106 +0.000652,106 +0.000654,106 +0.000652,106 +0.000691,106 +0.000652,106 +0.000691,106 +0.000651,106 +0.000656,106 +0.000652,106 +0.000651,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000654,106 +0.000711,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000656,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000656,106 +0.000654,106 +0.000652,106 +0.000652,106 +0.001086,106 +0.000704,106 +0.000987,106 +0.000778,106 +0.000766,106 +0.000692,106 +0.000831,106 +0.000699,106 +0.000692,106 +0.000752,106 +0.000652,106 +0.000651,106 +0.000652,106 +0.000652,106 +0.000685,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000652,106 +0.000690,106 +0.000652,106 +0.000652,106 +0.000651,106 +0.000691,106 +0.000652,106 +0.000696,106 +0.000652,106 +0.000652,106 +0.000651,106 +0.000652,106 +0.000652,106 +0.000730,108 +0.000690,108 +0.000752,108 +0.000689,108 +0.000689,108 +0.000726,108 +0.000690,108 +0.000689,108 +0.000690,108 +0.000690,108 +0.000769,108 +0.000729,108 +0.000690,108 +0.000690,108 +0.000690,108 +0.000690,108 +0.000728,108 +0.000711,108 +0.000728,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000694,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000753,108 +0.000709,108 +0.000715,108 +0.000690,108 +0.000690,108 +0.000690,108 +0.000690,108 +0.000690,108 +0.000696,108 +0.000690,108 +0.000690,108 +0.000690,108 +0.000690,108 +0.000700,108 +0.000721,108 +0.000728,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000694,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000752,108 +0.000692,108 +0.000690,108 +0.000690,108 +0.000689,108 +0.000690,108 +0.000689,108 +0.000694,108 +0.000690,108 +0.000690,108 +0.000690,108 +0.000690,108 +0.000689,108 +0.000731,108 +0.000690,108 +0.000729,108 +0.000690,108 +0.000690,108 +0.000694,108 +0.000689,108 +0.000689,108 +0.000690,108 +0.000689,108 +0.000690,108 +0.000711,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000693,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000691,108 +0.000721,108 +0.000698,108 +0.000728,108 +0.000689,108 +0.000694,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000689,108 +0.000691,108 +0.000689,108 +0.000689,108 +0.000739,110 +0.000726,110 +0.000726,110 +0.000731,110 +0.000726,110 +0.000785,110 +0.000726,110 +0.000726,110 +0.000729,110 +0.000727,110 +0.000726,110 +0.000765,110 +0.000726,110 +0.000767,110 +0.000882,110 +0.000767,110 +0.000752,110 +0.000763,110 +0.000796,110 +0.000783,110 +0.000819,110 +0.000881,110 +0.000726,110 +0.000726,110 +0.000764,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000761,110 +0.000780,110 +0.000726,110 +0.000748,110 +0.000757,110 +0.000757,110 +0.000772,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000764,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000772,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000729,110 +0.000788,110 +0.000890,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000769,110 +0.000754,110 +0.000767,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000749,110 +0.000726,110 +0.000728,110 +0.000737,110 +0.000922,110 +0.000800,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000749,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000766,110 +0.000746,110 +0.000765,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000763,110 +0.000729,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000765,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000749,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000726,110 +0.000751,110 +0.000817,112 +0.000763,112 +0.000803,112 +0.000764,112 +0.000766,112 +0.000763,112 +0.000764,112 +0.000763,112 +0.000763,112 +0.000809,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000765,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000768,112 +0.000763,112 +0.000802,112 +0.000802,112 +0.000763,112 +0.000766,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000767,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000767,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000767,112 +0.000763,112 +0.000802,112 +0.000763,112 +0.000895,112 +0.000818,112 +0.000801,112 +0.000821,112 +0.000797,112 +0.000868,112 +0.000816,112 +0.000763,112 +0.000783,112 +0.000763,112 +0.000763,112 +0.000786,112 +0.000764,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000788,112 +0.000764,112 +0.000763,112 +0.000802,112 +0.000763,112 +0.000825,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000857,112 +0.000764,112 +0.000764,112 +0.000763,112 +0.000763,112 +0.000788,112 +0.000764,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000801,112 +0.000822,112 +0.000946,112 +0.000824,112 +0.000814,112 +0.000841,112 +0.000804,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000800,112 +0.000763,112 +0.000763,112 +0.000837,112 +0.000916,112 +0.000820,112 +0.000763,112 +0.000763,112 +0.000763,112 +0.000827,114 +0.000849,114 +0.000812,114 +0.000811,114 +0.000812,114 +0.000811,114 +0.000885,114 +0.000831,114 +0.000851,114 +0.000812,114 +0.000812,114 +0.000850,114 +0.000812,114 +0.000812,114 +0.000812,114 +0.000812,114 +0.000836,114 +0.000812,114 +0.000812,114 +0.000812,114 +0.000812,114 +0.000847,114 +0.000811,114 +0.000811,114 +0.000811,114 +0.000811,114 +0.000874,114 +0.000811,114 +0.000851,114 +0.000812,114 +0.000839,114 +0.000811,114 +0.000812,114 +0.000811,114 +0.000811,114 +0.000834,114 +0.000812,114 +0.000811,114 +0.000811,114 +0.000862,114 +0.000836,114 +0.000812,114 +0.000812,114 +0.000812,114 +0.000812,114 +0.000839,114 +0.000812,114 +0.000851,114 +0.000851,114 +0.000812,114 +0.000837,114 +0.000811,114 +0.000811,114 +0.000811,114 +0.000811,114 +0.000839,114 +0.000812,114 +0.000811,114 +0.000811,114 +0.000811,114 +0.000816,114 +0.000812,114 +0.000812,114 +0.000811,114 +0.000864,114 +0.000812,114 +0.000812,114 +0.000850,114 +0.000812,114 +0.000858,114 +0.000978,114 +0.000837,114 +0.000856,114 +0.000860,114 +0.000867,114 +0.000872,114 +0.000832,114 +0.000812,114 +0.000812,114 +0.000847,114 +0.000811,114 +0.000811,114 +0.000811,114 +0.000835,114 +0.000811,114 +0.000812,114 +0.000811,114 +0.000851,114 +0.000876,114 +0.000811,114 +0.000811,114 +0.000811,114 +0.000811,114 +0.000845,114 +0.000814,114 +0.000811,114 +0.000811,114 +0.000811,114 +0.000816,114 +0.000811,114 +0.000870,116 +0.000850,116 +0.000850,116 +0.000932,116 +0.000851,116 +0.000850,116 +0.000850,116 +0.000925,116 +0.000890,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000852,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000854,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000931,116 +0.000851,116 +0.000851,116 +0.000850,116 +0.000850,116 +0.000920,116 +0.000850,116 +0.000889,116 +0.000850,116 +0.000850,116 +0.000873,116 +0.000851,116 +0.000850,116 +0.000851,116 +0.000855,116 +0.000851,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000853,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000855,116 +0.000890,116 +0.000889,116 +0.000850,116 +0.000852,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000854,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000852,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000855,116 +0.000850,116 +0.000890,116 +0.000850,116 +0.000889,116 +0.000853,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000856,116 +0.000851,116 +0.000850,116 +0.000865,116 +0.000855,116 +0.000851,116 +0.000850,116 +0.000851,116 +0.000850,116 +0.000857,116 +0.000850,116 +0.000870,116 +0.000875,116 +0.000889,116 +0.000852,116 +0.000897,116 +0.000883,116 +0.000907,116 +0.000925,116 +0.000870,116 +0.000907,116 +0.000859,116 +0.000850,116 +0.000873,116 +0.000850,116 +0.000850,116 +0.000850,116 +0.000932,118 +0.000889,118 +0.000890,118 +0.000928,118 +0.000889,118 +0.000951,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000925,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000891,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000919,118 +0.000971,118 +0.000889,118 +0.000889,118 +0.000950,118 +0.000928,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000894,118 +0.000889,118 +0.000890,118 +0.000889,118 +0.000891,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000894,118 +0.000889,118 +0.000890,118 +0.000889,118 +0.000951,118 +0.000889,118 +0.000929,118 +0.000889,118 +0.000889,118 +0.000893,118 +0.000889,118 +0.000913,118 +0.000889,118 +0.000897,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000897,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000895,118 +0.000928,118 +0.000889,118 +0.000928,118 +0.000895,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000895,118 +0.000889,118 +0.000889,118 +0.000906,118 +0.000898,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000900,118 +0.000889,118 +0.000928,118 +0.000928,118 +0.000891,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000893,118 +0.000889,118 +0.000888,118 +0.000889,118 +0.000891,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000889,118 +0.000894,118 +0.000889,118 +0.000933,118 +0.000889,118 +0.000930,118 +0.000889,118 +0.000995,120 +0.000992,120 +0.001008,120 +0.000973,120 +0.000965,120 +0.001004,120 +0.000957,120 +0.000935,120 +0.000935,120 +0.000935,120 +0.000935,120 +0.000964,120 +0.000935,120 +0.000937,120 +0.000974,120 +0.001011,120 +0.000935,120 +0.000937,120 +0.000935,120 +0.000958,120 +0.000935,120 +0.000936,120 +0.000935,120 +0.000940,120 +0.000936,120 +0.000935,120 +0.000935,120 +0.000935,120 +0.000973,120 +0.001014,120 +0.000936,120 +0.000975,120 +0.000969,120 +0.000974,120 +0.000936,120 +0.000935,120 +0.000969,120 +0.000935,120 +0.000935,120 +0.000935,120 +0.000940,120 +0.000935,120 +0.000935,120 +0.000935,120 +0.000958,120 +0.000935,120 +0.000935,120 +0.000965,120 +0.000935,120 +0.001004,120 +0.000975,120 +0.000935,120 +0.000935,120 +0.000997,120 +0.000935,120 +0.000935,120 +0.000935,120 +0.000941,120 +0.000935,120 +0.000937,120 +0.000935,120 +0.000937,120 +0.000935,120 +0.000937,120 +0.000935,120 +0.000935,120 +0.000937,120 +0.000974,120 +0.000974,120 +0.000935,120 +0.000940,120 +0.000935,120 +0.000935,120 +0.000935,120 +0.000937,120 +0.000935,120 +0.000935,120 +0.000935,120 +0.000940,120 +0.000935,120 +0.000935,120 +0.000935,120 +0.000934,120 +0.000937,120 +0.000974,120 +0.000935,120 +0.000974,120 +0.000940,120 +0.000935,120 +0.000961,120 +0.000936,120 +0.000941,120 +0.000938,120 +0.000935,120 +0.000938,120 +0.000941,120 +0.000936,120 +0.000936,120 +0.000995,120 +0.000941,120 +0.001005,122 +0.000983,122 +0.001022,122 +0.001049,122 +0.000983,122 +0.000983,122 +0.001040,122 +0.001136,122 +0.001051,122 +0.001031,122 +0.001070,122 +0.001012,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.001006,122 +0.000983,122 +0.000984,122 +0.001022,122 +0.001019,122 +0.001012,122 +0.000983,122 +0.000983,122 +0.001006,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.000988,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.001006,122 +0.001090,122 +0.001003,122 +0.000983,122 +0.001051,122 +0.001022,122 +0.000983,122 +0.000983,122 +0.000985,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.000985,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.000988,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.000985,122 +0.001027,122 +0.001022,122 +0.000983,122 +0.000987,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.000985,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.000987,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.000985,122 +0.000983,122 +0.001022,122 +0.001022,122 +0.000988,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.000990,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.001009,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.000986,122 +0.001022,122 +0.000983,122 +0.001022,122 +0.000989,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.000985,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.000985,122 +0.000983,122 +0.000983,122 +0.000983,122 +0.001059,124 +0.001033,124 +0.001073,124 +0.001073,124 +0.001036,124 +0.001033,124 +0.001033,124 +0.001158,124 +0.001078,124 +0.001099,124 +0.001071,124 +0.001124,124 +0.001057,124 +0.001033,124 +0.001033,124 +0.001057,124 +0.001034,124 +0.001034,124 +0.001072,124 +0.001098,124 +0.001034,124 +0.001034,124 +0.001057,124 +0.001034,124 +0.001034,124 +0.001034,124 +0.001038,124 +0.001034,124 +0.001034,124 +0.001034,124 +0.001068,124 +0.001092,124 +0.001033,124 +0.001033,124 +0.001109,124 +0.001073,124 +0.001033,124 +0.001033,124 +0.001036,124 +0.001033,124 +0.001033,124 +0.001033,124 +0.001038,124 +0.001033,124 +0.001033,124 +0.001036,124 +0.001034,124 +0.001033,124 +0.001033,124 +0.001038,124 +0.001072,124 +0.001072,124 +0.001034,124 +0.001036,124 +0.001034,124 +0.001034,124 +0.001034,124 +0.001038,124 +0.001034,124 +0.001034,124 +0.001034,124 +0.001036,124 +0.001033,124 +0.001034,124 +0.001034,124 +0.001038,124 +0.001073,124 +0.001073,124 +0.001036,124 +0.001034,124 +0.001034,124 +0.001034,124 +0.001061,124 +0.001033,124 +0.001033,124 +0.001033,124 +0.001036,124 +0.001033,124 +0.001033,124 +0.001033,124 +0.001059,124 +0.001033,124 +0.001073,124 +0.001072,124 +0.001067,124 +0.001033,124 +0.001033,124 +0.001033,124 +0.001038,124 +0.001033,124 +0.001033,124 +0.001036,124 +0.001033,124 +0.001033,124 +0.001033,124 +0.001038,124 +0.001033,124 +0.001033,124 +0.001073,124 +0.001075,124 +0.001105,126 +0.001084,126 +0.001175,126 +0.001258,126 +0.001130,126 +0.001150,126 +0.001208,126 +0.001215,126 +0.001107,126 +0.001083,126 +0.001121,126 +0.001168,126 +0.001122,126 +0.001185,126 +0.001123,126 +0.001111,126 +0.001149,126 +0.001120,126 +0.001168,126 +0.001139,126 +0.001147,126 +0.001169,126 +0.001084,126 +0.001149,126 +0.001201,126 +0.001249,126 +0.001189,126 +0.001217,126 +0.001123,126 +0.001168,126 +0.001228,126 +0.001204,126 +0.001151,126 +0.001149,126 +0.001206,126 +0.001173,126 +0.001381,126 +0.001185,126 +0.001208,126 +0.001172,126 +0.001250,126 +0.001249,126 +0.001187,126 +0.001148,126 +0.001207,126 +0.001239,126 +0.001200,126 +0.001223,126 +0.001148,126 +0.001199,126 +0.001234,126 +0.001242,126 +0.001171,126 +0.001173,126 +0.001230,126 +0.001272,126 +0.001191,126 +0.001209,126 +0.001169,126 +0.001210,126 +0.001245,126 +0.001253,126 +0.001148,126 +0.001197,126 +0.001235,126 +0.001149,126 +0.001150,126 +0.001207,126 +0.001209,126 +0.001245,126 +0.001266,126 +0.001189,126 +0.001210,126 +0.001300,126 +0.001375,126 +0.001252,126 +0.001221,126 +0.001355,126 +0.001453,126 +0.001288,126 +0.001281,126 +0.001253,126 +0.001228,126 +0.001283,126 +0.001296,126 +0.001215,126 +0.001245,126 +0.001442,126 +0.001202,126 +0.001205,126 +0.001170,126 +0.001228,126 +0.001194,126 +0.001167,126 +0.001169,126 +0.001238,126 +0.001135,126 +0.001112,126 +0.001131,126 +0.001218,126 +0.001382,128 +0.001331,128 +0.001270,128 +0.001313,128 +0.001256,128 +0.001326,128 +0.001293,128 +0.001140,128 +0.001395,128 +0.001199,128 +0.001249,128 +0.001276,128 +0.001238,128 +0.001316,128 +0.001350,128 +0.001339,128 +0.001203,128 +0.001262,128 +0.001302,128 +0.001210,128 +0.001162,128 +0.001297,128 +0.001271,128 +0.001223,128 +0.001257,128 +0.001159,128 +0.001138,128 +0.001228,128 +0.001189,128 +0.001330,128 +0.001185,128 +0.001196,128 +0.001140,128 +0.001139,128 +0.001293,128 +0.001178,128 +0.001178,128 +0.001178,128 +0.001139,128 +0.001138,128 +0.001139,128 +0.001262,128 +0.001179,128 +0.001139,128 +0.001172,128 +0.001140,128 +0.001139,128 +0.001139,128 +0.001178,128 +0.001179,128 +0.001158,128 +0.001211,128 +0.001139,128 +0.001139,128 +0.001139,128 +0.001175,128 +0.001139,128 +0.001140,128 +0.001161,128 +0.001139,128 +0.001139,128 +0.001138,128 +0.001183,128 +0.001139,128 +0.001178,128 +0.001173,128 +0.001139,128 +0.001240,128 +0.001419,128 +0.001814,128 +0.001751,128 +0.001291,128 +0.001630,128 +0.001826,128 +0.001257,128 +0.001138,128 +0.001217,128 +0.001177,128 +0.001138,128 +0.001137,128 +0.001177,128 +0.001278,128 +0.001591,128 +0.001900,128 +0.001170,128 +0.001295,128 +0.001161,128 +0.001207,128 +0.001140,128 +0.001270,128 +0.001356,128 +0.001140,128 +0.001186,128 +0.001140,128 +0.001188,128 +0.001189,128 +0.001161,128 +0.001139,128 +0.001160,128 +0.001239,128 +0.001271,130 +0.001282,130 +0.001341,130 +0.001218,130 +0.001237,130 +0.001244,130 +0.001288,130 +0.001208,130 +0.001301,130 +0.001274,130 +0.001237,130 +0.001239,130 +0.001224,130 +0.001258,130 +0.001198,130 +0.001244,130 +0.001263,130 +0.001237,130 +0.001243,130 +0.001323,130 +0.001227,130 +0.001264,130 +0.001210,130 +0.001232,130 +0.001414,130 +0.001217,130 +0.001218,130 +0.001241,130 +0.001198,130 +0.001239,130 +0.001235,130 +0.001243,130 +0.001323,130 +0.001197,130 +0.001231,130 +0.001198,130 +0.001264,130 +0.001457,130 +0.001198,130 +0.001198,130 +0.001387,130 +0.001198,130 +0.001232,130 +0.001277,130 +0.001321,130 +0.001276,130 +0.001322,130 +0.001198,130 +0.001198,130 +0.001263,130 +0.001405,130 +0.001230,130 +0.001230,130 +0.001298,130 +0.001347,130 +0.001305,130 +0.001444,130 +0.001218,130 +0.001217,130 +0.001365,130 +0.001294,130 +0.001370,130 +0.001236,130 +0.001350,130 +0.001473,130 +0.001258,130 +0.001375,130 +0.001332,130 +0.001422,130 +0.001261,130 +0.001310,130 +0.001338,130 +0.001298,130 +0.001352,130 +0.001393,130 +0.001251,130 +0.001344,130 +0.001407,130 +0.001295,130 +0.001275,130 +0.001400,130 +0.001198,130 +0.001439,130 +0.001305,130 +0.001198,130 +0.001288,130 +0.001342,130 +0.001197,130 +0.001290,130 +0.001473,130 +0.001198,130 +0.001307,130 +0.001305,130 +0.001238,130 +0.001395,130 +0.001226,130 +0.001198,130 +0.001313,130 +0.001309,130 +0.001307,130 +0.001281,132 +0.001541,132 +0.001270,132 +0.001248,132 +0.001384,132 +0.001249,132 +0.001442,132 +0.001331,132 +0.001250,132 +0.001361,132 +0.001277,132 +0.001374,132 +0.001268,132 +0.001442,132 +0.001249,132 +0.001249,132 +0.001248,132 +0.001292,132 +0.001249,132 +0.001328,132 +0.001322,132 +0.001249,132 +0.001248,132 +0.001282,132 +0.001376,132 +0.001268,132 +0.001433,132 +0.001352,132 +0.001316,132 +0.001407,132 +0.001313,132 +0.001351,132 +0.001462,132 +0.001270,132 +0.001269,132 +0.001285,132 +0.001357,132 +0.001288,132 +0.001282,132 +0.001390,132 +0.001249,132 +0.001288,132 +0.001248,132 +0.001332,132 +0.001302,132 +0.001329,132 +0.001249,132 +0.001287,132 +0.001249,132 +0.001353,132 +0.001323,132 +0.001249,132 +0.001250,132 +0.001285,132 +0.001249,132 +0.001249,132 +0.001282,132 +0.001268,132 +0.001332,132 +0.001249,132 +0.001284,132 +0.001248,132 +0.001249,132 +0.001282,132 +0.001249,132 +0.001250,132 +0.001276,132 +0.001249,132 +0.001249,132 +0.001272,132 +0.001268,132 +0.001288,132 +0.001274,132 +0.001249,132 +0.001249,132 +0.001271,132 +0.001249,132 +0.001248,132 +0.001249,132 +0.001254,132 +0.001248,132 +0.001249,132 +0.001272,132 +0.001249,132 +0.001268,132 +0.001338,132 +0.001249,132 +0.001248,132 +0.001272,132 +0.001249,132 +0.001249,132 +0.001254,132 +0.001249,132 +0.001249,132 +0.001251,132 +0.001249,132 +0.001249,132 +0.001268,132 +0.001313,132 +0.001249,132 +0.001338,134 +0.001311,134 +0.001308,134 +0.001308,134 +0.001524,134 +0.001376,134 +0.001356,134 +0.001469,134 +0.001308,134 +0.001395,134 +0.001349,134 +0.001330,134 +0.001510,134 +0.001382,134 +0.001308,134 +0.001352,134 +0.001347,134 +0.001410,134 +0.001334,134 +0.001391,134 +0.001308,134 +0.001364,134 +0.001347,134 +0.001308,134 +0.001433,134 +0.001308,134 +0.001411,134 +0.001380,134 +0.001308,134 +0.001411,134 +0.001345,134 +0.001361,134 +0.001307,134 +0.001344,134 +0.001372,134 +0.001346,134 +0.001334,134 +0.001307,134 +0.001413,134 +0.001371,134 +0.001308,134 +0.001404,134 +0.001348,134 +0.001328,134 +0.001308,134 +0.001344,134 +0.001359,134 +0.001355,134 +0.001334,134 +0.001307,134 +0.001307,134 +0.001416,134 +0.001328,134 +0.001409,134 +0.001343,134 +0.001365,134 +0.001308,134 +0.001346,134 +0.001327,134 +0.001388,134 +0.001335,134 +0.001308,134 +0.001308,134 +0.001449,134 +0.001348,134 +0.001340,134 +0.001449,134 +0.001307,134 +0.001322,134 +0.001437,134 +0.001322,134 +0.001406,134 +0.001347,134 +0.001307,134 +0.001464,134 +0.001407,134 +0.001348,134 +0.001368,134 +0.001487,134 +0.001438,134 +0.001416,134 +0.001460,134 +0.001642,134 +0.001396,134 +0.001350,134 +0.001414,134 +0.001494,134 +0.001531,134 +0.001366,134 +0.001430,134 +0.001381,134 +0.001490,134 +0.001450,134 +0.001369,134 +0.001503,134 +0.001601,134 +0.001517,134 +0.001411,134 +0.001652,134 +0.001479,134 +0.001538,136 +0.001451,136 +0.001496,136 +0.001529,136 +0.001574,136 +0.001464,136 +0.001494,136 +0.001499,136 +0.001571,136 +0.001559,136 +0.001518,136 +0.001445,136 +0.001431,136 +0.001540,136 +0.001456,136 +0.001468,136 +0.001405,136 +0.001430,136 +0.001429,136 +0.001392,136 +0.001369,136 +0.001417,136 +0.001369,136 +0.001514,136 +0.001561,136 +0.001406,136 +0.001490,136 +0.001528,136 +0.001512,136 +0.001735,136 +0.001451,136 +0.001446,136 +0.001588,136 +0.001405,136 +0.001478,136 +0.001445,136 +0.001426,136 +0.001501,136 +0.001555,136 +0.001631,136 +0.001559,136 +0.001444,136 +0.001439,136 +0.001472,136 +0.001405,136 +0.002002,136 +0.001684,136 +0.001495,136 +0.001602,136 +0.001464,136 +0.001550,136 +0.001497,136 +0.001465,136 +0.001462,136 +0.001777,136 +0.002520,136 +0.002108,136 +0.001403,136 +0.001556,136 +0.001532,136 +0.001485,136 +0.001530,136 +0.001473,136 +0.001464,136 +0.001452,136 +0.001369,136 +0.002016,136 +0.001433,136 +0.001533,136 +0.001503,136 +0.001523,136 +0.001506,136 +0.001492,136 +0.001368,136 +0.001444,136 +0.001471,136 +0.001368,136 +0.001980,136 +0.001405,136 +0.001533,136 +0.001496,136 +0.001527,136 +0.001513,136 +0.001481,136 +0.001369,136 +0.001475,136 +0.001472,136 +0.001369,136 +0.002042,136 +0.001405,136 +0.001531,136 +0.001522,136 +0.001476,136 +0.001575,136 +0.001431,136 +0.001369,136 +0.001482,136 +0.001431,136 +0.001368,136 +0.002021,136 +0.001514,138 +0.001650,138 +0.001551,138 +0.001637,138 +0.001606,138 +0.001429,138 +0.001473,138 +0.001531,138 +0.001468,138 +0.001802,138 +0.001543,138 +0.001567,138 +0.001600,138 +0.001570,138 +0.001761,138 +0.001498,138 +0.001508,138 +0.001505,138 +0.001777,138 +0.002262,138 +0.001464,138 +0.001616,138 +0.001670,138 +0.001590,138 +0.001705,138 +0.001457,138 +0.001458,138 +0.001426,138 +0.001721,138 +0.001468,138 +0.001848,138 +0.001652,138 +0.001651,138 +0.001635,138 +0.001545,138 +0.001519,138 +0.001486,138 +0.001428,138 +0.001640,138 +0.001514,138 +0.001677,138 +0.001697,138 +0.001626,138 +0.001468,138 +0.001502,138 +0.001592,138 +0.001525,138 +0.001428,138 +0.001428,138 +0.001586,138 +0.001448,138 +0.001775,138 +0.001582,138 +0.001572,138 +0.001489,138 +0.001526,138 +0.001542,138 +0.001500,138 +0.001429,138 +0.001462,138 +0.001708,138 +0.001428,138 +0.001802,138 +0.001744,138 +0.001468,138 +0.001454,138 +0.001551,138 +0.001566,138 +0.001428,138 +0.001448,138 +0.001684,138 +0.001488,138 +0.001535,138 +0.001780,138 +0.001649,138 +0.001484,138 +0.001455,138 +0.001677,138 +0.001542,138 +0.001429,138 +0.001722,138 +0.001618,138 +0.001505,138 +0.001809,138 +0.001637,138 +0.001648,138 +0.001510,138 +0.001488,138 +0.001589,138 +0.001429,138 +0.001472,138 +0.001452,138 +0.001738,138 +0.001428,138 +0.001784,138 +0.001685,138 +0.001426,138 +0.001426,138 +0.001519,138 +0.001512,138 +0.001563,140 +0.001492,140 +0.001726,140 +0.001577,140 +0.001791,140 +0.001657,140 +0.001654,140 +0.001508,140 +0.001534,140 +0.001586,140 +0.001572,140 +0.001492,140 +0.001492,140 +0.001694,140 +0.001491,140 +0.001866,140 +0.001774,140 +0.001491,140 +0.001550,140 +0.001545,140 +0.001579,140 +0.001511,140 +0.001491,140 +0.001779,140 +0.001515,140 +0.001853,140 +0.001671,140 +0.001677,140 +0.001491,140 +0.001491,140 +0.001635,140 +0.001491,140 +0.001491,140 +0.001702,140 +0.001624,140 +0.001690,140 +0.001754,140 +0.001662,140 +0.001551,140 +0.001553,140 +0.001698,140 +0.001552,140 +0.001530,140 +0.001492,140 +0.001767,140 +0.001529,140 +0.001832,140 +0.001804,140 +0.001491,140 +0.001536,140 +0.001573,140 +0.001594,140 +0.001522,140 +0.001492,140 +0.001757,140 +0.001588,140 +0.001795,140 +0.001798,140 +0.001491,140 +0.001553,140 +0.001522,140 +0.001627,140 +0.001520,140 +0.001492,140 +0.001721,140 +0.001573,140 +0.001679,140 +0.001630,140 +0.001491,140 +0.001491,140 +0.001515,140 +0.001663,140 +0.001605,140 +0.001488,140 +0.001488,140 +0.001664,140 +0.001777,140 +0.001624,140 +0.001492,140 +0.001653,140 +0.001681,140 +0.001615,140 +0.001893,140 +0.001503,140 +0.001758,140 +0.001751,140 +0.001726,140 +0.001625,140 +0.001786,140 +0.001747,140 +0.001649,140 +0.001676,140 +0.001830,140 +0.001711,140 +0.001648,140 +0.001767,140 +0.001934,140 +0.002862,140 +0.002059,140 +0.001580,140 +0.001746,142 +0.001996,142 +0.001840,142 +0.001968,142 +0.002185,142 +0.002980,142 +0.001803,142 +0.001790,142 +0.001804,142 +0.001690,142 +0.001770,142 +0.001839,142 +0.001808,142 +0.002382,142 +0.002844,142 +0.001718,142 +0.001732,142 +0.001741,142 +0.001729,142 +0.001723,142 +0.001685,142 +0.001658,142 +0.002594,142 +0.002747,142 +0.001830,142 +0.001847,142 +0.001883,142 +0.001670,142 +0.001867,142 +0.001723,142 +0.002894,142 +0.002569,142 +0.001765,142 +0.001787,142 +0.001901,142 +0.001879,142 +0.002013,142 +0.001895,142 +0.001922,142 +0.002034,142 +0.001923,142 +0.001942,142 +0.001998,142 +0.002005,142 +0.002019,142 +0.001986,142 +0.001897,142 +0.001892,142 +0.001736,142 +0.001796,142 +0.001669,142 +0.001709,142 +0.001752,142 +0.001864,142 +0.001761,142 +0.002032,142 +0.001679,142 +0.001722,142 +0.001687,142 +0.001759,142 +0.001791,142 +0.001981,142 +0.002008,142 +0.002015,142 +0.002084,142 +0.002184,142 +0.002038,142 +0.002001,142 +0.002046,142 +0.002055,142 +0.002038,142 +0.001952,142 +0.001788,142 +0.002505,142 +0.001885,142 +0.001688,142 +0.001738,142 +0.001726,142 +0.001853,142 +0.001762,142 +0.001856,142 +0.001809,142 +0.002486,142 +0.001766,142 +0.001758,142 +0.001725,142 +0.001789,142 +0.001824,142 +0.001703,142 +0.001824,142 +0.001721,142 +0.002387,142 +0.001682,142 +0.001762,142 +0.001794,142 +0.001795,142 +0.001745,142 +0.001700,142 +0.001879,142 +0.001720,142 +0.001862,144 +0.001783,144 +0.001818,144 +0.001788,144 +0.001835,144 +0.001743,144 +0.001714,144 +0.001984,144 +0.001873,144 +0.002296,144 +0.001929,144 +0.001804,144 +0.001860,144 +0.001873,144 +0.002026,144 +0.001922,144 +0.001990,144 +0.001850,144 +0.001841,144 +0.001818,144 +0.001828,144 +0.001869,144 +0.001881,144 +0.001881,144 +0.001819,144 +0.001855,144 +0.001772,144 +0.001820,144 +0.001894,144 +0.001840,144 +0.001848,144 +0.001992,144 +0.001875,144 +0.001749,144 +0.001878,144 +0.001840,144 +0.001868,144 +0.001814,144 +0.001870,144 +0.001820,144 +0.001867,144 +0.001851,144 +0.001843,144 +0.001905,144 +0.001859,144 +0.001851,144 +0.001825,144 +0.001843,144 +0.001842,144 +0.001934,144 +0.001805,144 +0.001837,144 +0.001922,144 +0.001871,144 +0.001777,144 +0.001845,144 +0.001885,144 +0.001735,144 +0.001769,144 +0.001764,144 +0.001813,144 +0.001879,144 +0.001738,144 +0.001768,144 +0.001809,144 +0.001720,144 +0.001778,144 +0.001797,144 +0.001730,144 +0.001760,144 +0.001766,144 +0.001806,144 +0.001822,144 +0.001879,144 +0.001857,144 +0.001858,144 +0.001913,144 +0.002014,144 +0.001948,144 +0.001844,144 +0.001948,144 +0.001865,144 +0.001881,144 +0.001819,144 +0.001908,144 +0.001920,144 +0.002060,144 +0.001885,144 +0.002011,144 +0.001915,144 +0.001939,144 +0.001870,144 +0.001824,144 +0.001755,144 +0.001816,144 +0.001959,144 +0.001760,144 +0.001881,144 +0.001774,144 +0.001748,144 +0.001905,146 +0.001885,146 +0.001791,146 +0.001961,146 +0.001898,146 +0.001862,146 +0.001960,146 +0.001887,146 +0.001832,146 +0.001839,146 +0.001875,146 +0.001855,146 +0.001900,146 +0.001870,146 +0.001909,146 +0.001862,146 +0.001840,146 +0.001859,146 +0.001834,146 +0.001819,146 +0.001862,146 +0.002148,146 +0.002027,146 +0.001807,146 +0.001939,146 +0.001817,146 +0.001863,146 +0.001835,146 +0.001857,146 +0.001835,146 +0.001915,146 +0.001869,146 +0.001875,146 +0.001886,146 +0.001841,146 +0.001889,146 +0.001834,146 +0.001888,146 +0.001857,146 +0.001886,146 +0.001835,146 +0.001885,146 +0.001837,146 +0.001852,146 +0.001886,146 +0.001918,146 +0.001821,146 +0.001919,146 +0.001934,146 +0.001846,146 +0.001958,146 +0.001918,146 +0.001878,146 +0.001852,146 +0.001881,146 +0.001852,146 +0.001906,146 +0.001880,146 +0.001850,146 +0.001868,146 +0.001860,146 +0.001854,146 +0.001806,146 +0.001794,146 +0.001779,146 +0.001919,146 +0.001855,146 +0.001830,146 +0.002055,146 +0.001954,146 +0.002077,146 +0.001872,146 +0.001821,146 +0.001880,146 +0.001840,146 +0.001889,146 +0.001818,146 +0.001952,146 +0.001826,146 +0.001766,146 +0.001839,146 +0.001794,146 +0.001780,146 +0.001905,146 +0.002034,146 +0.001896,146 +0.001952,146 +0.001833,146 +0.001926,146 +0.002057,146 +0.001924,146 +0.001887,146 +0.001996,146 +0.001829,146 +0.001916,146 +0.001874,146 +0.001916,146 +0.001858,146 +0.001760,146 +0.001866,146 +0.001911,148 +0.001937,148 +0.001896,148 +0.001991,148 +0.001954,148 +0.001922,148 +0.001847,148 +0.001874,148 +0.001895,148 +0.001870,148 +0.001988,148 +0.002018,148 +0.001926,148 +0.001982,148 +0.001928,148 +0.001948,148 +0.001908,148 +0.001924,148 +0.001959,148 +0.001879,148 +0.001966,148 +0.002189,148 +0.001985,148 +0.001938,148 +0.001946,148 +0.001902,148 +0.002000,148 +0.001996,148 +0.001961,148 +0.002127,148 +0.002068,148 +0.001933,148 +0.001979,148 +0.001960,148 +0.002116,148 +0.001997,148 +0.001877,148 +0.002011,148 +0.001897,148 +0.001895,148 +0.001912,148 +0.001844,148 +0.001869,148 +0.001946,148 +0.002006,148 +0.001886,148 +0.001975,148 +0.001852,148 +0.001875,148 +0.001893,148 +0.001875,148 +0.001826,148 +0.001950,148 +0.001973,148 +0.001922,148 +0.001887,148 +0.001872,148 +0.001906,148 +0.001862,148 +0.001892,148 +0.001886,148 +0.002109,148 +0.002104,148 +0.002171,148 +0.002114,148 +0.002102,148 +0.002161,148 +0.002132,148 +0.001975,148 +0.001950,148 +0.001905,148 +0.001915,148 +0.002150,148 +0.001955,148 +0.001946,148 +0.001897,148 +0.001895,148 +0.001987,148 +0.001925,148 +0.001853,148 +0.001973,148 +0.001946,148 +0.001916,148 +0.001968,148 +0.001909,148 +0.001935,148 +0.002010,148 +0.002004,148 +0.001991,148 +0.002028,148 +0.001887,148 +0.001935,148 +0.001936,148 +0.001911,148 +0.001951,148 +0.002074,148 +0.001929,148 +0.001922,148 +0.001936,148 +0.001940,148 +0.002027,150 +0.002057,150 +0.001981,150 +0.002110,150 +0.002039,150 +0.002057,150 +0.002001,150 +0.002028,150 +0.002001,150 +0.002032,150 +0.001992,150 +0.002110,150 +0.001971,150 +0.002019,150 +0.001990,150 +0.002015,150 +0.001988,150 +0.002021,150 +0.001989,150 +0.002062,150 +0.002077,150 +0.001940,150 +0.001878,150 +0.002521,150 +0.002403,150 +0.002418,150 +0.002415,150 +0.002567,150 +0.002108,150 +0.002078,150 +0.002005,150 +0.001971,150 +0.002000,150 +0.001971,150 +0.001997,150 +0.002000,150 +0.002029,150 +0.002118,150 +0.002058,150 +0.002057,150 +0.002034,150 +0.002066,150 +0.002027,150 +0.002163,150 +0.002074,150 +0.002055,150 +0.002094,150 +0.002064,150 +0.002016,150 +0.002077,150 +0.002030,150 +0.002068,150 +0.002005,150 +0.002058,150 +0.002059,150 +0.002117,150 +0.001977,150 +0.001992,150 +0.001878,150 +0.002084,150 +0.001979,150 +0.001900,150 +0.001888,150 +0.002066,150 +0.001897,150 +0.001901,150 +0.001878,150 +0.002055,150 +0.002006,150 +0.001984,150 +0.001986,150 +0.001984,150 +0.002203,150 +0.002178,150 +0.002021,150 +0.001956,150 +0.002305,150 +0.002120,150 +0.002166,150 +0.002037,150 +0.001950,150 +0.002068,150 +0.002040,150 +0.002059,150 +0.002266,150 +0.002048,150 +0.002175,150 +0.002061,150 +0.002094,150 +0.002019,150 +0.002019,150 +0.001992,150 +0.002071,150 +0.001998,150 +0.002128,150 +0.001998,150 +0.002015,150 +0.001990,150 +0.002015,150 +0.001970,150 +0.002200,152 +0.002076,152 +0.002105,152 +0.002039,152 +0.002095,152 +0.002090,152 +0.002091,152 +0.002069,152 +0.002131,152 +0.002110,152 +0.002183,152 +0.002061,152 +0.002054,152 +0.002089,152 +0.002094,152 +0.002085,152 +0.002159,152 +0.002121,152 +0.002076,152 +0.002097,152 +0.002164,152 +0.002036,152 +0.002078,152 +0.002105,152 +0.002139,152 +0.002058,152 +0.002102,152 +0.002118,152 +0.002106,152 +0.002109,152 +0.002084,152 +0.002113,152 +0.002190,152 +0.002055,152 +0.002096,152 +0.002005,152 +0.002036,152 +0.002107,152 +0.002181,152 +0.002116,152 +0.002285,152 +0.002039,152 +0.002262,152 +0.002090,152 +0.002231,152 +0.002144,152 +0.002184,152 +0.002273,152 +0.002246,152 +0.002231,152 +0.002192,152 +0.002114,152 +0.002050,152 +0.002106,152 +0.002111,152 +0.002076,152 +0.002286,152 +0.002248,152 +0.002134,152 +0.002184,152 +0.002176,152 +0.002189,152 +0.002162,152 +0.002302,152 +0.002142,152 +0.002109,152 +0.002065,152 +0.002287,152 +0.002049,152 +0.002108,152 +0.002177,152 +0.002280,152 +0.002104,152 +0.002209,152 +0.002108,152 +0.002147,152 +0.002118,152 +0.002184,152 +0.002196,152 +0.002164,152 +0.002194,152 +0.002148,152 +0.002143,152 +0.002141,152 +0.002147,152 +0.002101,152 +0.002256,152 +0.002117,152 +0.002181,152 +0.002088,152 +0.002180,152 +0.002101,152 +0.002134,152 +0.002111,152 +0.002216,152 +0.002035,152 +0.002099,152 +0.002077,152 +0.002105,152 +0.002024,152 +0.002205,154 +0.002190,154 +0.002186,154 +0.002065,154 +0.002048,154 +0.002059,154 +0.002026,154 +0.002009,154 +0.001975,154 +0.002009,154 +0.002163,154 +0.002015,154 +0.002106,154 +0.002094,154 +0.001976,154 +0.002104,154 +0.002224,154 +0.002124,154 +0.002059,154 +0.002012,154 +0.002226,154 +0.001976,154 +0.001998,154 +0.001976,154 +0.001989,154 +0.001985,154 +0.002102,154 +0.001976,154 +0.002004,154 +0.001975,154 +0.001980,154 +0.001975,154 +0.001976,154 +0.001998,154 +0.001995,154 +0.002019,154 +0.002007,154 +0.002143,154 +0.001982,154 +0.001975,154 +0.001977,154 +0.001975,154 +0.002017,154 +0.002015,154 +0.001980,154 +0.001975,154 +0.001978,154 +0.001976,154 +0.001975,154 +0.001980,154 +0.001976,154 +0.002051,154 +0.002339,154 +0.002092,154 +0.002002,154 +0.002347,154 +0.002136,154 +0.001975,154 +0.002238,154 +0.002441,154 +0.002197,154 +0.002141,154 +0.002148,154 +0.002398,154 +0.002253,154 +0.002308,154 +0.002461,154 +0.002718,154 +0.002731,154 +0.002189,154 +0.002179,154 +0.002139,154 +0.002173,154 +0.002120,154 +0.002183,154 +0.002250,154 +0.002336,154 +0.002298,154 +0.002206,154 +0.002207,154 +0.002210,154 +0.002277,154 +0.002222,154 +0.002231,154 +0.002267,154 +0.002106,154 +0.002195,154 +0.002223,154 +0.002300,154 +0.002120,154 +0.002334,154 +0.002182,154 +0.002288,154 +0.002189,154 +0.002181,154 +0.002210,154 +0.002194,154 +0.002154,154 +0.002150,154 +0.002142,154 +0.002376,156 +0.002262,156 +0.002311,156 +0.002263,156 +0.002213,156 +0.002254,156 +0.002220,156 +0.002106,156 +0.002391,156 +0.002241,156 +0.002224,156 +0.002339,156 +0.002249,156 +0.002301,156 +0.002222,156 +0.002229,156 +0.002243,156 +0.002346,156 +0.002434,156 +0.002223,156 +0.002353,156 +0.002201,156 +0.002275,156 +0.002206,156 +0.002239,156 +0.002356,156 +0.002366,156 +0.002641,156 +0.002381,156 +0.002473,156 +0.002343,156 +0.002298,156 +0.002497,156 +0.002293,156 +0.002359,156 +0.002295,156 +0.002125,156 +0.002263,156 +0.002106,156 +0.002339,156 +0.002133,156 +0.002147,156 +0.002106,156 +0.002135,156 +0.002081,156 +0.002091,156 +0.002085,156 +0.002130,156 +0.002126,156 +0.002204,156 +0.002221,156 +0.002126,156 +0.002280,156 +0.002198,156 +0.002085,156 +0.002255,156 +0.002091,156 +0.002327,156 +0.002051,156 +0.002094,156 +0.002051,156 +0.002077,156 +0.002052,156 +0.002180,156 +0.002051,156 +0.002089,156 +0.002052,156 +0.002074,156 +0.002052,156 +0.002077,156 +0.002051,156 +0.002152,156 +0.002051,156 +0.002076,156 +0.002104,156 +0.002080,156 +0.002051,156 +0.002227,156 +0.002463,156 +0.002595,156 +0.002532,156 +0.003101,156 +0.002759,156 +0.002161,156 +0.002417,156 +0.002332,156 +0.002852,156 +0.002693,156 +0.002307,156 +0.002412,156 +0.002374,156 +0.002192,156 +0.002388,156 +0.002278,156 +0.003178,156 +0.002101,156 +0.002126,156 +0.002054,156 +0.002092,156 +0.002539,156 +0.002303,158 +0.002466,158 +0.002339,158 +0.002641,158 +0.002272,158 +0.002744,158 +0.003238,158 +0.002335,158 +0.002136,158 +0.002323,158 +0.002201,158 +0.002193,158 +0.002135,158 +0.002461,158 +0.002361,158 +0.002260,158 +0.003240,158 +0.002305,158 +0.002172,158 +0.002209,158 +0.002263,158 +0.002313,158 +0.002137,158 +0.002317,158 +0.002133,158 +0.002175,158 +0.002191,158 +0.002377,158 +0.002175,158 +0.002267,158 +0.002179,158 +0.002133,158 +0.002176,158 +0.002133,158 +0.002209,158 +0.002266,158 +0.002210,158 +0.002161,158 +0.002142,158 +0.002178,158 +0.002133,158 +0.002160,158 +0.002271,158 +0.002217,158 +0.002173,158 +0.002162,158 +0.002133,158 +0.002167,158 +0.002149,158 +0.002142,158 +0.002248,158 +0.002133,158 +0.002205,158 +0.002133,158 +0.002195,158 +0.002154,158 +0.002170,158 +0.002215,158 +0.002360,158 +0.002375,158 +0.002395,158 +0.002297,158 +0.002173,158 +0.002307,158 +0.002133,158 +0.002237,158 +0.002158,158 +0.002175,158 +0.002201,158 +0.002134,158 +0.002160,158 +0.002134,158 +0.002178,158 +0.002211,158 +0.002206,158 +0.002133,158 +0.002575,158 +0.002161,158 +0.002392,158 +0.002265,158 +0.002695,158 +0.002399,158 +0.002348,158 +0.002369,158 +0.002395,158 +0.002360,158 +0.002311,158 +0.002464,158 +0.002301,158 +0.002392,158 +0.002272,158 +0.002316,158 +0.002278,158 +0.002309,158 +0.002581,158 +0.002331,158 +0.002421,158 +0.002307,158 +0.002320,158 +0.002327,158 +0.002463,160 +0.002505,160 +0.002359,160 +0.002524,160 +0.002461,160 +0.002479,160 +0.002418,160 +0.002422,160 +0.002452,160 +0.002601,160 +0.002474,160 +0.002475,160 +0.002478,160 +0.002396,160 +0.002523,160 +0.002472,160 +0.002613,160 +0.002480,160 +0.002518,160 +0.002428,160 +0.002499,160 +0.002458,160 +0.002499,160 +0.002613,160 +0.002459,160 +0.002426,160 +0.002437,160 +0.002506,160 +0.002578,160 +0.002446,160 +0.002623,160 +0.002540,160 +0.002366,160 +0.002348,160 +0.002400,160 +0.002920,160 +0.004547,160 +0.004423,160 +0.003569,160 +0.003106,160 +0.003154,160 +0.003011,160 +0.003072,160 +0.002556,160 +0.002439,160 +0.002655,160 +0.002619,160 +0.002688,160 +0.002485,160 +0.002435,160 +0.002441,160 +0.002513,160 +0.002632,160 +0.002688,160 +0.003292,160 +0.002384,160 +0.002356,160 +0.002372,160 +0.002708,160 +0.002480,160 +0.002963,160 +0.002525,160 +0.002414,160 +0.002482,160 +0.002506,160 +0.003104,160 +0.002652,160 +0.002795,160 +0.002947,160 +0.002402,160 +0.003490,160 +0.004557,160 +0.004375,160 +0.002576,160 +0.002360,160 +0.002570,160 +0.002459,160 +0.002533,160 +0.002415,160 +0.002338,160 +0.002298,160 +0.002332,160 +0.002609,160 +0.002467,160 +0.002602,160 +0.002552,160 +0.002393,160 +0.002369,160 +0.002540,160 +0.002677,160 +0.002618,160 +0.002612,160 +0.002328,160 +0.002444,160 +0.002353,160 +0.002467,160 +0.002377,160 +0.002676,160 +0.002682,160 +0.002423,160 +0.002458,162 +0.002465,162 +0.002565,162 +0.002438,162 +0.002644,162 +0.002481,162 +0.002587,162 +0.002390,162 +0.002430,162 +0.002528,162 +0.002642,162 +0.002521,162 +0.002361,162 +0.002344,162 +0.002378,162 +0.002534,162 +0.002318,162 +0.003067,162 +0.002505,162 +0.002380,162 +0.002328,162 +0.002320,162 +0.002513,162 +0.002474,162 +0.002453,162 +0.002954,162 +0.002338,162 +0.002295,162 +0.002423,162 +0.002627,162 +0.002587,162 +0.002435,162 +0.002342,162 +0.002335,162 +0.002330,162 +0.002354,162 +0.002589,162 +0.002554,162 +0.002455,162 +0.002357,162 +0.002449,162 +0.002420,162 +0.002573,162 +0.002431,162 +0.002588,162 +0.002398,162 +0.002329,162 +0.002333,162 +0.002294,162 +0.002598,162 +0.002323,162 +0.002690,162 +0.002464,162 +0.002294,162 +0.002771,162 +0.002616,162 +0.002931,162 +0.003634,162 +0.002846,162 +0.002458,162 +0.002573,162 +0.002642,162 +0.002514,162 +0.003737,162 +0.003512,162 +0.003035,162 +0.003066,162 +0.002736,162 +0.002737,162 +0.002603,162 +0.002509,162 +0.002611,162 +0.002552,162 +0.002661,162 +0.002711,162 +0.002889,162 +0.003110,162 +0.002515,162 +0.002469,162 +0.002588,162 +0.002489,162 +0.002732,162 +0.002544,162 +0.002478,162 +0.002470,162 +0.002426,162 +0.002709,162 +0.002556,162 +0.003016,162 +0.002833,162 +0.002612,162 +0.002586,162 +0.003024,162 +0.003874,162 +0.003492,162 +0.002413,162 +0.002456,162 +0.002437,162 +0.002531,162 +0.002685,162 +0.002841,164 +0.002593,164 +0.002665,164 +0.002604,164 +0.002649,164 +0.002738,164 +0.003488,164 +0.002777,164 +0.002709,164 +0.002529,164 +0.002603,164 +0.002617,164 +0.003292,164 +0.002670,164 +0.002666,164 +0.002505,164 +0.002738,164 +0.002864,164 +0.003250,164 +0.002514,164 +0.002488,164 +0.002493,164 +0.002708,164 +0.002615,164 +0.002986,164 +0.002846,164 +0.002503,164 +0.002438,164 +0.002594,164 +0.002479,164 +0.002857,164 +0.002583,164 +0.002393,164 +0.002433,164 +0.002428,164 +0.002610,164 +0.002759,164 +0.002656,164 +0.002452,164 +0.002440,164 +0.002392,164 +0.002609,164 +0.002540,164 +0.002820,164 +0.002591,164 +0.002432,164 +0.002392,164 +0.002440,164 +0.002621,164 +0.002605,164 +0.002709,164 +0.002562,164 +0.002392,164 +0.002479,164 +0.002531,164 +0.002717,164 +0.002825,164 +0.002509,164 +0.002443,164 +0.002438,164 +0.002413,164 +0.002588,164 +0.002580,164 +0.002837,164 +0.002538,164 +0.002570,164 +0.002403,164 +0.002497,164 +0.002969,164 +0.004485,164 +0.003401,164 +0.002712,164 +0.002849,164 +0.002621,164 +0.003173,164 +0.002910,164 +0.002450,164 +0.002395,164 +0.002477,164 +0.002771,164 +0.002645,164 +0.003699,164 +0.003640,164 +0.002623,164 +0.002579,164 +0.002465,164 +0.002700,164 +0.003043,164 +0.002441,164 +0.002434,164 +0.002557,164 +0.002601,164 +0.002718,164 +0.002494,164 +0.002504,164 +0.002392,164 +0.002434,164 +0.002742,164 +0.002516,164 +0.002553,164 +0.002738,166 +0.002476,166 +0.002514,166 +0.002703,166 +0.002657,166 +0.002698,166 +0.003604,166 +0.002634,166 +0.002706,166 +0.002551,166 +0.002656,166 +0.002929,166 +0.002677,166 +0.002507,166 +0.002471,166 +0.002623,166 +0.002824,166 +0.002874,166 +0.002632,166 +0.002579,166 +0.002471,166 +0.002507,166 +0.002705,166 +0.002622,166 +0.002675,166 +0.002678,166 +0.002513,166 +0.002505,166 +0.002617,166 +0.002702,166 +0.002998,166 +0.002612,166 +0.002503,166 +0.002504,166 +0.002470,166 +0.002719,166 +0.002926,166 +0.002678,166 +0.002527,166 +0.002514,166 +0.002471,166 +0.002740,166 +0.002619,166 +0.002670,166 +0.002584,166 +0.002524,166 +0.002471,166 +0.002555,166 +0.002610,166 +0.002841,166 +0.002664,166 +0.002538,166 +0.002503,166 +0.002506,166 +0.002670,166 +0.002847,166 +0.002579,166 +0.002567,166 +0.002508,166 +0.002510,166 +0.002541,166 +0.002613,166 +0.002932,166 +0.002606,166 +0.002507,166 +0.002521,166 +0.002587,166 +0.002757,166 +0.002953,166 +0.002857,166 +0.002527,166 +0.002512,166 +0.002471,166 +0.002696,166 +0.002884,166 +0.002576,166 +0.002886,166 +0.002597,166 +0.002490,166 +0.002935,166 +0.003359,166 +0.003268,166 +0.002690,166 +0.002614,166 +0.002847,166 +0.002813,166 +0.002894,166 +0.002733,166 +0.002573,166 +0.002665,166 +0.002583,166 +0.002776,166 +0.002903,166 +0.002703,166 +0.002711,166 +0.002610,166 +0.002714,166 +0.002732,166 +0.002941,166 +0.002962,166 +0.002736,168 +0.002825,168 +0.002639,168 +0.002875,168 +0.002828,168 +0.002788,168 +0.002643,168 +0.002624,168 +0.002544,168 +0.002716,168 +0.002653,168 +0.002544,168 +0.002551,168 +0.002544,168 +0.002881,168 +0.002690,168 +0.002870,168 +0.002913,168 +0.002768,168 +0.002799,168 +0.002712,168 +0.002900,168 +0.002896,168 +0.002720,168 +0.002800,168 +0.002811,168 +0.002858,168 +0.002821,168 +0.002969,168 +0.002816,168 +0.002808,168 +0.002847,168 +0.002900,168 +0.002948,168 +0.002776,168 +0.002771,168 +0.003002,168 +0.003304,168 +0.002708,168 +0.002777,168 +0.002802,168 +0.002781,168 +0.002704,168 +0.002751,168 +0.002722,168 +0.003114,168 +0.002848,168 +0.002933,168 +0.002750,168 +0.002655,168 +0.002786,168 +0.002758,168 +0.002819,168 +0.002703,168 +0.002546,168 +0.002857,168 +0.002661,168 +0.003118,168 +0.002598,168 +0.002592,168 +0.002546,168 +0.002840,168 +0.002623,168 +0.002816,168 +0.002566,168 +0.002572,168 +0.002546,168 +0.002573,168 +0.002557,168 +0.002585,168 +0.002585,168 +0.002764,168 +0.002634,168 +0.002619,168 +0.002578,168 +0.002627,168 +0.002832,168 +0.002795,168 +0.002843,168 +0.002642,168 +0.002729,168 +0.002546,168 +0.002848,168 +0.002600,168 +0.002840,168 +0.002853,168 +0.002670,168 +0.002753,168 +0.003022,168 +0.002839,168 +0.002700,168 +0.002935,168 +0.002957,168 +0.002801,168 +0.002843,168 +0.002698,168 +0.002752,168 +0.002640,168 +0.002613,168 +0.002647,168 +0.003061,170 +0.002651,170 +0.002658,170 +0.002652,170 +0.002647,170 +0.002654,170 +0.002785,170 +0.002689,170 +0.002653,170 +0.002655,170 +0.002646,170 +0.002654,170 +0.002727,170 +0.002850,170 +0.002827,170 +0.002848,170 +0.002685,170 +0.002646,170 +0.002706,170 +0.002687,170 +0.002646,170 +0.002678,170 +0.002681,170 +0.002695,170 +0.002732,170 +0.002667,170 +0.002646,170 +0.002651,170 +0.002661,170 +0.002646,170 +0.002715,170 +0.002683,170 +0.002646,170 +0.002788,170 +0.002699,170 +0.002647,170 +0.002671,170 +0.002750,170 +0.002646,170 +0.002657,170 +0.003080,170 +0.002791,170 +0.002717,170 +0.003166,170 +0.002987,170 +0.002883,170 +0.002937,170 +0.002889,170 +0.002878,170 +0.002980,170 +0.003034,170 +0.003052,170 +0.002931,170 +0.002900,170 +0.003430,170 +0.004351,170 +0.003347,170 +0.002914,170 +0.002895,170 +0.002961,170 +0.003166,170 +0.002951,170 +0.002805,170 +0.002811,170 +0.002858,170 +0.002897,170 +0.003924,170 +0.003026,170 +0.003066,170 +0.003075,170 +0.003396,170 +0.002965,170 +0.002926,170 +0.002870,170 +0.002842,170 +0.002817,170 +0.002862,170 +0.002790,170 +0.002856,170 +0.002864,170 +0.002897,170 +0.002913,170 +0.002899,170 +0.002927,170 +0.002776,170 +0.002737,170 +0.002863,170 +0.003196,170 +0.003169,170 +0.003174,170 +0.002972,170 +0.002853,170 +0.002820,170 +0.002859,170 +0.003361,170 +0.003052,170 +0.002939,170 +0.002847,170 +0.002919,170 +0.003103,170 +0.003902,172 +0.003090,172 +0.003185,172 +0.003100,172 +0.003481,172 +0.003511,172 +0.002919,172 +0.002885,172 +0.002846,172 +0.002990,172 +0.003973,172 +0.003140,172 +0.003148,172 +0.003481,172 +0.004020,172 +0.003712,172 +0.003309,172 +0.004044,172 +0.003654,172 +0.003374,172 +0.003559,172 +0.003092,172 +0.003741,172 +0.003325,172 +0.003688,172 +0.003125,172 +0.002883,172 +0.002962,172 +0.003089,172 +0.003673,172 +0.003146,172 +0.002918,172 +0.002874,172 +0.003277,172 +0.003582,172 +0.003203,172 +0.002840,172 +0.002826,172 +0.002969,172 +0.002873,172 +0.003742,172 +0.002978,172 +0.002747,172 +0.002790,172 +0.002956,172 +0.003446,172 +0.003046,172 +0.003076,172 +0.002815,172 +0.002822,172 +0.003267,172 +0.003442,172 +0.003169,172 +0.002880,172 +0.003011,172 +0.002947,172 +0.003491,172 +0.003078,172 +0.003057,172 +0.002833,172 +0.002914,172 +0.003242,172 +0.003967,172 +0.003268,172 +0.003196,172 +0.003737,172 +0.003576,172 +0.003445,172 +0.003383,172 +0.003298,172 +0.003517,172 +0.003472,172 +0.003764,172 +0.003244,172 +0.003295,172 +0.003393,172 +0.004356,172 +0.002991,172 +0.003097,172 +0.002999,172 +0.003230,172 +0.003457,172 +0.003304,172 +0.003088,172 +0.003121,172 +0.003199,172 +0.003288,172 +0.003158,172 +0.003051,172 +0.003034,172 +0.003097,172 +0.003490,172 +0.003527,172 +0.003157,172 +0.003086,172 +0.003062,172 +0.003758,172 +0.003198,172 +0.003024,172 +0.003026,172 +0.003241,174 +0.003326,174 +0.003523,174 +0.003166,174 +0.003049,174 +0.002951,174 +0.003015,174 +0.003492,174 +0.003125,174 +0.003071,174 +0.002934,174 +0.003152,174 +0.003262,174 +0.003171,174 +0.002934,174 +0.002902,174 +0.002950,174 +0.003223,174 +0.003100,174 +0.003020,174 +0.002920,174 +0.002898,174 +0.003007,174 +0.003383,174 +0.003026,174 +0.002891,174 +0.002854,174 +0.002931,174 +0.003208,174 +0.003114,174 +0.003021,174 +0.002915,174 +0.002917,174 +0.003070,174 +0.003445,174 +0.003060,174 +0.002881,174 +0.002894,174 +0.002915,174 +0.003362,174 +0.003250,174 +0.003025,174 +0.003080,174 +0.002871,174 +0.003250,174 +0.003490,174 +0.003080,174 +0.002888,174 +0.002854,174 +0.003048,174 +0.003322,174 +0.003161,174 +0.002920,174 +0.002912,174 +0.002892,174 +0.003085,174 +0.003400,174 +0.003015,174 +0.002890,174 +0.002886,174 +0.003020,174 +0.003468,174 +0.003093,174 +0.002877,174 +0.002899,174 +0.002854,174 +0.003218,174 +0.002946,174 +0.003106,174 +0.002854,174 +0.002877,174 +0.002981,174 +0.003005,174 +0.003079,174 +0.003046,174 +0.003034,174 +0.002933,174 +0.003010,174 +0.003004,174 +0.002890,174 +0.002854,174 +0.002896,174 +0.002927,174 +0.003026,174 +0.002854,174 +0.002879,174 +0.002907,174 +0.002924,174 +0.002894,174 +0.002987,174 +0.002896,174 +0.002855,174 +0.002856,174 +0.002856,174 +0.002995,174 +0.002946,174 +0.004948,174 +0.002848,174 +0.002884,174 +0.002914,174 +0.003203,176 +0.003099,176 +0.002981,176 +0.003032,176 +0.002989,176 +0.003070,176 +0.003019,176 +0.003216,176 +0.003142,176 +0.002963,176 +0.003031,176 +0.003067,176 +0.002967,176 +0.002943,176 +0.002967,176 +0.002990,176 +0.003060,176 +0.002943,176 +0.002949,176 +0.002953,176 +0.002950,176 +0.002994,176 +0.003031,176 +0.002969,176 +0.002945,176 +0.002943,176 +0.002947,176 +0.003173,176 +0.002968,176 +0.002944,176 +0.002946,176 +0.002950,176 +0.002985,176 +0.003058,176 +0.002969,176 +0.002945,176 +0.002946,176 +0.002943,176 +0.002997,176 +0.003061,176 +0.003302,176 +0.003073,176 +0.003229,176 +0.003052,176 +0.003085,176 +0.002981,176 +0.002943,176 +0.002989,176 +0.002990,176 +0.003089,176 +0.002975,176 +0.002985,176 +0.002972,176 +0.002969,176 +0.002983,176 +0.003100,176 +0.002970,176 +0.002974,176 +0.002973,176 +0.002974,176 +0.003029,176 +0.003057,176 +0.002944,176 +0.002946,176 +0.002946,176 +0.002983,176 +0.003064,176 +0.002967,176 +0.002949,176 +0.002943,176 +0.002946,176 +0.003116,176 +0.003328,176 +0.003176,176 +0.003190,176 +0.003030,176 +0.003068,176 +0.003127,176 +0.002944,176 +0.002978,176 +0.002968,176 +0.002979,176 +0.002988,176 +0.003028,176 +0.002983,176 +0.002976,176 +0.002943,176 +0.003021,176 +0.003105,176 +0.002970,176 +0.003105,176 +0.002968,176 +0.002970,176 +0.003030,176 +0.003230,176 +0.002944,176 +0.002966,176 +0.002977,176 +0.002982,176 +0.003142,176 +0.003227,178 +0.003164,178 +0.003159,178 +0.003164,178 +0.003305,178 +0.003147,178 +0.003396,178 +0.003352,178 +0.003144,178 +0.003265,178 +0.003232,178 +0.003124,178 +0.003167,178 +0.003149,178 +0.003172,178 +0.003259,178 +0.003167,178 +0.003154,178 +0.003137,178 +0.003170,178 +0.003277,178 +0.003146,178 +0.003123,178 +0.003121,178 +0.003156,178 +0.003296,178 +0.003127,178 +0.003123,178 +0.003121,178 +0.003126,178 +0.003172,178 +0.003277,178 +0.003134,178 +0.003121,178 +0.003148,178 +0.003178,178 +0.003252,178 +0.003293,178 +0.003244,178 +0.003292,178 +0.003203,178 +0.003303,178 +0.003163,178 +0.003120,178 +0.003144,178 +0.003205,178 +0.003268,178 +0.003182,178 +0.003121,178 +0.003144,178 +0.003146,178 +0.003319,178 +0.003147,178 +0.003180,178 +0.003282,178 +0.003147,178 +0.003277,178 +0.003407,178 +0.003121,178 +0.003155,178 +0.003144,178 +0.003228,178 +0.003333,178 +0.003121,178 +0.003161,178 +0.003155,178 +0.003195,178 +0.003336,178 +0.003121,178 +0.003438,178 +0.003315,178 +0.003203,178 +0.003288,178 +0.003128,178 +0.003120,178 +0.003143,178 +0.003150,178 +0.003320,178 +0.003161,178 +0.003120,178 +0.003125,178 +0.003127,178 +0.003172,178 +0.003242,178 +0.003126,178 +0.003123,178 +0.003132,178 +0.003182,178 +0.003343,178 +0.003130,178 +0.003122,178 +0.003124,178 +0.003168,178 +0.003281,178 +0.003143,178 +0.003134,178 +0.003125,178 +0.003134,178 +0.003321,178 +0.003504,178 +0.003532,180 +0.003527,180 +0.003495,180 +0.004005,180 +0.003884,180 +0.003513,180 +0.003805,180 +0.004142,180 +0.003700,180 +0.003624,180 +0.003559,180 +0.003563,180 +0.004337,180 +0.003487,180 +0.003685,180 +0.003598,180 +0.003867,180 +0.003445,180 +0.003491,180 +0.003522,180 +0.003481,180 +0.003945,180 +0.003953,180 +0.004146,180 +0.004174,180 +0.004212,180 +0.004009,180 +0.003485,180 +0.003538,180 +0.003646,180 +0.003549,180 +0.003461,180 +0.003395,180 +0.003463,180 +0.003542,180 +0.003426,180 +0.003518,180 +0.003413,180 +0.003602,180 +0.003509,180 +0.003408,180 +0.003412,180 +0.003377,180 +0.003336,180 +0.003671,180 +0.003293,180 +0.003453,180 +0.003358,180 +0.003344,180 +0.003603,180 +0.003481,180 +0.003429,180 +0.003489,180 +0.003376,180 +0.003597,180 +0.003199,180 +0.006071,180 +0.004131,180 +0.003369,180 +0.003196,180 +0.003210,180 +0.003194,180 +0.003199,180 +0.003336,180 +0.003196,180 +0.003194,180 +0.003187,180 +0.003171,180 +0.003301,180 +0.003201,180 +0.003163,180 +0.003162,180 +0.003171,180 +0.003267,180 +0.003166,180 +0.003167,180 +0.003166,180 +0.003159,180 +0.003270,180 +0.003200,180 +0.003164,180 +0.003162,180 +0.003159,180 +0.003192,180 +0.003267,180 +0.003193,180 +0.005630,180 +0.004376,180 +0.003275,180 +0.003530,180 +0.003186,180 +0.003178,180 +0.003557,180 +0.003336,180 +0.003194,180 +0.003186,180 +0.003168,180 +0.003224,180 +0.003370,180 +0.003219,180 +0.003419,182 +0.003360,182 +0.003445,182 +0.003421,182 +0.003299,182 +0.003305,182 +0.003301,182 +0.003343,182 +0.003424,182 +0.003325,182 +0.003298,182 +0.003322,182 +0.003373,182 +0.003489,182 +0.003304,182 +0.005269,182 +0.005044,182 +0.003425,182 +0.003322,182 +0.003903,182 +0.003365,182 +0.003537,182 +0.003340,182 +0.003298,182 +0.003336,182 +0.003341,182 +0.003955,182 +0.003324,182 +0.003321,182 +0.003531,182 +0.003343,182 +0.003573,182 +0.003330,182 +0.003325,182 +0.003301,182 +0.003342,182 +0.003532,182 +0.003298,182 +0.003303,182 +0.003549,182 +0.003413,182 +0.003438,182 +0.003696,182 +0.003524,182 +0.003702,182 +0.003760,182 +0.003347,182 +0.003355,182 +0.003342,182 +0.003384,182 +0.003610,182 +0.003367,182 +0.003298,182 +0.003330,182 +0.003324,182 +0.003480,182 +0.003303,182 +0.003301,182 +0.003298,182 +0.003307,182 +0.003458,182 +0.003303,182 +0.003301,182 +0.003303,182 +0.003298,182 +0.003439,182 +0.003310,182 +0.003300,182 +0.003303,182 +0.003300,182 +0.003435,182 +0.003303,182 +0.003391,182 +0.003518,182 +0.003521,182 +0.003498,182 +0.003325,182 +0.003298,182 +0.003301,182 +0.003323,182 +0.003512,182 +0.003333,182 +0.003322,182 +0.003591,182 +0.003476,182 +0.004173,182 +0.003645,182 +0.003635,182 +0.003644,182 +0.003882,182 +0.003617,182 +0.003687,182 +0.003340,182 +0.003958,182 +0.003804,182 +0.003327,182 +0.003628,182 +0.003332,182 +0.003860,182 +0.003440,182 +0.003478,184 +0.003872,184 +0.003574,184 +0.003834,184 +0.003615,184 +0.003471,184 +0.003375,184 +0.003846,184 +0.003612,184 +0.003411,184 +0.003410,184 +0.003546,184 +0.003638,184 +0.003450,184 +0.003373,184 +0.003526,184 +0.003471,184 +0.003868,184 +0.003409,184 +0.003431,184 +0.003712,184 +0.003757,184 +0.003919,184 +0.003743,184 +0.003877,184 +0.004446,184 +0.003781,184 +0.003494,184 +0.003574,184 +0.003515,184 +0.003843,184 +0.003487,184 +0.003726,184 +0.003475,184 +0.003640,184 +0.003964,184 +0.003477,184 +0.003568,184 +0.003411,184 +0.003638,184 +0.003699,184 +0.003571,184 +0.003672,184 +0.003516,184 +0.004054,184 +0.003407,184 +0.003674,184 +0.003867,184 +0.003679,184 +0.003599,184 +0.003693,184 +0.003736,184 +0.003553,184 +0.003677,184 +0.003643,184 +0.003409,184 +0.003831,184 +0.003547,184 +0.003797,184 +0.003437,184 +0.003663,184 +0.003375,184 +0.003873,184 +0.003873,184 +0.003577,184 +0.003461,184 +0.003798,184 +0.003677,184 +0.003596,184 +0.003566,184 +0.003559,184 +0.003469,184 +0.003993,184 +0.003479,184 +0.003687,184 +0.003701,184 +0.003874,184 +0.003523,184 +0.003456,184 +0.003757,184 +0.003408,184 +0.003917,184 +0.003623,184 +0.003624,184 +0.003523,184 +0.003855,184 +0.003613,184 +0.003494,184 +0.003663,184 +0.003490,184 +0.003807,184 +0.003417,184 +0.003416,184 +0.003683,184 +0.003648,184 +0.003582,184 +0.003410,184 +0.003647,184 +0.003441,184 +0.003741,184 +0.003845,186 +0.003610,186 +0.003840,186 +0.003755,186 +0.003996,186 +0.003626,186 +0.003662,186 +0.003616,186 +0.003837,186 +0.003807,186 +0.003575,186 +0.003698,186 +0.003855,186 +0.004090,186 +0.003746,186 +0.003654,186 +0.003662,186 +0.003753,186 +0.003679,186 +0.003729,186 +0.003555,186 +0.004084,186 +0.003842,186 +0.004042,186 +0.003867,186 +0.003646,186 +0.004074,186 +0.003782,186 +0.003805,186 +0.003689,186 +0.004057,186 +0.003623,186 +0.003747,186 +0.003948,186 +0.003816,186 +0.003689,186 +0.003701,186 +0.004021,186 +0.003745,186 +0.004078,186 +0.003749,186 +0.003831,186 +0.003884,186 +0.003938,186 +0.003788,186 +0.003805,186 +0.003843,186 +0.003815,186 +0.004775,186 +0.003963,186 +0.003874,186 +0.003864,186 +0.003969,186 +0.003972,186 +0.003923,186 +0.003896,186 +0.003969,186 +0.003879,186 +0.003893,186 +0.003916,186 +0.004147,186 +0.003865,186 +0.004189,186 +0.004018,186 +0.003830,186 +0.004140,186 +0.003803,186 +0.003855,186 +0.003847,186 +0.003834,186 +0.003831,186 +0.003836,186 +0.003793,186 +0.003835,186 +0.003768,186 +0.003816,186 +0.003799,186 +0.003921,186 +0.003870,186 +0.004070,186 +0.003696,186 +0.003704,186 +0.003752,186 +0.003701,186 +0.003696,186 +0.003698,186 +0.003802,186 +0.003829,186 +0.003843,186 +0.003912,186 +0.003834,186 +0.003880,186 +0.003977,186 +0.003990,186 +0.003975,186 +0.004196,186 +0.003918,186 +0.003972,186 +0.003786,186 +0.003989,186 +0.004024,188 +0.003897,188 +0.004031,188 +0.004214,188 +0.004064,188 +0.004241,188 +0.004052,188 +0.004212,188 +0.003884,188 +0.003797,188 +0.003846,188 +0.004174,188 +0.003773,188 +0.003844,188 +0.003915,188 +0.003933,188 +0.003868,188 +0.004128,188 +0.003906,188 +0.003799,188 +0.004139,188 +0.003761,188 +0.003768,188 +0.003649,188 +0.004111,188 +0.003630,188 +0.003623,188 +0.003623,188 +0.004186,188 +0.003697,188 +0.003625,188 +0.003631,188 +0.003623,188 +0.003940,188 +0.003590,188 +0.003624,188 +0.003612,188 +0.004065,188 +0.003658,188 +0.003619,188 +0.004117,188 +0.003771,188 +0.003812,188 +0.004109,188 +0.004308,188 +0.004025,188 +0.004218,188 +0.004310,188 +0.004067,188 +0.004055,188 +0.004184,188 +0.003942,188 +0.003944,188 +0.003933,188 +0.004197,188 +0.003830,188 +0.003792,188 +0.003786,188 +0.003824,188 +0.003799,188 +0.004284,188 +0.004693,188 +0.004667,188 +0.004699,188 +0.004437,188 +0.004234,188 +0.004512,188 +0.004764,188 +0.003925,188 +0.003896,188 +0.003828,188 +0.003627,188 +0.003622,188 +0.004032,188 +0.003930,188 +0.003808,188 +0.003687,188 +0.003625,188 +0.004004,188 +0.004522,188 +0.003834,188 +0.003986,188 +0.003676,188 +0.004082,188 +0.003910,188 +0.003707,188 +0.004000,188 +0.003937,188 +0.003630,188 +0.003981,188 +0.004197,188 +0.004261,188 +0.004293,188 +0.003882,188 +0.003632,188 +0.003609,188 +0.003895,188 +0.003628,188 +0.003638,188 +0.003625,188 +0.004031,190 +0.003732,190 +0.003713,190 +0.004069,190 +0.003967,190 +0.003814,190 +0.003748,190 +0.003742,190 +0.003794,190 +0.003921,190 +0.003743,190 +0.003948,190 +0.003822,190 +0.003917,190 +0.004039,190 +0.003837,190 +0.003886,190 +0.004334,190 +0.004670,190 +0.003918,190 +0.003767,190 +0.003926,190 +0.004045,190 +0.003812,190 +0.003883,190 +0.004148,190 +0.003789,190 +0.003733,190 +0.003982,190 +0.003831,190 +0.004218,190 +0.003887,190 +0.004065,190 +0.003829,190 +0.004073,190 +0.003854,190 +0.003864,190 +0.004040,190 +0.003908,190 +0.003708,190 +0.003750,190 +0.003847,190 +0.003919,190 +0.004953,190 +0.003872,190 +0.003915,190 +0.003805,190 +0.003935,190 +0.003760,190 +0.003736,190 +0.003736,190 +0.003952,190 +0.003751,190 +0.003966,190 +0.003744,190 +0.004105,190 +0.004057,190 +0.003848,190 +0.004103,190 +0.004007,190 +0.003991,190 +0.003958,190 +0.003858,190 +0.003898,190 +0.004309,190 +0.003779,190 +0.004400,190 +0.003842,190 +0.004690,190 +0.004212,190 +0.003952,190 +0.003825,190 +0.004132,190 +0.003949,190 +0.003970,190 +0.003901,190 +0.004336,190 +0.004022,190 +0.004203,190 +0.004286,190 +0.004137,190 +0.003975,190 +0.004159,190 +0.004018,190 +0.004249,190 +0.003971,190 +0.004063,190 +0.004069,190 +0.004161,190 +0.004036,190 +0.004065,190 +0.004090,190 +0.004051,190 +0.005002,190 +0.004184,190 +0.004001,190 +0.004155,190 +0.004062,190 +0.004114,190 +0.003998,190 +0.004504,192 +0.004226,192 +0.004231,192 +0.004154,192 +0.004391,192 +0.004256,192 +0.004164,192 +0.004621,192 +0.004542,192 +0.004177,192 +0.004269,192 +0.004290,192 +0.004861,192 +0.004628,192 +0.004849,192 +0.004740,192 +0.005128,192 +0.004511,192 +0.004285,192 +0.004344,192 +0.004368,192 +0.004324,192 +0.004270,192 +0.004247,192 +0.004214,192 +0.004177,192 +0.004196,192 +0.004271,192 +0.004291,192 +0.004231,192 +0.004307,192 +0.004301,192 +0.004323,192 +0.004325,192 +0.004395,192 +0.004233,192 +0.004210,192 +0.004187,192 +0.004353,192 +0.004866,192 +0.004385,192 +0.004047,192 +0.004525,192 +0.003945,192 +0.004156,192 +0.004179,192 +0.004386,192 +0.003930,192 +0.004117,192 +0.004327,192 +0.004368,192 +0.004014,192 +0.003910,192 +0.003904,192 +0.004190,192 +0.003906,192 +0.003925,192 +0.004126,192 +0.004216,192 +0.003886,192 +0.004132,192 +0.003998,192 +0.004251,192 +0.004098,192 +0.004112,192 +0.004504,192 +0.004272,192 +0.003909,192 +0.004141,192 +0.003941,192 +0.004337,192 +0.003940,192 +0.004117,192 +0.003910,192 +0.004424,192 +0.003919,192 +0.003898,192 +0.003902,192 +0.004022,192 +0.004072,192 +0.004431,192 +0.003967,192 +0.003941,192 +0.004591,192 +0.003937,192 +0.003917,192 +0.004209,192 +0.004130,192 +0.004293,192 +0.004051,192 +0.003910,192 +0.004307,192 +0.004201,192 +0.004005,192 +0.003908,192 +0.004203,192 +0.003900,192 +0.003901,192 +0.003943,192 +0.004501,192 +0.004094,194 +0.003974,194 +0.003975,194 +0.004121,194 +0.003976,194 +0.003980,194 +0.004015,194 +0.004034,194 +0.003976,194 +0.003973,194 +0.004004,194 +0.004086,194 +0.004075,194 +0.004420,194 +0.004343,194 +0.004312,194 +0.004001,194 +0.004387,194 +0.004344,194 +0.004544,194 +0.004207,194 +0.004339,194 +0.004008,194 +0.004578,194 +0.004317,194 +0.004009,194 +0.004012,194 +0.004546,194 +0.004054,194 +0.004310,194 +0.004004,194 +0.004506,194 +0.004113,194 +0.004008,194 +0.004088,194 +0.004520,194 +0.004227,194 +0.004167,194 +0.004084,194 +0.004735,194 +0.004056,194 +0.004024,194 +0.004008,194 +0.004922,194 +0.004059,194 +0.004162,194 +0.004479,194 +0.004472,194 +0.004063,194 +0.004017,194 +0.004182,194 +0.004476,194 +0.004032,194 +0.004005,194 +0.004184,194 +0.004252,194 +0.004021,194 +0.004021,194 +0.004307,194 +0.004103,194 +0.004144,194 +0.004259,194 +0.004192,194 +0.004050,194 +0.003998,194 +0.004037,194 +0.004022,194 +0.004178,194 +0.003980,194 +0.003993,194 +0.003995,194 +0.004106,194 +0.004053,194 +0.003975,194 +0.003972,194 +0.004192,194 +0.003993,194 +0.004004,194 +0.003973,194 +0.004068,194 +0.003973,194 +0.003975,194 +0.003972,194 +0.004128,194 +0.003974,194 +0.004098,194 +0.004575,194 +0.004296,194 +0.004130,194 +0.004183,194 +0.004120,194 +0.004470,194 +0.004030,194 +0.004261,194 +0.004005,194 +0.004232,194 +0.004353,194 +0.004020,194 +0.004014,194 +0.004370,194 +0.004545,196 +0.004109,196 +0.004114,196 +0.004780,196 +0.004173,196 +0.004120,196 +0.004174,196 +0.004525,196 +0.004153,196 +0.004320,196 +0.004240,196 +0.004641,196 +0.004273,196 +0.004153,196 +0.004230,196 +0.005091,196 +0.004129,196 +0.004116,196 +0.004529,196 +0.004654,196 +0.004161,196 +0.004103,196 +0.004477,196 +0.004167,196 +0.004105,196 +0.004087,196 +0.004363,196 +0.004107,196 +0.004086,196 +0.004084,196 +0.004302,196 +0.004159,196 +0.004212,196 +0.004335,196 +0.004361,196 +0.004112,196 +0.004103,196 +0.004086,196 +0.004496,196 +0.004112,196 +0.004112,196 +0.004083,196 +0.004287,196 +0.004234,196 +0.004107,196 +0.004129,196 +0.004353,196 +0.004115,196 +0.004112,196 +0.004107,196 +0.004223,196 +0.004106,196 +0.004081,196 +0.004080,196 +0.004291,196 +0.004178,196 +0.004245,196 +0.004458,196 +0.004203,196 +0.004119,196 +0.004101,196 +0.004108,196 +0.004204,196 +0.004112,196 +0.004143,196 +0.004096,196 +0.004264,196 +0.004084,196 +0.004080,196 +0.004083,196 +0.004164,196 +0.004152,196 +0.004085,196 +0.004126,196 +0.004152,196 +0.004085,196 +0.004088,196 +0.004084,196 +0.004290,196 +0.004087,196 +0.004122,196 +0.004348,196 +0.004431,196 +0.004117,196 +0.004116,196 +0.004105,196 +0.004325,196 +0.004107,196 +0.004109,196 +0.004101,196 +0.004195,196 +0.004197,196 +0.004107,196 +0.004083,196 +0.004143,196 +0.004084,196 +0.004081,196 +0.004082,196 +0.004170,196 +0.004112,196 +0.004318,198 +0.004213,198 +0.004337,198 +0.004214,198 +0.004221,198 +0.004428,198 +0.004661,198 +0.004246,198 +0.004222,198 +0.004220,198 +0.004276,198 +0.004216,198 +0.004216,198 +0.004216,198 +0.004276,198 +0.004217,198 +0.004213,198 +0.004215,198 +0.004296,198 +0.004217,198 +0.004212,198 +0.004212,198 +0.004280,198 +0.004213,198 +0.004212,198 +0.004426,198 +0.004250,198 +0.004213,198 +0.004275,198 +0.004559,198 +0.004351,198 +0.004217,198 +0.004215,198 +0.004253,198 +0.004269,198 +0.004281,198 +0.004236,198 +0.004277,198 +0.004218,198 +0.004223,198 +0.004214,198 +0.004282,198 +0.004261,198 +0.004236,198 +0.004212,198 +0.004287,198 +0.004214,198 +0.004212,198 +0.004216,198 +0.004355,198 +0.004310,198 +0.004226,198 +0.004401,198 +0.004622,198 +0.004228,198 +0.004243,198 +0.004255,198 +0.004280,198 +0.004212,198 +0.004213,198 +0.004215,198 +0.004380,198 +0.004283,198 +0.004212,198 +0.004255,198 +0.004258,198 +0.004219,198 +0.004212,198 +0.004250,198 +0.004269,198 +0.004219,198 +0.004212,198 +0.004329,198 +0.004275,198 +0.004237,198 +0.004275,198 +0.004463,198 +0.004471,198 +0.004213,198 +0.004217,198 +0.004276,198 +0.004217,198 +0.004242,198 +0.004213,198 +0.004380,198 +0.004281,198 +0.004233,198 +0.004236,198 +0.004297,198 +0.004251,198 +0.004215,198 +0.004216,198 +0.004283,198 +0.004217,198 +0.004213,198 +0.004256,198 +0.004317,198 +0.004218,198 +0.004213,198 +0.004384,198 +0.004875,200 +0.004366,200 +0.004361,200 +0.004399,200 +0.004415,200 +0.004386,200 +0.004407,200 +0.004432,200 +0.004415,200 +0.004395,200 +0.004359,200 +0.004429,200 +0.004360,200 +0.004360,200 +0.004363,200 +0.004422,200 +0.004364,200 +0.004360,200 +0.004365,200 +0.004492,200 +0.004363,200 +0.004359,200 +0.004645,200 +0.004694,200 +0.004384,200 +0.004401,200 +0.004458,200 +0.004390,200 +0.004361,200 +0.004362,200 +0.004420,200 +0.004363,200 +0.004360,200 +0.004362,200 +0.004421,200 +0.004365,200 +0.004360,200 +0.004395,200 +0.004394,200 +0.004364,200 +0.004419,200 +0.004473,200 +0.004394,200 +0.004363,200 +0.004360,200 +0.004659,200 +0.004696,200 +0.004363,200 +0.004363,200 +0.004435,200 +0.004360,200 +0.004365,200 +0.004362,200 +0.004423,200 +0.004365,200 +0.004360,200 +0.004391,200 +0.004401,200 +0.004360,200 +0.004360,200 +0.004427,200 +0.004361,200 +0.004364,200 +0.004360,200 +0.004512,200 +0.004462,200 +0.004412,200 +0.004441,200 +0.004719,200 +0.004610,200 +0.004381,200 +0.004391,200 +0.004394,200 +0.004364,200 +0.004359,200 +0.004427,200 +0.004363,200 +0.004368,200 +0.004362,200 +0.004423,200 +0.004364,200 +0.004360,200 +0.004360,200 +0.004427,200 +0.004361,200 +0.004359,200 +0.004365,200 +0.004485,200 +0.004360,200 +0.004359,200 +0.004434,200 +0.004607,200 +0.004493,200 +0.004360,200 +0.004424,200 +0.004388,200 +0.004379,200 +0.004362,200 +0.004463,200 +0.004364,200 +0.004613,202 +0.004510,202 +0.004569,202 +0.004569,202 +0.004556,202 +0.004572,202 +0.004568,202 +0.004506,202 +0.004510,202 +0.004647,202 +0.004511,202 +0.004512,202 +0.004506,202 +0.004837,202 +0.004759,202 +0.004527,202 +0.004569,202 +0.004513,202 +0.004506,202 +0.004507,202 +0.004567,202 +0.004573,202 +0.004506,202 +0.004505,202 +0.004572,202 +0.004508,202 +0.004508,202 +0.004534,202 +0.004607,202 +0.004505,202 +0.004505,202 +0.004670,202 +0.004512,202 +0.004506,202 +0.004507,202 +0.004731,202 +0.004904,202 +0.004541,202 +0.004570,202 +0.004554,202 +0.004550,202 +0.004508,202 +0.004588,202 +0.004510,202 +0.004506,202 +0.004534,202 +0.004548,202 +0.004505,202 +0.004509,202 +0.004566,202 +0.004510,202 +0.004506,202 +0.004505,202 +0.004651,202 +0.004515,202 +0.004506,202 +0.004507,202 +0.004745,202 +0.004779,202 +0.004541,202 +0.005156,202 +0.004703,202 +0.004594,202 +0.004549,202 +0.004622,202 +0.004536,202 +0.004507,202 +0.004540,202 +0.004541,202 +0.004506,202 +0.004577,202 +0.004567,202 +0.004510,202 +0.004508,202 +0.004508,202 +0.004650,202 +0.004569,202 +0.004506,202 +0.004534,202 +0.004766,202 +0.004821,202 +0.004531,202 +0.004595,202 +0.004530,202 +0.004506,202 +0.004537,202 +0.004541,202 +0.004552,202 +0.004505,202 +0.004571,202 +0.004506,202 +0.004541,202 +0.004512,202 +0.004737,202 +0.004575,202 +0.005103,202 +0.004676,202 +0.004671,202 +0.004511,202 +0.004506,202 +0.005009,204 +0.004842,204 +0.004876,204 +0.004731,204 +0.004710,204 +0.004678,204 +0.004683,204 +0.004779,204 +0.004634,204 +0.004630,204 +0.004762,204 +0.004729,204 +0.004662,204 +0.004660,204 +0.004727,204 +0.004658,204 +0.004705,204 +0.004630,204 +0.004776,204 +0.004630,204 +0.004630,204 +0.004693,204 +0.004734,204 +0.004899,204 +0.004656,204 +0.004711,204 +0.004653,204 +0.004658,204 +0.004669,204 +0.004662,204 +0.004720,204 +0.004629,204 +0.004696,204 +0.004633,204 +0.004635,204 +0.004657,204 +0.004666,204 +0.004630,204 +0.004630,204 +0.004703,204 +0.004710,204 +0.004629,204 +0.004632,204 +0.004732,204 +0.004913,204 +0.004954,204 +0.004754,204 +0.004660,204 +0.004650,204 +0.004663,204 +0.004727,204 +0.004678,204 +0.004629,204 +0.004697,204 +0.004631,204 +0.004630,204 +0.004633,204 +0.004696,204 +0.004629,204 +0.004630,204 +0.004660,204 +0.004747,204 +0.004632,204 +0.004634,204 +0.004871,204 +0.004808,204 +0.004954,204 +0.004905,204 +0.004718,204 +0.004630,204 +0.004633,204 +0.004883,204 +0.004657,204 +0.004652,204 +0.004680,204 +0.004664,204 +0.004670,204 +0.004635,204 +0.004735,204 +0.004636,204 +0.004629,204 +0.004642,204 +0.004760,204 +0.004714,204 +0.004629,204 +0.004696,204 +0.004633,204 +0.004911,204 +0.004861,204 +0.004721,204 +0.004634,204 +0.004653,204 +0.004802,204 +0.004630,204 +0.004630,204 +0.004633,204 +0.004692,204 +0.004636,204 +0.004629,204 +0.004660,204 +0.004924,206 +0.004774,206 +0.004782,206 +0.004954,206 +0.004774,206 +0.004768,206 +0.004833,206 +0.004776,206 +0.005023,206 +0.005055,206 +0.004881,206 +0.004827,206 +0.004799,206 +0.004937,206 +0.004790,206 +0.004772,206 +0.004799,206 +0.004842,206 +0.004774,206 +0.004841,206 +0.004854,206 +0.004783,206 +0.004769,206 +0.004809,206 +0.004883,206 +0.004772,206 +0.004780,206 +0.004834,206 +0.004769,206 +0.005048,206 +0.005067,206 +0.004833,206 +0.004809,206 +0.004795,206 +0.004867,206 +0.004885,206 +0.004772,206 +0.004829,206 +0.004773,206 +0.004769,206 +0.004774,206 +0.004830,206 +0.004772,206 +0.004769,206 +0.004840,206 +0.004875,206 +0.004769,206 +0.004771,206 +0.004831,206 +0.004773,206 +0.005113,206 +0.007995,206 +0.008452,206 +0.008079,206 +0.004899,206 +0.004804,206 +0.004890,206 +0.004867,206 +0.004817,206 +0.004849,206 +0.004793,206 +0.004769,206 +0.004773,206 +0.004853,206 +0.004848,206 +0.004771,206 +0.004855,206 +0.004816,206 +0.004872,206 +0.005138,206 +0.004869,206 +0.004817,206 +0.004909,206 +0.004867,206 +0.004769,206 +0.004772,206 +0.004822,206 +0.004817,206 +0.004771,206 +0.004769,206 +0.004853,206 +0.004775,206 +0.004769,206 +0.004810,206 +0.004889,206 +0.004830,206 +0.004773,206 +0.004847,206 +0.004771,206 +0.004953,206 +0.005091,206 +0.004828,206 +0.004772,206 +0.004789,206 +0.004878,206 +0.004794,206 +0.004769,206 +0.004853,206 +0.004769,206 +0.004771,206 +0.005036,208 +0.005039,208 +0.004925,208 +0.004919,208 +0.005021,208 +0.005021,208 +0.004919,208 +0.004978,208 +0.004968,208 +0.004918,208 +0.005219,208 +0.005136,208 +0.004977,208 +0.005095,208 +0.005023,208 +0.004945,208 +0.004943,208 +0.005017,208 +0.004997,208 +0.004923,208 +0.004930,208 +0.005022,208 +0.004922,208 +0.004961,208 +0.004998,208 +0.004979,208 +0.004918,208 +0.004960,208 +0.004986,208 +0.004919,208 +0.005191,208 +0.005119,208 +0.004947,208 +0.004944,208 +0.004981,208 +0.004919,208 +0.005006,208 +0.004949,208 +0.004951,208 +0.004922,208 +0.004920,208 +0.004983,208 +0.004919,208 +0.004918,208 +0.004981,208 +0.005008,208 +0.004927,208 +0.004949,208 +0.004953,208 +0.004924,208 +0.005130,208 +0.005277,208 +0.004958,208 +0.004919,208 +0.005014,208 +0.004946,208 +0.004918,208 +0.004952,208 +0.004955,208 +0.004919,208 +0.004920,208 +0.004986,208 +0.004918,208 +0.004918,208 +0.004971,208 +0.004995,208 +0.004938,208 +0.005102,208 +0.005016,208 +0.004951,208 +0.005049,208 +0.005315,208 +0.004940,208 +0.004971,208 +0.005001,208 +0.004947,208 +0.004945,208 +0.004969,208 +0.005006,208 +0.004923,208 +0.004919,208 +0.004984,208 +0.004922,208 +0.004919,208 +0.004948,208 +0.005040,208 +0.005027,208 +0.004921,208 +0.004980,208 +0.004925,208 +0.004918,208 +0.005315,208 +0.005033,208 +0.004925,208 +0.004946,208 +0.004956,208 +0.004919,208 +0.004922,208 +0.004980,208 +0.004922,208 +0.005214,210 +0.005162,210 +0.005099,210 +0.005105,210 +0.005186,210 +0.005162,210 +0.005276,210 +0.005236,210 +0.005176,210 +0.005095,210 +0.005244,210 +0.005476,210 +0.005100,210 +0.005196,210 +0.005180,210 +0.005102,210 +0.005095,210 +0.005179,210 +0.005141,210 +0.005170,210 +0.005148,210 +0.005152,210 +0.005102,210 +0.005099,210 +0.005162,210 +0.005164,210 +0.005137,210 +0.005179,210 +0.005100,210 +0.005098,210 +0.005395,210 +0.005238,210 +0.005161,210 +0.005177,210 +0.005125,210 +0.005229,210 +0.005146,210 +0.005129,210 +0.005099,210 +0.005098,210 +0.005160,210 +0.005096,210 +0.005100,210 +0.005157,210 +0.005181,210 +0.005095,210 +0.005163,210 +0.005100,210 +0.005097,210 +0.005175,210 +0.005415,210 +0.005359,210 +0.005202,210 +0.005224,210 +0.005125,210 +0.005177,210 +0.005315,210 +0.005119,210 +0.005096,210 +0.005162,210 +0.005102,210 +0.005095,210 +0.005125,210 +0.005134,210 +0.005175,210 +0.005097,210 +0.005196,210 +0.005098,210 +0.005097,210 +0.005353,210 +0.005342,210 +0.005119,210 +0.005177,210 +0.005102,210 +0.005146,210 +0.005160,210 +0.005101,210 +0.005107,210 +0.005126,210 +0.005128,210 +0.005100,210 +0.005098,210 +0.005166,210 +0.005230,210 +0.005131,210 +0.005158,210 +0.005099,210 +0.005097,210 +0.005200,210 +0.005421,210 +0.005113,210 +0.005148,210 +0.005129,210 +0.005099,210 +0.005100,210 +0.005155,210 +0.005172,210 +0.005104,210 +0.005160,210 +0.005100,210 +0.005338,212 +0.005299,212 +0.005295,212 +0.005210,212 +0.005338,212 +0.005213,212 +0.005208,212 +0.005261,212 +0.005489,212 +0.005501,212 +0.005398,212 +0.005309,212 +0.005229,212 +0.005254,212 +0.005347,212 +0.005216,212 +0.005218,212 +0.005280,212 +0.005212,212 +0.005255,212 +0.005271,212 +0.005316,212 +0.005210,212 +0.005294,212 +0.005210,212 +0.005210,212 +0.005296,212 +0.005481,212 +0.005432,212 +0.005325,212 +0.005243,212 +0.005295,212 +0.005212,212 +0.005296,212 +0.005209,212 +0.005213,212 +0.005270,212 +0.005212,212 +0.005210,212 +0.005275,212 +0.005297,212 +0.005215,212 +0.005271,212 +0.005213,212 +0.005209,212 +0.005241,212 +0.005435,212 +0.005482,212 +0.005306,212 +0.005241,212 +0.005210,212 +0.005216,212 +0.005293,212 +0.005209,212 +0.005214,212 +0.005270,212 +0.005212,212 +0.005214,212 +0.005270,212 +0.005257,212 +0.005216,212 +0.005388,212 +0.005245,212 +0.005221,212 +0.005250,212 +0.005424,212 +0.005478,212 +0.005264,212 +0.005265,212 +0.005257,212 +0.005250,212 +0.005272,212 +0.005208,212 +0.005213,212 +0.005271,212 +0.005214,212 +0.005270,212 +0.005321,212 +0.005319,212 +0.005250,212 +0.005280,212 +0.005211,212 +0.005216,212 +0.005238,212 +0.005358,212 +0.005522,212 +0.005261,212 +0.005268,212 +0.005213,212 +0.005252,212 +0.005271,212 +0.005213,212 +0.005221,212 +0.005293,212 +0.005210,212 +0.005214,212 +0.005291,212 +0.005254,212 +0.005251,212 +0.005415,212 +0.005511,214 +0.005377,214 +0.005431,214 +0.005497,214 +0.005634,214 +0.005582,214 +0.005380,214 +0.005369,214 +0.005434,214 +0.005454,214 +0.005416,214 +0.005450,214 +0.005415,214 +0.005371,214 +0.005402,214 +0.005410,214 +0.005471,214 +0.005407,214 +0.005401,214 +0.005369,214 +0.005376,214 +0.005434,214 +0.005608,214 +0.005504,214 +0.005458,214 +0.005459,214 +0.005456,214 +0.005460,214 +0.005475,214 +0.005412,214 +0.005440,214 +0.005371,214 +0.005371,214 +0.005431,214 +0.005435,214 +0.005369,214 +0.005473,214 +0.005393,214 +0.005372,214 +0.005430,214 +0.005473,214 +0.005797,214 +0.005643,214 +0.005410,214 +0.005420,214 +0.005513,214 +0.005400,214 +0.005405,214 +0.005477,214 +0.005369,214 +0.005369,214 +0.005436,214 +0.005374,214 +0.005494,214 +0.005534,214 +0.005442,214 +0.005402,214 +0.005645,214 +0.005529,214 +0.005776,214 +0.005501,214 +0.005429,214 +0.005412,214 +0.005443,214 +0.005445,214 +0.005392,214 +0.005399,214 +0.005408,214 +0.005370,214 +0.005399,214 +0.005412,214 +0.005515,214 +0.005474,214 +0.005406,214 +0.005369,214 +0.005374,214 +0.005431,214 +0.005568,214 +0.005725,214 +0.005470,214 +0.005413,214 +0.005427,214 +0.005471,214 +0.005412,214 +0.005399,214 +0.005446,214 +0.005378,214 +0.005411,214 +0.005457,214 +0.005401,214 +0.005452,214 +0.005452,214 +0.005376,214 +0.005369,214 +0.005473,214 +0.005397,214 +0.005785,214 +0.005732,214 +0.005391,214 +0.005625,214 +0.006151,216 +0.005788,216 +0.006171,216 +0.006296,216 +0.006094,216 +0.006567,216 +0.008187,216 +0.006341,216 +0.006257,216 +0.006222,216 +0.006249,216 +0.006635,216 +0.007265,216 +0.006322,216 +0.006406,216 +0.006345,216 +0.006161,216 +0.006079,216 +0.007007,216 +0.006613,216 +0.006141,216 +0.006247,216 +0.006074,216 +0.007351,216 +0.005990,216 +0.006103,216 +0.007244,216 +0.007006,216 +0.008089,216 +0.006477,216 +0.007051,216 +0.007433,216 +0.007063,216 +0.006501,216 +0.006232,216 +0.006415,216 +0.006916,216 +0.007117,216 +0.007403,216 +0.006350,216 +0.007760,216 +0.006184,216 +0.005968,216 +0.007188,216 +0.006074,216 +0.007077,216 +0.005790,216 +0.006115,216 +0.008246,216 +0.007490,216 +0.007457,216 +0.005645,216 +0.006889,216 +0.006281,216 +0.006042,216 +0.006582,216 +0.006166,216 +0.006802,216 +0.006558,216 +0.006041,216 +0.006568,216 +0.006179,216 +0.006179,216 +0.006787,216 +0.007046,216 +0.008044,216 +0.006161,216 +0.006380,216 +0.006220,216 +0.005972,216 +0.007988,216 +0.006318,216 +0.007219,216 +0.007577,216 +0.007820,216 +0.006773,216 +0.006201,216 +0.006750,216 +0.006430,216 +0.006074,216 +0.006347,216 +0.005806,216 +0.006344,216 +0.006285,216 +0.006094,216 +0.006686,216 +0.005977,216 +0.005836,216 +0.006300,216 +0.007047,216 +0.006276,216 +0.006208,216 +0.005685,216 +0.006487,216 +0.006019,216 +0.005781,216 +0.007648,216 +0.005997,216 +0.007177,216 +0.006766,216 +0.006210,218 +0.007256,218 +0.005898,218 +0.006264,218 +0.009736,218 +0.005934,218 +0.006642,218 +0.005758,218 +0.006376,218 +0.006204,218 +0.005705,218 +0.006358,218 +0.005827,218 +0.005790,218 +0.006412,218 +0.005781,218 +0.006085,218 +0.006048,218 +0.005698,218 +0.006003,218 +0.006033,218 +0.005719,218 +0.005811,218 +0.005729,218 +0.005720,218 +0.005784,218 +0.005733,218 +0.005670,218 +0.005820,218 +0.005687,218 +0.005769,218 +0.005788,218 +0.005663,218 +0.005668,218 +0.005807,218 +0.005668,218 +0.005742,218 +0.006086,218 +0.005812,218 +0.005815,218 +0.005765,218 +0.005701,218 +0.005771,218 +0.005702,218 +0.005669,218 +0.005714,218 +0.005747,218 +0.005663,218 +0.005804,218 +0.005729,218 +0.005664,218 +0.005859,218 +0.005708,218 +0.005690,218 +0.005978,218 +0.006048,218 +0.005702,218 +0.005724,218 +0.005713,218 +0.005784,218 +0.006000,218 +0.005901,218 +0.005784,218 +0.006205,218 +0.005706,218 +0.005842,218 +0.005730,218 +0.005667,218 +0.005869,218 +0.005789,218 +0.005679,218 +0.005993,218 +0.006072,218 +0.005793,218 +0.005816,218 +0.006076,218 +0.005689,218 +0.005872,218 +0.006006,218 +0.005817,218 +0.005734,218 +0.005828,218 +0.005804,218 +0.005768,218 +0.005742,218 +0.005726,218 +0.005716,218 +0.005692,218 +0.005666,218 +0.006121,218 +0.005762,218 +0.005669,218 +0.005726,218 +0.005705,218 +0.005708,218 +0.005705,218 +0.005665,218 +0.005668,218 +0.005781,218 +0.005691,218 +0.006165,220 +0.005818,220 +0.005839,220 +0.005879,220 +0.005838,220 +0.005813,220 +0.006274,220 +0.005964,220 +0.005843,220 +0.005911,220 +0.005859,220 +0.005875,220 +0.005888,220 +0.005807,220 +0.005817,220 +0.005982,220 +0.005889,220 +0.006092,220 +0.005858,220 +0.005828,220 +0.005898,220 +0.005814,220 +0.005815,220 +0.006025,220 +0.005997,220 +0.005881,220 +0.005914,220 +0.005823,220 +0.005818,220 +0.005881,220 +0.005815,220 +0.005816,220 +0.005895,220 +0.005814,220 +0.005960,220 +0.005851,220 +0.005817,220 +0.005895,220 +0.005836,220 +0.005965,220 +0.006084,220 +0.005981,220 +0.005879,220 +0.005960,220 +0.005945,220 +0.005819,220 +0.005910,220 +0.005815,220 +0.006064,220 +0.005851,220 +0.005837,220 +0.006360,220 +0.005851,220 +0.005961,220 +0.006022,220 +0.005815,220 +0.005884,220 +0.006152,220 +0.006042,220 +0.005933,220 +0.005918,220 +0.005819,220 +0.005834,220 +0.005856,220 +0.005812,220 +0.005853,220 +0.005851,220 +0.005817,220 +0.005985,220 +0.005819,220 +0.005813,220 +0.005885,220 +0.005815,220 +0.005817,220 +0.006085,220 +0.006280,220 +0.005859,220 +0.005925,220 +0.005816,220 +0.005828,220 +0.005856,220 +0.005813,220 +0.005826,220 +0.005852,220 +0.005817,220 +0.005921,220 +0.005824,220 +0.005839,220 +0.005873,220 +0.005821,220 +0.005856,220 +0.006110,220 +0.006147,220 +0.005837,220 +0.005921,220 +0.005834,220 +0.005838,220 +0.005865,220 +0.005813,220 +0.005827,220 +0.006199,222 +0.006047,222 +0.006113,222 +0.005991,222 +0.005998,222 +0.006044,222 +0.005992,222 +0.005992,222 +0.006332,222 +0.006240,222 +0.006050,222 +0.006050,222 +0.006035,222 +0.006060,222 +0.006039,222 +0.006035,222 +0.006087,222 +0.005991,222 +0.006057,222 +0.006044,222 +0.005994,222 +0.006002,222 +0.006035,222 +0.006061,222 +0.006153,222 +0.006487,222 +0.006039,222 +0.006085,222 +0.006020,222 +0.006097,222 +0.006120,222 +0.006067,222 +0.006035,222 +0.006069,222 +0.005991,222 +0.006187,222 +0.005994,222 +0.005995,222 +0.006040,222 +0.005995,222 +0.005993,222 +0.006250,222 +0.006297,222 +0.006125,222 +0.006036,222 +0.006073,222 +0.006072,222 +0.005997,222 +0.005991,222 +0.006043,222 +0.005993,222 +0.006054,222 +0.006039,222 +0.005995,222 +0.006002,222 +0.006036,222 +0.005991,222 +0.006044,222 +0.006302,222 +0.006241,222 +0.006090,222 +0.006012,222 +0.006042,222 +0.006062,222 +0.005993,222 +0.006003,222 +0.006059,222 +0.005991,222 +0.006520,222 +0.005994,222 +0.006099,222 +0.006051,222 +0.006056,222 +0.006015,222 +0.006136,222 +0.006390,222 +0.006093,222 +0.006011,222 +0.006018,222 +0.006080,222 +0.006039,222 +0.006015,222 +0.006043,222 +0.005996,222 +0.006123,222 +0.006034,222 +0.005996,222 +0.006089,222 +0.005991,222 +0.005995,222 +0.006039,222 +0.006226,222 +0.006255,222 +0.006094,222 +0.006012,222 +0.006004,222 +0.006030,222 +0.005996,222 +0.006041,222 +0.005995,222 +0.006544,224 +0.006214,224 +0.006159,224 +0.006201,224 +0.006209,224 +0.006269,224 +0.006196,224 +0.006284,224 +0.006576,224 +0.006228,224 +0.006259,224 +0.006181,224 +0.006204,224 +0.006160,224 +0.006206,224 +0.006182,224 +0.006215,224 +0.006209,224 +0.006159,224 +0.006160,224 +0.006209,224 +0.006219,224 +0.006184,224 +0.006200,224 +0.006813,224 +0.006231,224 +0.006438,224 +0.006208,224 +0.006394,224 +0.006190,224 +0.006206,224 +0.006190,224 +0.006220,224 +0.006259,224 +0.006164,224 +0.006159,224 +0.006209,224 +0.006155,224 +0.006170,224 +0.006197,224 +0.006456,224 +0.006614,224 +0.006198,224 +0.006202,224 +0.006229,224 +0.006181,224 +0.006217,224 +0.006183,224 +0.006216,224 +0.006229,224 +0.006287,224 +0.006185,224 +0.006209,224 +0.006493,224 +0.006197,224 +0.006170,224 +0.006525,224 +0.006446,224 +0.006177,224 +0.006217,224 +0.006214,224 +0.006162,224 +0.006206,224 +0.006165,224 +0.006261,224 +0.006237,224 +0.006162,224 +0.006220,224 +0.006216,224 +0.006155,224 +0.006170,224 +0.006198,224 +0.006455,224 +0.006439,224 +0.006188,224 +0.006182,224 +0.006247,224 +0.006160,224 +0.006166,224 +0.006200,224 +0.006179,224 +0.006269,224 +0.006159,224 +0.006158,224 +0.006210,224 +0.006179,224 +0.006262,224 +0.006195,224 +0.006400,224 +0.006445,224 +0.006241,224 +0.006192,224 +0.006266,224 +0.006244,224 +0.006168,224 +0.006225,224 +0.006156,224 +0.006312,224 +0.006159,224 +0.006161,224 +0.006549,226 +0.006319,226 +0.006334,226 +0.006360,226 +0.006602,226 +0.006872,226 +0.006318,226 +0.006371,226 +0.006378,226 +0.006344,226 +0.006397,226 +0.006370,226 +0.006379,226 +0.006397,226 +0.006319,226 +0.006400,226 +0.006359,226 +0.006319,226 +0.006389,226 +0.006320,226 +0.006569,226 +0.006630,226 +0.006340,226 +0.006420,226 +0.006365,226 +0.006322,226 +0.006366,226 +0.006323,226 +0.006906,226 +0.006387,226 +0.006637,226 +0.006371,226 +0.006345,226 +0.006332,226 +0.006357,226 +0.006324,226 +0.006945,226 +0.006377,226 +0.006349,226 +0.006376,226 +0.006559,226 +0.006351,226 +0.006320,226 +0.006376,226 +0.006434,226 +0.006335,226 +0.006330,226 +0.006359,226 +0.006322,226 +0.006369,226 +0.006323,226 +0.006419,226 +0.006789,226 +0.006450,226 +0.006401,226 +0.006351,226 +0.006318,226 +0.006375,226 +0.006323,226 +0.006379,226 +0.006371,226 +0.006317,226 +0.006370,226 +0.006323,226 +0.006361,226 +0.006372,226 +0.006318,226 +0.006571,226 +0.006741,226 +0.006366,226 +0.006431,226 +0.006340,226 +0.006364,226 +0.006402,226 +0.006318,226 +0.006461,226 +0.006320,226 +0.006319,226 +0.006371,226 +0.006320,226 +0.006330,226 +0.006366,226 +0.006392,226 +0.006721,226 +0.006562,226 +0.006344,226 +0.006403,226 +0.006320,226 +0.006370,226 +0.006322,226 +0.006342,226 +0.006452,226 +0.006320,226 +0.006332,226 +0.006359,226 +0.006359,226 +0.006367,226 +0.006324,226 +0.006318,226 +0.006649,226 +0.007106,228 +0.006580,228 +0.006485,228 +0.006484,228 +0.006534,228 +0.006483,228 +0.006636,228 +0.006547,228 +0.006541,228 +0.006579,228 +0.006543,228 +0.006496,228 +0.006526,228 +0.006482,228 +0.006787,228 +0.006789,228 +0.006515,228 +0.006587,228 +0.006502,228 +0.006544,228 +0.006491,228 +0.006656,228 +0.006526,228 +0.006488,228 +0.006556,228 +0.006483,228 +0.006483,228 +0.006536,228 +0.006488,228 +0.006665,228 +0.006857,228 +0.006545,228 +0.006555,228 +0.006531,228 +0.006544,228 +0.006483,228 +0.006527,228 +0.006643,228 +0.006481,228 +0.006529,228 +0.006496,228 +0.006636,228 +0.006586,228 +0.006502,228 +0.006495,228 +0.007019,228 +0.006552,228 +0.006599,228 +0.006554,228 +0.006495,228 +0.006529,228 +0.006485,228 +0.006610,228 +0.006486,228 +0.006483,228 +0.006535,228 +0.006484,228 +0.006531,228 +0.006488,228 +0.006585,228 +0.006792,228 +0.006762,228 +0.006576,228 +0.006481,228 +0.006486,228 +0.006535,228 +0.006481,228 +0.006615,228 +0.006484,228 +0.006499,228 +0.006538,228 +0.006495,228 +0.006501,228 +0.006530,228 +0.006481,228 +0.006686,228 +0.006840,228 +0.006519,228 +0.006612,228 +0.006503,228 +0.006565,228 +0.006530,228 +0.006877,228 +0.006551,228 +0.006489,228 +0.006533,228 +0.006620,228 +0.006507,228 +0.006530,228 +0.006486,228 +0.006534,228 +0.006951,228 +0.006530,228 +0.006585,228 +0.006482,228 +0.006564,228 +0.006488,228 +0.006579,228 +0.006645,228 +0.006481,228 +0.006906,230 +0.006664,230 +0.006654,230 +0.006708,230 +0.006732,230 +0.007061,230 +0.007030,230 +0.007347,230 +0.007360,230 +0.007459,230 +0.007354,230 +0.007573,230 +0.007686,230 +0.007985,230 +0.007109,230 +0.007216,230 +0.007353,230 +0.008097,230 +0.009631,230 +0.007771,230 +0.009133,230 +0.007343,230 +0.008509,230 +0.007966,230 +0.007210,230 +0.008854,230 +0.008231,230 +0.007544,230 +0.008028,230 +0.007625,230 +0.007927,230 +0.008986,230 +0.008489,230 +0.009163,230 +0.011969,230 +0.011834,230 +0.008479,230 +0.007426,230 +0.007346,230 +0.008399,230 +0.008797,230 +0.007532,230 +0.007414,230 +0.006996,230 +0.007756,230 +0.006975,230 +0.007077,230 +0.007386,230 +0.007467,230 +0.007776,230 +0.007609,230 +0.007568,230 +0.007361,230 +0.007952,230 +0.007071,230 +0.008761,230 +0.007205,230 +0.008618,230 +0.007297,230 +0.007950,230 +0.007024,230 +0.008121,230 +0.007081,230 +0.007821,230 +0.007059,230 +0.006998,230 +0.007775,230 +0.007005,230 +0.008090,230 +0.007026,230 +0.007915,230 +0.007400,230 +0.007968,230 +0.007076,230 +0.006918,230 +0.007954,230 +0.006799,230 +0.008414,230 +0.006951,230 +0.008150,230 +0.007105,230 +0.008124,230 +0.006950,230 +0.006990,230 +0.008277,230 +0.006900,230 +0.007570,230 +0.007040,230 +0.007710,230 +0.007099,230 +0.006936,230 +0.007400,230 +0.006832,230 +0.006759,230 +0.006929,230 +0.006787,230 +0.006863,230 +0.006921,230 +0.007279,230 +0.008303,230 +0.007663,232 +0.008658,232 +0.006971,232 +0.007331,232 +0.007265,232 +0.007715,232 +0.008007,232 +0.007884,232 +0.007827,232 +0.008317,232 +0.007851,232 +0.008945,232 +0.008069,232 +0.008027,232 +0.008219,232 +0.010375,232 +0.009157,232 +0.007510,232 +0.008506,232 +0.007659,232 +0.007794,232 +0.008050,232 +0.007744,232 +0.008130,232 +0.008074,232 +0.009084,232 +0.007656,232 +0.007832,232 +0.007544,232 +0.007925,232 +0.007558,232 +0.008052,232 +0.007596,232 +0.007857,232 +0.007764,232 +0.008353,232 +0.007662,232 +0.007970,232 +0.007488,232 +0.007856,232 +0.007517,232 +0.007807,232 +0.007618,232 +0.007640,232 +0.007767,232 +0.007442,232 +0.008778,232 +0.008466,232 +0.009341,232 +0.007269,232 +0.007878,232 +0.007136,232 +0.007985,232 +0.007516,232 +0.008181,232 +0.007519,232 +0.007891,232 +0.007465,232 +0.008925,232 +0.007472,232 +0.007641,232 +0.008206,232 +0.007339,232 +0.008165,232 +0.007036,232 +0.008310,232 +0.007241,232 +0.007607,232 +0.007111,232 +0.007456,232 +0.007123,232 +0.007018,232 +0.007113,232 +0.006921,232 +0.007212,232 +0.007295,232 +0.006936,232 +0.006939,232 +0.007001,232 +0.006917,232 +0.006998,232 +0.006892,232 +0.006963,232 +0.006877,232 +0.006901,232 +0.006871,232 +0.006835,232 +0.006900,232 +0.006971,232 +0.007192,232 +0.006898,232 +0.006905,232 +0.006866,232 +0.006936,232 +0.007135,232 +0.006877,232 +0.006894,232 +0.006838,232 +0.006897,232 +0.006900,232 +0.007237,234 +0.007229,234 +0.007226,234 +0.007570,234 +0.007112,234 +0.007043,234 +0.007135,234 +0.007101,234 +0.007239,234 +0.007078,234 +0.007109,234 +0.007069,234 +0.007125,234 +0.007131,234 +0.007047,234 +0.007088,234 +0.007028,234 +0.007460,234 +0.007143,234 +0.007030,234 +0.007112,234 +0.007027,234 +0.007208,234 +0.007024,234 +0.007050,234 +0.007111,234 +0.007026,234 +0.007117,234 +0.007020,234 +0.007249,234 +0.007210,234 +0.007394,234 +0.007278,234 +0.007165,234 +0.007221,234 +0.007963,234 +0.009203,234 +0.008000,234 +0.007206,234 +0.007376,234 +0.007202,234 +0.007165,234 +0.007109,234 +0.007178,234 +0.007352,234 +0.007577,234 +0.007112,234 +0.007174,234 +0.007093,234 +0.007694,234 +0.007190,234 +0.007050,234 +0.007141,234 +0.007084,234 +0.007142,234 +0.007064,234 +0.007727,234 +0.007223,234 +0.007325,234 +0.007454,234 +0.007197,234 +0.007191,234 +0.007104,234 +0.007222,234 +0.007170,234 +0.007125,234 +0.007088,234 +0.007044,234 +0.007124,234 +0.007086,234 +0.007128,234 +0.007025,234 +0.007278,234 +0.007411,234 +0.007062,234 +0.007125,234 +0.007030,234 +0.007122,234 +0.007101,234 +0.007102,234 +0.007911,234 +0.007742,234 +0.008329,234 +0.010380,234 +0.008026,234 +0.008500,234 +0.008256,234 +0.008138,234 +0.008184,234 +0.008851,234 +0.008628,234 +0.009289,234 +0.008313,234 +0.007911,234 +0.007843,234 +0.008029,234 +0.007784,234 +0.007991,234 +0.008368,234 +0.008967,234 +0.008834,236 +0.008266,236 +0.008228,236 +0.008136,236 +0.007759,236 +0.007821,236 +0.007737,236 +0.008175,236 +0.007579,236 +0.007759,236 +0.007853,236 +0.008212,236 +0.007521,236 +0.007879,236 +0.007829,236 +0.008431,236 +0.007612,236 +0.007583,236 +0.007709,236 +0.007579,236 +0.007473,236 +0.007549,236 +0.007520,236 +0.007821,236 +0.007461,236 +0.007356,236 +0.007291,236 +0.007332,236 +0.007349,236 +0.007236,236 +0.007218,236 +0.007238,236 +0.007243,236 +0.007231,236 +0.007609,236 +0.007350,236 +0.007396,236 +0.007753,236 +0.007261,236 +0.007650,236 +0.007419,236 +0.007379,236 +0.007389,236 +0.007298,236 +0.007704,236 +0.007321,236 +0.007505,236 +0.007313,236 +0.007608,236 +0.007351,236 +0.007657,236 +0.007536,236 +0.007321,236 +0.008096,236 +0.007385,236 +0.007427,236 +0.007215,236 +0.007849,236 +0.007234,236 +0.007367,236 +0.007348,236 +0.007299,236 +0.007194,236 +0.007443,236 +0.007902,236 +0.007590,236 +0.007554,236 +0.007431,236 +0.007748,236 +0.007674,236 +0.007683,236 +0.007500,236 +0.007520,236 +0.007672,236 +0.007701,236 +0.007689,236 +0.007781,236 +0.007872,236 +0.007630,236 +0.007828,236 +0.007667,236 +0.008095,236 +0.008005,236 +0.007886,236 +0.011243,236 +0.008679,236 +0.007297,236 +0.007512,236 +0.007207,236 +0.007647,236 +0.007748,236 +0.007369,236 +0.007605,236 +0.007382,236 +0.008036,236 +0.007378,236 +0.007765,236 +0.007261,236 +0.008214,236 +0.007343,236 +0.008624,238 +0.007429,238 +0.008038,238 +0.007670,238 +0.007491,238 +0.007370,238 +0.007469,238 +0.007570,238 +0.007449,238 +0.007586,238 +0.007496,238 +0.007464,238 +0.007847,238 +0.007520,238 +0.007370,238 +0.007655,238 +0.007782,238 +0.007511,238 +0.007451,238 +0.007444,238 +0.007455,238 +0.007374,238 +0.007449,238 +0.007378,238 +0.007449,238 +0.007370,238 +0.007508,238 +0.007370,238 +0.007410,238 +0.007805,238 +0.007561,238 +0.007425,238 +0.007431,238 +0.007451,238 +0.007467,238 +0.007449,238 +0.007414,238 +0.007432,238 +0.007401,238 +0.007409,238 +0.007371,238 +0.007368,238 +0.007521,238 +0.007874,238 +0.007490,238 +0.007442,238 +0.007476,238 +0.007785,238 +0.007454,238 +0.007751,238 +0.007405,238 +0.007598,238 +0.007370,238 +0.007409,238 +0.007369,238 +0.007427,238 +0.008021,238 +0.007421,238 +0.007365,238 +0.007567,238 +0.008946,238 +0.008478,238 +0.010571,238 +0.009349,238 +0.011127,238 +0.009461,238 +0.008439,238 +0.008230,238 +0.008482,238 +0.009090,238 +0.008313,238 +0.008916,238 +0.009600,238 +0.009170,238 +0.008555,238 +0.008817,238 +0.008428,238 +0.008248,238 +0.008378,238 +0.008190,238 +0.008983,238 +0.010074,238 +0.009864,238 +0.009125,238 +0.008735,238 +0.007859,238 +0.007874,238 +0.007669,238 +0.007687,238 +0.007573,238 +0.008210,238 +0.008295,238 +0.008358,238 +0.007898,238 +0.008410,238 +0.007990,238 +0.007957,238 +0.008097,238 +0.008056,238 +0.007972,238 +0.008653,240 +0.008411,240 +0.009443,240 +0.010387,240 +0.009186,240 +0.009200,240 +0.008355,240 +0.008307,240 +0.008691,240 +0.009048,240 +0.009448,240 +0.008462,240 +0.010544,240 +0.009193,240 +0.010076,240 +0.008931,240 +0.008495,240 +0.008309,240 +0.008280,240 +0.008282,240 +0.008086,240 +0.008305,240 +0.008257,240 +0.008537,240 +0.007775,240 +0.008803,240 +0.008156,240 +0.008703,240 +0.007829,240 +0.009971,240 +0.010236,240 +0.011200,240 +0.008115,240 +0.009301,240 +0.007973,240 +0.008482,240 +0.007937,240 +0.008784,240 +0.013206,240 +0.008126,240 +0.008587,240 +0.008093,240 +0.008492,240 +0.007942,240 +0.008638,240 +0.007867,240 +0.008002,240 +0.007985,240 +0.008097,240 +0.008768,240 +0.008668,240 +0.007959,240 +0.008045,240 +0.007915,240 +0.007964,240 +0.009017,240 +0.010591,240 +0.010042,240 +0.011167,240 +0.010816,240 +0.008555,240 +0.010858,240 +0.009223,240 +0.010121,240 +0.008837,240 +0.008203,240 +0.008618,240 +0.008413,240 +0.008477,240 +0.008723,240 +0.008598,240 +0.008431,240 +0.008652,240 +0.008653,240 +0.008365,240 +0.008711,240 +0.008385,240 +0.008926,240 +0.008361,240 +0.008319,240 +0.008091,240 +0.008054,240 +0.008121,240 +0.008434,240 +0.010000,240 +0.011078,240 +0.009180,240 +0.008554,240 +0.008533,240 +0.008538,240 +0.008345,240 +0.008361,240 +0.009772,240 +0.009039,240 +0.008347,240 +0.010383,240 +0.011302,240 +0.009205,240 +0.012062,240 +0.009639,240 +0.010181,242 +0.009269,242 +0.009006,242 +0.009717,242 +0.008504,242 +0.010585,242 +0.008997,242 +0.011064,242 +0.010893,242 +0.009848,242 +0.010563,242 +0.009299,242 +0.010176,242 +0.009776,242 +0.013347,242 +0.009719,242 +0.009009,242 +0.009491,242 +0.009756,242 +0.008917,242 +0.009300,242 +0.008440,242 +0.009133,242 +0.008241,242 +0.008374,242 +0.008364,242 +0.008505,242 +0.008798,242 +0.008924,242 +0.009366,242 +0.009250,242 +0.008463,242 +0.008386,242 +0.009386,242 +0.008959,242 +0.008696,242 +0.008675,242 +0.009764,242 +0.008470,242 +0.008959,242 +0.008126,242 +0.008964,242 +0.007957,242 +0.008368,242 +0.007936,242 +0.008271,242 +0.007890,242 +0.008236,242 +0.008135,242 +0.008964,242 +0.007986,242 +0.008580,242 +0.008036,242 +0.008817,242 +0.007993,242 +0.008811,242 +0.008000,242 +0.008834,242 +0.007999,242 +0.008670,242 +0.008321,242 +0.008742,242 +0.008018,242 +0.008544,242 +0.007957,242 +0.008447,242 +0.008035,242 +0.008698,242 +0.007998,242 +0.009916,242 +0.008943,242 +0.008820,242 +0.008849,242 +0.008685,242 +0.009261,242 +0.010206,242 +0.009261,242 +0.008096,242 +0.008463,242 +0.007979,242 +0.008195,242 +0.007949,242 +0.008773,242 +0.008035,242 +0.009100,242 +0.008042,242 +0.008596,242 +0.008102,242 +0.008360,242 +0.008007,242 +0.008242,242 +0.007991,242 +0.008185,242 +0.007931,242 +0.008300,242 +0.007946,242 +0.009118,242 +0.008265,242 +0.008771,242 +0.008246,242 +0.008730,244 +0.008402,244 +0.009118,244 +0.008417,244 +0.009298,244 +0.008481,244 +0.009313,244 +0.008668,244 +0.008875,244 +0.008600,244 +0.008772,244 +0.009428,244 +0.008755,244 +0.009235,244 +0.009010,244 +0.010082,244 +0.008771,244 +0.010093,244 +0.008906,244 +0.009613,244 +0.009461,244 +0.009210,244 +0.010194,244 +0.009208,244 +0.011270,244 +0.009555,244 +0.009779,244 +0.010409,244 +0.009468,244 +0.009655,244 +0.008584,244 +0.008506,244 +0.008732,244 +0.008071,244 +0.008374,244 +0.008024,244 +0.008208,244 +0.008216,244 +0.008539,244 +0.008170,244 +0.008311,244 +0.009333,244 +0.010456,244 +0.009038,244 +0.009488,244 +0.008646,244 +0.008772,244 +0.008282,244 +0.008996,244 +0.013515,244 +0.011108,244 +0.009122,244 +0.009141,244 +0.010592,244 +0.012973,244 +0.010900,244 +0.008776,244 +0.008599,244 +0.008271,244 +0.008535,244 +0.008380,244 +0.008547,244 +0.008541,244 +0.009122,244 +0.009425,244 +0.009985,244 +0.008869,244 +0.009671,244 +0.008826,244 +0.009167,244 +0.009475,244 +0.010463,244 +0.008845,244 +0.009068,244 +0.009923,244 +0.008686,244 +0.009351,244 +0.008841,244 +0.009443,244 +0.009230,244 +0.009117,244 +0.009444,244 +0.008598,244 +0.011855,244 +0.013583,244 +0.009072,244 +0.009092,244 +0.009185,244 +0.014677,244 +0.011672,244 +0.009429,244 +0.008713,244 +0.008714,244 +0.009273,244 +0.010116,244 +0.009393,244 +0.010491,244 +0.008408,244 +0.009318,244 +0.008508,244 +0.009858,246 +0.009395,246 +0.008938,246 +0.011050,246 +0.008977,246 +0.009164,246 +0.009213,246 +0.009397,246 +0.009276,246 +0.009221,246 +0.009539,246 +0.008873,246 +0.009992,246 +0.009103,246 +0.009691,246 +0.010062,246 +0.009052,246 +0.009601,246 +0.009269,246 +0.009436,246 +0.008698,246 +0.008780,246 +0.008658,246 +0.008635,246 +0.009383,246 +0.008811,246 +0.009192,246 +0.008760,246 +0.009154,246 +0.008547,246 +0.009660,246 +0.010609,246 +0.009080,246 +0.009131,246 +0.009144,246 +0.009341,246 +0.013315,246 +0.009230,246 +0.009309,246 +0.009871,246 +0.008865,246 +0.008572,246 +0.010704,246 +0.008672,246 +0.009686,246 +0.011265,246 +0.009018,246 +0.009531,246 +0.008655,246 +0.010740,246 +0.008935,246 +0.008863,246 +0.008870,246 +0.009304,246 +0.009020,246 +0.008978,246 +0.009087,246 +0.008751,246 +0.009580,246 +0.008960,246 +0.009217,246 +0.008830,246 +0.009173,246 +0.008646,246 +0.009105,246 +0.009314,246 +0.008384,246 +0.009238,246 +0.008834,246 +0.009322,246 +0.008750,246 +0.009035,246 +0.008676,246 +0.009955,246 +0.008648,246 +0.009108,246 +0.008685,246 +0.008831,246 +0.009185,246 +0.009365,246 +0.009642,246 +0.008500,246 +0.009377,246 +0.008589,246 +0.008932,246 +0.008653,246 +0.008815,246 +0.008795,246 +0.009015,246 +0.008711,246 +0.009558,246 +0.009287,246 +0.008655,246 +0.008782,246 +0.008563,246 +0.010632,246 +0.008627,246 +0.009575,246 +0.008599,246 +0.009215,246 +0.009130,248 +0.009244,248 +0.009282,248 +0.008789,248 +0.009308,248 +0.008727,248 +0.009762,248 +0.008719,248 +0.008883,248 +0.008873,248 +0.008978,248 +0.008867,248 +0.010259,248 +0.009395,248 +0.008633,248 +0.009338,248 +0.008758,248 +0.009328,248 +0.009498,248 +0.008909,248 +0.009063,248 +0.009817,248 +0.009740,248 +0.009207,248 +0.009438,248 +0.012479,248 +0.010154,248 +0.009249,248 +0.009299,248 +0.010087,248 +0.009723,248 +0.009695,248 +0.010362,248 +0.010546,248 +0.010629,248 +0.010528,248 +0.015329,248 +0.012274,248 +0.011152,248 +0.009396,248 +0.009280,248 +0.009034,248 +0.012744,248 +0.015582,248 +0.015658,248 +0.015078,248 +0.010024,248 +0.009239,248 +0.009943,248 +0.009773,248 +0.014537,248 +0.017530,248 +0.015920,248 +0.011957,248 +0.009105,248 +0.009083,248 +0.009202,248 +0.009940,248 +0.010099,248 +0.009476,248 +0.009598,248 +0.010707,248 +0.009195,248 +0.009424,248 +0.008605,248 +0.009276,248 +0.008892,248 +0.009204,248 +0.008877,248 +0.009213,248 +0.011625,248 +0.009214,248 +0.009382,248 +0.009043,248 +0.009214,248 +0.008909,248 +0.010248,248 +0.009246,248 +0.009236,248 +0.009438,248 +0.008784,248 +0.011077,248 +0.010114,248 +0.009304,248 +0.009221,248 +0.008766,248 +0.009307,248 +0.008864,248 +0.009873,248 +0.008852,248 +0.009311,248 +0.008867,248 +0.009239,248 +0.009388,248 +0.009156,248 +0.009197,248 +0.008510,248 +0.009130,248 +0.008669,248 +0.009244,248 +0.009025,250 +0.009350,250 +0.008872,250 +0.009456,250 +0.009317,250 +0.008936,250 +0.009422,250 +0.008982,250 +0.009744,250 +0.008988,250 +0.009696,250 +0.009359,250 +0.009167,250 +0.012349,250 +0.009517,250 +0.009812,250 +0.009119,250 +0.009061,250 +0.009260,250 +0.009456,250 +0.009952,250 +0.008818,250 +0.009474,250 +0.008798,250 +0.009091,250 +0.009133,250 +0.009540,250 +0.009433,250 +0.009249,250 +0.010214,250 +0.008713,250 +0.010148,250 +0.008962,250 +0.009849,250 +0.009456,250 +0.009602,250 +0.009677,250 +0.008792,250 +0.009677,250 +0.008841,250 +0.009685,250 +0.009485,250 +0.008924,250 +0.009592,250 +0.008825,250 +0.009603,250 +0.009132,250 +0.009784,250 +0.009045,250 +0.009499,250 +0.009518,250 +0.009109,250 +0.009879,250 +0.008919,250 +0.009706,250 +0.008915,250 +0.009780,250 +0.009812,250 +0.009038,250 +0.009642,250 +0.009030,250 +0.009746,250 +0.008882,250 +0.009732,250 +0.009126,250 +0.009544,250 +0.009785,250 +0.009096,250 +0.009853,250 +0.008885,250 +0.009660,250 +0.009002,250 +0.009631,250 +0.009679,250 +0.008955,250 +0.009704,250 +0.008887,250 +0.013027,250 +0.010948,250 +0.008987,250 +0.009630,250 +0.008881,250 +0.009727,250 +0.009298,250 +0.009833,250 +0.009567,250 +0.009455,250 +0.010065,250 +0.009454,250 +0.010091,250 +0.009412,250 +0.009077,250 +0.009636,250 +0.009303,250 +0.009526,250 +0.008877,250 +0.009605,250 +0.009191,250 +0.010011,250 +0.009709,250 +0.010231,252 +0.012990,252 +0.009854,252 +0.010859,252 +0.014675,252 +0.015726,252 +0.012810,252 +0.014456,252 +0.009736,252 +0.010464,252 +0.010532,252 +0.012710,252 +0.010361,252 +0.009999,252 +0.009827,252 +0.013812,252 +0.010463,252 +0.010301,252 +0.009966,252 +0.009810,252 +0.009776,252 +0.009550,252 +0.009727,252 +0.009798,252 +0.009014,252 +0.011330,252 +0.010802,252 +0.009600,252 +0.010121,252 +0.011557,252 +0.009966,252 +0.010390,252 +0.009430,252 +0.009848,252 +0.010062,252 +0.012363,252 +0.012036,252 +0.009869,252 +0.009844,252 +0.010969,252 +0.011726,252 +0.011246,252 +0.011567,252 +0.009282,252 +0.010693,252 +0.010142,252 +0.009920,252 +0.012229,252 +0.010075,252 +0.009732,252 +0.010298,252 +0.009082,252 +0.010190,252 +0.009417,252 +0.009715,252 +0.015873,252 +0.016372,252 +0.016583,252 +0.015830,252 +0.016000,252 +0.011421,252 +0.010158,252 +0.010739,252 +0.009456,252 +0.012964,252 +0.012191,252 +0.012941,252 +0.011451,252 +0.011859,252 +0.013485,252 +0.011426,252 +0.011688,252 +0.016568,252 +0.016182,252 +0.016828,252 +0.016195,252 +0.016573,252 +0.016100,252 +0.010000,252 +0.009507,252 +0.010536,252 +0.010492,252 +0.009154,252 +0.013518,252 +0.010619,252 +0.012216,252 +0.010740,252 +0.009764,252 +0.009365,252 +0.009776,252 +0.010528,252 +0.009679,252 +0.009761,252 +0.009547,252 +0.010305,252 +0.012599,252 +0.011673,252 +0.009893,252 +0.010159,252 +0.009324,252 +0.010555,254 +0.009937,254 +0.010597,254 +0.010326,254 +0.009800,254 +0.010106,254 +0.009499,254 +0.010620,254 +0.010066,254 +0.009924,254 +0.011003,254 +0.009747,254 +0.009786,254 +0.009392,254 +0.010399,254 +0.011080,254 +0.009258,254 +0.010474,254 +0.009610,254 +0.010054,254 +0.011508,254 +0.009480,254 +0.009833,254 +0.009961,254 +0.009436,254 +0.012692,254 +0.009641,254 +0.010464,254 +0.011081,254 +0.009649,254 +0.010144,254 +0.010091,254 +0.009405,254 +0.009991,254 +0.010172,254 +0.010449,254 +0.010108,254 +0.010207,254 +0.010032,254 +0.009369,254 +0.010225,254 +0.009678,254 +0.016870,254 +0.016472,254 +0.010452,254 +0.011093,254 +0.010473,254 +0.009599,254 +0.014770,254 +0.016677,254 +0.017813,254 +0.017380,254 +0.016409,254 +0.017041,254 +0.016572,254 +0.016370,254 +0.016605,254 +0.016964,254 +0.017444,254 +0.017205,254 +0.016628,254 +0.013205,254 +0.010322,254 +0.009270,254 +0.009769,254 +0.009492,254 +0.009941,254 +0.010107,254 +0.010101,254 +0.010084,254 +0.010374,254 +0.012121,254 +0.012037,254 +0.009778,254 +0.010571,254 +0.009853,254 +0.009496,254 +0.009743,254 +0.009096,254 +0.009745,254 +0.009021,254 +0.010155,254 +0.010309,254 +0.009889,254 +0.011350,254 +0.010828,254 +0.010240,254 +0.009932,254 +0.009917,254 +0.010543,254 +0.010089,254 +0.013366,254 +0.016995,254 +0.017477,254 +0.016690,254 +0.016894,254 +0.018866,254 +0.014139,254 +0.010406,254 +0.009661,254 +0.009779,256 +0.010680,256 +0.010421,256 +0.010054,256 +0.010939,256 +0.009451,256 +0.013862,256 +0.010243,256 +0.009519,256 +0.010374,256 +0.009982,256 +0.010124,256 +0.011400,256 +0.010499,256 +0.009763,256 +0.010973,256 +0.009887,256 +0.010968,256 +0.011389,256 +0.013785,256 +0.009945,256 +0.010088,256 +0.010515,256 +0.010346,256 +0.010209,256 +0.009981,256 +0.010826,256 +0.009649,256 +0.011957,256 +0.010635,256 +0.009541,256 +0.010679,256 +0.010541,256 +0.009604,256 +0.010616,256 +0.009487,256 +0.010491,256 +0.010836,256 +0.013541,256 +0.017591,256 +0.014169,256 +0.012726,256 +0.013956,256 +0.011220,256 +0.010190,256 +0.011644,256 +0.010571,256 +0.010247,256 +0.010495,256 +0.010289,256 +0.010695,256 +0.010168,256 +0.009805,256 +0.011205,256 +0.010342,256 +0.010553,256 +0.010728,256 +0.009985,256 +0.010386,256 +0.010392,256 +0.010682,256 +0.011283,256 +0.011353,256 +0.010878,256 +0.015319,256 +0.015399,256 +0.010297,256 +0.010587,256 +0.017157,256 +0.017762,256 +0.017091,256 +0.017641,256 +0.013289,256 +0.011448,256 +0.011872,256 +0.011224,256 +0.010420,256 +0.011012,256 +0.011475,256 +0.015462,256 +0.012049,256 +0.011826,256 +0.011497,256 +0.011092,256 +0.011921,256 +0.011552,256 +0.011640,256 +0.010822,256 +0.011117,256 +0.010751,256 +0.010827,256 +0.010403,256 +0.009689,256 +0.011013,256 +0.012598,256 +0.009945,256 +0.010082,256 +0.014993,256 +0.009717,256 +0.009882,256 +0.010107,258 +0.009770,258 +0.009796,258 +0.009472,258 +0.009749,258 +0.009416,258 +0.010430,258 +0.009918,258 +0.009482,258 +0.009579,258 +0.009374,258 +0.009683,258 +0.009468,258 +0.009405,258 +0.009450,258 +0.009404,258 +0.009560,258 +0.009866,258 +0.009767,258 +0.009467,258 +0.009433,258 +0.009574,258 +0.009596,258 +0.009561,258 +0.009546,258 +0.009753,258 +0.009619,258 +0.009744,258 +0.010196,258 +0.010095,258 +0.010383,258 +0.010210,258 +0.010262,258 +0.010389,258 +0.010256,258 +0.009983,258 +0.009761,258 +0.009582,258 +0.010053,258 +0.009413,258 +0.009532,258 +0.009446,258 +0.009426,258 +0.009423,258 +0.009346,258 +0.009422,258 +0.009347,258 +0.009394,258 +0.009674,258 +0.009704,258 +0.009396,258 +0.009351,258 +0.009391,258 +0.009346,258 +0.009475,258 +0.009598,258 +0.010080,258 +0.010452,258 +0.010871,258 +0.010423,258 +0.010513,258 +0.010116,258 +0.010210,258 +0.009958,258 +0.009968,258 +0.010047,258 +0.010058,258 +0.010037,258 +0.010153,258 +0.011575,258 +0.012614,258 +0.010947,258 +0.009669,258 +0.009714,258 +0.009688,258 +0.010026,258 +0.009516,258 +0.009797,258 +0.009955,258 +0.010176,258 +0.009922,258 +0.010324,258 +0.010263,258 +0.009942,258 +0.010075,258 +0.010010,258 +0.010313,258 +0.010602,258 +0.010260,258 +0.010234,258 +0.010394,258 +0.010284,258 +0.013337,258 +0.010676,258 +0.010417,258 +0.010114,258 +0.010350,258 +0.012891,258 +0.013548,258 +0.010766,258 +0.011532,260 +0.010968,260 +0.010756,260 +0.010761,260 +0.010170,260 +0.010459,260 +0.013812,260 +0.011390,260 +0.009759,260 +0.010005,260 +0.009683,260 +0.009912,260 +0.009788,260 +0.009833,260 +0.012760,260 +0.019698,260 +0.018735,260 +0.018137,260 +0.018051,260 +0.018126,260 +0.016454,260 +0.010452,260 +0.009917,260 +0.009712,260 +0.010646,260 +0.010046,260 +0.010721,260 +0.010848,260 +0.010831,260 +0.011017,260 +0.010318,260 +0.010154,260 +0.009890,260 +0.009848,260 +0.010152,260 +0.009949,260 +0.009642,260 +0.009848,260 +0.010376,260 +0.010758,260 +0.011059,260 +0.010853,260 +0.012435,260 +0.010276,260 +0.010300,260 +0.012000,260 +0.013294,260 +0.012111,260 +0.011801,260 +0.010755,260 +0.011994,260 +0.011919,260 +0.010789,260 +0.012048,260 +0.011977,260 +0.012300,260 +0.012509,260 +0.012142,260 +0.010451,260 +0.010635,260 +0.010448,260 +0.010917,260 +0.010891,260 +0.010783,260 +0.010708,260 +0.010749,260 +0.010585,260 +0.010855,260 +0.011117,260 +0.010729,260 +0.010794,260 +0.010692,260 +0.010542,260 +0.010503,260 +0.010549,260 +0.010460,260 +0.010503,260 +0.010593,260 +0.010516,260 +0.010728,260 +0.010585,260 +0.010632,260 +0.010700,260 +0.013832,260 +0.011336,260 +0.010597,260 +0.010557,260 +0.010810,260 +0.011117,260 +0.011006,260 +0.011358,260 +0.010412,260 +0.010276,260 +0.011562,260 +0.012203,260 +0.015970,260 +0.009911,260 +0.011294,260 +0.011579,260 +0.012378,260 +0.011885,262 +0.011688,262 +0.012098,262 +0.017249,262 +0.012328,262 +0.017765,262 +0.022648,262 +0.018523,262 +0.011370,262 +0.012250,262 +0.011140,262 +0.010837,262 +0.010156,262 +0.010665,262 +0.010573,262 +0.012050,262 +0.011725,262 +0.011434,262 +0.011467,262 +0.011308,262 +0.012422,262 +0.010747,262 +0.011455,262 +0.012212,262 +0.010871,262 +0.011883,262 +0.011414,262 +0.011060,262 +0.011012,262 +0.011690,262 +0.013613,262 +0.010994,262 +0.011202,262 +0.013261,262 +0.012546,262 +0.013007,262 +0.011315,262 +0.011240,262 +0.010581,262 +0.012079,262 +0.011860,262 +0.011337,262 +0.011544,262 +0.013034,262 +0.011081,262 +0.010664,262 +0.010906,262 +0.012053,262 +0.010731,262 +0.014121,262 +0.011711,262 +0.013684,262 +0.012036,262 +0.012383,262 +0.011715,262 +0.010776,262 +0.011244,262 +0.011810,262 +0.010253,262 +0.010740,262 +0.010743,262 +0.011492,262 +0.011037,262 +0.011238,262 +0.010825,262 +0.011052,262 +0.011090,262 +0.010108,262 +0.011135,262 +0.011111,262 +0.011944,262 +0.011301,262 +0.011062,262 +0.010266,262 +0.012399,262 +0.011177,262 +0.009959,262 +0.010554,262 +0.010458,262 +0.010451,262 +0.010572,262 +0.010284,262 +0.011125,262 +0.011215,262 +0.010490,262 +0.011294,262 +0.010950,262 +0.010181,262 +0.010554,262 +0.010798,262 +0.010588,262 +0.010938,262 +0.011195,262 +0.010304,262 +0.016095,262 +0.013226,262 +0.010853,262 +0.010454,262 +0.010427,262 +0.010101,262 +0.010794,264 +0.011579,264 +0.011372,264 +0.013671,264 +0.012693,264 +0.012298,264 +0.011387,264 +0.010932,264 +0.012185,264 +0.012093,264 +0.010862,264 +0.013355,264 +0.013758,264 +0.012014,264 +0.010772,264 +0.013846,264 +0.010442,264 +0.010146,264 +0.010189,264 +0.010453,264 +0.010165,264 +0.010202,264 +0.010154,264 +0.010184,264 +0.016234,264 +0.010232,264 +0.010653,264 +0.010957,264 +0.010317,264 +0.010160,264 +0.010207,264 +0.010154,264 +0.010074,264 +0.015739,264 +0.010218,264 +0.010167,264 +0.010198,264 +0.010039,264 +0.011495,264 +0.010973,264 +0.010209,264 +0.010213,264 +0.010392,264 +0.010206,264 +0.010219,264 +0.010150,264 +0.010204,264 +0.010077,264 +0.010029,264 +0.010081,264 +0.010087,264 +0.010062,264 +0.010284,264 +0.010231,264 +0.010156,264 +0.010122,264 +0.010094,264 +0.010179,264 +0.009974,264 +0.010217,264 +0.010331,264 +0.010127,264 +0.010511,264 +0.010212,264 +0.010175,264 +0.010099,264 +0.010354,264 +0.010094,264 +0.010020,264 +0.010053,264 +0.010128,264 +0.010016,264 +0.010424,264 +0.010017,264 +0.010142,264 +0.010322,264 +0.009975,264 +0.011610,264 +0.010608,264 +0.010153,264 +0.010441,264 +0.010130,264 +0.010610,264 +0.010203,264 +0.010101,264 +0.010052,264 +0.010070,264 +0.010221,264 +0.010127,264 +0.010209,264 +0.010113,264 +0.010248,264 +0.010656,264 +0.010227,264 +0.010537,264 +0.010463,264 +0.010206,264 +0.009976,264 +0.010978,264 +0.012841,264 +0.011457,266 +0.011325,266 +0.012660,266 +0.011298,266 +0.010768,266 +0.011054,266 +0.010783,266 +0.010563,266 +0.010470,266 +0.010377,266 +0.010594,266 +0.010372,266 +0.010286,266 +0.010322,266 +0.010281,266 +0.010319,266 +0.010380,266 +0.010277,266 +0.010316,266 +0.010538,266 +0.010632,266 +0.010314,266 +0.010246,266 +0.010298,266 +0.010313,266 +0.010222,266 +0.010392,266 +0.010303,266 +0.010258,266 +0.011083,266 +0.011373,266 +0.011394,266 +0.011423,266 +0.011494,266 +0.011362,266 +0.011225,266 +0.011327,266 +0.011162,266 +0.011533,266 +0.012106,266 +0.011551,266 +0.011496,266 +0.012078,266 +0.010990,266 +0.011217,266 +0.011571,266 +0.011147,266 +0.010625,266 +0.011689,266 +0.012289,266 +0.011349,266 +0.012935,266 +0.012327,266 +0.011804,266 +0.011409,266 +0.011983,266 +0.011368,266 +0.011151,266 +0.011225,266 +0.010653,266 +0.010704,266 +0.011275,266 +0.011230,266 +0.011698,266 +0.013166,266 +0.015349,266 +0.018412,266 +0.017065,266 +0.013121,266 +0.011527,266 +0.010822,266 +0.011982,266 +0.011018,266 +0.010638,266 +0.011363,266 +0.012734,266 +0.010482,266 +0.010728,266 +0.010993,266 +0.011482,266 +0.011666,266 +0.011318,266 +0.011667,266 +0.011474,266 +0.012265,266 +0.012166,266 +0.011736,266 +0.012148,266 +0.012070,266 +0.011598,266 +0.013895,266 +0.012129,266 +0.014653,266 +0.012137,266 +0.014748,266 +0.015828,266 +0.013458,266 +0.014819,266 +0.012846,266 +0.016506,266 +0.012439,268 +0.011157,268 +0.012181,268 +0.012792,268 +0.018302,268 +0.012486,268 +0.011053,268 +0.011819,268 +0.012515,268 +0.014427,268 +0.018408,268 +0.021454,268 +0.012570,268 +0.011423,268 +0.011239,268 +0.011432,268 +0.011399,268 +0.011265,268 +0.012256,268 +0.011688,268 +0.011787,268 +0.011798,268 +0.011951,268 +0.011667,268 +0.011537,268 +0.012007,268 +0.010827,268 +0.011254,268 +0.011534,268 +0.011232,268 +0.010853,268 +0.011462,268 +0.011062,268 +0.010949,268 +0.011541,268 +0.011058,268 +0.011035,268 +0.011518,268 +0.011622,268 +0.010679,268 +0.011386,268 +0.012035,268 +0.014004,268 +0.011193,268 +0.012148,268 +0.011543,268 +0.012519,268 +0.011213,268 +0.014361,268 +0.013364,268 +0.013924,268 +0.012259,268 +0.013628,268 +0.012660,268 +0.012574,268 +0.012317,268 +0.012326,268 +0.011779,268 +0.012059,268 +0.011431,268 +0.011946,268 +0.013517,268 +0.015301,268 +0.014987,268 +0.012013,268 +0.012194,268 +0.011377,268 +0.011686,268 +0.011386,268 +0.012465,268 +0.015420,268 +0.020418,268 +0.015497,268 +0.012483,268 +0.011771,268 +0.013726,268 +0.012621,268 +0.012090,268 +0.010986,268 +0.012368,268 +0.011458,268 +0.011811,268 +0.011334,268 +0.017564,268 +0.014490,268 +0.016207,268 +0.013307,268 +0.012526,268 +0.011412,268 +0.012655,268 +0.011794,268 +0.011151,268 +0.012182,268 +0.012015,268 +0.011588,268 +0.011319,268 +0.011843,268 +0.011518,268 +0.013115,268 +0.011957,268 +0.013827,270 +0.011480,270 +0.011624,270 +0.011960,270 +0.013117,270 +0.013719,270 +0.012665,270 +0.014312,270 +0.018070,270 +0.012840,270 +0.013579,270 +0.013749,270 +0.011697,270 +0.011351,270 +0.012223,270 +0.017580,270 +0.011414,270 +0.011318,270 +0.011599,270 +0.011700,270 +0.012627,270 +0.011451,270 +0.011609,270 +0.011333,270 +0.011392,270 +0.010944,270 +0.010892,270 +0.011558,270 +0.011820,270 +0.011908,270 +0.011294,270 +0.011460,270 +0.013014,270 +0.014360,270 +0.011905,270 +0.011698,270 +0.011326,270 +0.011469,270 +0.011072,270 +0.011061,270 +0.012363,270 +0.011825,270 +0.012339,270 +0.011823,270 +0.014907,270 +0.011328,270 +0.011481,270 +0.011953,270 +0.014402,270 +0.014933,270 +0.011434,270 +0.011730,270 +0.011142,270 +0.011680,270 +0.011440,270 +0.011634,270 +0.011048,270 +0.012270,270 +0.011313,270 +0.011724,270 +0.011649,270 +0.014341,270 +0.017158,270 +0.013464,270 +0.011567,270 +0.011611,270 +0.011913,270 +0.013445,270 +0.011918,270 +0.015169,270 +0.014472,270 +0.011883,270 +0.012696,270 +0.012013,270 +0.011942,270 +0.011916,270 +0.011145,270 +0.013960,270 +0.012014,270 +0.011429,270 +0.011623,270 +0.013834,270 +0.011994,270 +0.011362,270 +0.010976,270 +0.011128,270 +0.010985,270 +0.011327,270 +0.011608,270 +0.013648,270 +0.011881,270 +0.011458,270 +0.011348,270 +0.011615,270 +0.012125,270 +0.011188,270 +0.013129,270 +0.011223,270 +0.011644,270 +0.011201,270 +0.011853,272 +0.012187,272 +0.012305,272 +0.013455,272 +0.012277,272 +0.012017,272 +0.015585,272 +0.012174,272 +0.011242,272 +0.011910,272 +0.011257,272 +0.011207,272 +0.011918,272 +0.011065,272 +0.011464,272 +0.012213,272 +0.011118,272 +0.011124,272 +0.011316,272 +0.011282,272 +0.011464,272 +0.011202,272 +0.011479,272 +0.011615,272 +0.011943,272 +0.011892,272 +0.011300,272 +0.013015,272 +0.011799,272 +0.012453,272 +0.011830,272 +0.015279,272 +0.013138,272 +0.011969,272 +0.012412,272 +0.013635,272 +0.011874,272 +0.012776,272 +0.012803,272 +0.012065,272 +0.012143,272 +0.011485,272 +0.011841,272 +0.012257,272 +0.012161,272 +0.011664,272 +0.012727,272 +0.012390,272 +0.011519,272 +0.012903,272 +0.012968,272 +0.011564,272 +0.011474,272 +0.012503,272 +0.013555,272 +0.011861,272 +0.017892,272 +0.012202,272 +0.011796,272 +0.011900,272 +0.011608,272 +0.011639,272 +0.012110,272 +0.011517,272 +0.011523,272 +0.011379,272 +0.011210,272 +0.011205,272 +0.011195,272 +0.011060,272 +0.011284,272 +0.011000,272 +0.011011,272 +0.011319,272 +0.010966,272 +0.011012,272 +0.011026,272 +0.010966,272 +0.010985,272 +0.011140,272 +0.010966,272 +0.011092,272 +0.011223,272 +0.010995,272 +0.011014,272 +0.010989,272 +0.010997,272 +0.010986,272 +0.011621,272 +0.010976,272 +0.011770,272 +0.011894,272 +0.012049,272 +0.012264,272 +0.012022,272 +0.011747,272 +0.012237,272 +0.012840,272 +0.012496,272 +0.018836,272 +0.012484,274 +0.011528,274 +0.011521,274 +0.011412,274 +0.011490,274 +0.011426,274 +0.011435,274 +0.017460,274 +0.011924,274 +0.011255,274 +0.011323,274 +0.011351,274 +0.011352,274 +0.011390,274 +0.011604,274 +0.014364,274 +0.014529,274 +0.011399,274 +0.011264,274 +0.011219,274 +0.011388,274 +0.011373,274 +0.011226,274 +0.011304,274 +0.017376,274 +0.011361,274 +0.011385,274 +0.011204,274 +0.011264,274 +0.011887,274 +0.011308,274 +0.011339,274 +0.017406,274 +0.013205,274 +0.012187,274 +0.011445,274 +0.011474,274 +0.011793,274 +0.011532,274 +0.011725,274 +0.017909,274 +0.011546,274 +0.012766,274 +0.011466,274 +0.011593,274 +0.011637,274 +0.011641,274 +0.013013,274 +0.018135,274 +0.013629,274 +0.011539,274 +0.012274,274 +0.012491,274 +0.011918,274 +0.012186,274 +0.011985,274 +0.017766,274 +0.011750,274 +0.011517,274 +0.011799,274 +0.011707,274 +0.011869,274 +0.012377,274 +0.012414,274 +0.011907,274 +0.012177,274 +0.011493,274 +0.011761,274 +0.012167,274 +0.012437,274 +0.011576,274 +0.011602,274 +0.012961,274 +0.011365,274 +0.011398,274 +0.011277,274 +0.011328,274 +0.011243,274 +0.011415,274 +0.011370,274 +0.011262,274 +0.013047,274 +0.011328,274 +0.011282,274 +0.011300,274 +0.011189,274 +0.011350,274 +0.011451,274 +0.011256,274 +0.011985,274 +0.012333,274 +0.011306,274 +0.011182,274 +0.011293,274 +0.011283,274 +0.011312,274 +0.011405,274 +0.011258,274 +0.012624,274 +0.011732,274 +0.011626,276 +0.011830,276 +0.011472,276 +0.011444,276 +0.012230,276 +0.011908,276 +0.011449,276 +0.013251,276 +0.011545,276 +0.011906,276 +0.011556,276 +0.011654,276 +0.011653,276 +0.011543,276 +0.011620,276 +0.014764,276 +0.012550,276 +0.011524,276 +0.011551,276 +0.011626,276 +0.011757,276 +0.012318,276 +0.011735,276 +0.012132,276 +0.012866,276 +0.011526,276 +0.011551,276 +0.011645,276 +0.011461,276 +0.011700,276 +0.011646,276 +0.011464,276 +0.013195,276 +0.011691,276 +0.011567,276 +0.011444,276 +0.011548,276 +0.011577,276 +0.011507,276 +0.011613,276 +0.011945,276 +0.013265,276 +0.011492,276 +0.011523,276 +0.011529,276 +0.011488,276 +0.011626,276 +0.011577,276 +0.011430,276 +0.013222,276 +0.011690,276 +0.011585,276 +0.011442,276 +0.011534,276 +0.011572,276 +0.011527,276 +0.011698,276 +0.011460,276 +0.013457,276 +0.011480,276 +0.011521,276 +0.011593,276 +0.011477,276 +0.011625,276 +0.011618,276 +0.011504,276 +0.013268,276 +0.011676,276 +0.011595,276 +0.011449,276 +0.011510,276 +0.011694,276 +0.011560,276 +0.011675,276 +0.011486,276 +0.013421,276 +0.011482,276 +0.011500,276 +0.011549,276 +0.011423,276 +0.011618,276 +0.011554,276 +0.011484,276 +0.013115,276 +0.011791,276 +0.011593,276 +0.011446,276 +0.011472,276 +0.011623,276 +0.011769,276 +0.011809,276 +0.011456,276 +0.013300,276 +0.011511,276 +0.011486,276 +0.011532,276 +0.011444,276 +0.011601,276 +0.011573,276 +0.011466,276 +0.014016,278 +0.012821,278 +0.011816,278 +0.011791,278 +0.011814,278 +0.011808,278 +0.011876,278 +0.011704,278 +0.012423,278 +0.013013,278 +0.011796,278 +0.011863,278 +0.011816,278 +0.012011,278 +0.011901,278 +0.011876,278 +0.011801,278 +0.013614,278 +0.012472,278 +0.011975,278 +0.011879,278 +0.011779,278 +0.011925,278 +0.011799,278 +0.011921,278 +0.013394,278 +0.012003,278 +0.011716,278 +0.011783,278 +0.011709,278 +0.011817,278 +0.011915,278 +0.011706,278 +0.012678,278 +0.012789,278 +0.011801,278 +0.011737,278 +0.011810,278 +0.011883,278 +0.011786,278 +0.011824,278 +0.011753,278 +0.013593,278 +0.011803,278 +0.011789,278 +0.011834,278 +0.011888,278 +0.011825,278 +0.011847,278 +0.011877,278 +0.013396,278 +0.011984,278 +0.011737,278 +0.011921,278 +0.011703,278 +0.011848,278 +0.012008,278 +0.012461,278 +0.013065,278 +0.015012,278 +0.011799,278 +0.011843,278 +0.011725,278 +0.011822,278 +0.011867,278 +0.011685,278 +0.012549,278 +0.017619,278 +0.012041,278 +0.011872,278 +0.011734,278 +0.011846,278 +0.011907,278 +0.011726,278 +0.013490,278 +0.016518,278 +0.012111,278 +0.011972,278 +0.011709,278 +0.011893,278 +0.011847,278 +0.011849,278 +0.013321,278 +0.017125,278 +0.011849,278 +0.012183,278 +0.011838,278 +0.011931,278 +0.011931,278 +0.011880,278 +0.016327,278 +0.013564,278 +0.011901,278 +0.011785,278 +0.012227,278 +0.012016,278 +0.015415,278 +0.012437,278 +0.018601,278 +0.011967,278 +0.012358,280 +0.012528,280 +0.012497,280 +0.012089,280 +0.012103,280 +0.013682,280 +0.016582,280 +0.011985,280 +0.012008,280 +0.012124,280 +0.012076,280 +0.012043,280 +0.012039,280 +0.015314,280 +0.015128,280 +0.011979,280 +0.012000,280 +0.012176,280 +0.012002,280 +0.012048,280 +0.011957,280 +0.017007,280 +0.013269,280 +0.011976,280 +0.012094,280 +0.012067,280 +0.012082,280 +0.012120,280 +0.011987,280 +0.018353,280 +0.012012,280 +0.012067,280 +0.011959,280 +0.012076,280 +0.012149,280 +0.011906,280 +0.012002,280 +0.018332,280 +0.012014,280 +0.012062,280 +0.011926,280 +0.012084,280 +0.012065,280 +0.012078,280 +0.011952,280 +0.018367,280 +0.012072,280 +0.011984,280 +0.012042,280 +0.012131,280 +0.012037,280 +0.012020,280 +0.011885,280 +0.018517,280 +0.012033,280 +0.011994,280 +0.012136,280 +0.012023,280 +0.012108,280 +0.012008,280 +0.012312,280 +0.019490,280 +0.012129,280 +0.012053,280 +0.012023,280 +0.012058,280 +0.011982,280 +0.012002,280 +0.015990,280 +0.014953,280 +0.012328,280 +0.012194,280 +0.012157,280 +0.012081,280 +0.012064,280 +0.011945,280 +0.018334,280 +0.012104,280 +0.011964,280 +0.012029,280 +0.012046,280 +0.012069,280 +0.012067,280 +0.012037,280 +0.018357,280 +0.011993,280 +0.012012,280 +0.012035,280 +0.012176,280 +0.011944,280 +0.011945,280 +0.012023,280 +0.018378,280 +0.012070,280 +0.011964,280 +0.012046,280 +0.012120,280 +0.011925,280 +0.011982,280 +0.012008,280 +0.018777,282 +0.012455,282 +0.012229,282 +0.012423,282 +0.012639,282 +0.012323,282 +0.012197,282 +0.017554,282 +0.013383,282 +0.012235,282 +0.012296,282 +0.012469,282 +0.012245,282 +0.012271,282 +0.012269,282 +0.018619,282 +0.012279,282 +0.012240,282 +0.012295,282 +0.012357,282 +0.012275,282 +0.012292,282 +0.012448,282 +0.018508,282 +0.012233,282 +0.012294,282 +0.012277,282 +0.012265,282 +0.012279,282 +0.012284,282 +0.016910,282 +0.014048,282 +0.012333,282 +0.012298,282 +0.012427,282 +0.012202,282 +0.012237,282 +0.012336,282 +0.019885,282 +0.012457,282 +0.012339,282 +0.012278,282 +0.012321,282 +0.012412,282 +0.012197,282 +0.015114,282 +0.016011,282 +0.012308,282 +0.012356,282 +0.012507,282 +0.012255,282 +0.012235,282 +0.012698,282 +0.019801,282 +0.013296,282 +0.013066,282 +0.012764,282 +0.012640,282 +0.012618,282 +0.012736,282 +0.016990,282 +0.014150,282 +0.012346,282 +0.012283,282 +0.012471,282 +0.012238,282 +0.012256,282 +0.012278,282 +0.018771,282 +0.012374,282 +0.012408,282 +0.012287,282 +0.012941,282 +0.012385,282 +0.012293,282 +0.014701,282 +0.016269,282 +0.012355,282 +0.012353,282 +0.012427,282 +0.012444,282 +0.012636,282 +0.013100,282 +0.020059,282 +0.013754,282 +0.015306,282 +0.013966,282 +0.013118,282 +0.013573,282 +0.013209,282 +0.013211,282 +0.013682,282 +0.013451,282 +0.013830,282 +0.016563,282 +0.014275,282 +0.013191,282 +0.014931,282 +0.013361,282 +0.013060,282 +0.013946,284 +0.013994,284 +0.013735,284 +0.013689,284 +0.015005,284 +0.013579,284 +0.013733,284 +0.013731,284 +0.014022,284 +0.013994,284 +0.013784,284 +0.013775,284 +0.013650,284 +0.013812,284 +0.013409,284 +0.013660,284 +0.013485,284 +0.013261,284 +0.012729,284 +0.013414,284 +0.012799,284 +0.012514,284 +0.012703,284 +0.012598,284 +0.012822,284 +0.012455,284 +0.012624,284 +0.012976,284 +0.012607,284 +0.012557,284 +0.012518,284 +0.012584,284 +0.012541,284 +0.013689,284 +0.013699,284 +0.013100,284 +0.013475,284 +0.012920,284 +0.013383,284 +0.014202,284 +0.014666,284 +0.014012,284 +0.013489,284 +0.013736,284 +0.013426,284 +0.013414,284 +0.013479,284 +0.013610,284 +0.013781,284 +0.013853,284 +0.014394,284 +0.013401,284 +0.013368,284 +0.013851,284 +0.013561,284 +0.013997,284 +0.013764,284 +0.015446,284 +0.013561,284 +0.013659,284 +0.013920,284 +0.013185,284 +0.013524,284 +0.013365,284 +0.015054,284 +0.014309,284 +0.013730,284 +0.013936,284 +0.013663,284 +0.013726,284 +0.013492,284 +0.014247,284 +0.013913,284 +0.013512,284 +0.013265,284 +0.013152,284 +0.012955,284 +0.012899,284 +0.012563,284 +0.012663,284 +0.012529,284 +0.012587,284 +0.012622,284 +0.012544,284 +0.012493,284 +0.012484,284 +0.012470,284 +0.012798,284 +0.012542,284 +0.012523,284 +0.012628,284 +0.012525,284 +0.012440,284 +0.012487,284 +0.012466,284 +0.012660,284 +0.012507,284 +0.012504,284 +0.012633,284 +0.012492,284 +0.012885,286 +0.012740,286 +0.012743,286 +0.012959,286 +0.012753,286 +0.012818,286 +0.012940,286 +0.012742,286 +0.012681,286 +0.012706,286 +0.012818,286 +0.013008,286 +0.012674,286 +0.012738,286 +0.013173,286 +0.012881,286 +0.012797,286 +0.013203,286 +0.013836,286 +0.013470,286 +0.013405,286 +0.013145,286 +0.013560,286 +0.013173,286 +0.012748,286 +0.012981,286 +0.013443,286 +0.013051,286 +0.012730,286 +0.012914,286 +0.012685,286 +0.012631,286 +0.012703,286 +0.012712,286 +0.013049,286 +0.012640,286 +0.012690,286 +0.012926,286 +0.012703,286 +0.012614,286 +0.012685,286 +0.012711,286 +0.013000,286 +0.012728,286 +0.012750,286 +0.012863,286 +0.012725,286 +0.012820,286 +0.012615,286 +0.012768,286 +0.012977,286 +0.012775,286 +0.012779,286 +0.012877,286 +0.012749,286 +0.012727,286 +0.012663,286 +0.012842,286 +0.012997,286 +0.012824,286 +0.012818,286 +0.012674,286 +0.012758,286 +0.012853,286 +0.012863,286 +0.012864,286 +0.012988,286 +0.012823,286 +0.012866,286 +0.012704,286 +0.012687,286 +0.012745,286 +0.012806,286 +0.013069,286 +0.012840,286 +0.012767,286 +0.012968,286 +0.012784,286 +0.012612,286 +0.012711,286 +0.012723,286 +0.013276,286 +0.012728,286 +0.012752,286 +0.012881,286 +0.012702,286 +0.012743,286 +0.012612,286 +0.012753,286 +0.013214,286 +0.012757,286 +0.012776,286 +0.012821,286 +0.012775,286 +0.012750,286 +0.012712,286 +0.012857,286 +0.013142,286 +0.012788,286 +0.012879,286 +0.013201,288 +0.012976,288 +0.013002,288 +0.012988,288 +0.013214,288 +0.013187,288 +0.013072,288 +0.013409,288 +0.013022,288 +0.012897,288 +0.013063,288 +0.012993,288 +0.013472,288 +0.013100,288 +0.012897,288 +0.013178,288 +0.013025,288 +0.013024,288 +0.013205,288 +0.013200,288 +0.013378,288 +0.013053,288 +0.013097,288 +0.014063,288 +0.013531,288 +0.013111,288 +0.012972,288 +0.013326,288 +0.013193,288 +0.013007,288 +0.013126,288 +0.013079,288 +0.013020,288 +0.013074,288 +0.013201,288 +0.013680,288 +0.013155,288 +0.013164,288 +0.013608,288 +0.013087,288 +0.013348,288 +0.013029,288 +0.013178,288 +0.013346,288 +0.013070,288 +0.013138,288 +0.013156,288 +0.013135,288 +0.013054,288 +0.013051,288 +0.013585,288 +0.014019,288 +0.013054,288 +0.013111,288 +0.013063,288 +0.013061,288 +0.013035,288 +0.013075,288 +0.013358,288 +0.013098,288 +0.013045,288 +0.013083,288 +0.012938,288 +0.012982,288 +0.013000,288 +0.013198,288 +0.013349,288 +0.013032,288 +0.013157,288 +0.013035,288 +0.013016,288 +0.012915,288 +0.013047,288 +0.013452,288 +0.013033,288 +0.012995,288 +0.012971,288 +0.013044,288 +0.013024,288 +0.012997,288 +0.013056,288 +0.013446,288 +0.013038,288 +0.013153,288 +0.013140,288 +0.012877,288 +0.012974,288 +0.013012,288 +0.013184,288 +0.013406,288 +0.012904,288 +0.013190,288 +0.013045,288 +0.013018,288 +0.012908,288 +0.012955,288 +0.013446,288 +0.013057,288 +0.013114,288 +0.012941,288 +0.013481,290 +0.013334,290 +0.013320,290 +0.013323,290 +0.013687,290 +0.013270,290 +0.013456,290 +0.013301,290 +0.013286,290 +0.013170,290 +0.013281,290 +0.013732,290 +0.013544,290 +0.013473,290 +0.014077,290 +0.013593,290 +0.013379,290 +0.013369,290 +0.013526,290 +0.013858,290 +0.013238,290 +0.013551,290 +0.013339,290 +0.013329,290 +0.013351,290 +0.013180,290 +0.013894,290 +0.013400,290 +0.013488,290 +0.013460,290 +0.013149,290 +0.013432,290 +0.014937,290 +0.013927,290 +0.013685,290 +0.013380,290 +0.013409,290 +0.013391,290 +0.013376,290 +0.013751,290 +0.013292,290 +0.013819,290 +0.013339,290 +0.013473,290 +0.013314,290 +0.013291,290 +0.013173,290 +0.013790,290 +0.013684,290 +0.013551,290 +0.013448,290 +0.013325,290 +0.013243,290 +0.013352,290 +0.013321,290 +0.013306,290 +0.013955,290 +0.013242,290 +0.013509,290 +0.013295,290 +0.013302,290 +0.013305,290 +0.013144,290 +0.013688,290 +0.013629,290 +0.013456,290 +0.013424,290 +0.013146,290 +0.013349,290 +0.013292,290 +0.013466,290 +0.013820,290 +0.013269,290 +0.013694,290 +0.013465,290 +0.013425,290 +0.013293,290 +0.013317,290 +0.013721,290 +0.013529,290 +0.013479,290 +0.013367,290 +0.013148,290 +0.013268,290 +0.013541,290 +0.013400,290 +0.013686,290 +0.013212,290 +0.013478,290 +0.013329,290 +0.013299,290 +0.013286,290 +0.013170,290 +0.013637,290 +0.013704,290 +0.013489,290 +0.013450,290 +0.013332,290 +0.013141,290 +0.013324,290 +0.014173,292 +0.013964,292 +0.013706,292 +0.013608,292 +0.013528,292 +0.013538,292 +0.013556,292 +0.013539,292 +0.014056,292 +0.013518,292 +0.013774,292 +0.013569,292 +0.013601,292 +0.013535,292 +0.013463,292 +0.013851,292 +0.013804,292 +0.013714,292 +0.013679,292 +0.013573,292 +0.013422,292 +0.013563,292 +0.013673,292 +0.013962,292 +0.013572,292 +0.013598,292 +0.013531,292 +0.013587,292 +0.013540,292 +0.013535,292 +0.013977,292 +0.013441,292 +0.013751,292 +0.013548,292 +0.013621,292 +0.013551,292 +0.013401,292 +0.013880,292 +0.013904,292 +0.013742,292 +0.013665,292 +0.013593,292 +0.013414,292 +0.013546,292 +0.013682,292 +0.014659,292 +0.014596,292 +0.014658,292 +0.013872,292 +0.014497,292 +0.014095,292 +0.014564,292 +0.014594,292 +0.015230,292 +0.014673,292 +0.014149,292 +0.014151,292 +0.014572,292 +0.014287,292 +0.014656,292 +0.014418,292 +0.014275,292 +0.013836,292 +0.013588,292 +0.013943,292 +0.014227,292 +0.014491,292 +0.014003,292 +0.013849,292 +0.013481,292 +0.014047,292 +0.013839,292 +0.013693,292 +0.014099,292 +0.015242,292 +0.014441,292 +0.014667,292 +0.015529,292 +0.016512,292 +0.016460,292 +0.015420,292 +0.016760,292 +0.014867,292 +0.014562,292 +0.014597,292 +0.014859,292 +0.014662,292 +0.014812,292 +0.015283,292 +0.015188,292 +0.014670,292 +0.014191,292 +0.014242,292 +0.014280,292 +0.014270,292 +0.014309,292 +0.013729,292 +0.013819,292 +0.014126,292 +0.013795,292 +0.014795,294 +0.014027,294 +0.013913,294 +0.013824,294 +0.015135,294 +0.016026,294 +0.015641,294 +0.015718,294 +0.015860,294 +0.015509,294 +0.015591,294 +0.014985,294 +0.015005,294 +0.016038,294 +0.016855,294 +0.016140,294 +0.015329,294 +0.015619,294 +0.015057,294 +0.014654,294 +0.015085,294 +0.015368,294 +0.015454,294 +0.015917,294 +0.015275,294 +0.015016,294 +0.015117,294 +0.015881,294 +0.017002,294 +0.016115,294 +0.016410,294 +0.015987,294 +0.014855,294 +0.015974,294 +0.014814,294 +0.015446,294 +0.015848,294 +0.015758,294 +0.014875,294 +0.014658,294 +0.014860,294 +0.015297,294 +0.016768,294 +0.015180,294 +0.014770,294 +0.015168,294 +0.015061,294 +0.015951,294 +0.017409,294 +0.017436,294 +0.017312,294 +0.015754,294 +0.016206,294 +0.016827,294 +0.016502,294 +0.016044,294 +0.015842,294 +0.018897,294 +0.019509,294 +0.018065,294 +0.019213,294 +0.015811,294 +0.015241,294 +0.014296,294 +0.015615,294 +0.017037,294 +0.017171,294 +0.015242,294 +0.015142,294 +0.015733,294 +0.016041,294 +0.015273,294 +0.015189,294 +0.015082,294 +0.015422,294 +0.016060,294 +0.016130,294 +0.016446,294 +0.017918,294 +0.016325,294 +0.016780,294 +0.015085,294 +0.014598,294 +0.015548,294 +0.018661,294 +0.018239,294 +0.015832,294 +0.015122,294 +0.018574,294 +0.017859,294 +0.016707,294 +0.014995,294 +0.015211,294 +0.014929,294 +0.015035,294 +0.014774,294 +0.014655,294 +0.015027,294 +0.015038,294 +0.015198,294 +0.014681,296 +0.014288,296 +0.015142,296 +0.015681,296 +0.015230,296 +0.015222,296 +0.015204,296 +0.015051,296 +0.015135,296 +0.015832,296 +0.016320,296 +0.015317,296 +0.015174,296 +0.014283,296 +0.016614,296 +0.016972,296 +0.014858,296 +0.014459,296 +0.014602,296 +0.014277,296 +0.015539,296 +0.015612,296 +0.016112,296 +0.015737,296 +0.015104,296 +0.014696,296 +0.015561,296 +0.015715,296 +0.015489,296 +0.015198,296 +0.015239,296 +0.015045,296 +0.015285,296 +0.015164,296 +0.014412,296 +0.014795,296 +0.014220,296 +0.014082,296 +0.013997,296 +0.014116,296 +0.014535,296 +0.014673,296 +0.015166,296 +0.015054,296 +0.014801,296 +0.016423,296 +0.019121,296 +0.016707,296 +0.017321,296 +0.015645,296 +0.015656,296 +0.014643,296 +0.014348,296 +0.014928,296 +0.015420,296 +0.015165,296 +0.015154,296 +0.014837,296 +0.015405,296 +0.015458,296 +0.023828,296 +0.024815,296 +0.016970,296 +0.017982,296 +0.015732,296 +0.016239,296 +0.015299,296 +0.014810,296 +0.014520,296 +0.014830,296 +0.015901,296 +0.015074,296 +0.015274,296 +0.016604,296 +0.015285,296 +0.014779,296 +0.015344,296 +0.015064,296 +0.014944,296 +0.016107,296 +0.015013,296 +0.014853,296 +0.014481,296 +0.015386,296 +0.014975,296 +0.015724,296 +0.014866,296 +0.015657,296 +0.014461,296 +0.014291,296 +0.014056,296 +0.014826,296 +0.014428,296 +0.015374,296 +0.014666,296 +0.015026,296 +0.014345,296 +0.014619,296 +0.015102,296 +0.014787,296 +0.015666,298 +0.014854,298 +0.015187,298 +0.015992,298 +0.016170,298 +0.015382,298 +0.016049,298 +0.015758,298 +0.016153,298 +0.015938,298 +0.016403,298 +0.016760,298 +0.016727,298 +0.017336,298 +0.015007,298 +0.015812,298 +0.016600,298 +0.017088,298 +0.021346,298 +0.016721,298 +0.018078,298 +0.016002,298 +0.015634,298 +0.016869,298 +0.015550,298 +0.015720,298 +0.015011,298 +0.015664,298 +0.015481,298 +0.015510,298 +0.018328,298 +0.020421,298 +0.015091,298 +0.014703,298 +0.014954,298 +0.014855,298 +0.016252,298 +0.017516,298 +0.018290,298 +0.017556,298 +0.016717,298 +0.019328,298 +0.018002,298 +0.017207,298 +0.017260,298 +0.016040,298 +0.015982,298 +0.015778,298 +0.016230,298 +0.017668,298 +0.016499,298 +0.017272,298 +0.015800,298 +0.015261,298 +0.015103,298 +0.015956,298 +0.016004,298 +0.016785,298 +0.016497,298 +0.015962,298 +0.015830,298 +0.017555,298 +0.016003,298 +0.016073,298 +0.016233,298 +0.016343,298 +0.015528,298 +0.017081,298 +0.015666,298 +0.015200,298 +0.015575,298 +0.014971,298 +0.015492,298 +0.016195,298 +0.016266,298 +0.015414,298 +0.015653,298 +0.015342,298 +0.015384,298 +0.015154,298 +0.017177,298 +0.016570,298 +0.017330,298 +0.016724,298 +0.018397,298 +0.021554,298 +0.025023,298 +0.016175,298 +0.017001,298 +0.016864,298 +0.016334,298 +0.016042,298 +0.015923,298 +0.017484,298 +0.016283,298 +0.014971,298 +0.015364,298 +0.016135,298 +0.016538,298 +0.015348,298 diff --git a/buch/papers/multiplikation/code/meas/test/winograd.txt b/buch/papers/multiplikation/code/meas/test/winograd.txt new file mode 100644 index 0000000..d01fefd --- /dev/null +++ b/buch/papers/multiplikation/code/meas/test/winograd.txt @@ -0,0 +1,14900 @@ +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000010,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000010,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000010,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000011,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000010,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000001,6 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000012,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000011,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000012,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000011,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000014,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000011,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000015,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000011,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000011,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000011,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000013,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000012,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000013,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000005,10 +0.000005,10 +0.000005,10 +0.000014,10 +0.000004,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000003,10 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000015,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000014,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000005,12 +0.000008,14 +0.000008,14 +0.000018,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000017,14 +0.000012,14 +0.000013,14 +0.000009,14 +0.000011,14 +0.000014,14 +0.000010,14 +0.000008,14 +0.000008,14 +0.000014,14 +0.000013,14 +0.000010,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000015,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000012,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000009,14 +0.000010,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000017,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000008,14 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000022,16 +0.000011,16 +0.000011,16 +0.000020,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000021,16 +0.000011,16 +0.000011,16 +0.000020,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000016,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000027,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000015,18 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000026,20 +0.000028,20 +0.000031,20 +0.000031,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000031,20 +0.000052,20 +0.000021,20 +0.000021,20 +0.000030,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000028,20 +0.000025,20 +0.000032,20 +0.000036,20 +0.000031,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000021,20 +0.000031,20 +0.000021,20 +0.000030,20 +0.000031,20 +0.000048,22 +0.000038,22 +0.000028,22 +0.000037,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000035,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000035,22 +0.000037,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000029,22 +0.000042,22 +0.000042,22 +0.000036,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000027,22 +0.000036,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000052,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000047,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000048,24 +0.000070,24 +0.000045,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000046,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000035,24 +0.000043,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000034,24 +0.000044,26 +0.000043,26 +0.000052,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000044,26 +0.000057,26 +0.000045,26 +0.000044,26 +0.000044,26 +0.000052,26 +0.000043,26 +0.000043,26 +0.000084,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000061,26 +0.000062,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000053,26 +0.000053,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000067,26 +0.000073,26 +0.000044,26 +0.000072,26 +0.000074,26 +0.000053,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000061,26 +0.000057,26 +0.000053,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000043,26 +0.000065,26 +0.000091,26 +0.000047,26 +0.000044,26 +0.000044,26 +0.000048,26 +0.000044,26 +0.000044,26 +0.000049,26 +0.000048,26 +0.000053,26 +0.000043,26 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000084,28 +0.000084,28 +0.000098,28 +0.000063,28 +0.000054,28 +0.000054,28 +0.000064,28 +0.000084,28 +0.000064,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000081,28 +0.000063,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000053,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000053,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000064,28 +0.000074,28 +0.000085,28 +0.000095,28 +0.000063,28 +0.000054,28 +0.000064,28 +0.000073,28 +0.000085,28 +0.000064,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000053,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000053,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000062,28 +0.000092,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000054,28 +0.000067,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000066,30 +0.000066,30 +0.000065,30 +0.000098,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000066,30 +0.000065,30 +0.000066,30 +0.000066,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000104,30 +0.000077,30 +0.000127,30 +0.000075,30 +0.000065,30 +0.000066,30 +0.000095,30 +0.000086,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000076,30 +0.000087,30 +0.000140,30 +0.000075,30 +0.000066,30 +0.000085,30 +0.000106,30 +0.000076,30 +0.000066,30 +0.000065,30 +0.000066,30 +0.000101,30 +0.000065,30 +0.000065,30 +0.000066,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000066,30 +0.000065,30 +0.000066,30 +0.000066,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000074,30 +0.000067,30 +0.000067,30 +0.000067,30 +0.000067,30 +0.000067,30 +0.000067,30 +0.000067,30 +0.000067,30 +0.000067,30 +0.000067,30 +0.000067,30 +0.000067,30 +0.000067,30 +0.000067,30 +0.000098,30 +0.000108,30 +0.000075,30 +0.000065,30 +0.000085,30 +0.000106,30 +0.000076,30 +0.000066,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000065,30 +0.000066,30 +0.000066,30 +0.000065,30 +0.000065,30 +0.000066,30 +0.000065,30 +0.000065,30 +0.000076,30 +0.000081,30 +0.000103,30 +0.000096,30 +0.000069,30 +0.000091,30 +0.000080,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000090,32 +0.000089,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000110,32 +0.000138,32 +0.000099,32 +0.000079,32 +0.000099,32 +0.000120,32 +0.000089,32 +0.000079,32 +0.000119,32 +0.000121,32 +0.000081,32 +0.000085,32 +0.000086,32 +0.000093,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000114,32 +0.000110,32 +0.000155,32 +0.000089,32 +0.000079,32 +0.000090,32 +0.000120,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000109,32 +0.000112,32 +0.000132,32 +0.000079,32 +0.000079,32 +0.000121,32 +0.000089,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000105,32 +0.000089,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000103,32 +0.000089,32 +0.000096,34 +0.000094,34 +0.000094,34 +0.000125,34 +0.000139,34 +0.000115,34 +0.000114,34 +0.000136,34 +0.000104,34 +0.000094,34 +0.000104,34 +0.000119,34 +0.000094,34 +0.000094,34 +0.000094,34 +0.000094,34 +0.000094,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000126,34 +0.000168,34 +0.000104,34 +0.000115,34 +0.000136,34 +0.000105,34 +0.000095,34 +0.000139,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000106,34 +0.000159,34 +0.000134,34 +0.000095,34 +0.000125,34 +0.000116,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000131,34 +0.000095,34 +0.000095,34 +0.000125,34 +0.000165,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000095,34 +0.000125,34 +0.000143,34 +0.000149,34 +0.000095,34 +0.000115,34 +0.000136,34 +0.000104,34 +0.000095,34 +0.000105,34 +0.000133,34 +0.000152,34 +0.000095,34 +0.000105,34 +0.000135,34 +0.000094,34 +0.000094,34 +0.000094,34 +0.000094,34 +0.000094,34 +0.000094,34 +0.000095,34 +0.000112,36 +0.000123,36 +0.000175,36 +0.000120,36 +0.000146,36 +0.000125,36 +0.000115,36 +0.000115,36 +0.000131,36 +0.000124,36 +0.000124,36 +0.000124,36 +0.000124,36 +0.000140,36 +0.000129,36 +0.000124,36 +0.000159,36 +0.000135,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000114,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000115,36 +0.000150,36 +0.000122,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000133,36 +0.000151,36 +0.000163,36 +0.000153,36 +0.000152,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000145,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000152,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000123,36 +0.000148,36 +0.000127,36 +0.000123,36 +0.000163,36 +0.000121,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000132,36 +0.000111,36 +0.000112,36 +0.000112,36 +0.000112,36 +0.000133,38 +0.000131,38 +0.000131,38 +0.000173,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000141,38 +0.000189,38 +0.000178,38 +0.000140,38 +0.000182,38 +0.000141,38 +0.000131,38 +0.000138,38 +0.000181,38 +0.000175,38 +0.000181,38 +0.000162,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000146,38 +0.000174,38 +0.000230,38 +0.000194,38 +0.000195,38 +0.000222,38 +0.000131,38 +0.000134,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000132,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000132,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000132,38 +0.000131,38 +0.000175,38 +0.000197,38 +0.000144,38 +0.000176,38 +0.000175,38 +0.000134,38 +0.000135,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000182,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000152,38 +0.000131,38 +0.000141,38 +0.000189,38 +0.000179,38 +0.000172,38 +0.000171,38 +0.000131,38 +0.000169,38 +0.000131,38 +0.000141,38 +0.000140,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000131,38 +0.000177,38 +0.000163,38 +0.000161,38 +0.000182,38 +0.000131,38 +0.000131,38 +0.000149,38 +0.000209,40 +0.000172,40 +0.000213,40 +0.000152,40 +0.000152,40 +0.000152,40 +0.000152,40 +0.000152,40 +0.000152,40 +0.000152,40 +0.000152,40 +0.000192,40 +0.000152,40 +0.000152,40 +0.000152,40 +0.000152,40 +0.000152,40 +0.000153,40 +0.000217,40 +0.000162,40 +0.000203,40 +0.000209,40 +0.000152,40 +0.000152,40 +0.000152,40 +0.000174,40 +0.000152,40 +0.000152,40 +0.000163,40 +0.000179,40 +0.000210,40 +0.000172,40 +0.000225,40 +0.000160,40 +0.000200,40 +0.000195,40 +0.000184,40 +0.000167,40 +0.000154,40 +0.000174,40 +0.000181,40 +0.000166,40 +0.000162,40 +0.000153,40 +0.000165,40 +0.000165,40 +0.000153,40 +0.000164,40 +0.000157,40 +0.000157,40 +0.000157,40 +0.000157,40 +0.000157,40 +0.000163,40 +0.000153,40 +0.000153,40 +0.000153,40 +0.000164,40 +0.000195,40 +0.000158,40 +0.000153,40 +0.000185,40 +0.000165,40 +0.000153,40 +0.000153,40 +0.000163,40 +0.000165,40 +0.000152,40 +0.000153,40 +0.000153,40 +0.000153,40 +0.000169,40 +0.000272,40 +0.000177,40 +0.000195,40 +0.000196,40 +0.000162,40 +0.000210,40 +0.000177,40 +0.000166,40 +0.000176,40 +0.000258,40 +0.000241,40 +0.000176,40 +0.000166,40 +0.000156,40 +0.000156,40 +0.000156,40 +0.000156,40 +0.000156,40 +0.000156,40 +0.000156,40 +0.000156,40 +0.000184,40 +0.000184,40 +0.000198,40 +0.000158,40 +0.000158,40 +0.000158,40 +0.000158,40 +0.000184,42 +0.000182,42 +0.000182,42 +0.000182,42 +0.000238,42 +0.000302,42 +0.000215,42 +0.000192,42 +0.000182,42 +0.000182,42 +0.000182,42 +0.000182,42 +0.000182,42 +0.000182,42 +0.000206,42 +0.000199,42 +0.000188,42 +0.000203,42 +0.000182,42 +0.000182,42 +0.000182,42 +0.000182,42 +0.000182,42 +0.000182,42 +0.000206,42 +0.000309,42 +0.000182,42 +0.000222,42 +0.000182,42 +0.000219,42 +0.000280,42 +0.000212,42 +0.000225,42 +0.000187,42 +0.000187,42 +0.000187,42 +0.000191,42 +0.000187,42 +0.000187,42 +0.000305,42 +0.000270,42 +0.000180,42 +0.000204,42 +0.000298,42 +0.000289,42 +0.000190,42 +0.000180,42 +0.000180,42 +0.000180,42 +0.000180,42 +0.000180,42 +0.000180,42 +0.000201,42 +0.000314,42 +0.000307,42 +0.000314,42 +0.000338,42 +0.000333,42 +0.000327,42 +0.000317,42 +0.000329,42 +0.000328,42 +0.000363,42 +0.000331,42 +0.000323,42 +0.000311,42 +0.000269,42 +0.000233,42 +0.000212,42 +0.000217,42 +0.000272,42 +0.000322,42 +0.000341,42 +0.000225,42 +0.000195,42 +0.000182,42 +0.000182,42 +0.000207,42 +0.000273,42 +0.000187,42 +0.000187,42 +0.000187,42 +0.000187,42 +0.000193,42 +0.000182,42 +0.000182,42 +0.000182,42 +0.000215,42 +0.000220,42 +0.000202,42 +0.000191,42 +0.000208,42 +0.000180,42 +0.000180,42 +0.000180,42 +0.000180,42 +0.000180,42 +0.000180,42 +0.000180,42 +0.000180,42 +0.000209,44 +0.000207,44 +0.000207,44 +0.000285,44 +0.000239,44 +0.000239,44 +0.000247,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000253,44 +0.000235,44 +0.000246,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000221,44 +0.000212,44 +0.000212,44 +0.000263,44 +0.000250,44 +0.000227,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000226,44 +0.000207,44 +0.000207,44 +0.000257,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000246,44 +0.000249,44 +0.000217,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000244,44 +0.000239,44 +0.000207,44 +0.000207,44 +0.000231,44 +0.000240,44 +0.000247,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000273,44 +0.000237,44 +0.000216,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000224,44 +0.000245,44 +0.000262,44 +0.000227,44 +0.000207,44 +0.000207,44 +0.000212,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000226,44 +0.000271,44 +0.000272,44 +0.000212,44 +0.000217,44 +0.000212,44 +0.000212,44 +0.000212,44 +0.000212,44 +0.000212,44 +0.000245,44 +0.000227,44 +0.000207,44 +0.000207,44 +0.000210,44 +0.000249,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000207,44 +0.000237,46 +0.000261,46 +0.000249,46 +0.000236,46 +0.000236,46 +0.000255,46 +0.000240,46 +0.000281,46 +0.000263,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000235,46 +0.000236,46 +0.000274,46 +0.000241,46 +0.000274,46 +0.000230,46 +0.000229,46 +0.000230,46 +0.000259,46 +0.000357,46 +0.000296,46 +0.000256,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000255,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000255,46 +0.000248,46 +0.000269,46 +0.000253,46 +0.000229,46 +0.000324,46 +0.000286,46 +0.000245,46 +0.000240,46 +0.000282,46 +0.000265,46 +0.000230,46 +0.000230,46 +0.000230,46 +0.000230,46 +0.000283,46 +0.000302,46 +0.000239,46 +0.000230,46 +0.000230,46 +0.000230,46 +0.000229,46 +0.000230,46 +0.000229,46 +0.000230,46 +0.000229,46 +0.000230,46 +0.000229,46 +0.000230,46 +0.000230,46 +0.000230,46 +0.000229,46 +0.000230,46 +0.000280,46 +0.000230,46 +0.000230,46 +0.000229,46 +0.000229,46 +0.000322,46 +0.000386,46 +0.000279,46 +0.000242,46 +0.000242,46 +0.000242,46 +0.000267,46 +0.000236,46 +0.000236,46 +0.000235,46 +0.000236,46 +0.000260,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000235,46 +0.000236,46 +0.000236,46 +0.000236,46 +0.000242,46 +0.000265,46 +0.000372,46 +0.000339,48 +0.000281,48 +0.000438,48 +0.000286,48 +0.000281,48 +0.000260,48 +0.000276,48 +0.000333,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000293,48 +0.000363,48 +0.000319,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000299,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000371,48 +0.000476,48 +0.000272,48 +0.000263,48 +0.000304,48 +0.000263,48 +0.000309,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000300,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000352,48 +0.000466,48 +0.000337,48 +0.000263,48 +0.000263,48 +0.000263,48 +0.000378,48 +0.000471,48 +0.000335,48 +0.000260,48 +0.000260,48 +0.000260,48 +0.000358,48 +0.000337,48 +0.000293,48 +0.000260,48 +0.000274,48 +0.000271,48 +0.000274,48 +0.000271,48 +0.000273,48 +0.000271,48 +0.000282,48 +0.000283,48 +0.000260,48 +0.000260,48 +0.000285,48 +0.000260,48 +0.000284,48 +0.000260,48 +0.000272,48 +0.000272,48 +0.000260,48 +0.000331,48 +0.000461,48 +0.000328,48 +0.000291,48 +0.000325,48 +0.000402,48 +0.000333,48 +0.000284,48 +0.000300,50 +0.000316,50 +0.000297,50 +0.000297,50 +0.000297,50 +0.000533,50 +0.000402,50 +0.000340,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000400,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000301,50 +0.000506,50 +0.000445,50 +0.000294,50 +0.000309,50 +0.000424,50 +0.000302,50 +0.000304,50 +0.000304,50 +0.000310,50 +0.000294,50 +0.000294,50 +0.000344,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000355,50 +0.000308,50 +0.000333,50 +0.000294,50 +0.000333,50 +0.000465,50 +0.000440,50 +0.000349,50 +0.000508,50 +0.000297,50 +0.000297,50 +0.000297,50 +0.000297,50 +0.000341,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000313,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000374,50 +0.000299,50 +0.000294,50 +0.000344,50 +0.000294,50 +0.000300,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000572,50 +0.000427,50 +0.000297,50 +0.000297,50 +0.000297,50 +0.000332,50 +0.000297,50 +0.000297,50 +0.000297,50 +0.000297,50 +0.000297,50 +0.000297,50 +0.000297,50 +0.000297,50 +0.000297,50 +0.000461,50 +0.000454,50 +0.000376,50 +0.000313,50 +0.000294,50 +0.000294,50 +0.000294,50 +0.000354,50 +0.000294,50 +0.000588,52 +0.000370,52 +0.000333,52 +0.000333,52 +0.000378,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000415,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000655,52 +0.000353,52 +0.000591,52 +0.000396,52 +0.000367,52 +0.000341,52 +0.000375,52 +0.000330,52 +0.000330,52 +0.000378,52 +0.000591,52 +0.000334,52 +0.000333,52 +0.000333,52 +0.000333,52 +0.000333,52 +0.000333,52 +0.000375,52 +0.000330,52 +0.000369,52 +0.000330,52 +0.000330,52 +0.000336,52 +0.000493,52 +0.000479,52 +0.000333,52 +0.000333,52 +0.000333,52 +0.000378,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000494,52 +0.000468,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000376,52 +0.000408,52 +0.000376,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000575,52 +0.000368,52 +0.000330,52 +0.000340,52 +0.000405,52 +0.000378,52 +0.000339,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000600,52 +0.000340,52 +0.000330,52 +0.000330,52 +0.000345,52 +0.000349,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000390,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000382,52 +0.000589,52 +0.000369,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000329,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000330,52 +0.000372,54 +0.000369,54 +0.000369,54 +0.000579,54 +0.000500,54 +0.000471,54 +0.000378,54 +0.000369,54 +0.000379,54 +0.000378,54 +0.000443,54 +0.000369,54 +0.000410,54 +0.000515,54 +0.000437,54 +0.000546,54 +0.000378,54 +0.000377,54 +0.000369,54 +0.000380,54 +0.000588,54 +0.000405,54 +0.000368,54 +0.000369,54 +0.000369,54 +0.000369,54 +0.000369,54 +0.000431,54 +0.000369,54 +0.000369,54 +0.000369,54 +0.000410,54 +0.000413,54 +0.000369,54 +0.000369,54 +0.000651,54 +0.000382,54 +0.000373,54 +0.000373,54 +0.000373,54 +0.000373,54 +0.000373,54 +0.000416,54 +0.000369,54 +0.000369,54 +0.000369,54 +0.000400,54 +0.000459,54 +0.000369,54 +0.000369,54 +0.000381,54 +0.000378,54 +0.000402,54 +0.000379,54 +0.000411,54 +0.000527,54 +0.000369,54 +0.000379,54 +0.000408,54 +0.000369,54 +0.000369,54 +0.000369,54 +0.000404,54 +0.000369,54 +0.000409,54 +0.000369,54 +0.000369,54 +0.000389,54 +0.000369,54 +0.000459,54 +0.000376,54 +0.000438,54 +0.000442,54 +0.000378,54 +0.000369,54 +0.000369,54 +0.000541,54 +0.000588,54 +0.000392,54 +0.000389,54 +0.000389,54 +0.000403,54 +0.000378,54 +0.000378,54 +0.000378,54 +0.000379,54 +0.000378,54 +0.000378,54 +0.000434,54 +0.000369,54 +0.000369,54 +0.000369,54 +0.000406,54 +0.000368,54 +0.000369,54 +0.000369,54 +0.000454,54 +0.000443,54 +0.000395,54 +0.000369,54 +0.000412,56 +0.000410,56 +0.000452,56 +0.000410,56 +0.000411,56 +0.000410,56 +0.000411,56 +0.000411,56 +0.000410,56 +0.000411,56 +0.000451,56 +0.000455,56 +0.000490,56 +0.000466,56 +0.000411,56 +0.000410,56 +0.000411,56 +0.000411,56 +0.000410,56 +0.000410,56 +0.000411,56 +0.000447,56 +0.000410,56 +0.000410,56 +0.000411,56 +0.000411,56 +0.000411,56 +0.000430,56 +0.000486,56 +0.000467,56 +0.000448,56 +0.000411,56 +0.000410,56 +0.000498,56 +0.000450,56 +0.000491,56 +0.000471,56 +0.000411,56 +0.000410,56 +0.000443,56 +0.000410,56 +0.000410,56 +0.000411,56 +0.000411,56 +0.000410,56 +0.000410,56 +0.000411,56 +0.000410,56 +0.000412,56 +0.000528,56 +0.000454,56 +0.000411,56 +0.000451,56 +0.000411,56 +0.000410,56 +0.000410,56 +0.000517,56 +0.000489,56 +0.000410,56 +0.000410,56 +0.000498,56 +0.000450,56 +0.000410,56 +0.000410,56 +0.000411,56 +0.000431,56 +0.000437,56 +0.000479,56 +0.000411,56 +0.000411,56 +0.000430,56 +0.000442,56 +0.000662,56 +0.000483,56 +0.000445,56 +0.000454,56 +0.000410,56 +0.000410,56 +0.000410,56 +0.000410,56 +0.000597,56 +0.000603,56 +0.000460,56 +0.000458,56 +0.000709,56 +0.000501,56 +0.000462,56 +0.000453,56 +0.000433,56 +0.000421,56 +0.000421,56 +0.000421,56 +0.000449,56 +0.000411,56 +0.000411,56 +0.000679,56 +0.000441,56 +0.000421,56 +0.000421,56 +0.000421,56 +0.000469,58 +0.000832,58 +0.000624,58 +0.000507,58 +0.000506,58 +0.000455,58 +0.000455,58 +0.000538,58 +0.000739,58 +0.000536,58 +0.000467,58 +0.000467,58 +0.000468,58 +0.000487,58 +0.000554,58 +0.000495,58 +0.000467,58 +0.000467,58 +0.000559,58 +0.000508,58 +0.000480,58 +0.000480,58 +0.000582,58 +0.000483,58 +0.000480,58 +0.000480,58 +0.000480,58 +0.000480,58 +0.000506,58 +0.000477,58 +0.000467,58 +0.000467,58 +0.000499,58 +0.000455,58 +0.000697,58 +0.000636,58 +0.000502,58 +0.000472,58 +0.000514,58 +0.000506,58 +0.000566,58 +0.000465,58 +0.000455,58 +0.000515,58 +0.000707,58 +0.000478,58 +0.000487,58 +0.000519,58 +0.000490,58 +0.000467,58 +0.000467,58 +0.000522,58 +0.000483,58 +0.000467,58 +0.000488,58 +0.000477,58 +0.000467,58 +0.000467,58 +0.000467,58 +0.000478,58 +0.000642,58 +0.000498,58 +0.000483,58 +0.000472,58 +0.000467,58 +0.000467,58 +0.000467,58 +0.000502,58 +0.000533,58 +0.000473,58 +0.000467,58 +0.000480,58 +0.000455,58 +0.000498,58 +0.000544,58 +0.000455,58 +0.000632,58 +0.000488,58 +0.000500,58 +0.000507,58 +0.000468,58 +0.000486,58 +0.000499,58 +0.000455,58 +0.000480,58 +0.000493,58 +0.000467,58 +0.000530,58 +0.000557,58 +0.000495,58 +0.000518,58 +0.000539,58 +0.000572,58 +0.000487,58 +0.000467,58 +0.000495,58 +0.000467,58 +0.000498,58 +0.000613,58 +0.000513,58 +0.000605,60 +0.000517,60 +0.000526,60 +0.000540,60 +0.000503,60 +0.000504,60 +0.000648,60 +0.000701,60 +0.000610,60 +0.000554,60 +0.000532,60 +0.000517,60 +0.000645,60 +0.000517,60 +0.000516,60 +0.000517,60 +0.000531,60 +0.000638,60 +0.000557,60 +0.000517,60 +0.000517,60 +0.000517,60 +0.000517,60 +0.000517,60 +0.000563,60 +0.000653,60 +0.000517,60 +0.000517,60 +0.000565,60 +0.000560,60 +0.000555,60 +0.000548,60 +0.000517,60 +0.000525,60 +0.000650,60 +0.000613,60 +0.000596,60 +0.000517,60 +0.000547,60 +0.000614,60 +0.000526,60 +0.000517,60 +0.000556,60 +0.000551,60 +0.000517,60 +0.000517,60 +0.000670,60 +0.000537,60 +0.000517,60 +0.000531,60 +0.000517,60 +0.000517,60 +0.000613,60 +0.000547,60 +0.000517,60 +0.000585,60 +0.000543,60 +0.000517,60 +0.000517,60 +0.000552,60 +0.000550,60 +0.000553,60 +0.000528,60 +0.000559,60 +0.000517,60 +0.000517,60 +0.000684,60 +0.000583,60 +0.000526,60 +0.000517,60 +0.000604,60 +0.000517,60 +0.000517,60 +0.000517,60 +0.000517,60 +0.000588,60 +0.000538,60 +0.000610,60 +0.000534,60 +0.000622,60 +0.000517,60 +0.000517,60 +0.000596,60 +0.000558,60 +0.000544,60 +0.000564,60 +0.000545,60 +0.000537,60 +0.000517,60 +0.000542,60 +0.000586,60 +0.000582,60 +0.000579,60 +0.000522,60 +0.000517,60 +0.000554,60 +0.000558,60 +0.000604,60 +0.000526,60 +0.000563,60 +0.000599,62 +0.000611,62 +0.000569,62 +0.000601,62 +0.000648,62 +0.000579,62 +0.000605,62 +0.000607,62 +0.000613,62 +0.000570,62 +0.000654,62 +0.000610,62 +0.000637,62 +0.000569,62 +0.000569,62 +0.000596,62 +0.000611,62 +0.000664,62 +0.000569,62 +0.000598,62 +0.000570,62 +0.000575,62 +0.000639,62 +0.000654,62 +0.000661,62 +0.000570,62 +0.000569,62 +0.000671,62 +0.000625,62 +0.000630,62 +0.000595,62 +0.000580,62 +0.000695,62 +0.000584,62 +0.000569,62 +0.000719,62 +0.000616,62 +0.000569,62 +0.000644,62 +0.000610,62 +0.000615,62 +0.000605,62 +0.000626,62 +0.000580,62 +0.000580,62 +0.000659,62 +0.000601,62 +0.000570,62 +0.000675,62 +0.000597,62 +0.000570,62 +0.000735,62 +0.000596,62 +0.000570,62 +0.000569,62 +0.000609,62 +0.000749,62 +0.000793,62 +0.000687,62 +0.000570,62 +0.000785,62 +0.000754,62 +0.000608,62 +0.000626,62 +0.000628,62 +0.000734,62 +0.000564,62 +0.000593,62 +0.000564,62 +0.000598,62 +0.000848,62 +0.000569,62 +0.000602,62 +0.000569,62 +0.000781,62 +0.000628,62 +0.000621,62 +0.000570,62 +0.000569,62 +0.000689,62 +0.000595,62 +0.000598,62 +0.000650,62 +0.000576,62 +0.000569,62 +0.000627,62 +0.000617,62 +0.000649,62 +0.000590,62 +0.000579,62 +0.000569,62 +0.000569,62 +0.000569,62 +0.000587,62 +0.000582,62 +0.000569,62 +0.000570,62 +0.000570,62 +0.000555,62 +0.000779,62 +0.000785,64 +0.000667,64 +0.000626,64 +0.000672,64 +0.000706,64 +0.000632,64 +0.000670,64 +0.000610,64 +0.000609,64 +0.000704,64 +0.000675,64 +0.000625,64 +0.000799,64 +0.000684,64 +0.000636,64 +0.000636,64 +0.000610,64 +0.000610,64 +0.000652,64 +0.000610,64 +0.000609,64 +0.000621,64 +0.000832,64 +0.000626,64 +0.000740,64 +0.000707,64 +0.000636,64 +0.000626,64 +0.000626,64 +0.000677,64 +0.000675,64 +0.000680,64 +0.000849,64 +0.000617,64 +0.000616,64 +0.000617,64 +0.000655,64 +0.000617,64 +0.000894,64 +0.000675,64 +0.000660,64 +0.000877,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000630,64 +0.000630,64 +0.000610,64 +0.000822,64 +0.000718,64 +0.000626,64 +0.000816,64 +0.000610,64 +0.000732,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000803,64 +0.000667,64 +0.000646,64 +0.000626,64 +0.000640,64 +0.000626,64 +0.000650,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000646,64 +0.000610,64 +0.000610,64 +0.000755,64 +0.000610,64 +0.000610,64 +0.000630,64 +0.000767,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000653,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000650,64 +0.000610,64 +0.000658,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000610,64 +0.000643,64 +0.000610,64 +0.000701,66 +0.000736,66 +0.000701,66 +0.000695,66 +0.000757,66 +0.000892,66 +0.000695,66 +0.000695,66 +0.000695,66 +0.000794,66 +0.000719,66 +0.000730,66 +0.000720,66 +0.000768,66 +0.000752,66 +0.000803,66 +0.000695,66 +0.000803,66 +0.000817,66 +0.000695,66 +0.000730,66 +0.000695,66 +0.000695,66 +0.000695,66 +0.000695,66 +0.000730,66 +0.000695,66 +0.000695,66 +0.000714,66 +0.000695,66 +0.000695,66 +0.000733,66 +0.000735,66 +0.000877,66 +0.000695,66 +0.000695,66 +0.000788,66 +0.000696,66 +0.000707,66 +0.000695,66 +0.000695,66 +0.000695,66 +0.000736,66 +0.000695,66 +0.000695,66 +0.000695,66 +0.000696,66 +0.000695,66 +0.000730,66 +0.000830,66 +0.001033,66 +0.000793,66 +0.000776,66 +0.000695,66 +0.000695,66 +0.000695,66 +0.000695,66 +0.000695,66 +0.000734,66 +0.000734,66 +0.000695,66 +0.000705,66 +0.000695,66 +0.000695,66 +0.000723,66 +0.000735,66 +0.000887,66 +0.000839,66 +0.001128,66 +0.000973,66 +0.000763,66 +0.000749,66 +0.000970,66 +0.000838,66 +0.000749,66 +0.000845,66 +0.000848,66 +0.000736,66 +0.001027,66 +0.001168,66 +0.001270,66 +0.000751,66 +0.000812,66 +0.000766,66 +0.000714,66 +0.000796,66 +0.000723,66 +0.000749,66 +0.000777,66 +0.000744,66 +0.000703,66 +0.000795,66 +0.000938,66 +0.000951,66 +0.001383,66 +0.000888,66 +0.000774,66 +0.000845,66 +0.001012,66 +0.000972,66 +0.000907,68 +0.001312,68 +0.001344,68 +0.001450,68 +0.001564,68 +0.001454,68 +0.001484,68 +0.001321,68 +0.001172,68 +0.000795,68 +0.000780,68 +0.000896,68 +0.000932,68 +0.000758,68 +0.000793,68 +0.000760,68 +0.000781,68 +0.000796,68 +0.000750,68 +0.000798,68 +0.000770,68 +0.000750,68 +0.000815,68 +0.000750,68 +0.000768,68 +0.000752,68 +0.000890,68 +0.000791,68 +0.000766,68 +0.000730,68 +0.000794,68 +0.000783,68 +0.000771,68 +0.000731,68 +0.000795,68 +0.000825,68 +0.000740,68 +0.000731,68 +0.000730,68 +0.000730,68 +0.000773,68 +0.000730,68 +0.000749,68 +0.000730,68 +0.000829,68 +0.000801,68 +0.000730,68 +0.000872,68 +0.000770,68 +0.000843,68 +0.000796,68 +0.000978,68 +0.000765,68 +0.000857,68 +0.000780,68 +0.000829,68 +0.000744,68 +0.000778,68 +0.000767,68 +0.000777,68 +0.000798,68 +0.000741,68 +0.000730,68 +0.000799,68 +0.000816,68 +0.000816,68 +0.000731,68 +0.000730,68 +0.000800,68 +0.000808,68 +0.000837,68 +0.000731,68 +0.000770,68 +0.000770,68 +0.000832,68 +0.000751,68 +0.000831,68 +0.000730,68 +0.000792,68 +0.000730,68 +0.000751,68 +0.000774,68 +0.000730,68 +0.000730,68 +0.000730,68 +0.000730,68 +0.000830,68 +0.000773,68 +0.000881,68 +0.000797,68 +0.000875,68 +0.000819,68 +0.000830,68 +0.000844,68 +0.000806,68 +0.000879,68 +0.000793,68 +0.000781,68 +0.000763,68 +0.000952,68 +0.000825,70 +0.000867,70 +0.000921,70 +0.000877,70 +0.000817,70 +0.000908,70 +0.000816,70 +0.000816,70 +0.000816,70 +0.000817,70 +0.000928,70 +0.000842,70 +0.000823,70 +0.000836,70 +0.000795,70 +0.000836,70 +0.000795,70 +0.000834,70 +0.000795,70 +0.000835,70 +0.000830,70 +0.000795,70 +0.000795,70 +0.000795,70 +0.000795,70 +0.000841,70 +0.000815,70 +0.000795,70 +0.000795,70 +0.000889,70 +0.000954,70 +0.000795,70 +0.000795,70 +0.000820,70 +0.000839,70 +0.000795,70 +0.000795,70 +0.000835,70 +0.000795,70 +0.000842,70 +0.000795,70 +0.000795,70 +0.000795,70 +0.000795,70 +0.000818,70 +0.000795,70 +0.000795,70 +0.000796,70 +0.000795,70 +0.000822,70 +0.000835,70 +0.000795,70 +0.000795,70 +0.000795,70 +0.000840,70 +0.000795,70 +0.000795,70 +0.000795,70 +0.000835,70 +0.000804,70 +0.000835,70 +0.000795,70 +0.000795,70 +0.000795,70 +0.000797,70 +0.000795,70 +0.000795,70 +0.000795,70 +0.000795,70 +0.000797,70 +0.000795,70 +0.000835,70 +0.000795,70 +0.000795,70 +0.000842,70 +0.000795,70 +0.000795,70 +0.000795,70 +0.000795,70 +0.000819,70 +0.000835,70 +0.000795,70 +0.000795,70 +0.000795,70 +0.000801,70 +0.000795,70 +0.000819,70 +0.000814,70 +0.000795,70 +0.000797,70 +0.000984,70 +0.000963,70 +0.000832,70 +0.000852,70 +0.000813,70 +0.000854,70 +0.000875,70 +0.000834,70 +0.001028,70 +0.000839,70 +0.000928,72 +0.000914,72 +0.000922,72 +0.000943,72 +0.001004,72 +0.000911,72 +0.000916,72 +0.000949,72 +0.000974,72 +0.001009,72 +0.001021,72 +0.000943,72 +0.000939,72 +0.001050,72 +0.001369,72 +0.000906,72 +0.000931,72 +0.000939,72 +0.001310,72 +0.001418,72 +0.001016,72 +0.000865,72 +0.000924,72 +0.000993,72 +0.000865,72 +0.001087,72 +0.001341,72 +0.000912,72 +0.000969,72 +0.000912,72 +0.000910,72 +0.000887,72 +0.001002,72 +0.000927,72 +0.000911,72 +0.000972,72 +0.001009,72 +0.000945,72 +0.000917,72 +0.000887,72 +0.000948,72 +0.001074,72 +0.000913,72 +0.001173,72 +0.000888,72 +0.001074,72 +0.000951,72 +0.001027,72 +0.000887,72 +0.000908,72 +0.000988,72 +0.000917,72 +0.000887,72 +0.000888,72 +0.000888,72 +0.000912,72 +0.001002,72 +0.000969,72 +0.000928,72 +0.000915,72 +0.001005,72 +0.001022,72 +0.000888,72 +0.000914,72 +0.001134,72 +0.000888,72 +0.000888,72 +0.000908,72 +0.000944,72 +0.001175,72 +0.000911,72 +0.000897,72 +0.000915,72 +0.000887,72 +0.000887,72 +0.000951,72 +0.000912,72 +0.000887,72 +0.000907,72 +0.000887,72 +0.001062,72 +0.000899,72 +0.000865,72 +0.000865,72 +0.000865,72 +0.000925,72 +0.000875,72 +0.000894,72 +0.000865,72 +0.000900,72 +0.000865,72 +0.001257,72 +0.000972,72 +0.000991,72 +0.001001,72 +0.000906,72 +0.000978,72 +0.000865,72 +0.000907,72 +0.000898,72 +0.000985,74 +0.001021,74 +0.000988,74 +0.001000,74 +0.001000,74 +0.001176,74 +0.000992,74 +0.000938,74 +0.000938,74 +0.000938,74 +0.001051,74 +0.000978,74 +0.001045,74 +0.000988,74 +0.001011,74 +0.001138,74 +0.001130,74 +0.001041,74 +0.000939,74 +0.001171,74 +0.001081,74 +0.001145,74 +0.001003,74 +0.000959,74 +0.000938,74 +0.000974,74 +0.001038,74 +0.001237,74 +0.001027,74 +0.001068,74 +0.000938,74 +0.000938,74 +0.000938,74 +0.000975,74 +0.000938,74 +0.000978,74 +0.000965,74 +0.001030,74 +0.000938,74 +0.000938,74 +0.001065,74 +0.001153,74 +0.000963,74 +0.000998,74 +0.000958,74 +0.001040,74 +0.000952,74 +0.000938,74 +0.000999,74 +0.001004,74 +0.000938,74 +0.000938,74 +0.000977,74 +0.001011,74 +0.000938,74 +0.000978,74 +0.001126,74 +0.001096,74 +0.001035,74 +0.000964,74 +0.000978,74 +0.000970,74 +0.001084,74 +0.000958,74 +0.000958,74 +0.001020,74 +0.000938,74 +0.000938,74 +0.000939,74 +0.001004,74 +0.000978,74 +0.000938,74 +0.000938,74 +0.000938,74 +0.000961,74 +0.000938,74 +0.000938,74 +0.000958,74 +0.000963,74 +0.000938,74 +0.001061,74 +0.000938,74 +0.000966,74 +0.000938,74 +0.000938,74 +0.000938,74 +0.000988,74 +0.000938,74 +0.000978,74 +0.000938,74 +0.000961,74 +0.000938,74 +0.000938,74 +0.000938,74 +0.000943,74 +0.000938,74 +0.000938,74 +0.000959,74 +0.000938,74 +0.000963,74 +0.001054,76 +0.001051,76 +0.001090,76 +0.001150,76 +0.001072,76 +0.001172,76 +0.001086,76 +0.001111,76 +0.001071,76 +0.001152,76 +0.001089,76 +0.001051,76 +0.001051,76 +0.001086,76 +0.001061,76 +0.001051,76 +0.001051,76 +0.001075,76 +0.001051,76 +0.001091,76 +0.001112,76 +0.001086,76 +0.001051,76 +0.001071,76 +0.001051,76 +0.001055,76 +0.001051,76 +0.001051,76 +0.001055,76 +0.001051,76 +0.001051,76 +0.001051,76 +0.001053,76 +0.001051,76 +0.001091,76 +0.001051,76 +0.001094,76 +0.001051,76 +0.001051,76 +0.001090,76 +0.001055,76 +0.001052,76 +0.001051,76 +0.001051,76 +0.001118,76 +0.001051,76 +0.001051,76 +0.001183,76 +0.001303,76 +0.001051,76 +0.001112,76 +0.001124,76 +0.001051,76 +0.001051,76 +0.001075,76 +0.001051,76 +0.001553,76 +0.001176,76 +0.001095,76 +0.001416,76 +0.001071,76 +0.001087,76 +0.001051,76 +0.001051,76 +0.001091,76 +0.001083,76 +0.001102,76 +0.001051,76 +0.001092,76 +0.001051,76 +0.001051,76 +0.001071,76 +0.001075,76 +0.001051,76 +0.001216,76 +0.001051,76 +0.001080,76 +0.001051,76 +0.001051,76 +0.001051,76 +0.001114,76 +0.001090,76 +0.001051,76 +0.001053,76 +0.001051,76 +0.001051,76 +0.001051,76 +0.001055,76 +0.001052,76 +0.001094,76 +0.001051,76 +0.001053,76 +0.001051,76 +0.001051,76 +0.001051,76 +0.001115,76 +0.001051,76 +0.001091,76 +0.001053,76 +0.001051,76 +0.001100,78 +0.001097,78 +0.001101,78 +0.001097,78 +0.001097,78 +0.001097,78 +0.001099,78 +0.001097,78 +0.001097,78 +0.001122,78 +0.001097,78 +0.001136,78 +0.001156,78 +0.001120,78 +0.001097,78 +0.001097,78 +0.001125,78 +0.001097,78 +0.001097,78 +0.001097,78 +0.001099,78 +0.001097,78 +0.001097,78 +0.001097,78 +0.001101,78 +0.001097,78 +0.001136,78 +0.001138,78 +0.001097,78 +0.001097,78 +0.001097,78 +0.001101,78 +0.001097,78 +0.001097,78 +0.001097,78 +0.001119,78 +0.001147,78 +0.001097,78 +0.001167,78 +0.001097,78 +0.001097,78 +0.001136,78 +0.001140,78 +0.001097,78 +0.001097,78 +0.001099,78 +0.001097,78 +0.001097,78 +0.001141,78 +0.001167,78 +0.001148,78 +0.001130,78 +0.001170,78 +0.001122,78 +0.001332,78 +0.001157,78 +0.001139,78 +0.001136,78 +0.001097,78 +0.001121,78 +0.001196,78 +0.001097,78 +0.001096,78 +0.001127,78 +0.001097,78 +0.001097,78 +0.001119,78 +0.001097,78 +0.001097,78 +0.001097,78 +0.001160,78 +0.001117,78 +0.001116,78 +0.001097,78 +0.001125,78 +0.001097,78 +0.001097,78 +0.001119,78 +0.001097,78 +0.001097,78 +0.001096,78 +0.001122,78 +0.001097,78 +0.001097,78 +0.001121,78 +0.001136,78 +0.001097,78 +0.001136,78 +0.001128,78 +0.001097,78 +0.001171,78 +0.001097,78 +0.001103,78 +0.001097,78 +0.001117,78 +0.001106,78 +0.001097,78 +0.001097,78 +0.001097,78 +0.001100,78 +0.001264,80 +0.001262,80 +0.001225,80 +0.001223,80 +0.001223,80 +0.001227,80 +0.001223,80 +0.001223,80 +0.001223,80 +0.001225,80 +0.001223,80 +0.001223,80 +0.001227,80 +0.001223,80 +0.001262,80 +0.001283,80 +0.001223,80 +0.001223,80 +0.001227,80 +0.001223,80 +0.001223,80 +0.001223,80 +0.001225,80 +0.001282,80 +0.001223,80 +0.001227,80 +0.001223,80 +0.001712,80 +0.001329,80 +0.001264,80 +0.001255,80 +0.001251,80 +0.001223,80 +0.001599,80 +0.001299,80 +0.001271,80 +0.001335,80 +0.001309,80 +0.001575,80 +0.001408,80 +0.001299,80 +0.001467,80 +0.001480,80 +0.001317,80 +0.001264,80 +0.001394,80 +0.001587,80 +0.001334,80 +0.001425,80 +0.001378,80 +0.001411,80 +0.001429,80 +0.001355,80 +0.001371,80 +0.001385,80 +0.001368,80 +0.001379,80 +0.001418,80 +0.001370,80 +0.001374,80 +0.001350,80 +0.001364,80 +0.001342,80 +0.001407,80 +0.001450,80 +0.001360,80 +0.001466,80 +0.001275,80 +0.001433,80 +0.001438,80 +0.001355,80 +0.001501,80 +0.001334,80 +0.001378,80 +0.001397,80 +0.001461,80 +0.001453,80 +0.001389,80 +0.001323,80 +0.001326,80 +0.001358,80 +0.001449,80 +0.001381,80 +0.001467,80 +0.001347,80 +0.001351,80 +0.001440,80 +0.001414,80 +0.001330,80 +0.001410,80 +0.001383,80 +0.001459,80 +0.001375,80 +0.001542,80 +0.001452,80 +0.001452,80 +0.001384,80 +0.001366,80 +0.001429,80 +0.001353,80 +0.001473,82 +0.001418,82 +0.001347,82 +0.001387,82 +0.001345,82 +0.001437,82 +0.001763,82 +0.001388,82 +0.001389,82 +0.001345,82 +0.001426,82 +0.001455,82 +0.001466,82 +0.001407,82 +0.001468,82 +0.001408,82 +0.001475,82 +0.001458,82 +0.001405,82 +0.001397,82 +0.001423,82 +0.001519,82 +0.001587,82 +0.001440,82 +0.001367,82 +0.001421,82 +0.001491,82 +0.001387,82 +0.002170,82 +0.001483,82 +0.001421,82 +0.001546,82 +0.001426,82 +0.001630,82 +0.001557,82 +0.001396,82 +0.001408,82 +0.001490,82 +0.001365,82 +0.001479,82 +0.001402,82 +0.001574,82 +0.001383,82 +0.001400,82 +0.001366,82 +0.001451,82 +0.001437,82 +0.001522,82 +0.001670,82 +0.001963,82 +0.002133,82 +0.001533,82 +0.001973,82 +0.001660,82 +0.001853,82 +0.001586,82 +0.001375,82 +0.001368,82 +0.001519,82 +0.001350,82 +0.001552,82 +0.001479,82 +0.001522,82 +0.001393,82 +0.001417,82 +0.001377,82 +0.001486,82 +0.001379,82 +0.001348,82 +0.001396,82 +0.001349,82 +0.001388,82 +0.001407,82 +0.001410,82 +0.001679,82 +0.001334,82 +0.001647,82 +0.001530,82 +0.001803,82 +0.001343,82 +0.001370,82 +0.001336,82 +0.001697,82 +0.001429,82 +0.001737,82 +0.001503,82 +0.001345,82 +0.001364,82 +0.001308,82 +0.001612,82 +0.001366,82 +0.001341,82 +0.001347,82 +0.001424,82 +0.001590,82 +0.001366,82 +0.001375,82 +0.001321,82 +0.001353,82 +0.001294,82 +0.001669,84 +0.001526,84 +0.001538,84 +0.001411,84 +0.001462,84 +0.001597,84 +0.001472,84 +0.001640,84 +0.001412,84 +0.001575,84 +0.001458,84 +0.001693,84 +0.001625,84 +0.001592,84 +0.001543,84 +0.001544,84 +0.001556,84 +0.001714,84 +0.001522,84 +0.001623,84 +0.001591,84 +0.001423,84 +0.001478,84 +0.001554,84 +0.001472,84 +0.001471,84 +0.001495,84 +0.001573,84 +0.001593,84 +0.001494,84 +0.001552,84 +0.001578,84 +0.001505,84 +0.001621,84 +0.001543,84 +0.001499,84 +0.001560,84 +0.001557,84 +0.001518,84 +0.001988,84 +0.001971,84 +0.001965,84 +0.001966,84 +0.001569,84 +0.001649,84 +0.001778,84 +0.001657,84 +0.001753,84 +0.001536,84 +0.001505,84 +0.001472,84 +0.001468,84 +0.001448,84 +0.001509,84 +0.001477,84 +0.001544,84 +0.001528,84 +0.001538,84 +0.001554,84 +0.001537,84 +0.001515,84 +0.001594,84 +0.001543,84 +0.001528,84 +0.001484,84 +0.001527,84 +0.001571,84 +0.001508,84 +0.001607,84 +0.001540,84 +0.001538,84 +0.001628,84 +0.001552,84 +0.001569,84 +0.001489,84 +0.001556,84 +0.001618,84 +0.001560,84 +0.001519,84 +0.001590,84 +0.001533,84 +0.001639,84 +0.001880,84 +0.001776,84 +0.001651,84 +0.001795,84 +0.001832,84 +0.001781,84 +0.001668,84 +0.001819,84 +0.001829,84 +0.001789,84 +0.001550,84 +0.001519,84 +0.001526,84 +0.001636,84 +0.001549,84 +0.001489,84 +0.001573,84 +0.001508,84 +0.001689,86 +0.001727,86 +0.001814,86 +0.001746,86 +0.001651,86 +0.001581,86 +0.002784,86 +0.002020,86 +0.001751,86 +0.001838,86 +0.001704,86 +0.001713,86 +0.002233,86 +0.001671,86 +0.001552,86 +0.001590,86 +0.001488,86 +0.001489,86 +0.001621,86 +0.001542,86 +0.001672,86 +0.002154,86 +0.001683,86 +0.001518,86 +0.001719,86 +0.001589,86 +0.001469,86 +0.001469,86 +0.001507,86 +0.001609,86 +0.001761,86 +0.001685,86 +0.001559,86 +0.001546,86 +0.001493,86 +0.001549,86 +0.001502,86 +0.001508,86 +0.001536,86 +0.001624,86 +0.001597,86 +0.001576,86 +0.001566,86 +0.001572,86 +0.001469,86 +0.001510,86 +0.001543,86 +0.001469,86 +0.001513,86 +0.001469,86 +0.001572,86 +0.001678,86 +0.001723,86 +0.001591,86 +0.001565,86 +0.001511,86 +0.001586,86 +0.001469,86 +0.001469,86 +0.001552,86 +0.001868,86 +0.002483,86 +0.002891,86 +0.002797,86 +0.002861,86 +0.002462,86 +0.001964,86 +0.001836,86 +0.001599,86 +0.001622,86 +0.001578,86 +0.001706,86 +0.001705,86 +0.001788,86 +0.001986,86 +0.001600,86 +0.001528,86 +0.001697,86 +0.001970,86 +0.002888,86 +0.002401,86 +0.001572,86 +0.001520,86 +0.001580,86 +0.001508,86 +0.001532,86 +0.001548,86 +0.001624,86 +0.001765,86 +0.001488,86 +0.001627,86 +0.001469,86 +0.001530,86 +0.001525,86 +0.001469,86 +0.001469,86 +0.001512,86 +0.001666,86 +0.001702,86 +0.001659,86 +0.001687,88 +0.001593,88 +0.001635,88 +0.001608,88 +0.001574,88 +0.001612,88 +0.001613,88 +0.001802,88 +0.001868,88 +0.001818,88 +0.001712,88 +0.001593,88 +0.001653,88 +0.001897,88 +0.001593,88 +0.001613,88 +0.001574,88 +0.001771,88 +0.001871,88 +0.001981,88 +0.001962,88 +0.001625,88 +0.001635,88 +0.002564,88 +0.002989,88 +0.002923,88 +0.002775,88 +0.001774,88 +0.001841,88 +0.001674,88 +0.001592,88 +0.001612,88 +0.001573,88 +0.001729,88 +0.001627,88 +0.001949,88 +0.001631,88 +0.001706,88 +0.001599,88 +0.001656,88 +0.001611,88 +0.001573,88 +0.001574,88 +0.001757,88 +0.001927,88 +0.001673,88 +0.001680,88 +0.001703,88 +0.001627,88 +0.001689,88 +0.001610,88 +0.001880,88 +0.001652,88 +0.001959,88 +0.001833,88 +0.001758,88 +0.001791,88 +0.001764,88 +0.001767,88 +0.001668,88 +0.001744,88 +0.001651,88 +0.001574,88 +0.002012,88 +0.001927,88 +0.001750,88 +0.001866,88 +0.001627,88 +0.001799,88 +0.001638,88 +0.001658,88 +0.001789,88 +0.001902,88 +0.001845,88 +0.001852,88 +0.001896,88 +0.001632,88 +0.001619,88 +0.001929,88 +0.002279,88 +0.001912,88 +0.001828,88 +0.001703,88 +0.001683,88 +0.001792,88 +0.001699,88 +0.001671,88 +0.001785,88 +0.001695,88 +0.001674,88 +0.001746,88 +0.001835,88 +0.001816,88 +0.002181,88 +0.002106,88 +0.001822,88 +0.002063,88 +0.001751,88 +0.002060,88 +0.001953,88 +0.002506,90 +0.002729,90 +0.002557,90 +0.002289,90 +0.002198,90 +0.002215,90 +0.002222,90 +0.002952,90 +0.002940,90 +0.002199,90 +0.002351,90 +0.002141,90 +0.001943,90 +0.002165,90 +0.002890,90 +0.002427,90 +0.002257,90 +0.002644,90 +0.002190,90 +0.002735,90 +0.002083,90 +0.002364,90 +0.002731,90 +0.003146,90 +0.002302,90 +0.002487,90 +0.002181,90 +0.002008,90 +0.002087,90 +0.001829,90 +0.001937,90 +0.002182,90 +0.002111,90 +0.002008,90 +0.001927,90 +0.001947,90 +0.002299,90 +0.002398,90 +0.001884,90 +0.001889,90 +0.002031,90 +0.001808,90 +0.001882,90 +0.001899,90 +0.002200,90 +0.002058,90 +0.001909,90 +0.001916,90 +0.001905,90 +0.001876,90 +0.001885,90 +0.001819,90 +0.002004,90 +0.002309,90 +0.002066,90 +0.001904,90 +0.001882,90 +0.001827,90 +0.001815,90 +0.001880,90 +0.001880,90 +0.002356,90 +0.002548,90 +0.001877,90 +0.001901,90 +0.001806,90 +0.001802,90 +0.001874,90 +0.001893,90 +0.002230,90 +0.002034,90 +0.002065,90 +0.001932,90 +0.001997,90 +0.001898,90 +0.002424,90 +0.003206,90 +0.003277,90 +0.003128,90 +0.002408,90 +0.002066,90 +0.002048,90 +0.002269,90 +0.002389,90 +0.002295,90 +0.002206,90 +0.002143,90 +0.002052,90 +0.002010,90 +0.001989,90 +0.002045,90 +0.002232,90 +0.002216,90 +0.002354,90 +0.002202,90 +0.002418,90 +0.002099,90 +0.002110,90 +0.002142,90 +0.002166,90 +0.002204,92 +0.002298,92 +0.002207,92 +0.002173,92 +0.002178,92 +0.002327,92 +0.002337,92 +0.002156,92 +0.002237,92 +0.002421,92 +0.002156,92 +0.002213,92 +0.002182,92 +0.002491,92 +0.002323,92 +0.002225,92 +0.002425,92 +0.002284,92 +0.002338,92 +0.003061,92 +0.003377,92 +0.003534,92 +0.003016,92 +0.002268,92 +0.002223,92 +0.002220,92 +0.002490,92 +0.002097,92 +0.002016,92 +0.002111,92 +0.002131,92 +0.002017,92 +0.001990,92 +0.002122,92 +0.001988,92 +0.001986,92 +0.002012,92 +0.002017,92 +0.001991,92 +0.002005,92 +0.001974,92 +0.002031,92 +0.002031,92 +0.002045,92 +0.002075,92 +0.002085,92 +0.002380,92 +0.002281,92 +0.002188,92 +0.002187,92 +0.002204,92 +0.002148,92 +0.002144,92 +0.002126,92 +0.002146,92 +0.002135,92 +0.002182,92 +0.002274,92 +0.002168,92 +0.002217,92 +0.002235,92 +0.002338,92 +0.002226,92 +0.002195,92 +0.003377,92 +0.003636,92 +0.003556,92 +0.002944,92 +0.002353,92 +0.002290,92 +0.002484,92 +0.002277,92 +0.002147,92 +0.002483,92 +0.002218,92 +0.002122,92 +0.002113,92 +0.002255,92 +0.002275,92 +0.002155,92 +0.002152,92 +0.002163,92 +0.002218,92 +0.002204,92 +0.002177,92 +0.002174,92 +0.002196,92 +0.002190,92 +0.002202,92 +0.002230,92 +0.002163,92 +0.002154,92 +0.002150,92 +0.002293,92 +0.002182,92 +0.002219,92 +0.002143,92 +0.002209,92 +0.002253,92 +0.002173,92 +0.002319,94 +0.002370,94 +0.002364,94 +0.002271,94 +0.002365,94 +0.002355,94 +0.002271,94 +0.003291,94 +0.003712,94 +0.003714,94 +0.003034,94 +0.002388,94 +0.002673,94 +0.002384,94 +0.002423,94 +0.002168,94 +0.002159,94 +0.002336,94 +0.002190,94 +0.002172,94 +0.002268,94 +0.002195,94 +0.002355,94 +0.002301,94 +0.002343,94 +0.002207,94 +0.002375,94 +0.002346,94 +0.002500,94 +0.002342,94 +0.002345,94 +0.002385,94 +0.002242,94 +0.002254,94 +0.002465,94 +0.002337,94 +0.002118,94 +0.002088,94 +0.002141,94 +0.002053,94 +0.002127,94 +0.002154,94 +0.002742,94 +0.002204,94 +0.002145,94 +0.002119,94 +0.002109,94 +0.002133,94 +0.002150,94 +0.002110,94 +0.002025,94 +0.002053,94 +0.002768,94 +0.002178,94 +0.002147,94 +0.002126,94 +0.002086,94 +0.002378,94 +0.002387,94 +0.002090,94 +0.002102,94 +0.002120,94 +0.002158,94 +0.002133,94 +0.002197,94 +0.002690,94 +0.002092,94 +0.002132,94 +0.002095,94 +0.002105,94 +0.002079,94 +0.002148,94 +0.002127,94 +0.002543,94 +0.002073,94 +0.002065,94 +0.002016,94 +0.002084,94 +0.002091,94 +0.001971,94 +0.002219,94 +0.002043,94 +0.002093,94 +0.002011,94 +0.002007,94 +0.001957,94 +0.001953,94 +0.001918,94 +0.002061,94 +0.002174,94 +0.001999,94 +0.001918,94 +0.002002,94 +0.001957,94 +0.001952,94 +0.001918,94 +0.001996,94 +0.002121,94 +0.002045,94 +0.001991,94 +0.002271,96 +0.002186,96 +0.002124,96 +0.002056,96 +0.002083,96 +0.002061,96 +0.002075,96 +0.002041,96 +0.002082,96 +0.002100,96 +0.002065,96 +0.002071,96 +0.002041,96 +0.002045,96 +0.002042,96 +0.002046,96 +0.002042,96 +0.002122,96 +0.002041,96 +0.002087,96 +0.002101,96 +0.002043,96 +0.002041,96 +0.002043,96 +0.002041,96 +0.002128,96 +0.002041,96 +0.002063,96 +0.002041,96 +0.002045,96 +0.002372,96 +0.002088,96 +0.002136,96 +0.002389,96 +0.002162,96 +0.002095,96 +0.002505,96 +0.002663,96 +0.002072,96 +0.002533,96 +0.002530,96 +0.002976,96 +0.003597,96 +0.002478,96 +0.002308,96 +0.002326,96 +0.002289,96 +0.002277,96 +0.002227,96 +0.002305,96 +0.002198,96 +0.002152,96 +0.002522,96 +0.002326,96 +0.002328,96 +0.002126,96 +0.002330,96 +0.002453,96 +0.002437,96 +0.002298,96 +0.002287,96 +0.002595,96 +0.002550,96 +0.002598,96 +0.002488,96 +0.002446,96 +0.002734,96 +0.002717,96 +0.002524,96 +0.002335,96 +0.002321,96 +0.002189,96 +0.002176,96 +0.002150,96 +0.002250,96 +0.002277,96 +0.002221,96 +0.002236,96 +0.002231,96 +0.002248,96 +0.002288,96 +0.002260,96 +0.002340,96 +0.002302,96 +0.002257,96 +0.002349,96 +0.002321,96 +0.002243,96 +0.002259,96 +0.002285,96 +0.002158,96 +0.002152,96 +0.002160,96 +0.002265,96 +0.002317,96 +0.002278,96 +0.002304,96 +0.002213,96 +0.002157,96 +0.002183,96 +0.002445,98 +0.002454,98 +0.002461,98 +0.002463,98 +0.002556,98 +0.002383,98 +0.002484,98 +0.002539,98 +0.002351,98 +0.002377,98 +0.002374,98 +0.002373,98 +0.002304,98 +0.002409,98 +0.002439,98 +0.002416,98 +0.002296,98 +0.002313,98 +0.002352,98 +0.002399,98 +0.002295,98 +0.002355,98 +0.002379,98 +0.002352,98 +0.002363,98 +0.002364,98 +0.002298,98 +0.002357,98 +0.002371,98 +0.002279,98 +0.002246,98 +0.002735,98 +0.002591,98 +0.002416,98 +0.002642,98 +0.002502,98 +0.002411,98 +0.002420,98 +0.002512,98 +0.002377,98 +0.002522,98 +0.002426,98 +0.002718,98 +0.002724,98 +0.002641,98 +0.002545,98 +0.002366,98 +0.002431,98 +0.002570,98 +0.002433,98 +0.002428,98 +0.002452,98 +0.002455,98 +0.002421,98 +0.002828,98 +0.002920,98 +0.003138,98 +0.003385,98 +0.003285,98 +0.002902,98 +0.003023,98 +0.002947,98 +0.002916,98 +0.002957,98 +0.002793,98 +0.003201,98 +0.002843,98 +0.002986,98 +0.002336,98 +0.003146,98 +0.002695,98 +0.002431,98 +0.002494,98 +0.002348,98 +0.002304,98 +0.002355,98 +0.002373,98 +0.002362,98 +0.002358,98 +0.002454,98 +0.002325,98 +0.002288,98 +0.002278,98 +0.002257,98 +0.002223,98 +0.002179,98 +0.002391,98 +0.002197,98 +0.002214,98 +0.002179,98 +0.002314,98 +0.002227,98 +0.002189,98 +0.002274,98 +0.002424,98 +0.002317,98 +0.002325,98 +0.002287,98 +0.002440,98 +0.002235,98 +0.002631,100 +0.003587,100 +0.003203,100 +0.002856,100 +0.002599,100 +0.002795,100 +0.003222,100 +0.002630,100 +0.002563,100 +0.002547,100 +0.002723,100 +0.002813,100 +0.002615,100 +0.002694,100 +0.002470,100 +0.002390,100 +0.002378,100 +0.002357,100 +0.002366,100 +0.002859,100 +0.002374,100 +0.002423,100 +0.002399,100 +0.002359,100 +0.002351,100 +0.002440,100 +0.002509,100 +0.002368,100 +0.002309,100 +0.002358,100 +0.002390,100 +0.002361,100 +0.002445,100 +0.002447,100 +0.002343,100 +0.002413,100 +0.002403,100 +0.002494,100 +0.002308,100 +0.002389,100 +0.002390,100 +0.002425,100 +0.002337,100 +0.002404,100 +0.002424,100 +0.002375,100 +0.002355,100 +0.003358,100 +0.004333,100 +0.004395,100 +0.002452,100 +0.002391,100 +0.002436,100 +0.002365,100 +0.002428,100 +0.002455,100 +0.002320,100 +0.002347,100 +0.002438,100 +0.002372,100 +0.002368,100 +0.002329,100 +0.002793,100 +0.002615,100 +0.002933,100 +0.003123,100 +0.002914,100 +0.002838,100 +0.003154,100 +0.002967,100 +0.003166,100 +0.003947,100 +0.003279,100 +0.003344,100 +0.002560,100 +0.002644,100 +0.003361,100 +0.002568,100 +0.002543,100 +0.002499,100 +0.002502,100 +0.002419,100 +0.002838,100 +0.004438,100 +0.004333,100 +0.003139,100 +0.002395,100 +0.002680,100 +0.002382,100 +0.002357,100 +0.002347,100 +0.002398,100 +0.002343,100 +0.002342,100 +0.002576,100 +0.002307,100 +0.002332,100 +0.002468,100 +0.002346,100 +0.002337,100 +0.002496,102 +0.002542,102 +0.002490,102 +0.002453,102 +0.002558,102 +0.002461,102 +0.002476,102 +0.002542,102 +0.002453,102 +0.002459,102 +0.002561,102 +0.002531,102 +0.002735,102 +0.002487,102 +0.002580,102 +0.002558,102 +0.002536,102 +0.002528,102 +0.002747,102 +0.002652,102 +0.002880,102 +0.002657,102 +0.002634,102 +0.002690,102 +0.002908,102 +0.002496,102 +0.002894,102 +0.002579,102 +0.002784,102 +0.002583,102 +0.002614,102 +0.002550,102 +0.002555,102 +0.002724,102 +0.002518,102 +0.002594,102 +0.002585,102 +0.002763,102 +0.002479,102 +0.002635,102 +0.002453,102 +0.002732,102 +0.002579,102 +0.002501,102 +0.002537,102 +0.002552,102 +0.002534,102 +0.002491,102 +0.002521,102 +0.002630,102 +0.002478,102 +0.002453,102 +0.002599,102 +0.002474,102 +0.002485,102 +0.002490,102 +0.002544,102 +0.002462,102 +0.002457,102 +0.002535,102 +0.002597,102 +0.002591,102 +0.002620,102 +0.002619,102 +0.002475,102 +0.002493,102 +0.002487,102 +0.002495,102 +0.002473,102 +0.002588,102 +0.002487,102 +0.002486,102 +0.002559,102 +0.002453,102 +0.002496,102 +0.002492,102 +0.002496,102 +0.002455,102 +0.002453,102 +0.002457,102 +0.002455,102 +0.002454,102 +0.002496,102 +0.002492,102 +0.002455,102 +0.002457,102 +0.002452,102 +0.002455,102 +0.002617,102 +0.002530,102 +0.002455,102 +0.002492,102 +0.002455,102 +0.002458,102 +0.002453,102 +0.002455,102 +0.002530,102 +0.002486,102 +0.002476,102 +0.002453,102 +0.002644,104 +0.002914,104 +0.002769,104 +0.002818,104 +0.003162,104 +0.002768,104 +0.002623,104 +0.002629,104 +0.002696,104 +0.002602,104 +0.002633,104 +0.002769,104 +0.002594,104 +0.002641,104 +0.002669,104 +0.002631,104 +0.002635,104 +0.002638,104 +0.002594,104 +0.002596,104 +0.002593,104 +0.002675,104 +0.002601,104 +0.002594,104 +0.002599,104 +0.002614,104 +0.002682,104 +0.002697,104 +0.002606,104 +0.002593,104 +0.002598,104 +0.002596,104 +0.002827,104 +0.002739,104 +0.002733,104 +0.002605,104 +0.002660,104 +0.002610,104 +0.002770,104 +0.002754,104 +0.002903,104 +0.002616,104 +0.002653,104 +0.002636,104 +0.002594,104 +0.002617,104 +0.002683,104 +0.002593,104 +0.002621,104 +0.002694,104 +0.002593,104 +0.002931,104 +0.002687,104 +0.002611,104 +0.002615,104 +0.002731,104 +0.002594,104 +0.002599,104 +0.002743,104 +0.002827,104 +0.002593,104 +0.002853,104 +0.002641,104 +0.002677,104 +0.002846,104 +0.002660,104 +0.002593,104 +0.002880,104 +0.002618,104 +0.002593,104 +0.002888,104 +0.002700,104 +0.002593,104 +0.002697,104 +0.002763,104 +0.002742,104 +0.002744,104 +0.002944,104 +0.002612,104 +0.002875,104 +0.002688,104 +0.002594,104 +0.002825,104 +0.002811,104 +0.002790,104 +0.002676,104 +0.002923,104 +0.002650,104 +0.002593,104 +0.002882,104 +0.002773,104 +0.002749,104 +0.002754,104 +0.002698,104 +0.002613,104 +0.002846,104 +0.002832,104 +0.002777,104 +0.002671,104 +0.002618,104 +0.002861,106 +0.002804,106 +0.002767,106 +0.002771,106 +0.002765,106 +0.002768,106 +0.002816,106 +0.003076,106 +0.002747,106 +0.002774,106 +0.002827,106 +0.002822,106 +0.002887,106 +0.003106,106 +0.002937,106 +0.002827,106 +0.002802,106 +0.002752,106 +0.002786,106 +0.002772,106 +0.002751,106 +0.002766,106 +0.002749,106 +0.002751,106 +0.002757,106 +0.002778,106 +0.002750,106 +0.002749,106 +0.002746,106 +0.002751,106 +0.002749,106 +0.002808,106 +0.002755,106 +0.002766,106 +0.002747,106 +0.002748,106 +0.002812,106 +0.003042,106 +0.002754,106 +0.002816,106 +0.002796,106 +0.002796,106 +0.002974,106 +0.002886,106 +0.002746,106 +0.002830,106 +0.002770,106 +0.002814,106 +0.002845,106 +0.002852,106 +0.002921,106 +0.002764,106 +0.002799,106 +0.002937,106 +0.002828,106 +0.002919,106 +0.002782,106 +0.002887,106 +0.002747,106 +0.002781,106 +0.002797,106 +0.002784,106 +0.002768,106 +0.002771,106 +0.002777,106 +0.002746,106 +0.002824,106 +0.002789,106 +0.002930,106 +0.003093,106 +0.002806,106 +0.002859,106 +0.002835,106 +0.002773,106 +0.003069,106 +0.002904,106 +0.002781,106 +0.002778,106 +0.003197,106 +0.002853,106 +0.002909,106 +0.002748,106 +0.003053,106 +0.003029,106 +0.002944,106 +0.003028,106 +0.002922,106 +0.002943,106 +0.002805,106 +0.002842,106 +0.003043,106 +0.002790,106 +0.002891,106 +0.003061,106 +0.002766,106 +0.002845,106 +0.003088,106 +0.002893,106 +0.002975,106 +0.002841,106 +0.003258,108 +0.003219,108 +0.003353,108 +0.003234,108 +0.003371,108 +0.003265,108 +0.003275,108 +0.003025,108 +0.003320,108 +0.003132,108 +0.003040,108 +0.003275,108 +0.003107,108 +0.003192,108 +0.002982,108 +0.002944,108 +0.003102,108 +0.003042,108 +0.003119,108 +0.003389,108 +0.002972,108 +0.002947,108 +0.002959,108 +0.002946,108 +0.003023,108 +0.003080,108 +0.002959,108 +0.003009,108 +0.002963,108 +0.002908,108 +0.003800,108 +0.002959,108 +0.002980,108 +0.002962,108 +0.002907,108 +0.003076,108 +0.003053,108 +0.003043,108 +0.002974,108 +0.002942,108 +0.002948,108 +0.003255,108 +0.003202,108 +0.002996,108 +0.002961,108 +0.002941,108 +0.003798,108 +0.003248,108 +0.003472,108 +0.003765,108 +0.003114,108 +0.003797,108 +0.003137,108 +0.002941,108 +0.003015,108 +0.002948,108 +0.003830,108 +0.003539,108 +0.003319,108 +0.003370,108 +0.003390,108 +0.003863,108 +0.003414,108 +0.003166,108 +0.003177,108 +0.002997,108 +0.004755,108 +0.003511,108 +0.003067,108 +0.003015,108 +0.003014,108 +0.004106,108 +0.003278,108 +0.002963,108 +0.003018,108 +0.003021,108 +0.003756,108 +0.003218,108 +0.004016,108 +0.003551,108 +0.003735,108 +0.003652,108 +0.002973,108 +0.003049,108 +0.003021,108 +0.003233,108 +0.003566,108 +0.003014,108 +0.002982,108 +0.003015,108 +0.002909,108 +0.003506,108 +0.003099,108 +0.003016,108 +0.002987,108 +0.003012,108 +0.003344,108 +0.003108,108 +0.003036,108 +0.002986,108 +0.003121,110 +0.003308,110 +0.003645,110 +0.003130,110 +0.003139,110 +0.003119,110 +0.003193,110 +0.003599,110 +0.003218,110 +0.003943,110 +0.003833,110 +0.004163,110 +0.003342,110 +0.003072,110 +0.003193,110 +0.003109,110 +0.003806,110 +0.003317,110 +0.003172,110 +0.003261,110 +0.003104,110 +0.004003,110 +0.003298,110 +0.003116,110 +0.003148,110 +0.003104,110 +0.003832,110 +0.003439,110 +0.003874,110 +0.003440,110 +0.005118,110 +0.004115,110 +0.003377,110 +0.003371,110 +0.003585,110 +0.004081,110 +0.003263,110 +0.003363,110 +0.005218,110 +0.004327,110 +0.003541,110 +0.003458,110 +0.003406,110 +0.003481,110 +0.004168,110 +0.003612,110 +0.004007,110 +0.003247,110 +0.003406,110 +0.003569,110 +0.003616,110 +0.003771,110 +0.003692,110 +0.003914,110 +0.004257,110 +0.003764,110 +0.003408,110 +0.003849,110 +0.004592,110 +0.003795,110 +0.003294,110 +0.004595,110 +0.005149,110 +0.004321,110 +0.003406,110 +0.004178,110 +0.005475,110 +0.005511,110 +0.003782,110 +0.003560,110 +0.004343,110 +0.003608,110 +0.003263,110 +0.004953,110 +0.004977,110 +0.006301,110 +0.005646,110 +0.004369,110 +0.004527,110 +0.005416,110 +0.004751,110 +0.003676,110 +0.003736,110 +0.003644,110 +0.005144,110 +0.004847,110 +0.005405,110 +0.003992,110 +0.003676,110 +0.004584,110 +0.003187,110 +0.003931,110 +0.004963,110 +0.004742,110 +0.004872,110 +0.003628,110 +0.003541,110 +0.003228,110 +0.003850,110 +0.005009,110 +0.005836,112 +0.006242,112 +0.006106,112 +0.003673,112 +0.003781,112 +0.003425,112 +0.003692,112 +0.004829,112 +0.003334,112 +0.004316,112 +0.004068,112 +0.006432,112 +0.004738,112 +0.003701,112 +0.003584,112 +0.003472,112 +0.003439,112 +0.004773,112 +0.004372,112 +0.004500,112 +0.003843,112 +0.003317,112 +0.004180,112 +0.003587,112 +0.004891,112 +0.003355,112 +0.004367,112 +0.005543,112 +0.004212,112 +0.003753,112 +0.005279,112 +0.006208,112 +0.006200,112 +0.005718,112 +0.004388,112 +0.003853,112 +0.004592,112 +0.005675,112 +0.005520,112 +0.004401,112 +0.004859,112 +0.006026,112 +0.005075,112 +0.004250,112 +0.004091,112 +0.003717,112 +0.003554,112 +0.003785,112 +0.003421,112 +0.003694,112 +0.003385,112 +0.003369,112 +0.003600,112 +0.003460,112 +0.003418,112 +0.005473,112 +0.006749,112 +0.004214,112 +0.003674,112 +0.004082,112 +0.003621,112 +0.003577,112 +0.003567,112 +0.003612,112 +0.004367,112 +0.003855,112 +0.004755,112 +0.004980,112 +0.004530,112 +0.004115,112 +0.004447,112 +0.003744,112 +0.003871,112 +0.003347,112 +0.003526,112 +0.004476,112 +0.005915,112 +0.006213,112 +0.005642,112 +0.003939,112 +0.004915,112 +0.003862,112 +0.003666,112 +0.005661,112 +0.004728,112 +0.004609,112 +0.004075,112 +0.003584,112 +0.003461,112 +0.003718,112 +0.003806,112 +0.004843,112 +0.003594,112 +0.003614,112 +0.003549,112 +0.004039,112 +0.003723,112 +0.003414,112 +0.003796,112 +0.003973,112 +0.004787,114 +0.004136,114 +0.003698,114 +0.003936,114 +0.004186,114 +0.003469,114 +0.003586,114 +0.003563,114 +0.004120,114 +0.003981,114 +0.003613,114 +0.003603,114 +0.004202,114 +0.003610,114 +0.003615,114 +0.003970,114 +0.003713,114 +0.004594,114 +0.003967,114 +0.003705,114 +0.003533,114 +0.005343,114 +0.003616,114 +0.003937,114 +0.003666,114 +0.004701,114 +0.004117,114 +0.003791,114 +0.003927,114 +0.004133,114 +0.003919,114 +0.003650,114 +0.003989,114 +0.005745,114 +0.004907,114 +0.004419,114 +0.006310,114 +0.004878,114 +0.005730,114 +0.004555,114 +0.004293,114 +0.004167,114 +0.003760,114 +0.003707,114 +0.004708,114 +0.004830,114 +0.004394,114 +0.004506,114 +0.004576,114 +0.003709,114 +0.003710,114 +0.003735,114 +0.003963,114 +0.003603,114 +0.003639,114 +0.003622,114 +0.003918,114 +0.003500,114 +0.003536,114 +0.003496,114 +0.003747,114 +0.004614,114 +0.003626,114 +0.003560,114 +0.004132,114 +0.003929,114 +0.003513,114 +0.003639,114 +0.003501,114 +0.004693,114 +0.003638,114 +0.003510,114 +0.003523,114 +0.005249,114 +0.003929,114 +0.003533,114 +0.003540,114 +0.003679,114 +0.004028,114 +0.003837,114 +0.004211,114 +0.004641,114 +0.003909,114 +0.003980,114 +0.003944,114 +0.003978,114 +0.003950,114 +0.003711,114 +0.004290,114 +0.004783,114 +0.003931,114 +0.003651,114 +0.003681,114 +0.003937,114 +0.004409,114 +0.004043,114 +0.004928,114 +0.004647,114 +0.004604,114 +0.004061,114 +0.003837,116 +0.003813,116 +0.003887,116 +0.004217,116 +0.003743,116 +0.003736,116 +0.004412,116 +0.003754,116 +0.003727,116 +0.003773,116 +0.004102,116 +0.004182,116 +0.003631,116 +0.003809,116 +0.003794,116 +0.004108,116 +0.003639,116 +0.003756,116 +0.003689,116 +0.004026,116 +0.003754,116 +0.003671,116 +0.003682,116 +0.003978,116 +0.003798,116 +0.003636,116 +0.003711,116 +0.004586,116 +0.004441,116 +0.004037,116 +0.003830,116 +0.003782,116 +0.004104,116 +0.003632,116 +0.003748,116 +0.003665,116 +0.004122,116 +0.003719,116 +0.003682,116 +0.003697,116 +0.003930,116 +0.003940,116 +0.003639,116 +0.003774,116 +0.003674,116 +0.004208,116 +0.003627,116 +0.003687,116 +0.003675,116 +0.004086,116 +0.003825,116 +0.003594,116 +0.003723,116 +0.004457,116 +0.004397,116 +0.003899,116 +0.003694,116 +0.003790,116 +0.004091,116 +0.003629,116 +0.004212,116 +0.003711,116 +0.004105,116 +0.003695,116 +0.003939,116 +0.003718,116 +0.004045,116 +0.004201,116 +0.003629,116 +0.003789,116 +0.003828,116 +0.004067,116 +0.003635,116 +0.003762,116 +0.003638,116 +0.004158,116 +0.003709,116 +0.003672,116 +0.003669,116 +0.003834,116 +0.003983,116 +0.004511,116 +0.003747,116 +0.003918,116 +0.003984,116 +0.003632,116 +0.003687,116 +0.003700,116 +0.004324,116 +0.003912,116 +0.004117,116 +0.004163,116 +0.004294,116 +0.003923,116 +0.003681,116 +0.003711,116 +0.004289,116 +0.004412,116 +0.003677,116 +0.003650,116 +0.004346,118 +0.003991,118 +0.003824,118 +0.003865,118 +0.003964,118 +0.004073,118 +0.004120,118 +0.003890,118 +0.003943,118 +0.004015,118 +0.003822,118 +0.003899,118 +0.003838,118 +0.004025,118 +0.003836,118 +0.003853,118 +0.003892,118 +0.003903,118 +0.003821,118 +0.003811,118 +0.003981,118 +0.003875,118 +0.003817,118 +0.003806,118 +0.003877,118 +0.003795,118 +0.003856,118 +0.003790,118 +0.003831,118 +0.003843,118 +0.004057,118 +0.004039,118 +0.003847,118 +0.003866,118 +0.003882,118 +0.003810,118 +0.003817,118 +0.003938,118 +0.003862,118 +0.003835,118 +0.003787,118 +0.003868,118 +0.003877,118 +0.003898,118 +0.003814,118 +0.003827,118 +0.003906,118 +0.003855,118 +0.003836,118 +0.003836,118 +0.003881,118 +0.003875,118 +0.003795,118 +0.003789,118 +0.003846,118 +0.003810,118 +0.004143,118 +0.004031,118 +0.003871,118 +0.003842,118 +0.003850,118 +0.003794,118 +0.003790,118 +0.003881,118 +0.003891,118 +0.003850,118 +0.003791,118 +0.003886,118 +0.004017,118 +0.003790,118 +0.003787,118 +0.003825,118 +0.003930,118 +0.003822,118 +0.003789,118 +0.003793,118 +0.003874,118 +0.003793,118 +0.003789,118 +0.003789,118 +0.003855,118 +0.003809,118 +0.004019,118 +0.004125,118 +0.003866,118 +0.003863,118 +0.003847,118 +0.003883,118 +0.003818,118 +0.003886,118 +0.003990,118 +0.003835,118 +0.003814,118 +0.003876,118 +0.003837,118 +0.003814,118 +0.003791,118 +0.003847,118 +0.003900,118 +0.003798,118 +0.004000,120 +0.004003,120 +0.004077,120 +0.003994,120 +0.003974,120 +0.003978,120 +0.004037,120 +0.003980,120 +0.004235,120 +0.004179,120 +0.004089,120 +0.003979,120 +0.003974,120 +0.004010,120 +0.004069,120 +0.003998,120 +0.003995,120 +0.003976,120 +0.004063,120 +0.004007,120 +0.004009,120 +0.003985,120 +0.004014,120 +0.004230,120 +0.003977,120 +0.003984,120 +0.004036,120 +0.004071,120 +0.003974,120 +0.004011,120 +0.004010,120 +0.004069,120 +0.003974,120 +0.004183,120 +0.004231,120 +0.004194,120 +0.003994,120 +0.004074,120 +0.004010,120 +0.004118,120 +0.004167,120 +0.004004,120 +0.003977,120 +0.004067,120 +0.003977,120 +0.003979,120 +0.003978,120 +0.004116,120 +0.004197,120 +0.003985,120 +0.003974,120 +0.004189,120 +0.004266,120 +0.004054,120 +0.004065,120 +0.004118,120 +0.004036,120 +0.004116,120 +0.004106,120 +0.004314,120 +0.003997,120 +0.004074,120 +0.004018,120 +0.004176,120 +0.004099,120 +0.004020,120 +0.004015,120 +0.004070,120 +0.004088,120 +0.004059,120 +0.003995,120 +0.004057,120 +0.004145,120 +0.004015,120 +0.003982,120 +0.004031,120 +0.004070,120 +0.004034,120 +0.003996,120 +0.003981,120 +0.004161,120 +0.004040,120 +0.004191,120 +0.004170,120 +0.004290,120 +0.004079,120 +0.004132,120 +0.004137,120 +0.004106,120 +0.004235,120 +0.004068,120 +0.004007,120 +0.004126,120 +0.004024,120 +0.004011,120 +0.003998,120 +0.004253,120 +0.004004,120 +0.003992,120 +0.003978,120 +0.004298,122 +0.004239,122 +0.004193,122 +0.004273,122 +0.004511,122 +0.004250,122 +0.004320,122 +0.004322,122 +0.004460,122 +0.004300,122 +0.004190,122 +0.004215,122 +0.004357,122 +0.004246,122 +0.004205,122 +0.004235,122 +0.004389,122 +0.004201,122 +0.004194,122 +0.004306,122 +0.004595,122 +0.004326,122 +0.004256,122 +0.004449,122 +0.004713,122 +0.004423,122 +0.004446,122 +0.006128,122 +0.004411,122 +0.004457,122 +0.004512,122 +0.004526,122 +0.004402,122 +0.004343,122 +0.004366,122 +0.004230,122 +0.004355,122 +0.004229,122 +0.004364,122 +0.004227,122 +0.004440,122 +0.004216,122 +0.004329,122 +0.004527,122 +0.004341,122 +0.004345,122 +0.004381,122 +0.004347,122 +0.004344,122 +0.004340,122 +0.004348,122 +0.004345,122 +0.004357,122 +0.004451,122 +0.004466,122 +0.004447,122 +0.004343,122 +0.004389,122 +0.004335,122 +0.004316,122 +0.004315,122 +0.004398,122 +0.004329,122 +0.004331,122 +0.004306,122 +0.004485,122 +0.004364,122 +0.004366,122 +0.004397,122 +0.004434,122 +0.004343,122 +0.004308,122 +0.004346,122 +0.004389,122 +0.004326,122 +0.004366,122 +0.004459,122 +0.004491,122 +0.004347,122 +0.004341,122 +0.004427,122 +0.004351,122 +0.004329,122 +0.004334,122 +0.004406,122 +0.004350,122 +0.004357,122 +0.004361,122 +0.004495,122 +0.004339,122 +0.004342,122 +0.004354,122 +0.004483,122 +0.004325,122 +0.004302,122 +0.004377,122 +0.004309,122 +0.004324,122 +0.004372,122 +0.004457,122 +0.004703,124 +0.004598,124 +0.004443,124 +0.004476,124 +0.004466,124 +0.004408,124 +0.004476,124 +0.004529,124 +0.004481,124 +0.004412,124 +0.004553,124 +0.004512,124 +0.004408,124 +0.004450,124 +0.004573,124 +0.004461,124 +0.007765,124 +0.005173,124 +0.004744,124 +0.004438,124 +0.004704,124 +0.004726,124 +0.004482,124 +0.004423,124 +0.004644,124 +0.004437,124 +0.004417,124 +0.004424,124 +0.004531,124 +0.004459,124 +0.004431,124 +0.004436,124 +0.004615,124 +0.004449,124 +0.004406,124 +0.004666,124 +0.004435,124 +0.004412,124 +0.004413,124 +0.004490,124 +0.004397,124 +0.004397,124 +0.004487,124 +0.004666,124 +0.004561,124 +0.004433,124 +0.004493,124 +0.004520,124 +0.004441,124 +0.004409,124 +0.004517,124 +0.004419,124 +0.004487,124 +0.004420,124 +0.004562,124 +0.004588,124 +0.004433,124 +0.004631,124 +0.004484,124 +0.004458,124 +0.004426,124 +0.004541,124 +0.004425,124 +0.004432,124 +0.004439,124 +0.004638,124 +0.004596,124 +0.004526,124 +0.004487,124 +0.004598,124 +0.004609,124 +0.004424,124 +0.004537,124 +0.004436,124 +0.004412,124 +0.004425,124 +0.004503,124 +0.004560,124 +0.004420,124 +0.004558,124 +0.004533,124 +0.004439,124 +0.004428,124 +0.004719,124 +0.004512,124 +0.004412,124 +0.004443,124 +0.004649,124 +0.004616,124 +0.004498,124 +0.004453,124 +0.004595,124 +0.004456,124 +0.004447,124 +0.004518,124 +0.004489,124 +0.004441,124 +0.004410,124 +0.004513,124 +0.004580,124 +0.004662,126 +0.004719,126 +0.004843,126 +0.004653,126 +0.004644,126 +0.004688,126 +0.004709,126 +0.004654,126 +0.004646,126 +0.004866,126 +0.004883,126 +0.004728,126 +0.004737,126 +0.004719,126 +0.004731,126 +0.004628,126 +0.004735,126 +0.004633,126 +0.004650,126 +0.004696,126 +0.004805,126 +0.004666,126 +0.004765,126 +0.004727,126 +0.004697,126 +0.004747,126 +0.004852,126 +0.004697,126 +0.004709,126 +0.004681,126 +0.004790,126 +0.004838,126 +0.004740,126 +0.004898,126 +0.004784,126 +0.004648,126 +0.004651,126 +0.004750,126 +0.004659,126 +0.004632,126 +0.004671,126 +0.004750,126 +0.004914,126 +0.004887,126 +0.004847,126 +0.004825,126 +0.004675,126 +0.004664,126 +0.004737,126 +0.004657,126 +0.004647,126 +0.004924,126 +0.004950,126 +0.004737,126 +0.004776,126 +0.004728,126 +0.004695,126 +0.004665,126 +0.004781,126 +0.004666,126 +0.004647,126 +0.004690,126 +0.004912,126 +0.004696,126 +0.004686,126 +0.004803,126 +0.004740,126 +0.004676,126 +0.004654,126 +0.004776,126 +0.004657,126 +0.004629,126 +0.004816,126 +0.005045,126 +0.004844,126 +0.004628,126 +0.004776,126 +0.004704,126 +0.004647,126 +0.004736,126 +0.004655,126 +0.004628,126 +0.004640,126 +0.004790,126 +0.004961,126 +0.004783,126 +0.004804,126 +0.004800,126 +0.004720,126 +0.004644,126 +0.004755,126 +0.004661,126 +0.004621,126 +0.004692,126 +0.005043,126 +0.004882,126 +0.004638,126 +0.004839,126 +0.004672,126 +0.004690,126 +0.005225,128 +0.005116,128 +0.005117,128 +0.005175,128 +0.005454,128 +0.005123,128 +0.005107,128 +0.005244,128 +0.005112,128 +0.005123,128 +0.005198,128 +0.005114,128 +0.005077,128 +0.005257,128 +0.005528,128 +0.005315,128 +0.005355,128 +0.005147,128 +0.005106,128 +0.005195,128 +0.005178,128 +0.005105,128 +0.005101,128 +0.005230,128 +0.005409,128 +0.005327,128 +0.005247,128 +0.005288,128 +0.005124,128 +0.005236,128 +0.005127,128 +0.005086,128 +0.005232,128 +0.005578,128 +0.005388,128 +0.005298,128 +0.005190,128 +0.005099,128 +0.005194,128 +0.005261,128 +0.005117,128 +0.005080,128 +0.005250,128 +0.005435,128 +0.005136,128 +0.005334,128 +0.005132,128 +0.005104,128 +0.005230,128 +0.005121,128 +0.005105,128 +0.005130,128 +0.005415,128 +0.005546,128 +0.005168,128 +0.005223,128 +0.005133,128 +0.005122,128 +0.005209,128 +0.005182,128 +0.005085,128 +0.005205,128 +0.005457,128 +0.005141,128 +0.005219,128 +0.005170,128 +0.005112,128 +0.005161,128 +0.005167,128 +0.005112,128 +0.005090,128 +0.005313,128 +0.005500,128 +0.005229,128 +0.005250,128 +0.005178,128 +0.005094,128 +0.005220,128 +0.005137,128 +0.005098,128 +0.005203,128 +0.005323,128 +0.005221,128 +0.005148,128 +0.005209,128 +0.005150,128 +0.005138,128 +0.005215,128 +0.005138,128 +0.005098,128 +0.005285,128 +0.005508,128 +0.005329,128 +0.005309,128 +0.005242,128 +0.005208,128 +0.005242,128 +0.005098,128 +0.005136,128 +0.005154,128 +0.005345,130 +0.005109,130 +0.005101,130 +0.005213,130 +0.005168,130 +0.005101,130 +0.005221,130 +0.005093,130 +0.005125,130 +0.005204,130 +0.005441,130 +0.005309,130 +0.005259,130 +0.005137,130 +0.005116,130 +0.005168,130 +0.005155,130 +0.005108,130 +0.005112,130 +0.005368,130 +0.005092,130 +0.005176,130 +0.005233,130 +0.005154,130 +0.005104,130 +0.005250,130 +0.005092,130 +0.005104,130 +0.005175,130 +0.005286,130 +0.005459,130 +0.005212,130 +0.005176,130 +0.005118,130 +0.005108,130 +0.005281,130 +0.005082,130 +0.005103,130 +0.005340,130 +0.005336,130 +0.005093,130 +0.005294,130 +0.005209,130 +0.005164,130 +0.005152,130 +0.005189,130 +0.005329,130 +0.005140,130 +0.005263,130 +0.005501,130 +0.005242,130 +0.005252,130 +0.005155,130 +0.005076,130 +0.005336,130 +0.005101,130 +0.005096,130 +0.005204,130 +0.005323,130 +0.005099,130 +0.005217,130 +0.005142,130 +0.005118,130 +0.005215,130 +0.005208,130 +0.005089,130 +0.005125,130 +0.005244,130 +0.005430,130 +0.005506,130 +0.005299,130 +0.005211,130 +0.005093,130 +0.005205,130 +0.005145,130 +0.005165,130 +0.005192,130 +0.005181,130 +0.005061,130 +0.005089,130 +0.005094,130 +0.005067,130 +0.005056,130 +0.005117,130 +0.005075,130 +0.005056,130 +0.005119,130 +0.005140,130 +0.005332,130 +0.005271,130 +0.005136,130 +0.005077,130 +0.005105,130 +0.005112,130 +0.005063,130 +0.005056,130 +0.005156,130 +0.005151,130 +0.005054,130 +0.005122,130 +0.005310,132 +0.005291,132 +0.005352,132 +0.005298,132 +0.005291,132 +0.005321,132 +0.005322,132 +0.005535,132 +0.005626,132 +0.005791,132 +0.005476,132 +0.005464,132 +0.005361,132 +0.005298,132 +0.005315,132 +0.005324,132 +0.005383,132 +0.005287,132 +0.005357,132 +0.005293,132 +0.005288,132 +0.005351,132 +0.005338,132 +0.005285,132 +0.005348,132 +0.005316,132 +0.005635,132 +0.005557,132 +0.005343,132 +0.005305,132 +0.005344,132 +0.005322,132 +0.005313,132 +0.005343,132 +0.005423,132 +0.005314,132 +0.005394,132 +0.005388,132 +0.005292,132 +0.005315,132 +0.005354,132 +0.005294,132 +0.005286,132 +0.005360,132 +0.005639,132 +0.005569,132 +0.006009,132 +0.005312,132 +0.005299,132 +0.005374,132 +0.005315,132 +0.005288,132 +0.005413,132 +0.005389,132 +0.005398,132 +0.005396,132 +0.005329,132 +0.005370,132 +0.005364,132 +0.005331,132 +0.005289,132 +0.005350,132 +0.005295,132 +0.005458,132 +0.005831,132 +0.005349,132 +0.005310,132 +0.005362,132 +0.005319,132 +0.005291,132 +0.005315,132 +0.005331,132 +0.005644,132 +0.005542,132 +0.005394,132 +0.005322,132 +0.005315,132 +0.005354,132 +0.005291,132 +0.005286,132 +0.005589,132 +0.005461,132 +0.005522,132 +0.005612,132 +0.005323,132 +0.005350,132 +0.005379,132 +0.005328,132 +0.005358,132 +0.005373,132 +0.005383,132 +0.005312,132 +0.005371,132 +0.005300,132 +0.005297,132 +0.005343,132 +0.005318,132 +0.005354,132 +0.005344,132 +0.005297,132 +0.005727,134 +0.006001,134 +0.005604,134 +0.005544,134 +0.005591,134 +0.005575,134 +0.005543,134 +0.005602,134 +0.005628,134 +0.005538,134 +0.005601,134 +0.005582,134 +0.005604,134 +0.005593,134 +0.005555,134 +0.005542,134 +0.005612,134 +0.005551,134 +0.005696,134 +0.005928,134 +0.005598,134 +0.005536,134 +0.005602,134 +0.005548,134 +0.005540,134 +0.005598,134 +0.005626,134 +0.005551,134 +0.005602,134 +0.005581,134 +0.005547,134 +0.005591,134 +0.005553,134 +0.005532,134 +0.005735,134 +0.006111,134 +0.006117,134 +0.006362,134 +0.006082,134 +0.006000,134 +0.006281,134 +0.006361,134 +0.006285,134 +0.006281,134 +0.005964,134 +0.006317,134 +0.005929,134 +0.006001,134 +0.006070,134 +0.006045,134 +0.006063,134 +0.006067,134 +0.006021,134 +0.006119,134 +0.006383,134 +0.006022,134 +0.006130,134 +0.006054,134 +0.006025,134 +0.006338,134 +0.006325,134 +0.006297,134 +0.006315,134 +0.005940,134 +0.006068,134 +0.006203,134 +0.006115,134 +0.006111,134 +0.006095,134 +0.006063,134 +0.006335,134 +0.006279,134 +0.006346,134 +0.006127,134 +0.006091,134 +0.006185,134 +0.006060,134 +0.005912,134 +0.006329,134 +0.006379,134 +0.006502,134 +0.006095,134 +0.005933,134 +0.006228,134 +0.005815,134 +0.005759,134 +0.005961,134 +0.005614,134 +0.005607,134 +0.005765,134 +0.005981,134 +0.005591,134 +0.005644,134 +0.005614,134 +0.005600,134 +0.005722,134 +0.005538,134 +0.005589,134 +0.005558,134 +0.005544,134 +0.005834,136 +0.005784,136 +0.005778,136 +0.006098,136 +0.006070,136 +0.005775,136 +0.005948,136 +0.006690,136 +0.005806,136 +0.006403,136 +0.006005,136 +0.006340,136 +0.006973,136 +0.006158,136 +0.006490,136 +0.006354,136 +0.005946,136 +0.006281,136 +0.006280,136 +0.006033,136 +0.006958,136 +0.005882,136 +0.006158,136 +0.006321,136 +0.005967,136 +0.006395,136 +0.006145,136 +0.005931,136 +0.006476,136 +0.006284,136 +0.006077,136 +0.006248,136 +0.006011,136 +0.006106,136 +0.006188,136 +0.005986,136 +0.006076,136 +0.006000,136 +0.005937,136 +0.005843,136 +0.005895,136 +0.005877,136 +0.005874,136 +0.005772,136 +0.005883,136 +0.005784,136 +0.005777,136 +0.005908,136 +0.005777,136 +0.005814,136 +0.005822,136 +0.005816,136 +0.005897,136 +0.006165,136 +0.005819,136 +0.005870,136 +0.005808,136 +0.005839,136 +0.005863,136 +0.005844,136 +0.005773,136 +0.005864,136 +0.005783,136 +0.005776,136 +0.005863,136 +0.005780,136 +0.005784,136 +0.005877,136 +0.005782,136 +0.005913,136 +0.006143,136 +0.005873,136 +0.005858,136 +0.005805,136 +0.005825,136 +0.005900,136 +0.005794,136 +0.005851,136 +0.005868,136 +0.005780,136 +0.005806,136 +0.005853,136 +0.005777,136 +0.005772,136 +0.005847,136 +0.005780,136 +0.005777,136 +0.006138,136 +0.005983,136 +0.005805,136 +0.005818,136 +0.005781,136 +0.005883,136 +0.005782,136 +0.005879,136 +0.005866,136 +0.005825,136 +0.005798,136 +0.005845,136 +0.005789,136 +0.006144,138 +0.006206,138 +0.006050,138 +0.006082,138 +0.006384,138 +0.006272,138 +0.006127,138 +0.006058,138 +0.006054,138 +0.006137,138 +0.006182,138 +0.006050,138 +0.006651,138 +0.006438,138 +0.006146,138 +0.006533,138 +0.006085,138 +0.006288,138 +0.006086,138 +0.006083,138 +0.006998,138 +0.006314,138 +0.006406,138 +0.006107,138 +0.006110,138 +0.006393,138 +0.006200,138 +0.006092,138 +0.006353,138 +0.006054,138 +0.006401,138 +0.006207,138 +0.006265,138 +0.006150,138 +0.006073,138 +0.006086,138 +0.006353,138 +0.006384,138 +0.006190,138 +0.006075,138 +0.006109,138 +0.006160,138 +0.006171,138 +0.006062,138 +0.006181,138 +0.006079,138 +0.006195,138 +0.006082,138 +0.006056,138 +0.006119,138 +0.006057,138 +0.006043,138 +0.006311,138 +0.006433,138 +0.006132,138 +0.006261,138 +0.006091,138 +0.006167,138 +0.006054,138 +0.006126,138 +0.006143,138 +0.006052,138 +0.006045,138 +0.006127,138 +0.006047,138 +0.006085,138 +0.006126,138 +0.006050,138 +0.006128,138 +0.006386,138 +0.006225,138 +0.006126,138 +0.006080,138 +0.006061,138 +0.006171,138 +0.006165,138 +0.006168,138 +0.006123,138 +0.006081,138 +0.006128,138 +0.006048,138 +0.006047,138 +0.006126,138 +0.006076,138 +0.006082,138 +0.006268,138 +0.006333,138 +0.006179,138 +0.006075,138 +0.006054,138 +0.006144,138 +0.006149,138 +0.006059,138 +0.006157,138 +0.006082,138 +0.006094,138 +0.006091,138 +0.006047,138 +0.006129,138 +0.006050,138 +0.006337,140 +0.006400,140 +0.006574,140 +0.006676,140 +0.006315,140 +0.006319,140 +0.006404,140 +0.006336,140 +0.006425,140 +0.006379,140 +0.006310,140 +0.006384,140 +0.006309,140 +0.006344,140 +0.006387,140 +0.006314,140 +0.006349,140 +0.006525,140 +0.006626,140 +0.006451,140 +0.006317,140 +0.006307,140 +0.006405,140 +0.006402,140 +0.006386,140 +0.006310,140 +0.006303,140 +0.006385,140 +0.006305,140 +0.006345,140 +0.006347,140 +0.006308,140 +0.006397,140 +0.006469,140 +0.006585,140 +0.006423,140 +0.006313,140 +0.006412,140 +0.006308,140 +0.006395,140 +0.006382,140 +0.006307,140 +0.006343,140 +0.006368,140 +0.006309,140 +0.006386,140 +0.006307,140 +0.006304,140 +0.006382,140 +0.006535,140 +0.006571,140 +0.006345,140 +0.006319,140 +0.006407,140 +0.006317,140 +0.006471,140 +0.006446,140 +0.006339,140 +0.006411,140 +0.006311,140 +0.006303,140 +0.006465,140 +0.006307,140 +0.006342,140 +0.006347,140 +0.006552,140 +0.006571,140 +0.006321,140 +0.006361,140 +0.006429,140 +0.006384,140 +0.006402,140 +0.006311,140 +0.006303,140 +0.006386,140 +0.006306,140 +0.006354,140 +0.006357,140 +0.006309,140 +0.006384,140 +0.006307,140 +0.006558,140 +0.006513,140 +0.006311,140 +0.006354,140 +0.006346,140 +0.006407,140 +0.006385,140 +0.006308,140 +0.006305,140 +0.006381,140 +0.006309,140 +0.006383,140 +0.006312,140 +0.006313,140 +0.006383,140 +0.006480,140 +0.006622,140 +0.006399,140 +0.006320,140 +0.006685,142 +0.006591,142 +0.006702,142 +0.006625,142 +0.006589,142 +0.006665,142 +0.006586,142 +0.006584,142 +0.006666,142 +0.006587,142 +0.006679,142 +0.006590,142 +0.006811,142 +0.006806,142 +0.006596,142 +0.006669,142 +0.006599,142 +0.006663,142 +0.006728,142 +0.006585,142 +0.007004,142 +0.007236,142 +0.007073,142 +0.007474,142 +0.006630,142 +0.006928,142 +0.006732,142 +0.007071,142 +0.006601,142 +0.006587,142 +0.006673,142 +0.006685,142 +0.006709,142 +0.006656,142 +0.006584,142 +0.006663,142 +0.006588,142 +0.006665,142 +0.006650,142 +0.006594,142 +0.006675,142 +0.006671,142 +0.007029,142 +0.006622,142 +0.006624,142 +0.006750,142 +0.007873,142 +0.006733,142 +0.006849,142 +0.006880,142 +0.006839,142 +0.006767,142 +0.006828,142 +0.006757,142 +0.006806,142 +0.006630,142 +0.006778,142 +0.007067,142 +0.006704,142 +0.006746,142 +0.006644,142 +0.006692,142 +0.006747,142 +0.006707,142 +0.006716,142 +0.006660,142 +0.006632,142 +0.006743,142 +0.007173,142 +0.006932,142 +0.006678,142 +0.006988,142 +0.006903,142 +0.006596,142 +0.006914,142 +0.006590,142 +0.007036,142 +0.006830,142 +0.006713,142 +0.006756,142 +0.006656,142 +0.006650,142 +0.006702,142 +0.006673,142 +0.006853,142 +0.006643,142 +0.006941,142 +0.006973,142 +0.006675,142 +0.006820,142 +0.006726,142 +0.006739,142 +0.006694,142 +0.006696,142 +0.006955,142 +0.006669,142 +0.006780,142 +0.006669,142 +0.006774,142 +0.006784,142 +0.006946,144 +0.007180,144 +0.007175,144 +0.006981,144 +0.007011,144 +0.006981,144 +0.007058,144 +0.006979,144 +0.007020,144 +0.006891,144 +0.006974,144 +0.007013,144 +0.007064,144 +0.007010,144 +0.006935,144 +0.007171,144 +0.007264,144 +0.006881,144 +0.007101,144 +0.007048,144 +0.007135,144 +0.006928,144 +0.006969,144 +0.006954,144 +0.006935,144 +0.007018,144 +0.007033,144 +0.007058,144 +0.006911,144 +0.006959,144 +0.007164,144 +0.007034,144 +0.007004,144 +0.006925,144 +0.007048,144 +0.006911,144 +0.006925,144 +0.006982,144 +0.007009,144 +0.006980,144 +0.007044,144 +0.006942,144 +0.007042,144 +0.007044,144 +0.007140,144 +0.007128,144 +0.006992,144 +0.006979,144 +0.006992,144 +0.007026,144 +0.006894,144 +0.006992,144 +0.006908,144 +0.006913,144 +0.007092,144 +0.006903,144 +0.007016,144 +0.006961,144 +0.007095,144 +0.007097,144 +0.007115,144 +0.007031,144 +0.006934,144 +0.007039,144 +0.006954,144 +0.007028,144 +0.006887,144 +0.006999,144 +0.007085,144 +0.006888,144 +0.007021,144 +0.006992,144 +0.007038,144 +0.007296,144 +0.007040,144 +0.007109,144 +0.006944,144 +0.007045,144 +0.006961,144 +0.006940,144 +0.006953,144 +0.006940,144 +0.007063,144 +0.006913,144 +0.007011,144 +0.006932,144 +0.006881,144 +0.007184,144 +0.007128,144 +0.007072,144 +0.006937,144 +0.007065,144 +0.006980,144 +0.006957,144 +0.007054,144 +0.006988,144 +0.007102,144 +0.006926,144 +0.006940,144 +0.007007,144 +0.007310,146 +0.007503,146 +0.007518,146 +0.007639,146 +0.007285,146 +0.007494,146 +0.007291,146 +0.007312,146 +0.007408,146 +0.007292,146 +0.007390,146 +0.007326,146 +0.007384,146 +0.007387,146 +0.007313,146 +0.007532,146 +0.007562,146 +0.007357,146 +0.007306,146 +0.007373,146 +0.007276,146 +0.007394,146 +0.007270,146 +0.007294,146 +0.007332,146 +0.007257,146 +0.007375,146 +0.007292,146 +0.007418,146 +0.007439,146 +0.007513,146 +0.007323,146 +0.007384,146 +0.007416,146 +0.007336,146 +0.007373,146 +0.007230,146 +0.007855,146 +0.007391,146 +0.007525,146 +0.007321,146 +0.007766,146 +0.007705,146 +0.008125,146 +0.007839,146 +0.008005,146 +0.008066,146 +0.007611,146 +0.007603,146 +0.007924,146 +0.007917,146 +0.008697,146 +0.007902,146 +0.008156,146 +0.007777,146 +0.007991,146 +0.007792,146 +0.007690,146 +0.008070,146 +0.007532,146 +0.007425,146 +0.007711,146 +0.007342,146 +0.007745,146 +0.007388,146 +0.007762,146 +0.007380,146 +0.007572,146 +0.008872,146 +0.007442,146 +0.007244,146 +0.007486,146 +0.007478,146 +0.007317,146 +0.007404,146 +0.007255,146 +0.007393,146 +0.007261,146 +0.007373,146 +0.007560,146 +0.007425,146 +0.008690,146 +0.007781,146 +0.007627,146 +0.007529,146 +0.007442,146 +0.007458,146 +0.007404,146 +0.007270,146 +0.007425,146 +0.007276,146 +0.007546,146 +0.007440,146 +0.007283,146 +0.007965,146 +0.008321,146 +0.007419,146 +0.007291,146 +0.007481,146 +0.007402,146 +0.007778,148 +0.007615,148 +0.007758,148 +0.007670,148 +0.007914,148 +0.007726,148 +0.007688,148 +0.008380,148 +0.008756,148 +0.007832,148 +0.007708,148 +0.007808,148 +0.007701,148 +0.007684,148 +0.007601,148 +0.007729,148 +0.007646,148 +0.010019,148 +0.010566,148 +0.008456,148 +0.008756,148 +0.008002,148 +0.007720,148 +0.008182,148 +0.007676,148 +0.007769,148 +0.007617,148 +0.007762,148 +0.007616,148 +0.007896,148 +0.007661,148 +0.008434,148 +0.007774,148 +0.007898,148 +0.007938,148 +0.007794,148 +0.007770,148 +0.007682,148 +0.007740,148 +0.007658,148 +0.007811,148 +0.007639,148 +0.007765,148 +0.008333,148 +0.007766,148 +0.007792,148 +0.008049,148 +0.007656,148 +0.007810,148 +0.007844,148 +0.007735,148 +0.007690,148 +0.007637,148 +0.007724,148 +0.007651,148 +0.007805,148 +0.007719,148 +0.007757,148 +0.007824,148 +0.008019,148 +0.007648,148 +0.007793,148 +0.007652,148 +0.007700,148 +0.007683,148 +0.007605,148 +0.007735,148 +0.007639,148 +0.007750,148 +0.007703,148 +0.007735,148 +0.007821,148 +0.008072,148 +0.007652,148 +0.007801,148 +0.007742,148 +0.007765,148 +0.007639,148 +0.008044,148 +0.008433,148 +0.007989,148 +0.008329,148 +0.008245,148 +0.008221,148 +0.008322,148 +0.008063,148 +0.007857,148 +0.007852,148 +0.007735,148 +0.008152,148 +0.008043,148 +0.008220,148 +0.007921,148 +0.008088,148 +0.008168,148 +0.008056,148 +0.008000,148 +0.008362,148 +0.007909,148 +0.009064,148 +0.008346,150 +0.008128,150 +0.007978,150 +0.007981,150 +0.007997,150 +0.008024,150 +0.008138,150 +0.008056,150 +0.008012,150 +0.008554,150 +0.007982,150 +0.008079,150 +0.008173,150 +0.008247,150 +0.007963,150 +0.007973,150 +0.007973,150 +0.007978,150 +0.007963,150 +0.007982,150 +0.007996,150 +0.008331,150 +0.008317,150 +0.008052,150 +0.008038,150 +0.007984,150 +0.008001,150 +0.008107,150 +0.007991,150 +0.007992,150 +0.008025,150 +0.007979,150 +0.008018,150 +0.008062,150 +0.008459,150 +0.008003,150 +0.008107,150 +0.008063,150 +0.007981,150 +0.007958,150 +0.008063,150 +0.007984,150 +0.008013,150 +0.007974,150 +0.008009,150 +0.008056,150 +0.008926,150 +0.008235,150 +0.008700,150 +0.008811,150 +0.008310,150 +0.008023,150 +0.008036,150 +0.007984,150 +0.008003,150 +0.008007,150 +0.008060,150 +0.007973,150 +0.008231,150 +0.008441,150 +0.008058,150 +0.008011,150 +0.007978,150 +0.008027,150 +0.007937,150 +0.008053,150 +0.007993,150 +0.008003,150 +0.008118,150 +0.008002,150 +0.007976,150 +0.008652,150 +0.008004,150 +0.008149,150 +0.008675,150 +0.008305,150 +0.008023,150 +0.008031,150 +0.007990,150 +0.007980,150 +0.007962,150 +0.008021,150 +0.007980,150 +0.008286,150 +0.008263,150 +0.008098,150 +0.008096,150 +0.008071,150 +0.007968,150 +0.007976,150 +0.007980,150 +0.008035,150 +0.007977,150 +0.008001,150 +0.007974,150 +0.008073,150 +0.008516,150 +0.007981,150 +0.008411,150 +0.008241,150 +0.008650,152 +0.008546,152 +0.008398,152 +0.008301,152 +0.008325,152 +0.008319,152 +0.008371,152 +0.008372,152 +0.008826,152 +0.008335,152 +0.008408,152 +0.008364,152 +0.008326,152 +0.008344,152 +0.008336,152 +0.008302,152 +0.008316,152 +0.008305,152 +0.008350,152 +0.008368,152 +0.008856,152 +0.008355,152 +0.008551,152 +0.008376,152 +0.008291,152 +0.008303,152 +0.008329,152 +0.008321,152 +0.008396,152 +0.008476,152 +0.008333,152 +0.008421,152 +0.009212,152 +0.008451,152 +0.008314,152 +0.008375,152 +0.008240,152 +0.008306,152 +0.008367,152 +0.008485,152 +0.008341,152 +0.008528,152 +0.008268,152 +0.008497,152 +0.008824,152 +0.008429,152 +0.008309,152 +0.008354,152 +0.008250,152 +0.008309,152 +0.008308,152 +0.008352,152 +0.008268,152 +0.008575,152 +0.008266,152 +0.008708,152 +0.008738,152 +0.008758,152 +0.008415,152 +0.008447,152 +0.008256,152 +0.008588,152 +0.008314,152 +0.008504,152 +0.008304,152 +0.008422,152 +0.008275,152 +0.008529,152 +0.008792,152 +0.008401,152 +0.008369,152 +0.008584,152 +0.008314,152 +0.008303,152 +0.008326,152 +0.008382,152 +0.008319,152 +0.008334,152 +0.008260,152 +0.008533,152 +0.008883,152 +0.008571,152 +0.008472,152 +0.008538,152 +0.008479,152 +0.008707,152 +0.008450,152 +0.008625,152 +0.008442,152 +0.008723,152 +0.009167,152 +0.009004,152 +0.009271,152 +0.009005,152 +0.010127,152 +0.010188,152 +0.011063,152 +0.009559,152 +0.009838,152 +0.009961,152 +0.009792,154 +0.009499,154 +0.009653,154 +0.009494,154 +0.009772,154 +0.009646,154 +0.009619,154 +0.009178,154 +0.009863,154 +0.009757,154 +0.009511,154 +0.009677,154 +0.009544,154 +0.009983,154 +0.009500,154 +0.009243,154 +0.009506,154 +0.009279,154 +0.009287,154 +0.009049,154 +0.008765,154 +0.008746,154 +0.008860,154 +0.008931,154 +0.008970,154 +0.008748,154 +0.008955,154 +0.009060,154 +0.009114,154 +0.009070,154 +0.009268,154 +0.009261,154 +0.009288,154 +0.009213,154 +0.009292,154 +0.009037,154 +0.009542,154 +0.009994,154 +0.009146,154 +0.009390,154 +0.009094,154 +0.008783,154 +0.008926,154 +0.008703,154 +0.008679,154 +0.009198,154 +0.008700,154 +0.008618,154 +0.008616,154 +0.008538,154 +0.008603,154 +0.008568,154 +0.008587,154 +0.008565,154 +0.008594,154 +0.008616,154 +0.008779,154 +0.008935,154 +0.008574,154 +0.008673,154 +0.008572,154 +0.008687,154 +0.008556,154 +0.008651,154 +0.008531,154 +0.008601,154 +0.008538,154 +0.008599,154 +0.009100,154 +0.008690,154 +0.008595,154 +0.008651,154 +0.008587,154 +0.008598,154 +0.008538,154 +0.008612,154 +0.008553,154 +0.008637,154 +0.008539,154 +0.008770,154 +0.010257,154 +0.008723,154 +0.008869,154 +0.008579,154 +0.008621,154 +0.008552,154 +0.008607,154 +0.008537,154 +0.008603,154 +0.008534,154 +0.008603,154 +0.008690,154 +0.009026,154 +0.008675,154 +0.009593,154 +0.008742,154 +0.008727,154 +0.008825,154 +0.008665,154 +0.008692,154 +0.008984,156 +0.008931,156 +0.011467,156 +0.011223,156 +0.009128,156 +0.008904,156 +0.008958,156 +0.008882,156 +0.008937,156 +0.009507,156 +0.010447,156 +0.009244,156 +0.009419,156 +0.009403,156 +0.009228,156 +0.009477,156 +0.009392,156 +0.009371,156 +0.009207,156 +0.009178,156 +0.009348,156 +0.009250,156 +0.009315,156 +0.009246,156 +0.009537,156 +0.009041,156 +0.009492,156 +0.009271,156 +0.009272,156 +0.009327,156 +0.009955,156 +0.011658,156 +0.009964,156 +0.011695,156 +0.012714,156 +0.011539,156 +0.010104,156 +0.011475,156 +0.009902,156 +0.009919,156 +0.011891,156 +0.011584,156 +0.010316,156 +0.010424,156 +0.009976,156 +0.011155,156 +0.009782,156 +0.010686,156 +0.013995,156 +0.011084,156 +0.009411,156 +0.010324,156 +0.015872,156 +0.011228,156 +0.009864,156 +0.010520,156 +0.009239,156 +0.010670,156 +0.009977,156 +0.009525,156 +0.009844,156 +0.009151,156 +0.009747,156 +0.009790,156 +0.009815,156 +0.010218,156 +0.010520,156 +0.012190,156 +0.015521,156 +0.009509,156 +0.009140,156 +0.012884,156 +0.009942,156 +0.009681,156 +0.009923,156 +0.009139,156 +0.009531,156 +0.008975,156 +0.009821,156 +0.009291,156 +0.010210,156 +0.009505,156 +0.010075,156 +0.009369,156 +0.008945,156 +0.010025,156 +0.009424,156 +0.009071,156 +0.009673,156 +0.009162,156 +0.009764,156 +0.009041,156 +0.011949,156 +0.009617,156 +0.009074,156 +0.009598,156 +0.009052,156 +0.009570,156 +0.009098,156 +0.010041,156 +0.009708,158 +0.010064,158 +0.009928,158 +0.009806,158 +0.010372,158 +0.009740,158 +0.010422,158 +0.009990,158 +0.012470,158 +0.011446,158 +0.011016,158 +0.013338,158 +0.014195,158 +0.011668,158 +0.011490,158 +0.012130,158 +0.019081,158 +0.015487,158 +0.009681,158 +0.012794,158 +0.010850,158 +0.011093,158 +0.010817,158 +0.011067,158 +0.010525,158 +0.012347,158 +0.013523,158 +0.015113,158 +0.011413,158 +0.011253,158 +0.010759,158 +0.015331,158 +0.016442,158 +0.015369,158 +0.018370,158 +0.018265,158 +0.011872,158 +0.009907,158 +0.011238,158 +0.010150,158 +0.010105,158 +0.010182,158 +0.010156,158 +0.010646,158 +0.010022,158 +0.011163,158 +0.011613,158 +0.012204,158 +0.010184,158 +0.010941,158 +0.009729,158 +0.010241,158 +0.011784,158 +0.012669,158 +0.010926,158 +0.010744,158 +0.009868,158 +0.010450,158 +0.010083,158 +0.009632,158 +0.011187,158 +0.010271,158 +0.010291,158 +0.010722,158 +0.010145,158 +0.010388,158 +0.010175,158 +0.009634,158 +0.010690,158 +0.010194,158 +0.010933,158 +0.010413,158 +0.010111,158 +0.009954,158 +0.009935,158 +0.009513,158 +0.010208,158 +0.009461,158 +0.010033,158 +0.009768,158 +0.009675,158 +0.009992,158 +0.015378,158 +0.009805,158 +0.009962,158 +0.009615,158 +0.009814,158 +0.009782,158 +0.009562,158 +0.009641,158 +0.009396,158 +0.009651,158 +0.009703,158 +0.009545,158 +0.009404,158 +0.009308,158 +0.009399,158 +0.009599,158 +0.009542,158 +0.009624,158 +0.009764,160 +0.009766,160 +0.010419,160 +0.009815,160 +0.009659,160 +0.009766,160 +0.009896,160 +0.009800,160 +0.009621,160 +0.009634,160 +0.009769,160 +0.009709,160 +0.010182,160 +0.010103,160 +0.009729,160 +0.016327,160 +0.018110,160 +0.009952,160 +0.009734,160 +0.009748,160 +0.009848,160 +0.010281,160 +0.009908,160 +0.009824,160 +0.009719,160 +0.009832,160 +0.009633,160 +0.009759,160 +0.009556,160 +0.009787,160 +0.009659,160 +0.010176,160 +0.010140,160 +0.009638,160 +0.010102,160 +0.009776,160 +0.009687,160 +0.009705,160 +0.009597,160 +0.009634,160 +0.009557,160 +0.009941,160 +0.015949,160 +0.018097,160 +0.018372,160 +0.017274,160 +0.017383,160 +0.017845,160 +0.017787,160 +0.017123,160 +0.009852,160 +0.009752,160 +0.009764,160 +0.009808,160 +0.009696,160 +0.009943,160 +0.010198,160 +0.009885,160 +0.009826,160 +0.009636,160 +0.009895,160 +0.009603,160 +0.012460,160 +0.009786,160 +0.009703,160 +0.009974,160 +0.010484,160 +0.009772,160 +0.009750,160 +0.009698,160 +0.009840,160 +0.009727,160 +0.009810,160 +0.009745,160 +0.009768,160 +0.009757,160 +0.012811,160 +0.009725,160 +0.009802,160 +0.009732,160 +0.009781,160 +0.009819,160 +0.009776,160 +0.009768,160 +0.009759,160 +0.009821,160 +0.011373,160 +0.009787,160 +0.009738,160 +0.009744,160 +0.009732,160 +0.009770,160 +0.009758,160 +0.009691,160 +0.009695,160 +0.009737,160 +0.011340,160 +0.009818,160 +0.009742,160 +0.009665,160 +0.010148,162 +0.010251,162 +0.010111,162 +0.010181,162 +0.010023,162 +0.010160,162 +0.011832,162 +0.010147,162 +0.010344,162 +0.009981,162 +0.010106,162 +0.010133,162 +0.010074,162 +0.010133,162 +0.010118,162 +0.010709,162 +0.011354,162 +0.010097,162 +0.010123,162 +0.010064,162 +0.010051,162 +0.010191,162 +0.009993,162 +0.010145,162 +0.010079,162 +0.011254,162 +0.010817,162 +0.010116,162 +0.010152,162 +0.010225,162 +0.010111,162 +0.010227,162 +0.010041,162 +0.010084,162 +0.010101,162 +0.011673,162 +0.010321,162 +0.010229,162 +0.010453,162 +0.010441,162 +0.010382,162 +0.010084,162 +0.010164,162 +0.010015,162 +0.010080,162 +0.011790,162 +0.010053,162 +0.010139,162 +0.010015,162 +0.010101,162 +0.010225,162 +0.009966,162 +0.010188,162 +0.010130,162 +0.010811,162 +0.011149,162 +0.010074,162 +0.010151,162 +0.010192,162 +0.009983,162 +0.010172,162 +0.010086,162 +0.010313,162 +0.010065,162 +0.011288,162 +0.010595,162 +0.010108,162 +0.010117,162 +0.010081,162 +0.010025,162 +0.010051,162 +0.010062,162 +0.009960,162 +0.010127,162 +0.012434,162 +0.010552,162 +0.010108,162 +0.010048,162 +0.010067,162 +0.010161,162 +0.010022,162 +0.010066,162 +0.009953,162 +0.010138,162 +0.011683,162 +0.010006,162 +0.010122,162 +0.010041,162 +0.010038,162 +0.010052,162 +0.009980,162 +0.010051,162 +0.010021,162 +0.010381,162 +0.011370,162 +0.010045,162 +0.010075,162 +0.010103,162 +0.010161,162 +0.010138,162 +0.010413,164 +0.010478,164 +0.010468,164 +0.011700,164 +0.011035,164 +0.010514,164 +0.010441,164 +0.010456,164 +0.010483,164 +0.010397,164 +0.010585,164 +0.010424,164 +0.010495,164 +0.012097,164 +0.010512,164 +0.010464,164 +0.010491,164 +0.010400,164 +0.010487,164 +0.010544,164 +0.010423,164 +0.010437,164 +0.012053,164 +0.010544,164 +0.010522,164 +0.010433,164 +0.010460,164 +0.010495,164 +0.010396,164 +0.010457,164 +0.010480,164 +0.010995,164 +0.011689,164 +0.010565,164 +0.010388,164 +0.010465,164 +0.010401,164 +0.010423,164 +0.010470,164 +0.010378,164 +0.010484,164 +0.012143,164 +0.010831,164 +0.010480,164 +0.010462,164 +0.010407,164 +0.010435,164 +0.010439,164 +0.010430,164 +0.010510,164 +0.011330,164 +0.011362,164 +0.010723,164 +0.010432,164 +0.010464,164 +0.010741,164 +0.010533,164 +0.010585,164 +0.010826,164 +0.010397,164 +0.011904,164 +0.010379,164 +0.010397,164 +0.010446,164 +0.010295,164 +0.010390,164 +0.010363,164 +0.010311,164 +0.010359,164 +0.012203,164 +0.011248,164 +0.010458,164 +0.010732,164 +0.010783,164 +0.010587,164 +0.010392,164 +0.010336,164 +0.010346,164 +0.010453,164 +0.011919,164 +0.010390,164 +0.010326,164 +0.010369,164 +0.010723,164 +0.010331,164 +0.010576,164 +0.010334,164 +0.010446,164 +0.011779,164 +0.010543,164 +0.010437,164 +0.010399,164 +0.010404,164 +0.010340,164 +0.010328,164 +0.010594,164 +0.010360,164 +0.010354,164 +0.012024,164 +0.010405,164 +0.010744,166 +0.010745,166 +0.010723,166 +0.010712,166 +0.010866,166 +0.010727,166 +0.010759,166 +0.012288,166 +0.010952,166 +0.010841,166 +0.010858,166 +0.010729,166 +0.010668,166 +0.010714,166 +0.010732,166 +0.010707,166 +0.012446,166 +0.010702,166 +0.010806,166 +0.010861,166 +0.010752,166 +0.010744,166 +0.010715,166 +0.010670,166 +0.010739,166 +0.011991,166 +0.010997,166 +0.010792,166 +0.010768,166 +0.010704,166 +0.010760,166 +0.010717,166 +0.010701,166 +0.010783,166 +0.011691,166 +0.011293,166 +0.010739,166 +0.010756,166 +0.010708,166 +0.010774,166 +0.010693,166 +0.010799,166 +0.010777,166 +0.010820,166 +0.012218,166 +0.010780,166 +0.010711,166 +0.010703,166 +0.010750,166 +0.010693,166 +0.012657,166 +0.010827,166 +0.011021,166 +0.012073,166 +0.010826,166 +0.010750,166 +0.010721,166 +0.010735,166 +0.010689,166 +0.010798,166 +0.010740,166 +0.010746,166 +0.013313,166 +0.010825,166 +0.010754,166 +0.010796,166 +0.010818,166 +0.010668,166 +0.010738,166 +0.010805,166 +0.010845,166 +0.012153,166 +0.010795,166 +0.010743,166 +0.010758,166 +0.010742,166 +0.010670,166 +0.010774,166 +0.010884,166 +0.010697,166 +0.012186,166 +0.010813,166 +0.010782,166 +0.010716,166 +0.010772,166 +0.010932,166 +0.010732,166 +0.010799,166 +0.010905,166 +0.012334,166 +0.011287,166 +0.010728,166 +0.010781,166 +0.010719,166 +0.010703,166 +0.010891,166 +0.010675,166 +0.010746,166 +0.011915,166 +0.011197,166 +0.011188,168 +0.011176,168 +0.011134,168 +0.011091,168 +0.011122,168 +0.011091,168 +0.011333,168 +0.012676,168 +0.011323,168 +0.011132,168 +0.011158,168 +0.011182,168 +0.011040,168 +0.011103,168 +0.011119,168 +0.011032,168 +0.012494,168 +0.011247,168 +0.011090,168 +0.011127,168 +0.011116,168 +0.011033,168 +0.011132,168 +0.011111,168 +0.011323,168 +0.012560,168 +0.011198,168 +0.011052,168 +0.011112,168 +0.011170,168 +0.011056,168 +0.011182,168 +0.011106,168 +0.011096,168 +0.012608,168 +0.011202,168 +0.011168,168 +0.011096,168 +0.011665,168 +0.011273,168 +0.011239,168 +0.011162,168 +0.011810,168 +0.013018,168 +0.011296,168 +0.013346,168 +0.011301,168 +0.011328,168 +0.011371,168 +0.011118,168 +0.011642,168 +0.013363,168 +0.012294,168 +0.011239,168 +0.011365,168 +0.011286,168 +0.011206,168 +0.011182,168 +0.011193,168 +0.011358,168 +0.012980,168 +0.011323,168 +0.011290,168 +0.011096,168 +0.011324,168 +0.011231,168 +0.011120,168 +0.011345,168 +0.011328,168 +0.013012,168 +0.011295,168 +0.011217,168 +0.011203,168 +0.011287,168 +0.011296,168 +0.011253,168 +0.011104,168 +0.012233,168 +0.012366,168 +0.011131,168 +0.011286,168 +0.011339,168 +0.011209,168 +0.011334,168 +0.011235,168 +0.011186,168 +0.012163,168 +0.011562,168 +0.011245,168 +0.011236,168 +0.011327,168 +0.011180,168 +0.011227,168 +0.011246,168 +0.011389,168 +0.011467,168 +0.011451,168 +0.011252,168 +0.011184,168 +0.011440,168 +0.011803,170 +0.011633,170 +0.011754,170 +0.011733,170 +0.012118,170 +0.011671,170 +0.011704,170 +0.011708,170 +0.011543,170 +0.011757,170 +0.011879,170 +0.012707,170 +0.012234,170 +0.012154,170 +0.012029,170 +0.011819,170 +0.011794,170 +0.011707,170 +0.011739,170 +0.011616,170 +0.011782,170 +0.011894,170 +0.011620,170 +0.011676,170 +0.011737,170 +0.011665,170 +0.013483,170 +0.011864,170 +0.011862,170 +0.011783,170 +0.011887,170 +0.011690,170 +0.011598,170 +0.011614,170 +0.011786,170 +0.011668,170 +0.011574,170 +0.011753,170 +0.012154,170 +0.011741,170 +0.011661,170 +0.011731,170 +0.011587,170 +0.011728,170 +0.011885,170 +0.012014,170 +0.011749,170 +0.012165,170 +0.011731,170 +0.011691,170 +0.011632,170 +0.011787,170 +0.011654,170 +0.011534,170 +0.011671,170 +0.012229,170 +0.011720,170 +0.011710,170 +0.011681,170 +0.011628,170 +0.011850,170 +0.012076,170 +0.012006,170 +0.011998,170 +0.012166,170 +0.011650,170 +0.011619,170 +0.013339,170 +0.011921,170 +0.011944,170 +0.011613,170 +0.012039,170 +0.012333,170 +0.011874,170 +0.011528,170 +0.011718,170 +0.012276,170 +0.011680,170 +0.011720,170 +0.011750,170 +0.011871,170 +0.011891,170 +0.011765,170 +0.011748,170 +0.012251,170 +0.012336,170 +0.011824,170 +0.011639,170 +0.011552,170 +0.012302,170 +0.011869,170 +0.011699,170 +0.011653,170 +0.011691,170 +0.011702,170 +0.011613,170 +0.011693,170 +0.011867,170 +0.011884,170 +0.011810,170 +0.012074,172 +0.011974,172 +0.012033,172 +0.012139,172 +0.012091,172 +0.012195,172 +0.012515,172 +0.012144,172 +0.012095,172 +0.011989,172 +0.012052,172 +0.012197,172 +0.011944,172 +0.012017,172 +0.012634,172 +0.012185,172 +0.012032,172 +0.011984,172 +0.011944,172 +0.011948,172 +0.012013,172 +0.012059,172 +0.012414,172 +0.012556,172 +0.012083,172 +0.012123,172 +0.012035,172 +0.011958,172 +0.012100,172 +0.012146,172 +0.012187,172 +0.012415,172 +0.012021,172 +0.012361,172 +0.012271,172 +0.012159,172 +0.012322,172 +0.012592,172 +0.012602,172 +0.017974,172 +0.012685,172 +0.012590,172 +0.012584,172 +0.013232,172 +0.012474,172 +0.013220,172 +0.012502,172 +0.013119,172 +0.014392,172 +0.013448,172 +0.013295,172 +0.012219,172 +0.013097,172 +0.012303,172 +0.012687,172 +0.012114,172 +0.012033,172 +0.012130,172 +0.012114,172 +0.012187,172 +0.012298,172 +0.012147,172 +0.013105,172 +0.012013,172 +0.012057,172 +0.011979,172 +0.011942,172 +0.011856,172 +0.011861,172 +0.011924,172 +0.012072,172 +0.012259,172 +0.011844,172 +0.011881,172 +0.011843,172 +0.011926,172 +0.011862,172 +0.012586,172 +0.012893,172 +0.012599,172 +0.012343,172 +0.012339,172 +0.012494,172 +0.013816,172 +0.013387,172 +0.012774,172 +0.012310,172 +0.012798,172 +0.012672,172 +0.012516,172 +0.013154,172 +0.013189,172 +0.013596,172 +0.013207,172 +0.012189,172 +0.012599,172 +0.012129,172 +0.011997,172 +0.011920,172 +0.011909,172 +0.012384,174 +0.012414,174 +0.012323,174 +0.012920,174 +0.012416,174 +0.012512,174 +0.012308,174 +0.012340,174 +0.012355,174 +0.012403,174 +0.012300,174 +0.012744,174 +0.012276,174 +0.012355,174 +0.012279,174 +0.012386,174 +0.012333,174 +0.012360,174 +0.012270,174 +0.012730,174 +0.012328,174 +0.012354,174 +0.012453,174 +0.012383,174 +0.012623,174 +0.012689,174 +0.012315,174 +0.012723,174 +0.012302,174 +0.012564,174 +0.012282,174 +0.012302,174 +0.012277,174 +0.012412,174 +0.012272,174 +0.012768,174 +0.012377,174 +0.012371,174 +0.012361,174 +0.013034,174 +0.012987,174 +0.012628,174 +0.013998,174 +0.013698,174 +0.014008,174 +0.013889,174 +0.013980,174 +0.013791,174 +0.013426,174 +0.013223,174 +0.013151,174 +0.013028,174 +0.012541,174 +0.012331,174 +0.012293,174 +0.012333,174 +0.012407,174 +0.012313,174 +0.012564,174 +0.012576,174 +0.012471,174 +0.012335,174 +0.012304,174 +0.012388,174 +0.012524,174 +0.012404,174 +0.012559,174 +0.012668,174 +0.012388,174 +0.012343,174 +0.012292,174 +0.012377,174 +0.012352,174 +0.012424,174 +0.012519,174 +0.012774,174 +0.012341,174 +0.012310,174 +0.012281,174 +0.012314,174 +0.012306,174 +0.012409,174 +0.012421,174 +0.012911,174 +0.012366,174 +0.012398,174 +0.012284,174 +0.012317,174 +0.012333,174 +0.012430,174 +0.012790,174 +0.012808,174 +0.012425,174 +0.012461,174 +0.012323,174 +0.012311,174 +0.012329,174 +0.012341,174 +0.012318,174 +0.012892,174 +0.012960,176 +0.012683,176 +0.012958,176 +0.012756,176 +0.012903,176 +0.015272,176 +0.013608,176 +0.013179,176 +0.012783,176 +0.012762,176 +0.012756,176 +0.013141,176 +0.012996,176 +0.012790,176 +0.013298,176 +0.012712,176 +0.012703,176 +0.012714,176 +0.012706,176 +0.012737,176 +0.012772,176 +0.012755,176 +0.013546,176 +0.013366,176 +0.013516,176 +0.012994,176 +0.012751,176 +0.013049,176 +0.013413,176 +0.012935,176 +0.013297,176 +0.012956,176 +0.012993,176 +0.012823,176 +0.012865,176 +0.012933,176 +0.012857,176 +0.013186,176 +0.013147,176 +0.012913,176 +0.012906,176 +0.012921,176 +0.013084,176 +0.012999,176 +0.012901,176 +0.013274,176 +0.013093,176 +0.013013,176 +0.013214,176 +0.013072,176 +0.013100,176 +0.012980,176 +0.012936,176 +0.013306,176 +0.012931,176 +0.012915,176 +0.012792,176 +0.012953,176 +0.013011,176 +0.012916,176 +0.013064,176 +0.013292,176 +0.013001,176 +0.012893,176 +0.013025,176 +0.015394,176 +0.012886,176 +0.013035,176 +0.013505,176 +0.012926,176 +0.012864,176 +0.012822,176 +0.012955,176 +0.013117,176 +0.013025,176 +0.012799,176 +0.013449,176 +0.012980,176 +0.012970,176 +0.013047,176 +0.013065,176 +0.014701,176 +0.014472,176 +0.013191,176 +0.012983,176 +0.012964,176 +0.012861,176 +0.012866,176 +0.012829,176 +0.012984,176 +0.012747,176 +0.013213,176 +0.012899,176 +0.013713,176 +0.024383,176 +0.023947,176 +0.023787,176 +0.024533,176 +0.020622,176 +0.012850,176 +0.013423,178 +0.013214,178 +0.013369,178 +0.013415,178 +0.013215,178 +0.013210,178 +0.013217,178 +0.013262,178 +0.013397,178 +0.013134,178 +0.013471,178 +0.013426,178 +0.013207,178 +0.013239,178 +0.013152,178 +0.013520,178 +0.013238,178 +0.013340,178 +0.013517,178 +0.013335,178 +0.013132,178 +0.013216,178 +0.013238,178 +0.013494,178 +0.013076,178 +0.013547,178 +0.013249,178 +0.013361,178 +0.013213,178 +0.013097,178 +0.013363,178 +0.013336,178 +0.013284,178 +0.013659,178 +0.013276,178 +0.013364,178 +0.013297,178 +0.013291,178 +0.013249,178 +0.013256,178 +0.013445,178 +0.013561,178 +0.013437,178 +0.013181,178 +0.013125,178 +0.013279,178 +0.013336,178 +0.013215,178 +0.014821,178 +0.013188,178 +0.013328,178 +0.013293,178 +0.013606,178 +0.013379,178 +0.013260,178 +0.014431,178 +0.013638,178 +0.013395,178 +0.013212,178 +0.013191,178 +0.013361,178 +0.013519,178 +0.013701,178 +0.014332,178 +0.013212,178 +0.013294,178 +0.013222,178 +0.013290,178 +0.013266,178 +0.013418,178 +0.014835,178 +0.013408,178 +0.013361,178 +0.013201,178 +0.013219,178 +0.013530,178 +0.013478,178 +0.014482,178 +0.014100,178 +0.013266,178 +0.013233,178 +0.013167,178 +0.013363,178 +0.013241,178 +0.013262,178 +0.014768,178 +0.013224,178 +0.013219,178 +0.013202,178 +0.013827,178 +0.013347,178 +0.013195,178 +0.014322,178 +0.013850,178 +0.013280,178 +0.013235,178 +0.013249,178 +0.013219,178 +0.013212,178 +0.013230,178 +0.015233,180 +0.013626,180 +0.013766,180 +0.013514,180 +0.013690,180 +0.013639,180 +0.013634,180 +0.016223,180 +0.014035,180 +0.013553,180 +0.013603,180 +0.013822,180 +0.013851,180 +0.013732,180 +0.015221,180 +0.013563,180 +0.013429,180 +0.013443,180 +0.013436,180 +0.013512,180 +0.013390,180 +0.014203,180 +0.014348,180 +0.013512,180 +0.013476,180 +0.013443,180 +0.013712,180 +0.013452,180 +0.013452,180 +0.015234,180 +0.013533,180 +0.013496,180 +0.013369,180 +0.013502,180 +0.013443,180 +0.013460,180 +0.014897,180 +0.013679,180 +0.013442,180 +0.013460,180 +0.013442,180 +0.013522,180 +0.013461,180 +0.013933,180 +0.014692,180 +0.013510,180 +0.013534,180 +0.013457,180 +0.013455,180 +0.013410,180 +0.013439,180 +0.015126,180 +0.013476,180 +0.013476,180 +0.013371,180 +0.013891,180 +0.013455,180 +0.013458,180 +0.014949,180 +0.013609,180 +0.013448,180 +0.013444,180 +0.013600,180 +0.013514,180 +0.013525,180 +0.013936,180 +0.014586,180 +0.013585,180 +0.013459,180 +0.013418,180 +0.013584,180 +0.013392,180 +0.013459,180 +0.015049,180 +0.013426,180 +0.013406,180 +0.013403,180 +0.013465,180 +0.013494,180 +0.013467,180 +0.015478,180 +0.014293,180 +0.013425,180 +0.013365,180 +0.013495,180 +0.013476,180 +0.013442,180 +0.013944,180 +0.014480,180 +0.013447,180 +0.013480,180 +0.013425,180 +0.013722,180 +0.013414,180 +0.013474,180 +0.015276,180 +0.013472,180 +0.013435,180 +0.013424,180 +0.013643,180 +0.013902,182 +0.013907,182 +0.015443,182 +0.014029,182 +0.013959,182 +0.013974,182 +0.014015,182 +0.013872,182 +0.013870,182 +0.015263,182 +0.014036,182 +0.013872,182 +0.013946,182 +0.013903,182 +0.014017,182 +0.013900,182 +0.015056,182 +0.017820,182 +0.014901,182 +0.013865,182 +0.013997,182 +0.013866,182 +0.014549,182 +0.019217,182 +0.013981,182 +0.013916,182 +0.013907,182 +0.013986,182 +0.013927,182 +0.013883,182 +0.019150,182 +0.013907,182 +0.013926,182 +0.013915,182 +0.013980,182 +0.013910,182 +0.013977,182 +0.020017,182 +0.014346,182 +0.013972,182 +0.013997,182 +0.013899,182 +0.013899,182 +0.014963,182 +0.018291,182 +0.013958,182 +0.013986,182 +0.013974,182 +0.013918,182 +0.013935,182 +0.016002,182 +0.017890,182 +0.014267,182 +0.014013,182 +0.014023,182 +0.013904,182 +0.013822,182 +0.019177,182 +0.014132,182 +0.013980,182 +0.014011,182 +0.014188,182 +0.013923,182 +0.013921,182 +0.020269,182 +0.014097,182 +0.014227,182 +0.014711,182 +0.014058,182 +0.013927,182 +0.014158,182 +0.019033,182 +0.013974,182 +0.013980,182 +0.013983,182 +0.013825,182 +0.013902,182 +0.016214,182 +0.017030,182 +0.013948,182 +0.013924,182 +0.014053,182 +0.013955,182 +0.013969,182 +0.018330,182 +0.014625,182 +0.013950,182 +0.013899,182 +0.013992,182 +0.013903,182 +0.013896,182 +0.019139,182 +0.014123,182 +0.013892,182 +0.014028,182 +0.013953,182 +0.013911,182 +0.013905,182 +0.019032,182 +0.013962,182 +0.014479,184 +0.014455,184 +0.014369,184 +0.014412,184 +0.014929,184 +0.019210,184 +0.014443,184 +0.014334,184 +0.014386,184 +0.014356,184 +0.014315,184 +0.019437,184 +0.014461,184 +0.014292,184 +0.014367,184 +0.014483,184 +0.014369,184 +0.014329,184 +0.020059,184 +0.014497,184 +0.014341,184 +0.014386,184 +0.014289,184 +0.014306,184 +0.016362,184 +0.017521,184 +0.014389,184 +0.014344,184 +0.014387,184 +0.014368,184 +0.014352,184 +0.019472,184 +0.014474,184 +0.014347,184 +0.015075,184 +0.014360,184 +0.014348,184 +0.014399,184 +0.019423,184 +0.014507,184 +0.014438,184 +0.014416,184 +0.014332,184 +0.015185,184 +0.019410,184 +0.016408,184 +0.015864,184 +0.015536,184 +0.014972,184 +0.015582,184 +0.027270,184 +0.018104,184 +0.015220,184 +0.016124,184 +0.014965,184 +0.014821,184 +0.014793,184 +0.014504,184 +0.014466,184 +0.014458,184 +0.014914,184 +0.014509,184 +0.014484,184 +0.014877,184 +0.014463,184 +0.014389,184 +0.014486,184 +0.014340,184 +0.014570,184 +0.014492,184 +0.014879,184 +0.014335,184 +0.014371,184 +0.014412,184 +0.014258,184 +0.015139,184 +0.014796,184 +0.015086,184 +0.015209,184 +0.014670,184 +0.014514,184 +0.014402,184 +0.014345,184 +0.014389,184 +0.015136,184 +0.014319,184 +0.014330,184 +0.014358,184 +0.014303,184 +0.014298,184 +0.014372,184 +0.014798,184 +0.014356,184 +0.014343,184 +0.014388,184 +0.014325,184 +0.014326,184 +0.014415,184 +0.014743,184 +0.014389,184 +0.015259,186 +0.015109,186 +0.014963,186 +0.015024,186 +0.015551,186 +0.015172,186 +0.015104,186 +0.015000,186 +0.014967,186 +0.014994,186 +0.015068,186 +0.025382,186 +0.029037,186 +0.015744,186 +0.022137,186 +0.015311,186 +0.015295,186 +0.014945,186 +0.014972,186 +0.015185,186 +0.015195,186 +0.014981,186 +0.015459,186 +0.014972,186 +0.014958,186 +0.015054,186 +0.014974,186 +0.014953,186 +0.014940,186 +0.015495,186 +0.015012,186 +0.015054,186 +0.015140,186 +0.015008,186 +0.015085,186 +0.015402,186 +0.015411,186 +0.015059,186 +0.015014,186 +0.015397,186 +0.015012,186 +0.014989,186 +0.015490,186 +0.015117,186 +0.015029,186 +0.015152,186 +0.015804,186 +0.014965,186 +0.015016,186 +0.015574,186 +0.014951,186 +0.014957,186 +0.015062,186 +0.015000,186 +0.015073,186 +0.015221,186 +0.015300,186 +0.014961,186 +0.015027,186 +0.014961,186 +0.014952,186 +0.014975,186 +0.015491,186 +0.015028,186 +0.015032,186 +0.015069,186 +0.014967,186 +0.014969,186 +0.015113,186 +0.015516,186 +0.014974,186 +0.014906,186 +0.015022,186 +0.014984,186 +0.014992,186 +0.015205,186 +0.015358,186 +0.014973,186 +0.015069,186 +0.015046,186 +0.014976,186 +0.015026,186 +0.015461,186 +0.014995,186 +0.014958,186 +0.015029,186 +0.015035,186 +0.014989,186 +0.014946,186 +0.015537,186 +0.018234,186 +0.016711,186 +0.015068,186 +0.015017,186 +0.015000,186 +0.015504,186 +0.014981,186 +0.015016,186 +0.015108,186 +0.015070,186 +0.015702,188 +0.015573,188 +0.016011,188 +0.015475,188 +0.015665,188 +0.015472,188 +0.015559,188 +0.015475,188 +0.015965,188 +0.015482,188 +0.015496,188 +0.015608,188 +0.015600,188 +0.015478,188 +0.015600,188 +0.016119,188 +0.015570,188 +0.015585,188 +0.015472,188 +0.015473,188 +0.015478,188 +0.016057,188 +0.015521,188 +0.015449,188 +0.015591,188 +0.015474,188 +0.015849,188 +0.021293,188 +0.029933,188 +0.029273,188 +0.029209,188 +0.029517,188 +0.029054,188 +0.029225,188 +0.029937,188 +0.029164,188 +0.028743,188 +0.028933,188 +0.029663,188 +0.028790,188 +0.029312,188 +0.029178,188 +0.029934,188 +0.029684,188 +0.029071,188 +0.029666,188 +0.029133,188 +0.029237,188 +0.029800,188 +0.029108,188 +0.029052,188 +0.029270,188 +0.029256,188 +0.029173,188 +0.029406,188 +0.029462,188 +0.029302,188 +0.029582,188 +0.032099,188 +0.029381,188 +0.029352,188 +0.030201,188 +0.025227,188 +0.017845,188 +0.016191,188 +0.016249,188 +0.016641,188 +0.017521,188 +0.016085,188 +0.016326,188 +0.016309,188 +0.016209,188 +0.016283,188 +0.021234,188 +0.015879,188 +0.015915,188 +0.015630,188 +0.015712,188 +0.015935,188 +0.020878,188 +0.016506,188 +0.015879,188 +0.015805,188 +0.015917,188 +0.015749,188 +0.020783,188 +0.015975,188 +0.015752,188 +0.015739,188 +0.015889,188 +0.015739,188 +0.020795,188 +0.015937,188 +0.015899,188 +0.015682,188 +0.017630,188 +0.015786,188 +0.016189,188 +0.015989,188 +0.015832,188 +0.016330,190 +0.016433,190 +0.016326,190 +0.016356,190 +0.016731,190 +0.016684,190 +0.016410,190 +0.016675,190 +0.016609,190 +0.016545,190 +0.016663,190 +0.016281,190 +0.016178,190 +0.016171,190 +0.016348,190 +0.016273,190 +0.016541,190 +0.016366,190 +0.016309,190 +0.016257,190 +0.016565,190 +0.016389,190 +0.016721,190 +0.016352,190 +0.016311,190 +0.016366,190 +0.016356,190 +0.016395,190 +0.016891,190 +0.016458,190 +0.016458,190 +0.016651,190 +0.016730,190 +0.016754,190 +0.017093,190 +0.016874,190 +0.016853,190 +0.017064,190 +0.017028,190 +0.023721,190 +0.018242,190 +0.017103,190 +0.017085,190 +0.016747,190 +0.016366,190 +0.016701,190 +0.016568,190 +0.016367,190 +0.016247,190 +0.016355,190 +0.016363,190 +0.016749,190 +0.016560,190 +0.016463,190 +0.016335,190 +0.016366,190 +0.016223,190 +0.016496,190 +0.016825,190 +0.016327,190 +0.016257,190 +0.016236,190 +0.016298,190 +0.016230,190 +0.016841,190 +0.016357,190 +0.016425,190 +0.016208,190 +0.016314,190 +0.016231,190 +0.016985,190 +0.016357,190 +0.016317,190 +0.016216,190 +0.016243,190 +0.016221,190 +0.016878,190 +0.016325,190 +0.016272,190 +0.016287,190 +0.016271,190 +0.016204,190 +0.017171,190 +0.016317,190 +0.016377,190 +0.016395,190 +0.016442,190 +0.016784,190 +0.017779,190 +0.016077,190 +0.016126,190 +0.016031,190 +0.015989,190 +0.016613,190 +0.016412,190 +0.016562,190 +0.016252,190 +0.016061,190 +0.016037,190 +0.016055,190 +0.017758,192 +0.018130,192 +0.017835,192 +0.017625,192 +0.017569,192 +0.017560,192 +0.018093,192 +0.017590,192 +0.017646,192 +0.017595,192 +0.017589,192 +0.017593,192 +0.018053,192 +0.017857,192 +0.017576,192 +0.018595,192 +0.018000,192 +0.017856,192 +0.017902,192 +0.017668,192 +0.017556,192 +0.017600,192 +0.017589,192 +0.018096,192 +0.017726,192 +0.017848,192 +0.018263,192 +0.018465,192 +0.018469,192 +0.019493,192 +0.019087,192 +0.018881,192 +0.019300,192 +0.018882,192 +0.020475,192 +0.018907,192 +0.018425,192 +0.018675,192 +0.018796,192 +0.019180,192 +0.018455,192 +0.018796,192 +0.019406,192 +0.018863,192 +0.019209,192 +0.019241,192 +0.018335,192 +0.018386,192 +0.018598,192 +0.021133,192 +0.019768,192 +0.019792,192 +0.019381,192 +0.019887,192 +0.019157,192 +0.019405,192 +0.019352,192 +0.018494,192 +0.018213,192 +0.018221,192 +0.018205,192 +0.018568,192 +0.018134,192 +0.017751,192 +0.017784,192 +0.017656,192 +0.018212,192 +0.017853,192 +0.017730,192 +0.017663,192 +0.017586,192 +0.017701,192 +0.017985,192 +0.017648,192 +0.017545,192 +0.017614,192 +0.017532,192 +0.018059,192 +0.017754,192 +0.017547,192 +0.018010,192 +0.017615,192 +0.017596,192 +0.018172,192 +0.017703,192 +0.017613,192 +0.017505,192 +0.017577,192 +0.017640,192 +0.018077,192 +0.017675,192 +0.017876,192 +0.017800,192 +0.017545,192 +0.018172,192 +0.017663,192 +0.017645,192 +0.017551,192 +0.017570,192 +0.017639,192 +0.017723,194 +0.017201,194 +0.017217,194 +0.017284,194 +0.017187,194 +0.017117,194 +0.017673,194 +0.017179,194 +0.017058,194 +0.017121,194 +0.017032,194 +0.017173,194 +0.017470,194 +0.017173,194 +0.017038,194 +0.017035,194 +0.017031,194 +0.017312,194 +0.017448,194 +0.017117,194 +0.017095,194 +0.017161,194 +0.017030,194 +0.017458,194 +0.017410,194 +0.017029,194 +0.017090,194 +0.017150,194 +0.017056,194 +0.017628,194 +0.017249,194 +0.017056,194 +0.017107,194 +0.017040,194 +0.017043,194 +0.017798,194 +0.017358,194 +0.018198,194 +0.018354,194 +0.018124,194 +0.019318,194 +0.019823,194 +0.018403,194 +0.018274,194 +0.017861,194 +0.017662,194 +0.017762,194 +0.017314,194 +0.017294,194 +0.017188,194 +0.017390,194 +0.017211,194 +0.017584,194 +0.017199,194 +0.017207,194 +0.017087,194 +0.017136,194 +0.017488,194 +0.017390,194 +0.017213,194 +0.017064,194 +0.017075,194 +0.017029,194 +0.017756,194 +0.018961,194 +0.017272,194 +0.017127,194 +0.017087,194 +0.017077,194 +0.017945,194 +0.017222,194 +0.017054,194 +0.017034,194 +0.017032,194 +0.017027,194 +0.017971,194 +0.017141,194 +0.017032,194 +0.017031,194 +0.017031,194 +0.017108,194 +0.017596,194 +0.017183,194 +0.017266,194 +0.017126,194 +0.017049,194 +0.017203,194 +0.017470,194 +0.017219,194 +0.017033,194 +0.017059,194 +0.017057,194 +0.017218,194 +0.017503,194 +0.017104,194 +0.017073,194 +0.017095,194 +0.017032,194 +0.017256,194 +0.017648,194 +0.017649,196 +0.017528,196 +0.017527,196 +0.017525,196 +0.017969,196 +0.017686,196 +0.017538,196 +0.017524,196 +0.017531,196 +0.019247,196 +0.020003,196 +0.019093,196 +0.018780,196 +0.018794,196 +0.017793,196 +0.018126,196 +0.017694,196 +0.017561,196 +0.017558,196 +0.017488,196 +0.017509,196 +0.018199,196 +0.017556,196 +0.017535,196 +0.017544,196 +0.017471,196 +0.017794,196 +0.017866,196 +0.017479,196 +0.017464,196 +0.017628,196 +0.017493,196 +0.018101,196 +0.017621,196 +0.017466,196 +0.017535,196 +0.017462,196 +0.017503,196 +0.018121,196 +0.017712,196 +0.017655,196 +0.017517,196 +0.017495,196 +0.017710,196 +0.017903,196 +0.017532,196 +0.017483,196 +0.017467,196 +0.017495,196 +0.018009,196 +0.017698,196 +0.017549,196 +0.017547,196 +0.017500,196 +0.017464,196 +0.018189,196 +0.017632,196 +0.017809,196 +0.017598,196 +0.017607,196 +0.017754,196 +0.017993,196 +0.017522,196 +0.017505,196 +0.017483,196 +0.017663,196 +0.018069,196 +0.017601,196 +0.017471,196 +0.017477,196 +0.017527,196 +0.017463,196 +0.018090,196 +0.017821,196 +0.017606,196 +0.017499,196 +0.017503,196 +0.017560,196 +0.018135,196 +0.017621,196 +0.017612,196 +0.017501,196 +0.017469,196 +0.018569,196 +0.017776,196 +0.017502,196 +0.017464,196 +0.017463,196 +0.017467,196 +0.018028,196 +0.017664,196 +0.018535,196 +0.020325,196 +0.018020,196 +0.018523,196 +0.018185,196 +0.017650,196 +0.017807,196 +0.019012,196 +0.019560,196 +0.021297,198 +0.018879,198 +0.019415,198 +0.018237,198 +0.018151,198 +0.018833,198 +0.018286,198 +0.018125,198 +0.018174,198 +0.018090,198 +0.018107,198 +0.018952,198 +0.018206,198 +0.018143,198 +0.018094,198 +0.018124,198 +0.023542,198 +0.018220,198 +0.018218,198 +0.018148,198 +0.018384,198 +0.022983,198 +0.018703,198 +0.018196,198 +0.018158,198 +0.018113,198 +0.019203,198 +0.022723,198 +0.018422,198 +0.018436,198 +0.018288,198 +0.018514,198 +0.023999,198 +0.018266,198 +0.018654,198 +0.018360,198 +0.018278,198 +0.023968,198 +0.018381,198 +0.018400,198 +0.018328,198 +0.018368,198 +0.024078,198 +0.018356,198 +0.018515,198 +0.018419,198 +0.018498,198 +0.024293,198 +0.020207,198 +0.018954,198 +0.018380,198 +0.018465,198 +0.024021,198 +0.018793,198 +0.018296,198 +0.018294,198 +0.018455,198 +0.021622,198 +0.025022,198 +0.019093,198 +0.018406,198 +0.018466,198 +0.020783,198 +0.022209,198 +0.018543,198 +0.018451,198 +0.018320,198 +0.020868,198 +0.021467,198 +0.018890,198 +0.018451,198 +0.018416,198 +0.018991,198 +0.023501,198 +0.018466,198 +0.018396,198 +0.018622,198 +0.018818,198 +0.019036,198 +0.018999,198 +0.018954,198 +0.018368,198 +0.018850,198 +0.019231,198 +0.018180,198 +0.018262,198 +0.018089,198 +0.018069,198 +0.018296,198 +0.018660,198 +0.018183,198 +0.018072,198 +0.018069,198 +0.018087,198 +0.018824,198 +0.018486,198 +0.018444,198 +0.018565,198 +0.018482,198 +0.018686,198 +0.019614,200 +0.018985,200 +0.018951,200 +0.019013,200 +0.018900,200 +0.019752,200 +0.018977,200 +0.018916,200 +0.019042,200 +0.019185,200 +0.019620,200 +0.019126,200 +0.019041,200 +0.019046,200 +0.019005,200 +0.019648,200 +0.019398,200 +0.018984,200 +0.018921,200 +0.019097,200 +0.019108,200 +0.019361,200 +0.018982,200 +0.018946,200 +0.018984,200 +0.019093,200 +0.019620,200 +0.018948,200 +0.018868,200 +0.018854,200 +0.018931,200 +0.019449,200 +0.019022,200 +0.019014,200 +0.018844,200 +0.018885,200 +0.019446,200 +0.019151,200 +0.019011,200 +0.018906,200 +0.018898,200 +0.018926,200 +0.019673,200 +0.018902,200 +0.018821,200 +0.018833,200 +0.018963,200 +0.019687,200 +0.019112,200 +0.019051,200 +0.018897,200 +0.019042,200 +0.019607,200 +0.019062,200 +0.018903,200 +0.018925,200 +0.018920,200 +0.019317,200 +0.019451,200 +0.018919,200 +0.019014,200 +0.018887,200 +0.019028,200 +0.020660,200 +0.019032,200 +0.018857,200 +0.019030,200 +0.019124,200 +0.022260,200 +0.019522,200 +0.019082,200 +0.019479,200 +0.018689,200 +0.020167,200 +0.018665,200 +0.018714,200 +0.019436,200 +0.018740,200 +0.020238,200 +0.018807,200 +0.018606,200 +0.018601,200 +0.018634,200 +0.019663,200 +0.019381,200 +0.018664,200 +0.018644,200 +0.018625,200 +0.018611,200 +0.020134,200 +0.018772,200 +0.018611,200 +0.018597,200 +0.018606,200 +0.020143,200 +0.018630,200 +0.018587,200 +0.018580,200 +0.018601,200 +0.019625,200 +0.019955,202 +0.019270,202 +0.019276,202 +0.019466,202 +0.020023,202 +0.020513,202 +0.019293,202 +0.019209,202 +0.019191,202 +0.019206,202 +0.020959,202 +0.019258,202 +0.019271,202 +0.019220,202 +0.019201,202 +0.020855,202 +0.019424,202 +0.019376,202 +0.019329,202 +0.019204,202 +0.022095,202 +0.019331,202 +0.019276,202 +0.019260,202 +0.019274,202 +0.020895,202 +0.019298,202 +0.019362,202 +0.019265,202 +0.019339,202 +0.020935,202 +0.019314,202 +0.019344,202 +0.019257,202 +0.019289,202 +0.020819,202 +0.019280,202 +0.019256,202 +0.019269,202 +0.019241,202 +0.020638,202 +0.019632,202 +0.019357,202 +0.019642,202 +0.019539,202 +0.020262,202 +0.020131,202 +0.019248,202 +0.019233,202 +0.019343,202 +0.019285,202 +0.020917,202 +0.019276,202 +0.019215,202 +0.019297,202 +0.019431,202 +0.021968,202 +0.019440,202 +0.019328,202 +0.019243,202 +0.019206,202 +0.019737,202 +0.019363,202 +0.019230,202 +0.019292,202 +0.019199,202 +0.020305,202 +0.019640,202 +0.019347,202 +0.019220,202 +0.019197,202 +0.019628,202 +0.019511,202 +0.019280,202 +0.019240,202 +0.019250,202 +0.019447,202 +0.020550,202 +0.019445,202 +0.019274,202 +0.019406,202 +0.019407,202 +0.019588,202 +0.019275,202 +0.019281,202 +0.019254,202 +0.019371,202 +0.019940,202 +0.019374,202 +0.019312,202 +0.019333,202 +0.019288,202 +0.019764,202 +0.019403,202 +0.019297,202 +0.019224,202 +0.019246,202 +0.019714,202 +0.019373,202 +0.019290,202 +0.020346,204 +0.019918,204 +0.020338,204 +0.019947,204 +0.019849,204 +0.019833,204 +0.020035,204 +0.020295,204 +0.019921,204 +0.019865,204 +0.019769,204 +0.019774,204 +0.020104,204 +0.020178,204 +0.019959,204 +0.019820,204 +0.019834,204 +0.020111,204 +0.020052,204 +0.019878,204 +0.019775,204 +0.019783,204 +0.020072,204 +0.020188,204 +0.019887,204 +0.019811,204 +0.019828,204 +0.020040,204 +0.020067,204 +0.020056,204 +0.019794,204 +0.019855,204 +0.020051,204 +0.020079,204 +0.019893,204 +0.019762,204 +0.019778,204 +0.019882,204 +0.020157,204 +0.019869,204 +0.020606,204 +0.020034,204 +0.020459,204 +0.020252,204 +0.019838,204 +0.019776,204 +0.019760,204 +0.019930,204 +0.020156,204 +0.019840,204 +0.019778,204 +0.019795,204 +0.019914,204 +0.020118,204 +0.019836,204 +0.019809,204 +0.019894,204 +0.019863,204 +0.020166,204 +0.019825,204 +0.019781,204 +0.019731,204 +0.019851,204 +0.020210,204 +0.019788,204 +0.019774,204 +0.019908,204 +0.019780,204 +0.020163,204 +0.019885,204 +0.019818,204 +0.019725,204 +0.019835,204 +0.020265,204 +0.019733,204 +0.019779,204 +0.019784,204 +0.019784,204 +0.020236,204 +0.020084,204 +0.019783,204 +0.019811,204 +0.019831,204 +0.020212,204 +0.019767,204 +0.019805,204 +0.019774,204 +0.019814,204 +0.020358,204 +0.019773,204 +0.019830,204 +0.019771,204 +0.019804,204 +0.020233,204 +0.019854,204 +0.019767,204 +0.019772,204 +0.019890,204 +0.020138,204 +0.019739,204 +0.020474,206 +0.021390,206 +0.020503,206 +0.020879,206 +0.020554,206 +0.020528,206 +0.020522,206 +0.020726,206 +0.020909,206 +0.020593,206 +0.020475,206 +0.020340,206 +0.020749,206 +0.021044,206 +0.020424,206 +0.020461,206 +0.020456,206 +0.020496,206 +0.020875,206 +0.020437,206 +0.020355,206 +0.020425,206 +0.020503,206 +0.020988,206 +0.020476,206 +0.020374,206 +0.020402,206 +0.020521,206 +0.020866,206 +0.020498,206 +0.020491,206 +0.020461,206 +0.020494,206 +0.020731,206 +0.020377,206 +0.020408,206 +0.020478,206 +0.020558,206 +0.020627,206 +0.020435,206 +0.020376,206 +0.020436,206 +0.020589,206 +0.020674,206 +0.020367,206 +0.020386,206 +0.020430,206 +0.020825,206 +0.020477,206 +0.020425,206 +0.020371,206 +0.020455,206 +0.020832,206 +0.020454,206 +0.020433,206 +0.020450,206 +0.020546,206 +0.020845,206 +0.020509,206 +0.020404,206 +0.020361,206 +0.020545,206 +0.020790,206 +0.020547,206 +0.020483,206 +0.020445,206 +0.020497,206 +0.021000,206 +0.020620,206 +0.020432,206 +0.020507,206 +0.020377,206 +0.021019,206 +0.020574,206 +0.020587,206 +0.020427,206 +0.020517,206 +0.021153,206 +0.020512,206 +0.021221,206 +0.020608,206 +0.020599,206 +0.020907,206 +0.020395,206 +0.020442,206 +0.020490,206 +0.020755,206 +0.020848,206 +0.020516,206 +0.020425,206 +0.020515,206 +0.021067,206 +0.020579,206 +0.020578,206 +0.020460,206 +0.020519,206 +0.020952,206 +0.020452,206 +0.020415,206 +0.020555,206 +0.020937,208 +0.021447,208 +0.021110,208 +0.021063,208 +0.021080,208 +0.021059,208 +0.021476,208 +0.021106,208 +0.020988,208 +0.021031,208 +0.021058,208 +0.021473,208 +0.020970,208 +0.020922,208 +0.021063,208 +0.021414,208 +0.021251,208 +0.020921,208 +0.021078,208 +0.020971,208 +0.021575,208 +0.021036,208 +0.021007,208 +0.021015,208 +0.021137,208 +0.021794,208 +0.021007,208 +0.021026,208 +0.021033,208 +0.021063,208 +0.021563,208 +0.021013,208 +0.020908,208 +0.021028,208 +0.021103,208 +0.021375,208 +0.020978,208 +0.021054,208 +0.020989,208 +0.021518,208 +0.020965,208 +0.020957,208 +0.020970,208 +0.020899,208 +0.021561,208 +0.021345,208 +0.020959,208 +0.021026,208 +0.021020,208 +0.021515,208 +0.020916,208 +0.021116,208 +0.021035,208 +0.021011,208 +0.021544,208 +0.020938,208 +0.020971,208 +0.020993,208 +0.021331,208 +0.021146,208 +0.020975,208 +0.021000,208 +0.020880,208 +0.021581,208 +0.020919,208 +0.020933,208 +0.021065,208 +0.021079,208 +0.021627,208 +0.020984,208 +0.021031,208 +0.021143,208 +0.021434,208 +0.021466,208 +0.021069,208 +0.021036,208 +0.020908,208 +0.021261,208 +0.021241,208 +0.020960,208 +0.020993,208 +0.020928,208 +0.021676,208 +0.021072,208 +0.020921,208 +0.021194,208 +0.020953,208 +0.021478,208 +0.020900,208 +0.020952,208 +0.021031,208 +0.020963,208 +0.021564,208 +0.020987,208 +0.021018,208 +0.020997,208 +0.021287,208 +0.021463,208 +0.020961,208 +0.021010,208 +0.021837,210 +0.022359,210 +0.021703,210 +0.021722,210 +0.021748,210 +0.021800,210 +0.022293,210 +0.021726,210 +0.021681,210 +0.021713,210 +0.022189,210 +0.021968,210 +0.021695,210 +0.021828,210 +0.021751,210 +0.022327,210 +0.021710,210 +0.021823,210 +0.021882,210 +0.024530,210 +0.023167,210 +0.021845,210 +0.021955,210 +0.021629,210 +0.022300,210 +0.021750,210 +0.021700,210 +0.021613,210 +0.021707,210 +0.022299,210 +0.021728,210 +0.021733,210 +0.021715,210 +0.022258,210 +0.021667,210 +0.021689,210 +0.021675,210 +0.021617,210 +0.022322,210 +0.021623,210 +0.021723,210 +0.021755,210 +0.021899,210 +0.022125,210 +0.021792,210 +0.021803,210 +0.021650,210 +0.022226,210 +0.021704,210 +0.021738,210 +0.021623,210 +0.021700,210 +0.022291,210 +0.021647,210 +0.021842,210 +0.021684,210 +0.022042,210 +0.021837,210 +0.021654,210 +0.021712,210 +0.021604,210 +0.022472,210 +0.021726,210 +0.021741,210 +0.021754,210 +0.023545,210 +0.022155,210 +0.021975,210 +0.021686,210 +0.021615,210 +0.022360,210 +0.021625,210 +0.022446,210 +0.022446,210 +0.022270,210 +0.022792,210 +0.021866,210 +0.021678,210 +0.021673,210 +0.022255,210 +0.021645,210 +0.021740,210 +0.021689,210 +0.021647,210 +0.022128,210 +0.021689,210 +0.021829,210 +0.021827,210 +0.021905,210 +0.022211,210 +0.021896,210 +0.021644,210 +0.021800,210 +0.022196,210 +0.021754,210 +0.021831,210 +0.021608,210 +0.021701,210 +0.022241,210 +0.021665,210 +0.022333,212 +0.022289,212 +0.022824,212 +0.022219,212 +0.022375,212 +0.022238,212 +0.022223,212 +0.022961,212 +0.022227,212 +0.022258,212 +0.022534,212 +0.022837,212 +0.022326,212 +0.022341,212 +0.022220,212 +0.022228,212 +0.022974,212 +0.022232,212 +0.022573,212 +0.022355,212 +0.022848,212 +0.022325,212 +0.022381,212 +0.022277,212 +0.022785,212 +0.022947,212 +0.022319,212 +0.022236,212 +0.022260,212 +0.022802,212 +0.022282,212 +0.022393,212 +0.022251,212 +0.022384,212 +0.022750,212 +0.022347,212 +0.022354,212 +0.022219,212 +0.022789,212 +0.022340,212 +0.022302,212 +0.022216,212 +0.022453,212 +0.022677,212 +0.022374,212 +0.022228,212 +0.022263,212 +0.022823,212 +0.022218,212 +0.022228,212 +0.022198,212 +0.022395,212 +0.022869,212 +0.022323,212 +0.022361,212 +0.022268,212 +0.022801,212 +0.022334,212 +0.022253,212 +0.022175,212 +0.022361,212 +0.022652,212 +0.022286,212 +0.022231,212 +0.022339,212 +0.023049,212 +0.022210,212 +0.022239,212 +0.022321,212 +0.022345,212 +0.022578,212 +0.022393,212 +0.022224,212 +0.022156,212 +0.022832,212 +0.022247,212 +0.022352,212 +0.022454,212 +0.022399,212 +0.022739,212 +0.022451,212 +0.022183,212 +0.022177,212 +0.022833,212 +0.022297,212 +0.023886,212 +0.022259,212 +0.022521,212 +0.022645,212 +0.022403,212 +0.022249,212 +0.022298,212 +0.022748,212 +0.022594,212 +0.022305,212 +0.022199,212 +0.022525,212 +0.022699,212 +0.022429,212 +0.022883,212 +0.023026,214 +0.023601,214 +0.022894,214 +0.022924,214 +0.022801,214 +0.023424,214 +0.022784,214 +0.022958,214 +0.022937,214 +0.023036,214 +0.023292,214 +0.022977,214 +0.022910,214 +0.022914,214 +0.023308,214 +0.022945,214 +0.022868,214 +0.022820,214 +0.023361,214 +0.022903,214 +0.022967,214 +0.023011,214 +0.022831,214 +0.023594,214 +0.022994,214 +0.022835,214 +0.022873,214 +0.023355,214 +0.023009,214 +0.022910,214 +0.022801,214 +0.023142,214 +0.023126,214 +0.022873,214 +0.022995,214 +0.022831,214 +0.023499,214 +0.022909,214 +0.022804,214 +0.022903,214 +0.023405,214 +0.023121,214 +0.023190,214 +0.023021,214 +0.023059,214 +0.023475,214 +0.022920,214 +0.022871,214 +0.023039,214 +0.023400,214 +0.022957,214 +0.022797,214 +0.022976,214 +0.023346,214 +0.023228,214 +0.022894,214 +0.023023,214 +0.022950,214 +0.023304,214 +0.022880,214 +0.022979,214 +0.022820,214 +0.023251,214 +0.022990,214 +0.022892,214 +0.022999,214 +0.023206,214 +0.023043,214 +0.022884,214 +0.022835,214 +0.022819,214 +0.023492,214 +0.022915,214 +0.022874,214 +0.022853,214 +0.023394,214 +0.022965,214 +0.022915,214 +0.022892,214 +0.023037,214 +0.023072,214 +0.022953,214 +0.022892,214 +0.022866,214 +0.023559,214 +0.022908,214 +0.023742,214 +0.022807,214 +0.023526,214 +0.023016,214 +0.022789,214 +0.023650,214 +0.023282,214 +0.023171,214 +0.022981,214 +0.022893,214 +0.022843,214 +0.023337,214 +0.022931,214 +0.022935,214 +0.023484,216 +0.023960,216 +0.023784,216 +0.023437,216 +0.023560,216 +0.023767,216 +0.023759,216 +0.023548,216 +0.023554,216 +0.023648,216 +0.023907,216 +0.023504,216 +0.023411,216 +0.023361,216 +0.023976,216 +0.023612,216 +0.023527,216 +0.023568,216 +0.024065,216 +0.023642,216 +0.023505,216 +0.023500,216 +0.023761,216 +0.023708,216 +0.023398,216 +0.023390,216 +0.023527,216 +0.023995,216 +0.023649,216 +0.023565,216 +0.023520,216 +0.024105,216 +0.023535,216 +0.023515,216 +0.023435,216 +0.024056,216 +0.023549,216 +0.023436,216 +0.023527,216 +0.023797,216 +0.024015,216 +0.023496,216 +0.023743,216 +0.023574,216 +0.023869,216 +0.023564,216 +0.023412,216 +0.023448,216 +0.024012,216 +0.023638,216 +0.023633,216 +0.023510,216 +0.024206,216 +0.023510,216 +0.023539,216 +0.023430,216 +0.023712,216 +0.023728,216 +0.023420,216 +0.023466,216 +0.023403,216 +0.023832,216 +0.023598,216 +0.023477,216 +0.023488,216 +0.023875,216 +0.023622,216 +0.023453,216 +0.023399,216 +0.024021,216 +0.023578,216 +0.023585,216 +0.023475,216 +0.024381,216 +0.024930,216 +0.023957,216 +0.024402,216 +0.023838,216 +0.024771,216 +0.023503,216 +0.023520,216 +0.023429,216 +0.025026,216 +0.023553,216 +0.023468,216 +0.023556,216 +0.024949,216 +0.023713,216 +0.023406,216 +0.023559,216 +0.024893,216 +0.023608,216 +0.023511,216 +0.023548,216 +0.025018,216 +0.023749,216 +0.023568,216 +0.023493,216 +0.023500,216 +0.025098,216 +0.024321,218 +0.024253,218 +0.024154,218 +0.025959,218 +0.024192,218 +0.024190,218 +0.024139,218 +0.025750,218 +0.024191,218 +0.024242,218 +0.024402,218 +0.030602,218 +0.024774,218 +0.024360,218 +0.024410,218 +0.024888,218 +0.024177,218 +0.024285,218 +0.024374,218 +0.024681,218 +0.024682,218 +0.024262,218 +0.024223,218 +0.024665,218 +0.024532,218 +0.024227,218 +0.024309,218 +0.024826,218 +0.024397,218 +0.024196,218 +0.024256,218 +0.024776,218 +0.024537,218 +0.024244,218 +0.024336,218 +0.024614,218 +0.024646,218 +0.024301,218 +0.024200,218 +0.024366,218 +0.024733,218 +0.024201,218 +0.024230,218 +0.024197,218 +0.024804,218 +0.024310,218 +0.024180,218 +0.024274,218 +0.024824,218 +0.024214,218 +0.024201,218 +0.024154,218 +0.025116,218 +0.024334,218 +0.024319,218 +0.024365,218 +0.024794,218 +0.024186,218 +0.024323,218 +0.024177,218 +0.024657,218 +0.024300,218 +0.024207,218 +0.024112,218 +0.024419,218 +0.024600,218 +0.024227,218 +0.024217,218 +0.024233,218 +0.024734,218 +0.024214,218 +0.025253,218 +0.024190,218 +0.024788,218 +0.024715,218 +0.024626,218 +0.024456,218 +0.024755,218 +0.024196,218 +0.024166,218 +0.024235,218 +0.024681,218 +0.024260,218 +0.024331,218 +0.024221,218 +0.024686,218 +0.024356,218 +0.024330,218 +0.024253,218 +0.024664,218 +0.024319,218 +0.024420,218 +0.025809,218 +0.024817,218 +0.024451,218 +0.024223,218 +0.024401,218 +0.024759,218 +0.024375,218 +0.024219,218 +0.024873,220 +0.025108,220 +0.025061,220 +0.024885,220 +0.024765,220 +0.025074,220 +0.025367,220 +0.024839,220 +0.024765,220 +0.025052,220 +0.025111,220 +0.024817,220 +0.024792,220 +0.025239,220 +0.025257,220 +0.025068,220 +0.024841,220 +0.025115,220 +0.025180,220 +0.024913,220 +0.024890,220 +0.025050,220 +0.025184,220 +0.024911,220 +0.024798,220 +0.025013,220 +0.025192,220 +0.024926,220 +0.024795,220 +0.024976,220 +0.025252,220 +0.024912,220 +0.024793,220 +0.024958,220 +0.025602,220 +0.024894,220 +0.024824,220 +0.024999,220 +0.025398,220 +0.024906,220 +0.024775,220 +0.024963,220 +0.025427,220 +0.024907,220 +0.024832,220 +0.024869,220 +0.025427,220 +0.025238,220 +0.024822,220 +0.024873,220 +0.025321,220 +0.024911,220 +0.024858,220 +0.024902,220 +0.025402,220 +0.024943,220 +0.024956,220 +0.024943,220 +0.025503,220 +0.024872,220 +0.024849,220 +0.024872,220 +0.025515,220 +0.024940,220 +0.024794,220 +0.024854,220 +0.025468,220 +0.025027,220 +0.024804,220 +0.024812,220 +0.025526,220 +0.024885,220 +0.024797,220 +0.024926,220 +0.025620,220 +0.024928,220 +0.024839,220 +0.024926,220 +0.025429,220 +0.025009,220 +0.024797,220 +0.024856,220 +0.025474,220 +0.024913,220 +0.024784,220 +0.024895,220 +0.025441,220 +0.025252,220 +0.024798,220 +0.024784,220 +0.025461,220 +0.024823,220 +0.024757,220 +0.025039,220 +0.026051,220 +0.025156,220 +0.026092,220 +0.024877,220 +0.025423,220 +0.024875,220 +0.025803,222 +0.025612,222 +0.026133,222 +0.025814,222 +0.026533,222 +0.025811,222 +0.026799,222 +0.028307,222 +0.026128,222 +0.026274,222 +0.026490,222 +0.025989,222 +0.025987,222 +0.027747,222 +0.026207,222 +0.025834,222 +0.026027,222 +0.027656,222 +0.025946,222 +0.025867,222 +0.025983,222 +0.027567,222 +0.025950,222 +0.025924,222 +0.025934,222 +0.027547,222 +0.025963,222 +0.025842,222 +0.026992,222 +0.026363,222 +0.025988,222 +0.025937,222 +0.027749,222 +0.025962,222 +0.026520,222 +0.026097,222 +0.027628,222 +0.025700,222 +0.026003,222 +0.025730,222 +0.027521,222 +0.025729,222 +0.026208,222 +0.025815,222 +0.027381,222 +0.025782,222 +0.025681,222 +0.025890,222 +0.027240,222 +0.025703,222 +0.026188,222 +0.028180,222 +0.026576,222 +0.025724,222 +0.025760,222 +0.027488,222 +0.026379,222 +0.026555,222 +0.027810,222 +0.029167,222 +0.026614,222 +0.027743,222 +0.027495,222 +0.029081,222 +0.028671,222 +0.027525,222 +0.026388,222 +0.026126,222 +0.026361,222 +0.026159,222 +0.027152,222 +0.026343,222 +0.026092,222 +0.026325,222 +0.026569,222 +0.026080,222 +0.026654,222 +0.026354,222 +0.026697,222 +0.026229,222 +0.026825,222 +0.027730,222 +0.028674,222 +0.027830,222 +0.028155,222 +0.028284,222 +0.028044,222 +0.026559,222 +0.028011,222 +0.033725,222 +0.027623,222 +0.028418,222 +0.031350,222 +0.028729,222 +0.026083,222 +0.026010,222 +0.032434,222 +0.027779,222 +0.026996,222 +0.028396,222 +0.028949,224 +0.027685,224 +0.026853,224 +0.027342,224 +0.026836,224 +0.026846,224 +0.027353,224 +0.027514,224 +0.035273,224 +0.032047,224 +0.027517,224 +0.026843,224 +0.026461,224 +0.026823,224 +0.026482,224 +0.026429,224 +0.026592,224 +0.026880,224 +0.026321,224 +0.026325,224 +0.026351,224 +0.026876,224 +0.026249,224 +0.026443,224 +0.026446,224 +0.026957,224 +0.026337,224 +0.026385,224 +0.026553,224 +0.026630,224 +0.026286,224 +0.026370,224 +0.026752,224 +0.026410,224 +0.026253,224 +0.026425,224 +0.027212,224 +0.026683,224 +0.026352,224 +0.026306,224 +0.026796,224 +0.026319,224 +0.026409,224 +0.027414,224 +0.027239,224 +0.026580,224 +0.026598,224 +0.026857,224 +0.026380,224 +0.026298,224 +0.026425,224 +0.026794,224 +0.026301,224 +0.026350,224 +0.026489,224 +0.027160,224 +0.026314,224 +0.026349,224 +0.026421,224 +0.026793,224 +0.026374,224 +0.026456,224 +0.026503,224 +0.026953,224 +0.026346,224 +0.026434,224 +0.026791,224 +0.026370,224 +0.026421,224 +0.026372,224 +0.026847,224 +0.026371,224 +0.026353,224 +0.026352,224 +0.026915,224 +0.026435,224 +0.026356,224 +0.026417,224 +0.026870,224 +0.026376,224 +0.026433,224 +0.026624,224 +0.027409,224 +0.026897,224 +0.026468,224 +0.026801,224 +0.026327,224 +0.026391,224 +0.026394,224 +0.026912,224 +0.026554,224 +0.026577,224 +0.026535,224 +0.026772,224 +0.026386,224 +0.026433,224 +0.026597,224 +0.026615,224 +0.026654,224 +0.026921,224 +0.028603,226 +0.027266,226 +0.027135,226 +0.027072,226 +0.027474,226 +0.027131,226 +0.027086,226 +0.027116,226 +0.027478,226 +0.027045,226 +0.027091,226 +0.027592,226 +0.027407,226 +0.027063,226 +0.027063,226 +0.027425,226 +0.027157,226 +0.027344,226 +0.027210,226 +0.027718,226 +0.027114,226 +0.027143,226 +0.027466,226 +0.027005,226 +0.027020,226 +0.026995,226 +0.027437,226 +0.027026,226 +0.026995,226 +0.027142,226 +0.027541,226 +0.026967,226 +0.027073,226 +0.027470,226 +0.026976,226 +0.027179,226 +0.027682,226 +0.027688,226 +0.027113,226 +0.027033,226 +0.027071,226 +0.027531,226 +0.026931,226 +0.027160,226 +0.027355,226 +0.027081,226 +0.026994,226 +0.027038,226 +0.027578,226 +0.027147,226 +0.027222,226 +0.027132,226 +0.027484,226 +0.026990,226 +0.027118,226 +0.027287,226 +0.027333,226 +0.027106,226 +0.027130,226 +0.027430,226 +0.027058,226 +0.026931,226 +0.027072,226 +0.027519,226 +0.027034,226 +0.027094,226 +0.027110,226 +0.027528,226 +0.027124,226 +0.027042,226 +0.027476,226 +0.027152,226 +0.027089,226 +0.027805,226 +0.027947,226 +0.027093,226 +0.027021,226 +0.026933,226 +0.027671,226 +0.027016,226 +0.026995,226 +0.027477,226 +0.027034,226 +0.027993,226 +0.027066,226 +0.027560,226 +0.027294,226 +0.027060,226 +0.027045,226 +0.027400,226 +0.027050,226 +0.026985,226 +0.027514,226 +0.027799,226 +0.027884,226 +0.027555,226 +0.027529,226 +0.026994,226 +0.027625,226 +0.027030,226 +0.028396,228 +0.027789,228 +0.027706,228 +0.028292,228 +0.027713,228 +0.027641,228 +0.027753,228 +0.028166,228 +0.027764,228 +0.027839,228 +0.027917,228 +0.028371,228 +0.027708,228 +0.027819,228 +0.028142,228 +0.027675,228 +0.027806,228 +0.027774,228 +0.028090,228 +0.027691,228 +0.028016,228 +0.028347,228 +0.027715,228 +0.027710,228 +0.027669,228 +0.028135,228 +0.027709,228 +0.027739,228 +0.028289,228 +0.027917,228 +0.027731,228 +0.027709,228 +0.028199,228 +0.027688,228 +0.027750,228 +0.027957,228 +0.028081,228 +0.027754,228 +0.027762,228 +0.028137,228 +0.027730,228 +0.027760,228 +0.027624,228 +0.028232,228 +0.027763,228 +0.027841,228 +0.027998,228 +0.028292,228 +0.027739,228 +0.027804,228 +0.028145,228 +0.027705,228 +0.027735,228 +0.027768,228 +0.028157,228 +0.027802,228 +0.027793,228 +0.028159,228 +0.027800,228 +0.027955,228 +0.027726,228 +0.028202,228 +0.027815,228 +0.027765,228 +0.027927,228 +0.028082,228 +0.027911,228 +0.028507,228 +0.029761,228 +0.029541,228 +0.030357,228 +0.029105,228 +0.030264,228 +0.030174,228 +0.028764,228 +0.028345,228 +0.028749,228 +0.028297,228 +0.031972,228 +0.027970,228 +0.028245,228 +0.027927,228 +0.033471,228 +0.029183,228 +0.030954,228 +0.030335,228 +0.029571,228 +0.029664,228 +0.029525,228 +0.029456,228 +0.029034,228 +0.028302,228 +0.028582,228 +0.027869,228 +0.027958,228 +0.032860,228 +0.054217,228 +0.055905,228 +0.032124,228 +0.030037,228 +0.031212,230 +0.031446,230 +0.029493,230 +0.028981,230 +0.029714,230 +0.029217,230 +0.029330,230 +0.029472,230 +0.028810,230 +0.028966,230 +0.028912,230 +0.029368,230 +0.029060,230 +0.028714,230 +0.029201,230 +0.028925,230 +0.029145,230 +0.029026,230 +0.029022,230 +0.028966,230 +0.028870,230 +0.029391,230 +0.028822,230 +0.029057,230 +0.029450,230 +0.028822,230 +0.029209,230 +0.029746,230 +0.029454,230 +0.028988,230 +0.029127,230 +0.029064,230 +0.029241,230 +0.029435,230 +0.029081,230 +0.031390,230 +0.029498,230 +0.029355,230 +0.029553,230 +0.028982,230 +0.028996,230 +0.028980,230 +0.029188,230 +0.029060,230 +0.028818,230 +0.029422,230 +0.029067,230 +0.028992,230 +0.029280,230 +0.029486,230 +0.029258,230 +0.029168,230 +0.029584,230 +0.029309,230 +0.029174,230 +0.029294,230 +0.028859,230 +0.029155,230 +0.028960,230 +0.029254,230 +0.029074,230 +0.030576,230 +0.030232,230 +0.029177,230 +0.029131,230 +0.030245,230 +0.029385,230 +0.028945,230 +0.028784,230 +0.029233,230 +0.029134,230 +0.029420,230 +0.029514,230 +0.028832,230 +0.028563,230 +0.028667,230 +0.029067,230 +0.028526,230 +0.028438,230 +0.028899,230 +0.029096,230 +0.028589,230 +0.028424,230 +0.029054,230 +0.028619,230 +0.028536,230 +0.028929,230 +0.028593,230 +0.029794,230 +0.038274,230 +0.028631,230 +0.028745,230 +0.028442,230 +0.028873,230 +0.028448,230 +0.028783,230 +0.028461,230 +0.028953,230 +0.028479,230 +0.028411,230 +0.029688,232 +0.029182,232 +0.029007,232 +0.029212,232 +0.030177,232 +0.029792,232 +0.030598,232 +0.033744,232 +0.033655,232 +0.030829,232 +0.032066,232 +0.032223,232 +0.031038,232 +0.030659,232 +0.030033,232 +0.029460,232 +0.029567,232 +0.029924,232 +0.029216,232 +0.029134,232 +0.029829,232 +0.029198,232 +0.029112,232 +0.029550,232 +0.029096,232 +0.029180,232 +0.029056,232 +0.029627,232 +0.029195,232 +0.029088,232 +0.029468,232 +0.029486,232 +0.030023,232 +0.029728,232 +0.029768,232 +0.029106,232 +0.029068,232 +0.029595,232 +0.029140,232 +0.029497,232 +0.029585,232 +0.029460,232 +0.029183,232 +0.029034,232 +0.029641,232 +0.029115,232 +0.029208,232 +0.029817,232 +0.029447,232 +0.029239,232 +0.029114,232 +0.029866,232 +0.029166,232 +0.029146,232 +0.029593,232 +0.029066,232 +0.029145,232 +0.029049,232 +0.029621,232 +0.029042,232 +0.029041,232 +0.029647,232 +0.029164,232 +0.029283,232 +0.029343,232 +0.029674,232 +0.029265,232 +0.029332,232 +0.029687,232 +0.029218,232 +0.029087,232 +0.029494,232 +0.029337,232 +0.029189,232 +0.029091,232 +0.029642,232 +0.029189,232 +0.029207,232 +0.029540,232 +0.029594,232 +0.029035,232 +0.029327,232 +0.032385,232 +0.030660,232 +0.029237,232 +0.029852,232 +0.029299,232 +0.029156,232 +0.029341,232 +0.029562,232 +0.029221,232 +0.029107,232 +0.029742,232 +0.029237,232 +0.029049,232 +0.029655,232 +0.029219,232 +0.029072,232 +0.029165,232 +0.029762,232 +0.030358,234 +0.030127,234 +0.030604,234 +0.030153,234 +0.030130,234 +0.030406,234 +0.030486,234 +0.030233,234 +0.030003,234 +0.030490,234 +0.030202,234 +0.030074,234 +0.030438,234 +0.030215,234 +0.030018,234 +0.031065,234 +0.032074,234 +0.030253,234 +0.030099,234 +0.030677,234 +0.031515,234 +0.031204,234 +0.033240,234 +0.031116,234 +0.030199,234 +0.030712,234 +0.030225,234 +0.030108,234 +0.030597,234 +0.030284,234 +0.030132,234 +0.030359,234 +0.030782,234 +0.030082,234 +0.030109,234 +0.030729,234 +0.030159,234 +0.030105,234 +0.030472,234 +0.030409,234 +0.030108,234 +0.030038,234 +0.030701,234 +0.030097,234 +0.032153,234 +0.032187,234 +0.030610,234 +0.030178,234 +0.030790,234 +0.030180,234 +0.030011,234 +0.030187,234 +0.030570,234 +0.030096,234 +0.030133,234 +0.031568,234 +0.030319,234 +0.030084,234 +0.030822,234 +0.030645,234 +0.030130,234 +0.030539,234 +0.031045,234 +0.030107,234 +0.030286,234 +0.030675,234 +0.030380,234 +0.030718,234 +0.031886,234 +0.032856,234 +0.033020,234 +0.032307,234 +0.031610,234 +0.032002,234 +0.032058,234 +0.031528,234 +0.030505,234 +0.030506,234 +0.030780,234 +0.030169,234 +0.030483,234 +0.030792,234 +0.030206,234 +0.030239,234 +0.031256,234 +0.030443,234 +0.030501,234 +0.030984,234 +0.030521,234 +0.030428,234 +0.030373,234 +0.030966,234 +0.030462,234 +0.030669,234 +0.030869,234 +0.030494,234 +0.030628,234 +0.031014,234 +0.031166,234 +0.033034,234 +0.033777,236 +0.033994,236 +0.033944,236 +0.034148,236 +0.031757,236 +0.030948,236 +0.032556,236 +0.031320,236 +0.031032,236 +0.031013,236 +0.032891,236 +0.032434,236 +0.032233,236 +0.034586,236 +0.033126,236 +0.033744,236 +0.034739,236 +0.031994,236 +0.031318,236 +0.033039,236 +0.031272,236 +0.031136,236 +0.032828,236 +0.031334,236 +0.031468,236 +0.032985,236 +0.031576,236 +0.031285,236 +0.033451,236 +0.035104,236 +0.034135,236 +0.032739,236 +0.032981,236 +0.032480,236 +0.032441,236 +0.032488,236 +0.033266,236 +0.031990,236 +0.031856,236 +0.031373,236 +0.031471,236 +0.031751,236 +0.032149,236 +0.031541,236 +0.031784,236 +0.031390,236 +0.031234,236 +0.031803,236 +0.031537,236 +0.031533,236 +0.032068,236 +0.031771,236 +0.031798,236 +0.031953,236 +0.031569,236 +0.031234,236 +0.031939,236 +0.031545,236 +0.031601,236 +0.031578,236 +0.031932,236 +0.031237,236 +0.031325,236 +0.031721,236 +0.031366,236 +0.031220,236 +0.031750,236 +0.031240,236 +0.032455,236 +0.033766,236 +0.031280,236 +0.030793,236 +0.031328,236 +0.030853,236 +0.030771,236 +0.031968,236 +0.031074,236 +0.030757,236 +0.030916,236 +0.032139,236 +0.032433,236 +0.034592,236 +0.033978,236 +0.032397,236 +0.032334,236 +0.031628,236 +0.031247,236 +0.031339,236 +0.031525,236 +0.032272,236 +0.034320,236 +0.035302,236 +0.033631,236 +0.032443,236 +0.031868,236 +0.036478,236 +0.032029,236 +0.031947,236 +0.030840,236 +0.030834,236 +0.032290,238 +0.031663,238 +0.031577,238 +0.033485,238 +0.033872,238 +0.035361,238 +0.035761,238 +0.032871,238 +0.032131,238 +0.032473,238 +0.031940,238 +0.031745,238 +0.032728,238 +0.032135,238 +0.031720,238 +0.032094,238 +0.033397,238 +0.032657,238 +0.034607,238 +0.034474,238 +0.034204,238 +0.038265,238 +0.033422,238 +0.032119,238 +0.032749,238 +0.032330,238 +0.033634,238 +0.034926,238 +0.036489,238 +0.034506,238 +0.033690,238 +0.032542,238 +0.032052,238 +0.032223,238 +0.033186,238 +0.034131,238 +0.034831,238 +0.034710,238 +0.033838,238 +0.032466,238 +0.032274,238 +0.032050,238 +0.031949,238 +0.032542,238 +0.031693,238 +0.031649,238 +0.032263,238 +0.031716,238 +0.031614,238 +0.032194,238 +0.033197,238 +0.035426,238 +0.035452,238 +0.033799,238 +0.034757,238 +0.033376,238 +0.032357,238 +0.032370,238 +0.033924,238 +0.031932,238 +0.031730,238 +0.033355,238 +0.031602,238 +0.032070,238 +0.033182,238 +0.031728,238 +0.031650,238 +0.033281,238 +0.031678,238 +0.031882,238 +0.034564,238 +0.031760,238 +0.031552,238 +0.033319,238 +0.031600,238 +0.031533,238 +0.032823,238 +0.032028,238 +0.031525,238 +0.031993,238 +0.032756,238 +0.031828,238 +0.031746,238 +0.033238,238 +0.031641,238 +0.031616,238 +0.033137,238 +0.031554,238 +0.031585,238 +0.033085,238 +0.031562,238 +0.031473,238 +0.033401,238 +0.031639,238 +0.031512,238 +0.033092,238 +0.031949,238 +0.031735,238 +0.033181,238 +0.031755,238 +0.032343,240 +0.033862,240 +0.034092,240 +0.032217,240 +0.033336,240 +0.032581,240 +0.032189,240 +0.032208,240 +0.033655,240 +0.032166,240 +0.032460,240 +0.033617,240 +0.032209,240 +0.032333,240 +0.033738,240 +0.032283,240 +0.032250,240 +0.033561,240 +0.033114,240 +0.034166,240 +0.035387,240 +0.034878,240 +0.034778,240 +0.035309,240 +0.032956,240 +0.032670,240 +0.034152,240 +0.032453,240 +0.032523,240 +0.033747,240 +0.032219,240 +0.032256,240 +0.034852,240 +0.032188,240 +0.032216,240 +0.033476,240 +0.032083,240 +0.033007,240 +0.034557,240 +0.032568,240 +0.032249,240 +0.033585,240 +0.032223,240 +0.032403,240 +0.033472,240 +0.032224,240 +0.032070,240 +0.032631,240 +0.032187,240 +0.032076,240 +0.032691,240 +0.032156,240 +0.032070,240 +0.032641,240 +0.032126,240 +0.032065,240 +0.032322,240 +0.032443,240 +0.032428,240 +0.032233,240 +0.032845,240 +0.032217,240 +0.032185,240 +0.032981,240 +0.032174,240 +0.032270,240 +0.032766,240 +0.032613,240 +0.032274,240 +0.032744,240 +0.032155,240 +0.032178,240 +0.032682,240 +0.032216,240 +0.032185,240 +0.032755,240 +0.032373,240 +0.032354,240 +0.032655,240 +0.032702,240 +0.032727,240 +0.033254,240 +0.032606,240 +0.032792,240 +0.033288,240 +0.032707,240 +0.032698,240 +0.032970,240 +0.033131,240 +0.032702,240 +0.032809,240 +0.032904,240 +0.032723,240 +0.032811,240 +0.033252,240 +0.032700,240 +0.032779,240 +0.033331,240 +0.032580,240 +0.032634,240 +0.034677,242 +0.034333,242 +0.035353,242 +0.037132,242 +0.035416,242 +0.035410,242 +0.034834,242 +0.033790,242 +0.034383,242 +0.033788,242 +0.033457,242 +0.034437,242 +0.035468,242 +0.036031,242 +0.038102,242 +0.036129,242 +0.036671,242 +0.038472,242 +0.034601,242 +0.034189,242 +0.036864,242 +0.036533,242 +0.036482,242 +0.037213,242 +0.036504,242 +0.038268,242 +0.036324,242 +0.038244,242 +0.035677,242 +0.035634,242 +0.034792,242 +0.036135,242 +0.036817,242 +0.037817,242 +0.037462,242 +0.036281,242 +0.036753,242 +0.036863,242 +0.035234,242 +0.034721,242 +0.034226,242 +0.034461,242 +0.035540,242 +0.036877,242 +0.036143,242 +0.036095,242 +0.035628,242 +0.034672,242 +0.034271,242 +0.034081,242 +0.034506,242 +0.035000,242 +0.035985,242 +0.035727,242 +0.036704,242 +0.037648,242 +0.035403,242 +0.034006,242 +0.033905,242 +0.034223,242 +0.036224,242 +0.036299,242 +0.038138,242 +0.036845,242 +0.036640,242 +0.036335,242 +0.036843,242 +0.034545,242 +0.033487,242 +0.036115,242 +0.036344,242 +0.036293,242 +0.035307,242 +0.038131,242 +0.045884,242 +0.042915,242 +0.035826,242 +0.036449,242 +0.035700,242 +0.036295,242 +0.039672,242 +0.035614,242 +0.035382,242 +0.034891,242 +0.033864,242 +0.034920,242 +0.035236,242 +0.036033,242 +0.037853,242 +0.036326,242 +0.036606,242 +0.035340,242 +0.038935,242 +0.033753,242 +0.033520,242 +0.038138,242 +0.035472,242 +0.035660,242 +0.035369,242 +0.034935,242 +0.035351,244 +0.035871,244 +0.035230,244 +0.035925,244 +0.038724,244 +0.040129,244 +0.039379,244 +0.038537,244 +0.040497,244 +0.036633,244 +0.035343,244 +0.038747,244 +0.038757,244 +0.045130,244 +0.036858,244 +0.041927,244 +0.039854,244 +0.037641,244 +0.038082,244 +0.043394,244 +0.039307,244 +0.038785,244 +0.037869,244 +0.037780,244 +0.035217,244 +0.034456,244 +0.036203,244 +0.037800,244 +0.040150,244 +0.050008,244 +0.049812,244 +0.041325,244 +0.045832,244 +0.052610,244 +0.052008,244 +0.042045,244 +0.067749,244 +0.072703,244 +0.072166,244 +0.046886,244 +0.038491,244 +0.039296,244 +0.037777,244 +0.049037,244 +0.036943,244 +0.036475,244 +0.036480,244 +0.036279,244 +0.036979,244 +0.035601,244 +0.037431,244 +0.035981,244 +0.035024,244 +0.035396,244 +0.035535,244 +0.035078,244 +0.035980,244 +0.035874,244 +0.035106,244 +0.034888,244 +0.034206,244 +0.034227,244 +0.034895,244 +0.038662,244 +0.034279,244 +0.039300,244 +0.035010,244 +0.034118,244 +0.034979,244 +0.034239,244 +0.034100,244 +0.047447,244 +0.034204,244 +0.034705,244 +0.034445,244 +0.034354,244 +0.034837,244 +0.034082,244 +0.034278,244 +0.034973,244 +0.034284,244 +0.034085,244 +0.034760,244 +0.034259,244 +0.034188,244 +0.034593,244 +0.034133,244 +0.034105,244 +0.034614,244 +0.034142,244 +0.034141,244 +0.034646,244 +0.034292,244 +0.034239,244 +0.034943,244 +0.034119,244 +0.034072,244 +0.034719,244 +0.034357,244 +0.034145,244 +0.035788,246 +0.035212,246 +0.035194,246 +0.035476,246 +0.035298,246 +0.036709,246 +0.035462,246 +0.035223,246 +0.035805,246 +0.035209,246 +0.035165,246 +0.035768,246 +0.035274,246 +0.035219,246 +0.035662,246 +0.035250,246 +0.035914,246 +0.036826,246 +0.038206,246 +0.044112,246 +0.041421,246 +0.043092,246 +0.042983,246 +0.036796,246 +0.039207,246 +0.038178,246 +0.037697,246 +0.039172,246 +0.038369,246 +0.038217,246 +0.037788,246 +0.039724,246 +0.043731,246 +0.039567,246 +0.039280,246 +0.036046,246 +0.035558,246 +0.037500,246 +0.037027,246 +0.037366,246 +0.038814,246 +0.037329,246 +0.036223,246 +0.036504,246 +0.035596,246 +0.036479,246 +0.037131,246 +0.035821,246 +0.036483,246 +0.035860,246 +0.035607,246 +0.036814,246 +0.035801,246 +0.035939,246 +0.036605,246 +0.036062,246 +0.036307,246 +0.035925,246 +0.036517,246 +0.037065,246 +0.036557,246 +0.035529,246 +0.036068,246 +0.036164,246 +0.035511,246 +0.036099,246 +0.035529,246 +0.035457,246 +0.036358,246 +0.035706,246 +0.035986,246 +0.037572,246 +0.035684,246 +0.036861,246 +0.035794,246 +0.035796,246 +0.036792,246 +0.035434,246 +0.035464,246 +0.036024,246 +0.035524,246 +0.035594,246 +0.036032,246 +0.035576,246 +0.036133,246 +0.035656,246 +0.035641,246 +0.036242,246 +0.035668,246 +0.035511,246 +0.036249,246 +0.035679,246 +0.035835,246 +0.036350,246 +0.035769,246 +0.035779,246 +0.036081,246 +0.035742,246 +0.036305,246 +0.035666,246 +0.036538,248 +0.036950,248 +0.036891,248 +0.037282,248 +0.037122,248 +0.035963,248 +0.035966,248 +0.036533,248 +0.035865,248 +0.036491,248 +0.036088,248 +0.035918,248 +0.036324,248 +0.036204,248 +0.036010,248 +0.036408,248 +0.036022,248 +0.035875,248 +0.036484,248 +0.035847,248 +0.035988,248 +0.036638,248 +0.035939,248 +0.036479,248 +0.036101,248 +0.035841,248 +0.037387,248 +0.035967,248 +0.036096,248 +0.036605,248 +0.037319,248 +0.036080,248 +0.036739,248 +0.035905,248 +0.036373,248 +0.036001,248 +0.035857,248 +0.036426,248 +0.036060,248 +0.036116,248 +0.036435,248 +0.036006,248 +0.035934,248 +0.036601,248 +0.036661,248 +0.038456,248 +0.037034,248 +0.036383,248 +0.037245,248 +0.036645,248 +0.036301,248 +0.036790,248 +0.036420,248 +0.036386,248 +0.039304,248 +0.037737,248 +0.036706,248 +0.037622,248 +0.039952,248 +0.039045,248 +0.039536,248 +0.038979,248 +0.037102,248 +0.040524,248 +0.047871,248 +0.039514,248 +0.038784,248 +0.036877,248 +0.036276,248 +0.036576,248 +0.036445,248 +0.036307,248 +0.038011,248 +0.036560,248 +0.036393,248 +0.039587,248 +0.037070,248 +0.038024,248 +0.036550,248 +0.036464,248 +0.039896,248 +0.040696,248 +0.039671,248 +0.037722,248 +0.037045,248 +0.037030,248 +0.036760,248 +0.036654,248 +0.036918,248 +0.036292,248 +0.036506,248 +0.036907,248 +0.036397,248 +0.036666,248 +0.037172,248 +0.036737,248 +0.037231,248 +0.036764,248 +0.037268,248 +0.037170,248 +0.038086,250 +0.038827,250 +0.038990,250 +0.037656,250 +0.039527,250 +0.037633,250 +0.037549,250 +0.038221,250 +0.037844,250 +0.038290,250 +0.037835,250 +0.037638,250 +0.038288,250 +0.037639,250 +0.037595,250 +0.038418,250 +0.037800,250 +0.038053,250 +0.037847,250 +0.037909,250 +0.038100,250 +0.037897,250 +0.037869,250 +0.038147,250 +0.037684,250 +0.038149,250 +0.038995,250 +0.043489,250 +0.045378,250 +0.039512,250 +0.043945,250 +0.041917,250 +0.046253,250 +0.051930,250 +0.061852,250 +0.060873,250 +0.055203,250 +0.056209,250 +0.049196,250 +0.052504,250 +0.054557,250 +0.049361,250 +0.055008,250 +0.048738,250 +0.048519,250 +0.040005,250 +0.052799,250 +0.053327,250 +0.043411,250 +0.044696,250 +0.042284,250 +0.040053,250 +0.043783,250 +0.040671,250 +0.043014,250 +0.041375,250 +0.039464,250 +0.038793,250 +0.037435,250 +0.037281,250 +0.037981,250 +0.037245,250 +0.037327,250 +0.037564,250 +0.037241,250 +0.037451,250 +0.039258,250 +0.037382,250 +0.037922,250 +0.037268,250 +0.037188,250 +0.037485,250 +0.037387,250 +0.038525,250 +0.038325,250 +0.038383,250 +0.038073,250 +0.040982,250 +0.074718,250 +0.038744,250 +0.038323,250 +0.038145,250 +0.037754,250 +0.039391,250 +0.037818,250 +0.038091,250 +0.038323,250 +0.037743,250 +0.038526,250 +0.037601,250 +0.037652,250 +0.038597,250 +0.037943,250 +0.038059,250 +0.037976,250 +0.037702,250 +0.038592,250 +0.037895,250 +0.037840,250 +0.038815,250 +0.038699,252 +0.039045,252 +0.038515,252 +0.038525,252 +0.039196,252 +0.038629,252 +0.038606,252 +0.039003,252 +0.038791,252 +0.039151,252 +0.038370,252 +0.038741,252 +0.039158,252 +0.038488,252 +0.039305,252 +0.038434,252 +0.038216,252 +0.039576,252 +0.038537,252 +0.038717,252 +0.038729,252 +0.038565,252 +0.039139,252 +0.038482,252 +0.038509,252 +0.039110,252 +0.038557,252 +0.039360,252 +0.038386,252 +0.038276,252 +0.039334,252 +0.038254,252 +0.038748,252 +0.038706,252 +0.038297,252 +0.039110,252 +0.038381,252 +0.038306,252 +0.038858,252 +0.038423,252 +0.039294,252 +0.038163,252 +0.037901,252 +0.038654,252 +0.037990,252 +0.038164,252 +0.038542,252 +0.037878,252 +0.038594,252 +0.038343,252 +0.038125,252 +0.038493,252 +0.037896,252 +0.038614,252 +0.038042,252 +0.037831,252 +0.038678,252 +0.038131,252 +0.038024,252 +0.038536,252 +0.042861,252 +0.038422,252 +0.037953,252 +0.037943,252 +0.038348,252 +0.037991,252 +0.038721,252 +0.038117,252 +0.037917,252 +0.038919,252 +0.037938,252 +0.038027,252 +0.039191,252 +0.037861,252 +0.038955,252 +0.040984,252 +0.038092,252 +0.040819,252 +0.038052,252 +0.039542,252 +0.037981,252 +0.037802,252 +0.039468,252 +0.037887,252 +0.037890,252 +0.038429,252 +0.037804,252 +0.038395,252 +0.038648,252 +0.037949,252 +0.038276,252 +0.037851,252 +0.038169,252 +0.039792,252 +0.042231,252 +0.039571,252 +0.038210,252 +0.038467,252 +0.038717,252 +0.038249,252 +0.039936,254 +0.039465,254 +0.039334,254 +0.040065,254 +0.039383,254 +0.040090,254 +0.039435,254 +0.039177,254 +0.040657,254 +0.039187,254 +0.040312,254 +0.039448,254 +0.039488,254 +0.040645,254 +0.040085,254 +0.041609,254 +0.039331,254 +0.039357,254 +0.041614,254 +0.039211,254 +0.041913,254 +0.039449,254 +0.039495,254 +0.041637,254 +0.039478,254 +0.041623,254 +0.039509,254 +0.039517,254 +0.043351,254 +0.039365,254 +0.041827,254 +0.039644,254 +0.039558,254 +0.041600,254 +0.039541,254 +0.041388,254 +0.039354,254 +0.039592,254 +0.041203,254 +0.039634,254 +0.041391,254 +0.039556,254 +0.039549,254 +0.041227,254 +0.039462,254 +0.041692,254 +0.039581,254 +0.039455,254 +0.041425,254 +0.039442,254 +0.041406,254 +0.039491,254 +0.039306,254 +0.042753,254 +0.039219,254 +0.041637,254 +0.039697,254 +0.039207,254 +0.043401,254 +0.039485,254 +0.041004,254 +0.038971,254 +0.039117,254 +0.041379,254 +0.038966,254 +0.040863,254 +0.038944,254 +0.038962,254 +0.042000,254 +0.039254,254 +0.039711,254 +0.039101,254 +0.038850,254 +0.040741,254 +0.039132,254 +0.039386,254 +0.039018,254 +0.038897,254 +0.039604,254 +0.039720,254 +0.039484,254 +0.039226,254 +0.039947,254 +0.039878,254 +0.039104,254 +0.039400,254 +0.040058,254 +0.039104,254 +0.039540,254 +0.039171,254 +0.039434,254 +0.039560,254 +0.039144,254 +0.039675,254 +0.039228,254 +0.039316,254 +0.039891,254 +0.038911,254 +0.039681,254 +0.039048,254 +0.045297,256 +0.045849,256 +0.045395,256 +0.046163,256 +0.045344,256 +0.046896,256 +0.045613,256 +0.048069,256 +0.045930,256 +0.046376,256 +0.045710,256 +0.046088,256 +0.047383,256 +0.045935,256 +0.047501,256 +0.045963,256 +0.047293,256 +0.046090,256 +0.047512,256 +0.045820,256 +0.047847,256 +0.045723,256 +0.047504,256 +0.045714,256 +0.046280,256 +0.048077,256 +0.045847,256 +0.047505,256 +0.045955,256 +0.047295,256 +0.045545,256 +0.047311,256 +0.045926,256 +0.047432,256 +0.045836,256 +0.047683,256 +0.045752,256 +0.047709,256 +0.046274,256 +0.046592,256 +0.047855,256 +0.050953,256 +0.047916,256 +0.045931,256 +0.047817,256 +0.046053,256 +0.049004,256 +0.046315,256 +0.048031,256 +0.046460,256 +0.048593,256 +0.046224,256 +0.047719,256 +0.045832,256 +0.047828,256 +0.046105,256 +0.045767,256 +0.047757,256 +0.045915,256 +0.048175,256 +0.046601,256 +0.047080,256 +0.045218,256 +0.046985,256 +0.045308,256 +0.046867,256 +0.045136,256 +0.047985,256 +0.045647,256 +0.045707,256 +0.046499,256 +0.045497,256 +0.047160,256 +0.045219,256 +0.047095,256 +0.045170,256 +0.046713,256 +0.045684,256 +0.046960,256 +0.045355,256 +0.046547,256 +0.045593,256 +0.045185,256 +0.046832,256 +0.045076,256 +0.047068,256 +0.045091,256 +0.046798,256 +0.045298,256 +0.048013,256 +0.045422,256 +0.046954,256 +0.045552,256 +0.046425,256 +0.046089,256 +0.045377,256 +0.045881,256 +0.045229,256 +0.045887,256 +0.045230,256 +0.042081,258 +0.042614,258 +0.041833,258 +0.042086,258 +0.041492,258 +0.043070,258 +0.042303,258 +0.042069,258 +0.042106,258 +0.041970,258 +0.042518,258 +0.041982,258 +0.042699,258 +0.041835,258 +0.042066,258 +0.042568,258 +0.042002,258 +0.042405,258 +0.042074,258 +0.042611,258 +0.042106,258 +0.041835,258 +0.042608,258 +0.041898,258 +0.042480,258 +0.042001,258 +0.041909,258 +0.042463,258 +0.045149,258 +0.043737,258 +0.042288,258 +0.042411,258 +0.041625,258 +0.042247,258 +0.042165,258 +0.041585,258 +0.042754,258 +0.041842,258 +0.043590,258 +0.041990,258 +0.043031,258 +0.044013,258 +0.041785,258 +0.043605,258 +0.041802,258 +0.043916,258 +0.041727,258 +0.041861,258 +0.043481,258 +0.042282,258 +0.043696,258 +0.042073,258 +0.043473,258 +0.041695,258 +0.041836,258 +0.043509,258 +0.041741,258 +0.043380,258 +0.042463,258 +0.041709,258 +0.042632,258 +0.042106,258 +0.042620,258 +0.042544,258 +0.045255,258 +0.043871,258 +0.041508,258 +0.041967,258 +0.041501,258 +0.041899,258 +0.041971,258 +0.041960,258 +0.041676,258 +0.041295,258 +0.042285,258 +0.041558,258 +0.042110,258 +0.041293,258 +0.041305,258 +0.042215,258 +0.041494,258 +0.041830,258 +0.041343,258 +0.041394,258 +0.042209,258 +0.041295,258 +0.042063,258 +0.043349,258 +0.045494,258 +0.043548,258 +0.041453,258 +0.046725,258 +0.041732,258 +0.046617,258 +0.041177,258 +0.046633,258 +0.041518,258 +0.045840,258 +0.042901,258 +0.041345,258 +0.048255,260 +0.042324,260 +0.047944,260 +0.042678,260 +0.047935,260 +0.042694,260 +0.044666,260 +0.046949,260 +0.042397,260 +0.048135,260 +0.042603,260 +0.047941,260 +0.042574,260 +0.048251,260 +0.042447,260 +0.047803,260 +0.042785,260 +0.042291,260 +0.048307,260 +0.042330,260 +0.048392,260 +0.042397,260 +0.048226,260 +0.042667,260 +0.047873,260 +0.042525,260 +0.042523,260 +0.048155,260 +0.042379,260 +0.049098,260 +0.042286,260 +0.048006,260 +0.042583,260 +0.047957,260 +0.042498,260 +0.043690,260 +0.046701,260 +0.042336,260 +0.048451,260 +0.042400,260 +0.048644,260 +0.042495,260 +0.048564,260 +0.042649,260 +0.045546,260 +0.045037,260 +0.042463,260 +0.048389,260 +0.042364,260 +0.047973,260 +0.042311,260 +0.048661,260 +0.042668,260 +0.047775,260 +0.043000,260 +0.042421,260 +0.049528,260 +0.042978,260 +0.048586,260 +0.042669,260 +0.048119,260 +0.042438,260 +0.048009,260 +0.042556,260 +0.043498,260 +0.047218,260 +0.042378,260 +0.048384,260 +0.042388,260 +0.048305,260 +0.042455,260 +0.048446,260 +0.042351,260 +0.044113,260 +0.047139,260 +0.042322,260 +0.048408,260 +0.042434,260 +0.048234,260 +0.042494,260 +0.048293,260 +0.042480,260 +0.047994,260 +0.042675,260 +0.042313,260 +0.048334,260 +0.042412,260 +0.048358,260 +0.042306,260 +0.048182,260 +0.042543,260 +0.048056,260 +0.042424,260 +0.042349,260 +0.048096,260 +0.042478,260 +0.049024,260 +0.042525,260 +0.048152,260 +0.042303,260 +0.051544,262 +0.045612,262 +0.050535,262 +0.045288,262 +0.048709,262 +0.047252,262 +0.045144,262 +0.051457,262 +0.045062,262 +0.051046,262 +0.045063,262 +0.050513,262 +0.045180,262 +0.051306,262 +0.045181,262 +0.050392,262 +0.045029,262 +0.051435,262 +0.045635,262 +0.050680,262 +0.045062,262 +0.050670,262 +0.045119,262 +0.050427,262 +0.045001,262 +0.046788,262 +0.049032,262 +0.045134,262 +0.050543,262 +0.045412,262 +0.051262,262 +0.045004,262 +0.050438,262 +0.045083,262 +0.051226,262 +0.045002,262 +0.050308,262 +0.045029,262 +0.052155,262 +0.045088,262 +0.050504,262 +0.045078,262 +0.050475,262 +0.045118,262 +0.050361,262 +0.046407,262 +0.045584,262 +0.050035,262 +0.045313,262 +0.051202,262 +0.045060,262 +0.051355,262 +0.045182,262 +0.051282,262 +0.049080,262 +0.046642,262 +0.045015,262 +0.045746,262 +0.045166,262 +0.045918,262 +0.045070,262 +0.045495,262 +0.045338,262 +0.045044,262 +0.045700,262 +0.045056,262 +0.045916,262 +0.045165,262 +0.045669,262 +0.045212,262 +0.045766,262 +0.045216,262 +0.045616,262 +0.045724,262 +0.045022,262 +0.045808,262 +0.045308,262 +0.047476,262 +0.045366,262 +0.045937,262 +0.045114,262 +0.045810,262 +0.045430,262 +0.045258,262 +0.045845,262 +0.045254,262 +0.045789,262 +0.045173,262 +0.045872,262 +0.045020,262 +0.045713,262 +0.045355,262 +0.045629,262 +0.045504,262 +0.045357,262 +0.045746,262 +0.045122,262 +0.045805,262 +0.045116,262 +0.045932,262 +0.045572,264 +0.045377,264 +0.044911,264 +0.045498,264 +0.045480,264 +0.045013,264 +0.045361,264 +0.044835,264 +0.045345,264 +0.044850,264 +0.045363,264 +0.044819,264 +0.045119,264 +0.045038,264 +0.044929,264 +0.045277,264 +0.045018,264 +0.045337,264 +0.044766,264 +0.045071,264 +0.045004,264 +0.045191,264 +0.044777,264 +0.044833,264 +0.045091,264 +0.044788,264 +0.045319,264 +0.044897,264 +0.045363,264 +0.045009,264 +0.045403,264 +0.044783,264 +0.044908,264 +0.045218,264 +0.044848,264 +0.045603,264 +0.044800,264 +0.045850,264 +0.047181,264 +0.045717,264 +0.044871,264 +0.045471,264 +0.044947,264 +0.044940,264 +0.045371,264 +0.044852,264 +0.045318,264 +0.044823,264 +0.045581,264 +0.044927,264 +0.045449,264 +0.045173,264 +0.044880,264 +0.045276,264 +0.045357,264 +0.045468,264 +0.044777,264 +0.045276,264 +0.044682,264 +0.047804,264 +0.046794,264 +0.046725,264 +0.044823,264 +0.044911,264 +0.049118,264 +0.045572,264 +0.045130,264 +0.045017,264 +0.045110,264 +0.044772,264 +0.045407,264 +0.045054,264 +0.045183,264 +0.045040,264 +0.044867,264 +0.045725,264 +0.044958,264 +0.045318,264 +0.044947,264 +0.045226,264 +0.044847,264 +0.045403,264 +0.045587,264 +0.045449,264 +0.045266,264 +0.044929,264 +0.045318,264 +0.044923,264 +0.045372,264 +0.045250,264 +0.045429,264 +0.044795,264 +0.044988,264 +0.045278,264 +0.045132,264 +0.045579,264 +0.044765,264 +0.045500,264 +0.044827,264 +0.045411,264 +0.048093,266 +0.048554,266 +0.047857,266 +0.048832,266 +0.048130,266 +0.048065,266 +0.048130,266 +0.047908,266 +0.048489,266 +0.048060,266 +0.048360,266 +0.047964,266 +0.048440,266 +0.047902,266 +0.048555,266 +0.048409,266 +0.048603,266 +0.047875,266 +0.048451,266 +0.047899,266 +0.048415,266 +0.047878,266 +0.048513,266 +0.048003,266 +0.048460,266 +0.048109,266 +0.048418,266 +0.047827,266 +0.048355,266 +0.048271,266 +0.048101,266 +0.048250,266 +0.047861,266 +0.048418,266 +0.047947,266 +0.048736,266 +0.047898,266 +0.048680,266 +0.047957,266 +0.048521,266 +0.048046,266 +0.048546,266 +0.048040,266 +0.049049,266 +0.047991,266 +0.048726,266 +0.048007,266 +0.048397,266 +0.047939,266 +0.048432,266 +0.047919,266 +0.048511,266 +0.048066,266 +0.048158,266 +0.048293,266 +0.048010,266 +0.048770,266 +0.048032,266 +0.048726,266 +0.047981,266 +0.048417,266 +0.048049,266 +0.048393,266 +0.048031,266 +0.048320,266 +0.048281,266 +0.049239,266 +0.047884,266 +0.048425,266 +0.047931,266 +0.048400,266 +0.047844,266 +0.048448,266 +0.048015,266 +0.048546,266 +0.048001,266 +0.048574,266 +0.048322,266 +0.048336,266 +0.048125,266 +0.048212,266 +0.048421,266 +0.048035,266 +0.048492,266 +0.047906,266 +0.048542,266 +0.048039,266 +0.048647,266 +0.047852,266 +0.048421,266 +0.047796,266 +0.048576,266 +0.047807,266 +0.048873,266 +0.047809,266 +0.048401,266 +0.047913,266 +0.048670,266 +0.048133,266 +0.048864,266 +0.048275,268 +0.048696,268 +0.048144,268 +0.048465,268 +0.048125,268 +0.048255,268 +0.048431,268 +0.048170,268 +0.048705,268 +0.048052,268 +0.048540,268 +0.048015,268 +0.048595,268 +0.048046,268 +0.048586,268 +0.048002,268 +0.049067,268 +0.048110,268 +0.048884,268 +0.048117,268 +0.048584,268 +0.048039,268 +0.048778,268 +0.048048,268 +0.048461,268 +0.048128,268 +0.048589,268 +0.048218,268 +0.048745,268 +0.048078,268 +0.048564,268 +0.048037,268 +0.048153,268 +0.048413,268 +0.047985,268 +0.048706,268 +0.048094,268 +0.048498,268 +0.048325,268 +0.048784,268 +0.048145,268 +0.048614,268 +0.048069,268 +0.048603,268 +0.048081,268 +0.048666,268 +0.048397,268 +0.048522,268 +0.048516,268 +0.048846,268 +0.048086,268 +0.048523,268 +0.048044,268 +0.048577,268 +0.048127,268 +0.048515,268 +0.048060,268 +0.048525,268 +0.048301,268 +0.048229,268 +0.048670,268 +0.048532,268 +0.048557,268 +0.048008,268 +0.048688,268 +0.048004,268 +0.048554,268 +0.048121,268 +0.048588,268 +0.048915,268 +0.048832,268 +0.048046,268 +0.048471,268 +0.048041,268 +0.048648,268 +0.048166,268 +0.048498,268 +0.048032,268 +0.048534,268 +0.048124,268 +0.048592,268 +0.048203,268 +0.048449,268 +0.048046,268 +0.048568,268 +0.048168,268 +0.048328,268 +0.048358,268 +0.048142,268 +0.048514,268 +0.048489,268 +0.048674,268 +0.048018,268 +0.048568,268 +0.048246,268 +0.048617,268 +0.048178,268 +0.048707,268 +0.048113,268 +0.048557,268 +0.051342,270 +0.051541,270 +0.051119,270 +0.051441,270 +0.051187,270 +0.051469,270 +0.050958,270 +0.051311,270 +0.051083,270 +0.051505,270 +0.051255,270 +0.051646,270 +0.050894,270 +0.051497,270 +0.050975,270 +0.051511,270 +0.050891,270 +0.051461,270 +0.051058,270 +0.051288,270 +0.051191,270 +0.051547,270 +0.051195,270 +0.051279,270 +0.051556,270 +0.051011,270 +0.051468,270 +0.050985,270 +0.051403,270 +0.051001,270 +0.051945,270 +0.050997,270 +0.051442,270 +0.051165,270 +0.051447,270 +0.051047,270 +0.051476,270 +0.051056,270 +0.051486,270 +0.051006,270 +0.051561,270 +0.051181,270 +0.051743,270 +0.051012,270 +0.051433,270 +0.050948,270 +0.051489,270 +0.051084,270 +0.051561,270 +0.051276,270 +0.051648,270 +0.050909,270 +0.051372,270 +0.051003,270 +0.051535,270 +0.050986,270 +0.051464,270 +0.050818,270 +0.051522,270 +0.050939,270 +0.051597,270 +0.050956,270 +0.051504,270 +0.050854,270 +0.051526,270 +0.050830,270 +0.051485,270 +0.050898,270 +0.051404,270 +0.056755,270 +0.052415,270 +0.051187,270 +0.051174,270 +0.051398,270 +0.050898,270 +0.051421,270 +0.051019,270 +0.051525,270 +0.050984,270 +0.051634,270 +0.051033,270 +0.051498,270 +0.050999,270 +0.051528,270 +0.050991,270 +0.051460,270 +0.050919,270 +0.051540,270 +0.051221,270 +0.051615,270 +0.050929,270 +0.051637,270 +0.051243,270 +0.051707,270 +0.051443,270 +0.051519,270 +0.050925,270 +0.051655,270 +0.051174,270 +0.051755,270 +0.049435,272 +0.049712,272 +0.049166,272 +0.049631,272 +0.049171,272 +0.049689,272 +0.049117,272 +0.049701,272 +0.049306,272 +0.049876,272 +0.049086,272 +0.049662,272 +0.049139,272 +0.049734,272 +0.049166,272 +0.049868,272 +0.049411,272 +0.049673,272 +0.049128,272 +0.049832,272 +0.049201,272 +0.049724,272 +0.051215,272 +0.050721,272 +0.049178,272 +0.050670,272 +0.049205,272 +0.050658,272 +0.049243,272 +0.050589,272 +0.049139,272 +0.050582,272 +0.049158,272 +0.050957,272 +0.049261,272 +0.050503,272 +0.049055,272 +0.050749,272 +0.049715,272 +0.051716,272 +0.049319,272 +0.050582,272 +0.049194,272 +0.050733,272 +0.049297,272 +0.051079,272 +0.049202,272 +0.050302,272 +0.049431,272 +0.050735,272 +0.049148,272 +0.050486,272 +0.049299,272 +0.050421,272 +0.049318,272 +0.050266,272 +0.049265,272 +0.050209,272 +0.049803,272 +0.051081,272 +0.049932,272 +0.050271,272 +0.049587,272 +0.050158,272 +0.049592,272 +0.050020,272 +0.049635,272 +0.050008,272 +0.050422,272 +0.049948,272 +0.049773,272 +0.049773,272 +0.050027,272 +0.049700,272 +0.050082,272 +0.049474,272 +0.050181,272 +0.049382,272 +0.050677,272 +0.049202,272 +0.052091,272 +0.049543,272 +0.050200,272 +0.049158,272 +0.050576,272 +0.049119,272 +0.050529,272 +0.049232,272 +0.050573,272 +0.049112,272 +0.050611,272 +0.049247,272 +0.050781,272 +0.049196,272 +0.050974,272 +0.049342,272 +0.050484,272 +0.049243,272 +0.050431,272 +0.049244,272 +0.055936,274 +0.053476,274 +0.053482,274 +0.054314,274 +0.052765,274 +0.054135,274 +0.052769,274 +0.054386,274 +0.053011,274 +0.054183,274 +0.052823,274 +0.054154,274 +0.052873,274 +0.054188,274 +0.052746,274 +0.054069,274 +0.052887,274 +0.054350,274 +0.054909,274 +0.053474,274 +0.053989,274 +0.052878,274 +0.054203,274 +0.052980,274 +0.054277,274 +0.052768,274 +0.054341,274 +0.052917,274 +0.054331,274 +0.052932,274 +0.054125,274 +0.052855,274 +0.054084,274 +0.053899,274 +0.053103,274 +0.054212,274 +0.052839,274 +0.055637,274 +0.053230,274 +0.054193,274 +0.052798,274 +0.054121,274 +0.052883,274 +0.054491,274 +0.053176,274 +0.054155,274 +0.052861,274 +0.054216,274 +0.053711,274 +0.053177,274 +0.054143,274 +0.052794,274 +0.054244,274 +0.052822,274 +0.054396,274 +0.052789,274 +0.055424,274 +0.052788,274 +0.054105,274 +0.052730,274 +0.054005,274 +0.052820,274 +0.054166,274 +0.053538,274 +0.053382,274 +0.054193,274 +0.053835,274 +0.055035,274 +0.055093,274 +0.055100,274 +0.054008,274 +0.055025,274 +0.053819,274 +0.054744,274 +0.053556,274 +0.056024,274 +0.054414,274 +0.053970,274 +0.055162,274 +0.053304,274 +0.055780,274 +0.053383,274 +0.055202,274 +0.053354,274 +0.054638,274 +0.053250,274 +0.054771,274 +0.053860,274 +0.054538,274 +0.054270,274 +0.053734,274 +0.054906,274 +0.053493,274 +0.055184,274 +0.053665,274 +0.053948,274 +0.053557,274 +0.054322,274 +0.053787,274 +0.053672,274 +0.054128,276 +0.054896,276 +0.054354,276 +0.054290,276 +0.054894,276 +0.053618,276 +0.054930,276 +0.053730,276 +0.054892,276 +0.054017,276 +0.056243,276 +0.054117,276 +0.056417,276 +0.054062,276 +0.055307,276 +0.055088,276 +0.054532,276 +0.054670,276 +0.053246,276 +0.054359,276 +0.053118,276 +0.054349,276 +0.053165,276 +0.054354,276 +0.053115,276 +0.054216,276 +0.053150,276 +0.054336,276 +0.054530,276 +0.053243,276 +0.055437,276 +0.053164,276 +0.054328,276 +0.053144,276 +0.054764,276 +0.054260,276 +0.054312,276 +0.056166,276 +0.055131,276 +0.053252,276 +0.053969,276 +0.054267,276 +0.053053,276 +0.054094,276 +0.053045,276 +0.053980,276 +0.053225,276 +0.055082,276 +0.053120,276 +0.053623,276 +0.053141,276 +0.054539,276 +0.053074,276 +0.053560,276 +0.053681,276 +0.053762,276 +0.055634,276 +0.053254,276 +0.053405,276 +0.054822,276 +0.054325,276 +0.053122,276 +0.053438,276 +0.053207,276 +0.053634,276 +0.053511,276 +0.053607,276 +0.053119,276 +0.053694,276 +0.053250,276 +0.053541,276 +0.053725,276 +0.053152,276 +0.053525,276 +0.053539,276 +0.053485,276 +0.053115,276 +0.053708,276 +0.053342,276 +0.053600,276 +0.053844,276 +0.053480,276 +0.053116,276 +0.053744,276 +0.053231,276 +0.053467,276 +0.053083,276 +0.053788,276 +0.053221,276 +0.053674,276 +0.053589,276 +0.053146,276 +0.053575,276 +0.053412,276 +0.053608,276 +0.053061,276 +0.053592,276 +0.053129,276 +0.053909,276 +0.052992,276 +0.056686,278 +0.056121,278 +0.056500,278 +0.056478,278 +0.055945,278 +0.056477,278 +0.055941,278 +0.056564,278 +0.055995,278 +0.056528,278 +0.056414,278 +0.056325,278 +0.056512,278 +0.056066,278 +0.056793,278 +0.056123,278 +0.056582,278 +0.055945,278 +0.056602,278 +0.056426,278 +0.056327,278 +0.056475,278 +0.056034,278 +0.056723,278 +0.056029,278 +0.056717,278 +0.056075,278 +0.056660,278 +0.056743,278 +0.056300,278 +0.056511,278 +0.055932,278 +0.056550,278 +0.056184,278 +0.056580,278 +0.056058,278 +0.056266,278 +0.056487,278 +0.056185,278 +0.056611,278 +0.055784,278 +0.056613,278 +0.056066,278 +0.056499,278 +0.056814,278 +0.055931,278 +0.056476,278 +0.056853,278 +0.056435,278 +0.055918,278 +0.056794,278 +0.057376,278 +0.056570,278 +0.056438,278 +0.055998,278 +0.056864,278 +0.056111,278 +0.056630,278 +0.055871,278 +0.056763,278 +0.056253,278 +0.056417,278 +0.056558,278 +0.055982,278 +0.056670,278 +0.055937,278 +0.056469,278 +0.055934,278 +0.056489,278 +0.056263,278 +0.056659,278 +0.056447,278 +0.056029,278 +0.056709,278 +0.056107,278 +0.056422,278 +0.055829,278 +0.056632,278 +0.056431,278 +0.055938,278 +0.056483,278 +0.055816,278 +0.056627,278 +0.055849,278 +0.056359,278 +0.055843,278 +0.057168,278 +0.056457,278 +0.055904,278 +0.056399,278 +0.055899,278 +0.057277,278 +0.055828,278 +0.056306,278 +0.055929,278 +0.056550,278 +0.056387,278 +0.055821,278 +0.056925,278 +0.056030,278 +0.056039,280 +0.054997,280 +0.056157,280 +0.055203,280 +0.055545,280 +0.055597,280 +0.055629,280 +0.055476,280 +0.055143,280 +0.055797,280 +0.055150,280 +0.055650,280 +0.055104,280 +0.055887,280 +0.055714,280 +0.055130,280 +0.055771,280 +0.055378,280 +0.055863,280 +0.055104,280 +0.055756,280 +0.055104,280 +0.055971,280 +0.055739,280 +0.055151,280 +0.055592,280 +0.055293,280 +0.055854,280 +0.055124,280 +0.055650,280 +0.055182,280 +0.055857,280 +0.055306,280 +0.055486,280 +0.055568,280 +0.055182,280 +0.055911,280 +0.055098,280 +0.055473,280 +0.055237,280 +0.055612,280 +0.055152,280 +0.055658,280 +0.055459,280 +0.055312,280 +0.055762,280 +0.055169,280 +0.055615,280 +0.055152,280 +0.055908,280 +0.055204,280 +0.055705,280 +0.055386,280 +0.055221,280 +0.056019,280 +0.055110,280 +0.055731,280 +0.055292,280 +0.056103,280 +0.055521,280 +0.055667,280 +0.055302,280 +0.055408,280 +0.055828,280 +0.055129,280 +0.055558,280 +0.055119,280 +0.055847,280 +0.055210,280 +0.055756,280 +0.055195,280 +0.055800,280 +0.055859,280 +0.055122,280 +0.055436,280 +0.055093,280 +0.055607,280 +0.055062,280 +0.055480,280 +0.055228,280 +0.055440,280 +0.055857,280 +0.055213,280 +0.055463,280 +0.055038,280 +0.055800,280 +0.055128,280 +0.055669,280 +0.055285,280 +0.055366,280 +0.055615,280 +0.055130,280 +0.055400,280 +0.055457,280 +0.055801,280 +0.056098,280 +0.055713,280 +0.055297,280 +0.055464,280 +0.055897,280 +0.061178,282 +0.060940,282 +0.060385,282 +0.061193,282 +0.060907,282 +0.060585,282 +0.060973,282 +0.061083,282 +0.060710,282 +0.060792,282 +0.060495,282 +0.060994,282 +0.060557,282 +0.060853,282 +0.060833,282 +0.060674,282 +0.061016,282 +0.060525,282 +0.060771,282 +0.060985,282 +0.060689,282 +0.060932,282 +0.060415,282 +0.060865,282 +0.065272,282 +0.060795,282 +0.060861,282 +0.060535,282 +0.060739,282 +0.060891,282 +0.060540,282 +0.060519,282 +0.060961,282 +0.060622,282 +0.060677,282 +0.060447,282 +0.060994,282 +0.060663,282 +0.060750,282 +0.060640,282 +0.060824,282 +0.061117,282 +0.060853,282 +0.060488,282 +0.061053,282 +0.060691,282 +0.060881,282 +0.060800,282 +0.060519,282 +0.060955,282 +0.060484,282 +0.060771,282 +0.061039,282 +0.060620,282 +0.061179,282 +0.060412,282 +0.060860,282 +0.061263,282 +0.060412,282 +0.060798,282 +0.060409,282 +0.061082,282 +0.060783,282 +0.060369,282 +0.060791,282 +0.060680,282 +0.060823,282 +0.060749,282 +0.060454,282 +0.060993,282 +0.060702,282 +0.060723,282 +0.060732,282 +0.060771,282 +0.060674,282 +0.060352,282 +0.060997,282 +0.060970,282 +0.060575,282 +0.060690,282 +0.060320,282 +0.061755,282 +0.060964,282 +0.060513,282 +0.060540,282 +0.060371,282 +0.060994,282 +0.061590,282 +0.060600,282 +0.061419,282 +0.060636,282 +0.060621,282 +0.060998,282 +0.060314,282 +0.060860,282 +0.060558,282 +0.060567,282 +0.060689,282 +0.060647,282 +0.060750,282 +0.058921,284 +0.058936,284 +0.059176,284 +0.058603,284 +0.059371,284 +0.058771,284 +0.060202,284 +0.059112,284 +0.058822,284 +0.059130,284 +0.058993,284 +0.059290,284 +0.059066,284 +0.058856,284 +0.059348,284 +0.059093,284 +0.059185,284 +0.058805,284 +0.059290,284 +0.059479,284 +0.059320,284 +0.059182,284 +0.058853,284 +0.059464,284 +0.059027,284 +0.058661,284 +0.058992,284 +0.058628,284 +0.060052,284 +0.058768,284 +0.058889,284 +0.058936,284 +0.058981,284 +0.059222,284 +0.058769,284 +0.059221,284 +0.059170,284 +0.059063,284 +0.059002,284 +0.058687,284 +0.059421,284 +0.058926,284 +0.058686,284 +0.059023,284 +0.058684,284 +0.059015,284 +0.058624,284 +0.059053,284 +0.059106,284 +0.058753,284 +0.059009,284 +0.058660,284 +0.059045,284 +0.058886,284 +0.059208,284 +0.058953,284 +0.058749,284 +0.059335,284 +0.058585,284 +0.059025,284 +0.059127,284 +0.058718,284 +0.059328,284 +0.058785,284 +0.059074,284 +0.059040,284 +0.059038,284 +0.059060,284 +0.058690,284 +0.059024,284 +0.058809,284 +0.062781,284 +0.062612,284 +0.059017,284 +0.062422,284 +0.061937,284 +0.058787,284 +0.062778,284 +0.058929,284 +0.062076,284 +0.062005,284 +0.058849,284 +0.062248,284 +0.058850,284 +0.061965,284 +0.061794,284 +0.060139,284 +0.063142,284 +0.059049,284 +0.061887,284 +0.061915,284 +0.058789,284 +0.061870,284 +0.058607,284 +0.061869,284 +0.062020,284 +0.058899,284 +0.061880,284 +0.058643,284 +0.062002,284 +0.065981,286 +0.063085,286 +0.065705,286 +0.066395,286 +0.063186,286 +0.065908,286 +0.065949,286 +0.062979,286 +0.065761,286 +0.063785,286 +0.064798,286 +0.064375,286 +0.062746,286 +0.063914,286 +0.063989,286 +0.062908,286 +0.064041,286 +0.063173,286 +0.062956,286 +0.063980,286 +0.063076,286 +0.063271,286 +0.063561,286 +0.062711,286 +0.063212,286 +0.063110,286 +0.063045,286 +0.063386,286 +0.062728,286 +0.063221,286 +0.063484,286 +0.063042,286 +0.063231,286 +0.063095,286 +0.062986,286 +0.063989,286 +0.062867,286 +0.063241,286 +0.063624,286 +0.062800,286 +0.063251,286 +0.063172,286 +0.062871,286 +0.063358,286 +0.062740,286 +0.063326,286 +0.063316,286 +0.062790,286 +0.063419,286 +0.063193,286 +0.062935,286 +0.063784,286 +0.063122,286 +0.064094,286 +0.067483,286 +0.062756,286 +0.063161,286 +0.063158,286 +0.062857,286 +0.063157,286 +0.063145,286 +0.062850,286 +0.063292,286 +0.062744,286 +0.063340,286 +0.063324,286 +0.062920,286 +0.063674,286 +0.063221,286 +0.064689,286 +0.063610,286 +0.062748,286 +0.064264,286 +0.063843,286 +0.062842,286 +0.063239,286 +0.063366,286 +0.063586,286 +0.063319,286 +0.063017,286 +0.063736,286 +0.063332,286 +0.062838,286 +0.063847,286 +0.063231,286 +0.063415,286 +0.063301,286 +0.063123,286 +0.062875,286 +0.063330,286 +0.063156,286 +0.063569,286 +0.063378,286 +0.063101,286 +0.063237,286 +0.063325,286 +0.062859,286 +0.063421,286 +0.062976,286 +0.063373,286 +0.065231,288 +0.065049,288 +0.065202,288 +0.065060,288 +0.064777,288 +0.065043,288 +0.064091,288 +0.063515,288 +0.064231,288 +0.064605,288 +0.063848,288 +0.064219,288 +0.063622,288 +0.063975,288 +0.064850,288 +0.064732,288 +0.065307,288 +0.065324,288 +0.064693,288 +0.065179,288 +0.065310,288 +0.064844,288 +0.065290,288 +0.064943,288 +0.065224,288 +0.065342,288 +0.064823,288 +0.065187,288 +0.063950,288 +0.063716,288 +0.064065,288 +0.064224,288 +0.063697,288 +0.064055,288 +0.063800,288 +0.063614,288 +0.064130,288 +0.063993,288 +0.063986,288 +0.064079,288 +0.063585,288 +0.064072,288 +0.065238,288 +0.065154,288 +0.065189,288 +0.065756,288 +0.064803,288 +0.065795,288 +0.065136,288 +0.064741,288 +0.065112,288 +0.064663,288 +0.065022,288 +0.065250,288 +0.064910,288 +0.065307,288 +0.065144,288 +0.064645,288 +0.065135,288 +0.065097,288 +0.064721,288 +0.065196,288 +0.065120,288 +0.064938,288 +0.065088,288 +0.064598,288 +0.065139,288 +0.065346,288 +0.064673,288 +0.065012,288 +0.065111,288 +0.064899,288 +0.064962,288 +0.065290,288 +0.064877,288 +0.065087,288 +0.065402,288 +0.064656,288 +0.065058,288 +0.064950,288 +0.064708,288 +0.064946,288 +0.064646,288 +0.064967,288 +0.065059,288 +0.064819,288 +0.064989,288 +0.065037,288 +0.064656,288 +0.065418,288 +0.065141,288 +0.065037,288 +0.064033,288 +0.063644,288 +0.063892,288 +0.063866,288 +0.064388,288 +0.065006,288 +0.065188,288 +0.064741,288 +0.066894,290 +0.066439,290 +0.065936,290 +0.066189,290 +0.066283,290 +0.065873,290 +0.066252,290 +0.066334,290 +0.066409,290 +0.066338,290 +0.066291,290 +0.065812,290 +0.066247,290 +0.066345,290 +0.065786,290 +0.066483,290 +0.066503,290 +0.066027,290 +0.065965,290 +0.066054,290 +0.066133,290 +0.066230,290 +0.065766,290 +0.066377,290 +0.066257,290 +0.065813,290 +0.066228,290 +0.066223,290 +0.065864,290 +0.066141,290 +0.066147,290 +0.065878,290 +0.066227,290 +0.066032,290 +0.065745,290 +0.066243,290 +0.066123,290 +0.066314,290 +0.066257,290 +0.066300,290 +0.065877,290 +0.066223,290 +0.066203,290 +0.066044,290 +0.066232,290 +0.066328,290 +0.065944,290 +0.066421,290 +0.066077,290 +0.066266,290 +0.066172,290 +0.066210,290 +0.065911,290 +0.066374,290 +0.065973,290 +0.066060,290 +0.066242,290 +0.065823,290 +0.066221,290 +0.066933,290 +0.065836,290 +0.066934,290 +0.066470,290 +0.065773,290 +0.066684,290 +0.066227,290 +0.065889,290 +0.066280,290 +0.066238,290 +0.065969,290 +0.066354,290 +0.066274,290 +0.065947,290 +0.066260,290 +0.066301,290 +0.065937,290 +0.066530,290 +0.066418,290 +0.066328,290 +0.066159,290 +0.066282,290 +0.065979,290 +0.066425,290 +0.066258,290 +0.066737,290 +0.066388,290 +0.066281,290 +0.065948,290 +0.066293,290 +0.066228,290 +0.066327,290 +0.066376,290 +0.066135,290 +0.066085,290 +0.066672,290 +0.066038,290 +0.066262,290 +0.066243,290 +0.065868,290 +0.067703,290 +0.068319,292 +0.065282,292 +0.066127,292 +0.066207,292 +0.065202,292 +0.065459,292 +0.065341,292 +0.065483,292 +0.065563,292 +0.065269,292 +0.065137,292 +0.065553,292 +0.066180,292 +0.065189,292 +0.065532,292 +0.065671,292 +0.065080,292 +0.065441,292 +0.065277,292 +0.066142,292 +0.065382,292 +0.065143,292 +0.065610,292 +0.065445,292 +0.064946,292 +0.065470,292 +0.065479,292 +0.065502,292 +0.065399,292 +0.065523,292 +0.065342,292 +0.065557,292 +0.065380,292 +0.065116,292 +0.065437,292 +0.065276,292 +0.065088,292 +0.065440,292 +0.065563,292 +0.065113,292 +0.065422,292 +0.067850,292 +0.065228,292 +0.065730,292 +0.065117,292 +0.065829,292 +0.065496,292 +0.065036,292 +0.065513,292 +0.065588,292 +0.065061,292 +0.065361,292 +0.065541,292 +0.065403,292 +0.065816,292 +0.065784,292 +0.065190,292 +0.065547,292 +0.065565,292 +0.065511,292 +0.066175,292 +0.065516,292 +0.065099,292 +0.065469,292 +0.065223,292 +0.065155,292 +0.065435,292 +0.065118,292 +0.065490,292 +0.065777,292 +0.064977,292 +0.065431,292 +0.065489,292 +0.065406,292 +0.065351,292 +0.065495,292 +0.067420,292 +0.065514,292 +0.065273,292 +0.065096,292 +0.065467,292 +0.065280,292 +0.065053,292 +0.065718,292 +0.065420,292 +0.065287,292 +0.065960,292 +0.065394,292 +0.065229,292 +0.066330,292 +0.065249,292 +0.065580,292 +0.065533,292 +0.065008,292 +0.065597,292 +0.065550,292 +0.065213,292 +0.065404,292 +0.065527,292 +0.065221,292 +0.070272,294 +0.069894,294 +0.069447,294 +0.069989,294 +0.070190,294 +0.069640,294 +0.069925,294 +0.069958,294 +0.069810,294 +0.069592,294 +0.070002,294 +0.069833,294 +0.069407,294 +0.070111,294 +0.070008,294 +0.069346,294 +0.069899,294 +0.070334,294 +0.074104,294 +0.069582,294 +0.073152,294 +0.072409,294 +0.069674,294 +0.073156,294 +0.072663,294 +0.072446,294 +0.069788,294 +0.072631,294 +0.073153,294 +0.069503,294 +0.072394,294 +0.072529,294 +0.072809,294 +0.069747,294 +0.073212,294 +0.072429,294 +0.069558,294 +0.072261,294 +0.072765,294 +0.072226,294 +0.069624,294 +0.073477,294 +0.072357,294 +0.069487,294 +0.072482,294 +0.072561,294 +0.072795,294 +0.069543,294 +0.073329,294 +0.072326,294 +0.069506,294 +0.072625,294 +0.072249,294 +0.072306,294 +0.069604,294 +0.072639,294 +0.072928,294 +0.069496,294 +0.072464,294 +0.072455,294 +0.104865,294 +0.123952,294 +0.086093,294 +0.070427,294 +0.070317,294 +0.071085,294 +0.070397,294 +0.070592,294 +0.070531,294 +0.070553,294 +0.070144,294 +0.070019,294 +0.070232,294 +0.070128,294 +0.069989,294 +0.070661,294 +0.070622,294 +0.070228,294 +0.070136,294 +0.070735,294 +0.071010,294 +0.070106,294 +0.072252,294 +0.070903,294 +0.070173,294 +0.071147,294 +0.070767,294 +0.070937,294 +0.070518,294 +0.071030,294 +0.070945,294 +0.070058,294 +0.070628,294 +0.070684,294 +0.070469,294 +0.070892,294 +0.070566,294 +0.070380,294 +0.069266,294 +0.070158,294 +0.066924,296 +0.065989,296 +0.066792,296 +0.071059,296 +0.066570,296 +0.066726,296 +0.066726,296 +0.065890,296 +0.066737,296 +0.066712,296 +0.065697,296 +0.067572,296 +0.066782,296 +0.065651,296 +0.066919,296 +0.066653,296 +0.065605,296 +0.066935,296 +0.069359,296 +0.065816,296 +0.066748,296 +0.069562,296 +0.065701,296 +0.066538,296 +0.066545,296 +0.065713,296 +0.066771,296 +0.066588,296 +0.065797,296 +0.066558,296 +0.066710,296 +0.065667,296 +0.066725,296 +0.067926,296 +0.066058,296 +0.067089,296 +0.066650,296 +0.066134,296 +0.067048,296 +0.066233,296 +0.066122,296 +0.066731,296 +0.065608,296 +0.066676,296 +0.066550,296 +0.065618,296 +0.066656,296 +0.066657,296 +0.065731,296 +0.067849,296 +0.066753,296 +0.065648,296 +0.066515,296 +0.066662,296 +0.065703,296 +0.066702,296 +0.066753,296 +0.065804,296 +0.066577,296 +0.066754,296 +0.065707,296 +0.066704,296 +0.066666,296 +0.065873,296 +0.068169,296 +0.066783,296 +0.065783,296 +0.066619,296 +0.066828,296 +0.065808,296 +0.066684,296 +0.066990,296 +0.065875,296 +0.066807,296 +0.065919,296 +0.065617,296 +0.065887,296 +0.065956,296 +0.066141,296 +0.065855,296 +0.065801,296 +0.065621,296 +0.066005,296 +0.067027,296 +0.065780,296 +0.065900,296 +0.065676,296 +0.065972,296 +0.066076,296 +0.065811,296 +0.065789,296 +0.078423,296 +0.070391,296 +0.088537,296 +0.083934,296 +0.074624,296 +0.074875,296 +0.074878,296 +0.072253,296 +0.072570,296 +0.081909,298 +0.079450,298 +0.073185,298 +0.072747,298 +0.072461,298 +0.072164,298 +0.072826,298 +0.072595,298 +0.072652,298 +0.072581,298 +0.072825,298 +0.078690,298 +0.080412,298 +0.079329,298 +0.080308,298 +0.079911,298 +0.077494,298 +0.073448,298 +0.077835,298 +0.073131,298 +0.081008,298 +0.079288,298 +0.080261,298 +0.076548,298 +0.075494,298 +0.079484,298 +0.082832,298 +0.078936,298 +0.079092,298 +0.078865,298 +0.075786,298 +0.079212,298 +0.077011,298 +0.074678,298 +0.074451,298 +0.072372,298 +0.073247,298 +0.072424,298 +0.074625,298 +0.074462,298 +0.076295,298 +0.073360,298 +0.072790,298 +0.073887,298 +0.074409,298 +0.073295,298 +0.072906,298 +0.073051,298 +0.072361,298 +0.072727,298 +0.072425,298 +0.073496,298 +0.072491,298 +0.072717,298 +0.072248,298 +0.073342,298 +0.072399,298 +0.072332,298 +0.072550,298 +0.072592,298 +0.072652,298 +0.073236,298 +0.076327,298 +0.074498,298 +0.073960,298 +0.072665,298 +0.072811,298 +0.073851,298 +0.078967,298 +0.077097,298 +0.076110,298 +0.075197,298 +0.075843,298 +0.075148,298 +0.076042,298 +0.074501,298 +0.075122,298 +0.073719,298 +0.074472,298 +0.074512,298 +0.073973,298 +0.074826,298 +0.073913,298 +0.073266,298 +0.072438,298 +0.073866,298 +0.073519,298 +0.074649,298 +0.072506,298 +0.073378,298 +0.073498,298 +0.072656,298 +0.073167,298 +0.074034,298 +0.073469,298 +0.072580,298 +0.073423,298 +0.073679,298 +0.078404,298 +0.079920,298 diff --git a/buch/papers/multiplikation/code/meas/winograd.txt b/buch/papers/multiplikation/code/meas/winograd.txt new file mode 100644 index 0000000..970a3f4 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/winograd.txt @@ -0,0 +1,110 @@ +0.000001,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,2 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000000,4 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000002,8 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000011,16 +0.000021,16 +0.000011,16 +0.000011,16 +0.000092,32 +0.000092,32 +0.000081,32 +0.000081,32 +0.000081,32 +0.000081,32 +0.000088,32 +0.000079,32 +0.000079,32 +0.000079,32 +0.000670,64 +0.000739,64 +0.000609,64 +0.000609,64 +0.000700,64 +0.000648,64 +0.000626,64 +0.000626,64 +0.000626,64 +0.000626,64 +0.005321,128 +0.005286,128 +0.005180,128 +0.005223,128 +0.005249,128 +0.005299,128 +0.005205,128 +0.005268,128 +0.005464,128 +0.005378,128 +0.053123,256 +0.052325,256 +0.052729,256 +0.052930,256 +0.052207,256 +0.053178,256 +0.052122,256 +0.052681,256 +0.052965,256 +0.052486,256 +0.527028,512 +0.525201,512 +0.521822,512 +0.525147,512 +0.525241,512 +0.527725,512 +0.526321,512 +0.526479,512 +0.524020,512 +0.520768,512 +4.732299,1024 +4.617253,1024 +4.647425,1024 +4.519233,1024 +4.917471,1024 +4.564929,1024 +4.870771,1024 +4.555407,1024 +4.727473,1024 +4.559349,1024 +136.409028,2048 +136.390557,2048 +136.541672,2048 +136.598491,2048 +137.720790,2048 +136.825926,2048 +136.367686,2048 +136.650627,2048 +136.642195,2048 +136.622805,2048 diff --git a/buch/papers/multiplikation/code/meas_1024.pdf b/buch/papers/multiplikation/code/meas_1024.pdf Binary files differnew file mode 100644 index 0000000..f489a7d --- /dev/null +++ b/buch/papers/multiplikation/code/meas_1024.pdf diff --git a/buch/papers/multiplikation/code/meas_1024.txt b/buch/papers/multiplikation/code/meas_1024.txt new file mode 100644 index 0000000..ab507a2 --- /dev/null +++ b/buch/papers/multiplikation/code/meas_1024.txt @@ -0,0 +1,6 @@ +2.000000000000000000e+00 4.000000000000000000e+00 8.000000000000000000e+00 1.600000000000000000e+01 3.200000000000000000e+01 6.400000000000000000e+01 1.280000000000000000e+02 2.560000000000000000e+02 5.120000000000000000e+02 1.024000000000000000e+03 +1.859664916992187500e-05 8.296966552734375000e-05 5.471706390380859375e-04 3.053665161132812500e-03 2.407431602478027344e-02 1.868948936462402344e-01 1.563691616058349609e+00 1.100623321533203125e+01 8.547679090499877930e+01 7.507572824954986572e+02 +8.106231689453125000e-06 9.012222290039062500e-05 7.290840148925781250e-04 4.970788955688476562e-03 2.718997001647949219e-02 2.652802467346191406e-01 1.777865171432495117e+00 1.327002429962158203e+01 1.053971357345581055e+02 8.473208103179931641e+02 +2.098083496093750000e-05 1.742839813232421875e-04 9.438991546630859375e-04 4.754066467285156250e-03 4.852557182312011719e-02 2.204136848449707031e-01 1.447179555892944336e+00 9.938656568527221680e+00 6.396102952957153320e+01 4.614939928054809570e+02 +2.789497375488281250e-05 1.049041748046875000e-04 5.528926849365234375e-04 4.555702209472656250e-03 1.871442794799804688e-02 1.530685424804687500e-01 1.194762229919433594e+00 8.298985958099365234e+00 6.836994743347167969e+01 5.373736469745635986e+02 +1.835823059082031250e-05 7.867813110351562500e-06 1.001358032226562500e-05 5.412101745605468750e-05 4.267692565917968750e-05 1.184940338134765625e-04 2.441406250000000000e-04 6.957054138183593750e-04 2.217054367065429688e-03 1.880884170532226562e-02 diff --git a/buch/papers/multiplikation/code/meas_128.pdf b/buch/papers/multiplikation/code/meas_128.pdf Binary files differnew file mode 100644 index 0000000..c54648f --- /dev/null +++ b/buch/papers/multiplikation/code/meas_128.pdf diff --git a/buch/papers/multiplikation/code/meas_128.txt b/buch/papers/multiplikation/code/meas_128.txt new file mode 100644 index 0000000..f3a5beb --- /dev/null +++ b/buch/papers/multiplikation/code/meas_128.txt @@ -0,0 +1,6 @@ +2.000000000000000000e+00 4.000000000000000000e+00 8.000000000000000000e+00 1.600000000000000000e+01 3.200000000000000000e+01 6.400000000000000000e+01 1.280000000000000000e+02 +1.239776611328125000e-05 5.507469177246093750e-05 3.888607025146484375e-04 2.762079238891601562e-03 2.097773551940917969e-02 1.672370433807373047e-01 1.410297393798828125e+00 +5.483627319335937500e-06 5.888938903808593750e-05 3.871917724609375000e-04 3.364324569702148438e-03 2.481031417846679688e-02 2.047052383422851562e-01 1.712310314178466797e+00 +1.358985900878906250e-05 1.189708709716796875e-04 6.430149078369140625e-04 5.586385726928710938e-03 3.101944923400878906e-02 1.874091625213623047e-01 1.327976465225219727e+00 +1.978874206542968750e-05 7.224082946777343750e-05 4.618167877197265625e-04 3.294944763183593750e-03 1.755571365356445312e-02 1.360688209533691406e-01 1.028253555297851562e+00 +1.215934753417968750e-05 5.722045898437500000e-06 2.074241638183593750e-05 4.339218139648437500e-05 2.813339233398437500e-05 