From: Benjamin Auder Date: Fri, 7 Oct 2016 15:36:44 +0000 (+0200) Subject: Initialize with slightly modified (structure) ppam_mpi X-Git-Url: https://git.auder.net/variants/Chakart/css/assets/doc/pieces/%24%7BgetWhatsApp%28link%29%7D?a=commitdiff_plain;h=ab4a34efe7e9c82020a0e842a48d6bde1241d8a3;p=epclust.git Initialize with slightly modified (structure) ppam_mpi --- ab4a34efe7e9c82020a0e842a48d6bde1241d8a3 diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..112c581 --- /dev/null +++ b/.gitignore @@ -0,0 +1,9 @@ +/code/build/* +/code/data/src/ + +*.aux +*.log +*.nav +*.snm +*.toc +*.out diff --git a/README.md b/README.md new file mode 100644 index 0000000..d510f69 --- /dev/null +++ b/README.md @@ -0,0 +1,17 @@ +# Clustering of EDF power curves from Linky data + +Joint work with [Jairo Cugliari](http://eric.univ-lyon2.fr/~jcugliari/), +[Yannig Goude](https://scholar.google.com/citations?user=D-OLEG4AAAAJ&hl=fr) and +[Jean-Michel Poggi](http://www.math.u-psud.fr/~poggi/) + +--- + +This program takes n time-series in input and is divided in two stages: + 1) (Heuristic) k-medoids algorithm in parallel to obtain K centers, K << n + 2) Filtering WER(?) to obtain the final k < K group representations. + +--- + +The folder "communication/" contains latex sources of the slides showed at half-project(?) + +The other folder contains all the R and C code, with toy datasets (real ones are not public). diff --git a/code/README b/code/README new file mode 100644 index 0000000..ccb3a0f --- /dev/null +++ b/code/README @@ -0,0 +1,21 @@ +To compile source code : + + cd build + cmake ../src + make + +Usage : + + ppam-mpi cluster ifilename nbSeriesInChunk nbClusters randomize p_for_dissims + +Where : + ifilename = path to serialized dataset (read below) + nbSeriesInChunk = number of time-series to process sequentially + nbClusters = number of clusters + randomize = 1 to dispatch time-series at random. 0 to process them in order + p_for_dissims = the 'p' of L_p distance used to compute dissimilarities + +Note : custom [de]serialization. Consider writing your own +in src/TimeSeries/ folder if you plan to test the package. + +See also src/main.c for the details. diff --git a/code/data/test/integers.txt b/code/data/test/integers.txt new file mode 100644 index 0000000..4803f02 --- /dev/null +++ b/code/data/test/integers.txt @@ -0,0 +1,3 @@ +1234,-987,654321,12 +345678 +-1234 diff --git a/code/data/test/reals.txt b/code/data/test/reals.txt new file mode 100644 index 0000000..ef894e6 --- /dev/null +++ b/code/data/test/reals.txt @@ -0,0 +1,4 @@ +1234.056,987e-3,-654321E-2,12.34567 +345678 +-1234.05 +3.0000000e-001,-1.0188000e+000 diff --git a/code/data/test/sample_byCols.bin b/code/data/test/sample_byCols.bin new file mode 100644 index 0000000..effa00e Binary files /dev/null and b/code/data/test/sample_byCols.bin differ diff --git a/code/data/test/sample_byCols.csv b/code/data/test/sample_byCols.csv new file mode 100644 index 0000000..55d304e --- /dev/null +++ b/code/data/test/sample_byCols.csv @@ -0,0 +1,13 @@ +FK_CCU_ID,CPP_DATE_PUISSANCE,CPP_PUISSANCE_CORRIGEE,CPP_PUISSANCE_BRUTE +12301,12JAN2009:00:30:00,,23.051 +12301,12JAN2009:01:00:00,,33.052 +12301,12JAN2009:01:30:00,32.32,43.053 +50000,23MAR2009:00:30:00,,150.321 +50000,23MAR2009:01:00:00,,160.322 +50000,23MAR2009:01:30:00,11.1,140.323 +1313,30MAY2009:10:30:00,10.0,50.05 +1313,30MAY2009:11:00:00,,51.05 +1313,30MAY2009:11:30:00,,52.05 +6300,20JUL2009:08:30:00,,500.30 +6300,20JUL2009:09:00:00,,501.31 +6300,20JUL2009:09:30:00,1.001,502.32 diff --git a/code/data/test/sample_byRows.bin b/code/data/test/sample_byRows.bin new file mode 100644 index 0000000..0bb324b Binary files /dev/null and b/code/data/test/sample_byRows.bin differ diff --git a/code/data/test/sample_byRows.csv b/code/data/test/sample_byRows.csv new file mode 100644 index 0000000..a91eafb --- /dev/null +++ b/code/data/test/sample_byRows.csv @@ -0,0 +1,4 @@ +12301,23.051,,33.052,43.053 +50000,150.321,160.322,140.323 +1313,50.05,51.05,52.05 +6300,500.30,501.31,,502.32 diff --git a/code/ppam.sh b/code/ppam.sh new file mode 100644 index 0000000..26cd32f --- /dev/null +++ b/code/ppam.sh @@ -0,0 +1,30 @@ +#!/bin/bash +#PBS -l walltime=00:05:00 +#PBS -l nodes=2:ppn=8,pmem=1gb +#PBS -oe .output + +WORKDIR="/workdir2/auder/edfclust/code" +cd $WORKDIR + +rm -f .output + +saveLibPath=$LD_LIBRARY_PATH + +#TODO: CDS as a module +LD_LIBRARY_PATH=/workdir2/cds/lib:/opt/openmpi/lib:$LD_LIBRARY_PATH +export LD_LIBRARY_PATH + +#TODO: externalize (de)serialization, do not make assumptions on "how is data stored" (...) + +# ppam args (in case of clustering) = +# 1: path to binary dataset +# 2: series per processor +# 3: number of clusters +# 4: boolean to randomize series sampling +# 5: type of distance (1 for L1, 2 for L2...) + +#TODO: Hybrid MPI+OpenMP +mpirun -np 16 ppam cluster ../data/2009_first10000.bin 300 7 0 1 + +LD_LIBRARY_PATH=$saveLibPath +export LD_LIBRARY_PATH diff --git a/code/src/stage1/Algorithm/compute_coefficients.c b/code/src/stage1/Algorithm/compute_coefficients.c new file mode 100644 index 0000000..a7a73f3 --- /dev/null +++ b/code/src/stage1/Algorithm/compute_coefficients.c @@ -0,0 +1,57 @@ +#include +#include "Util/types.h" +#include +#include +#include + +// compute rows of the matrix of reduced coordinates +void compute_coefficients(PowerCurve* powerCurves, uint32_t nbSeries, uint32_t nbValues, + Real* reducedCoordinates, uint32_t index, uint32_t nbReducedCoordinates) +{ + uint32_t D = (1 << nbReducedCoordinates); + Real* x = (Real*) malloc(nbValues*sizeof(Real)); + for (uint32_t i=0; i +#include + +// compute L^p dissimilarities for a nxm matrix +Real* get_dissimilarities_intra(Real* samples, uint32_t nbSamples, uint32_t nbValues, uint32_t p) +{ + Real* dissimilarities = (Real*) malloc(nbSamples*nbSamples*sizeof(Real)); + for (uint32_t i=0; i +#include +#include + +// auxiliary function to obtain a random sample of 1..n with k elements +static void sample(uint32_t* v, uint32_t n, uint32_t k) +{ + // refVect = (0,1,...,n-1,n) + uint32_t* refVect = (uint32_t*) malloc(n * sizeof(uint32_t)); + for (uint32_t i = 0; i < n; i++) + refVect[i] = i; + + uint32_t curSize = n; // current size of the sampling set + for (uint32_t j = 0; j < k; j++) + { + // pick an index in sampling set: + uint32_t index = get_rand_int() % curSize; + v[j] = refVect[index]; + // move this index outside of sampling set: + refVect[index] = refVect[--curSize]; + } + + free(refVect); +} + +// assign a vector (represented by its dissimilarities to others, as dissimilarities[index,]) +// to a cluster, represented by its center ==> output is integer in 0..K-1 +static uint32_t assignCluster(uint32_t index, Real* dissimilarities, + uint32_t* centers, uint32_t n, uint32_t K) +{ + uint32_t minIndex = 0; + Real minDist = dissimilarities[index * n + centers[0]]; + + for (uint32_t j = 1; j < K; j++) + { + if (dissimilarities[index * n + centers[j]] < minDist) + { + minDist = dissimilarities[index * n + centers[j]]; + minIndex = j; + } + } + + return minIndex; +} + +// assign centers given a clustering, and also compute corresponding distortion +static void assign_centers(uint32_t nbClusters, Vector** clusters, Real* dissimilarities, + uint32_t nbItems, uint32_t* ctrs, Real* distor) +{ + *distor = 0.0; + // TODO [heuristic]: checking only a neighborhood of the former center ? + for (uint32_t j = 0; j < nbClusters; j++) + { + // If the cluster is empty, choose a center at random (pathological case...) + uint32_t minIndex = get_rand_int() % nbItems; + Real minSumDist = INFINITY; + for (uint32_t i = 0; i < vector_size(clusters[j]); i++) + { + uint32_t index1; + vector_get(clusters[j], i, index1); + // attempt to use current index as center + Real sumDist = 0.0; + for (uint32_t ii = 0; ii < vector_size(clusters[j]); ii++) + { + uint32_t index2; + vector_get(clusters[j], ii, index2); + sumDist += dissimilarities[index1 * nbItems + index2]; + } + if (sumDist < minSumDist) + { + minSumDist = sumDist; + minIndex = index1; + } + } + ctrs[j] = minIndex; + *distor += minSumDist; + } +} + +// Core PAM algorithm from a dissimilarity matrix; (e.g. nstart=10, maxiter=100) +void pam(Real* dissimilarities, uint32_t nbItems, uint32_t nbClusters, int clustOnMedoids, + uint32_t nbStart, uint32_t maxNbIter, Result_t* result) +{ + uint32_t* ctrs = result->medoids_ranks; //shorthand + uint32_t* oldCtrs = (uint32_t*) malloc(nbClusters * sizeof(uint32_t)); + Vector** clusters = (Vector**) malloc(nbClusters * sizeof(Vector*)); + Vector** bestClusts = (Vector**) malloc(nbClusters * sizeof(Vector*)); + for (uint32_t j = 0; j < nbClusters; j++) + { + clusters[j] = vector_new(uint32_t); + bestClusts[j] = vector_new(uint32_t); + } + + Real lastDistor, distor, bestDistor = INFINITY; + for (uint32_t startKount = 0; startKount < nbStart; startKount++) + { + // centers (random) [re]initialization + if (clustOnMedoids) + { + // In this special case (clustering groups of medoids), we can improve the sampling + uint32_t randomMedoidRank = get_rand_int() % (nbItems / nbClusters); + uint32_t startIndex = randomMedoidRank * nbClusters; + for (uint32_t index = startIndex; index < startIndex + nbClusters; index++) + ctrs[index - startIndex] = index; + } + else + // No information: complete random sampling + sample(ctrs, nbItems, nbClusters); + for (uint32_t j = 0; j < nbClusters; j++) + oldCtrs[j] = 0; + uint32_t kounter = 0; + + distor = INFINITY; + do // while 'distortion' decreases... + { + // (re)initialize clusters to empty sets + for (uint32_t j = 0; j < nbClusters; j++) + vector_clear(clusters[j]); + + // estimate clusters belongings + for (uint32_t i = 0; i < nbItems; i++) + { + uint32_t affectation = assignCluster(i, dissimilarities, ctrs, nbItems, nbClusters); + vector_push(clusters[affectation], i); + } + + // copy current centers to old centers + for (uint32_t j = 0; j < nbClusters; j++) + oldCtrs[j] = ctrs[j]; + + // recompute centers + lastDistor = distor; + assign_centers(nbClusters, clusters, dissimilarities, nbItems, ctrs, &distor); + } + while (distor < lastDistor && kounter++ < maxNbIter); + + if (distor < bestDistor) + { + // copy current clusters into bestClusts + for (uint32_t j = 0; j < nbClusters; j++) + { + vector_clear(bestClusts[j]); + for (uint32_t i = 0; i < vector_size(clusters[j]); i++) + { + uint32_t index; + vector_get(clusters[j], i, index); + vector_push(bestClusts[j], index); + } + } + bestDistor = distor; + } + } + + // Assign centers from bestClusts + assign_centers(nbClusters, bestClusts, dissimilarities, nbItems, ctrs, &distor); + + free(oldCtrs); + for (uint32_t j = 0; j < nbClusters; j++) + { + vector_destroy(clusters[j]); + vector_destroy(bestClusts[j]); + } + free(clusters); + free(bestClusts); +} diff --git a/code/src/stage1/Algorithm/pam.h b/code/src/stage1/Algorithm/pam.h new file mode 100644 index 0000000..106919f --- /dev/null +++ b/code/src/stage1/Algorithm/pam.h @@ -0,0 +1,13 @@ +#ifndef PPAM_PAM_H +#define PPAM_PAM_H + +#include "Util/types.h" + +#define NSTART 5 +#define MAXITER 100 + +// Core PAM algorithm from a 'flat' dissimilarity matrix +void pam(Real* dissimilarities, uint32_t nbItems, uint32_t nbClusters, + int clustOnMedoids, uint32_t nbStart, uint32_t maxNbIter, Result_t* result); + +#endif diff --git a/code/src/stage1/CMakeLists.txt b/code/src/stage1/CMakeLists.txt new file mode 100644 index 0000000..e69ca5d --- /dev/null +++ b/code/src/stage1/CMakeLists.txt @@ -0,0 +1,46 @@ +cmake_minimum_required(VERSION 2.8.5) +project(ppam_mpi) + +set(CMAKE_C_FLAGS "-std=gnu99") +set(CMAKE_C_FLAGS_DEBUG "-g3") +set(CMAKE_C_FLAGS_RELEASE "-O3") + +#already by default... ?! +include_directories("${CMAKE_SOURCE_DIR}") + +#ppam executable (serialize, cluster, classif) + +#cds +find_path(CDS_INCLUDE_PATH "cds/cds.h") +find_library(CDS_LIBRARY cds) +include_directories(${CDS_INCLUDE_PATH}) + +#GSL: standard location +find_path(GSL_INCLUDE_PATH "gsl/gsl_linalg.h") +include_directories(${GSL_INCLUDE_PATH}) +find_library(GSL_LIBRARY gsl) +find_library(GSLCBLAS_LIBRARY gslcblas) +set(GSL_LIBRARIES ${GSL_LIBRARY} ${GSLCBLAS_LIBRARY}) + +#MPI: standard location +find_package(MPI REQUIRED) +include_directories(${MPI_INCLUDE_PATH}) + +#LibXml2: standard location +find_package(LibXml2 REQUIRED) +include_directories(${LIBXML2_INCLUDE_DIR}) + +file(GLOB_RECURSE ppam_src "${CMAKE_SOURCE_DIR}/*.c") +add_executable(ppam.exe ${ppam_src}) +add_library(ppam SHARED ${ppam_src}) +target_link_libraries(ppam.exe m cds ${MPI_LIBRARIES} ${LIBXML2_LIBRARIES} ${GSL_LIBRARIES} ${CDS_LIBRARY}) +target_link_libraries(ppam m cds ${MPI_LIBRARIES} ${LIBXML2_LIBRARIES} ${GSL_LIBRARIES} ${CDS_LIBRARY}) + +if (MPI_COMPILE_FLAGS) + set_target_properties(ppam.exe PROPERTIES + COMPILE_FLAGS "${MPI_COMPILE_FLAGS}") +endif() +if (MPI_LINK_FLAGS) + set_target_properties(ppam.exe PROPERTIES + LINK_FLAGS "${MPI_LINK_FLAGS}") +endif() diff --git a/code/src/stage1/Classification/_Readme b/code/src/stage1/Classification/_Readme new file mode 100644 index 0000000..4e34128 --- /dev/null +++ b/code/src/stage1/Classification/_Readme @@ -0,0 +1,2 @@ +The output of a k-style clustering can easily be used for supervised classification: +we assign any new observation to the closest cluster representative ("center"). diff --git a/code/src/stage1/Classification/getClass.c b/code/src/stage1/Classification/getClass.c new file mode 100644 index 0000000..aed1467 --- /dev/null +++ b/code/src/stage1/Classification/getClass.c @@ -0,0 +1,46 @@ +#include "Algorithm/get_dissimilarities.h" +#include "TimeSeries/deserialize.h" +#include +#include "Algorithm/compute_coefficients.h" +#include +#include "Util/utils.h" + +uint32_t* get_class(PowerCurve* data, uint32_t nbSeries, PowerCurve* medoids, + uint32_t nbClusters, uint32_t nbValues, uint32_t p_for_dissims, double* DISTOR) +{ + // nbReducedCoordinates = smallest power of 2 which is above nbValues + uint32_t nbReducedCoordinates = (uint32_t)ceil(log2(nbValues)); + + // Preprocessing to reduce dimension of both data and medoids + Real* reducedCoordinates_data = (Real*) malloc(nbSeries * nbReducedCoordinates * sizeof(Real)); + compute_coefficients(data, nbSeries, nbValues, + reducedCoordinates_data, 0, nbReducedCoordinates); + Real* reducedCoordinates_medoids = (Real*) malloc(nbClusters * nbReducedCoordinates * sizeof(Real)); + compute_coefficients(medoids, nbClusters, nbValues, + reducedCoordinates_medoids, 0, nbReducedCoordinates); + + Real* dissimilarities = get_dissimilarities_inter(reducedCoordinates_data, nbSeries, + reducedCoordinates_medoids, nbClusters, nbReducedCoordinates, p_for_dissims); + free(reducedCoordinates_data); + free(reducedCoordinates_medoids); + + // 3] Finally, assign each row to the least dissimilar center + uint32_t* result = (uint32_t*) malloc(nbSeries*sizeof(uint32_t)); + for (uint32_t i=0; i +#include "Util/types.h" +#include "Util/utils.h" + +// serialize a Work_t object into a bytes string +void pack_work(Work_t* work, uint32_t nbSeriesInChunk, Byte* packedWork) +{ + uint32_t index = 0; + + while (work->inputFileName[index] != 0) + { + packedWork[index] = work->inputFileName[index]; + index++; + } + // complete with zeros + while (index < NCHAR_FNAME) + packedWork[index++] = 0; + + write_int(work->nbSeries, 4, packedWork + index); + index += 4; + + for (uint32_t i = 0; i < work->nbSeries; i++) + { + write_int(work->ranks[i], 4, packedWork + index); + index += 4; + } + // complete with zeros + for (uint32_t i = 0; i < nbSeriesInChunk - work->nbSeries; i++) + { + write_int(0, 4, packedWork + index); + index += 4; + } + + write_int(work->nbClusters, 4, packedWork + index); + index += 4; + write_int(work->clustOnMedoids, 4, packedWork + index); + index += 4; + write_int(work->p_for_dissims, 4, packedWork + index); +} + +// serialize a Result_t object into a bytes string +void pack_result(Result_t* result, Byte* packedResult) +{ + uint32_t index = 0; + + write_int(result->nbClusters, 4, packedResult); + index += 4; + + for (uint32_t i = 0; i < result->nbClusters; i++) + { + write_int(result->medoids_ID[i], 4, packedResult + index); + index += 4; + } + + for (uint32_t i = 0; i < result->nbClusters; i++) + { + write_int(result->medoids_ranks[i], 4, packedResult + index); + index += 4; + } +} diff --git a/code/src/stage1/MPI_Communication/pack.h b/code/src/stage1/MPI_Communication/pack.h new file mode 100644 index 0000000..38338f7 --- /dev/null +++ b/code/src/stage1/MPI_Communication/pack.h @@ -0,0 +1,12 @@ +#ifndef PPAM_PACK_H +#define PPAM_PACK_H + +#include "Util/types.h" + +// serialize a Work_t object into a bytes string +void pack_work(Work_t* work, uint32_t nbSeriesInChunk, Byte* packedWork); + +// serialize a Result_t object into a bytes string +void pack_result(Result_t* result, Byte* packedResult); + +#endif diff --git a/code/src/stage1/MPI_Communication/unpack.c b/code/src/stage1/MPI_Communication/unpack.c new file mode 100644 index 0000000..de51270 --- /dev/null +++ b/code/src/stage1/MPI_Communication/unpack.c @@ -0,0 +1,68 @@ +#include +#include "Util/types.h" +#include "Util/utils.h" + +// deserialize a Work_t object from a bytes string +Work_t* unpack_work(Byte* packedWork, uint32_t nbSeriesInChunk) +{ + Work_t* work = (Work_t*) malloc(sizeof(Work_t)); + + uint32_t index = 0; + + size_t inputFileNameSize = 0; + while (packedWork[inputFileNameSize++] != 0) { } + work->inputFileName = (char*) malloc(inputFileNameSize); + while (index < inputFileNameSize) + { + work->inputFileName[index] = packedWork[index]; + index++; + } + + index = NCHAR_FNAME; + + uint32_t nbSeries = work->nbSeries = bInt_to_uint(packedWork + index, 4); + index += 4; + + work->ranks = (uint32_t*) malloc(nbSeries * sizeof(uint32_t)); + for (uint32_t i = 0; i < nbSeries; i++) + { + work->ranks[i] = bInt_to_uint(packedWork + index, 4); + index += 4; + } + // shift over the zeros + index += 4 * (nbSeriesInChunk - nbSeries); + + work->nbClusters = bInt_to_uint(packedWork + index, 4); + index += 4; + work->clustOnMedoids = bInt_to_uint(packedWork + index, 4); + index += 4; + work->p_for_dissims = bInt_to_uint(packedWork + index, 4); + + return work; +} + +// deserialize a Result_t object from a bytes string +Result_t* unpack_result(Byte* packedResult) +{ + Result_t* result = (Result_t*) malloc(sizeof(Result_t)); + uint32_t index = 0; + + uint32_t nbClusters = result->nbClusters = bInt_to_uint(packedResult, 4); + index += 4; + + result->medoids_ID = (uint32_t*) malloc(nbClusters * sizeof(uint32_t)); + for (uint32_t i = 0; i < nbClusters; i++) + { + result->medoids_ID[i] = bInt_to_uint(packedResult + index, 4); + index += 4; + } + + result->medoids_ranks = (uint32_t*) malloc(nbClusters * sizeof(uint32_t)); + for (uint32_t i = 0; i < nbClusters; i++) + { + result->medoids_ranks[i] = bInt_to_uint(packedResult + index, 4); + index += 4; + } + + return result; +} diff --git a/code/src/stage1/MPI_Communication/unpack.h b/code/src/stage1/MPI_Communication/unpack.h new file mode 100644 index 0000000..3c7b414 --- /dev/null +++ b/code/src/stage1/MPI_Communication/unpack.h @@ -0,0 +1,12 @@ +#ifndef PPAM_UNPACK_H +#define PPAM_UNPACK_H + +#include "Util/types.h" + +// deserialize a Work_t object from a bytes string +Work_t* unpack_work(Byte* packedWork, uint32_t nbSeriesInChunk); + +// deserialize a Result_t object from a bytes string +Result_t* unpack_result(Byte* packedResult); + +#endif diff --git a/code/src/stage1/MPI_Main/master.c b/code/src/stage1/MPI_Main/master.c new file mode 100644 index 0000000..c4e16cd --- /dev/null +++ b/code/src/stage1/MPI_Main/master.c @@ -0,0 +1,383 @@ +#include "Util/types.h" +#include "Util/utils.h" +#include +#include +#include +#include +#include +#include +#include "MPI_Communication/pack.h" +#include "MPI_Communication/unpack.h" +#include "Util/rng.h" + +// save the final result in XML format +static void result_to_XML(Result_t* result, const char* inputFileName, + const char* lastBinaryFileName, uint32_t p_for_dissims) +{ + uint32_t nbClusters = result->nbClusters; + FILE* ofile = fopen("ppamResult.xml", "w"); + + fprintf(ofile, "\n\n"); + + fprintf(ofile, " "); + fprintf(ofile, "%s", lastBinaryFileName); + fprintf(ofile, "\n\n"); + + fprintf(ofile, " "); + fprintf(ofile, "%u", p_for_dissims); + fprintf(ofile, "\n\n"); + + fprintf(ofile, " \n"); + for (uint32_t i=0; i%u\n", result->medoids_ID[i]); + fprintf(ofile, " \n\n"); + + // medoids ranks in last binary file (human printing: 0 --> 1 ...etc) + fprintf(ofile, " \n"); + for (uint32_t i=0; i%u\n", result->medoids_ranks[i] + 1); + fprintf(ofile, " \n\n"); + + fprintf(ofile, "\n"); + fclose(ofile); +} + +static void binaryResult_to_file(Result_t* result, const char* inputFileName, + const char* outputFileName) +{ + // Determine tsLength from inputFile + uint32_t tsLength = get_tsLength(inputFileName); + + FILE* ifile = fopen(inputFileName, "rb"); + FILE* ofile = fopen(outputFileName, "ab"); //'append binary' + + Byte tsBuffer[tsLength]; + for (uint32_t i = 0; i < result->nbClusters; i++) + { + // Get time-series in (binary) inputFile + fseek(ifile, 8 + result->medoids_ranks[i] * tsLength, SEEK_SET); + // Copy current serie onto ofile + + size_t lengthRead = fread(tsBuffer, 1, tsLength, ifile); + if (lengthRead != tsLength) + fprintf(stderr, "problem while copying binary series to new file.\n"); + fwrite(tsBuffer, 1, tsLength, ofile); + } + + fclose(ifile); + fclose(ofile); +} + +// fill a new unit of work suitable to be given to a slave +static Work_t* get_next_work(char* inputFileName, uint32_t nbSeries, uint32_t nbSeriesInChunk, + double idealNbSeriesInChunk, uint32_t jobsSentCount, uint32_t lastEndIndex, + uint32_t nbClusters, uint32_t clustOnMedoids, + int randomize, uint32_t p_for_dissims) +{ + Work_t* work = (Work_t*) malloc(sizeof(Work_t)); + + work->inputFileName = (char*) malloc(strlen(inputFileName) + 1); + strcpy(work->inputFileName, inputFileName); + + if (randomize) + work->nbSeries = nbSeriesInChunk; + else + { + double adjustedNbSeriesInNextChunk = + idealNbSeriesInChunk * (jobsSentCount + 1) - lastEndIndex; + // round to closest integer + work->nbSeries = (uint32_t)adjustedNbSeriesInNextChunk; + // stay below the upper bound (TODO: is this check required ?) + if (work->nbSeries > nbSeriesInChunk) + work->nbSeries = nbSeriesInChunk; + // TODO: what about this one ? (probably useless) + if (lastEndIndex + work->nbSeries > nbSeries) + work->nbSeries = nbSeries - lastEndIndex; + } + + //TODO: ranks on uint64_t if more than 4.3 billion series at the same place (unlikely...) + work->ranks = (uint32_t*) malloc(work->nbSeries * sizeof(uint32_t)); + for (uint32_t i = 0; i < work->nbSeries; i++) + work->ranks[i] = (randomize ? get_rand_int() % nbSeries : lastEndIndex + i); + + work->nbClusters = nbClusters; + work->clustOnMedoids = clustOnMedoids; + work->p_for_dissims = p_for_dissims; + + return work; +} + +// process all subtasks and save binary results into a new file +// NOTE: this file will be smaller than initial file (or DB...) +static void clusters_reduce(char* inputFileName, char* outputFileName, uint32_t ntasks, + uint32_t totalNbSeries, uint32_t nbSeriesInChunk, double idealNbSeriesInChunk, + uint32_t tsLength, uint32_t nbClusters, uint32_t clustOnMedoids, + int randomize, uint32_t p_for_dissims) +{ + FILE* ofile = fopen(outputFileName, "wb"); //'write binary' + // Leave a blank for series' count and tsLength + for (uint32_t i = 0; i < 8; i++) + fputc(0, ofile); + fclose(ofile); + + uint32_t jobsSentCount = 0; //used if randomize==FALSE + uint32_t lastEndIndex = 0; //used if randomize==FALSE + + uint32_t sentSeriesCount = 0; //used if randomize==TRUE + + // Count series sent to binary file on output + uint32_t newSeriesCount = 0; + + // Expected size of a Work message in bytes: + uint32_t work_message_length = get_packedWork_length(nbSeriesInChunk); + Byte packedWork[work_message_length]; + + // Expected size of a Result message in bytes: (uint32_t is on 4 bytes) + uint32_t result_message_length = 4 + 4 * nbClusters + 4 * nbClusters; + Byte packedResult[result_message_length]; + + // Seed the slaves; send one unit of work to each slave. + Work_t* work; + int* busy_slave = (int*) malloc(ntasks * sizeof(int)); + for (int rank = 1; rank < ntasks; rank++) + busy_slave[rank] = 0; + for (int rank = 1; rank < ntasks; rank++) + { + // Find the next item of work to do + work = get_next_work(inputFileName, totalNbSeries, nbSeriesInChunk, idealNbSeriesInChunk, + jobsSentCount, lastEndIndex, nbClusters, clustOnMedoids, + randomize, p_for_dissims); + + if (randomize) + sentSeriesCount += nbSeriesInChunk; + else + { + lastEndIndex = lastEndIndex + work->nbSeries; + jobsSentCount++; + } + + // Send it to current rank + pack_work(work, nbSeriesInChunk, packedWork); + free_work(work); + fprintf(stdout, "0 / Send work %s to rank=%i / %u\n",inputFileName, rank, + (randomize ? sentSeriesCount : lastEndIndex)); + MPI_Send(packedWork, work_message_length, MPI_BYTE, rank, WORKTAG, MPI_COMM_WORLD); + + busy_slave[rank] = 1; + + if ((randomize && sentSeriesCount >= 1.5*totalNbSeries) //TODO: 1.5 = heuristic, magic number... + || (!randomize && lastEndIndex >= totalNbSeries)) + { + // Nothing more to read + break; + } + } + + // Loop over getting new work requests until there is no more work to be done + Result_t* result; + MPI_Status status; + while (1) + { + // If no slave is active, job is over + int atLeastOneSlaveActive = 0; + for (int rank = 1; rank < ntasks; rank++) + { + if (busy_slave[rank]) + { + atLeastOneSlaveActive = 1; + break; + } + } + if (!atLeastOneSlaveActive) + break; + + // Receive results from a slave + MPI_Recv(packedResult, result_message_length, MPI_BYTE, MPI_ANY_SOURCE, + WORKTAG, MPI_COMM_WORLD, &status); + result = unpack_result(packedResult); + fprintf(stdout, "0 / Receive result from rank=%i on %s\n",status.MPI_SOURCE,inputFileName); + + // 'binarize' the result (only series' values) returned by the slave + binaryResult_to_file(result, inputFileName, outputFileName); + free_result(result); + newSeriesCount += nbClusters; + + if ((randomize && sentSeriesCount < totalNbSeries) + || (!randomize && lastEndIndex < totalNbSeries)) + { + // Get the next unit of work to be done + work = get_next_work(inputFileName, totalNbSeries, nbSeriesInChunk, + idealNbSeriesInChunk, jobsSentCount, lastEndIndex, nbClusters, + clustOnMedoids, randomize, p_for_dissims); + + if (randomize) + sentSeriesCount += nbSeriesInChunk; + else + { + lastEndIndex = lastEndIndex + work->nbSeries; + jobsSentCount++; + } + + // Send the slave a new work unit + pack_work(work, nbSeriesInChunk, packedWork); + free_work(work); + fprintf(stdout, "0 / Send work %s to rank=%i / %u\n",inputFileName, status.MPI_SOURCE, + (randomize ? sentSeriesCount : lastEndIndex)); + MPI_Send(packedWork, work_message_length, MPI_BYTE, + status.MPI_SOURCE, WORKTAG, MPI_COMM_WORLD); + } + + else + // No more work to do + busy_slave[status.MPI_SOURCE] = 0; + } + + // There's no more work to be done, so receive all results from the slaves. + for (int rank = 1; rank < ntasks; rank++) + { + if (busy_slave[rank]) + { + MPI_Recv(packedResult, result_message_length, MPI_BYTE, + rank, WORKTAG, MPI_COMM_WORLD, &status); + result = unpack_result(packedResult); + + // 'binarize' the result (only series' values) returned by the slave + binaryResult_to_file(result, inputFileName, outputFileName); + free_result(result); + newSeriesCount += nbClusters; + } + } + free(busy_slave); + + // Finalize output file: write total number of series inside it, and tsLength + ofile = fopen(outputFileName, "r+b"); //read and write, binary + fseek(ofile, 0, SEEK_SET); + Byte intBuffer[4]; + write_int(newSeriesCount, 4, intBuffer); + fwrite(intBuffer, 1, 4, ofile); + write_int(tsLength, 4, intBuffer); + fwrite(intBuffer, 1, 4, ofile); + fclose(ofile); +} + +// generate random temporary file names +static char* get_unique_name() +{ + size_t nbDigits = 7; //rather arbitrary + size_t stringLength = 5 + nbDigits; //5 for '.tmp/' + char* s = (char*) malloc(stringLength + 1); + s[0] = '.'; + s[1] = 't'; + s[2] = 'm'; + s[3] = 'p'; + s[4] = '/'; + for (int i=0; i= nbSeriesInChunk) + { + fprintf(stdout, "WARNING: cluster size (%u) may be too high compared with chunk size (%u).\n", + nbClusters, nbSeriesInChunk); + } + + // Find out how many processes there are in the default communicator + int ntasks; + MPI_Comm_size(MPI_COMM_WORLD, &ntasks); + if (ntasks <= 1) + { + fprintf(stderr,"No slaves available (only master running).\n"); + return; + } + + // initializations + char* inputFileName = mainInputFileName; + char* outputFileName; + + uint32_t nbSeriesInFile = totalNbSeries; + + while (nbSeriesInFile > nbSeriesInChunk) + { + outputFileName = get_unique_name(); + uint32_t clustOnMedoids = (nbSeriesInFile < totalNbSeries ? 1 : 0); + clusters_reduce(inputFileName, outputFileName, ntasks, nbSeriesInFile, nbSeriesInChunk, + idealNbSeriesInChunk, tsLength, nbClusters, clustOnMedoids, + randomize, p_for_dissims); + + // read nbSeries in outputFile + nbSeriesInFile = get_nbSeries(outputFileName); + + // update file names + if (strcmp(mainInputFileName, inputFileName) != 0) + { + // No need to keep every intermediate binary + unlink(inputFileName); + free(inputFileName); + } + inputFileName = outputFileName; + } + + // read nbSeries in inputFileName (the last one) + // we know that there is at most 'nbSeriesInChunk' series in it + nbSeriesInFile = get_nbSeries(inputFileName); + + // Expected size of a Work message in bytes: + uint32_t work_message_length = get_packedWork_length(nbSeriesInChunk); + Byte packedWork[work_message_length]; + + // Expected size of a Result message in bytes: (uint32_t is on 4 bytes) + uint32_t result_message_length = get_packedResult_length(nbClusters); + Byte packedResult[result_message_length]; + + // Run a last task by some slave, and get final result + Work_t* work = get_next_work(inputFileName, nbSeriesInFile, nbSeriesInChunk, + (double)nbSeriesInFile, 0, 0, nbClusters, 1, 0, p_for_dissims); + + // Send the slave a new work unit + pack_work(work, nbSeriesInChunk, packedWork); + free_work(work); + int selectedSlaveRank = get_rand_int() % (ntasks - 1) + 1; + fprintf(stdout, "0 / Send final work %s to rank=%i / %u\n", + inputFileName, selectedSlaveRank, nbSeriesInFile); + MPI_Send(packedWork, work_message_length, MPI_BYTE, selectedSlaveRank, + WORKTAG, MPI_COMM_WORLD); + + MPI_Status status; + // Wait for him to finish + MPI_Recv(packedResult, result_message_length, MPI_BYTE, selectedSlaveRank, + WORKTAG, MPI_COMM_WORLD, &status); + Result_t* finalResult = unpack_result(packedResult); + fprintf(stdout, "0 / Receive final result from rank=%i on %s\n",status.MPI_SOURCE,inputFileName); + + //Tell all the slaves to exit by sending an empty message with the DIETAG. + for (int rank = 1; rank < ntasks; ++rank) + MPI_Send(0, 0, MPI_BYTE, rank, DIETAG, MPI_COMM_WORLD); + + const char finalBinaryName[] = "ppamFinalSeries.bin"; + result_to_XML(finalResult, inputFileName, finalBinaryName, p_for_dissims); + free_result(finalResult); + + // free memory + if (strcmp(mainInputFileName, inputFileName)) + { + // Keep last input binary, but rename it + rename(inputFileName, finalBinaryName); + free(inputFileName); + } + else + { + // just symlink mainInputFileName + if (!access(finalBinaryName, F_OK)) + unlink(finalBinaryName); + if (symlink(mainInputFileName, finalBinaryName)) + fprintf(stderr,"Cannot create symlink to initial binary file.\n"); + } +} diff --git a/code/src/stage1/MPI_Main/master.h b/code/src/stage1/MPI_Main/master.h new file mode 100644 index 0000000..397ea59 --- /dev/null +++ b/code/src/stage1/MPI_Main/master.h @@ -0,0 +1,11 @@ +#ifndef PPAM_MASTER_H +#define PPAM_MASTER_H + +#include + +// code executed by master process +void master_run(char* fileName, uint32_t totalNbSeries, uint32_t nbSeriesInChunk, + double idealNbSeriesInChunk, uint32_t tsLength, uint32_t nbClusters, + int randomize, uint32_t p_for_dissims); + +#endif diff --git a/code/src/stage1/MPI_Main/slave.c b/code/src/stage1/MPI_Main/slave.c new file mode 100644 index 0000000..d9b0c47 --- /dev/null +++ b/code/src/stage1/MPI_Main/slave.c @@ -0,0 +1,111 @@ +#include "Util/types.h" +#include "Util/utils.h" +#include "TimeSeries/deserialize.h" +#include "Algorithm/compute_coefficients.h" +#include "Algorithm/get_dissimilarities.h" +#include "Algorithm/pam.h" +#include +#include +#include +#include +#include +#include "MPI_Communication/unpack.h" +#include "MPI_Communication/pack.h" + +// main job done by a slave: +static Result_t* do_work(Work_t* work) +{ + // *** Step 1 *** + // Obtain reduced coordinates matrix from time-series. + + uint32_t nbSeries = work->nbSeries; + uint32_t tsLength = get_tsLength(work->inputFileName); + uint32_t nbValues = (tsLength - 4) / 3; + + // nbReducedCoordinates = smallest power of 2 which is above nbValues + uint32_t nbReducedCoordinates = (uint32_t)ceil(log2(nbValues)); + Real* reducedCoordinates = (Real*) malloc(nbSeries * nbReducedCoordinates * sizeof(Real)); + + // call preprocessing with the rows of raw power values matrix. + // Keep the IDs in memory for further processing. + uint32_t* IDs = (uint32_t*)malloc(nbSeries*sizeof(uint32_t)); + for (uint32_t i = 0; i < nbSeries; i+=CURVES_PER_REQUEST) + { + uint32_t nbCurvesRetrieved = CURVES_PER_REQUEST; + if (i + nbCurvesRetrieved > nbSeries) + nbCurvesRetrieved -= (i + nbCurvesRetrieved - nbSeries); + PowerCurve* powerCurves = + deserialize(work->inputFileName, NULL, work->ranks + i, nbCurvesRetrieved); + compute_coefficients(powerCurves, nbCurvesRetrieved, nbValues, + reducedCoordinates, i, nbReducedCoordinates); + for (uint32_t ii=i; iip_for_dissims); + free(reducedCoordinates); + + uint32_t nbClusters = work->nbClusters; + Result_t* result = (Result_t*) malloc(sizeof(Result_t)); + result->medoids_ID = (uint32_t*) malloc(nbClusters * sizeof(uint32_t)); + result->medoids_ranks = (uint32_t*) malloc(nbClusters * sizeof(uint32_t)); + result->nbClusters = nbClusters; + + // Run PAM algorithm to fill result->medoids_ranks + pam(dissimilarities, nbSeries, nbClusters, work->clustOnMedoids, NSTART, MAXITER, result); + free(dissimilarities); + + // Deduce medoids_IDs from indices + for (uint32_t i = 0; i < nbClusters; i++) + result->medoids_ID[i] = IDs[result->medoids_ranks[i]]; + free(IDs); + + // return medoids IDs, indices and items labels (to be post-processed) + return result; +} + +// code executed by slave process +void slave_run(int myrank, uint32_t nbSeriesInChunk, uint32_t nbClusters) +{ + Work_t* work; + Result_t* result; + MPI_Status status; + + // Expected size of a Work message in bytes: + uint32_t work_message_length = get_packedWork_length(nbSeriesInChunk); + Byte packedWork[work_message_length]; + + // Expected size of a Result message in bytes: (uint32_t is on 4 bytes) + uint32_t result_message_length = get_packedResult_length(nbClusters); + Byte packedResult[result_message_length]; + + while (1) + { + // Receive a message from the master + MPI_Recv(packedWork, work_message_length, MPI_BYTE, 0, + MPI_ANY_TAG, MPI_COMM_WORLD, &status); + + // Check the tag of the received message. + if (status.MPI_TAG == DIETAG) + return; + + // Do the work + work = unpack_work(packedWork, nbSeriesInChunk); + fprintf(stdout, "%u / Slave pid=%u work on %s\n",myrank,getpid(),work->inputFileName); + result = do_work(work); + free_work(work); + + // Send the result back + pack_result(result, packedResult); + free_result(result); + MPI_Send(packedResult, result_message_length, MPI_BYTE, 0, WORKTAG, MPI_COMM_WORLD); + } +} diff --git a/code/src/stage1/MPI_Main/slave.h b/code/src/stage1/MPI_Main/slave.h new file mode 100644 index 0000000..b5ef443 --- /dev/null +++ b/code/src/stage1/MPI_Main/slave.h @@ -0,0 +1,9 @@ +#ifndef PPAM_SLAVE_H +#define PPAM_SLAVE_H + +#include + +// code executed by slave process +void slave_run(int myrank, uint32_t nbSeriesInChunk, uint32_t nbClusters); + +#endif diff --git a/code/src/stage1/TimeSeries/deserialize.c b/code/src/stage1/TimeSeries/deserialize.c new file mode 100644 index 0000000..5d1d758 --- /dev/null +++ b/code/src/stage1/TimeSeries/deserialize.c @@ -0,0 +1,82 @@ +#include "TimeSeries/deserialize.h" +#include +#include "Util/utils.h" + +// Deserialize a portion of a binary file into an array of PowerCurve, or a file +// WARNING: NO start bytes, NO date times (all series have the same length, at same times). +PowerCurve* deserialize(const char* ifileName, const char* ofileName, + uint32_t* ranks, uint32_t nbRanks) +{ + // Read tsLength at the beginning of the file + uint32_t tsLength = get_tsLength(ifileName); + + uint32_t valuesPerSerie = (tsLength - 4) / 3; //remove 4 bytes of ID + + FILE* ifile = fopen(ifileName, "rb"); + FILE* ofile = NULL; + if (ofileName) + ofile = fopen(ofileName, "w"); + + if (!ranks || nbRanks <= 0) + { + nbRanks = get_nbSeries(ifileName); + ranks = NULL; + } + + PowerCurve* powerCurves = NULL; + if (!ofile) + powerCurves = (PowerCurve*) malloc(nbRanks * sizeof(PowerCurve)); + + for (uint32_t i = 0; i < nbRanks; i++) + { + // position to the beginning of current (binarized) time-series + // NOTE: shift by 8 bytes, because data size and series length are written first + fseek(ifile, 8 + (ranks ? ranks[i] : i) * tsLength, SEEK_SET); + + PowerCurve* powerCurve; + if (!ofile) + { + powerCurve = powerCurves + i; + powerCurve->values = (Real*) malloc(valuesPerSerie * sizeof(Real)); + } + + // translate 4-bytes binary integer into integer ID + void* binaryID = malloc(4); + size_t lengthRead = fread(binaryID, 4, 1, ifile); + if (lengthRead != 1) + fprintf(stderr,"Warning: deserializing truncated binary file.\n"); + uint32_t ID = bInt_to_uint((Byte*) binaryID, 4); + free(binaryID); + if (ofile) + fprintf(ofile, "%u,", ID); + else + powerCurve->ID = ID; + + // translate 3-bytes binary integers into Real + Byte* binarySerie = (Byte*) malloc(3 * valuesPerSerie); + lengthRead = fread(binarySerie, 1, 3*valuesPerSerie, ifile); + if (lengthRead != 3*valuesPerSerie) + fprintf(stderr,"Warning: deserializing truncated binary file.\n"); + for (uint32_t i = 0; i < valuesPerSerie; i++) + { + uint32_t powerInt = bInt_to_uint(binarySerie + 3 * i, 3); + if (ofile) + { + fprintf(ofile, "%g", powerInt / 10.0 - 0.0); + if (i < valuesPerSerie-1) + fprintf(ofile, ","); + } + else + powerCurve->values[i] = powerInt / 10.0 - 0.0; + } + free(binarySerie); + if (ofile) + fprintf(ofile, "\n"); + } + + fclose(ifile); + if (ofile) + fclose(ofile); + + return powerCurves; +} diff --git a/code/src/stage1/TimeSeries/deserialize.h b/code/src/stage1/TimeSeries/deserialize.h new file mode 100644 index 0000000..aa6a3d6 --- /dev/null +++ b/code/src/stage1/TimeSeries/deserialize.h @@ -0,0 +1,12 @@ +#ifndef PPAM_DESERIALIZE_H +#define PPAM_DESERIALIZE_H + +#include +#include +#include "Util/types.h" + +// deserialize a portion of a binary file into an array of PowerCurve +PowerCurve* deserialize(const char* ifileName, const char* ofileName, + uint32_t* ranks, uint32_t nbRanks); + +#endif diff --git a/code/src/stage1/TimeSeries/serialize.c b/code/src/stage1/TimeSeries/serialize.c new file mode 100644 index 0000000..ab552c9 --- /dev/null +++ b/code/src/stage1/TimeSeries/serialize.c @@ -0,0 +1,306 @@ +#include "TimeSeries/serialize.h" +#define __STDC_FORMAT_MACROS +#include +#include +#include "Util/types.h" +#include "Util/utils.h" +#include +#include + +// parse a line into two integers (ID, raw power) +static void scan_line(FILE* ifile, int posID, uint32_t* ID, int posPower, uint32_t* rawPower) +{ + char nextChar; + int position = 1; + while (1) + { + if (position == posID) + { + int64_t ID_on64bits; + nextChar = readInt(ifile, &ID_on64bits); + *ID = (uint32_t)ID_on64bits; + } + else if (position == posPower) + { + Real untruncatedPower; + nextChar = readReal(ifile, &untruncatedPower); + if (untruncatedPower < 0.0) + untruncatedPower = 0.0; + *rawPower = (uint32_t) floor(untruncatedPower*10.0); + } + else + //erase the comma (and skip field then) + nextChar = fgetc(ifile); + + //continue until next comma (or line end or file end) + while (!feof(ifile) && nextChar != '\n' && nextChar != '\r' && nextChar != ',') + nextChar = fgetc(ifile); + position++; + + if (feof(ifile) || nextChar == '\n' || nextChar == '\r') + { + // skip all potential line feeds + while (!feof(ifile) && nextChar == '\n' || nextChar == '\r') + nextChar = fgetc(ifile); + if (!feof(ifile)) + ungetc(nextChar, ifile); + break; + } + } +} + +//main job: parse a text file into a binary compressed version +//TODO [long term]: adapt to distributed files/DB, maybe to distributed binary chunks +void serialize_byCols(const char* ifileName, const char* ofileName, uint32_t nbItems) +{ + // use