5.292892456054687500e-05 1.921653747558593750e-04 diff --git a/buch/papers/multiplikation/code/meas_16.pdf b/buch/papers/multiplikation/code/meas_16.pdf Binary files differnew file mode 100644 index 0000000..c2c3834 --- /dev/null +++ b/buch/papers/multiplikation/code/meas_16.pdf diff --git a/buch/papers/multiplikation/code/meas_16.txt b/buch/papers/multiplikation/code/meas_16.txt new file mode 100644 index 0000000..69f85bd --- /dev/null +++ b/buch/papers/multiplikation/code/meas_16.txt @@ -0,0 +1,6 @@ +2.000000000000000000e+00 4.000000000000000000e+00 8.000000000000000000e+00 1.600000000000000000e+01 +1.549720764160156250e-05 6.914138793945312500e-05 5.259513854980468750e-04 2.841711044311523438e-03 +6.914138793945312500e-06 7.557868957519531250e-05 4.496574401855468750e-04 3.437519073486328125e-03 +1.883506774902343750e-05 1.499652862548828125e-04 8.952617645263671875e-04 4.348516464233398438e-03 +2.694129943847656250e-05 1.082420349121093750e-04 4.131793975830078125e-04 2.580165863037109375e-03 +1.621246337890625000e-05 1.120567321777343750e-05 9.298324584960937500e-06 1.239776611328125000e-05 diff --git a/buch/papers/multiplikation/code/meas_256.pdf b/buch/papers/multiplikation/code/meas_256.pdf Binary files differnew file mode 100644 index 0000000..2eb177b --- /dev/null +++ b/buch/papers/multiplikation/code/meas_256.pdf diff --git a/buch/papers/multiplikation/code/meas_256.txt b/buch/papers/multiplikation/code/meas_256.txt new file mode 100644 index 0000000..62e77cb --- /dev/null +++ b/buch/papers/multiplikation/code/meas_256.txt @@ -0,0 +1,6 @@ +2.000000000000000000e+00 4.000000000000000000e+00 8.000000000000000000e+00 1.600000000000000000e+01 3.200000000000000000e+01 6.400000000000000000e+01 1.280000000000000000e+02 2.560000000000000000e+02 +1.144409179687500000e-05 5.507469177246093750e-05 3.774166107177734375e-04 3.177404403686523438e-03 2.508044242858886719e-02 2.120554447174072266e-01 1.431464910507202148e+00 1.076412820816040039e+01 +5.722045898437500000e-06 5.745887756347656250e-05 4.494190216064453125e-04 3.611087799072265625e-03 3.317713737487792969e-02 2.292332649230957031e-01 2.090558290481567383e+00 1.306217479705810547e+01 +1.788139343261718750e-05 1.168251037597656250e-04 5.981922149658203125e-04 4.416465759277343750e-03 3.002405166625976562e-02 2.104022502899169922e-01 1.488269329071044922e+00 9.164114713668823242e+00 +1.955032348632812500e-05 7.224082946777343750e-05 3.829002380371093750e-04 2.558946609497070312e-03 2.043128013610839844e-02 1.361320018768310547e-01 1.089214324951171875e+00 8.553364753723144531e+00 +2.384185791015625000e-05 5.245208740234375000e-06 6.437301635742187500e-06 2.455711364746093750e-05 4.148483276367187500e-05 8.702278137207031250e-05 3.793239593505859375e-04 6.709098815917968750e-04 diff --git a/buch/papers/multiplikation/code/meas_32.pdf b/buch/papers/multiplikation/code/meas_32.pdf Binary files differnew file mode 100644 index 0000000..b926095 --- /dev/null +++ b/buch/papers/multiplikation/code/meas_32.pdf diff --git a/buch/papers/multiplikation/code/meas_32.txt b/buch/papers/multiplikation/code/meas_32.txt new file mode 100644 index 0000000..0fdc18d --- /dev/null +++ b/buch/papers/multiplikation/code/meas_32.txt @@ -0,0 +1,6 @@ +2.000000000000000000e+00 4.000000000000000000e+00 8.000000000000000000e+00 1.600000000000000000e+01 3.200000000000000000e+01 +1.239776611328125000e-05 5.507469177246093750e-05 3.802776336669921875e-04 2.795457839965820312e-03 2.073740959167480469e-02 +5.006790161132812500e-06 5.841255187988281250e-05 3.988742828369140625e-04 3.505229949951171875e-03 2.511668205261230469e-02 +1.335144042968750000e-05 1.149177551269531250e-04 6.387233734130859375e-04 4.088878631591796875e-03 2.969408035278320312e-02 +1.955032348632812500e-05 8.058547973632812500e-05 3.998279571533203125e-04 2.514839172363281250e-03 1.842117309570312500e-02 +1.215934753417968750e-05 8.583068847656250000e-06 6.675720214843750000e-06 2.694129943847656250e-05 2.789497375488281250e-05 diff --git a/buch/papers/multiplikation/code/meas_4096.pdf b/buch/papers/multiplikation/code/meas_4096.pdf Binary files differnew file mode 100644 index 0000000..ecf2cff --- /dev/null +++ b/buch/papers/multiplikation/code/meas_4096.pdf diff --git a/buch/papers/multiplikation/code/meas_4096.txt b/buch/papers/multiplikation/code/meas_4096.txt new file mode 100644 index 0000000..cae1bc6 --- /dev/null +++ b/buch/papers/multiplikation/code/meas_4096.txt @@ -0,0 +1,6 @@ +2.048000000000000000e+03 4.096000000000000000e+03 +6.154183513402938843e+03 4.681333474493026733e+04 +7.375929301261901855e+03 5.846600176072120667e+04 +3.860573610544204712e+03 2.290433094644546509e+04 +4.884613198995590210e+03 4.359707747149467468e+04 +2.157390117645263672e-01 1.491588830947875977e+00 diff --git a/buch/papers/multiplikation/code/meas_512.pdf b/buch/papers/multiplikation/code/meas_512.pdf Binary files differnew file mode 100644 index 0000000..4d8f04b --- /dev/null +++ b/buch/papers/multiplikation/code/meas_512.pdf diff --git a/buch/papers/multiplikation/code/meas_512.txt b/buch/papers/multiplikation/code/meas_512.txt new file mode 100644 index 0000000..1b2089d --- /dev/null +++ b/buch/papers/multiplikation/code/meas_512.txt @@ -0,0 +1,6 @@ +2.000000000000000000e+00 4.000000000000000000e+00 8.000000000000000000e+00 1.600000000000000000e+01 3.200000000000000000e+01 6.400000000000000000e+01 1.280000000000000000e+02 2.560000000000000000e+02 5.120000000000000000e+02 +1.358985900878906250e-05 5.817413330078125000e-05 4.582405090332031250e-04 3.082036972045898438e-03 2.020335197448730469e-02 1.636352539062500000e-01 1.280331134796142578e+00 1.093638324737548828e+01 8.666778349876403809e+01 +6.198883056640625000e-06 6.270408630371093750e-05 4.820823669433593750e-04 3.279924392700195312e-03 2.462601661682128906e-02 2.034928798675537109e-01 1.630282878875732422e+00 1.372955965995788574e+01 1.104150602817535400e+02 +1.621246337890625000e-05 1.292228698730468750e-04 6.661415100097656250e-04 4.615545272827148438e-03 2.836179733276367188e-02 1.843333244323730469e-01 1.310264825820922852e+00 9.937873125076293945e+00 6.667592120170593262e+01 +2.217292785644531250e-05 7.486343383789062500e-05 4.060268402099609375e-04 2.455949783325195312e-03 1.685857772827148438e-02 1.299629211425781250e-01 1.173750638961791992e+00 8.648802757263183594e+00 6.876212453842163086e+01 +2.431869506835937500e-05 5.006790161132812500e-06 6.914138793945312500e-06 8.106231689453125000e-06 2.717971801757812500e-05 6.461143493652343750e-05 1.480579376220703125e-04 5.280971527099609375e-04 3.390312194824218750e-03 diff --git a/buch/papers/multiplikation/code/meas_64.pdf b/buch/papers/multiplikation/code/meas_64.pdf Binary files differnew file mode 100644 index 0000000..92af29b --- /dev/null +++ b/buch/papers/multiplikation/code/meas_64.pdf diff --git a/buch/papers/multiplikation/code/meas_64.txt b/buch/papers/multiplikation/code/meas_64.txt new file mode 100644 index 0000000..b4fc7a1 --- /dev/null +++ b/buch/papers/multiplikation/code/meas_64.txt @@ -0,0 +1,6 @@ +2.000000000000000000e+00 4.000000000000000000e+00 8.000000000000000000e+00 1.600000000000000000e+01 3.200000000000000000e+01 6.400000000000000000e+01 +2.145767211914062500e-05 6.175041198730468750e-05 4.422664642333984375e-04 3.235816955566406250e-03 2.289748191833496094e-02 1.855163574218750000e-01 +1.025199890136718750e-05 6.341934204101562500e-05 5.202293395996093750e-04 3.566026687622070312e-03 3.026723861694335938e-02 2.312932014465332031e-01 +2.384185791015625000e-05 1.807212829589843750e-04 6.821155548095703125e-04 4.796504974365234375e-03 2.968001365661621094e-02 2.291278839111328125e-01 +3.504753112792968750e-05 1.106262207031250000e-04 4.322528839111328125e-04 2.696514129638671875e-03 2.188420295715332031e-02 1.477701663970947266e-01 +3.218650817871093750e-05 1.144409179687500000e-05 7.390975952148437500e-06 4.625320434570312500e-05 3.814697265625000000e-05 5.435943603515625000e-05 diff --git a/buch/papers/multiplikation/code/meas_8.pdf b/buch/papers/multiplikation/code/meas_8.pdf Binary files differnew file mode 100644 index 0000000..16d177d --- /dev/null +++ b/buch/papers/multiplikation/code/meas_8.pdf diff --git a/buch/papers/multiplikation/code/meas_8.txt b/buch/papers/multiplikation/code/meas_8.txt new file mode 100644 index 0000000..6cf6515 --- /dev/null +++ b/buch/papers/multiplikation/code/meas_8.txt @@ -0,0 +1,6 @@ +2.000000000000000000e+00 4.000000000000000000e+00 8.000000000000000000e+00 +1.144409179687500000e-05 5.412101745605468750e-05 3.845691680908203125e-04 +4.768371582031250000e-06 5.698204040527343750e-05 5.209445953369140625e-04 +1.382827758789062500e-05 1.180171966552734375e-04 6.978511810302734375e-04 +1.859664916992187500e-05 7.033348083496093750e-05 3.886222839355468750e-04 +1.525878906250000000e-05 4.529953002929687500e-06 7.390975952148437500e-06 diff --git a/buch/papers/multiplikation/code/test.tex b/buch/papers/multiplikation/code/test.tex new file mode 100644 index 0000000..40ea239 --- /dev/null +++ b/buch/papers/multiplikation/code/test.tex @@ -0,0 +1,92 @@ +% This file was created by tikzplotlib v0.9.8. +\begin{tikzpicture} + +\definecolor{color0}{rgb}{0.886274509803922,0.290196078431373,0.2} +\definecolor{color1}{rgb}{0.203921568627451,0.541176470588235,0.741176470588235} +\definecolor{color2}{rgb}{0.596078431372549,0.556862745098039,0.835294117647059} +\definecolor{color3}{rgb}{0.984313725490196,0.756862745098039,0.368627450980392} + +\begin{axis}[ +axis background/.style={fill=white!89.8039215686275!black}, +axis line style={white}, +legend cell align={left}, +legend style={ + fill opacity=0.8, + draw opacity=1, + text opacity=1, + at={(0.03,0.97)}, + anchor=north west, + draw=white!80!black, + fill=white!89.8039215686275!black +}, +tick align=outside, +tick pos=left, +x grid style={white}, +xlabel={n}, +xmajorgrids, +xmin=-4.3, xmax=134.3, +xtick style={color=white!33.3333333333333!black}, +y grid style={white}, +ylabel={time (s)}, +ymajorgrids, +ymin=-0.0834965705871582, ymax=1.75356960296631, +ytick style={color=white!33.3333333333333!black} +] +\addplot [line width=2pt, color0] +table {% +2 1.57356262207031e-05 +4 5.96046447753906e-05 +8 0.000428915023803711 +16 0.00276041030883789 +32 0.0217020511627197 +64 0.160412073135376 +128 1.3419406414032 +}; +\addlegendentry{Standard MM} +\addplot [line width=2pt, color1] +table {% +2 6.43730163574219e-06 +4 6.69956207275391e-05 +8 0.00048065185546875 +16 0.00336766242980957 +32 0.0257236957550049 +64 0.231612205505371 +128 1.67006659507751 +}; +\addlegendentry{Divide and conquer MM} +\addplot [line width=2pt, color2] +table {% +2 2.90870666503906e-05 +4 0.000133275985717773 +8 0.000703096389770508 +16 0.00453472137451172 +32 0.0282893180847168 +64 0.181003332138062 +128 1.40816903114319 +}; +\addlegendentry{Strassen MM} +\addplot [line width=2pt, white!46.6666666666667!black] +table {% +2 2.19345092773438e-05 +4 9.01222229003906e-05 +8 0.000406503677368164 +16 0.00258469581604004 +32 0.0171687602996826 +64 0.126588344573975 +128 1.02698183059692 +}; +\addlegendentry{Winograd MM} +\addplot [line width=2pt, color3] +table {% +2 1.45435333251953e-05 +4 1.1444091796875e-05 +8 7.39097595214844e-06 +16 1.28746032714844e-05 +32 2.83718109130859e-05 +64 0.000111103057861328 +128 0.000159025192260742 +}; +\addlegendentry{np MM} +\end{axis} + +\end{tikzpicture} diff --git a/buch/papers/multiplikation/einlteung.tex b/buch/papers/multiplikation/einlteung.tex new file mode 100755 index 0000000..9b03a4e --- /dev/null +++ b/buch/papers/multiplikation/einlteung.tex @@ -0,0 +1,51 @@ +% +% einleitung.tex -- Beispiel-File für die Einleitung +% +% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil +% +\section{Matrizenmultiplikation \label{multiplikation:section:einleitung}} +\rhead{Matrizenmultiplikation} + +Die Multiplikation zweier Matrizen ist eine wichtige Operation, die in verschiedensten Teilen der Mathematik Anwendung findet. +Die Beschreibung der Multiplikation aus der Definition 2.10: +Eine $m\times n$-Matrix $\mathbf{A}\in M_{m\times n}(\Bbbk)$ und eine +$n\times p$-Matrix $\mathbf{B}\in M_{n\times p}(\Bbbk)$ haben als Produkt +eine $m\times p$-Matrix $\mathbf{C}=\mathbf{AB}\in M_{m\times p}(\Bbbk)$ mit den +Koeffizienten +\begin{equation} +C_{ij} = \sum_{k=1}^n A_{ik} B_{kj}. +\label{multiplikation:eq:MM} +\end{equation} +Grafisch kann die Matrizenmultiplikation $\mathbf{AB}=\mathbf{C}$ wie in Abbildung \ref{multiplikation:fig:mm_viz} visualisiert werden. +Im Fall einer Matrizengr\"osse von $2\times 2$ kann die Matrixgleichung +\begin{equation} + \begin{bmatrix} +A_{11} & A_{12}\\ +A_{21} & A_{22} +\end{bmatrix} +\begin{bmatrix} +B_{11} & B_{12}\\ +B_{21} & B_{22} +\end{bmatrix} += +\begin{bmatrix} +C_{11} & C_{12}\\ +C_{21} & C_{22} +\end{bmatrix} +\end{equation} +explizt als Gleichungen +\begin{equation} \label{multiplikation:eq:MM_exp} +\begin{split} +C_{11} &= A_{11} \cdot B_{11} + A_{12} \cdot B_{21}\\ +C_{12} &= A_{11} \cdot B_{12} + A_{12} \cdot B_{22}\\ +C_{21} &= A_{21} \cdot B_{11} + A_{22} \cdot B_{21}\\ +C_{22} &= A_{21} \cdot B_{12} + A_{22} \cdot B_{22} +\end{split} +\end{equation} +der einzelnen Terme geschrieben werden. +\begin{figure} + \center + \includegraphics[]{papers/multiplikation/images/mm_visualisation} + \caption{Grafische Illustration der Matrizenmultiplikation} + \label{multiplikation:fig:mm_viz} +\end{figure} diff --git a/buch/papers/multiplikation/images/algo_tab.pdf b/buch/papers/multiplikation/images/algo_tab.pdf Binary files differnew file mode 100644 index 0000000..7f2bb4f --- /dev/null +++ b/buch/papers/multiplikation/images/algo_tab.pdf diff --git a/buch/papers/multiplikation/images/algo_tab.tex b/buch/papers/multiplikation/images/algo_tab.tex new file mode 100644 index 0000000..50ce392 --- /dev/null +++ b/buch/papers/multiplikation/images/algo_tab.tex @@ -0,0 +1,122 @@ +\documentclass{article} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{algorithm} +\usepackage{algpseudocode} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{pgfplots} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{multicol} +\usepackage{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usetikzlibrary{automata,positioning} +\usetikzlibrary{decorations.text} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + + + +\begin{table}[t] + \begin{tabular}{ll} + \begin{minipage}{0.4\textwidth} + \begin{algorithm}[H]\footnotesize\caption{} + \label{multiplikation:alg:b1} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \Function{B1}{$a, b$} + \State \textbf{return} $a+b$ + \EndFunction + \State + \State + \end{algorithmic} + \end{algorithm} + \end{minipage} + & + \begin{minipage}{0.4\textwidth} + \begin{algorithm}[H]\footnotesize\caption{} + \label{multiplikation:alg:b2} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \Function{B2}{$a, b$} + \State $ x \gets a+b $ + \State $ y \gets a \cdot b $ + \State \textbf{return} $x+y$ + \EndFunction + \end{algorithmic} +\end{algorithm} + + \end{minipage} + \end{tabular} +\end{table} + +\begin{table} + \begin{tabular}[t]{ll} + \begin{minipage}{0.4\textwidth} + \begin{algorithm}[H]\footnotesize\caption{} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \label{multiplikation:alg:linear} + \Function{L}{$\mathbf{a}, \mathbf{b}$,n} + \State $ sum \gets 0$ + \For{$i = 0,1,2 \dots,n$} + \State $ sum \gets sum + A[i] \cdot B[i] $ + \EndFor + + \State \textbf{return} $sum$ + + \EndFunction + \State + \State + \end{algorithmic} + \end{algorithm} + \end{minipage} + & + \begin{minipage}{0.4\textwidth} + \begin{algorithm}[H]\footnotesize\caption{} + \label{multiplikation:alg:q1} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \Function{Q}{$\mathbf{A}, \mathbf{B}$,n} + \State $ sum \gets 0$ + \For{$i = 0,1,2 \dots,n$} + \For{$j = 0,1,2 \dots,n$} + \State $ sum \gets sum + A[i] \cdot B[j] $ + \EndFor + \EndFor + \State \textbf{return} $sum$ + \EndFunction + \end{algorithmic} + \end{algorithm} + \end{minipage} + \end{tabular} +\end{table} + +dhdfh +\end{document} diff --git a/buch/papers/multiplikation/images/bigo.pdf b/buch/papers/multiplikation/images/bigo.pdf Binary files differnew file mode 100644 index 0000000..2519553 --- /dev/null +++ b/buch/papers/multiplikation/images/bigo.pdf diff --git a/buch/papers/multiplikation/images/bigo.tex b/buch/papers/multiplikation/images/bigo.tex new file mode 100644 index 0000000..63fd0fd --- /dev/null +++ b/buch/papers/multiplikation/images/bigo.tex @@ -0,0 +1,112 @@ +\documentclass[border=10pt,varwidth]{standalone} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{pgfplots} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usetikzlibrary{automata,positioning} +\usetikzlibrary{decorations.text} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + +\begin{tikzpicture} + +\begin{axis}[ + xmode=log, ymode=log, + xmin=1e-0, xmax=5000, + ymin=10e-1, ymax=1e7, + grid=both, + major grid style={black!50}, + xlabel = data input size, + ylabel = {time}, + legend pos=north west, + very thick, + yticklabels=\empty, + xticklabels=\empty, + scale only axis=true, + width=12cm, height=8cm, + legend cell align={left} + ] +\addplot [ + domain= 1:5000, + samples=100, + color=red, +] +{1}; +\addlegendentry{$\mathcal{O}(1)$} +\addplot [ + domain= 1:5000, + samples=100, + color=green, +] +{x}; +\addlegendentry{$\mathcal{O}(n)$} +\addplot [ + domain= 1:50000, + samples=100, + color=blue, +] +{x^2}; +\addlegendentry{$\mathcal{O}\left(n^2\right)$} +\addplot [ + domain= 1:500, + samples=100, + color=purple, +] +{x^3}; +\addlegendentry{$\mathcal{O}\left(n^3\right)$} +\addplot [ + domain= 1:500, + samples=100, + color=black, +] +{exp(x) - 1.7}; +\addlegendentry{$\mathcal{O}\left(e^n\right)$} +\addplot [ + domain= 1:5000, + samples=100, + color=orange, +] +{log2(x)+1}; +\addlegendentry{$\mathcal{O}(\log n)$} + +\addplot [ + domain= 1:5000, + samples=100, + color=gray, +] +{x*log2(x)+1}; +\addlegendentry{$\mathcal{O}(n \log n)$} +\end{axis} +\end{tikzpicture} + +\end{document} diff --git a/buch/papers/multiplikation/images/c_meas_4096.pdf b/buch/papers/multiplikation/images/c_meas_4096.pdf Binary files differnew file mode 100644 index 0000000..304015a --- /dev/null +++ b/buch/papers/multiplikation/images/c_meas_4096.pdf diff --git a/buch/papers/multiplikation/images/meas_1024.pdf b/buch/papers/multiplikation/images/meas_1024.pdf Binary files differnew file mode 100644 index 0000000..70c7ec1 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_1024.pdf diff --git a/buch/papers/multiplikation/images/meas_c.pdf b/buch/papers/multiplikation/images/meas_c.pdf Binary files differnew file mode 100644 index 0000000..521151e --- /dev/null +++ b/buch/papers/multiplikation/images/meas_c.pdf diff --git a/buch/papers/multiplikation/images/meas_c.tex b/buch/papers/multiplikation/images/meas_c.tex new file mode 100644 index 0000000..12d3527 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_c.tex @@ -0,0 +1,150 @@ + +\documentclass[border=10pt,varwidth]{standalone} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{pgfplots} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usepackage{pgfplotstable} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usetikzlibrary{automata,positioning} +\usetikzlibrary{decorations.text} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + +\begin{tikzpicture} +\begin{axis}[ +xmode=log, ymode=log, +xmin=30, xmax=10000, +ymin=1e-5, ymax=2e4, +grid=both, +major grid style={black!50}, +xlabel = data input ($n$), +ylabel = {time ($s$)}, +legend pos=north west, +very thick, +scale only axis=true, +width=12cm, height=8cm, + log basis x={10}, + legend cell align={left} +] +\addlegendentry{Winograd} +\addplot[ color=blue, + error bars/.cd, y dir=both, y explicit, +] coordinates { +%(2,1e-07) +%(4,5e-07) +%(8,2.0000000000000003e-06) +%(16,1.1999999999999999e-05) +(32,8.329999999999999e-05) +(64,0.0006479) +(128,0.0052873) +(256,0.052674599999999995) +(512,0.5249752000000001) +(1024,4.671161) +(2048,136.6769777) +(4096,1179.261048) +(8192,10071.512655) +}; +\addlegendentry{Strassen} +\addplot [ color=black, +]coordinates { +%(2,1e-07) +%(4,2.1e-06) +%(8,1.13e-05) +%(16,7.07e-05) +(32,0.0005041) +(64,0.003596) +(128,0.0254481) +(256,0.1781817) +(512,1.2555) +(1024,8.8302371) +(2048,61.9018691) +(4096,414.648901) +(8192,3014.235467) +}; + +\addlegendentry{MM div and conq} +\addplot[ color=green, +] coordinates { +%(2,3e-07) +%(4,1.1e-06) +%(8,8.6e-06) +%(16,7.819999999999999e-05) +(32,0.0005940000000000001) +(64,0.0044339) +(128,0.0348443) +(256,0.29484730000000003) +(512,2.2228507) +(1024,17.659234500000004) +(2048,141.6103936) +(4096,1147.106865) +(8192,9606.402522) +}; + +\addlegendentry{MM} +\addplot [ color=red, +]coordinates { +%(2,0.0) +%(4,3e-07) +%(8,1.8000000000000001e-06) +%(16,1.1999999999999999e-05) +(32,8.93e-05) +(64,0.0006923) +(128,0.0056842) +(256,0.051771500000000005) +(512,0.5062468000000001) +(1024,4.5048086) +(2048,129.2894619) +(4096,1111.312696) +(8192,9376.173434) +}; +\addlegendentry{BLAS} +\addplot[ color=purple, +] coordinates { +%(2,1e-07) +%(4,0.0) +%(8,1e-07) +%(16,3.9e-06) +(32,2.1000000000000002e-05) +(64,0.00018580000000000002) +(128,0.0012649) +(256,0.0096489) +(512,0.0773765) +(1024,0.7643868) +(2048,7.6320993999999995) +(4096,55.845038) +(8192,478.429957) +}; +\end{axis} +\end{tikzpicture} + +\end{document} diff --git a/buch/papers/multiplikation/images/meas_python.pdf b/buch/papers/multiplikation/images/meas_python.pdf Binary files differnew file mode 100644 index 0000000..fe89773 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_python.pdf diff --git a/buch/papers/multiplikation/images/meas_python.tex b/buch/papers/multiplikation/images/meas_python.tex new file mode 100644 index 0000000..ad43cf6 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_python.tex @@ -0,0 +1,145 @@ + +\documentclass[border=10pt,varwidth]{standalone} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{pgfplots} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usepackage{pgfplotstable} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usetikzlibrary{automata,positioning} +\usetikzlibrary{decorations.text} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + +\begin{tikzpicture} +\begin{axis}[ +xmode=log, ymode=log, +xmin=30, xmax=4200, +ymin=0.01, ymax=70000, +grid=both, +major grid style={black!50}, +xlabel = data input ($n$), +ylabel = {time ($s$)}, +legend pos=north west, +very thick, +scale only axis=true, +width=12cm, height=8cm, + log basis x={10}, + legend cell align={left} +] +\addlegendentry{Winograd} +\addplot[ color=blue, +] coordinates { +% (2, 2.7895e-05 ) +% (4, 0.000104904) +% (8, 0.000552893) +% (16, 0.0045557 ) +(32, 0.0187144 ) +(64, 0.153069 ) +(128, 1.19476 ) +(256, 8.29899 ) +(512, 68.3699 ) +(1024,537.374 ) +(2046,4884.61) +(4096,43597.1) +}; +\addlegendentry{Strassen} +\addplot [ color=black, +]coordinates { + % (2,2.09808e-05 ) + % (4,0.000174284 ) + % (8,0.000943899 ) + % (16,0.00475407 ) + (32,0.0485256 ) + (64,0.220414 ) + (128,1.44718 ) + (256,9.93866 ) + (512,63.961 ) +(1024,461.494 ) +(2046,3860.57) +(4096,22904.3) +}; + +\addlegendentry{MM div and conq} +\addplot[ color=green, +] coordinates { + % (2,8.10623e-06 ) + % (4,9.01222e-05 ) + % (8,0.000729084 ) + % (16,0.00497079 ) + (32,0.02719 ) + (64,0.26528 ) + (128,1.77787 ) + (256,13.27 ) + (512,105.397 ) +(1024,847.321 ) +(2046,7375.93) +(4096,58466) +}; + +\addlegendentry{MM} +\addplot [ color=red, +]coordinates { + % (2,1.85966e-05) + % (4,8.29697e-05 ) + % (8,0.000547171) + % (16,0.00305367 ) + (32, 0.0240743 ) + (64, 0.186895 ) + (128, 1.56369 ) + (256, 11.0062 ) + (512, 85.4768) +(1024,750.757 ) +(2046,6154.18) +(4096,46813.3) +}; +% \addlegendentry{NumPy} +% \addplot[ color=blue, +% ] coordinates { +% % (2,1.83582e-05 ) +% % (4,7.86781e-06) +% % (8,1.00136e-05) +% % (16,5.4121e-05 ) +% (32,4.26769e-05) +% (64,0.000118494) +% (128,0.000244141 ) +% (256,0.000695705 ) +% (512,0.00221705 ) +% (1024,0.0188088 ) +% (2046,0.215739) +% (4096,1.49159) +% }; + +\end{axis} +\end{tikzpicture} + +\end{document} diff --git a/buch/papers/multiplikation/images/mm_visualisation.pdf b/buch/papers/multiplikation/images/mm_visualisation.pdf Binary files differnew file mode 100644 index 0000000..9309df1 --- /dev/null +++ b/buch/papers/multiplikation/images/mm_visualisation.pdf diff --git a/buch/papers/multiplikation/images/mm_visualisation.tex b/buch/papers/multiplikation/images/mm_visualisation.tex new file mode 100644 index 0000000..6e8f789 --- /dev/null +++ b/buch/papers/multiplikation/images/mm_visualisation.tex @@ -0,0 +1,45 @@ + + \begin{tikzpicture}[ampersand replacement=\&] + + \matrix (A)[matrix of math nodes, label skeleton, left delimiter=[,right delimiter={]}] at (0,0) + { + A_{1,1} \& \cdots \& A_{1,k} \& \cdots \& A_{1,n} \\ + \vdots \& \& \vdots \& \& \vdots \\ + A_{i,1} \& \cdots \& A_{i,k} \& \cdots \& A_{i,n} \\ + \vdots \& \& \vdots \& \& \vdots \\ + A_{m,1} \& \cdots \& A_{m,k} \& \cdots \& A_{m,n} \\ + }; + + \node [right=0.1 of A] (mul) {$\cdot$}; + + + \matrix (B)[right=0.1 of mul, matrix of math nodes, label skeleton, left delimiter=[,right delimiter={]}] + { + B_{1,1} \& \cdots \& B_{1,j} \& \cdots \& B_{1,p} \\ + \vdots \& \& \vdots \& \& \vdots \\ + B_{k,1} \& \cdots \& B_{k,j} \& \cdots \& B_{k,p} \\ + \vdots \& \& \vdots \& \& \vdots \\ + B_{n,1} \& \cdots \& B_{n,j} \& \cdots \& B_{n,p} \\ + }; + + \node [right=0.1 of B] (eq) {$=$}; + + \matrix (C)[right=0.1 of eq, matrix of math nodes, label skeleton, left delimiter=[,right delimiter={]}] + { + C_{1,1} \& \cdots \& C_{1,j} \& \cdots \& C_{1,p} \\ + \vdots \& \& \vdots \& \& \vdots \\ + C_{i,1} \& \cdots \& C_{i,j} \& \cdots \& C_{i,p} \\ + \vdots \& \& \vdots \& \& \vdots \\ + C_{m,1} \& \cdots \& C_{m,j} \& \cdots \& C_{m,p} \\ + }; + + + \node[opacity=0.5, rounded corners=2pt, inner sep=-1pt, fill=green, fit=(A-3-1)(A-3-5)] {}; + \node[opacity=0.5, rounded corners=2pt, inner sep=-1pt, fill=blue, fit=(B-1-3)(B-5-3)] {}; + \node[opacity=0.5, rounded corners=2pt, inner sep=-1pt, fill=red, fit=(C-3-3)] {}; + + + \end{tikzpicture} + +\end{document} + diff --git a/buch/papers/multiplikation/images/strassen.pdf b/buch/papers/multiplikation/images/strassen.pdf Binary files differnew file mode 100644 index 0000000..d150125 --- /dev/null +++ b/buch/papers/multiplikation/images/strassen.pdf diff --git a/buch/papers/multiplikation/images/strassen.tex b/buch/papers/multiplikation/images/strassen.tex new file mode 100644 index 0000000..b51a9d5 --- /dev/null +++ b/buch/papers/multiplikation/images/strassen.tex @@ -0,0 +1,231 @@ +\documentclass[border=10pt]{standalone} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{pgfplots} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usetikzlibrary{automata,positioning} +\usetikzlibrary{decorations.text} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + +\begin{tikzpicture}[ampersand replacement=\&] + +\foreach \i in {1,...,4} +{ + \small{ + \matrix (X\i)[matrix of math nodes,nodes in empty cells, + nodes = {draw, minimum size=10mm, + anchor=center, + inner sep=0pt, outer sep=0pt}, + column sep=-\pgflinewidth, + row sep=-\pgflinewidth, + ] at (0,-\i*5) + { + A_{11}B_{11} \& A_{12}B_{11} \& A_{21}B_{11} \& A_{22}B_{11} \\ + A_{11}B_{21} \& A_{12}B_{21} \& A_{21}B_{21} \& A_{22}B_{21} \\ + A_{11}B_{11} \& A_{12}B_{12} \& A_{21}B_{12} \& A_{22}B_{12} \\ + A_{11}B_{22} \& A_{12}B_{22} \& A_{21}B_{22} \& A_{22}B_{22} \\ + };} + + \foreach \j in {1,...,7} + { + \matrix(M\i\j)[matrix of math nodes,nodes in empty cells, + nodes = {draw, minimum size=10mm, + anchor=center, + inner sep=0pt, outer sep=0pt}, + column sep=-\pgflinewidth, + row sep=-\pgflinewidth, + ] at (\j*5,-\i*5) + { + \& \& \& \\ + \& \& \& \\ + \& \& \& \\ + \& \& \& \\ + }; + } +} + +\huge{ + \node at (-3,-20) {$\mathbf{C}_{22}=$}; + \node at (-3,-15) {$\mathbf{C}_{21}=$} ; + \node at (-3,-10) {$\mathbf{C}_{12}=$} ; + \node at (-3,-5) {$\mathbf{C}_{11}=$} ; + + \node at (5,-2) {$\mathbf{P}$}; + \node at (10,-2) {$\mathbf{Q}$}; + \node at (15,-2) {$\mathbf{R}$}; + \node at (20,-2) {$\mathbf{S}$}; + \node at (25,-2) {$\mathbf{T}$}; + \node at (30,-2) {$\mathbf{U}$}; + \node at (35,-2) {$\mathbf{V}$}; +} + + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X1-1-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X1-2-2)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X2-3-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X2-4-2)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X3-1-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X3-2-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X4-3-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X4-4-4)] {}; + +% P +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-4-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-1-1)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M21-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M21-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M21-4-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M21-1-1)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M31-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M31-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M31-4-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M31-1-1)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-4-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-1-1)] {}; + +% Q +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M12-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M12-1-3)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M22-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M22-1-3)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M32-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M32-1-3)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M42-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M42-1-3)] {}; + +% R + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M13-3-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M13-4-1)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M23-3-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M23-4-1)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M33-3-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M33-4-1)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M43-3-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M43-4-1)] {}; + +% S + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M14-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M14-2-4)] {}; + + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M24-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M24-2-4)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M34-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M34-2-4)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M44-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M44-2-4)] {}; + +%T + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M15-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M15-4-2)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M25-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M25-4-2)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M35-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M35-4-2)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M45-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M45-4-2)] {}; + +% U + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M16-1-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M16-1-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M16-3-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M16-3-1)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M26-1-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M26-1-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M26-3-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M26-3-1)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M36-1-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M36-1-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M36-3-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M36-3-1)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M46-1-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M46-1-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M46-3-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M46-3-1)] {}; + +%V + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M17-2-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M17-4-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M17-2-2)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M17-4-2)] {}; + + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M27-2-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M27-4-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M27-2-2)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M27-4-2)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M37-2-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M37-4-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M37-2-2)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M37-4-2)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M47-2-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M47-4-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M47-2-2)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=gray, fit=(M47-4-2)] {}; + + + + + +\end{tikzpicture} + +\end{document} diff --git a/buch/papers/multiplikation/loesungsmethoden.tex b/buch/papers/multiplikation/loesungsmethoden.tex new file mode 100755 index 0000000..8d0c0a8 --- /dev/null +++ b/buch/papers/multiplikation/loesungsmethoden.tex @@ -0,0 +1,506 @@ +% +% teil2.tex -- Beispiel-File für teil2 +% +% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil +% + +\section{Algorithmen} +\rhead{Algorithmen} + +In diesem Abschnitt werden mehrere Algorithmen zur Berechnung der Matrizenmultiplikation vorgestellt, auch werden Bibliotheken zur unkomplizierten Verwendung von vordefinierten Algorithmen gezeigt. + +\subsection{Standardalgorithmus} + +Die Standardmethode ist im Algorithmus \ref{multiplikation:alg:smm} implementiert. +Hierf\"ur wurde die Gleichung \eqref{multiplikation:eq:MM} direkt umgesetzt. +Die \texttt{for i} Schleife iteriert \"uber alle Zeilen der $\mathbf{A}$ Matrix, die \texttt{for j} Schleife iteriert \"uber alle Spalten der $\mathbf{B}$ Matrix und die \texttt{for k} Schleife iteriert \"uber alle Eintr\"age dieser Zeilen bzw. Spalten. +\begin{algorithm}\footnotesize\caption{Matrizenmultiplikation} + \label{multiplikation:alg:smm} + \setlength{\lineskip}{7pt} + \begin{algorithmic}[1] + \Function{MM}{$\textbf{A}, \textbf{B}$} + \State $sum \gets 0$ + \State $n \gets columns(\textbf{A}) == rows(\textbf{B})$ + \State $m \gets rows(\textbf{A})$ + \State $p \gets columns(\textbf{B})$ + \State $\textbf{C} \gets zeros(m,p)$ + \For{$i = 0,1,2 \dots,m-1$} + \For{$j = 0,1,2 \dots,p-1$} + \State $sum \gets 0$ + \For{$k = 0,1,2 \dots,n-1$} + \State $sum \gets sum + \textbf{A}[i][k] \cdot \textbf{B}[k][j]$ + \EndFor + \State $\textbf{C}[i][j] \gets sum $ + \EndFor + \EndFor + \State \textbf{return} $\textbf{C}$ + \EndFunction + \end{algorithmic} +\end{algorithm} +Die Laufzeit dieser Struktur mit drei \texttt{for} Schleifen ist $\mathcal{O} (n^3)$. + +\subsubsection{Divide and Conquer Methode} + +F\"ur gewisse Algorithmen f\"uhren \textit{Divide and Conquer} Ans\"atze \cite{multiplikation:DAC} zu markant besseren Laufzeiten. +Die Grundidee ist, dass ein Problem in mehrere, meist simplere und kleinere Teilprobleme aufgeteilt wird. +Das bekannteste Beispiel ist wohl die \textit{Fast Fourier Transform} wobei die Laufzeit von $\mathcal{O} (n^2)$ zu $\mathcal{O}(n \log n)$ verbessert werden kann. + +Die Matrizenmultiplikation kann ebenfalls mit solch einem Ansatz berechnet werden. +Zur vereinfachten Veranschaulichung kann die Situation mit $\mathbf{A}$ und $\mathbf{B}$ der Gr\"osse $2^n \times 2^n$ verwendet werden. +Die Matrizen $\mathbf{A}$ und $\mathbf{B}$ werden in jeweils vier Blockmatrizen der Gr\"osse $2^{n-1} \times 2^{n-1}$ aufgeteilt. +Das Matrizenprodukt +\begin{equation} +\mathbf{A}\mathbf{B}= +\begin{bmatrix} +\mathbf{A}_{11} & \mathbf{A}_{12}\\ +\mathbf{A}_{21} & \mathbf{A}_{22} +\end{bmatrix} +\begin{bmatrix} +\mathbf{B}_{11} & \mathbf{B}_{12}\\ +\mathbf{B}_{21} & \mathbf{B}_{22} +\end{bmatrix} += +\begin{bmatrix} +\mathbf{C}_{11} & \mathbf{C}_{12}\\ +\mathbf{C}_{21} & \mathbf{C}_{22} +\end{bmatrix} +\end{equation} +mit \begin{equation} +\mathbf{C}_{ij} = \sum_{k=1}^{2n} \mathbf{A}_{ik} \mathbf{B}_{kj}, +\label{multiplikation:eq:MM_block} +\end{equation} +ist identisch zu der Gleichung \eqref{multiplikation:eq:MM}, f\"ur die Multiplikation der Untermatrizen $\mathbf{A}_{ik}$ und $\mathbf{B}_{kj}$ wird die Matrizenmultiplikation verwendet. + +Der Algorithmus \ref{multiplikation:alg:devide_mm} zeigt den \textit{Divide and Conquer} Ansatz, +Die Grundstruktur dieser Methode besteht aus dem rekursiven Aufruf der Funktion mit den erzeugten Blockmatrizen. +Der rekursive Aufruf wird bis zu der Gr\"osse der Matrizen von $N = 2 \times 2$ durchgef\"uhrt. +\begin{algorithm}\footnotesize\caption{Divide and Conquer Matrizenmultiplikation} + \setlength{\lineskip}{7pt} + \label{multiplikation:alg:devide_mm} + \begin{algorithmic} + \Function{MM}{$\textbf{A}, \textbf{B}, n$} + \If{$n = 2$} + \State $ \mathbf{C} \gets zeros(n, n)$ + \State $C[0, 0] \gets A[0][0]\cdot B[0][0]+A[0][1]\cdot B[1][0]$ + \State $C[0, 1] \gets A[0][0]\cdot B[0][1]+A[0][1]\cdot B[1][1]$ + \State $C[1, 0] \gets A[1][0]\cdot B[0][0]+A[1][1]\cdot B[1][0]$ + \State $C[1, 1] \gets A[1][0]\cdot B[0][1]+A[1][1]\cdot B[1][1]$ + \Else + \State $ m \gets n/2$ + \State $\mathbf{A11}, \mathbf{A12}, \mathbf{A21}, \mathbf{A22} \gets \mathbf{A}[:m][:m], \mathbf{A}[:m][m:], \mathbf{A}[m:][:m], \mathbf{A}[m:][m:]$ + \State $\mathbf{B11}, \mathbf{B12}, \mathbf{B21}, \mathbf{B22} \gets \mathbf{B}[:m][:m], \mathbf{B}[:m][m:], \mathbf{B}[m:][:m], \mathbf{B}[m:][m:]$ + + \State $\mathbf{C11} \gets \text{MM}(\mathbf{A11}, \mathbf{B11},n) + \text{MM}(\mathbf{A12}, \mathbf{B21},n)$ + \State $\mathbf{C12} \gets \text{MM}(\mathbf{A11},\mathbf{B12},n) + \text{MM}(\mathbf{A12}, \mathbf{B22},n)$ + \State $\mathbf{C21} \gets \text{MM}(\mathbf{A21}, \mathbf{B11},n) + \text{MM}(\mathbf{A22}, \mathbf{B21},n)$ + \State $\mathbf{C22} \gets \text{MM}(\mathbf{A21}, \mathbf{B12},n) + \text{MM}(\mathbf{A22}, \mathbf{B22},n)$ + \State $ C \gets vstack(hstack(C11, C12), hstack(C21, C22))$ + + \EndIf + \State \textbf{return} $\textbf{C}$ + + \EndFunction + \end{algorithmic} +\end{algorithm} + +Die Laufzeit dieser rekursiven Funktion kann mit dem \textit{Master Theorem} \cite{multiplikation:master_theorem} berechnet werden. Das \textit{Master Theorem} bestimmt die Zeitkomplexit\"at von rekursiven Algorithmen. +Ohne auf dieses vertieft einzugehen, bestimmt die Anzahl rekursiver Aufrufe $\mathcal{T} $ der Funktion die Laufzeit. +In diesem Fall wird die Funktion pro Durchlauf acht mal rekursiv aufgerufen, dies f\"uhrt zu +\begin{equation} \label{multiplikation:eq:laufzeitdac} + \mathcal{T}(n) = 8 \cdot \mathcal{T} \left(\frac{n}{2}\right ) + n^2 = \mathcal{O}(n^{\log_2 8}) = \mathcal{O} (n^{3} ), +\end{equation} +also einer kubischen Laufzeit. +Die Addition zweier Matrizen $\mathbf{A} + \mathbf{B} = \mathbf{C}$ hat eine Laufzeit von $\mathcal{O}(n^{2})$ und kann neben dem dominierendem Anteil von $\mathcal{O}(n^{3})$ ignoriert werden. +In diesem Fall hat der \textit{Divide and Conquer} Ansatz zu keiner Verbesserung gef\"uhrt. + + +\subsection{Strassens Algorithmus} + +Strassens Algorithmus \cite{multiplikation:strassen_1969} beschreibt die Matrizenmultiplikation mit einer Vielzahl von Additionen, Subtraktionen und Multiplikationen von Blockmatrizen. +Die sieben grundlegenden Terme +\begin{equation} \label{multiplikation:eq:strassen} +\begin{split} +\text{\textbf{P}} &= \left(\mathbf{A}_{11} + \mathbf{A}_{22}\right ) \cdot \left(\mathbf{B}_{11} + \mathbf{B}_{22}\right ) \\ +\text{\textbf{Q}} &= \left(\mathbf{A}_{21} + \mathbf{A}_{22}\right ) \cdot \mathbf{B}_{11} \\ +\text{\textbf{R}} &= \mathbf{A}_{11} \cdot \left(\mathbf{B}_{12}-\mathbf{B}_{22}\right ) \\ +\text{\textbf{S}} &= \mathbf{A}_{22} \cdot \left(-\mathbf{B}_{11}+\mathbf{B}_{21}\right ) \\ +\text{\textbf{T}} &= \left(\mathbf{A}_{11} + \mathbf{A}_{12}\right ) \cdot \mathbf{B}_{22} \\ +\text{\textbf{U}} &= \left(-\mathbf{A}_{11} + \mathbf{A}_{21}\right ) \cdot \left(\mathbf{B}_{11} + \mathbf{B}_{12}\right ) \\ +\text{\textbf{V}} &= \left(\mathbf{A}_{12} - \mathbf{A}_{22}\right ) \cdot \left(\mathbf{B}_{21} + \mathbf{B}_{22}\right ) +\end{split} +\end{equation} +aus $\mathbf{A}$ und $\mathbf{B}$ werden f\"ur die Berechnung der Bl\"ocke +\begin{equation} \label{multiplikation:eq:strassen2} +\begin{split} +\mathbf{C}_{11} &= \text{\textbf{P}} + \text{\textbf{S}} - \text{\textbf{T}} + \text{\textbf{V}} \\ +\mathbf{C}_{21} &= \text{\textbf{R}} + \text{\textbf{T}} \\ +\mathbf{C}_{12} &= \text{\textbf{Q}} + \text{\textbf{S}}\\ +\mathbf{C}_{22} &= \text{\textbf{P}} + \text{\textbf{R}} - \text{\textbf{Q}} + \text{\textbf{U}} +\end{split} +\end{equation} +der Matrix $\mathbf{C}$ gebraucht. +\begin{algorithm}\footnotesize\caption{Strassen Matrizenmultiplikation} + \label{multiplikation:alg:strassen} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \Function{strassen}{$\textbf{A}, \textbf{B}, n$} + \If{$n = 2$} + \State $ \mathbf{C} \gets zeros((n, n))$ + \State $P \gets (A[0][0]+A[1][1])\cdot( B[0][0]+B[1][1])$ + \State $Q \gets (A[1][0]+A[1][1])\cdot B[0][0]$ + \State $R \gets A[0][0]\cdot (B[0][1]-B[1][1])$ + \State $S \gets A[1][1]\cdot (B[1][0]-B[0][0])$ + \State $T \gets (A[0][0]+A[0][1])\cdot B[1][1]$ + \State $U \gets (A[1][0]-A[0][0])\cdot (B[0][0]+B[0][1])$ + \State $V \gets (A[0][1]-A[1][1])\cdot (B[1][0]+B[1][1])$ + \State $C[0][0] \gets P+S-T+V$ + \State $C[0][1] \gets R+T$ + \State $C[1][0] \gets Q+S$ + \State $C[1][1] \gets P+R-Q+U$ + \Else + \State $ m \gets n/2$ + \State $\mathbf{A11}, \mathbf{A12}, \mathbf{A21}, \mathbf{A22} \gets \mathbf{A}[:m][:m], \mathbf{A}[:m][m:], \mathbf{A}[m:][:m], \mathbf{A}[m:][m:]$ + \State $\mathbf{B11}, \mathbf{B12}, \mathbf{B21}, \mathbf{B22} \gets \mathbf{B}[:m][:m], \mathbf{B}[:m][m:], \mathbf{B}[m:][:m], \mathbf{B}[m:][m:]$ + + \State $ \mathbf{P} \gets \text{strassen}((\mathbf{A11}+ \mathbf{A22}),(\mathbf{B11}+\mathbf{B22}), m)$ + \State $ \mathbf{Q} \gets \text{strassen}((\mathbf{A21}+ \mathbf{A22}), \mathbf{B11},m)$ + \State $ \mathbf{R} \gets \text{strassen}( \mathbf{A11},(\mathbf{B12}- \mathbf{B22}),m)$ + \State $ \mathbf{S} \gets \text{strassen}( \mathbf{A22},(\mathbf{B21}- \mathbf{B11}),m)$ + \State $ \mathbf{T} \gets \text{strassen}((\mathbf{A11}+ \mathbf{A12}), \mathbf{B22},m)$ + \State $ \mathbf{U} \gets \text{strassen}((\mathbf{A21}- \mathbf{A11}),(\mathbf{B11}+\mathbf{B12}),m)$ + \State $ \mathbf{V} \gets \text{strassen}((\mathbf{A12}- \mathbf{A22}),(\mathbf{B21}+\mathbf{B22}),m)$ + + + + \State $\mathbf{C11} \gets \mathbf{P+S-T+V}$ + \State $\mathbf{C12} \gets \mathbf{R+T}$ + \State $\mathbf{C21} \gets \mathbf{Q+S}$ + \State $\mathbf{C22} \gets \mathbf{P+R-Q+U}$ + \State $ C \gets vstack(hstack(C11, C12), hstack(C21, C22))$ + + \EndIf + \State \textbf{return} $\textbf{C}$ + + \EndFunction + \end{algorithmic} +\end{algorithm} +Strassens Methode wird in der Abbildung \ref{multiplikation:fig:strassen} grafisch dargestellt. +Jedes Feld steht f\"ur eine Multiplikation zweier Matrizenelementen von $\mathbf{A}$ oder $\mathbf{B}$ . +Die gr\"unen Felder auf der linken Seite, zeigen die Addition, welche f\"ur den dazugeh\"origen Term ben\"otigt wird. +Die sieben Spalten beschreiben die Matrizen $\mathbf{P,Q,R, \ldots, V}$. +Rote Felder stehen f\"ur eine Subtraktion und die gr\"unen f\"ur eine Addition. +Graue Felder bedeuten, dass die dazugehörige Spalte nicht für die Berechnung benötigt wird. +\begin{figure} + \center + \includegraphics[width=\linewidth]{papers/multiplikation/images/strassen.pdf} + \caption{Der Algorithmus von Strassen verwendet Multiplikationen zur Berechnung der sieben Blockmatrizen $\mathbf{P}$ bis $\mathbf{V}$ aus $\mathbf{A}$ und $\mathbf{B}$, aus denen sich die Blöcke es Produktes $\mathbf{C}=\mathbf{AB}$ ausschliesslich durch Addition und Subtraktion bilden lassen. Die einzelnen Felder in den Quadraten stellen alle möglichen Produkte von Matrizen $\mathbf{A}_{ik}$ und $\mathbf{B}_{jl}$ dar. In den grossen Quadraten am linken Rand sind diejenigen Produkte grün markiert, welche zusammen die entsprechenden Blöcke $\mathbf{C}_{il}$ von $\mathbf{C}$ ergeben. In den Spalten $\mathbf{P}$ bis $\mathbf{V}$ sind die Produkte farblich hervorgehoben, die in der Definition der entsprechenden Matrix vorkommen. Grün und rot symbolisieren die Vorzeichen, mit denen die Produkte kombiniert werden müssen. Graue Felder werden für die Berechnung von $\mathbf{C}_{il}$ nicht benötigt.} + \label{multiplikation:fig:strassen} +\end{figure} + +Die Funktion wird sieben mal rekursiv aufgerufen. +Dies f\"uhrt nach dem \textit{Master Theorem} zu einer Laufzeit von +\begin{equation} \label{multiplikation:eq:laufzeitstrassen} +\mathcal{T}(n) = +7 \cdot \mathcal{T}\left(\frac{n}{2}\right) + n^2 = \mathcal{O}(n^{\log_2 7} ) = \mathcal{O}(n^{2.8074} ) +\end{equation} +und ist somit schneller als die Standardmethode. +Man beachte, dass die Anzahl von Additionen und Subtraktionen gr\"osser und die Anzahl der Multiplikationen kleiner wurde. + +\subsection{Winograds Algorithmus} + +Einen weiteren Ansatz lieferte Shmuel Winograd im Jahre 1968 \cite{multiplikation:winograd_1968}. +Er beschrieb einen neuen Algorithmus f\"ur das Skalarprodukt +\begin{equation} \label{multiplikation:eq:skalar} + \langle x,y \rangle = \sum_{i=1}^{n}x_i y_i. +\end{equation} +F\"ur jeden Vektor berechne +\begin{equation} + \xi = \sum_{j=1}^{ \lfloor n/2 \rfloor} x_{2j-1} \cdot x_{2j} +\end{equation} +und +\begin{equation} + \eta = \sum_{j=1}^{ \lfloor n/2 \rfloor} y_{2j-1} \cdot y_{2j}, +\end{equation} +die jeweils nur von $x$ und $y$ abhängen. +Dazu werden $2 \cdot \lfloor n/2 \rfloor \leq n$ Multiplikationen benötigt. +Das Skalarprodukt ist nun geben mit +\begin{equation} + \langle x,y \rangle = + \begin{cases} + \displaystyle \quad \sum_{j=1}^{ \lfloor n/2 \rfloor} (x_{2j-1} + y_{2j})(x_{2j}+y_{2j-1})-\xi - \eta & \text{wenn $n$ gerade}\\ + \displaystyle \quad \sum_{j=1}^{ \lfloor n/2 \rfloor} (x_{2j-1} + y_{2j})(x_{2j}+y_{2j-1})-\xi - \eta + x_n y_n & \text{wenn $n$ ungerade}. + \end{cases} +\end{equation} +Das Skalarprodukt kann also mit $ \lfloor \frac{n+1}{2} \rfloor$ weiteren Multiplikationen berechnet werden. +Angenommen man hat $N$ Vektoren, mit welchen man $T$ Skalarprodukte berechnen m\"ochte. +Daf\"ur werden $N\lfloor n/2 \rfloor + T\lfloor (n+1)/2 \rfloor $ Multiplikationen ben\"otigt. +Die Summen f\"ur $\xi$ und $\eta$ m\"ussen nur einmal berechnet werden. +Für die ursprüngliche Gleichung \eqref{multiplikation:eq:skalar} für das Skalarprodukt benötigt man $Tn$ Multiplikationen. +Damit können wir die Laufzeit der Methode von Winograd mit der Laufzeit der Standardmethode vergleichen. Sie ist kleiner als die Laufzeit für die Standardmethode, wenn gilt +\begin{equation}\label{multiplikation:eq:eff} +\begin{array}{crcl} + & N\lfloor n/2\rfloor + T\lfloor(n+1)/2\rfloor \approx Nn/2 + Tn/2 & \le & Tn \\ +\Leftrightarrow & Nn/2 & \le & Tn/2 \\ +\Leftrightarrow & N & \le & T. +\end{array} +\end{equation} +Eine Matrizenmultiplikation mit $\mathbf{A}$ einer $m \times n$ und $\mathbf{B}$ einer $n \times p$ Matrix, entspricht $N=m+p$ Vektoren mit welchen man $T=mp$ Skalarprodukte berechnet. +Dies f\"uhrt zu +\begin{equation} + (m+p) \left \lfloor \frac{n}{2} \right \rfloor + mp \left \lfloor \frac{n+1}{2} \right \rfloor = \frac{mn}{2} + \frac{pn}{2} + \frac{mpn}{2} + \frac{mp}{2} +\end{equation} +Multiplikationen. +Wenn $m,p,n$ gross werden, dominiert der Term $\frac{mpn}{2}$ und es werden $\frac{mpn}{2}$ Multiplikationen ben\"otigt, was im Vergleich zu den $mpn$ Multiplikation der Standardmethode nur die H\"alfte ist. +Mit dem gleichen Ansatz wie in der Gleichung \eqref{multiplikation:eq:eff} aber mit quadratischen Matrizen, muss +\begin{align} + \begin{split} +N=2n, &\quad T = n^2 \\ + 2n &\leq n^2 \\ + 2 &\leq n +\end{split} +\end{align} +sein, damit man etwas einspart. +Die Implementation kann Algorithmus \ref{multiplikation:alg:winograd} entnommen werden. +Falls $m=n=p$, werden $\frac{n^3}{2}$ Multiplikationen benötigt. +Im Abschnitt \ref{muliplikation:sec:bigo} wurde bereits erläutert: falls $n \rightarrow \infty$ können Konstanten vernachlässigt werden und + somit entsteht für diesen Algorithmus wieder die ursprüngliche Laufzeit von $\mathcal{O}(n^3 )$. +\begin{algorithm}\footnotesize\caption{Winograds Matrizenmultiplikation} + \setlength{\lineskip}{7pt} + \label{multiplikation:alg:winograd} + \begin{algorithmic} + \Function{Winograd}{$\textbf{A}, \textbf{B}, n$} + \State $ m \gets rows(\mathbf{A})$ + \State $ n \gets columns(\mathbf{A}) == rows(\mathbf{B})$ + \State $ p \gets columns(\mathbf{B})$ + \State $ \mathbf{\xi} \gets zeros(m)$ + \State $ \mathbf{\eta} \gets zeros(p)$ + + + \For{$i = 0,1,2 \dots,m-1$} + \For{$j = 0,1,2 \dots,\lfloor n/2 \rfloor-1$} + \State $\xi[i] \gets \xi[i]+A[i,2 j]A[i,2 j+1]$ + \EndFor + \EndFor + + \For{$i = 0,1,2 \dots,p-1$} + \For{$j = 0,1,2 \dots,\lfloor n/2 \rfloor-1$} + \State $\eta[i] \gets \eta[i]+B[2 j,i]B[2 j+1,i]$ + \EndFor + \EndFor + + \If{$n \% 2 == 0$} + \For{$i = 0,1,2 \dots,m-1$} + \For{$j = 0,1,2 \dots,p-1$} + \State $ab \gets 0$ + \For{$k = 0,1,2 \dots,\lfloor n/2 \rfloor-1$} + \State $ab \gets ab + (A[i,2k]+B[2k+1,j])(A[i,2k+1]+B[2k,j])$ + \EndFor + \State $C[i,j] \gets ab-\eta[j]-\xi[i]$ + \EndFor + \EndFor + \Else + \For{$i = 0,1,2 \dots,n-1$} + \For{$j = 0,1,2 \dots,n-1$} + \State $ab \gets 0$ + \For{$k = 0,1,2 \dots,\lfloor n/2 \rfloor-1$} + \State $ab \gets ab + (A[i,2k]+B[2k+1,j])(A[i,2k+1]+B[2k,j])$ + \EndFor + \State $C[i,j] \gets ab-\eta[j]-\xi[i]+A[i,-1]B[-1,j]$ + \EndFor + \EndFor + \EndIf + \State \textbf{return} $\textbf{C}$ + + \EndFunction + \end{algorithmic} +\end{algorithm} + + +\subsection{Basic Linear Algebra Subprograms (BLAS)} + +Die gebräuchliche Methode f\"ur die Anwendung einer optimierten Matrizenmultiplikation ist die Verwendung einer Subroutine aus den \textit{Basic Linear Algebra Subprograms (BLAS)} \cite{multiplikation:BLAS}. +Die meisten numerischen Bibliotheken von high-level Skriptsprachen wie \texttt{Matlab}, \texttt{NumPy (Python)}, \texttt{GNU Octave} oder \texttt{Mathematica} ben\"utzen eine Form von \textit{BLAS}. + +\textit{BLAS} sind dabei in drei unterschiedliche Levels aufgeteilt. + +\begin{itemize} + \item Level 1 + \begin{itemize} + \item Operationen der Art: $\mathbf{y} \leftarrow \alpha \mathbf{x}+\mathbf{y}$ + \item Dieses Level hat $\mathcal{O}(n)$ Charakteristik + \end{itemize} + \item Level 2 + \begin{itemize} + \item Operationen der Art: $\mathbf{y} \leftarrow \alpha \mathbf{A}\mathbf{x}+\beta \mathbf{y}$ + \item Dieses Level hat $\mathcal{O}(n^2)$ Charakteristik + \end{itemize} + \item Level 3 + \begin{itemize} + \item Operationen der Art: $\mathbf{C} \leftarrow \alpha \mathbf{A}\mathbf{B}+\beta\mathbf{C}$ + \item Dieses Level hat $\mathcal{O}(n^3)$ Charakteristik + \end{itemize} +\end{itemize} + +Die \textit{BLAS} sind auf die modernen Computerprozessoren optimiert und k\"onnen dank einer ausgeklügelter Verwendung der Speicherarchitektur zu erheblichen Leistungsoptimierungen f\"uhren. + + +%\subsubsection{General Matrix Multiplication (GEMM)} +% +%Die \textit{Double-GEMM} \cite{multiplikation:DGEMM} ist definiert als: +% +%\textit{DGEMM performs one of the matrix-matrix operations} +%$$ +% C := \alpha \cdot op( A )\cdot op( B ) + \beta \cdot C, +% $$ +% \textit{where op( X ) is one of} +%$$ +%op( X ) = X \quad \text{ or } \quad op( X ) = X^T, +%$$ +% \textit{alpha and beta are scalars, and A, B and C are matrices, with op( A ) +% an m by k matrix, op( B ) a k by n matrix and C an m by n matrix. +% } + +%Die Implementation von $\alpha\mathbf{A}\mathbf{B} + \beta \mathbf{C} = \mathbf{C}$, wobei $\alpha = 1.0$ und $\beta = 0.0$ in der \texttt{C}-Version von \textit{BLAS}, ist als +%\begin{lstlisting}[style=multiplikationC] +%cblas_dgemm(CblasRowMajor, CblasNoTrans, CblasNoTrans, +% m, n, k, 1, A, m , B, k, 0, C, m); +%\end{lstlisting} +%definiert. + + + +\section{Implementation}\label{multiplikation:section:Implementation} +\rhead{Implementation} + +Folgende Algorithmen wurden jeweils in \texttt{C} und \texttt{Python} implementiert. +\begin{itemize} + \item Standard Matrizenmultiplikation + \item \textit{Divide and Conquer} Matrizenmultiplikation + \item Strassens Matrizenmultiplikation + \item Winograds Matrizenmultiplikation + \item \texttt{BLAS} Matrizenmultiplikation in \texttt{C} + \item \texttt{Numpy} Matrizenmultiplikation in \texttt{Python} +\end{itemize} + +Der Code kann im zum Buch gehörigem \textit{GitHub} \footnote{\url{https://github.com/AndreasFMueller/SeminarMatrizen.git}} Repository gefunden werden. +Anzumerken ist, dass die Matrizenmultiplikation von \texttt{NumPy} als einzige Implementation Multiprocessing und Multithreading verwendet, dies f\"uhrt zu den tiefen Messzeiten. +In Abbildung \ref{multiplikation:fig:python} und Abbildung \ref{multiplikation:fig:c_meas_4096} sind de Messresultate grafisch dargestellt. Die selben Messresultate sind tabellarisch in Tabelle \ref{multiplikation:tab:messung_Python} und Tabelle \ref{multiplikation:tab:messung_C} ersichtlich. + +Die gezeigten Algorithmen haben alle eine Laufzeit der Form $\mathcal{O}(n^k) $. +Bei einer doppelt logarithmischen Darstellung unterscheiden sich diese in Geraden mit unterschiedlichen Steigungen. +Bei den grafisch gezeigten Messresultate, können diese Steigungen gut erkannt werden, wobei die tiefere Laufzeit des Strassen Algorithmus eindrücklich zu sehen ist. +Der benötigte Overhead der Algorithmen zeigt sich in unterschiedlichen $y$-Achsenschnittpunkte. + +In der Messung mit der Programmiersprache \texttt{C} kann ein typischer Cache-Effekt beobachtet wer- +den. +Bei den Algorithmen von Winograd und der Standardmethode hat bei einer Matrizengrösse von $n = 2048$ wohl eine Zeile der Matrix nicht an einer Cache Speicherstelle Platz. +Diese beiden Algorithmen sind die Einzigen, welche \texttt{for}-Schleifen über die ganze Breite der Matrizen verwenden. +Dies führt dazu, dass ganze Zeilen zwischengespeichert werden müssen. +Bei den anderen Algorithmen ist dies nicht der Fall. + +Die Hardwareinformationen des verwendeten Computers sind in der Tabelle \ref{multiplikation:tab:pc_config} aufgelistet. + + +\begin{table} + \begin{center} + \begin{tabular}{r l l l l l} + \hline + \hline + \textbf{n} & \textbf{MM (\textit{s})} & \textbf{MM DC (\textit{s})} & \textbf{Strassen (\textit{s})} & \textbf{Winograd (\textit{s})} & \textbf{BLAS (\textit{s})} \\ + \hline + \multicolumn{6}{c}{} \\ + \textbf{32} & \phantom{000}0.000089 & \phantom{000}0.000594 & \phantom{000}0.0005 & \phantom{0000}0.00008 & \phantom{00}0.000021 \\ + \textbf{64} & \phantom{000}0.00069 & \phantom{000}0.0044 & \phantom{000}0.0036 & \phantom{0000}0.00064 & \phantom{00}0.00018 \\ + \textbf{128} & \phantom{000}0.0057 & \phantom{000}0.035 & \phantom{000}0.025 & \phantom{0000}0.0052 & \phantom{00}0.0012 \\ + \textbf{256} & \phantom{000}0.052 & \phantom{000}0.29 & \phantom{000}0.178 & \phantom{0000}0.053 & \phantom{00}0.0096 \\ + \textbf{512} & \phantom{000}0.51 & \phantom{000}2.22 & \phantom{000}1.25 & \phantom{0000}0.55 & \phantom{00}0.077 \\ + \textbf{1024} & \phantom{000}4.50 & \phantom{00}17.65 & \phantom{000}8.83 & \phantom{0000}4.67 & \phantom{00}0.764 \\ + \textbf{2048} & \phantom{0}129.28 & \phantom{0}141.61 & \phantom{00}61.901 & \phantom{00}136.67 & \phantom{00}7.63 \\ + \textbf{4096} & 1111.31 & 1147.10 & \phantom{0}414.64 & \phantom{0}1179.26 & \phantom{0}55.84 \\ + \textbf{8192} & 9376.17 & 9606.40 & 3014.23 & 10071.51 & 478.42 \\ + \multicolumn{6}{c}{} \\ + \hline + \hline + \end{tabular} + \end{center} + \caption{Laufzeiten der verschieden Algorithmen in der Programmiersprache \texttt{C}} + \label{multiplikation:tab:messung_C} + \end{table} + + + + \begin{table} + \begin{center} + \begin{tabular}{r l l l l l} + \hline + \hline + \textbf{n} & \textbf{MM (\textit{s})} & \textbf{MM DC (\textit{s})} & \textbf{Strassen (\textit{s})} & \textbf{Winograd (\textit{s})} & \textbf{NumPy(\textit{s})} \\ + \hline + \multicolumn{6}{c}{} \\ + \textbf{32} &\phantom{0000}0.0240 & \phantom{0000}0.0271& \phantom{0000}0.04852 & \phantom{0000}0.01871 & 0.0000426 \\ + \textbf{64} &\phantom{0000}0.186 & \phantom{0000}0.265 & \phantom{0000}0.2204 & \phantom{0000}0.1530& 0.000118 \\ + \textbf{128} &\phantom{0000}1.563 & \phantom{0000}1.777 & \phantom{0000}1.447 & \phantom{0000}1.1947 & 0.000244 \\ + \textbf{256} &\phantom{000}11.006 & \phantom{000}13.27 & \phantom{0000}9.938 & \phantom{0000}8.298& 0.000695 \\ + \textbf{512} &\phantom{000}85.476 & \phantom{00}105.397 & \phantom{000}63.961 & \phantom{000}68.360 & 0.00221\\ + \textbf{1024} &\phantom{00}750.757 & \phantom{00}847.321 & \phantom{00}461.494 & \phantom{00}537.374 & 0.0188 \\ + \textbf{2048} &\phantom{0}6154.18 & \phantom{0}7375.93 & \phantom{0}3860.57 & \phantom{0}4884.61 & 0.215 \\ + \textbf{4096} & 46813.30 & 58466.00 & 22904.30 & 43597.10 & 1.49 \\ + \multicolumn{6}{c}{} \\ + \hline + \hline + \end{tabular} + \end{center} + \caption{Laufzeiten der verschieden Algorithmen in der Skriptsprache \texttt{Python}} + \label{multiplikation:tab:messung_Python} + \end{table} + + \begin{table} + \begin{center} + \begin{tabular}{c c c c} + \hline + \hline + \textbf{CPU} & \textbf{OS} & \textbf{GPU } & \textbf{Memory } \\ + \hline + \multicolumn{4}{c}{} \\ + Intel® Core™ i7-4770K CPU & Ubuntu 20.04.2 LTS & Radeon RX 570 & 32 GB 1600 MHz \\ + @ 3.50GHz × 8 & 64-bit & & \\ + \multicolumn{4}{c}{} \\ + \hline + \hline + \end{tabular} + \end{center} + \caption{Messsystem} + \label{multiplikation:tab:pc_config} + \end{table} + +\begin{figure} + \center + \includegraphics[width=\linewidth]{papers/multiplikation/images/meas_c} + \caption{Doppelt logarithmisch dargestellte Laufzeiten, der verschieden Algorithmen, in der Programmiersprache \texttt{C}. + Die Steigung der Messreihe mit Strassens Algorithmus ist deutlich kleiner als deren der anderen Algorithmen. + Die Messung von Winograd ist beinahe gleich wie die Messung mit der Standardmethode, deshalb ist sie nicht gut sichtbar.