the header to know positions of ID and rawPower + FILE* ifile = fopen(ifileName, "r"); + uint32_t headerShift = 0; + char curChar; + Vector* header = vector_new(char); + do + { + curChar = fgetc(ifile); + headerShift++; + if (curChar == '\n' || curChar == '\r') + { + //flush all potential other line feeds + while (curChar == '\n' || curChar == '\r') + curChar = fgetc(ifile); + ungetc(curChar, ifile); + break; + } + vector_push(header, curChar); + } + while (1); + char* headerString = (char*)malloc((vector_size(header) + 1)*sizeof(char)); + VectorIterator* it = vector_get_iterator(header); + int index = 0; + while (vectorI_has_data(it)) + { + vectorI_get(it, headerString[index]); + vectorI_move_next(it); + index++; + } + vectorI_destroy(it); + headerString[index] = 0; + vector_destroy(header); + int position = 1, posID = 0, posPower = 0; + char* columnDescriptor = strtok(headerString, ","); + while (columnDescriptor != NULL) + { + if (!strcmp(columnDescriptor,"FK_CCU_ID") || !strcmp(columnDescriptor,"fk_ccu_id")) + posID = position; + else if (!strcmp(columnDescriptor,"CPP_PUISSANCE_BRUTE")) + posPower = position; + position++; + columnDescriptor = strtok(NULL, ","); + } + free(headerString); + + //estimate tsLength with a scan of the 3 first series + uint32_t ID=0, rawPower=0, lastID=0, refTsLength=0; + scan_line(ifile, posID, &ID, posPower, &rawPower); + //'sl' = sample lengths (short because a lot of comparisons then) + uint32_t* sl = (uint32_t*) calloc(3, sizeof(uint32_t)); + for (int i=0; i<3; i++) + { + lastID = ID; + while (ID == lastID) + { + sl[i]++; + scan_line(ifile, posID, &ID, posPower, &rawPower); + } + } + if (sl[1] <= sl[0] <= sl[2] || sl[2] <= sl[0] <= sl[1]) + refTsLength = sl[0]; + else if (sl[0] <= sl[1] <= sl[2] || sl[2] <= sl[1] <= sl[0]) + refTsLength = sl[1]; + else + refTsLength = sl[2]; + free(sl); + //go back at the beginning of the first series (ready to read '\n'...) + fseek(ifile, headerShift-1, SEEK_SET); + + // output file to write time-series sequentially, binary format. + // Format: for each series, ID is stored on 4 bytes (unsigned integer32). Then, + // ()+ follow, with rawPower stored as a "3 bytes int" + // rawPower values are multiplied by 10 and truncated one digit after 0 + // NOTE: no raw power should be exactly zero + FILE* ofile = fopen(ofileName, "wb"); + + // leave space to write the number of series (32bits), and their length in bytes (32bits) + for (int i = 0; i < 8; i++) + fputc(0, ofile); + + // process one client (ID in first column) at a time + uint64_t processedLines = 0; //execution trace + uint32_t seriesCount=0, skippedSeriesCount=0, tsLength=0; + uint32_t mismatchLengthCount=0, overflowCount=0; + Byte tsBuffer[4+3*refTsLength]; + int overflow = 0; + lastID = 0; + while (!feof(ifile)) + { + // next element to read always start with a digit + do + curChar = fgetc(ifile); + while (!feof(ifile) && (curChar < '0' || curChar > '9')); + if (feof(ifile)) + break; + ungetc(curChar, ifile); + + // read line + scan_line(ifile, posID, &ID, posPower, &rawPower); + if (ID != lastID) + { + //just starting a new time-series: must process the last one (if there is a last one !) + if (lastID > 0) + { + if (tsLength == refTsLength && !overflow) + { + seriesCount++; + fwrite(tsBuffer, 4+3*tsLength, 1, ofile); + if (nbItems > 0 && seriesCount >= nbItems) + break; + } + //if something wrong happened, skip series + else + { + skippedSeriesCount++; + if (tsLength != refTsLength) + mismatchLengthCount++; + if (overflow) + overflowCount++; + } + } + + // ID for the new series is printed only once: + write_int(ID, 4, tsBuffer); + // reinitialize flags + overflow = 0; + tsLength = 0; + lastID = ID; + } + + overflow = (overflow || (rawPower >= (1 << 24))); + //We cannot write more than refTsLength bytes + if (tsLength < refTsLength) + write_int(rawPower, 3, tsBuffer + 4+3*tsLength); + tsLength++; + + if ((++processedLines) % 1000000 == 0) + fprintf(stdout,"Processed %"PRIu64" lines\n", processedLines); + } + + if (!overflow && tsLength == refTsLength && (nbItems <= 0 || seriesCount < nbItems)) + { + // flush last time-series if all conditions are met + fwrite(tsBuffer, 4+3*tsLength, 1, ofile); + seriesCount++; + } + else if (nbItems <= 0 || seriesCount < nbItems) + { + if (tsLength != refTsLength) + mismatchLengthCount++; + if (overflow) + overflowCount++; + } + + // write lines count and size of a time-series in bytes + Byte intBuffer[4]; + fseek(ofile, 0, SEEK_SET); + write_int(seriesCount, 4, intBuffer); + fwrite(intBuffer, 1, 4, ofile); + // re-express tsLength in bytes (not forgetting the ID)) + write_int(4 + 3 * refTsLength, 4, intBuffer); + fwrite(intBuffer, 1, 4, ofile); + + // finally print some statistics + if (seriesCount < nbItems) + fprintf(stdout,"Warning: only %u series retrieved.\n",seriesCount); + fprintf(stdout,"%u overflows / %u mismatch series lengths.\n",overflowCount,mismatchLengthCount); + + fclose(ifile); + fclose(ofile); +} + +//serialize from usual 'by-row' data (for StarLight example and toy dataset) +void serialize_byRows(const char* ifileName, const char* ofileName, uint32_t nbItems) +{ + FILE* ifile = fopen(ifileName, "r"); + // first scan to know dimensions + uint32_t nbValues = 0; //ID (or, more useful, real class number) comes first + char curChar = ' '; + while (curChar != '\n' && curChar != '\r') + { + curChar = fgetc(ifile); + if (curChar == ',') + { + nbValues++; + //skip potential consecutive commas (could be hard to spot) + while (curChar == ',') + curChar = fgetc(ifile); + ungetc(curChar, ifile); + } + } + while (curChar == '\n' || curChar == '\r') + curChar = fgetc(ifile); + ungetc(curChar, ifile); + uint32_t nbSeries = 1; //we already read 1st line + while (!feof(ifile)) + { + if ((curChar = fgetc(ifile)) == '\n') + nbSeries++; + } + fseek(ifile, 0, SEEK_SET); + + //write meta info first + uint32_t tsLength = 3*nbValues+4; + FILE* ofile = fopen(ofileName, "wb"); + Byte intBuffer[4]; + write_int(nbSeries, 4, intBuffer); + fwrite(intBuffer, 1, 4, ofile); + write_int(tsLength, 4, intBuffer); + fwrite(intBuffer, 1, 4, ofile); + Real rawPower; + int64_t ID; + + //DEBUG / TEST (ugly, TOFIX...) + double minrp = INFINITY, maxrp = -INFINITY; + + for (uint32_t i=0; i maxrp) + maxrp = rawPower; + + write_int((uint32_t)floor(10.0*(rawPower+0.0)), 3, intBuffer); //x10... +3... + fwrite(intBuffer, 1, 3, ofile); + while (curChar == ',') + curChar = fgetc(ifile); + ungetc(curChar, ifile); + } + } + fclose(ifile); + fclose(ofile); + + //DEBUG / TEST (ugly, TOFIX...) + printf("min / max values = %g %g\n",minrp,maxrp); +} diff --git a/code/src/stage1/TimeSeries/serialize.h b/code/src/stage1/TimeSeries/serialize.h new file mode 100644 index 0000000..af89cae --- /dev/null +++ b/code/src/stage1/TimeSeries/serialize.h @@ -0,0 +1,14 @@ +#ifndef PPAM_SERIALIZE_H +#define PPAM_SERIALIZE_H + +#include +#include +#include + +//main job: parse a text file into a binary compressed version +void serialize_byCols(const char* ifileName, const char* ofileName, uint32_t nbItems); + +//serialize from usual 'by-row' data +void serialize_byRows(const char* ifileName, const char* ofileName, uint32_t nbItems); + +#endif diff --git a/code/src/stage1/Util/rng.c b/code/src/stage1/Util/rng.c new file mode 100644 index 0000000..6cd4025 --- /dev/null +++ b/code/src/stage1/Util/rng.c @@ -0,0 +1,135 @@ +// ISAAC PRNG +// Initial code by Bob Jenkins, March 1996 - modified in 2008 +// Reference: http://burtleburtle.net/bob/rand/isaacafa.html +// Further slightly modified by Benjamin Auder, 2013 + +#include "Util/rng.h" +#include +#include + +// Internal state +static uint32_t mm[256]; +static uint32_t aa, bb, cc; + +// initialize the (pseudo-)random generator +void init_rng(int flag) +{ + // 'bootstrap' isaac with basic bad PRNG + srand(time(NULL)); + + aa = rand() & 0xffffffff; + bb = rand() & 0xffffffff; + cc = rand() & 0xffffffff; + + uint32_t a, b, c, d, e, f, g, h, i; + // The golden ratio: + a = b = c = d = e = f = g = h = 0x9e3779b9; + // Scramble it + for (i = 0; i < 4; ++i) + mix(a, b, c, d, e, f, g, h); + + // Fill in mm[] with messy stuff (the seed) + uint32_t seedArray[256]; + for (i = 0; i < 256; ++i) mm[i] = seedArray[i] = rand() & 0xffffffff; + for (i = 0; i < 256; i += 8) + { + if (flag) + { + // Use all the information in the seed + a += seedArray[i ]; + b += seedArray[i + 1]; + c += seedArray[i + 2]; + d += seedArray[i + 3]; + e += seedArray[i + 4]; + f += seedArray[i + 5]; + g += seedArray[i + 6]; + h += seedArray[i + 7]; + } + mix(a, b, c, d, e, f, g, h); + mm[i ] = a; + mm[i + 1] = b; + mm[i + 2] = c; + mm[i + 3] = d; + mm[i + 4] = e; + mm[i + 5] = f; + mm[i + 6] = g; + mm[i + 7] = h; + } + + if (flag) + { + // Do a second pass to make all of the seed affect all of mm + for (i = 0; i < 256; i += 8) + { + a += mm[i ]; + b += mm[i + 1]; + c += mm[i + 2]; + d += mm[i + 3]; + e += mm[i + 4]; + f += mm[i + 5]; + g += mm[i + 6]; + h += mm[i + 7]; + mix(a, b, c, d, e, f, g, h); + mm[i ] = a; + mm[i + 1] = b; + mm[i + 2] = c; + mm[i + 3] = d; + mm[i + 4] = e; + mm[i + 5] = f; + mm[i + 6] = g; + mm[i + 7] = h; + } + } +} + +// return a (pseudo-)random integer +uint32_t get_rand_int() +{ + // TODO: register variables ? (x,y,i) + uint32_t x, y; + static uint32_t i = 0; + + if (i == 0) + { + cc = cc + 1; // cc just gets incremented once per 256 results + bb = bb + cc; // then combined with bb + } + + x = mm[i]; + switch (i % 4) + { + case 0: + aa = aa^(aa << 13); + break; + case 1: + aa = aa^(aa >> 6); + break; + case 2: + aa = aa^(aa << 2); + break; + case 3: + aa = aa^(aa >> 16); + break; + } + + // NOTE: bits 2..9 are chosen from x but 10..17 are chosen + // from y. The only important thing here is that 2..9 and 10..17 + // don't overlap. 2..9 and 10..17 were then chosen for speed in + // the optimized version (rand.c) */ + // See http://burtleburtle.net/bob/rand/isaac.html + // for further explanations and analysis. + + aa = mm[(i + 128) % 256] + aa; + mm[i] = y = mm[(x >> 2) % 256] + aa + bb; + bb = mm[(y >> 10) % 256] + x; + + i = (i + 1) % 256; + + return bb; +} + +// return a (pseudo-)random real number in [0,1] +Real get_rand_real() +{ + return (Real) (INV_RANDMAX * (double) get_rand_int()); +} diff --git a/code/src/stage1/Util/rng.h b/code/src/stage1/Util/rng.h new file mode 100644 index 0000000..40822aa --- /dev/null +++ b/code/src/stage1/Util/rng.h @@ -0,0 +1,33 @@ +#ifndef PPAM_RNG_H +#define PPAM_RNG_H + +#include +#include "Util/types.h" + +#define INV_RANDMAX 2.3283064370807974E-10 // 1/0xffffffff + +// If (flag!=0), then use a random array to initialize mm[] +#define mix(a,b,c,d,e,f,g,h) \ +{ \ + a^=b<<11; d+=a; b+=c; \ + b^=c>>2; e+=b; c+=d; \ + c^=d<<8; f+=c; d+=e; \ + d^=e>>16; g+=d; e+=f; \ + e^=f<<10; h+=e; f+=g; \ + f^=g>>4; a+=f; g+=h; \ + g^=h<<8; b+=g; h+=a; \ + h^=a>>9; c+=h; a+=b; \ +} + +// initialize the (pseudo-)random generator +// NOTE: flag has only two states, active or not. +// flag != 0 --> "maximal randomness" +void init_rng(int flag); + +// return a (pseudo-)random integer +uint32_t get_rand_int(); + +// return a (pseudo-)random real number in [0,1] +Real get_rand_real(); + +#endif diff --git a/code/src/stage1/Util/types.h b/code/src/stage1/Util/types.h new file mode 100644 index 0000000..eaab1b0 --- /dev/null +++ b/code/src/stage1/Util/types.h @@ -0,0 +1,46 @@ +#ifndef PPAM_TYPES_H +#define PPAM_TYPES_H + +#include + +// types of work given to a slave +#define WORKTAG 1 +#define DIETAG 2 + +// 256 characters for file name should be enough +#define NCHAR_FNAME 256 + +typedef unsigned char Byte; + +typedef double Real; + +// Type to describe a job to be done in a node +//TODO: merge with packed version to avoid extra copy by MPI +typedef struct Work_t { + // "structural" parameters: + char* inputFileName; + uint32_t nbSeries; + uint32_t* ranks; + // clustering parameters [to be completed]: + uint32_t nbClusters; + uint32_t clustOnMedoids; //a boolean, but 1 byte storage would be inefficient + uint32_t p_for_dissims; +} Work_t; + +// Type returned by a worker (clusters labels and medoids) +//TODO: merge with packed version to avoid extra copy by MPI +typedef struct Result_t { + // parameters describing sizes + uint32_t nbClusters; + // informative parameters: + uint32_t* medoids_ID; + uint32_t* medoids_ranks; +} Result_t; + +// data structure to store a customer ID + [time-]serie +typedef struct PowerCurve { + uint32_t ID; + Real* values; +} PowerCurve; + +#endif diff --git a/code/src/stage1/Util/utils.c b/code/src/stage1/Util/utils.c new file mode 100644 index 0000000..3786eda --- /dev/null +++ b/code/src/stage1/Util/utils.c @@ -0,0 +1,117 @@ +#include "Util/utils.h" +#include +#include + +void free_work(Work_t* work) +{ + free(work->inputFileName); + free(work->ranks); + free(work); +} + +void free_result(Result_t* result) +{ + free(result->medoids_ID); + free(result->medoids_ranks); + free(result); +} + +char readInt(FILE* stream, int64_t* integer) +{ + *integer = 0; + char curChar = fgetc(stream); + int sign = (curChar == '-' ? -1 : 1); + while (curChar < '0' || curChar > '9') + curChar = fgetc(stream); + ungetc(curChar, stream); + while ((curChar = fgetc(stream)) >= '0' && curChar <= '9') + *integer = 10 * (*integer) + (int64_t) (curChar - '0'); + (*integer) *= sign; + return curChar; +} + +char readReal(FILE* stream, Real* real) +{ + int64_t integerPart; + char nextChar = readInt(stream, &integerPart); + int64_t fractionalPart = 0; + int countZeros = 0; + if (nextChar == '.') + { + //need to count zeros + while ((nextChar = fgetc(stream)) == '0') + countZeros++; + if (nextChar >= '0' && nextChar <= '9') + { + ungetc(nextChar, stream); + nextChar = readInt(stream, &fractionalPart); + } + } + int64_t exponent = 0; + if (nextChar == 'e' || nextChar == 'E') + nextChar = readInt(stream, &exponent); + int64_t divisorForFractional = pow(10, floor(log10(fractionalPart > 0 ? fractionalPart : 1))+1); + *real = ( (Real)integerPart + + (integerPart < 0 ? -1 : 1) * (Real)fractionalPart/(divisorForFractional*pow(10,countZeros)) ) + * pow(10,exponent); + return nextChar; +} + +// convert n-bytes binary integers to uint32_t +uint32_t bInt_to_uint(Byte* pInteger, size_t bytesCount) +{ + uint32_t integer = 0; + for (size_t i = 0; i < bytesCount; i++) + integer += ((uint32_t) (pInteger[i])) << (i << 3); + return integer; +} + +// serialize integers with a portable bytes order +void write_int(uint32_t integer, size_t bytesCount, Byte* buffer) +{ + Byte chunk; + // write from left to right, from least to most significative bit + for (size_t i = 0; i < bytesCount; i++) + { + chunk = (integer >> (i << 3)) & 0xFF; + buffer[i] = chunk; + } +} + +// Expected size of a Work message in bytes: +uint32_t get_packedWork_length(uint32_t nbSeriesInChunk) +{ + return NCHAR_FNAME + 4 + 4*nbSeriesInChunk + 4 + 4 + 4; +} + +// Expected size of a Result message in bytes: (uint32_t is on 4 bytes) +uint32_t get_packedResult_length(uint32_t nbClusters) +{ + return 4 + 4 * nbClusters + 4 * nbClusters; +} + +// get metadata: nbSeries +uint32_t get_nbSeries(const char* ifileName) +{ + FILE* ifile = fopen(ifileName, "rb"); + fseek(ifile, 0, SEEK_SET); + Byte binaryInt[4]; + size_t lengthRead = fread(binaryInt, 4, 1, ifile); + if (lengthRead != 1) + fprintf(stderr,"Warning: getting nbSeries from truncated binary file.\n"); + fclose(ifile); + return bInt_to_uint(binaryInt, 4); +} + +// get metadata: tsLength +uint32_t get_tsLength(const char* ifileName) +{ + FILE* ifile = fopen(ifileName, "rb"); + fseek(ifile, 4, SEEK_SET); + Byte binaryInt[4]; + size_t lengthRead = fread(binaryInt, 4, 1, ifile); + if (lengthRead != 1) + fprintf(stderr,"Warning: getting tsLength from truncated binary file.\n"); + fclose(ifile); + return bInt_to_uint(binaryInt, 4); +} diff --git a/code/src/stage1/Util/utils.h b/code/src/stage1/Util/utils.h new file mode 100644 index 0000000..2ed68aa --- /dev/null +++ b/code/src/stage1/Util/utils.h @@ -0,0 +1,36 @@ +#ifndef PPAM_UTIL_UTILS_H +#define PPAM_UTIL_UTILS_H + +#include "Util/types.h" +#include +#include + +#define CURVES_PER_REQUEST 50 + +void free_work(Work_t* work); + +void free_result(Result_t* result); + +char readInt(FILE* stream, int64_t* integer); + +char readReal(FILE* stream, Real* real); + +// convert n-bytes binary integers to uint32_t +uint32_t bInt_to_uint(Byte* pInteger, size_t bytesCount); + +// serialize integers with a portable bytes order +void write_int(uint32_t integer, size_t bytesCount, Byte* buffer); + +// Expected size of a Work message in bytes: +uint32_t get_packedWork_length(uint32_t nbSeriesInChunk); + +// Expected size of a Result message in bytes: (uint32_t is on 4 bytes) +uint32_t get_packedResult_length(uint32_t nbClusters); + +// get metadata: nbSeries +uint32_t get_nbSeries(const char* ifileName); + +// get metadata: tsLength +uint32_t get_tsLength(const char* ifileName); + +#endif diff --git a/code/src/stage1/main.c b/code/src/stage1/main.c new file mode 100644 index 0000000..bb4bd46 --- /dev/null +++ b/code/src/stage1/main.c @@ -0,0 +1,272 @@ +#include "MPI_Main/master.h" +#include "MPI_Main/slave.h" +#include "Util/utils.h" +#include "Util/rng.h" +#include +#include +#include +#include +#include "TimeSeries/serialize.h" +#include "TimeSeries/deserialize.h" +#include "Classification/getClass.h" +#include +#include +#include + +// serialize text file argv[1] into a binary file argv[2] +int serialize_main(int argc, char** argv) +{ + const char* ifileName = argv[1]; + const char* ofileName = argv[2]; + int byCols = atoi(argv[3]); + uint32_t nbItems = atoi(argv[4]); //==0 for "all series" + + if (byCols) + serialize_byCols(ifileName, ofileName, nbItems); + else + serialize_byRows(ifileName, ofileName, nbItems); + return 0; +} + +// deserialize binary file argv[1] into text file argv[2] +int deserialize_main(int argc, char** argv) +{ + const char* ifileName = argv[1]; + const char* ofileName = argv[2]; + Vector* vranks = vector_new(uint32_t); + //each token is at most two ints (a-b = from a to b included) + char* token = strtok(argv[3], ","); + int retrieveAll = 0; + uint32_t* ranks = NULL; + while (token) + { + //scan token to find middle position of '-' (if any) + int minusPos = -1; + int tokenLength = strlen(token); + //loop starts at index 1 because -N is allowed (and means 'everything') + for (int i=1; i totalNbSeries) + nbSeriesInChunk = totalNbSeries; + if (nbClusters > nbSeriesInChunk) + nbClusters = nbSeriesInChunk; + + double idealNbSeriesInChunk = 0.0; //unused if randomize == TRUE + if (!randomize) + { + // Adjust nbSeriesInChunk to avoid small remainders. + // Each node should have at least nbSeriesInChunk (as given to the function). + + // ==> We seek for the largest N such that (double)totalNbSeries / N >= nbSeriesInChunk + uint32_t N = totalNbSeries / nbSeriesInChunk + 1; + while ((double)totalNbSeries / N < nbSeriesInChunk) N--; + // At this point N>=1 is the solution + idealNbSeriesInChunk = (double)totalNbSeries / N; + nbSeriesInChunk = ceil(idealNbSeriesInChunk); + } + + // Initialize random generator + init_rng(1); + + // Find out my identity in the default communicator + int myrank; + MPI_Comm_rank(MPI_COMM_WORLD, &myrank); + + if (myrank == 0) + { + // create temporary folder for intermediate results + mkdir(".tmp", S_IRWXU | S_IRGRP | S_IXGRP | S_IROTH | S_IXOTH); + + master_run(ifileName, totalNbSeries, nbSeriesInChunk, idealNbSeriesInChunk, + tsLength, nbClusters, randomize, p_for_dissims); + } + + else + slave_run(myrank, nbSeriesInChunk, nbClusters); + + MPI_Finalize(); + return 0; +} + +//main classification task (using clustering result) +int classif_main(int argc, char** argv) +{ + const char* ifileName = argv[1]; + const char* xmlFileName = argv[2]; + + // 1] load and retrieve info from XML file + xmlDoc* doc = xmlReadFile(xmlFileName, NULL, 0); + + // Get the root element node + xmlNode* root_element = xmlDocGetRootElement(doc); + + uint32_t p_for_dissims = 0; + uint32_t* ranks = NULL; + uint32_t nbClusters = 0; + char* binFileName; + for (xmlNode* cur_node=root_element->children; cur_node; cur_node=cur_node->next) + { + if (cur_node->type != XML_ELEMENT_NODE) + continue; + if (!strcmp(cur_node->name,"p_for_dissims")) + p_for_dissims = atoi(cur_node->last->content); + else if (!strcmp(cur_node->name,"ranks")) + { + //first pass: find nbClusters + for (xmlNode* rankNode=cur_node->children; rankNode; rankNode=rankNode->next) + { + if (rankNode->type == XML_ELEMENT_NODE && !strcmp(rankNode->name,"rank")) + nbClusters++; + } + //second pass: fill ranks (not optimal, but not very important here) + ranks = (uint32_t*) malloc(nbClusters*sizeof(uint32_t)); + uint32_t index = 0; + for (xmlNode* rankNode=cur_node->children; rankNode; rankNode=rankNode->next) + { + if (rankNode->type == XML_ELEMENT_NODE && !strcmp(rankNode->name,"rank")) + ranks[index++] = atoi(rankNode->last->content) - 1; + } + } + else if (!strcmp(cur_node->name,"file")) + { + binFileName = (char*) malloc(strlen(cur_node->last->content)+1); + strcpy(binFileName, cur_node->last->content); + } + } + + xmlFreeDoc(doc); + xmlCleanupParser(); + + uint32_t tsLength1 = get_tsLength(ifileName); + uint32_t tsLength2 = get_tsLength(binFileName); + if (tsLength1 != tsLength2) + { + fprintf(stderr,"Warning: nbValues do not match. Data will be truncated.\n"); + if (tsLength1 > tsLength2) + tsLength1 = tsLength2; + } + uint32_t nbValues = (tsLength1 - 4) / 3; + + // 2] Classify all series by batches of CURVES_PER_REQUEST + uint32_t nbSeries = get_nbSeries(ifileName); + PowerCurve* medoids = deserialize(binFileName, NULL, ranks, nbClusters); + free(binFileName); + free(ranks); + ranks = (uint32_t*)malloc(CURVES_PER_REQUEST*sizeof(uint32_t)); + + uint32_t smallestNonProcessedIndex = 0; + double DISTOR = 0.0; + while (smallestNonProcessedIndex < nbSeries) + { + uint32_t lowerBound = smallestNonProcessedIndex; + uint32_t upperBound = smallestNonProcessedIndex + CURVES_PER_REQUEST; + if (upperBound > nbSeries) + upperBound = nbSeries; + for (uint32_t i=0; i + +// light, minimalist unit-testing "framework" + +#define LUT_ASSERT(condition) \ + do { \ + if ( !(condition) ) { \ + printf("Failure in file %s at line %i\n",__FILE__,__LINE__); \ + } \ + } while (0) + +#endif diff --git a/code/test/stage1/Algorithm/t.compute_coefficients.c b/code/test/stage1/Algorithm/t.compute_coefficients.c new file mode 100644 index 0000000..3ef3422 --- /dev/null +++ b/code/test/stage1/Algorithm/t.compute_coefficients.c @@ -0,0 +1,100 @@ +#include "Algorithm/compute_coefficients.h" +#include "Util/types.h" +#include "lut.h" +#include +#include + +void t_compute_coefficients1() +{ + uint32_t nbSeries = 3; + uint32_t nbValues = 10; + Real curves[] = + { + 1.0,2.0,3.0,4.0,1.0,2.0,3.0,4.0,1.0,2.0, + 3.0,4.0,1.0,2.0,3.0,4.0,1.0,1.0,2.0,3.0, + 3.0,1.0,0.0,8.0,2.0,4.0,2.0,0.0,3.0,3.0 + }; + + PowerCurve* powerCurves = (PowerCurve*)malloc(nbSeries*sizeof(PowerCurve)); + for (int i=0; i 10, 2^3 < 10 + Real* reducedCoordinates = (Real*)malloc(nbSeries * nbReducedCoordinates * sizeof(Real)); + Real epsilon = 1e-4; + compute_coefficients(powerCurves, nbSeries, nbValues, reducedCoordinates, 0, nbReducedCoordinates); + free(powerCurves); + + //~ LUT_ASSERT(fabs(reducedCoordinates[0] - 1.2829311) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[1] - 2.8197073) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[2] - 2.7653092) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[3] - 0.5390868) < epsilon); +//~ + //~ LUT_ASSERT(fabs(reducedCoordinates[4] - 1.433019) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[5] - 3.319643) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[6] - 2.078569) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[7] - 1.248209) < epsilon); +//~ + //~ LUT_ASSERT(fabs(reducedCoordinates[8] - 1.4532363) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[9] - 6.1433038) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[10] - 5.2052217) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[11] - 0.3447528) < epsilon); + + free(reducedCoordinates); +} + +void t_compute_coefficients2() +{ + uint32_t nbSeries = 3; + uint32_t nbValues = 20; + Real curves[] = + { + 0.07291223,0.3468863,0.8648239,0.2348877,0.4315312,0.7036144,0.2431289,0.01040031,0.1178515,0.03080914,0.3673594,0.3738354,0.6695186,0.9140619,0.3102869,0.6374112,0.843919,0.2661967,0.1571974,0.7748992, + 0.8818654,0.6703627,0.8847847,0.03184918,0.997876,0.7612137,0.6387965,0.296034,0.5018912,0.7942868,0.1095461,0.3727642,0.2351644,0.5057783,0.7287164,0.340264,0.08904832,0.5050351,0.1371493,0.8821361, + 0.1844872,0.5861217,0.7114864,0.8779052,0.5999996,0.2707162,0.9586406,0.6902478,0.2514943,0.8113025,0.2820882,0.5661663,0.9571422,0.6838519,0.998652,0.6126693,0.9178886,0.7810725,0.7895782,0.181061 + }; + + PowerCurve* powerCurves = (PowerCurve*)malloc(nbSeries*sizeof(PowerCurve)); + for (int i=0; i 20, 2^4 < 20 + Real* reducedCoordinates = (Real*)malloc(nbSeries * nbReducedCoordinates * sizeof(Real)); + Real epsilon = 1e-4; + compute_coefficients(powerCurves, nbSeries, nbValues, reducedCoordinates, 0, nbReducedCoordinates); + free(powerCurves); + + //~ LUT_ASSERT(fabs(reducedCoordinates[0] - 1.2829311) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[1] - 2.8197073) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[2] - 2.7653092) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[3] - 0.5390868) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[4] - 0.5390868) < epsilon); +//~ + //~ LUT_ASSERT(fabs(reducedCoordinates[5] - 3.319643) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[6] - 2.078569) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[7] - 1.248209) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[8] - 1.4532363) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[9] - 6.1433038) < epsilon); +//~ + //~ LUT_ASSERT(fabs(reducedCoordinates[10] - 5.2052217) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[11] - 0.3447528) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[12] - 0.3447528) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[13] - 1.248209) < epsilon); + //~ LUT_ASSERT(fabs(reducedCoordinates[14] - 1.248209) < epsilon); + + free(reducedCoordinates); +} diff --git a/code/test/stage1/Algorithm/t.pam.c b/code/test/stage1/Algorithm/t.pam.c new file mode 100644 index 0000000..06f1fe5 --- /dev/null +++ b/code/test/stage1/Algorithm/t.pam.c @@ -0,0 +1,541 @@ +#include "Algorithm/pam.h" +#include +#include "Util/types.h" +#include "lut.h" +#include + +// 3 "regular flowers", dissimilarity = euclidian +void t_pam1() +{ + uint32_t nbClusters = 3; + Result_t* result = (Result_t*)malloc(sizeof(Result_t)); + result->medoids_ranks = (uint32_t*)malloc(nbClusters*sizeof(uint32_t)); + result->nbClusters = nbClusters; + +// double M[] = +// { +// -4,4, +// -3,5, +// -5,5, +// -5,3, +// -3,3, +// 0,0, +// 1,1, +// -1,1, +// -1,-1, +// 1,-1, +// 4,-4, +// 5,-3, +// 3,-3, +// 3,-5, +// 5,-5 +// }; + + uint32_t nbSeries = 15; + Real dissimilarities[] = + { + 0,1.414214,1.414214,1.414214,1.414214,5.656854,5.830952,4.242641,5.830952,7.071068,11.31371,11.40175,9.899495,11.40175,12.72792, + 