} + \label{multiplikation:fig:c_meas_4096} +\end{figure} + + +\begin{figure} + \center + \includegraphics[width=\linewidth]{papers/multiplikation/images/meas_python} + \caption{Doppelt logarithmisch dargestellte Laufzeiten, der verschieden Algorithmen, in der Skriptsprache \texttt{Python}. + Die Steigung der Messreihe mit Strassens Algorithmus ist deutlich kleiner als deren der anderen Algorithmen. +} + \label{multiplikation:fig:python} +\end{figure} + +\section{Fazit} +\rhead{Fazit} + +Wie man im Abschnitt \ref{multiplikation:section:Implementation} sehen kann, sind die gezeigten Algorithmen trotz der theoretisch geringeren Zeitkomplexitäten den Implementationen der numerischen Bibliotheken klar unterlegen. +Ein optimierter Speicherzugriff hat einen weitaus grösseren Einfluss auf die Laufzeit als die Zeitkomplexität des Algorithmus. + +Doch haben Entdeckungen wie jene von Strassen und Winograd ihre Daseinsberechtigung. +Nicht auf jeden Computersystemen können die \textit{BLAS} angewandt werden. +Denke man an sehr kleine Mikrocontroller ohne Floatingpoint Recheneinheiten oder auch an \textit{Field Programmable Gate Arrays (FPGA's)}. +Der Overhead der gezeigten Algorithmen ist in allen Fällen grösser als bei der Standardmethode (z.B. sieben rekursive Aufrufe gegenüber drei \texttt{for}-Schleifen). +Um diesem entgegenzuwirken muss der Laufzeitunterschied zwischen Addition und Multiplikation gross genug sein. +Wenn dies gegeben ist und dazu noch grosse Matritzen multipliziert werden, kann die Verwendung der Algorithmen von Strassen oder Winograd zu einer Senkung der Laufzeit führen. diff --git a/buch/papers/multiplikation/main.tex b/buch/papers/multiplikation/main.tex index 42f2768..4a23109 100644..100755 --- a/buch/papers/multiplikation/main.tex +++ b/buch/papers/multiplikation/main.tex @@ -1,36 +1,40 @@ +% !TEX root = ../../buch.tex % % main.tex -- Paper zum Thema <multiplikation> % -% (c) 2020 Hochschule Rapperswil +% (c) 2021 Hochschule Rapperswil % -\chapter{Thema\label{chapter:multiplikation}} -\lhead{Thema} +\definecolor{mygreen}{RGB}{28,172,0} % color values Red, Green, Blue +\definecolor{mylilas}{RGB}{170,55,241} +\definecolor{backcolour}{rgb}{0.95,0.95,0.92} +\lstdefinestyle{multiplikationC}{ + numbers=left, + belowcaptionskip=1\baselineskip, + breaklines=true, + frame=l, + framerule=0pt, + framesep=-1pt, + xleftmargin=1em, + language=C, + showstringspaces=false, + basicstyle=\ttfamily, + keywordstyle=\bfseries\color{green!40!black}, + commentstyle=\itshape\color{purple!40!black}, + identifierstyle=\color{blue}, + stringstyle=\color{red}, + numberstyle=\ttfamily\tiny, + backgroundcolor=\color{backcolour} +} + +\chapter{Schnelle Matrizenmultiplikation\label{chapter:multiplikation}} +\lhead{Schnelle Matrizenmultiplikation} \begin{refsection} -\chapterauthor{Hans Muster} +\chapterauthor{Michael Schmid} -Ein paar Hinweise für die korrekte Formatierung des Textes -\begin{itemize} -\item -Absätze werden gebildet, indem man eine Leerzeile einfügt. -Die Verwendung von \verb+\\+ ist nur in Tabellen und Arrays gestattet. -\item -Die explizite Platzierung von Bildern ist nicht erlaubt, entsprechende -Optionen werden gelöscht. -Verwenden Sie Labels und Verweise, um auf Bilder hinzuweisen. -\item -Beginnen Sie jeden Satz auf einer neuen Zeile. -Damit ermöglichen Sie dem Versionsverwaltungssysteme, Änderungen -in verschiedenen Sätzen von verschiedenen Autoren ohne Konflikt -anzuwenden. -\item -Bilden Sie auch für Formeln kurze Zeilen, einerseits der besseren -Übersicht wegen, aber auch um GIT die Arbeit zu erleichtern. -\end{itemize} -\input{papers/multiplikation/teil0.tex} -\input{papers/multiplikation/teil1.tex} -\input{papers/multiplikation/teil2.tex} -\input{papers/multiplikation/teil3.tex} +\input{papers/multiplikation/einlteung.tex} +\input{papers/multiplikation/problemstellung.tex} +\input{papers/multiplikation/loesungsmethoden.tex} \printbibliography[heading=subbibliography] \end{refsection} diff --git a/buch/papers/multiplikation/packages.tex b/buch/papers/multiplikation/packages.tex index e4173c0..e4173c0 100644..100755 --- a/buch/papers/multiplikation/packages.tex +++ b/buch/papers/multiplikation/packages.tex diff --git a/buch/papers/multiplikation/papers/Strassen_GPU.pdf b/buch/papers/multiplikation/papers/Strassen_GPU.pdf Binary files differnew file mode 100755 index 0000000..4ce7625 --- /dev/null +++ b/buch/papers/multiplikation/papers/Strassen_GPU.pdf diff --git a/buch/papers/multiplikation/papers/Strassen_original_1969.pdf b/buch/papers/multiplikation/papers/Strassen_original_1969.pdf Binary files differnew file mode 100755 index 0000000..b647fc0 --- /dev/null +++ b/buch/papers/multiplikation/papers/Strassen_original_1969.pdf diff --git a/buch/papers/multiplikation/papers/assay_fast_MM.pdf b/buch/papers/multiplikation/papers/assay_fast_MM.pdf Binary files differnew file mode 100755 index 0000000..3cd6b63 --- /dev/null +++ b/buch/papers/multiplikation/papers/assay_fast_MM.pdf diff --git a/buch/papers/multiplikation/papers/strassen_video.txt b/buch/papers/multiplikation/papers/strassen_video.txt new file mode 100755 index 0000000..f84122c --- /dev/null +++ b/buch/papers/multiplikation/papers/strassen_video.txt @@ -0,0 +1 @@ +https://www.youtube.com/watch?v=0oJyNmEbS4w diff --git a/buch/papers/multiplikation/papers/winograd_original.pdf b/buch/papers/multiplikation/papers/winograd_original.pdf Binary files differnew file mode 100755 index 0000000..a7aba36 --- /dev/null +++ b/buch/papers/multiplikation/papers/winograd_original.pdf diff --git a/buch/papers/multiplikation/presentation/common.tex b/buch/papers/multiplikation/presentation/common.tex new file mode 100644 index 0000000..200d244 --- /dev/null +++ b/buch/papers/multiplikation/presentation/common.tex @@ -0,0 +1,79 @@ +% +% common.tex -- gemeinsame Definitionen +% +% (c) 2021 Michael Schmid, OST Campus Rapperswil +% +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{epic} +\usepackage{color} +\usepackage{array} +\usepackage{algorithm} +\usepackage{ifthen} +\usepackage{adjustbox} +\usepackage[noend]{algpseudocode} +\usepackage{neuralnetwork} +\usepackage{amsmath} +\usepackage{lmodern} +\usepackage{tikz} +\usetikzlibrary{decorations.text} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usepackage{pgfplots} +\usepackage{listings} +\usepackage{svg} + +\definecolor{codegreen}{rgb}{0,0.6,0} +\definecolor{codegray}{rgb}{0.5,0.5,0.5} +\definecolor{codepurple}{rgb}{0.58,0,0.82} +\definecolor{backcolour}{rgb}{0.95,0.95,0.92} +\definecolor{ost}{rgb}{164,0,136} + +\lstdefinestyle{mystyle}{ + backgroundcolor=\color{backcolour}, + commentstyle=\color{codegreen}, + keywordstyle=\color{magenta}, + numberstyle=\tiny\color{codegray}, + stringstyle=\color{codepurple}, + basicstyle=\footnotesize, + breakatwhitespace=false, + breaklines=true, + captionpos=b, + keepspaces=true, + numbers=left, + numbersep=2pt, + showspaces=false, + showstringspaces=false, + showtabs=false, + tabsize=2 +} + +\usetikzlibrary{fit} +\tikzset{% + highlight/.style={rectangle,rounded corners,fill=red!15,draw,fill opacity=0.5,inner sep=0pt} +} +\newcommand{\tikzmark}[2]{\tikz[overlay,remember picture,baseline=(#1.base)] \node (#1) {#2};} +% +\newcommand{\Highlight}[1][submatrix]{% + \tikz[overlay,remember picture]{ + \node[highlight,fit=(left.north west) (right.south east)] (#1) {};} +} + + +\lstset{style=mystyle} +\lstdefinestyle{mystyle}{ + morekeywords={cwt,contourf,datetick} +} + + +\usetikzlibrary{shapes.geometric} +\mode<beamer>{% +\usetheme[]{Frankfurt}} +\beamertemplatenavigationsymbolsempty +\title[]{Fast Matrix Multiplication} +\author[]{Michael Schmid} +\usecolortheme[named=ost]{structure} + +\date[]{31.05.2021} +\newboolean{presentation} diff --git a/buch/papers/multiplikation/presentation/presentation.nav b/buch/papers/multiplikation/presentation/presentation.nav new file mode 100644 index 0000000..2a01568 --- /dev/null +++ b/buch/papers/multiplikation/presentation/presentation.nav @@ -0,0 +1,59 @@ +\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}} +\headcommand {\beamer@framepages {1}{1}} +\headcommand {\beamer@sectionpages {1}{1}} +\headcommand {\beamer@subsectionpages {1}{1}} +\headcommand {\sectionentry {1}{Big $\mathcal {O}$}{2}{Big $\mathcal {O}$}{0}} +\headcommand {\slideentry {1}{0}{1}{2/4}{}{0}} +\headcommand {\beamer@framepages {2}{4}} +\headcommand {\slideentry {1}{0}{2}{5/6}{}{0}} +\headcommand {\beamer@framepages {5}{6}} +\headcommand {\slideentry {1}{0}{3}{7/8}{}{0}} +\headcommand {\beamer@framepages {7}{8}} +\headcommand {\slideentry {1}{0}{4}{9/10}{}{0}} +\headcommand {\beamer@framepages {9}{10}} +\headcommand {\slideentry {1}{0}{5}{11/12}{}{0}} +\headcommand {\beamer@framepages {11}{12}} +\headcommand {\slideentry {1}{0}{6}{13/13}{}{0}} +\headcommand {\beamer@framepages {13}{13}} +\headcommand {\slideentry {1}{0}{7}{14/14}{}{0}} +\headcommand {\beamer@framepages {14}{14}} +\headcommand {\beamer@sectionpages {2}{14}} +\headcommand {\beamer@subsectionpages {2}{14}} +\headcommand {\sectionentry {2}{Strassen's Algorithm}{15}{Strassen's Algorithm}{0}} +\headcommand {\slideentry {2}{0}{1}{15/15}{}{0}} +\headcommand {\beamer@framepages {15}{15}} +\headcommand {\slideentry {2}{0}{2}{16/18}{}{0}} +\headcommand {\beamer@framepages {16}{18}} +\headcommand {\slideentry {2}{0}{3}{19/19}{}{0}} +\headcommand {\beamer@framepages {19}{19}} +\headcommand {\slideentry {2}{0}{4}{20/20}{}{0}} +\headcommand {\beamer@framepages {20}{20}} +\headcommand {\slideentry {2}{0}{5}{21/23}{}{0}} +\headcommand {\beamer@framepages {21}{23}} +\headcommand {\slideentry {2}{0}{6}{24/24}{}{0}} +\headcommand {\beamer@framepages {24}{24}} +\headcommand {\slideentry {2}{0}{7}{25/25}{}{0}} +\headcommand {\beamer@framepages {25}{25}} +\headcommand {\slideentry {2}{0}{8}{26/26}{}{0}} +\headcommand {\beamer@framepages {26}{26}} +\headcommand {\slideentry {2}{0}{9}{27/29}{}{0}} +\headcommand {\beamer@framepages {27}{29}} +\headcommand {\slideentry {2}{0}{10}{30/32}{}{0}} +\headcommand {\beamer@framepages {30}{32}} +\headcommand {\beamer@sectionpages {15}{32}} +\headcommand {\beamer@subsectionpages {15}{32}} +\headcommand {\sectionentry {3}{Measurements}{33}{Measurements}{0}} +\headcommand {\slideentry {3}{0}{1}{33/40}{}{0}} +\headcommand {\beamer@framepages {33}{40}} +\headcommand {\slideentry {3}{0}{2}{41/49}{}{0}} +\headcommand {\beamer@framepages {41}{49}} +\headcommand {\beamer@sectionpages {33}{49}} +\headcommand {\beamer@subsectionpages {33}{49}} +\headcommand {\sectionentry {4}{How To Matrix Multiply}{50}{How To Matrix Multiply}{0}} +\headcommand {\slideentry {4}{0}{1}{50/50}{}{0}} +\headcommand {\beamer@framepages {50}{50}} +\headcommand {\beamer@partpages {1}{50}} +\headcommand {\beamer@subsectionpages {50}{50}} +\headcommand {\beamer@sectionpages {50}{50}} +\headcommand {\beamer@documentpages {50}} +\headcommand {\gdef \inserttotalframenumber {21}} diff --git a/buch/papers/multiplikation/presentation/presentation.pdf b/buch/papers/multiplikation/presentation/presentation.pdf Binary files differnew file mode 100644 index 0000000..842e68c --- /dev/null +++ b/buch/papers/multiplikation/presentation/presentation.pdf diff --git a/buch/papers/multiplikation/presentation/presentation.snm b/buch/papers/multiplikation/presentation/presentation.snm new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/buch/papers/multiplikation/presentation/presentation.snm diff --git a/buch/papers/multiplikation/presentation/presentation.tex b/buch/papers/multiplikation/presentation/presentation.tex new file mode 100644 index 0000000..2a4af45 --- /dev/null +++ b/buch/papers/multiplikation/presentation/presentation.tex @@ -0,0 +1,12 @@ +% +% MathSem-yyy-xxx.tex -- Präsentation +% +% (c) 2021 Michael Schmid, OST campus Rapperswil +% + +\documentclass[aspectratio=169]{beamer} +\input{common.tex} +%\setboolean{presentation}{true} +\begin{document} +\input{slides/slides.tex} +\end{document} diff --git a/buch/papers/multiplikation/presentation/slides/algo.tex b/buch/papers/multiplikation/presentation/slides/algo.tex new file mode 100644 index 0000000..0c3d130 --- /dev/null +++ b/buch/papers/multiplikation/presentation/slides/algo.tex @@ -0,0 +1,111 @@ +\begin{frame} + \frametitle{Algorithm} + \begin{columns} + \begin{column}{0.6\textwidth} + \begin{algorithm}[H]\caption{Square Matrix Multiplication} + \setlength{\lineskip}{7pt} + \begin{algorithmic}[1] + \Function{MM}{$\textbf{A}, \textbf{B}, \textbf{C}$} + \State $sum \gets 0$ + \State $n \gets columns(\textbf{A}) == rows(\textbf{B})$ + \State $m \gets rows(\textbf{A})$ + \State $p \gets columns(\textbf{B})$ + + \For{$i = 0,1,2 \dots,m-1$} + \For{$j = 0,1,2 \dots,p-1$} + \State $sum \gets 0$ + \For{$k = 0,1,2 \dots,n-1$} + \State $sum \gets sum + \textbf{A}[i][k] \cdot \textbf{B}[k][j]$ + \EndFor + \State $\textbf{C}[i][j] \gets sum $ + \EndFor + \EndFor + \State \textbf{return} $\textbf{C}$ + \EndFunction + \end{algorithmic} + \end{algorithm} +\end{column} +\begin{column}{0.4\textwidth} + \scalebox{0.6}{\parbox{\linewidth}{ + + \begin{tikzpicture}[ampersand replacement=\&,remember picture,overlay] + + \matrix (A)[matrix of math nodes, label skeleton, left delimiter=[,right delimiter={]}] at (2,-2.8) + { + A_{1,1} \& \cdots \& A_{1,k} \& \cdots \& A_{1,n} \\ + \vdots \& \& \vdots \& \& \vdots \\ + A_{i,1} \& \cdots \& A_{i,k} \& \cdots \& A_{i,n} \\ + \vdots \& \& \vdots \& \& \vdots \\ + A_{m,1} \& \cdots \& A_{m,k} \& \cdots \& A_{m,n} \\ + }; + + \matrix (B)[matrix of math nodes, label skeleton, left delimiter=[,right delimiter={]}] at (7.5,1.2) + { + B_{1,1} \& \cdots \& B_{1,j} \& \cdots \& B_{1,p} \\ + \vdots \& \& \vdots \& \& \vdots \\ + B_{k,1} \& \cdots \& B_{k,j} \& \cdots \& B_{k,p} \\ + \vdots \& \& \vdots \& \& \vdots \\ + B_{n,1} \& \cdots \& B_{n,j} \& \cdots \& B_{n,p} \\ + }; + + \matrix (C)[matrix of math nodes, label skeleton, left delimiter=[,right delimiter={]}] at (7.5,-2.8) + { + C_{1,1} \& \cdots \& C_{1,j} \& \cdots \& C_{1,p} \\ + \vdots \& \& \vdots \& \& \vdots \\ + C_{i,1} \& \cdots \& C_{i,j} \& \cdots \& C_{i,p} \\ + \vdots \& \& \vdots \& \& \vdots \\ + C_{m,1} \& \cdots \& C_{m,j} \& \cdots \& C_{m,p} \\ + }; + + + \begin{scope}[on background layer] + \node[opacity=0.5, rounded corners=2pt, inner sep=-1pt, fill=green, fit=(A-3-1)(A-3-5)] {}; + \node[opacity=0.5, rounded corners=2pt, inner sep=-1pt, fill=blue, fit=(B-1-3)(B-5-3)] {}; + \node[opacity=0.5, rounded corners=2pt, inner sep=-1pt, fill=red, fit=(C-3-3)] {}; + + \end{scope} + + + + + \end{tikzpicture} + }} + \end{column} +\end{columns} +\end{frame} + + +\begin{frame} + \frametitle{Algorithm} + +\begin{columns} + \begin{column}{0.6\textwidth} +\begin{algorithm}[H]\caption{Square Matrix Multiplication} + \setlength{\lineskip}{7pt} + \begin{algorithmic}[1] + \Function{MM}{$\textbf{A}, \textbf{B}, \textbf{C}$} + \State $sum \gets 0$ + \State $n \gets columns(\textbf{A}) == rows(\textbf{B})$ + \State $m \gets rows(\textbf{A})$ + \State $p \gets columns(\textbf{B})$ + + \For{$i = 0,1,2 \dots,m-1$} + \For{$j = 0,1,2 \dots,p-1$} + \State $sum \gets 0$ + \For{$k = 0,1,2 \dots,n-1$} + \State $sum \gets sum + \textbf{A}[i][k] \cdot \textbf{B}[k][j]$ + \EndFor + \State $\textbf{C}[i][j] \gets sum $ + \EndFor + \EndFor + \State \textbf{return} $\textbf{C}$ + \EndFunction + \end{algorithmic} +\end{algorithm} +\end{column} +\begin{column}{0.4\textwidth} +\Huge$\mathcal{O}(n^3)$ +\end{column} +\end{columns} + +\end{frame} diff --git a/buch/papers/multiplikation/presentation/slides/bigO.tex b/buch/papers/multiplikation/presentation/slides/bigO.tex new file mode 100644 index 0000000..d425da8 --- /dev/null +++ b/buch/papers/multiplikation/presentation/slides/bigO.tex @@ -0,0 +1,251 @@ + +\begin{frame} + \frametitle{Big $\mathcal{O}$ notation} +\begin{itemize} + \item <1-> Time complexity of an algorithm + \item <2-> How many multiplications in a function + \item <3-> Drop Constants +\end{itemize} +\end{frame} + + +\begin{frame} + \frametitle{Big $\mathcal{O}$ notation} + \onslide<1->{ + + \begin{algorithm}[H]\caption{Foo 1} + \setlength{\lineskip}{7pt} + \begin{algorithmic}[1] + \Function{foo}{$a, b$} + \State \textbf{return} $a+b$ + \EndFunction + \end{algorithmic} + \end{algorithm} +} +\onslide<2->{ +$\mathcal{O}(1)$ + } +\end{frame} + +\begin{frame} + \frametitle{Big $\mathcal{O}$ notation} + \onslide<1->{ + + \begin{algorithm}[H]\caption{Foo 2} + \setlength{\lineskip}{7pt} + \begin{algorithmic}[1] + \Function{foo}{$a, b$} + \State $ x \gets a+b $ + \State $ y \gets a \cdot b $ + \State \textbf{return} $x+y$ + \EndFunction + \end{algorithmic} + \end{algorithm} +} +\onslide<2->{ +$\mathcal{O}(1) + \mathcal{O}(1) = 2\mathcal{O}(1) = \mathcal{O}(1) $ + } +\end{frame} + +\begin{frame} + \frametitle{Big $\mathcal{O}$ notation} + \onslide<1->{ + + \begin{algorithm}[H]\caption{Foo 3} + \setlength{\lineskip}{7pt} + \begin{algorithmic}[1] + \Function{foo}{$\mathbf{A}, \mathbf{B}$,n} + \State $ sum \gets 0$ + \For{$i = 0,1,2 \dots,n$} + \State $ sum \gets sum + A[i] \cdot B[i] $ + \EndFor + + \State \textbf{return} $sum$ + + \EndFunction + \end{algorithmic} + \end{algorithm} +} +\onslide<2->{ +$\mathcal{O}(n)$ + } +\end{frame} + +\begin{frame} + \frametitle{Big $\mathcal{O}$ notation} + \onslide<1->{ + + \begin{algorithm}[H]\caption{Foo 4} + \setlength{\lineskip}{7pt} + \begin{algorithmic}[1] + \Function{foo}{$\mathbf{A}, \mathbf{B}$,n} + \State $ sum \gets 0$ + \For{$i = 0,1,2 \dots,n$} + \For{$j = 0,1,2 \dots,n$} + \State $ sum \gets sum + A[i] \cdot B[j] $ + \EndFor + \EndFor + \State \textbf{return} $sum$ + \EndFunction + \end{algorithmic} + \end{algorithm} +} +\onslide<2->{ +$\mathcal{O}(n^2)$ + } +\end{frame} + +% \begin{frame} +% \frametitle{Big $\mathcal{O}$ notation} +% \onslide<1->{ +% +% \begin{algorithm}[H]\caption{Fibonacci} +% \setlength{\lineskip}{7pt} +% \begin{algorithmic}[1] +% \Function{fib}{$n$} +% \If{$n <= 1$} +% \State \textbf{return} $1$ +% \Else +% \State \textbf{return} fib($n-1$) + fib($n-2$) +% \EndIf +% +% \EndFunction +% \end{algorithmic} +% \end{algorithm} +% } +% \onslide<2->{ +% \[ +% \langle x,y \rangle = +% \begin{cases} +% \displaystyle $\mathcal{O}(1)$ & \text{if $n \leq 2$}\\ +% \displaystyle $ 2 \mathcal{T}(\frac{n}{2})$ & \text{if $n > 2$} +% \end{cases} +% \] } +% \end{frame} + + +\begin{frame} + \frametitle{Big $\mathcal{O}$ notation} +\begin{tikzpicture} +\begin{axis}[ + axis lines = left, + xlabel = $n$ (Data Input), + ylabel = {$t$ (time)}, + legend pos=north east, + very thick, + ymax = 20, + yticklabels=\empty, + xticklabels=\empty, + scale only axis=true, + width=12cm, height=6cm, + ] +%Below the red parabola is defined +\addplot [ + domain= 1:6, + samples=100, + color=red, +] +{1}; +\addlegendentry{$\mathcal{O}(1)$} +%Here the blue parabloa is defined +\addplot [ + domain= 1:6, + samples=100, + color=green, +] +{x}; +\addlegendentry{$\mathcal{O}(n)$} +\addplot [ + domain= 1:6, + samples=100, + color=blue, +] +{x^2}; +\addlegendentry{$\mathcal{O}(n^2)$} +\addplot [ + domain= 1:6, + samples=100, + color=purple, +] +{x^3}; +\addlegendentry{$\mathcal{O}(n^3)$} +\addplot [ + domain= 1:3, + samples=100, + color=black, +] +{exp(x)}; +\addlegendentry{$\mathcal{O}(e^n)$} +\addplot [ + domain= 1:6, + samples=100, + color=orange, +] +{log2(x)}; +\addlegendentry{$\mathcal{O}(\log n)$} +\end{axis} +\end{tikzpicture} + +\end{frame} + +\begin{frame} + \frametitle{Big $\mathcal{O}$ notation} +\begin{tikzpicture} +\begin{axis}[ + axis lines = left, + xlabel = $n$ (Data Input), + ylabel = {$t$ (time)}, + legend pos=north east, + very thick, + ymax = 500, + yticklabels=\empty, + xticklabels=\empty, + scale only axis=true, + width=12cm, height=6cm, + ] +\addplot [ + domain= 1:20, + samples=100, + color=red, +] +{1}; +\addlegendentry{$\mathcal{O}(1)$} +\addplot [ + domain= 1:20, + samples=100, + color=green, +] +{x}; +\addlegendentry{$\mathcal{O}(n)$} +\addplot [ + domain= 1:20, + samples=100, + color=blue, +] +{x^2}; +\addlegendentry{$\mathcal{O}(n^2)$} +\addplot [ + domain= 1:10, + samples=100, + color=purple, +] +{x^3}; +\addlegendentry{$\mathcal{O}(n^3)$} +\addplot [ + domain= 1:10, + samples=100, + color=black, +] +{exp(x)}; +\addlegendentry{$\mathcal{O}(e^n)$} +\addplot [ + domain= 1:20, + samples=100, + color=orange, +] +{log2(x)}; +\addlegendentry{$\mathcal{O}(\log n)$} +\end{axis} +\end{tikzpicture} + +\end{frame} diff --git a/buch/papers/multiplikation/presentation/slides/blas.tex b/buch/papers/multiplikation/presentation/slides/blas.tex new file mode 100644 index 0000000..ed498a3 --- /dev/null +++ b/buch/papers/multiplikation/presentation/slides/blas.tex @@ -0,0 +1,18 @@ +\begin{frame} +\frametitle{BLAS, LAPACK} +\begin{itemize} + \item Basic Linear Algebra Subprograms + \begin{itemize} + \item $\mathbf{y} = \alpha \mathbf{x}+\mathbf{y}$ + \item $\mathbf{y} = \alpha \mathbf{A}\mathbf{x}+ \beta \mathbf{y}$ + \item $\mathbf{C} = \alpha \mathbf{A}\mathbf{B}+ \beta \mathbf{C}$ + + \end{itemize} + \item Linear Algebra Package + \begin{itemize} + \item QR decomposition + \item Singular value decomposition + \item Eigenvalues + \end{itemize} +\end{itemize} +\end{frame} diff --git a/buch/papers/multiplikation/presentation/slides/conclusuion.tex b/buch/papers/multiplikation/presentation/slides/conclusuion.tex new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/buch/papers/multiplikation/presentation/slides/conclusuion.tex diff --git a/buch/papers/multiplikation/presentation/slides/logo.pdf b/buch/papers/multiplikation/presentation/slides/logo.pdf Binary files differnew file mode 100644 index 0000000..d78ca88 --- /dev/null +++ b/buch/papers/multiplikation/presentation/slides/logo.pdf diff --git a/buch/papers/multiplikation/presentation/slides/meas.tex b/buch/papers/multiplikation/presentation/slides/meas.tex new file mode 100644 index 0000000..489c010 --- /dev/null +++ b/buch/papers/multiplikation/presentation/slides/meas.tex @@ -0,0 +1,42 @@ +\begin{frame} + \frametitle{Measurements Python} + \only<1>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/meas_8.pdf}} + \only<2>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/meas_16.pdf}} + \only<3>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/meas_32.pdf}} + \only<4>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/meas_64.pdf}} + \only<5>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/meas_128.pdf}} + \only<6>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/meas_256.pdf}} + \only<7>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/meas_512.pdf}} + \only<8>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/meas_1024.pdf}} +\end{frame} + + +\begin{frame} + \frametitle{Measurements C} + \only<1>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/c_meas_8.pdf}} + \only<2>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/c_meas_16.pdf}} + \only<3>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/c_meas_32.pdf}} + \only<4>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/c_meas_64.pdf}} + \only<5>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/c_meas_128.pdf}} + \only<6>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/c_meas_256.pdf}} + \only<7>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/c_meas_512.pdf}} + \only<8>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/c_meas_1024.pdf}} + \only<9>{ + \includegraphics[width=\textwidth,height=0.9\textheight,keepaspectratio]{../code/c_meas_2048.pdf}} +\end{frame} diff --git a/buch/papers/multiplikation/presentation/slides/nn.tex b/buch/papers/multiplikation/presentation/slides/nn.tex new file mode 100644 index 0000000..e74e970 --- /dev/null +++ b/buch/papers/multiplikation/presentation/slides/nn.tex @@ -0,0 +1,97 @@ + +\begin{frame} + \frametitle{Neural Network} + \centering +\newcommand{\inputnum}{4} + +% Hidden layer neurons'number +\newcommand{\hiddennumA}{5} +\newcommand{\hiddennumB}{6} + +% Output layer neurons'number +\newcommand{\outputnum}{4} + +\begin{tikzpicture} + + +% Input Layer +\foreach \i in {1,...,\inputnum} +{ + \node[circle, + minimum size = 6mm, + fill=blue!30] (Input-\i) at (0,-\i) {}; +} + +% Hidden Layer1 +\foreach \i in {1,...,\hiddennumA} +{ + \node[circle, + minimum size = 6mm, + fill=red!50, + yshift=(\hiddennumA-\inputnum)*5 mm + ] (Hidden1-\i) at (2.5,-\i) {}; +} + +% Hidden Layer2 +\foreach \i in {1,...,\hiddennumB} +{ + \node[circle, + minimum size = 6mm, + fill=red!50, + yshift=(\hiddennumB-\inputnum)*5 mm + ] (Hidden2-\i) at (5,-\i) {}; +} + +% Output Layer +\foreach \i in {1,...,\outputnum} +{ + \node[circle, + minimum size = 6mm, + fill=green!50, + yshift=(\outputnum-\inputnum)*5 mm + ] (Output-\i) at (7.5,-\i) {}; +} + +% Connect neurons In-Hidden +\foreach \i in {1,...,\inputnum} +{ + \foreach \j in {1,...,\hiddennumA} + { + \draw[->, shorten >=1pt] (Input-\i) -- (Hidden1-\j); + } +} + +% Connect neurons In-Hidden +\foreach \i in {1,...,\hiddennumA} +{ + \foreach \j in {1,...,\hiddennumB} + { + \draw[->, shorten >=1pt] (Hidden1-\i) -- (Hidden2-\j); + } +} + +% Connect neurons Hidden-Out +\foreach \i in {1,...,\hiddennumB} +{ + \foreach \j in {1,...,\outputnum} + { + \draw[->, shorten >=1pt] (Hidden2-\i) -- (Output-\j); + } +} + +% Inputs +\foreach \i in {1,...,\inputnum} +{ + \draw[<-, shorten <=1pt] (Input-\i) -- ++(-1,0) + node[left]{\LARGE{$x_{\i}$}}; +} + +% Outputs +\foreach \i in {1,...,\outputnum} +{ + \draw[->, shorten <=1pt] (Output-\i) -- ++(1,0) + node[right]{\LARGE{$y_{\i}$}}; +} + +\end{tikzpicture} +\end{frame} diff --git a/buch/papers/multiplikation/presentation/slides/parcomp.tex b/buch/papers/multiplikation/presentation/slides/parcomp.tex new file mode 100644 index 0000000..1ba39ee --- /dev/null +++ b/buch/papers/multiplikation/presentation/slides/parcomp.tex @@ -0,0 +1,66 @@ +% !TEX root = presentation.tex + +\begin{frame} + \frametitle{Vector-Matrix Multiplication} +\center{ + \begin{tikzpicture}[ampersand replacement=\&] + + \matrix (A)[matrix of math nodes, label skeleton, left delimiter=[,right delimiter={]}] + { + A_{1,1} \& A_{1,2} \& A_{1,3} \& A_{1,4} \\ + }; + + \matrix (B)[matrix of math nodes, label skeleton, left delimiter=[,right delimiter={]}] at (5,-0.95) + { + B_{1,1} \& B_{1,2} \& B_{1,3} \& B_{1,4} \& B_{1,5} \\ + B_{2,1} \& B_{2,2} \& B_{2,3} \& B_{2,4} \& B_{2,5} \\ + B_{3,1} \& B_{3,2} \& B_{3,3} \& B_{3,4} \& B_{3,5} \\ + B_{4,1} \& B_{4,2} \& B_{4,3} \& B_{4,4} \& B_{4,5} \\ + }; + + \matrix (C)[matrix of math nodes, label skeleton, left delimiter=[,right delimiter={]}] at (5,-3) + { + C_{1,1} \& C_{1,2} \& C_{1,3} \& C_{1,4} \& C_{1,5}\\ + }; + + \foreach \i in {1,...,4} + { + \pgfmathtruncatemacro{\ii}{\i+1} + \onslide<\ii>{ + + \foreach \j in {1,...,5} + { + \draw[thick] (A-1-\i.south) to [out=-90,in=135]node[visible on=<\i->, anchor=north]{} (B-\i-\j.center); + + } + } + } + + + \end{tikzpicture} +} +\end{frame} + + +\begin{frame} + \frametitle{DSP Architecture} +\scalebox{2}{ + \begin{tikzpicture} + \node (mul) at (0,0) [circle,draw=black,inner sep=0pt,minimum size=0.5cm] {X}; + \node (mac) at (2,0) [circle,draw=black,inner sep=0pt,minimum size=0.5cm] {\textbf{+}}; + + \node at (-2,0.3) {$A[n]$}; + \node at (0.4,2) {$B[n]$}; + \node at (4,0.3) {$C[n]$}; + + \draw[thick, ->] (-2,0) --++ (mul); + \draw[thick, ->] (0,2) --++ (mul); + \draw[thick, ->] (mul) -- (mac); + \draw[thick] (mac) --++ (1,0) node (i) {}; + \draw[thick, ->] (i.center) --++ (0,1) --++ (-1,0) -- (mac); + \draw[thick, ->] (i.center) --++ (1,0); + + + \end{tikzpicture} + } +\end{frame} diff --git a/buch/papers/multiplikation/presentation/slides/slides.tex b/buch/papers/multiplikation/presentation/slides/slides.tex new file mode 100644 index 0000000..64edb86 --- /dev/null +++ b/buch/papers/multiplikation/presentation/slides/slides.tex @@ -0,0 +1,15 @@ +% !TEX root = presentation.tex +\begin{frame} +\titlepage +\end{frame} +% +\section{Big $\mathcal{O}$} +\input{slides/BigO.tex} +\section{Strassen's Algorithm} +\input{slides/strassen.tex} +% \input{slides/nn.tex} +\section{Measurements} +\input{slides/meas.tex} +% \input{slides/parcomp.tex} +\section{How To Matrix Multiply} +\input{slides/blas.tex} diff --git a/buch/papers/multiplikation/presentation/slides/strassen.tex b/buch/papers/multiplikation/presentation/slides/strassen.tex new file mode 100644 index 0000000..c3398d5 --- /dev/null +++ b/buch/papers/multiplikation/presentation/slides/strassen.tex @@ -0,0 +1,429 @@ +\begin{frame} + \frametitle{Strassen's Algorithm} + \includegraphics[page=1,width=\textwidth,height=0.8\textheight,keepaspectratio]{../papers/Strassen_original_1969.pdf} + \includegraphics[page=2,width=\textwidth,height=0.8\textheight,keepaspectratio]{../papers/Strassen_original_1969.pdf} \includegraphics[page=3,width=\textwidth,height=0.8\textheight,keepaspectratio]{../papers/Strassen_original_1969.pdf} + \end{frame} + +\begin{frame} + \frametitle{Strassen's Algorithm} + \centering + \large +\onslide<1->{ + $ + \mathbf{A B = C} + $ +} + +\onslide<2->{ + + +\medskip + $ + \begin{bmatrix} + A_{11} & A_{12}\\ + A_{21} & A_{22} + \end{bmatrix} + \begin{bmatrix} + B_{11} & B_{12}\\ + B_{21} & B_{22} + \end{bmatrix} + = + \begin{bmatrix} + C_{11} & C_{12}\\ + C_{21} & C_{22} + \end{bmatrix} + $ + } + + + \onslide<3->{ + +\medskip +$ +C_{11} = A_{11} \cdot B_{11} + A_{12} \cdot B_{21} +$ + +$ +C_{12} = A_{11} \cdot B_{12} + A_{12} \cdot B_{22} +$ + +$ +C_{21} = A_{21} \cdot B_{11} + A_{22} \cdot B_{21} +$ + +$ +C_{22} = A_{21} \cdot B_{12} + A_{22} \cdot B_{22} +$ +} +\end{frame} + +\input{slides/algo.tex} + + + +\begin{frame} + \frametitle{Strassen's Algorithm} + \begin{columns} + \begin{column}{0.5\textwidth} + \onslide<1->{ + \large + \begin{math} + \begin{aligned} + \text{I} &= (A_{11} + A_{22}) \cdot (B_{11} + B_{22}) \\ + \text{II} &= (A_{21} + A_{22}) \cdot B_{11} \\ + \text{III} &= A_{11} \cdot (B_{12}-B_{22}) \\ + \text{IV} &= A_{22} \cdot (-B_{11}+B_{21}) \\ + \text{V} &= (A_{11} + A_{12}) \cdot B_{22} \\ + \text{VI} &= (-A_{11} + A_{21}) \cdot (B_{11} + B_{12}) \\ + \text{VII} &= (A_{12} - A_{22}) \cdot (B_{21} + B_{22}) \\ + \end{aligned} + \end{math} + } + \end{column} + + \begin{column}{0.5\textwidth} + \onslide<2->{ + \large + \begin{math} + \begin{aligned} + C_{11} &= \text{I} + \text{IV} - \text{V} + \text{VII} \\ + C_{21} &= \text{II} + \text{IV} \\ + C_{12} &= \text{III} + \text{V}\\ + C_{22} &= \text{I} + \text{III} - \text{II} + \text{VI} \\ + \end{aligned} + \end{math} + } + \end{column} +\end{columns} + +\onslide<3->{ + +\bigskip +\centering +\tiny +\begin{math} +\begin{aligned} + C_{11} &= (A_{11} + A_{22}) \cdot (B_{11} + B_{22}) + A_{22} \cdot (-B_{11}+B_{21}) - (A_{11} + A_{12}) \cdot B_{22} + (A_{12} - A_{22}) \cdot (B_{21} + B_{22}) \\ + C_{11} &= A_{11}B_{11} + A_{11}B_{22} + A_{22}B_{11} + A_{22}B_{22} -A_{22}B_{11}+A_{22}B_{21} - A_{11}B_{22} - A_{12}B_{22}+ A_{12}B_{21} + A_{12}B_{22} - A_{22}B_{21} - A_{22}B_{22} \\ + C_{11} &= A_{11}B_{11} + A_{12}B_{21} +\end{aligned} +\end{math} +} + +\end{frame} + + +\begin{frame} +\begin{adjustbox}{width=\textwidth} +\begin{tikzpicture}[ampersand replacement=\&] + + \foreach \i in {1,...,4} + { + \small{ + \matrix (X\i)[matrix of math nodes,nodes in empty cells, + nodes = {draw, minimum size=10mm, + anchor=center, + inner sep=0pt, outer sep=0pt}, + column sep=-\pgflinewidth, + row sep=-\pgflinewidth, + ] at (0,-\i*5) + { + A_{11}B_{11} \& A_{12}B_{11} \& A_{21}B_{11} \& A_{22}B_{11} \\ + A_{11}B_{21} \& A_{12}B_{21} \& A_{21}B_{21} \& A_{22}B_{21} \\ + A_{11}B_{11} \& A_{12}B_{12} \& A_{21}B_{12} \& A_{22}B_{12} \\ + A_{11}B_{22} \& A_{12}B_{22} \& A_{21}B_{22} \& A_{22}B_{22} \\ + };} + + \foreach \j in {1,...,7} + { + \matrix(M\i\j)[matrix of math nodes,nodes in empty cells, + nodes = {draw, minimum size=10mm, + anchor=center, + inner sep=0pt, outer sep=0pt}, + column sep=-\pgflinewidth, + row sep=-\pgflinewidth, + ] at (\j*5,-\i*5) + { + \& \& \& \\ + \& \& \& \\ + \& \& \& \\ + \& \& \& \\ + }; + } + } + +\huge{ + \node at (-3,-20) {$C_{22}=$}; + \node at (-3,-15) {$C_{21}=$} ; + \node at (-3,-10) {$C_{12}=$} ; + \node at (-3,-5) {$C_{11}=$} ; + + \node at (5,-2) {I}; + \node at (10,-2) {II}; + \node at (15,-2) {III}; + \node at (20,-2) {IV}; + \node at (25,-2) {V}; + \node at (30,-2) {VI}; + \node at (35,-2) {VII}; + } + + + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X1-1-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X1-2-2)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X2-3-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X2-4-2)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X3-1-3)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X3-2-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X4-3-3)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X4-4-4)] {}; + + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-4-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-1-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-4-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-1-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M14-1-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M14-2-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M15-4-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M15-4-2)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M17-2-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M17-4-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M17-2-2)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M17-4-2)] {}; + + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M23-3-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M23-4-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M25-4-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M25-4-2)] {}; + + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M32-1-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M32-1-3)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M34-1-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M34-2-4)] {}; + + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-4-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-1-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-4-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-1-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M42-1-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M42-1-3)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M43-3-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M43-4-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M46-1-3)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M46-1-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M46-3-3)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M46-3-1)] {}; +\end{tikzpicture} +\end{adjustbox} +\end{frame} + + +\begin{frame} + \frametitle{Strassen's Algorithm} + \begin{columns} + \begin{column}{0.5\textwidth} + \large + \begin{math} + \begin{aligned} + \text{I} &= (A_{11} + A_{22}) \cdot (B_{11} + B_{22}) \\ + \text{II} &= (A_{21} + A_{22}) \cdot B_{11} \\ + \text{III} &= A_{11} \cdot (B_{12}-B_{22}) \\ + \text{IV} &= A_{22} \cdot (-B_{11}+B_{21}) \\ + \text{V} &= (A_{11} + A_{12}) \cdot B_{22} \\ + \text{VI} &= (-A_{11} + A_{21}) \cdot (B_{11} + B_{12}) \\ + \text{VII} &= (A_{12} - A_{22}) \cdot (B_{21} + B_{22}) \\ + \end{aligned} + \end{math} + + \end{column} + + \begin{column}{0.5\textwidth} + \large + \begin{math} + \begin{aligned} + C_{11} &= \text{I} + \text{IV} - \text{V} + \text{VII} \\ + C_{21} &= \text{II} + \text{IV} \\ + C_{12} &= \text{III} + \text{V}\\ + C_{22} &= \text{I} + \text{III} - \text{II} + \text{VI} \\ + \end{aligned} + \end{math} + + \end{column} +\end{columns} +\end{frame} + + + +\begin{frame} + \frametitle{Strassen's Algorithm} + +\begin{columns} + \begin{column}{0.5\textwidth} +\large +\begin{math} +\begin{aligned} +\text{\textbf{I}} &= (\mathbf{A_{11}} + \mathbf{A_{22}}) \cdot (\mathbf{B_{11}} + \mathbf{B_{22}}) \\ +\text{\textbf{II}} &= (\mathbf{A_{21}} + \mathbf{A_{22}}) \cdot \mathbf{B_{11}} \\ +\text{\textbf{III}} &= \mathbf{A_{11}} \cdot (\mathbf{B_{12}}-\mathbf{B_{22}}) \\ +\text{\textbf{IV}} &= \mathbf{A_{22}} \cdot (-\mathbf{B_{11}}+\mathbf{B_{21}}) \\ +\text{\textbf{V}} &= (\mathbf{A_{11}} + \mathbf{A_{12}}) \cdot \mathbf{B_{22}} \\ +\text{\textbf{VI}} &= (-\mathbf{A_{11}} + \mathbf{A_{21}}) \cdot (\mathbf{B_{11}} + \mathbf{B_{12}}) \\ +\text{\textbf{VII}} &= (\mathbf{A_{12}} - \mathbf{A_{22}}) \cdot (\mathbf{B_{21}} + \mathbf{B_{22}}) \\ +\end{aligned} +\end{math} + +\end{column} + +\begin{column}{0.5\textwidth} + \large + \begin{math} + \begin{aligned} + \mathbf{C_{11}} &= \text{\textbf{I}} + \text{\textbf{IV}} - \text{\textbf{V}} + \text{\textbf{VII}} \\ + \mathbf{C_{21}} &= \text{\textbf{II}} + \text{\textbf{IV}} \\ + \mathbf{C_{12}} &= \text{\textbf{III}} + \text{\textbf{V}}\\ + \mathbf{C_{22}} &= \text{\textbf{I}} + \text{\textbf{III}} - \text{\textbf{II}} + \text{\textbf{VI}} \\ + \end{aligned} + \end{math} + +\end{column} +\end{columns} + +\end{frame} + +\begin{frame} + \frametitle{Algorithm} + \onslide<1->{ + + \scalebox{0.45}{\parbox{\linewidth}{ + \begin{algorithm}[H]\caption{Strassen Matrix Multiplication} + \setlength{\lineskip}{7pt} + \begin{algorithmic}[1] + \Function{strassen}{$\textbf{A}, \textbf{B}, n$} + \If{$n = 2$} + \State $ \mathbf{C} \gets zeros((n, n))$ + \State $P \gets (A[0][0]+A[1][1])\cdot( B[0][0]+B[1][1])$ + \State $Q \gets (A[1][0]+A[1][1])\cdot B[0][0]$ + \State $R \gets A[0][0]\cdot (B[0][1]-B[1][1])$ + \State $S \gets A[1][1]\cdot (B[1][0]-B[0][0])$ + \State $T \gets (A[0][0]+A[0][1])\cdot B[1][1]$ + \State $U \gets (A[1][0]-A[0][0])\cdot (B[0][0]+B[0][1])$ + \State $V \gets (A[0][1]-A[1][1])\cdot (B[1][0]+B[1][1])$ + \State $C[0][0] \gets P+S-T+V$ + \State $C[0][1] \gets R+T$ + \State $C[1][0] \gets Q+S$ + \State $C[1][1] \gets P+R-Q+U$ + \Else + \State $ m \gets n/2$ + \State $\mathbf{A11}, \mathbf{A12}, \mathbf{A21}, \mathbf{A22} \gets \mathbf{A}[:m][:m], \mathbf{A}[:m][m:], \mathbf{A}[m:][:m], \mathbf{A}[m:][m:]$ + \State $\mathbf{B11}, \mathbf{B12}, \mathbf{B21}, \mathbf{B22} \gets \mathbf{B}[:m][:m], \mathbf{B}[:m][m:], \mathbf{B}[m:][:m], \mathbf{B}[m:][m:]$ + + \State $ \mathbf{P} \gets \text{strassen}((\mathbf{A11}+ \mathbf{A22}),(\mathbf{B11}+\mathbf{B22}), m)$ + \State $ \mathbf{Q} \gets \text{strassen}((\mathbf{A21}+ \mathbf{A22}), \mathbf{B11},m)$ + \State $ \mathbf{R} \gets \text{strassen}( \mathbf{A11},(\mathbf{B12}- \mathbf{B22}),m)$ + \State $ \mathbf{S} \gets \text{strassen}( \mathbf{A22},(\mathbf{B21}- \mathbf{B11}),m)$ + \State $ \mathbf{T} \gets \text{strassen}((\mathbf{A11}+ \mathbf{A12}), \mathbf{B22},m)$ + \State $ \mathbf{U} \gets \text{strassen}((\mathbf{A21}- \mathbf{A11}),(\mathbf{B11}+\mathbf{B12}),m)$ + \State $ \mathbf{V} \gets \text{strassen}((\mathbf{A12}- \mathbf{A22}),(\mathbf{B21}+\mathbf{B22}),m)$ + + + + \State $\mathbf{C11} \gets \mathbf{P+S-T+V}$ + \State $\mathbf{C12} \gets \mathbf{R+T}$ + \State $\mathbf{C21} \gets \mathbf{Q+S}$ + \State $\mathbf{C22} \gets \mathbf{P+R-Q+U}$ + \State $ C \gets vstack((hstack((C11, C12)), hstack((C21, C22))))$ + + \EndIf + \State \textbf{return} $\textbf{C}$ + + \EndFunction + \end{algorithmic} + \end{algorithm} + }}} +% \[ +% \mathcal{T}(n) = \left\{\begin{array}{lr} +% 1, & \text{if} n \leq 2\\ +% 7 \mathcal{T}(\frac{n}{2}) + n^2, & \text{if} n > 2\\ +% \end{array}\right\} +% \] +\only<2>{ + $ + \mathcal{T}(n) = + \begin{cases} + 1 & \text{if } n \leq 2\\ + 7 \cdot \mathcal{T}(\frac{n}{2}) + n^2 & \text{if } n > 2 + \end{cases} = \mathcal{O}(n^{\log_2 7})$ + +} +\only<3>{ + $ + \mathcal{T}(n) = + \begin{cases} + 1 & \text{if } n \leq 2\\ + 7 \cdot \mathcal{T}(\frac{n}{2}) + n^2 & \text{if } n > 2 + \end{cases} = \mathcal{O}(n^{2.81})$ + +} + +\end{frame} + +\begin{frame} + \frametitle{Algorithm} + \onslide<1->{ + + \scalebox{0.45}{\parbox{\linewidth}{ + \begin{algorithm}[H]\caption{Strassen Matrix Multiplication} + \setlength{\lineskip}{7pt} + \begin{algorithmic}[1] + \Function{MM}{$\textbf{A}, \textbf{B}, n$} + \If{$n = 2$} + \State $ \mathbf{C} \gets zeros((n, n))$ + \State $C[0, 0] \gets A[0][0]*B[0][0]+A[0][1]*B[1][0]$ + \State $C[0, 1] \gets A[0][0]*B[0][1]+A[0][1]*B[1][1]$ + \State $C[1, 0] \gets A[1][0]*B[0][0]+A[1][1]*B[1][0]$ + \State $C[1, 1] \gets A[1][0]*B[0][1]+A[1][1]*B[1][1]$ + \Else + \State $ m \gets n/2$ + \State $\mathbf{A11}, \mathbf{A12}, \mathbf{A21}, \mathbf{A22} \gets \mathbf{A}[:m][:m], \mathbf{A}[:m][m:], \mathbf{A}[m:][:m], \mathbf{A}[m:][m:]$ + \State $\mathbf{B11}, \mathbf{B12}, \mathbf{B21}, \mathbf{B22} \gets \mathbf{B}[:m][:m], \mathbf{B}[:m][m:], \mathbf{B}[m:][:m], \mathbf{B}[m:][m:]$ + + \State $\mathbf{C11} \gets \text{MM}(\mathbf{A11}, \mathbf{B11}) + \text{MM}(\mathbf{A12}, \mathbf{B21})$ + \State $\mathbf{C12} \gets \text{MM}(\mathbf{A11},\mathbf{B12}) + \text{MM}(\mathbf{A12},\mathbf{B22})$ + \State $\mathbf{C21} \gets \text{MM}(\mathbf{A21}, \mathbf{B11}) + \text{MM}(\mathbf{A22}, \mathbf{B21})$ + \State $\mathbf{C22} \gets \text{MM}(\mathbf{A21}, \mathbf{B12}) + \text{MM}(\mathbf{A22}, \mathbf{B22})$ + \State $ C \gets vstack((hstack((C11, C12)), hstack((C21, C22))))$ + + \EndIf + \State \textbf{return} $\textbf{C}$ + + \EndFunction + \end{algorithmic} + \end{algorithm} + \bigskip + \bigskip + \bigskip + \bigskip + \bigskip + }}} + +\only<2>{ + + + $ + \mathcal{T}(n) = + \begin{cases} + 1 & \text{if } n \leq 2\\ + 8 \cdot \mathcal{T}(\frac{n}{2}) + n^2 & \text{if } n > 2 + \end{cases} = \mathcal{O}(n^{\log_2 8})$ + +} +\only<3>{ + $ + \mathcal{T}(n) = + \begin{cases} + 1 & \text{if } n \leq 2\\ + 8 \cdot \mathcal{T}(\frac{n}{2}) + n^2 & \text{if } n > 2 + \end{cases} = \mathcal{O}(n^{3})$ + +} + +\end{frame} diff --git a/buch/papers/multiplikation/presentation/tikz/algo.pdf b/buch/papers/multiplikation/presentation/tikz/algo.pdf Binary files differnew file mode 100644 index 0000000..752f42e --- /dev/null +++ b/buch/papers/multiplikation/presentation/tikz/algo.pdf diff --git a/buch/papers/multiplikation/presentation/tikz/algo.tex b/buch/papers/multiplikation/presentation/tikz/algo.tex new file mode 100644 index 0000000..0b2c567 --- /dev/null +++ b/buch/papers/multiplikation/presentation/tikz/algo.tex @@ -0,0 +1,52 @@ +\documentclass[border=10pt]{article} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{cite} +\usepackage{url} +\usepackage{algorithm} +\usepackage[noend]{algpseudocode} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + +\begin{algorithm}[H]\caption{Square Matrix Multiplication} + \setlength{\lineskip}{7pt} + \begin{algorithmic}[1] + \Function{MM}{$\textbf{A}, \textbf{B}, \textbf{C}, n$} + \State $sum \gets 0$ + \For{$i = 0,1,2 \dots,n-1$} + \For{$j = 0,1,2 \dots,n-1$} + \State $sum \gets 0$ + \For{$k = 0,1,2 \dots,n-1$} + \State $sum \gets sum + \textbf{A}[i][k] \cdot \textbf{B}[k][j]$ + \EndFor + \State $\textbf{C}[i][j] \gets sum $ + \EndFor + \EndFor + \EndFunction + \end{algorithmic} +\end{algorithm} +\end{document} diff --git a/buch/papers/multiplikation/problemstellung.tex b/buch/papers/multiplikation/problemstellung.tex new file mode 100755 index 0000000..879b210 --- /dev/null +++ b/buch/papers/multiplikation/problemstellung.tex @@ -0,0 +1,137 @@ +% +% teil1.tex -- Beispiel-File für das Paper +% +% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil +% +\section{Laufzeiten von Algorithmen} +\rhead{Laufzeiten von Algorithmen} +Wegen der breiten Anwendung der Matrizenmultiplikation ist eine effiziente Ausführung dieser Operation von grosser Bedeutung. +Das Ziel dieses Papers ist, verschiedenen Algorithmen der Matrizenmultiplikation vorzustellen. +Gezielt wird auf Algorithmen eingegangen, welche das Problem schneller als der Standardalgorithmus l\"osen. + +\label{muliplikation:sec:bigo} +Die Big $\mathcal{O}$ Notation beschreibt die Laufzeitkomplexit\"at eines Algorithmus in Relation zur Inputgrösse \cite{multiplikation:bigo}. +$f(x) \in \mathcal{O}(g(x))$ besagt, dass die Funktion $f$ nicht wesentlich schneller w\"achst als $g$, wenn $x \rightarrow \infty$. +Dies ist gegeben, falls es für $f \in \mathcal{O}(n^k)$ eine Konstante $C$ gibt, mit $f(n) \leq Cn^k$. +% Es gibt eine Konstante $K$ derart, dass $f(x) \le K g(x)$ für $x\to\infty$. +Vereinfacht werden f\"ur Algorithmen die folgenden Sprechweisen verwendet: +\begin{itemize} + \item $f \in \mathcal{O}(1) \rightarrow f$ ist beschr\"ankt + \item $f \in \mathcal{O}(n) \rightarrow f$ w\"achst linear + \item $f \in \mathcal{O} (n^2 ) \rightarrow f$ w\"achst quadratisch + \item $f \in \mathcal{O}(\log n) \rightarrow f$ w\"achst logarithmisch + \item $f \in \mathcal{O}(n \log n) \rightarrow f$ hat super-lineares Wachstum + \item $f \in \mathcal{O} (e^n ) \rightarrow f$ w\"achst exponentiell + \item usw. +\end{itemize} + +Konstanten werden nicht beachtet, eine Laufzeit von $4n^2$ führt, für $n \rightarrow \infty$ zu $\mathcal{O}(n^2)$. +In der Abbildung \ref{multiplikation:fig:bigo} k\"onnen die verschiedenen Laufzeiten miteinander verglichen werden. +Bei einer doppelt logarithmischen Darstellung werden Polynome der Form $f(x) = x^k$ als Gerade und Exponentialfunktionen der Form $f(x) = a^x$ als nach oben gekr\"ummte Kurven abgebildet. + + + +\subsubsection{Beispielalgorithmen} + +Es folgen einige Beispiele von Algorithmen, welche zu einer bestimmten Zeitkomplexit\"atsklasse zugeteilt werden k\"onnen. + + +\begin{table}[t] + \begin{tabular}{ll} + \begin{minipage}{0.48\textwidth} + \begin{algorithm}[H]\footnotesize\caption{} + \label{multiplikation:alg:b1} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \Function{B1}{$a, b$} + \State \textbf{return} $a+b$ + \EndFunction + \State + \State + \end{algorithmic} + \end{algorithm} + \end{minipage} + & + \begin{minipage}{0.48\textwidth} + \begin{algorithm}[H]\footnotesize\caption{} + \label{multiplikation:alg:b2} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \Function{B2}{$a, b$} + \State $ x \gets a+b $ + \State $ y \gets a \cdot b $ + \State \textbf{return} $x+y$ + \EndFunction + \end{algorithmic} + \end{algorithm} + \end{minipage} \\ + \begin{minipage}{0.48\textwidth} + \begin{algorithm}[H]\footnotesize\caption{} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \label{multiplikation:alg:linear} + \Function{L}{$\mathbf{a}, \mathbf{b}$,n} + \State $ sum \gets 0$ + \For{$i = 0,1,2 \dots,n$} + \State $ sum \gets sum + A[i] \cdot B[i] $ + \EndFor + + \State \textbf{return} $sum$ + + \EndFunction + \State + \State + \end{algorithmic} + \end{algorithm} + \end{minipage} + & + \begin{minipage}{0.48\textwidth} + \begin{algorithm}[H]\footnotesize\caption{} + \label{multiplikation:alg:q1} + \setlength{\lineskip}{7pt} + \begin{algorithmic} + \Function{Q}{$\mathbf{A}, \mathbf{B}$,n} + \State $ sum \gets 0$ + \For{$i = 0,1,2 \dots,n$} + \For{$j = 0,1,2 \dots,n$} + \State $ sum \gets sum + A[i] \cdot B[j] $ + \EndFor + \EndFor + \State \textbf{return} $sum$ + \EndFunction + \end{algorithmic} + \end{algorithm} + \end{minipage} + \end{tabular} +\end{table} + +%\begin{table} +% \begin{tabular}[t]{ll} + +% \end{tabular} +%\end{table} + +\paragraph{Beschr\"ankter Algorithmus} +Algorithmus \ref{multiplikation:alg:b1} ist ein Beispiel mit beschränkter Laufzeit $\mathcal{O}(1)$ +Da $a$ und $b$ Skalare sind, hat keine Gr\"osse $n$ einen Einfluss auf die Laufzeit. + +Wie erwähnt werden Konstanten nicht beachtet, der Algorithmus \ref{multiplikation:alg:b2} f\"uhrt ebenso zu $\mathcal{O}(1)$ und nicht zu $\mathcal{O}(2)$. + + +\paragraph{Linearer Algorithmus} + +Der Algorithmus \ref{multiplikation:alg:linear} hat ein lineares Verhalten. +Die \texttt{for}-Schleife wird $n$-mal durchlaufen und f\"uhrt deshalb zu $\mathcal{O}(n)$. + +\paragraph{Quadratischer Algorithmus} + +Der Algorithmus \ref{multiplikation:alg:q1} hat ein quadratisches Verhalten. +Die beiden \texttt{for}-Schleifen werden jeweils $n$-mal durchlaufen und f\"uhrt deshalb zu $\mathcal{O} (n^2 )$. + + +\begin{figure} + \center + \includegraphics[]{papers/multiplikation/images/bigo} + \caption{Laufzeiten von verschiedensten Zeitkomplexitäten. Bei einer doppelt logarithmischen Darstellung werden Polynome der Form $f(x) = x^k$ als Gerade und Exponentialfunktionen der Form $f(x) = a^x$ als nach oben gekr\"ummte Kurven dargestellt.} + \label{multiplikation:fig:bigo} +\end{figure} diff --git a/buch/papers/multiplikation/references.bib b/buch/papers/multiplikation/references.bib index 7149fb1..8815386 100644..100755 --- a/buch/papers/multiplikation/references.bib +++ b/buch/papers/multiplikation/references.bib @@ -33,3 +33,70 @@ url = {https://doi.org/10.1016/j.acha.2017.11.004} } +@article{multiplikation:winograd_1968, + title={A New Algorithm for Inner Product}, + volume={C-17}, + DOI={10.1109/tc.1968.227420}, + number={7}, + journal={IEEE Transactions on Computers}, + author={Winograd, S.}, + year={1968}, + pages={693–694} +} + +@article{multiplikation:strassen_1969, + title={Gaussian elimination is not optimal}, + volume={13}, + DOI={10.1007/bf02165411}, + number={4}, + journal={Numerische Mathematik}, + author={Strassen, Volker}, + year={1969}, + pages={354–356} +} + +@online{multiplikation:bigo, + title = {Big O notation}, + url = {https://en.wikipedia.org/wiki/Big_O_notation}, + date = {2021-07-27}, + year = {2021}, + month = {7}, + day = {27} +} + +@online{multiplikation:master_theorem, + title = {Master theorem (analysis of algorithms)}, + url = {https://en.wikipedia.org/wiki/Master_theorem_(analysis_of_algorithms)}, + date = {2021-07-28}, + year = {2021}, + month = {7}, + day = {28} +} + + +@online{multiplikation:DAC, + title = {Divide-and-conquer algorithm}, + url = {https://en.wikipedia.org/wiki/Divide-and-conquer_algorithm}, + date = {2021-07-28}, + year = {2021}, + month = {7}, + day = {28} +} + +@online{multiplikation:BLAS, + title = {BLAS (Basic Linear Algebra Subprograms)}, + url = {http://www.netlib.org/blas/}, + date = {2021-08-01}, + year = {2021}, + month = {8}, + day = {01} +} + +@online{multiplikation:DGEMM, + title = {DGEMM}, + url = {http://www.netlib.org/lapack/explore-html/d1/d54/group__double__blas__level3_gaeda3cbd99c8fb834a60a6412878226e1.html#gaeda3cbd99c8fb834a60a6412878226e1}, + date = {2021-08-01}, + year = {2021}, + month = {8}, + day = {01} +} diff --git a/buch/papers/multiplikation/teil0.tex b/buch/papers/multiplikation/teil0.tex deleted file mode 100644 index 082b7f5..0000000 --- a/buch/papers/multiplikation/teil0.tex +++ /dev/null @@ -1,22 +0,0 @@ -% -% einleitung.tex -- Beispiel-File für die Einleitung -% -% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil -% -\section{Teil 0\label{multiplikation:section:teil0}} -\rhead{Teil 0} -Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam -nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam -erat, sed diam voluptua \cite{multiplikation:bibtex}. -At vero eos et accusam et justo duo dolores et ea rebum. -Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum -dolor sit amet. - -Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam -nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam -erat, sed diam voluptua. -At vero eos et accusam et justo duo dolores et ea rebum. Stet clita -kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit -amet. - - diff --git a/buch/papers/multiplikation/teil1.tex b/buch/papers/multiplikation/teil1.tex deleted file mode 100644 index 0a6903a..0000000 --- a/buch/papers/multiplikation/teil1.tex +++ /dev/null @@ -1,55 +0,0 @@ -% -% teil1.tex -- Beispiel-File für das Paper -% -% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil -% -\section{Teil 1 -\label{multiplikation:section:teil1}} -\rhead{Problemstellung} -Sed ut perspiciatis unde omnis iste natus error sit voluptatem -accusantium doloremque laudantium, totam rem aperiam, eaque ipsa -quae ab illo inventore veritatis et quasi architecto beatae vitae -dicta sunt explicabo. -Nemo enim ipsam voluptatem quia voluptas sit aspernatur aut odit -aut fugit, sed quia consequuntur magni dolores eos qui ratione -voluptatem sequi nesciunt -\begin{equation} -\int_a^b x^2\, dx -= -\left[ \frac13 x^3 \right]_a^b -= -\frac{b^3-a^3}3. -\label{multiplikation:equation1} -\end{equation} -Neque porro quisquam est, qui dolorem ipsum quia dolor sit amet, -consectetur, adipisci velit, sed quia non numquam eius modi tempora -incidunt ut labore et dolore magnam aliquam quaerat voluptatem. - -Ut enim ad minima veniam, quis nostrum exercitationem ullam corporis -suscipit laboriosam, nisi ut aliquid ex ea commodi consequatur? -Quis autem vel eum iure reprehenderit qui in ea voluptate velit -esse quam nihil molestiae consequatur, vel illum qui dolorem eum -fugiat quo voluptas nulla pariatur? - -\subsection{De finibus bonorum et malorum -\label{multiplikation:subsection:finibus}} -At vero eos et accusamus et iusto odio dignissimos ducimus qui -blanditiis praesentium voluptatum deleniti atque corrupti quos -dolores et quas molestias excepturi sint occaecati cupiditate non -provident, similique sunt in culpa qui officia deserunt mollitia -animi, id est laborum et dolorum fuga \eqref{000tempmlate:equation1}. - -Et harum quidem rerum facilis est et expedita distinctio -\ref{multiplikation:section:loesung}. -Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil -impedit quo minus id quod maxime placeat facere possimus, omnis -voluptas assumenda est, omnis dolor repellendus -\ref{multiplikation:section:folgerung}. -Temporibus autem quibusdam et aut officiis debitis aut rerum -necessitatibus saepe eveniet ut et voluptates repudiandae sint et -molestiae non recusandae. -Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis -voluptatibus maiores alias consequatur aut perferendis doloribus -asperiores repellat. - - diff --git a/buch/papers/multiplikation/teil2.tex b/buch/papers/multiplikation/teil2.tex deleted file mode 100644 index efbf31a..0000000 --- a/buch/papers/multiplikation/teil2.tex +++ /dev/null @@ -1,40 +0,0 @@ -% -% teil2.tex -- Beispiel-File für teil2 -% -% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil -% -\section{Teil 2 -\label{multiplikation:section:teil2}} -\rhead{Teil 2} -Sed ut perspiciatis unde omnis iste natus error sit voluptatem -accusantium doloremque laudantium, totam rem aperiam, eaque ipsa -quae ab illo inventore veritatis et quasi architecto beatae vitae -dicta sunt explicabo. Nemo enim ipsam voluptatem quia voluptas sit -aspernatur aut odit aut fugit, sed quia consequuntur magni dolores -eos qui ratione voluptatem sequi nesciunt. Neque porro quisquam -est, qui dolorem ipsum quia dolor sit amet, consectetur, adipisci -velit, sed quia non numquam eius modi tempora incidunt ut labore -et dolore magnam aliquam quaerat voluptatem. Ut enim ad minima -veniam, quis nostrum exercitationem ullam corporis suscipit laboriosam, -nisi ut aliquid ex ea commodi consequatur? Quis autem vel eum iure -reprehenderit qui in ea voluptate velit esse quam nihil molestiae -consequatur, vel illum qui dolorem eum fugiat quo voluptas nulla -pariatur? - -\subsection{De finibus bonorum et malorum -\label{multiplikation:subsection:bonorum}} -At vero eos et accusamus et iusto odio dignissimos ducimus qui -blanditiis praesentium voluptatum deleniti atque corrupti quos -dolores et quas molestias excepturi sint occaecati cupiditate non -provident, similique sunt in culpa qui officia deserunt mollitia -animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis -est et expedita distinctio. Nam libero tempore, cum soluta nobis -est eligendi optio cumque nihil impedit quo minus id quod maxime -placeat facere possimus, omnis voluptas assumenda est, omnis dolor -repellendus. Temporibus autem quibusdam et aut officiis debitis aut -rerum necessitatibus saepe eveniet ut et voluptates repudiandae -sint et molestiae non recusandae. Itaque earum rerum hic tenetur a -sapiente delectus, ut aut reiciendis voluptatibus maiores alias -consequatur aut perferendis doloribus asperiores repellat. - - diff --git a/buch/papers/multiplikation/teil3.tex b/buch/papers/multiplikation/teil3.tex deleted file mode 100644 index f58508b..0000000 --- a/buch/papers/multiplikation/teil3.tex +++ /dev/null @@ -1,40 +0,0 @@ -% -% teil3.tex -- Beispiel-File für Teil 3 -% -% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil -% -\section{Teil 3 -\label{multiplikation:section:teil3}} -\rhead{Teil 3} -Sed ut perspiciatis unde omnis iste natus error sit voluptatem -accusantium doloremque laudantium, totam rem aperiam, eaque ipsa -quae ab illo inventore veritatis et quasi architecto beatae vitae -dicta sunt explicabo. Nemo enim ipsam voluptatem quia voluptas sit -aspernatur aut odit aut fugit, sed quia consequuntur magni dolores -eos qui ratione voluptatem sequi nesciunt. Neque porro quisquam -est, qui dolorem ipsum quia dolor sit amet, consectetur, adipisci -velit, sed quia non numquam eius modi tempora incidunt ut labore -et dolore magnam aliquam quaerat voluptatem. Ut enim ad minima -veniam, quis nostrum exercitationem ullam corporis suscipit laboriosam, -nisi ut aliquid ex ea commodi consequatur? Quis autem vel eum iure -reprehenderit qui in ea voluptate velit esse quam nihil molestiae -consequatur, vel illum qui dolorem eum fugiat quo voluptas nulla -pariatur? - -\subsection{De finibus bonorum et malorum -\label{multiplikation:subsection:malorum}} -At vero eos et accusamus et iusto odio dignissimos ducimus qui -blanditiis praesentium voluptatum deleniti atque corrupti quos -dolores et quas molestias excepturi sint occaecati cupiditate non -provident, similique sunt in culpa qui officia deserunt mollitia -animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis -est et expedita distinctio. Nam libero tempore, cum soluta nobis -est eligendi optio cumque nihil impedit quo minus id quod maxime -placeat facere possimus, omnis voluptas assumenda est, omnis dolor -repellendus. Temporibus autem quibusdam et aut officiis debitis aut -rerum necessitatibus saepe eveniet ut et voluptates repudiandae -sint et molestiae non recusandae. Itaque earum rerum hic tenetur a -sapiente delectus, ut aut reiciendis voluptatibus maiores alias -consequatur aut perferendis doloribus asperiores repellat. - - diff --git a/buch/papers/multiplikation/tikz_formulas/algo.fdb_latexmk b/buch/papers/multiplikation/tikz_formulas/algo.fdb_latexmk new file mode 100644 index 0000000..5f14129 --- /dev/null +++ b/buch/papers/multiplikation/tikz_formulas/algo.fdb_latexmk @@ -0,0 +1,254 @@ +# Fdb version 3 +["pdflatex"] 1620305767 "algo.tex" "algo.pdf" "algo" 1621586452 + "/dev/null" 1621583990 0 d41d8cd98f00b204e9800998ecf8427e "" + "/etc/texmf/web2c/texmf.cnf" 1619433543 475 c0e671620eb5563b2130f56340a5fde8 "" + "/usr/share/texlive/texmf-dist/fonts/enc/dvips/base/8r.enc" 1165713224 4850 80dc9bab7f31fb78a000ccfed0e27cab "" + "/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/jknappen/ec/ecrm1000.tfm" 1136768653 3584 adb004a0c8e7c46ee66cad73671f37b4 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm" 1229303445 688 37338d6ab346c2f1466b29e195316aa4 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs5.tfm" 1229303445 684 3a51bd4fd9600428d5264cf25f04bb9a "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs7.tfm" 1229303445 692 1b6510779f0f05e9cbf03e0f6c8361e6 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxb.tfm" 1136768653 1020 c53143d3e3747b5c1149bd9a5ecd7b55 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm" 1136768653 1056 e2202af076e43d03fc17f87e104021b0 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmb.tfm" 1136768653 4572 2c370d27bbb031f7592de9d41dc8cfca "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm" 1136768653 4452 0fd0a792eaab7113e4d4f1b941ff0367 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm" 1136768653 4640 ce59980bcbe9e6236fab46d0b5212c7e "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm" 1136768653 1004 c0e991f864f31f017ea4ff9e451b76d4 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xb.tfm" 1136768653 6892 772bf8e6c154137db8568fa8a47a6ceb "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm" 1136768653 6716 6d25a377562601272906e3bfe6b2817a "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm" 1136768653 1080 b674b4ba143004461509a754a0984b67 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm" 1136768653 688 f56006d6e56f46e63d9f63252958b828 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm" 1136768653 2584 cf4a6a7c2a518d47468fe29ef0913ba0 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm" 1232065820 1944 f854e259cb2839e49d4aa2949544a6e1 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm" 1136768653 1180 72784d0ee5a983fba99a0986b31b0493 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm" 1136768653 2408 aec793a3c45e495f7ad15b227c91f508 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm" 1136768653 1268 1d124f224979493f8fd017a7597ea1cd "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm" 1136768653 972 2c9ffac4bbd20f91c01aaef9bf3f8710 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm" 1136768653 988 098ca7e8cc5647b9ac21b82dbdce1f01 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm" 1136768653 1084 75e807e9e71f7a312e4e1187dce5e93b "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyatip10.tfm" 1381187214 608 50246cc71b0635b0ba0a5c10a0bf4257 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybsql10.tfm" 1381187214 608 4db60f15ea23b4ec2d796c6d568a63fa "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybtip10.tfm" 1381187214 608 50246cc71b0635b0ba0a5c10a0bf4257 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycirc10.tfm" 1381187214 844 3393210079fb4ed9347e214b3bfd7c1a "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmat10.tfm" 1381187214 608 f124f78ed50a1817738d2adb190cf2bd "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmbt10.tfm" 1381187214 608 f124f78ed50a1817738d2adb190cf2bd "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xydash10.tfm" 1381187214 984 5c01c46b93e3ba8369f3f8edc6e62aef "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyluat10.tfm" 1381187214 608 a3a3bc08980c5126ff2a7a68fb5a64ff "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xylubt10.tfm" 1381187214 608 a3a3bc08980c5126ff2a7a68fb5a64ff "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/rtxmi.pfb" 1232065820 13806 49b888f4605a088e66b9eb4fee320a6e "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/rtxr.pfb" 1136849748 6339 e2b78706efdc360ee6aec9b6e20211a7 "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/txex.pfb" 1136849748 17531 c91f2d6943f51d7c46d6b7b9cedd50ba "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/txsy.pfb" 1136849748 20336 69267d8a81bca8b24c9b42694a4a28f9 "" + "/usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmb8a.pfb" 1136849748 44729 811d6c62865936705a31c797a1d5dada "" + "/usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmr8a.pfb" 1136849748 46026 6dab18b61c907687b520c72847215a68 "" + "/usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmri8a.pfb" 1136849748 45458 a3faba884469519614ca56ba5f6b1de1 "" + "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/t1xb.vf" 1136768653 2144 bab2875eda5b2344ea7b1db74ccc03a4 "" + "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/t1xr.vf" 1136768653 2140 99e5b3a34695df6221a167ffa8b498d6 "" + "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txmi.vf" 1232065820 960 cfcc9d587b40b769f64408b3ca115941 "" + "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf" 1136768653 904 e582cae2d8ae3f48a0a520440ebcdb51 "" + "/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii" 1461363279 71627 94eb9990bed73c364d7f53f960cc8c5b "" + "/usr/share/texlive/texmf-dist/tex/generic/atbegshi/atbegshi.sty" 1575674566 24708 5584a51a7101caf7e6bbf1fc27d8f7b1 "" + "/usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty" 1576625341 40635 c40361e206be584d448876bba8a64a3b "" + "/usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty" 1576016050 33961 6b5c75130e435b2bfdb9f480a09a39f9 "" + "/usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty" 1576625273 7734 b98cbb34c81f667027c1e3ebdbfce34b "" + "/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty" 1576625223 8371 9d55b8bd010bc717624922fb3477d92e "" + "/usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty" 1572645307 492 1994775aa15b0d1289725a0b1bbc2d4c "" + "/usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty" 1572645307 480 5778104efadad304ced77548ca2184b1 "" + "/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty" 1573336935 6902 30fdaf7dc5636b8e3afa306210c45cae "" + "/usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty" 1572645307 1057 525c2192b5febbd8c1f662c9468335bb "" + "/usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty" 1575499628 8356 7bbb2c2373aa810be568c29e333da8ed "" + "/usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty" 1576625065 31769 002a487f55041f8e805cfbf6385ffd97 "" + "/usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty" 1576878844 5412 d5a2436094cd7be85769db90f29250a6 "" + "/usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty" 1576624944 13807 952b0226d4efca026f0e19dd266dcc22 "" + "/usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty" 1576624883 18552 1e1cc7b75da0dfaacce7cdcb27d306bf "" + "/usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty" 1576015897 19007 15924f7228aca6c6d184b115f4baa231 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex" 1557692582 992 fb3cda354707a54fda62787a411c7c22 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex" 1546728038 43820 bc6cf5aa959817914ace33f5c6232161 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex" 1557692582 19324 c9a64402f22bd8d81821141a357af653 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex" 1546728038 6038 d639d02574be9a72f3c602c2a3510e02 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex" 1546728038 6948 284bbe3c9a7ca0a826c1c03895e69b9f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex" 1546728038 4883 a6f3eb1f71d8c4affaf43a169828b043 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex" 1546728038 2544 3b1b198fd49f01e328adc9162a07b213 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex" 1576793519 44189 1fd6229dad4c898883516c032f2ca5d2 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex" 1546728038 17311 3092579be20ef0f229c42ad3f09da85c "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex" 1546728038 21302 d6c4b340248adbe650ebf6ca76bdccca "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex" 1562964315 9690 7585efa5a591822837f837bc5bc35621 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex" 1576793519 33335 942ccafe284041918d36e54696b98aa7 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex" 1546728038 2965 502761b60f43ab2de5ecb2f4625163ae "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex" 1546728038 5196 f8c5c775d4d6e2cb050392127cabda72 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex" 1576793519 20726 ed6ec1d6f0f35e7a93de4e79af83dbce "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex" 1557692582 35249 144a6b9c4df4644618bb3a0a40472608 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex" 1546728038 21989 266e83c51fe41eb8b8d5e6896dc71cc1 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex" 1546728038 8842 5cc856e132fac404805c6da091779283 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex" 1546728038 319 8fc6edce901e074ba09de320a8fc686b "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex" 1546728038 3986 c962be8d57437fcaf853d2babd8ed403 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex" 1546728038 4572 980c82f01c0e3983edadbbc373d304cb "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex" 1546728038 3643 4a4bd51bd85886cc39d4073af8cf77a9 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex" 1546728038 4202 e655aa2657da1088ec7745ece2876c4c "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex" 1546728038 3937 20cd45386ca23052ce976464f0ada984 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex" 1546728038 919 da625675781832f2b61a7048a51ef656 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex" 1576793519 11544 2a5d66a3270abf4ef673e8a0b7734a90 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex" 1576967981 187592 7922ceab1864698dec4c84978d5b182f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex" 1546728038 31874 d843d507175f2bdfa3abf01f0349dac8 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex" 1546728038 32995 a4d54c043ae5274ceaaddeb36ad43a6f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex" 1546728038 62281 fd68e6d2c2dc178611c8f4d2d86e79ae "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfint.code.tex" 1557692582 3063 8c415c68a0f3394e45cfeca0b65f6ee6 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex" 1557692582 521 c70cf6ad609de83a27ee7929eb356332 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex" 1557692582 13391 933cab19c6d27039dbfc487330d1005a "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex" 1557692582 104938 15f2d8bdabd6bf9ca70f62cd8e3d4940 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex" 1557692582 10157 218d58ab074e5bd0d027de45ec64cc00 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex" 1576793519 28176 568b081ec39645f2db1a29fbd0c635e2 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex" 1562964315 9054 388d21239a1b6df2cc8beaae31c976b0 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex" 1557692582 3865 cddf7ddc80f018587c55afdcc79fc333 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex" 1557692582 3177 27d85c44fbfe09ff3b2cf2879e3ea434 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex" 1557692582 10925 df50b8a6e5660a585e3a2bf55726dcc8 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex" 1562964315 7787 1750fc3f164703caf31fc8ea9218c67e "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex" 1557692582 3379 cbd0948a550bd7a495a160ca6beee9ed "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex" 1557692582 92405 bba89470858d7b0788a9c09331c39653 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex" 1576793519 36526 453db1f8626a56b5ebb0fad496d6a39f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex" 1576793519 8471 b18959397c76e1e582402ab9f592ed9f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex" 1576793519 21201 46a4dded6619f990ac7347f99fbaac9f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex" 1557692582 16121 9e240115374a8d489f2f786115df83a9 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex" 1576793519 43259 3e05ba63539916af2eaca603c2eda780 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex" 1578520427 465 1f401ab1e7fc6cb7ede39e96c66531fd "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg" 1557692582 926 70ff613fabeb70f5d1673dc0c93987bd "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def" 1557692582 5546 3586827e6032c95512b2a6682d2979a3 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def" 1562964315 12603 c02869ea216d842c29d52fae8738264e "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex" 1557692582 60269 e86bc0081af83a4ad47e4500ee09a2e4 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex" 1557692582 1896 82c274ff520f9e450ccea4e3ef4edc12 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex" 1557692582 7778 a25a32a10ca820357491d4c7b3ac02ea "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex" 1562964315 23777 cb6c8f02f87d86d621f5cb92c44f4998 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex" 1576793519 36815 f7f1772c398f07af2cb741992963045c "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex" 1562964315 37439 bd44d50aef702b03193f731207931834 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex" 1557692582 4494 7e5ace0ccf59408f2cf63219a5d36927 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex" 1557692582 7250 03b2b9fb5fa38e7ca5cc3c45860fb210 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex" 1576793519 28309 488ccc6c701bbdd1bf671f708757aa5c "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def" 1562964315 6286 1bd76fc45da9929ab2a64f51cba3ab6f "" + "/usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty" 1576624663 7008 f92eaa0a3872ed622bbf538217cd2ab7 "" + "/usr/share/texlive/texmf-dist/tex/generic/xkeyval/keyval.tex" 1403829539 2725 fc34ef3ccb37ba15a640e8fca6190bca "" + "/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex" 1417732693 19231 26434a5656c684f5ffb1f26f98006baa "" + "/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex" 1403829539 7677 6f5ce7c1124cad7ec57d05b2562bd8fe "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xy.sty" 1312310545 4692 1e1bcf75c622af1eefd9169948208302 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xy.tex" 1381187214 115380 413d5f789929a45aab7d12ce0d0aee7d "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyall.tex" 1312310545 1449 24340b6befc66d28ee1ebb657efb5892 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyarrow.tex" 1312310545 22657 990ce136a3cc15728ba417a2e78b25c8 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xycmtip.tex" 1312310545 1374 43fb8dc80dd748631d78096701166d76 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xycolor.tex" 1312310545 4586 edd672434f45626662368282c0322160 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xycurve.tex" 1312310545 109670 