1.414214,0,2,2.828427,2,5.830952,5.656854,4.472136,6.324555,7.211103,11.40175,11.31371,10,11.6619,12.80625, + 1.414214,2,0,2,2.828427,7.071068,7.211103,5.656854,7.211103,8.485281,12.72792,12.80625,11.31371,12.80625,14.14214, + 1.414214,2.828427,2,0,2,5.830952,6.324555,4.472136,5.656854,7.211103,11.40175,11.6619,10,11.31371,12.80625, + 1.414214,2,2.828427,2,0,4.242641,4.472136,2.828427,4.472136,5.656854,9.899495,10,8.485281,10,11.31371, + 5.656854,5.830952,7.071068,5.830952,4.242641,0,1.414214,1.414214,1.414214,1.414214,5.656854,5.830952,4.242641,5.830952,7.071068, + 5.830952,5.656854,7.211103,6.324555,4.472136,1.414214,0,2,2.828427,2,5.830952,5.656854,4.472136,6.324555,7.211103, + 4.242641,4.472136,5.656854,4.472136,2.828427,1.414214,2,0,2,2.828427,7.071068,7.211103,5.656854,7.211103,8.485281, + 5.830952,6.324555,7.211103,5.656854,4.472136,1.414214,2.828427,2,0,2,5.830952,6.324555,4.472136,5.656854,7.211103, + 7.071068,7.211103,8.485281,7.211103,5.656854,1.414214,2,2.828427,2,0,4.242641,4.472136,2.828427,4.472136,5.656854, + 11.31371,11.40175,12.72792,11.40175,9.899495,5.656854,5.830952,7.071068,5.830952,4.242641,0,1.414214,1.414214,1.414214,1.414214, + 11.40175,11.31371,12.80625,11.6619,10,5.830952,5.656854,7.211103,6.324555,4.472136,1.414214,0,2,2.828427,2, + 9.899495,10,11.31371,10,8.485281,4.242641,4.472136,5.656854,4.472136,2.828427,1.414214,2,0,2,2.828427, + 11.40175,11.6619,12.80625,11.31371,10,5.830952,6.324555,7.211103,5.656854,4.472136,1.414214,2.828427,2,0,2, + 12.72792,12.80625,14.14214,12.80625,11.31371,7.071068,7.211103,8.485281,7.211103,5.656854,1.414214,2,2.828427,2,0 + }; + + pam(dissimilarities, nbSeries, nbClusters, 0, NSTART, MAXITER, result); + // check that centers (medoids_ranks) span {0, 5, 10} + uint32_t* ctrs = result->medoids_ranks; + LUT_ASSERT(ctrs[0] != ctrs[1] && ctrs[1] != ctrs[2] && ctrs[2] != ctrs[0]); + LUT_ASSERT(ctrs[0] == 0 || ctrs[1] == 0 || ctrs[2] == 0); + LUT_ASSERT(ctrs[0] == 5 || ctrs[1] == 5 || ctrs[2] == 5); + LUT_ASSERT(ctrs[0] == 10 || ctrs[1] == 10 || ctrs[2] == 10); + + free(result->medoids_ranks); + free(result); +} + +// 4 well-separated Gaussian clusters, dissimilarity = euclidian +void t_pam2() +{ + uint32_t nbClusters = 4; + Result_t* result = (Result_t*)malloc(sizeof(Result_t)); + result->medoids_ranks = (uint32_t*)malloc(nbClusters*sizeof(uint32_t)); + result->nbClusters = nbClusters; + +// double M[] = +// { +// -4.450371,-4.543001, +// -4.711869,-4.961091, +// -5.083656,-4.674564, +// -3.586104,-5.887045, +// -3.185154,-3.541619, +// -5.033892,-4.596002, +// -3.004485,-5.171559, +// -4.528517,-4.003823, +// -3.721287,-5.419952, +// -4.121808,-4.629665, +// -4.05129,-4.85515, +// -4.035312,-5.660147, +// -3.290654,-4.240134, +// -1.902941,-4.663231, +// -3.070627,-3.537133, +// -5.799731,-6.077648, +// -2.999374,-4.396087, +// -3.826953,-3.367948, +// -6.482025,-2.427264, +// -5.412339,-3.98535, +// -3.37746,-3.841064, +// -4.712918,-3.058541, +// -2.440538,-4.408247, +// -3.116167,-6.130969, +// -4.604153,-3.708026, +// -3.472353,-3.137196, +// -3.843901,-3.447817, +// -3.340786,-2.312214, +// -4.328582,-4.133865, +// -2.906439,-5.249392, +// -3.55544,-4.535076, +// -4.346427,-4.156633, +// -2.092725,-4.128729, +// -5.015867,-5.179254, +// -4.543845,-2.916083, +// -4.145448,-5.715884, +// -4.390567,-2.307922, +// -3.003025,-5.588462, +// -2.844272,-4.292232, +// -3.51101,-5.665364, +// -4.669003,-3.983029, +// -4.040262,-3.338078, +// -4.002328,-3.652771, +// -3.732904,-6.027206, +// -4.094534,-3.500277, +// -3.587201,-4.003284, +// -4.816506,-4.769324, +// -3.062788,-3.027322, +// -2.899946,-6.049017, +// -4.912952,-4.773183, +// -1.916896,-0.009493825, +// 2.634858,-0.4243543, +// 0.3020768,1.64798, +// 1.319387,0.4383175, +// -0.001776739,-0.3686283, +// -0.3792117,-0.614869, +// -0.7154037,-0.6211681, +// -1.422143,0.2300399, +// 0.1448215,0.2528107, +// -0.665172,-1.395703, +// 1.447993,0.2860408, +// -0.3756387,-0.06096208, +// -1.001823,-0.2453904, +// -0.05310829,-2.201463, +// -0.6424461,-0.4816693, +// 0.9660234,-0.6773616, +// 0.3242067,0.6265039, +// -1.54016,0.3410867, +// -0.151697,0.9412011, +// -0.1419021,1.402804, +// 0.6756108,-2.120431, +// -0.4478024,-0.7631725, +// 0.640236,1.548211, +// 1.094596,1.688888, +// -0.4296057,-0.3780608, +// -0.3501862,-0.4554224, +// -0.7654625,-0.5809421, +// -0.3401964,-0.455078, +// 1.656617,-0.7471582, +// 1.436579,-0.3640174, +// 0.2339464,0.3475537, +// 0.08126267,1.06486, +// 0.2915553,-0.236505, +// 0.4851901,-1.010106, +// -0.07553644,-2.15231, +// -0.4303397,0.9054603, +// 0.004220171,1.033742, +// -0.3602884,1.916468, +// -0.4638079,-1.552088, +// -1.60057,-1.106041, +// -0.7134006,-1.567929, +// -1.337527,-3.620209, +// -0.1994646,-0.1307016, +// -0.2420102,-0.1121753, +// -0.536283,0.03036439, +// 2.467503,0.3452919, +// -0.3630185,1.174053, +// 0.1055285,-0.2248235, +// 1.267688,-0.3149153, +// -1.620448,-0.6095385, +// 5.14672,4.479654, +// 4.129114,5.259524, +// 5.365162,3.888272, +// 3.454389,2.743306, +// 2.861091,2.602548, +// 3.93366,4.617158, +// 4.57284,3.714136, +// 4.092174,3.671644, +// 4.50261,1.516262, +// 4.317581,3.683757, +// 4.259846,2.438663, +// 4.119361,6.446651, +// 5.691461,3.578193, +// 3.861858,3.574928, +// 3.537764,4.3348, +// 2.586984,4.144694, +// 4.565765,3.690908, +// 4.949011,3.678565, +// 4.21298,4.516202, +// 4.258206,3.375235, +// 3.862015,3.229653, +// 2.276514,3.281311, +// 3.461244,5.803409, +// 5.741595,4.279209, +// 3.847961,3.979272, +// 2.904032,5.174558, +// 4.973815,3.879027, +// 2.342122,2.615265, +// 2.576959,5.048676, +// 4.996508,3.129088, +// 4.908488,5.593342, +// 4.494416,4.222817, +// 6.292328,2.357233, +// 3.34451,3.270198, +// 2.269291,3.963629, +// 4.25654,3.247725, +// 2.894098,3.785049, +// 2.346439,4.385733, +// 5.85847,6.073889, +// 1.42734,4.093241, +// 4.07797,2.895063, +// 4.444542,2.00364, +// 5.394777,5.063008, +// 2.639821,4.398103, +// 4.273526,2.889649, +// 3.477858,5.404986, +// 5.729747,3.629496, +// 3.810896,4.770437, +// 3.71945,5.236858, +// 3.833841,3.280717, +// 4.152189,-5.99135, +// 3.19188,-5.967943, +// 5.042668,-6.489929, +// 5.237402,-4.916319, +// 5.335625,-3.950791, +// 4.027703,-4.435844, +// 3.654064,-5.122268, +// 5.109319,-3.817966, +// 5.21631,-4.550999, +// 4.518432,-6.290373, +// 4.224753,-3.722504, +// 4.315041,-4.396765, +// 5.56141,-4.3007, +// 4.428661,-3.642649, +// 3.759849,-5.697695, +// 3.478439,-5.001031, +// 4.693304,-5.403166, +// 4.822672,-3.103692, +// 4.885982,-3.900518, +// 5.715825,-4.795573, +// 6.714095,-5.538454, +// 4.872663,-6.734268, +// 5.04218,-6.48153, +// 5.145617,-4.279071, +// 3.550852,-5.84931, +// 4.806485,-4.733755, +// 4.280439,-4.219329, +// 4.628427,-5.355216, +// 4.133676,-5.390665, +// 4.283339,-4.694953, +// 5.662802,-4.493008, +// 3.031885,-4.058671, +// 4.413487,-4.646903, +// 6.535346,-4.918966, +// 3.408803,-3.448405, +// 4.701184,-6.628794, +// 5.478372,-4.380599, +// 5.902022,-6.036273, +// 4.379025,-2.736512, +// 4.590189,-3.72093, +// 4.625894,-5.511869, +// 5.09324,-4.854936, +// 5.402295,-7.326092, +// 7.355636,-3.345965, +// 4.646836,-5.001939, +// 5.450266,-7.242952, +// 4.197233,-5.91857, +// 3.848639,-4.45381, +// 5.578822,-4.595297, +// 5.741669,-4.29464 +// }; + + uint32_t nbSeries = 200; + Real dissimilarities[] = + { + 0,0.4931329,0.6468061,1.59794,1.61355,0.5859224,1.576601,0.5448115,1.140442,0.3398006,0.5066584,1.191759,1.198613,2.550266,1.707473,2.043505,1.458416,1.330188,2.933251,1.111916,1.282129,1.507499,2.014345,2.074064,0.8490186,1.712545,1.251893,2.491503,0.4268785,1.697855,0.8949661,0.4001053,2.393766,0.8512363,1.629601,1.211871,2.235879,1.785441,1.625559,1.463591,0.6011401,1.272803,0.9966205,1.648521,1.101768,1.018016,0.4304379,2.054914,2.161458,0.5166866,5.193379,8.195347,7.804742,7.622575,6.100441,5.657257,5.415788,5.652618,6.641958,4.922725,7.623015,6.057402,5.510167,4.981839,5.567289,6.654359,7.037072,5.685389,6.968147,7.342718,5.669615,5.505239,7.938334,8.341648,5.789066,5.78963,5.410773,5.796952,7.190531,7.219424,6.772028,7.20998,6.405605,6.069688,4.985437,6.770996,7.137468,7.64549,4.983799,4.464758,4.77661,3.246744,6.126875,6.110853,6.019614,8.470679,7.027884,6.277171,7.111463,4.845678,13.17241,13.02678,12.93952,10.7506,10.22332,12.41775,12.23105,11.85139,10.81067,12.02317,11.16295,13.93602,12.99271,11.61869,11.9426,11.18036,12.21016,12.4877,12.53486,11.77021,11.38024,10.31847,13.02466,13.47989,11.89502,12.1868,12.63906,9.868066,11.89049,12.16982,13.79615,12.52393,12.76788,11.03659,10.84051,11.68357,11.10395,11.22136,14.79833,10.44663,11.31625,11.04436,13.75508,11.41114,11.46083,12.72082,13.05467,12.44944,12.7433,11.39468,8.723632,7.773961,9.690631,9.694963,9.803899,8.478751,8.125111,9.587145,9.666684,9.137436,8.71384,8.766631,10.01471,8.924564,8.291021,7.942029,9.184045,9.384079,9.358433,10.16933,11.20876,9.577088,9.688468,9.599617,8.107158,9.258822,8.736808,9.115057,8.625799,8.735032,10.1133,7.497916,8.864467,10.99215,7.935033,9.38624,9.930072,10.45954,9.012305,9.077859,9.127831,9.548708,10.23819,11.86654,9.108776,10.26218,8.756327,8.299489,10.02933,10.19507, + 0.4931329,0,0.4693864,1.457648,2.084649,0.4868151,1.720307,0.9746689,1.091699,0.6767681,0.6690197,0.9728352,1.593622,2.824676,2.172863,1.558892,1.803294,1.82241,3.090911,1.201136,1.742156,1.90255,2.337644,1.978605,1.257686,2.20522,1.744525,2.982686,0.9117083,1.828303,1.232402,0.8835719,2.748225,0.3741792,2.051899,0.9436867,2.672553,1.820368,1.983757,1.392143,0.9790013,1.756481,1.488338,1.447402,1.5859,1.477251,0.2184572,2.541443,2.113444,0.2752164,5.685964,8.634603,8.29575,8.095039,6.578425,6.136902,5.899717,6.145741,7.125462,5.393306,8.091742,6.543253,6.000189,5.414757,6.051894,7.11258,7.522185,6.178416,7.458701,7.834778,6.090508,5.98371,8.427101,8.828207,6.272315,6.270991,5.895746,6.27819,7.636415,7.677011,7.255535,7.699752,6.881567,6.528377,5.420777,7.262776,7.62755,8.138616,5.446772,4.953948,5.244168,3.630998,6.610178,6.594817,6.507699,8.927546,7.520139,6.755705,7.572453,5.337873,13.64989,13.51384,13.41111,11.227,10.70319,12.90302,12.7069,12.33026,11.26334,12.50057,11.62962,14.42661,13.45915,12.09845,12.4286,11.66999,12.68588,12.96056,13.01814,12.24568,11.85748,10.80623,13.5157,13.95199,12.37743,12.67806,13.11336,10.35181,12.38234,12.63739,14.28101,13.00384,13.21553,11.51778,11.33081,12.158,11.59076,11.71251,15.2808,10.93942,11.789,11.50423,14.23471,11.90134,11.93195,13.21087,13.5213,12.936,13.23198,11.87251,8.923729,7.967622,9.873618,9.949371,10.09816,8.755341,8.367485,9.88749,9.936645,9.325526,9.022046,9.044532,10.29448,9.235127,8.50368,8.190405,9.415557,9.713773,9.65627,10.42901,11.44054,9.747174,9.871838,9.881052,8.310324,9.521068,9.02285,9.348607,8.855969,8.999144,10.38522,7.796159,9.130763,11.24729,8.260358,9.559644,10.20676,10.66821,9.359118,9.384363,9.353992,9.805684,10.38699,12.17511,9.358794,10.41518,8.960405,8.575525,10.29719,10.47476, + 0.6468061,0.4693864,0,1.926856,2.210854,0.09299721,2.137745,0.8706733,1.55295,0.9628953,1.048041,1.438888,1.844881,3.180735,2.312149,1.575249,2.102803,1.812883,2.646846,0.7635759,1.898901,1.658004,2.6565,2.447882,1.078943,2.22706,1.744104,2.935692,0.9287043,2.251821,1.534568,0.9009759,3.040329,0.5092227,1.83947,1.401635,2.466043,2.272495,2.271788,1.858736,0.8063235,1.695542,1.487726,1.911588,1.535353,1.64012,0.2834581,2.607166,2.580254,0.1971432,5.638373,8.811341,8.30546,8.193932,6.660824,6.213929,5.959165,6.120606,7.184427,5.502175,8.201831,6.591718,6.0232,5.60559,6.107758,7.250948,7.572734,6.1411,7.474024,7.832964,6.300218,6.065486,8.454931,8.86929,6.334044,6.34089,5.950171,6.34858,7.801012,7.816282,7.314271,7.721228,6.9706,6.666355,5.607408,7.265674,7.646649,8.108754,5.576097,4.986607,5.361932,3.891677,6.670982,6.652587,6.543313,9.067467,7.516031,6.835775,7.703642,5.340247,13.72808,13.54848,13.50925,11.31031,10.77383,12.9479,12.79133,12.40383,11.41152,12.57954,11.74304,14.43527,13.57244,12.16866,12.46986,11.68837,12.77076,13.05485,13.07278,12.33165,11.93741,10.83827,13.52047,14.04835,12.43634,12.68102,13.2029,10.40595,12.37847,12.74781,14.32734,13.07298,13.37382,11.58245,11.34391,12.24753,11.62797,11.71731,15.33817,10.92096,11.88422,11.6355,14.30447,11.91492,12.03221,13.22486,13.63404,12.97386,13.25636,11.95024,9.329242,8.375997,10.28776,10.32389,10.44439,9.114485,8.749182,10.2289,10.30071,9.73709,9.356971,9.402801,10.65163,9.568125,8.902492,8.568317,9.804071,10.0301,9.999641,10.80016,11.82934,10.16714,10.2858,10.23692,8.714055,9.890318,9.375154,9.735905,9.245107,9.367017,10.74799,8.138878,9.497183,11.62157,8.580519,9.978081,10.56612,11.06975,9.659108,9.720735,9.745586,10.17849,10.816,12.51004,9.735998,10.84251,9.363891,8.935022,10.66277,10.83199, + 1.59794,1.457648,1.926856,0,2.379451,1.939815,0.9220632,2.105865,0.4862611,1.366742,1.131903,0.5032602,1.673203,2.081047,2.405786,2.221818,1.602251,2.530584,4.511812,2.636585,2.056592,3.044691,1.870605,0.5294707,2.405109,2.752201,2.452814,3.583238,1.903921,0.9319575,1.352317,1.890084,2.306915,1.595365,3.12152,0.5849461,3.668417,0.6550819,1.758904,0.2340549,2.190422,2.58911,2.272713,0.2029666,2.44032,1.883761,1.662285,2.907211,0.7050159,1.732402,6.109981,8.27897,8.479065,8.004627,6.580298,6.170899,5.997531,6.488563,7.184541,5.357611,7.965496,6.652092,6.205383,5.105445,6.154933,6.918285,7.59716,6.555571,7.643304,8.062532,5.68767,6.008577,8.552483,8.905262,6.349203,6.322475,6.009222,6.327889,7.341972,7.465331,7.31184,7.859933,6.85309,6.352949,5.125654,7.489791,7.796648,8.443974,5.342339,5.176905,5.187214,3.192905,6.678683,6.673236,6.657112,8.688393,7.761918,6.759356,7.389717,5.631685,13.55473,13.5562,13.25451,11.13784,10.66018,12.9184,12.59964,12.26069,10.96523,12.41243,11.44012,14.54284,13.25383,12.04164,12.45936,11.77891,12.57737,12.81987,13.00205,12.13767,11.77237,10.88251,13.65034,13.79705,12.35352,12.82501,12.98647,10.365,12.55282,12.44797,14.28136,12.94234,12.86668,11.48427,11.45956,12.03956,11.64227,11.86276,15.24021,11.16874,11.65605,11.25852,14.16192,12.02275,11.78152,13.31952,13.31727,12.97295,13.30836,11.79421,7.738995,6.778467,8.649808,8.876742,9.129421,7.750873,7.280447,8.938202,8.90323,8.114565,8.105228,8.040461,9.284045,8.323086,7.348392,7.119887,8.293536,8.857458,8.701869,9.365746,10.3061,8.501089,8.648739,8.878543,7.137055,8.471459,8.041379,8.231729,7.735722,7.959222,9.353373,6.865911,8.095147,10.16764,7.407812,8.320416,9.188803,9.489299,8.565578,8.458357,8.220563,8.740495,9.102866,11.23293,8.280381,9.13753,7.783401,7.571628,9.255511,9.462721, + 