d412ee1ff259daefee5e927172e2f9a8 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyframe.tex" 1337903317 24249 186931a828664624939ab0b347e3952c "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xygraph.tex" 1312310545 9619 b7e4d9a6936ba2ad6119a280abde9641 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyidioms.tex" 1312310545 2907 1ee562fde0b53c9cd16f7a604f33fdf0 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyline.tex" 1312310545 10928 c3a572983ccc9fc596b4e9ce454d5652 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xymatrix.tex" 1312310545 22583 25b1e7edeee41f181ee9733429da4a9c "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-co.tex" 1312310545 8442 90cb8a3b00c2081384c1ce988d2ba0a3 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-cu.tex" 1312310545 39762 25a964ebb390bcfcd35c040f477eef1d "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-fr.tex" 1312310545 16485 5686b19cc46d046c885428794ed9c114 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-li.tex" 1312310545 2619 1a12b316e2132654e44ba2cd21def637 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-ro.tex" 1312310545 5290 e16fc85c85f64d0a5c04708bf3312d00 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf.tex" 1312310545 18763 e61049d36bdfccb226f22e582d70d368 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyrecat.tex" 1312310545 1391 c8763fc8e281cb6ecf697988b6608e4a "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyrotate.tex" 1312310545 7008 cb768d8d63a12d35607cbb3c4e7ba163 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xytips.tex" 1381187214 3689 0d51788a4141bc66ab896f7ac63495fd "" + "/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty" 1513722769 12604 3dec726c041422879dc3268237f09026 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty" 1359763108 5949 3f3fd50a8cc94c3d4cbf4fc66cd3df1c "" + "/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty" 1359763108 13829 94730e64147574077f8ecfea9bb69af4 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty" 1523134290 2211 ca7ce284ab93c8eecdc6029dc5ccbd73 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amscd.sty" 1523134290 5309 0c9ef5db85b924cdbb316f080dfd826e "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty" 1523134290 4161 7f6eb9092061a11f87d08ed13515b48d "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty" 1580683321 85660 baee036978c7a91f4e2bba43f05e5945 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty" 1523134290 4116 32e6abd27229755a83a8b7f18e583890 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty" 1523134290 2432 8ff93b1137020e8f21930562a874ae66 "" + "/usr/share/texlive/texmf-dist/tex/latex/aobs-tikz/tikzlibraryoverlay-beamer-styles.code.tex" 1389658833 4047 82a015585c1ef210fb6750d6322afa7f "" + "/usr/share/texlive/texmf-dist/tex/latex/atveryend/atveryend.sty" 1576191570 19336 ce7ae9438967282886b3b036cfad1e4d "" + "/usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty" 1576625391 3935 57aa3c3e203a5c2effb4d2bd2efbc323 "" + "/usr/share/texlive/texmf-dist/tex/latex/base/article.cls" 1580683321 20023 e427dd9e17e239bf926ef3aab67fe35e "" + "/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty" 1581632200 4947 0c2888dd88121ae675fc6e82213623ba "" + "/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty" 1580683321 5159 892429808d9e0e2b3548aaefd9a06ed0 "" + "/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty" 1580683321 5050 8933a39ad74377accd18991c5eb90c58 "" + "/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo" 1580683321 8446 9874cccac5fee462272c582807dbbf56 "" + "/usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty" 1581112666 2821 2c0928feafd5527387e29a1af774d030 "" + "/usr/share/texlive/texmf-dist/tex/latex/carlisle/slashed.sty" 1137109962 5327 8b3c95b5f71136add36a4a0bb1507594 "" + "/usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty" 1425427964 26218 19edeff8cdc2bcb704e8051dc55eb5a7 "" + "/usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty" 1579991033 13886 d1306dcf79a944f6988e688c1785f9ce "" + "/usr/share/texlive/texmf-dist/tex/latex/eso-pic/eso-pic.sty" 1526160256 11991 c1669f88e13f8bb6243df144e456b477 "" + "/usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty" 1548974385 11128 a53805799bebfed6358fc1658a18e41f "" + "/usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty" 1578002852 41601 9cf6c5257b1bc7af01a58859749dd37a "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg" 1459978653 1213 620bba36b25224fa9b7e1ccb4ecb76fd "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg" 1465944070 1224 978390e9c2234eab29404bc21b268d1e "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def" 1515537368 17334 520b9b85ad8a2a48eda3f643e27a5179 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty" 1580683321 16932 04729abe63b66ec59ea56edcd722b058 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty" 1580683321 9067 1b996612394a52e1efe89c8bfe8a5892 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/lscape.sty" 1580683321 1753 f80abc75c0e3a4915097779c2649cc98 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty" 1580683321 3976 d7fa7d81d2870d509d25b17d0245e735 "" + "/usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty" 1580250785 17914 4c28a13fc3d975e6e81c9bea1d697276 "" + "/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def" 1579642962 50630 3d9728faf8630190cf601ce2cbe470d9 "" + "/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty" 1579642962 238752 60dd338d71b6a4ab2192131f73dc908b "" + "/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty" 1579642962 13244 0070bcab7b5a88187847128d22faf4d8 "" + "/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def" 1579642962 14134 32b36577d311ddb6522413c7581ee968 "" + "/usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty" 1137110241 300 12fa6f636b617656f2810ee82cb05015 "" + "/usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd" 1137110241 548 cc4e3557704bfed27c7002773fad6c90 "" + "/usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty" 1575152344 22520 c4c2dab203104295e1e618be7e5c0f5b "" + "/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def" 1580854751 25404 9d60f463a00d154207ec0048dee27cf0 "" + "/usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty" 1581719662 4381 04628f3002bdd1d9c43ef984fd60ae18 "" + "/usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty" 1581719662 81717 e93576ac4b24ce6e121ebd6ec6cf2893 "" + "/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg" 1279039959 678 4792914a8f45be57bb98413425e4c7af "" + "/usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty" 1575499565 5766 13a9e8766c47f30327caf893ece86ac8 "" + "/usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.ltd.tex" 1546728170 98047 c6fa29828cc60471827afe275c8bd77f "" + "/usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.sty" 1546638616 18060 8cf65af2c4529eed91b5d364b50d3ada "" + "/usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg" 1568236792 1830 bbaba8afaf42cc048ec4d4ff73467521 "" + "/usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty" 1568236792 80511 830f3f1d3ab7448dd84233e9c2f6462c "" + "/usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty" 1568236792 77022 32914f01b528131c47be2a1040d3856d "" + "/usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/pgflibrarymatrix.skeleton.code.tex" 1565039202 19612 007f8469df07e9ef0f680e346cc01945 "" + "/usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/tikzlibrarymatrix.skeleton.code.tex" 1565039202 7267 4d597b08b2429acaa1e526052d9509ed "" + "/usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty" 1177890616 3878 6aa7c08ff2621006e0603349e40a30a8 "" + "/usr/share/texlive/texmf-dist/tex/latex/multirow/multirow.sty" 1559339157 5486 a1d954b09782ba0acd8a8abfd98e1028 "" + "/usr/share/texlive/texmf-dist/tex/latex/paralist/paralist.sty" 1485124581 14857 82c76ebe8f06becf69ab309565b2a0cb "" + "/usr/share/texlive/texmf-dist/tex/latex/pdflscape/pdflscape.sty" 1575674318 6575 25396d208d8f2b9395d06ef315d5886c "" + "/usr/share/texlive/texmf-dist/tex/latex/pdfpages/pdfpages.sty" 1580249532 54071 88f1e37dc9e1f95352061a066ed07263 "" + "/usr/share/texlive/texmf-dist/tex/latex/pdfpages/pppdftex.def" 1580249532 6418 197ed301e61ce5b7f446e70345a43a62 "" + "/usr/share/texlive/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty" 1574631863 19963 36fd8e818f9f0f32e2db8413d4970122 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty" 1546728038 1090 d20f587ea9464d1841bd0d13d3ff9856 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty" 1288312291 410 5bf12ea7330e5f12c445332a4fe9a263 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty" 1546728038 21013 e98e1aaaf40d31632787c2bd25d24b57 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty" 1546728038 989 2cf3da8e8ec55131c49389428d565e37 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty" 1203877327 339 592cf35cba3d400082b8a9a5d0199d70 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty" 1393459310 306 0796eafca5e159e6ec2167a6d22d81b1 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty" 1393459310 443 0b2e781830192df35c0fd357cf13e26e "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty" 1393459310 348 8927fde343487e003b01a4c2ca34073b "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty" 1203727794 274 4cad6e665cc93ac2ac979039a94fa1e1 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty" 1203877327 325 2bcd023400636339210573e2b3ee298b "" + "/usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty" 1156702453 857 6c716f26c5eadfb81029fcd6ce2d45e6 "" + "/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty" 1576624809 9878 9e94e8fa600d95f9c7731bb21dfb67a4 "" + "/usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty" 1575674187 9715 b051d5b493d9fe5f4bc251462d039e5f "" + "/usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cfg" 1522098998 1015 662b4d7ad816b857a598284525f5c75e "" + "/usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cls" 1522098998 28890 df75e6d37f47b7e27bff3f37375336b3 "" + "/usr/share/texlive/texmf-dist/tex/latex/tools/array.sty" 1580683321 12560 ce3f59ceae9d9a27bfe037d6bf1d903c "" + "/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty" 1580683321 10216 5efd55f2010055e7b7875afd6a75be82 "" + "/usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty" 1580683321 4120 d1680a5ff60d0aea9c327e07c030f4e9 "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/omltxmi.fd" 1137111002 492 e7f8afe4428797548d4301de03a1b15f "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/omstxsy.fd" 1137111002 329 6ac7e19535b9f1d64e4d8e3f77dc30a3 "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/omxtxex.fd" 1137111002 312 11fe1916b0a13a81a05234a6fc7f8738 "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txr.fd" 1137111002 1271 4e3afbd8e832f2f9c7f064894e6e68e4 "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/t1txr.fd" 1137111002 1242 cbf8a0d4f750f9833a0bfb05fb39f1cb "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/txfonts.sty" 1206746551 50381 d367461010070c7a491b1f6979ab2062 "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxexa.fd" 1137111002 310 1b00b0b05685b816e4c6caccce437e0d "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxmia.fd" 1137111002 334 87436a82076ca2e35cd305f852507afc "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsya.fd" 1137111002 310 cee07e4964749ccbc77d84fc49726a79 "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyb.fd" 1137111002 310 8c5467c8932c259af51b0f116c9734bd "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyc.fd" 1137111002 310 4b5d6fe830337242ef847b3bff48ba21 "" + "/usr/share/texlive/texmf-dist/tex/latex/url/url.sty" 1388531844 12796 8edb7d69a20b857904dd0ea757c14ec9 "" + "/usr/share/texlive/texmf-dist/tex/latex/varwidth/varwidth.sty" 1238697683 10894 d359a13923460b2a73d4312d613554c8 "" + "/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty" 1463002160 55589 34128738f682d033422ca125f82e5d62 "" + "/usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty" 1417732693 4962 9c1069474ff71dbc47d5006555e352d3 "" + "/usr/share/texlive/texmf-dist/web2c/texmf.cnf" 1581979058 38841 ce3692aa899bb693b90b87eaa5d4d84e "" + "/usr/share/texmf/web2c/texmf.cnf" 1581979058 38841 ce3692aa899bb693b90b87eaa5d4d84e "" + "/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1619433582 4770781 1ed1abab22da9c3e2cc82e4db562318b "" + "/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1619433611 8255863 afe1ed795207f6401d11bafd6327aa55 "" + "algo.aux" 1620305767 767 9191aef204e325cc808d7c85cedac35f "pdflatex" + "algo.out" 1620305767 43 8eacde2f35419fc00651f55d16e47ae8 "pdflatex" + "algo.tex" 1621585209 3156 4070ef1cd3442b3ab588aedcc8a306bd "" + (generated) + "algo.aux" + "algo.log" + "algo.pdf" + "algo.out" diff --git a/buch/papers/multiplikation/tikz_formulas/algo.fls b/buch/papers/multiplikation/tikz_formulas/algo.fls new file mode 100644 index 0000000..16d387b --- /dev/null +++ b/buch/papers/multiplikation/tikz_formulas/algo.fls @@ -0,0 +1,438 @@ +PWD /home/nunigan/Documents/MSE/FS21/SeminarMatrizen/buch/papers/multiplikation/tikz_formulas +INPUT /etc/texmf/web2c/texmf.cnf +INPUT /usr/share/texmf/web2c/texmf.cnf +INPUT /usr/share/texlive/texmf-dist/web2c/texmf.cnf +INPUT /var/lib/texmf/web2c/pdftex/pdflatex.fmt +INPUT algo.tex +OUTPUT algo.log +INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xkeyval/keyval.tex +INPUT /dev/null +INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/size10.clo +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/size10.clo +INPUT /usr/share/texlive/texmf-dist/tex/latex/varwidth/varwidth.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/varwidth/varwidth.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty +INPUT /usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/jknappen/ec/ecrm1000.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.ltd.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.ltd.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amscd.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amscd.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/txfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/txfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xy.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xy.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xy.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyrecat.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyidioms.tex +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xydash10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyatip10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybtip10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybsql10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycirc10.tfm +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyall.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyall.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycurve.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycurve.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyframe.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyframe.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycmtip.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycmtip.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xytips.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xytips.tex +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmat10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmbt10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyluat10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xylubt10.tfm +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyline.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyline.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyrotate.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyrotate.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycolor.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycolor.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xymatrix.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xymatrix.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyarrow.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyarrow.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xygraph.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xygraph.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-co.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-cu.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-fr.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-li.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-ro.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/paralist/paralist.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/paralist/paralist.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def +INPUT /usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/url/url.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/url/url.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/atbegshi/atbegshi.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/atbegshi/atbegshi.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/atveryend/atveryend.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/atveryend/atveryend.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/array.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/array.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfint.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/carlisle/slashed.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/carlisle/slashed.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pdfpages.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pdfpages.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/eso-pic/eso-pic.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/eso-pic/eso-pic.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pppdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pppdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/aobs-tikz/tikzlibraryoverlay-beamer-styles.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/aobs-tikz/tikzlibraryoverlay-beamer-styles.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/tikzlibrarymatrix.skeleton.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/tikzlibrarymatrix.skeleton.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/pgflibrarymatrix.skeleton.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/pgflibrarymatrix.skeleton.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/multirow/multirow.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/multirow/multirow.sty +INPUT algo.aux +INPUT algo.aux +OUTPUT algo.aux +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omltxmi.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omltxmi.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omstxsy.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omstxsy.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omxtxex.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omxtxex.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxexa.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxexa.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/t1txr.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/t1txr.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm +INPUT /usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +INPUT /usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txr.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txr.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsya.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsya.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyb.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyb.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs7.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs5.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxmia.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxmia.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyc.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyc.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty +INPUT algo.out +INPUT algo.out +INPUT algo.out +INPUT algo.out +OUTPUT algo.pdf +INPUT ./algo.out +INPUT ./algo.out +OUTPUT algo.out +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdflscape/pdflscape.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdflscape/pdflscape.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/lscape.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/lscape.sty +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xb.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txmi.vf +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm +INPUT /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map +INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/t1xr.vf +INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/t1xb.vf +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmb.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxb.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txmi.vf +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm +INPUT algo.aux +INPUT ./algo.out +INPUT ./algo.out +INPUT /usr/share/texlive/texmf-dist/fonts/enc/dvips/base/8r.enc +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/rtxmi.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/rtxr.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/txex.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/txsy.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmb8a.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmr8a.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmri8a.pfb diff --git a/buch/papers/multiplikation/tikz_formulas/algo.pdf b/buch/papers/multiplikation/tikz_formulas/algo.pdf Binary files differnew file mode 100644 index 0000000..f711224 --- /dev/null +++ b/buch/papers/multiplikation/tikz_formulas/algo.pdf diff --git a/buch/papers/multiplikation/tikz_formulas/algo.tex b/buch/papers/multiplikation/tikz_formulas/algo.tex new file mode 100755 index 0000000..1e437c2 --- /dev/null +++ b/buch/papers/multiplikation/tikz_formulas/algo.tex @@ -0,0 +1,131 @@ +\documentclass[border=10pt,varwidth]{standalone} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usetikzlibrary{automata,positioning} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + +$ +A= +\begin{bmatrix} +A_{11} & A_{12}\\ +A_{21} & A_{22} +\end{bmatrix}, +B= +\begin{bmatrix} +B_{11} & B_{12}\\ +B_{21} & B_{22} +\end{bmatrix}, +C= +\begin{bmatrix} +C_{11} & C_{12}\\ +C_{21} & C_{22} +\end{bmatrix} +$ + +\medskip +$ +A \cdot B = C +$ + +\medskip +$ +C_{11} = A_{11} \cdot B_{11} + A_{12} \cdot B_{21}\\ +C_{12} = A_{11} \cdot B_{12} + A_{12} \cdot B_{22}\\ +C_{21} = A_{21} \cdot B_{11} + A_{22} \cdot B_{21}\\ +C_{22} = A_{21} \cdot B_{12} + A_{22} \cdot B_{22} +$ + +\medskip +\begin{math} +\begin{aligned} +\text{I} &= (A_{11} + A_{22}) \cdot (B_{11} + B_{22}) \\ +\text{II} &= (A_{21} + A_{22}) \cdot B_{11} \\ +\text{III} &= A_{11} \cdot (B_{12}-B_{22}) \\ +\text{IV} &= A_{22} \cdot (-B_{11}+B_{21}) \\ +\text{V} &= (A_{11} + A_{12}) \cdot B_{22} \\ +\text{VI} &= (-A_{11} + A_{21}) \cdot (B_{11} + B_{12})) \\ +\text{VII} &= (A_{12} - A_{22}) \cdot (B_{21} + B_{22}) \\ +\end{aligned} +\end{math} + + +\medskip +\begin{math} +\begin{aligned} +C_{11} &= \text{I} + \text{IV} - \text{V} + \text{VII} \\ +C_{21} &= \text{II} + \text{IV} \\ +C_{12} &= \text{III} + \text{V}\\ +C_{22} &= \text{I} + \text{III} - \text{II} + \text{VI} \\ +\end{aligned} +\end{math} + + +\medskip +\begin{math} +\begin{aligned} +C_{11} &= \text{II} + \text{IV} \\ +C_{11} &= (A_{11} + A_{22}) \cdot (B_{11} + B_{22}) + A_{22} \cdot (-B_{11}+B_{21}) - (A_{11} + A_{12}) \cdot B_{22} + (A_{12} - A_{22}) \cdot (B_{21} + B_{22})C_{21} \\ +C_{11} &= A_{11}B_{11} + A_{11}B_{22} + A_{22}B_{11} + A_{22}B_{22} -A_{22}B_{11}+A_{22}B_{21} - A_{11}B_{22} - A_{12}B_{22}+ A_{12}B_{21} + A_{12}B_{22} - A_{22}B_{21} - A_{22}B_{22} \\ +C_{11} &= A_{11}B_{11} + A_{12}B_{21} +\end{aligned} +\end{math} + +\section{Winograd} + +$ +x_1 y_1 + x_2 y_2 = (x_1 +y_2)(y_1 + x_2)-x_1 x_2 - y_1 y_2 +$ + +$ +x = (x_1, \cdots, x_n), y=(y_1, \cdots, y_n) +$ + +\[ +\xi = \sum_{j=1}^{ \lfloor n/2 \rfloor} x_{2j-1} \cdot x_{2j} +\] + +\[ +\eta = \sum_{j=1}^{ \lfloor n/2 \rfloor} y_{2j-1} \cdot y_{2j} +\] + +\[ +\langle x,y \rangle = +\begin{cases} + \displaystyle \sum_{j=1}^{ \lfloor n/2 \rfloor} (x_{2j-1} + y_{2j})(x_{2j}+y_{2j-1})-\xi - \eta & \text{if $n$ is even}\\ +\displaystyle \sum_{j=1}^{ \lfloor n/2 \rfloor} (x_{2j-1} + y_{2j})(x_{2j}+y_{2j-1})-\xi - \eta + x_n y_n & \text{if $n$ is odd} +\end{cases} +\] + +\end{document} diff --git a/buch/papers/multiplikation/tikz_formulas/algo_graph.fdb_latexmk b/buch/papers/multiplikation/tikz_formulas/algo_graph.fdb_latexmk new file mode 100644 index 0000000..ddfa880 --- /dev/null +++ b/buch/papers/multiplikation/tikz_formulas/algo_graph.fdb_latexmk @@ -0,0 +1,245 @@ +# Fdb version 3 +["pdflatex"] 1621585121 "algo_graph.tex" "algo_graph.pdf" "algo_graph" 1621585184 + "/dev/null" 1621583990 0 d41d8cd98f00b204e9800998ecf8427e "" + "/etc/texmf/web2c/texmf.cnf" 1619433543 475 c0e671620eb5563b2130f56340a5fde8 "" + "/usr/share/texlive/texmf-dist/fonts/enc/dvips/base/8r.enc" 1165713224 4850 80dc9bab7f31fb78a000ccfed0e27cab "" + "/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/jknappen/ec/ecrm1000.tfm" 1136768653 3584 adb004a0c8e7c46ee66cad73671f37b4 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm" 1229303445 688 37338d6ab346c2f1466b29e195316aa4 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs5.tfm" 1229303445 684 3a51bd4fd9600428d5264cf25f04bb9a "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs7.tfm" 1229303445 692 1b6510779f0f05e9cbf03e0f6c8361e6 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm" 1136768653 1056 e2202af076e43d03fc17f87e104021b0 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm" 1136768653 4452 0fd0a792eaab7113e4d4f1b941ff0367 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm" 1136768653 4640 ce59980bcbe9e6236fab46d0b5212c7e "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm" 1136768653 1004 c0e991f864f31f017ea4ff9e451b76d4 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm" 1136768653 6716 6d25a377562601272906e3bfe6b2817a "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm" 1136768653 1080 b674b4ba143004461509a754a0984b67 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm" 1136768653 688 f56006d6e56f46e63d9f63252958b828 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm" 1136768653 2584 cf4a6a7c2a518d47468fe29ef0913ba0 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm" 1232065820 1944 f854e259cb2839e49d4aa2949544a6e1 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm" 1136768653 1180 72784d0ee5a983fba99a0986b31b0493 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm" 1136768653 2408 aec793a3c45e495f7ad15b227c91f508 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm" 1136768653 1268 1d124f224979493f8fd017a7597ea1cd "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm" 1136768653 972 2c9ffac4bbd20f91c01aaef9bf3f8710 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm" 1136768653 988 098ca7e8cc5647b9ac21b82dbdce1f01 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm" 1136768653 1084 75e807e9e71f7a312e4e1187dce5e93b "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyatip10.tfm" 1381187214 608 50246cc71b0635b0ba0a5c10a0bf4257 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybsql10.tfm" 1381187214 608 4db60f15ea23b4ec2d796c6d568a63fa "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybtip10.tfm" 1381187214 608 50246cc71b0635b0ba0a5c10a0bf4257 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycirc10.tfm" 1381187214 844 3393210079fb4ed9347e214b3bfd7c1a "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmat10.tfm" 1381187214 608 f124f78ed50a1817738d2adb190cf2bd "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmbt10.tfm" 1381187214 608 f124f78ed50a1817738d2adb190cf2bd "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xydash10.tfm" 1381187214 984 5c01c46b93e3ba8369f3f8edc6e62aef "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyluat10.tfm" 1381187214 608 a3a3bc08980c5126ff2a7a68fb5a64ff "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xylubt10.tfm" 1381187214 608 a3a3bc08980c5126ff2a7a68fb5a64ff "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/rtxr.pfb" 1136849748 6339 e2b78706efdc360ee6aec9b6e20211a7 "" + "/usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmr8a.pfb" 1136849748 46026 6dab18b61c907687b520c72847215a68 "" + "/usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmri8a.pfb" 1136849748 45458 a3faba884469519614ca56ba5f6b1de1 "" + "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/t1xr.vf" 1136768653 2140 99e5b3a34695df6221a167ffa8b498d6 "" + "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txmi.vf" 1232065820 960 cfcc9d587b40b769f64408b3ca115941 "" + "/usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf" 1136768653 904 e582cae2d8ae3f48a0a520440ebcdb51 "" + "/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii" 1461363279 71627 94eb9990bed73c364d7f53f960cc8c5b "" + "/usr/share/texlive/texmf-dist/tex/generic/atbegshi/atbegshi.sty" 1575674566 24708 5584a51a7101caf7e6bbf1fc27d8f7b1 "" + "/usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty" 1576625341 40635 c40361e206be584d448876bba8a64a3b "" + "/usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty" 1576016050 33961 6b5c75130e435b2bfdb9f480a09a39f9 "" + "/usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty" 1576625273 7734 b98cbb34c81f667027c1e3ebdbfce34b "" + "/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty" 1576625223 8371 9d55b8bd010bc717624922fb3477d92e "" + "/usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty" 1572645307 492 1994775aa15b0d1289725a0b1bbc2d4c "" + "/usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty" 1572645307 480 5778104efadad304ced77548ca2184b1 "" + "/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty" 1573336935 6902 30fdaf7dc5636b8e3afa306210c45cae "" + "/usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty" 1572645307 1057 525c2192b5febbd8c1f662c9468335bb "" + "/usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty" 1575499628 8356 7bbb2c2373aa810be568c29e333da8ed "" + "/usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty" 1576625065 31769 002a487f55041f8e805cfbf6385ffd97 "" + "/usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty" 1576878844 5412 d5a2436094cd7be85769db90f29250a6 "" + "/usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty" 1576624944 13807 952b0226d4efca026f0e19dd266dcc22 "" + "/usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty" 1576624883 18552 1e1cc7b75da0dfaacce7cdcb27d306bf "" + "/usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty" 1576015897 19007 15924f7228aca6c6d184b115f4baa231 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex" 1557692582 992 fb3cda354707a54fda62787a411c7c22 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex" 1546728038 43820 bc6cf5aa959817914ace33f5c6232161 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex" 1557692582 19324 c9a64402f22bd8d81821141a357af653 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex" 1546728038 6038 d639d02574be9a72f3c602c2a3510e02 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex" 1546728038 6948 284bbe3c9a7ca0a826c1c03895e69b9f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex" 1546728038 4883 a6f3eb1f71d8c4affaf43a169828b043 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex" 1546728038 2544 3b1b198fd49f01e328adc9162a07b213 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex" 1576793519 44189 1fd6229dad4c898883516c032f2ca5d2 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex" 1546728038 17311 3092579be20ef0f229c42ad3f09da85c "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex" 1546728038 21302 d6c4b340248adbe650ebf6ca76bdccca "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex" 1562964315 9690 7585efa5a591822837f837bc5bc35621 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex" 1576793519 33335 942ccafe284041918d36e54696b98aa7 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex" 1546728038 2965 502761b60f43ab2de5ecb2f4625163ae "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex" 1546728038 5196 f8c5c775d4d6e2cb050392127cabda72 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex" 1576793519 20726 ed6ec1d6f0f35e7a93de4e79af83dbce "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex" 1557692582 35249 144a6b9c4df4644618bb3a0a40472608 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex" 1546728038 21989 266e83c51fe41eb8b8d5e6896dc71cc1 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex" 1546728038 8842 5cc856e132fac404805c6da091779283 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex" 1546728038 319 8fc6edce901e074ba09de320a8fc686b "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex" 1546728038 3986 c962be8d57437fcaf853d2babd8ed403 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex" 1546728038 4572 980c82f01c0e3983edadbbc373d304cb "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex" 1546728038 3643 4a4bd51bd85886cc39d4073af8cf77a9 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex" 1546728038 4202 e655aa2657da1088ec7745ece2876c4c "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex" 1546728038 3937 20cd45386ca23052ce976464f0ada984 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex" 1546728038 919 da625675781832f2b61a7048a51ef656 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex" 1576793519 11544 2a5d66a3270abf4ef673e8a0b7734a90 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex" 1576967981 187592 7922ceab1864698dec4c84978d5b182f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex" 1546728038 31874 d843d507175f2bdfa3abf01f0349dac8 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex" 1546728038 32995 a4d54c043ae5274ceaaddeb36ad43a6f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex" 1546728038 62281 fd68e6d2c2dc178611c8f4d2d86e79ae "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfint.code.tex" 1557692582 3063 8c415c68a0f3394e45cfeca0b65f6ee6 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex" 1557692582 521 c70cf6ad609de83a27ee7929eb356332 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex" 1557692582 13391 933cab19c6d27039dbfc487330d1005a "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex" 1557692582 104938 15f2d8bdabd6bf9ca70f62cd8e3d4940 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex" 1557692582 10157 218d58ab074e5bd0d027de45ec64cc00 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex" 1576793519 28176 568b081ec39645f2db1a29fbd0c635e2 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex" 1562964315 9054 388d21239a1b6df2cc8beaae31c976b0 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex" 1557692582 3865 cddf7ddc80f018587c55afdcc79fc333 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex" 1557692582 3177 27d85c44fbfe09ff3b2cf2879e3ea434 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex" 1557692582 10925 df50b8a6e5660a585e3a2bf55726dcc8 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex" 1562964315 7787 1750fc3f164703caf31fc8ea9218c67e "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex" 1557692582 3379 cbd0948a550bd7a495a160ca6beee9ed "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex" 1557692582 92405 bba89470858d7b0788a9c09331c39653 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex" 1576793519 36526 453db1f8626a56b5ebb0fad496d6a39f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex" 1576793519 8471 b18959397c76e1e582402ab9f592ed9f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex" 1576793519 21201 46a4dded6619f990ac7347f99fbaac9f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex" 1557692582 16121 9e240115374a8d489f2f786115df83a9 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex" 1576793519 43259 3e05ba63539916af2eaca603c2eda780 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex" 1578520427 465 1f401ab1e7fc6cb7ede39e96c66531fd "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg" 1557692582 926 70ff613fabeb70f5d1673dc0c93987bd "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def" 1557692582 5546 3586827e6032c95512b2a6682d2979a3 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def" 1562964315 12603 c02869ea216d842c29d52fae8738264e "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex" 1557692582 60269 e86bc0081af83a4ad47e4500ee09a2e4 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex" 1557692582 1896 82c274ff520f9e450ccea4e3ef4edc12 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex" 1557692582 7778 a25a32a10ca820357491d4c7b3ac02ea "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex" 1562964315 23777 cb6c8f02f87d86d621f5cb92c44f4998 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex" 1576793519 36815 f7f1772c398f07af2cb741992963045c "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex" 1562964315 37439 bd44d50aef702b03193f731207931834 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex" 1557692582 4494 7e5ace0ccf59408f2cf63219a5d36927 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex" 1557692582 7250 03b2b9fb5fa38e7ca5cc3c45860fb210 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex" 1576793519 28309 488ccc6c701bbdd1bf671f708757aa5c "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def" 1562964315 6286 1bd76fc45da9929ab2a64f51cba3ab6f "" + "/usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty" 1576624663 7008 f92eaa0a3872ed622bbf538217cd2ab7 "" + "/usr/share/texlive/texmf-dist/tex/generic/xkeyval/keyval.tex" 1403829539 2725 fc34ef3ccb37ba15a640e8fca6190bca "" + "/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex" 1417732693 19231 26434a5656c684f5ffb1f26f98006baa "" + "/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex" 1403829539 7677 6f5ce7c1124cad7ec57d05b2562bd8fe "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xy.sty" 1312310545 4692 1e1bcf75c622af1eefd9169948208302 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xy.tex" 1381187214 115380 413d5f789929a45aab7d12ce0d0aee7d "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyall.tex" 1312310545 1449 24340b6befc66d28ee1ebb657efb5892 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyarrow.tex" 1312310545 22657 990ce136a3cc15728ba417a2e78b25c8 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xycmtip.tex" 1312310545 1374 43fb8dc80dd748631d78096701166d76 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xycolor.tex" 1312310545 4586 edd672434f45626662368282c0322160 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xycurve.tex" 1312310545 109670 d412ee1ff259daefee5e927172e2f9a8 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyframe.tex" 1337903317 24249 186931a828664624939ab0b347e3952c "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xygraph.tex" 1312310545 9619 b7e4d9a6936ba2ad6119a280abde9641 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyidioms.tex" 1312310545 2907 1ee562fde0b53c9cd16f7a604f33fdf0 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyline.tex" 1312310545 10928 c3a572983ccc9fc596b4e9ce454d5652 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xymatrix.tex" 1312310545 22583 25b1e7edeee41f181ee9733429da4a9c "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-co.tex" 1312310545 8442 90cb8a3b00c2081384c1ce988d2ba0a3 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-cu.tex" 1312310545 39762 25a964ebb390bcfcd35c040f477eef1d "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-fr.tex" 1312310545 16485 5686b19cc46d046c885428794ed9c114 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-li.tex" 1312310545 2619 1a12b316e2132654e44ba2cd21def637 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-ro.tex" 1312310545 5290 e16fc85c85f64d0a5c04708bf3312d00 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf.tex" 1312310545 18763 e61049d36bdfccb226f22e582d70d368 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyrecat.tex" 1312310545 1391 c8763fc8e281cb6ecf697988b6608e4a "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xyrotate.tex" 1312310545 7008 cb768d8d63a12d35607cbb3c4e7ba163 "" + "/usr/share/texlive/texmf-dist/tex/generic/xypic/xytips.tex" 1381187214 3689 0d51788a4141bc66ab896f7ac63495fd "" + "/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty" 1513722769 12604 3dec726c041422879dc3268237f09026 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty" 1359763108 5949 3f3fd50a8cc94c3d4cbf4fc66cd3df1c "" + "/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty" 1359763108 13829 94730e64147574077f8ecfea9bb69af4 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty" 1523134290 2211 ca7ce284ab93c8eecdc6029dc5ccbd73 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amscd.sty" 1523134290 5309 0c9ef5db85b924cdbb316f080dfd826e "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty" 1523134290 4161 7f6eb9092061a11f87d08ed13515b48d "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty" 1580683321 85660 baee036978c7a91f4e2bba43f05e5945 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty" 1523134290 4116 32e6abd27229755a83a8b7f18e583890 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty" 1523134290 2432 8ff93b1137020e8f21930562a874ae66 "" + "/usr/share/texlive/texmf-dist/tex/latex/aobs-tikz/tikzlibraryoverlay-beamer-styles.code.tex" 1389658833 4047 82a015585c1ef210fb6750d6322afa7f "" + "/usr/share/texlive/texmf-dist/tex/latex/atveryend/atveryend.sty" 1576191570 19336 ce7ae9438967282886b3b036cfad1e4d "" + "/usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty" 1576625391 3935 57aa3c3e203a5c2effb4d2bd2efbc323 "" + "/usr/share/texlive/texmf-dist/tex/latex/base/article.cls" 1580683321 20023 e427dd9e17e239bf926ef3aab67fe35e "" + "/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty" 1581632200 4947 0c2888dd88121ae675fc6e82213623ba "" + "/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty" 1580683321 5159 892429808d9e0e2b3548aaefd9a06ed0 "" + "/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty" 1580683321 5050 8933a39ad74377accd18991c5eb90c58 "" + "/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo" 1580683321 8446 9874cccac5fee462272c582807dbbf56 "" + "/usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty" 1581112666 2821 2c0928feafd5527387e29a1af774d030 "" + "/usr/share/texlive/texmf-dist/tex/latex/carlisle/slashed.sty" 1137109962 5327 8b3c95b5f71136add36a4a0bb1507594 "" + "/usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty" 1425427964 26218 19edeff8cdc2bcb704e8051dc55eb5a7 "" + "/usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty" 1579991033 13886 d1306dcf79a944f6988e688c1785f9ce "" + "/usr/share/texlive/texmf-dist/tex/latex/eso-pic/eso-pic.sty" 1526160256 11991 c1669f88e13f8bb6243df144e456b477 "" + "/usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty" 1548974385 11128 a53805799bebfed6358fc1658a18e41f "" + "/usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty" 1578002852 41601 9cf6c5257b1bc7af01a58859749dd37a "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg" 1459978653 1213 620bba36b25224fa9b7e1ccb4ecb76fd "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg" 1465944070 1224 978390e9c2234eab29404bc21b268d1e "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def" 1515537368 17334 520b9b85ad8a2a48eda3f643e27a5179 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty" 1580683321 16932 04729abe63b66ec59ea56edcd722b058 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty" 1580683321 9067 1b996612394a52e1efe89c8bfe8a5892 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/lscape.sty" 1580683321 1753 f80abc75c0e3a4915097779c2649cc98 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty" 1580683321 3976 d7fa7d81d2870d509d25b17d0245e735 "" + "/usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty" 1580250785 17914 4c28a13fc3d975e6e81c9bea1d697276 "" + "/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def" 1579642962 50630 3d9728faf8630190cf601ce2cbe470d9 "" + "/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty" 1579642962 238752 60dd338d71b6a4ab2192131f73dc908b "" + "/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty" 1579642962 13244 0070bcab7b5a88187847128d22faf4d8 "" + "/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def" 1579642962 14134 32b36577d311ddb6522413c7581ee968 "" + "/usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty" 1137110241 300 12fa6f636b617656f2810ee82cb05015 "" + "/usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd" 1137110241 548 cc4e3557704bfed27c7002773fad6c90 "" + "/usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty" 1575152344 22520 c4c2dab203104295e1e618be7e5c0f5b "" + "/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def" 1580854751 25404 9d60f463a00d154207ec0048dee27cf0 "" + "/usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty" 1581719662 4381 04628f3002bdd1d9c43ef984fd60ae18 "" + "/usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty" 1581719662 81717 e93576ac4b24ce6e121ebd6ec6cf2893 "" + "/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg" 1279039959 678 4792914a8f45be57bb98413425e4c7af "" + "/usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty" 1575499565 5766 13a9e8766c47f30327caf893ece86ac8 "" + "/usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.ltd.tex" 1546728170 98047 c6fa29828cc60471827afe275c8bd77f "" + "/usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.sty" 1546638616 18060 8cf65af2c4529eed91b5d364b50d3ada "" + "/usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg" 1568236792 1830 bbaba8afaf42cc048ec4d4ff73467521 "" + "/usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty" 1568236792 80511 830f3f1d3ab7448dd84233e9c2f6462c "" + "/usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty" 1568236792 77022 32914f01b528131c47be2a1040d3856d "" + "/usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/pgflibrarymatrix.skeleton.code.tex" 1565039202 19612 007f8469df07e9ef0f680e346cc01945 "" + "/usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/tikzlibrarymatrix.skeleton.code.tex" 1565039202 7267 4d597b08b2429acaa1e526052d9509ed "" + "/usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty" 1177890616 3878 6aa7c08ff2621006e0603349e40a30a8 "" + "/usr/share/texlive/texmf-dist/tex/latex/multirow/multirow.sty" 1559339157 5486 a1d954b09782ba0acd8a8abfd98e1028 "" + "/usr/share/texlive/texmf-dist/tex/latex/paralist/paralist.sty" 1485124581 14857 82c76ebe8f06becf69ab309565b2a0cb "" + "/usr/share/texlive/texmf-dist/tex/latex/pdflscape/pdflscape.sty" 1575674318 6575 25396d208d8f2b9395d06ef315d5886c "" + "/usr/share/texlive/texmf-dist/tex/latex/pdfpages/pdfpages.sty" 1580249532 54071 88f1e37dc9e1f95352061a066ed07263 "" + "/usr/share/texlive/texmf-dist/tex/latex/pdfpages/pppdftex.def" 1580249532 6418 197ed301e61ce5b7f446e70345a43a62 "" + "/usr/share/texlive/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty" 1574631863 19963 36fd8e818f9f0f32e2db8413d4970122 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty" 1546728038 1090 d20f587ea9464d1841bd0d13d3ff9856 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty" 1288312291 410 5bf12ea7330e5f12c445332a4fe9a263 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty" 1546728038 21013 e98e1aaaf40d31632787c2bd25d24b57 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty" 1546728038 989 2cf3da8e8ec55131c49389428d565e37 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty" 1203877327 339 592cf35cba3d400082b8a9a5d0199d70 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty" 1393459310 306 0796eafca5e159e6ec2167a6d22d81b1 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty" 1393459310 443 0b2e781830192df35c0fd357cf13e26e "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty" 1393459310 348 8927fde343487e003b01a4c2ca34073b "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty" 1203727794 274 4cad6e665cc93ac2ac979039a94fa1e1 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty" 1203877327 325 2bcd023400636339210573e2b3ee298b "" + "/usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty" 1156702453 857 6c716f26c5eadfb81029fcd6ce2d45e6 "" + "/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty" 1576624809 9878 9e94e8fa600d95f9c7731bb21dfb67a4 "" + "/usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty" 1575674187 9715 b051d5b493d9fe5f4bc251462d039e5f "" + "/usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cfg" 1522098998 1015 662b4d7ad816b857a598284525f5c75e "" + "/usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cls" 1522098998 28890 df75e6d37f47b7e27bff3f37375336b3 "" + "/usr/share/texlive/texmf-dist/tex/latex/tools/array.sty" 1580683321 12560 ce3f59ceae9d9a27bfe037d6bf1d903c "" + "/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty" 1580683321 10216 5efd55f2010055e7b7875afd6a75be82 "" + "/usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty" 1580683321 4120 d1680a5ff60d0aea9c327e07c030f4e9 "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/omltxmi.fd" 1137111002 492 e7f8afe4428797548d4301de03a1b15f "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/omstxsy.fd" 1137111002 329 6ac7e19535b9f1d64e4d8e3f77dc30a3 "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/omxtxex.fd" 1137111002 312 11fe1916b0a13a81a05234a6fc7f8738 "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txr.fd" 1137111002 1271 4e3afbd8e832f2f9c7f064894e6e68e4 "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/t1txr.fd" 1137111002 1242 cbf8a0d4f750f9833a0bfb05fb39f1cb "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/txfonts.sty" 1206746551 50381 d367461010070c7a491b1f6979ab2062 "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxexa.fd" 1137111002 310 1b00b0b05685b816e4c6caccce437e0d "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxmia.fd" 1137111002 334 87436a82076ca2e35cd305f852507afc "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsya.fd" 1137111002 310 cee07e4964749ccbc77d84fc49726a79 "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyb.fd" 1137111002 310 8c5467c8932c259af51b0f116c9734bd "" + "/usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyc.fd" 1137111002 310 4b5d6fe830337242ef847b3bff48ba21 "" + "/usr/share/texlive/texmf-dist/tex/latex/url/url.sty" 1388531844 12796 8edb7d69a20b857904dd0ea757c14ec9 "" + "/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty" 1463002160 55589 34128738f682d033422ca125f82e5d62 "" + "/usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty" 1417732693 4962 9c1069474ff71dbc47d5006555e352d3 "" + "/usr/share/texlive/texmf-dist/web2c/texmf.cnf" 1581979058 38841 ce3692aa899bb693b90b87eaa5d4d84e "" + "/usr/share/texmf/web2c/texmf.cnf" 1581979058 38841 ce3692aa899bb693b90b87eaa5d4d84e "" + "/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1619433582 4770781 1ed1abab22da9c3e2cc82e4db562318b "" + "/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1619433611 8255863 afe1ed795207f6401d11bafd6327aa55 "" + "algo_graph.aux" 1621585123 662 b2b94621371df8d9296b8bf5bec1b851 "pdflatex" + "algo_graph.out" 1621585122 0 d41d8cd98f00b204e9800998ecf8427e "pdflatex" + "algo_graph.tex" 1621585144 5895 0e03594e6e25b7f3671b72694de0d3f4 "" + (generated) + "algo_graph.out" + "algo_graph.pdf" + "algo_graph.aux" + "algo_graph.log" diff --git a/buch/papers/multiplikation/tikz_formulas/algo_graph.fls b/buch/papers/multiplikation/tikz_formulas/algo_graph.fls new file mode 100644 index 0000000..bd1c14e --- /dev/null +++ b/buch/papers/multiplikation/tikz_formulas/algo_graph.fls @@ -0,0 +1,485 @@ +PWD /home/nunigan/Documents/MSE/FS21/SeminarMatrizen/buch/papers/multiplikation/tikz_formulas +INPUT /etc/texmf/web2c/texmf.cnf +INPUT /usr/share/texmf/web2c/texmf.cnf +INPUT /usr/share/texlive/texmf-dist/web2c/texmf.cnf +INPUT /var/lib/texmf/web2c/pdftex/pdflatex.fmt +INPUT algo_graph.tex +OUTPUT algo_graph.log +INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifluatex.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xkeyval/keyval.tex +INPUT /dev/null +INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/standalone/standalone.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/size10.clo +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/size10.clo +INPUT /usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty +INPUT /usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/jknappen/ec/ecrm1000.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/mathrsfs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3kernel/expl3.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdfmode.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3packages/xparse/xparse.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.ltd.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/lipsum/lipsum.ltd.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amscd.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amscd.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/txfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/txfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xy.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xy.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xy.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyrecat.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyidioms.tex +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xydash10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyatip10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybtip10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xybsql10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycirc10.tfm +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyall.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyall.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycurve.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycurve.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyframe.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyframe.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycmtip.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycmtip.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xytips.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xytips.tex +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmat10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xycmbt10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xyluat10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/xypic/xylubt10.tfm +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyline.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyline.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyrotate.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyrotate.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycolor.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xycolor.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xymatrix.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xymatrix.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyarrow.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xyarrow.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xygraph.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xygraph.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-co.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-cu.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-fr.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-li.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/xypic/xypdf-ro.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/paralist/paralist.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/paralist/paralist.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def +INPUT /usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/url/url.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/url/url.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/atbegshi/atbegshi.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/atbegshi/atbegshi.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/atveryend/atveryend.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/atveryend/atveryend.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/array.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/array.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfint.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/carlisle/slashed.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/carlisle/slashed.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pdfpages.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pdfpages.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/eso-pic/eso-pic.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/eso-pic/eso-pic.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pppdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdfpages/pppdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/aobs-tikz/tikzlibraryoverlay-beamer-styles.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/aobs-tikz/tikzlibraryoverlay-beamer-styles.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/tikzlibrarymatrix.skeleton.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/tikzlibrarymatrix.skeleton.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/pgflibrarymatrix.skeleton.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/matrix-skeleton/pgflibrarymatrix.skeleton.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfit.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybackgrounds.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/multirow/multirow.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/multirow/multirow.sty +INPUT algo_graph.aux +INPUT algo_graph.aux +OUTPUT algo_graph.aux +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omltxmi.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omltxmi.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omstxsy.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omstxsy.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omxtxex.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/omxtxex.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxexa.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxexa.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/t1txr.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/t1txr.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm +INPUT /usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +INPUT /usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txr.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txr.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsya.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsya.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyb.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyb.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/jknapltx/ursfs.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs7.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs5.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxmia.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxmia.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyc.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/txfonts/utxsyc.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty +INPUT algo_graph.out +INPUT algo_graph.out +INPUT algo_graph.out +INPUT algo_graph.out +INPUT ./algo_graph.out +INPUT ./algo_graph.out +OUTPUT algo_graph.out +OUTPUT algo_graph.pdf +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdflscape/pdflscape.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pdflscape/pdflscape.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/lscape.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/lscape.sty +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs5.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/t1xr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsy.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txex.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsya.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyb.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/rsfs/rsfs10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txmia.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txsyc.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/txexa.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txmi.vf +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm +INPUT /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map +INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txmi.vf +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxmi.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmri.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/txr.vf +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxptmr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/txfonts/rtxr.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/vf/public/txfonts/t1xr.vf +INPUT algo_graph.aux +INPUT ./algo_graph.out +INPUT ./algo_graph.out +INPUT /usr/share/texlive/texmf-dist/fonts/enc/dvips/base/8r.enc +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/txfonts/rtxr.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmr8a.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/urw/times/utmri8a.pfb diff --git a/buch/papers/multiplikation/tikz_formulas/algo_graph.pdf b/buch/papers/multiplikation/tikz_formulas/algo_graph.pdf Binary files differnew file mode 100755 index 0000000..7f5a984 --- /dev/null +++ b/buch/papers/multiplikation/tikz_formulas/algo_graph.pdf diff --git a/buch/papers/multiplikation/tikz_formulas/algo_graph.tex b/buch/papers/multiplikation/tikz_formulas/algo_graph.tex new file mode 100755 index 0000000..ad4228b --- /dev/null +++ b/buch/papers/multiplikation/tikz_formulas/algo_graph.tex @@ -0,0 +1,140 @@ +\documentclass[border=10pt]{standalone} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usetikzlibrary{automata,positioning} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + +\begin{tikzpicture}[ampersand replacement=\&] + + \foreach \i in {1,...,4} + { + \small{ + \matrix (X\i)[matrix of math nodes,nodes in empty cells, + nodes = {draw, minimum size=10mm, + anchor=center, + inner sep=0pt, outer sep=0pt}, + column sep=-\pgflinewidth, + row sep=-\pgflinewidth, + ] at (0,-\i*5) + { + A_{11}B_{11} \& A_{12}B_{11} \& A_{21}B_{11} \& A_{22}B_{11} \\ + A_{11}B_{21} \& A_{12}B_{21} \& A_{21}B_{21} \& A_{22}B_{21} \\ + A_{11}B_{11} \& A_{12}B_{12} \& A_{21}B_{12} \& A_{22}B_{12} \\ + A_{11}B_{22} \& A_{12}B_{22} \& A_{21}B_{22} \& A_{22}B_{22} \\ + };} + + \foreach \j in {1,...,7} + { + \matrix(M\i\j)[matrix of math nodes,nodes in empty cells, + nodes = {draw, minimum size=10mm, + anchor=center, + inner sep=0pt, outer sep=0pt}, + column sep=-\pgflinewidth, + row sep=-\pgflinewidth, + ] at (\j*5,-\i*5) + { + \& \& \& \\ + \& \& \& \\ + \& \& \& \\ + \& \& \& \\ + }; + } + } + +\huge{ + \node at (-3,-20) {$C_{22}=$}; + \node at (-3,-15) {$C_{21}=$} ; + \node at (-3,-10) {$C_{12}=$} ; + \node at (-3,-5) {$C_{11}=$} ; + + \node at (5,-2) {I}; + \node at (10,-2) {II}; + \node at (15,-2) {III}; + \node at (20,-2) {IV}; + \node at (25,-2) {V}; + \node at (30,-2) {VI}; + \node at (35,-2) {VII}; + } + + + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X1-1-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X1-2-2)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X2-3-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X2-4-2)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X3-1-3)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X3-2-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X4-3-3)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X4-4-4)] {}; + + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-4-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-1-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-4-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-1-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M14-1-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M14-2-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M15-4-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M15-4-2)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M17-2-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M17-4-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M17-2-2)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M17-4-2)] {}; + + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M23-3-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M23-4-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M25-4-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M25-4-2)] {}; + + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M32-1-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M32-1-3)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M34-1-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M34-2-4)] {}; + + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-4-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-1-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-4-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-1-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M42-1-4)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M42-1-3)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M43-3-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M43-4-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M46-1-3)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M46-1-1)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M46-3-3)] {}; + \node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M46-3-1)] {}; +\end{tikzpicture} + + + +\end{document} |