1.61355,2.084649,2.210854,2.379451,0,2.128275,1.639922,1.420654,1.95335,1.435676,1.573391,2.282747,0.7064372,1.703551,0.1146144,3.642453,0.8744314,0.6648819,3.480107,2.270958,0.3558779,1.602319,1.142583,2.590269,1.428724,0.4960257,0.6653927,1.239216,1.287705,1.730367,1.060222,1.314078,1.240201,2.45629,1.495773,2.376887,1.724828,2.054931,0.8243909,2.148598,1.548113,0.8789991,0.8246995,2.545225,0.9103202,0.6121904,2.041708,0.5286538,2.523567,2.121801,3.752917,6.602262,6.252416,6.010889,4.494636,4.054525,3.824748,4.163366,5.048409,3.309874,6.009744,4.473069,3.953739,3.406718,3.978524,5.043435,5.448748,4.2168,5.412719,5.805919,4.114034,3.900366,6.3671,6.758287,4.195372,4.190662,3.823678,4.19768,5.590327,5.608704,5.178408,5.647045,4.797007,4.458697,3.405862,5.231206,5.577278,6.145777,3.371047,2.905675,3.16307,1.849297,4.533067,4.519201,4.446974,6.860073,5.495635,4.672228,5.499037,3.323462,11.56551,11.44372,11.32745,9.142418,8.620201,10.82789,10.62226,10.24649,9.202384,10.41619,9.54944,12.37423,11.37919,10.01527,10.35546,9.612335,10.60123,10.87638,10.93896,10.16103,9.77306,8.73969,11.46753,11.86812,10.29701,10.63249,11.02881,8.273934,10.34384,10.55642,12.20469,10.92073,11.16329,9.435961,9.277915,10.07343,9.520365,9.66651,13.20019,8.919988,9.704836,9.431975,12.15133,9.84731,9.848508,11.15515,11.44117,10.86439,11.16849,9.788286,7.735488,6.82302,8.740113,8.534005,8.530598,7.268076,7.019498,8.299074,8.461881,8.179296,7.412114,7.548787,8.779441,7.614484,7.271982,6.821536,8.095397,8.019791,8.079111,8.988873,10.09864,8.667261,8.736824,8.363347,7.120338,8.080067,7.49629,8.021295,7.54879,7.557021,8.898958,6.238503,7.678606,9.817596,6.594615,8.46906,8.704055,9.423379,7.606904,7.777409,8.055703,8.381921,9.384376,10.54261,7.966969,9.39523,7.755613,7.092695,8.827089,8.958527, + 0.5859224,0.4868151,0.09299721,1.939815,2.128275,0,2.109445,0.7785106,1.549783,0.9127046,1.0162,1.459303,1.779191,3.131673,2.230608,1.667869,2.044316,1.721864,2.607779,0.7184134,1.820356,1.570608,2.600141,2.456378,0.9864969,2.136941,1.653604,2.842937,0.8432271,2.225527,1.479706,0.8158746,2.978054,0.5835309,1.749935,1.429499,2.3768,2.260397,2.210591,1.860834,0.7133578,1.603019,1.397787,1.934144,1.443262,1.563403,0.2780235,2.519128,2.581662,0.2145216,5.545423,8.729969,8.213395,8.106079,6.572128,6.124987,5.869296,6.027886,7.094368,5.415499,8.11475,6.501223,5.931728,5.526483,6.017684,7.166221,7.482231,6.048223,7.38217,7.740622,6.223091,5.976855,8.363436,8.778279,6.244235,6.251519,5.86005,6.259235,7.718582,7.731538,7.224185,7.629558,6.882267,6.58171,5.527831,7.173477,7.554905,8.015911,5.491,4.895664,5.275971,3.822994,6.581078,6.562532,6.452267,8.982611,7.42365,6.746913,7.618241,5.248189,13.63863,13.45705,13.421,11.22125,10.68409,12.85688,12.70227,12.31418,11.32716,12.49017,11.6559,14.34302,13.4852,12.07884,12.37871,11.59644,12.68173,12.96637,12.98218,12.2427,11.84812,10.74682,13.42814,13.95996,12.34596,12.58866,13.11413,10.31542,12.28596,12.66041,14.23635,12.98307,13.29025,11.49238,11.25183,12.15879,11.53668,11.62501,15.24763,10.82822,11.79585,11.54972,14.21456,11.82285,11.94416,13.13277,13.54676,12.88256,13.16458,11.86083,9.291451,8.339397,10.253,10.27629,10.38957,9.063009,8.70388,10.17301,10.2503,9.701431,9.299758,9.351055,10.59942,9.510456,8.862483,8.521961,9.760628,9.968893,9.944223,10.75157,11.78573,10.13469,10.25097,10.18444,8.675748,9.841341,9.321944,9.6921,9.201945,9.317756,10.69719,8.083655,9.447516,11.57374,8.520332,9.945046,10.51447,11.03035,9.594826,9.663781,9.703106,10.13044,10.78737,12.45243,9.689235,10.81314,9.325388,8.883668,10.61271,10.77977, + 1.576601,1.720307,2.137745,0.9220632,1.639922,2.109445,0,1.919969,0.7586199,1.241797,1.093579,1.140755,0.9743947,1.213176,1.635764,2.938435,0.7754885,1.982288,4.429948,2.684185,1.381784,2.717276,0.9490417,0.9658891,2.168148,2.087471,1.917265,2.879053,1.682273,0.1251837,0.8418205,1.682523,1.385208,2.011396,2.730714,1.264154,3.181453,0.4169061,0.8938034,0.707397,2.045294,2.105822,1.817253,1.123711,1.995342,1.305535,1.856128,2.145029,0.8836633,1.949603,5.275392,7.371441,7.578882,7.082837,5.664309,5.258848,5.093717,5.628594,6.272313,4.441787,7.043434,5.747089,5.317687,4.187134,5.251123,5.996895,6.685635,5.703815,6.745683,7.170539,4.780427,5.096126,7.64456,7.991757,5.441289,5.411769,5.107542,5.416976,6.4266,6.544884,6.399066,6.958071,5.934529,5.430978,4.206495,6.599726,6.896236,7.565177,4.422173,4.301095,4.270271,2.277155,5.768742,5.764428,5.75778,7.770347,6.873436,5.843148,6.468265,4.767346,12.63282,12.63708,12.33416,10.21578,9.738672,11.9982,11.67782,11.33864,10.05403,11.4904,10.52074,13.62835,12.33603,11.1197,11.54001,10.86541,11.65556,11.89886,12.08075,11.21581,10.85031,9.966943,12.73796,12.87676,11.43214,11.91439,12.06509,9.445678,11.64499,11.52895,13.36032,12.02031,11.963,10.56281,10.54819,11.11786,10.72446,10.95327,14.31824,10.27023,10.7346,10.3427,13.23986,11.1102,10.86059,12.405,12.39941,12.05374,12.39139,10.87215,7.203474,6.247333,8.154433,8.245838,8.428981,7.070569,6.658732,8.225936,8.244184,7.605657,7.373035,7.360418,8.61005,7.588756,6.784765,6.485167,7.701273,8.095706,7.992184,8.728412,9.725503,8.030661,8.152597,8.198823,6.59028,7.82323,7.346895,7.635121,7.141523,7.303392,8.693808,6.138101,7.436503,9.543174,6.640747,7.842249,8.519653,8.948385,7.774681,7.731972,7.637964,8.103913,8.678477,10.51974,7.653201,8.704797,7.240357,6.890607,8.60263,8.790005, + 0.5448115,0.9746689,0.8706733,2.105865,1.420654,0.7785106,1.919969,0,1.630044,0.7463846,0.9759627,1.728196,1.260217,2.707115,1.530766,2.432434,1.578654,0.946852,2.510325,0.8840147,1.162507,0.9631003,2.126785,2.553328,0.3053144,1.366209,0.8819535,2.066941,0.2385051,2.045135,1.108651,0.2377133,2.438992,1.272457,1.087849,1.754392,1.701503,2.199592,1.70876,1.948342,0.1420172,0.8255961,0.6325443,2.174184,0.6647552,0.9413163,0.817881,1.761226,2.614395,0.8600611,4.77234,8.007904,7.434885,7.343746,5.805688,5.357401,5.097273,5.251205,6.321315,4.661301,7.356739,5.726478,5.153968,4.824706,5.244723,6.42303,6.707373,5.273378,6.603773,6.962328,5.534448,5.210955,7.585584,8.001647,5.472406,5.481751,5.086914,5.489592,6.990118,6.987886,6.451011,6.851395,6.117662,5.839486,4.822565,6.395008,6.776634,7.24044,4.74688,4.119468,4.526444,3.213966,5.808766,5.789565,5.675615,8.237663,6.645433,5.979567,6.870519,4.469679,12.86777,12.67928,12.65583,10.4523,9.912137,12.08014,11.93321,11.54249,10.58455,11.71974,10.89683,13.56459,12.72537,11.30645,11.60162,10.81798,11.9128,12.20011,12.20674,11.47419,11.0781,9.969033,12.64983,13.19408,11.57131,11.8104,12.3464,9.540336,11.50806,11.89977,13.45967,12.21028,12.55204,10.71895,10.47332,11.39132,10.75926,10.84664,14.47238,10.0516,11.03024,10.7984,13.4417,11.04434,11.18016,12.35426,12.78669,12.1051,12.38625,11.09025,8.905331,7.966323,9.888797,9.808456,9.864285,8.567119,8.258665,9.639627,9.760177,9.33143,8.75779,8.852283,10.09429,8.964456,8.459681,8.068815,9.327387,9.394412,9.415065,10.27489,11.34687,9.789663,9.886216,9.678049,8.287462,9.363496,8.811592,9.256127,8.772509,8.838918,10.20305,7.560601,8.965098,11.10165,7.956729,9.59572,10.01398,10.62671,8.997243,9.123093,9.277793,9.659327,10.4718,11.90235,9.229482,10.49133,8.933363,8.389233,10.12463,10.2743, + 1.140442,1.091699,1.55295,0.4862611,1.95335,1.549783,0.7586199,1.630044,0,0.8859863,0.6541434,0.3953548,1.255953,1.96952,1.992076,2.180022,1.25278,2.054723,4.071592,2.217598,1.615892,2.561171,1.632135,0.9336566,1.926174,2.29629,1.975944,3.130945,1.422262,0.8325065,0.900284,1.40953,2.078334,1.316766,2.63552,0.5171921,3.183186,0.7377639,1.428604,0.3231766,1.721313,2.106168,1.789389,0.6073642,1.955625,1.422999,1.273901,2.481593,1.034564,1.355868,5.70341,8.084341,8.132842,7.728371,6.273008,5.853058,5.662479,6.099875,6.864913,5.05316,7.699339,6.317605,5.845646,4.87998,5.819442,6.668061,7.275002,6.160104,7.294261,7.704674,5.497231,5.692214,8.220595,8.58652,6.021282,6.000906,5.670354,6.006809,7.124385,7.222607,6.993425,7.517458,6.555229,6.094357,4.895813,7.1303,7.451817,8.069658,5.056832,4.807003,4.887276,2.986869,6.354479,6.346484,6.312702,8.458083,7.399923,6.452432,7.138016,5.249153,13.29074,13.25443,13.00794,10.86872,10.37729,12.62307,12.33791,11.9878,10.75842,12.145,11.20073,14.22294,13.02177,11.76486,12.15932,11.45761,12.31597,12.5681,12.71534,11.87551,11.50314,10.56814,13.32489,13.55064,12.0681,12.49554,12.7309,10.06626,12.2172,12.21008,13.99163,12.6681,12.679,11.20019,11.13277,11.78025,11.33558,11.53121,14.96262,10.81708,11.40035,11.03587,13.89227,11.69863,11.53111,13.00027,13.0849,12.67193,12.99739,11.52309,7.894182,6.934852,8.829029,8.972834,9.175298,7.811229,7.381356,8.97474,8.979739,8.285565,8.125324,8.101202,9.34993,8.34149,7.486289,7.211903,8.414608,8.852361,8.740352,9.457745,10.43605,8.693871,8.82753,8.94,7.284803,8.555335,8.091299,8.349965,7.855017,8.037392,9.429758,6.889007,8.171423,10.26886,7.397646,8.508779,9.258185,9.643025,8.533223,8.483354,8.347687,8.832617,9.320575,11.26941,8.378557,9.350974,7.934203,7.63133,9.336599,9.529631, + 0.3398006,0.6767681,0.9628953,1.366742,1.435676,0.9127046,1.241797,0.7463846,0.8859863,0,0.2362551,1.034106,0.9179062,2.219121,1.516116,2.216322,1.14648,1.295711,3.228187,1.442432,1.08441,1.678643,1.695787,1.806994,1.040228,1.627653,1.214083,2.445521,0.5371903,1.364252,0.5742121,0.523653,2.090003,1.049471,1.764789,1.086476,2.337247,1.47342,1.321348,1.202392,0.84709,1.294158,0.9841733,1.450643,1.129717,0.8235031,0.7085974,1.920684,1.872834,0.8040566,5.119338,7.958465,7.679816,7.435795,5.927148,5.48868,5.260384,5.559219,6.484034,4.733587,7.428785,5.9082,5.381094,4.738194,5.41404,6.442572,6.884356,5.601185,6.840784,7.227055,5.414008,5.333674,7.800205,8.193593,5.63103,5.625783,5.259012,5.63274,6.961613,7.006526,6.614023,7.07767,6.227169,5.858808,4.744428,6.653161,7.007017,7.549893,4.780423,4.332732,4.581645,2.961625,5.968706,5.954875,5.879784,8.256465,6.914596,6.105162,6.903892,4.734788,12.99559,12.8792,12.74982,10.57163,10.05315,12.26353,12.05056,11.67824,10.59023,11.84636,10.96419,13.80586,12.79333,11.44789,11.79113,11.04524,12.02937,12.30067,12.37399,11.58892,11.20314,10.17458,12.89774,13.29115,11.73162,12.06172,12.45505,9.709346,11.77046,11.97255,13.64024,12.35337,12.54077,10.86985,10.70938,11.5,10.95584,11.09575,14.63462,10.33838,11.12915,10.83435,13.58357,11.27919,11.27039,12.58766,12.85562,12.29999,12.60292,11.21902,8.385297,7.435121,9.351374,9.363599,9.481767,8.151815,7.79146,9.266744,9.338449,8.798391,8.395715,8.440062,9.688804,8.607248,7.953691,7.609315,8.848984,9.073715,9.037252,9.839032,10.87395,9.237416,9.349229,9.274054,7.768993,8.9289,8.412261,8.780264,8.290485,8.405401,9.785564,7.176445,8.535313,10.66108,7.622694,9.04664,9.603411,10.12204,8.709086,8.759263,8.792074,9.217801,9.898448,11.54901,8.776543,9.922392,8.418297,7.972386,9.700691,9.869165, + 0.5066584,0.6690197,1.048041,1.131903,1.573391,1.0162,1.093579,0.9759627,0.6541434,0.2362551,0,0.8051554,0.9781684,2.156905,1.642824,2.133435,1.147722,1.504027,3.435564,1.615242,1.217546,1.914564,1.671599,1.581825,1.273402,1.812881,1.422532,2.640329,0.7727509,1.21083,0.590182,0.7583085,2.088939,1.017571,2.000648,0.8658679,2.569724,1.279299,1.33183,0.9738319,1.068722,1.517112,1.203376,1.21453,1.355563,0.9700797,0.770014,2.078003,1.658587,0.865552,5.294906,8.021005,7.825759,7.540887,6.043793,5.609291,5.390245,5.724646,6.610493,4.840824,7.528211,6.041081,5.527127,4.798699,5.545048,6.528963,7.013808,5.771192,6.986023,7.378706,5.460978,5.452468,7.938101,8.324937,5.758553,5.749415,5.391245,5.756114,7.032482,7.091331,6.740281,7.219731,6.339731,5.946765,4.80749,6.80411,7.15026,7.712218,4.8765,4.479046,4.684798,2.981542,6.095652,6.083291,6.018599,8.339021,7.067859,6.222465,6.99323,4.892261,13.10504,13.00868,12.84979,10.68044,10.1685,12.38887,12.15764,11.79077,10.66603,11.95621,11.05779,13.94598,12.88575,11.56219,11.91843,11.1832,12.13626,12.40281,12.49482,11.6956,11.31302,10.30743,13.04006,13.39168,11.85096,12.20539,12.55939,9.832742,11.91719,12.06693,13.76403,12.4675,12.60987,10.98723,10.84991,11.60503,11.08564,11.23943,14.75287,10.49234,11.23168,10.91889,13.69664,11.419,11.37033,12.72629,12.94828,12.42843,12.73707,11.32994,8.281788,7.328153,9.239728,9.288893,9.430379,8.089867,7.709983,9.219138,9.27259,8.689073,8.35319,8.378879,9.628677,8.566197,7.856448,7.531142,8.76175,9.045154,8.988111,9.767297,10.78705,9.11965,9.237765,9.214932,7.666872,8.858607,8.355955,8.694111,8.202466,8.336169,9.72084,7.127816,8.467339,10.58683,7.591569,8.930376,9.541471,10.02315,8.692459,8.715596,8.702,9.14453,9.771174,11.50633,8.699365,9.796998,8.31679,7.910117,9.633618,9.808987, + 1.191759,0.9728352,1.438888,0.5032602,2.282747,1.459303,1.140755,1.728196,0.3953548,1.034106,0.8051554,0,1.60342,2.353901,2.331911,1.813141,1.634324,2.301649,4.054372,2.168213,1.934382,2.688402,2.027451,1.032715,2.033312,2.584997,2.220596,3.419213,1.554203,1.20128,1.223136,1.535365,2.473639,1.092129,2.790788,0.1234357,3.370997,1.034773,1.813772,0.5243283,1.792845,2.322074,2.007647,0.4755862,2.160682,1.716391,1.184833,2.806702,1.200115,1.247781,6.034697,8.479663,8.498333,8.115669,6.653539,6.230722,6.034327,6.443831,7.241311,5.435378,8.088497,6.689102,6.206581,5.274509,6.190975,7.059852,7.650319,6.499276,7.658999,8.064981,5.89257,6.070468,8.591925,8.962381,6.395432,6.37725,6.040715,6.383308,7.51901,7.615155,7.370145,7.884916,6.938132,6.4852,5.290061,7.490195,7.81831,8.420861,5.44351,5.164093,5.270801,3.382217,6.729673,6.720798,6.680204,8.851661,7.758352,6.832957,7.529496,5.598233,13.67937,13.63441,13.3993,11.25672,10.76255,13.0049,12.72704,12.37491,11.15334,12.53313,11.59312,14.59703,13.41481,12.15121,12.53995,11.83173,12.70515,12.95877,13.09933,12.26461,11.89102,10.94481,13.69713,13.94198,12.45249,12.86644,13.12098,10.44768,12.58575,12.60256,14.37472,13.05485,13.07435,11.58503,11.505,12.16984,11.71445,11.90153,15.34844,11.17896,11.79055,11.42985,14.2798,12.07169,11.92207,13.37479,13.4779,13.05221,13.37464,11.91061,8.194197,7.233744,9.115825,9.3025,9.525564,8.155435,7.708166,9.328339,9.317871,8.576929,8.484288,8.445385,9.692532,8.701099,7.795251,7.542605,8.732399,9.219509,9.093172,9.789391,10.7501,8.9725,9.114578,9.284225,7.588522,8.890196,8.439649,8.669104,8.173432,8.374459,9.768092,7.246379,8.50934,10.59661,7.765735,8.790031,9.599346,9.94445,8.907789,8.840805,8.662475,9.163997,9.583518,11.62365,8.707063,9.616728,8.236601,7.975709,9.672925,9.871878, + 1.198613,1.593622,1.844881,1.673203,0.7064372,1.779191,0.9743947,1.260217,1.255953,0.9179062,0.9781684,1.60342,0,1.450779,0.736629,3.109972,0.3304018,1.023877,3.670333,2.136928,0.4084022,1.849053,0.8665784,1.898869,1.417187,1.117805,0.9663589,1.928571,1.043355,1.079918,0.396362,1.059071,1.203098,1.964258,1.823074,1.705435,2.223343,1.378666,0.449412,1.442164,1.402124,1.172867,0.9227544,1.840981,1.092526,0.3795231,1.615013,1.234032,1.850597,1.707628,4.448092,7.047826,6.897651,6.568134,5.079888,4.649628,4.441714,4.844975,5.655885,3.87091,6.552941,5.095369,4.60399,3.825948,4.597723,5.550914,6.062291,4.904264,6.057993,6.461995,4.497154,4.491221,6.996915,7.374531,4.806371,4.792743,4.445928,4.79915,6.056102,6.113183,5.785299,6.285919,5.372268,4.968911,3.833534,5.88715,6.218518,6.818415,3.900852,3.560748,3.712534,2.049149,5.142264,5.131692,5.081704,7.360876,6.155035,5.25897,6.015465,3.996349,12.13359,12.0539,11.87409,9.708967,9.201427,11.42989,11.18503,10.82138,9.688708,10.98514,10.0805,13.00445,11.90817,10.59404,10.9616,10.23972,11.16354,11.42794,11.53161,10.72283,10.34207,9.357643,12.1021,12.41615,10.88662,11.2699,11.58543,8.872691,10.98685,11.08975,12.80325,11.49908,11.63438,10.0215,9.910333,10.63147,10.13187,10.30448,13.78715,9.576252,10.25708,9.940722,12.72734,10.47806,10.39474,11.78308,11.97074,11.47268,11.78791,10.35961,7.646088,6.708843,8.631676,8.554821,8.63113,7.320973,7.000519,8.410574,8.512641,8.073741,7.533212,7.607307,8.852271,7.742403,7.199588,6.811724,8.068224,8.19253,8.183685,9.02359,10.08864,8.535833,8.629019,8.436361,7.028204,8.112171,7.571122,7.997203,7.512948,7.587637,8.957026,6.325143,7.714872,9.84942,6.746076,8.341173,8.770151,9.366504,7.815679,7.897927,8.018044,8.406406,9.224451,10.68377,7.973963,9.242326,7.673695,7.142489,8.876584,9.032487, + 2.550266,2.824676,3.180735,2.081047,1.703551,3.131673,1.213176,2.707115,1.96952,2.219121,2.156905,2.353901,1.450779,0,1.622217,4.145546,1.128509,2.319392,5.095837,3.574269,1.688244,3.235893,0.5950025,1.904252,2.865129,2.189027,2.290101,2.755845,2.482733,1.162151,1.657461,2.495449,0.5671959,3.155406,3.166529,2.47728,3.425751,1.437441,1.011803,1.894771,2.84847,2.514791,2.329905,2.282366,2.481037,1.808939,2.915496,2.005354,1.707167,3.012019,4.653758,6.209645,6.685319,6.034004,4.696599,4.32562,4.212899,4.916835,5.325486,3.494111,5.97696,4.849075,4.508806,3.079315,4.367414,4.911019,5.739467,5.01745,5.871671,6.316489,3.621431,4.162678,6.711912,7.023862,4.53138,4.485165,4.237799,4.488956,5.292077,5.443862,5.447408,6.06202,4.940822,4.364458,3.1055,5.760111,6.007726,6.758122,3.427874,3.570019,3.316007,1.186418,4.842071,4.844667,4.888516,6.647261,6.03699,4.871695,5.381518,4.063524,11.54513,11.61235,11.2229,9.140994,8.688358,10.96319,10.58848,10.26701,8.900406,10.40995,9.403024,12.63715,11.20696,10.05486,10.51503,9.886302,10.56578,10.79513,11.03025,10.12801,9.774064,8.976836,11.76117,11.76461,10.38103,10.94939,10.96631,8.425975,10.69536,10.40782,12.3123,10.94934,10.79117,9.511837,9.582809,10.02609,9.715195,9.997049,13.24859,9.368382,9.638418,9.205309,12.15962,10.13629,9.756779,11.41587,11.27064,11.02914,11.38521,9.798825,6.199072,5.259227,7.181804,7.144826,7.273542,5.935001,5.575932,7.06302,7.120135,6.62432,6.199484,6.223688,7.47315,6.413327,5.756501,5.391972,6.637617,6.904059,6.831632,7.619916,8.661369,7.085054,7.1792,7.059019,5.581276,6.709797,6.199293,6.567923,6.080288,6.186362,7.567657,4.97172,6.316449,8.442161,5.448892,6.890421,7.386722,7.924815,6.570794,6.561148,6.583758,6.998807,7.775429,9.351815,6.558529,7.7926,6.228001,5.755391,7.482071,7.65349, + 1.707473,2.172863,2.312149,2.405786,0.1146144,2.230608,1.635764,1.530766,1.992076,1.516116,1.642824,2.331911,0.736629,1.622217,0,3.728569,0.8619047,0.7750177,3.587401,2.384222,0.4318804,1.710605,1.075106,2.594237,1.543019,0.5668627,0.7784155,1.254357,1.392315,1.720113,1.109475,1.418255,1.142925,2.545687,1.598773,2.429443,1.803664,2.052443,0.7882965,2.173316,1.659407,0.9898561,0.93885,2.57664,1.024571,0.695806,2.136911,0.5098711,2.517676,2.218554,3.711513,6.49938,6.185509,5.922536,4.411039,3.972825,3.748323,4.112066,4.970189,3.220549,5.919002,4.398491,3.887868,3.299914,3.902809,4.947003,5.372222,4.169282,5.345617,5.742857,4.005164,3.817599,6.295333,6.682841,4.117612,4.110686,3.748713,4.117561,5.489152,5.512129,5.100097,5.577879,4.711519,4.362304,3.299742,5.167954,5.508864,6.089967,3.27657,2.840999,3.071527,1.73509,4.455036,4.442005,4.376064,6.763439,5.433821,4.589047,5.404041,3.267082,11.48014,11.36739,11.23829,9.056475,8.537035,10.74953,10.53582,10.16229,9.104434,10.33087,9.457588,12.30333,11.28725,9.931805,10.27804,9.540389,10.51471,10.788,10.85851,10.07435,9.687668,8.665049,11.39785,11.77924,10.21583,10.56362,10.94132,8.194501,10.27674,10.46504,12.12567,10.83728,11.06384,9.353808,9.207396,9.986073,9.444166,9.597729,13.11871,8.857444,9.616422,9.336912,12.06754,9.776358,9.759103,11.08351,11.34932,10.78754,11.09451,9.703337,7.628384,6.717725,8.633919,8.421728,8.416424,7.154996,6.908989,8.184765,8.348727,8.07305,7.297735,7.435526,8.665743,7.50003,7.164037,6.710683,7.98503,7.905191,7.964902,8.876115,9.987295,8.562565,8.630591,8.249675,7.013569,7.967484,7.382653,7.910807,7.438922,7.444553,8.785583,6.124758,7.565947,9.704853,6.480037,8.364175,8.590508,9.31419,7.49255,7.66302,7.945818,8.269543,9.281521,10.42802,7.855246,9.291863,7.648074,6.979723,8.713936,8.844794, + 2.043505,1.558892,1.575249,2.221818,3.642453,1.667869,2.938435,2.432434,2.180022,2.216322,2.133435,1.813141,3.109972,4.145546,3.728569,0,3.266443,3.351765,3.713601,2.127859,3.296924,3.208765,3.751143,2.684093,2.654151,3.75006,3.27739,4.49721,2.437739,3.009509,2.723301,2.408815,4.1881,1.19229,3.401874,1.693377,4.024497,2.839167,3.45289,2.325559,2.380331,3.255914,3.018391,2.067442,3.090394,3.032866,1.636595,4.098213,2.899927,1.577341,7.20409,10.15392,9.844663,9.650889,8.136902,7.695712,7.45812,7.677904,8.684032,6.948691,9.645001,8.100697,7.552162,6.931701,7.610031,8.656704,9.080103,7.703512,9.009136,9.379136,7.588782,7.542333,9.981327,10.38512,7.830935,7.829876,7.4537,7.837079,9.165765,9.220074,8.814107,9.252108,8.439356,8.073427,6.940798,8.808755,9.179201,9.6692,6.996626,6.507675,6.79767,5.094141,8.168792,8.153228,8.062983,10.46906,9.063388,8.314304,9.119073,6.882342,15.20794,15.07028,14.96577,12.78468,12.26196,14.4609,14.26427,13.88879,12.79866,14.05863,13.18039,15.97643,15.00942,13.65718,13.98599,13.22245,14.24318,14.51617,14.57683,13.80287,13.41548,12.36187,15.06404,15.50699,13.93627,14.2256,14.66986,11.91035,13.9271,14.18883,15.83913,14.56259,14.74331,13.07667,12.88163,13.71463,13.14745,13.26056,16.83964,12.47708,13.34461,13.04808,15.79339,13.45241,13.4864,14.76227,15.07175,14.49293,14.78624,13.43074,9.952294,8.992281,10.85023,11.09806,11.33665,9.963632,9.501947,11.14063,11.12132,10.32036,10.29743,10.25349,11.49926,10.51424,9.567128,9.340426,10.51469,11.03086,10.90524,11.58671,12.52544,10.69257,10.84943,11.09214,9.353371,10.69102,10.25003,10.45315,9.957134,10.17743,11.57155,9.059454,10.31295,12.38938,9.576534,10.51537,11.40507,11.70183,10.71309,10.65385,10.44097,10.96138,11.27138,13.43599,10.50181,11.31019,9.99823,9.784063,11.4747,11.67831, + 1.458416,1.803294,2.102803,1.602251,0.8744314,2.044316,0.7754885,1.578654,1.25278,1.14648,1.147722,1.634324,0.3304018,1.128509,0.8619047,3.266443,0,1.319832,4.00064,2.447673,0.6715655,2.173767,0.5589678,1.738809,1.746065,1.344811,1.26982,2.111655,1.354827,0.8583507,0.5731733,1.368171,0.9452475,2.163237,2.139113,1.747955,2.509154,1.192381,0.186662,1.368515,1.719965,1.484194,1.248373,1.788467,1.414868,0.7069897,1.855067,1.370233,1.655917,1.95038,4.518181,6.893419,6.886967,6.482528,5.020559,4.600311,4.412089,4.887608,5.612327,3.801422,6.457662,5.067277,4.606354,3.673807,4.56922,5.436294,6.022674,4.956826,6.049455,6.464695,4.322513,4.439435,6.970038,7.333996,4.769512,4.748372,4.421051,4.754238,5.915483,5.994603,5.740774,6.269949,5.303993,4.858709,3.685561,5.891209,6.20521,6.842012,3.810174,3.575061,3.636503,1.834045,5.102255,5.094601,5.065599,7.236534,6.162534,5.199986,5.904556,4.029812,12.04731,12.00192,11.77268,9.624032,9.128305,11.37126,11.09568,10.74143,9.551735,10.90054,9.970461,12.97079,11.7949,10.5173,10.907,10.20551,11.07388,11.33035,11.46503,10.63325,10.25819,9.31544,12.0735,12.31525,10.81816,11.24489,11.49127,8.814229,10.96809,10.98009,12.7406,11.42114,11.48665,9.950718,9.881482,10.53927,10.08286,10.28096,13.71429,9.574157,10.16118,9.81674,12.64659,10.44693,10.29451,11.748,11.8578,11.4195,11.74463,10.27746,7.327326,6.387672,8.310151,8.253188,8.346886,7.027189,6.69295,8.129275,8.217144,7.752788,7.255462,7.314414,8.561316,7.466148,6.883406,6.505999,7.758319,7.928095,7.900913,8.72435,9.780413,8.211946,8.307566,8.145832,6.709494,7.813159,7.281959,7.687866,7.202054,7.288843,8.662718,6.04069,7.417103,9.549046,6.477872,8.017704,8.47776,9.051246,7.562735,7.619534,7.70647,8.105612,8.89792,10.40812,7.670175,8.916337,7.35589,6.848256,8.580509,8.741631, + 1.330188,1.82241,1.812883,2.530584,0.6648819,1.721864,1.982288,0.946852,2.054723,1.295711,1.504027,2.301649,1.023877,2.319392,0.7750177,3.351765,1.319832,0,2.816788,1.701362,0.6525963,0.9384383,1.733311,2.852981,0.8483471,0.4230698,0.08164664,1.162296,0.9155652,2.094558,1.198293,0.9443928,1.893762,2.166644,0.8474176,2.369438,1.200549,2.368447,1.34906,2.319038,1.042772,0.2153904,0.3344852,2.66092,0.2985142,0.6790677,1.715538,0.8366453,2.836806,1.775973,3.863617,7.100686,6.496801,6.400975,4.860853,4.41207,4.150487,4.327659,5.374466,3.726475,6.416907,4.77993,4.210906,3.950012,4.297871,5.496533,5.760883,4.357335,5.663592,6.02824,4.672192,4.266558,6.64262,7.056432,4.525638,4.535495,4.140064,4.543378,6.077671,6.060393,5.504167,5.909648,5.173785,4.914672,3.943463,5.458846,5.835475,6.320033,3.822054,3.173801,3.596426,2.502175,4.861938,4.842713,4.730437,7.3081,5.712146,5.034247,5.939392,3.532349,11.92106,11.73594,11.71101,9.50607,8.965309,11.13504,10.98692,10.59568,9.655938,10.77311,9.955554,12.62815,11.78342,10.3596,10.65699,9.878177,10.96655,11.25482,11.26057,10.52807,10.13156,9.025794,11.71459,12.24892,10.62478,10.87569,11.40053,8.59397,10.5759,10.95741,12.5145,11.26343,11.62659,9.772147,9.534999,10.44557,9.815187,9.911122,13.52611,9.12562,10.08529,9.862636,12.49485,10.10597,10.23598,11.41598,11.84461,11.1611,11.44513,10.14359,8.399342,7.484918,9.403028,9.19565,9.181097,7.926917,7.683961,8.947596,9.120319,8.842285,8.059509,8.206736,9.434585,8.260183,7.936453,7.485701,8.75996,8.653661,8.729196,9.648976,10.76219,9.328206,9.399782,9.018712,7.783904,8.740806,8.151973,8.685775,8.213586,8.218138,9.556213,6.89353,8.339099,10.47773,7.236203,9.130292,9.360264,10.08826,8.230236,8.42454,8.720494,9.043284,10.04221,11.18261,8.629892,10.05398,8.419812,7.752019,9.485515,9.613391, + 2.933251,3.090911,2.646846,4.511812,3.480107,2.607779,4.429948,2.510325,4.071592,3.228187,3.435564,4.054372,3.670333,5.095837,3.587401,3.713601,4.00064,2.816788,0,1.889937,3.411327,1.878364,4.500878,5.004641,2.273049,3.092269,2.828643,3.143344,2.74769,4.555131,3.606628,2.747998,4.70754,3.118184,1.998871,4.03418,2.094859,4.700703,4.087952,4.394567,2.389027,2.606106,2.766001,4.529596,2.617531,3.296035,2.873882,3.471491,5.093955,2.822291,5.165851,9.334302,7.914015,8.311052,6.799382,6.366247,6.042839,5.715213,7.148279,5.907613,8.381361,6.548842,5.898575,6.43288,6.155162,7.650855,7.459912,5.664432,7.170746,7.407197,7.164209,6.259476,8.156653,8.622521,6.389914,6.441087,6.007328,6.450703,8.310249,8.182986,7.266628,7.434492,7.119046,7.109882,6.412386,6.908686,7.351866,7.506241,6.081518,5.057097,5.832279,5.281001,6.689152,6.65563,6.433644,9.369158,7.100121,6.945977,8.032438,5.190285,13.52528,13.10278,13.42542,11.20121,10.61098,12.57419,12.64622,12.20698,11.67106,12.40871,11.79258,13.82518,13.57421,11.95919,12.08808,11.19989,12.62876,12.95954,12.75127,12.20744,11.78982,10.45466,12.90785,13.94251,12.15534,12.07832,13.07691,10.1633,11.74542,12.75264,13.93104,12.83378,13.64095,11.35878,10.83647,12.14587,11.24742,11.15162,14.98524,10.25061,11.82542,11.79079,14.04146,11.3927,11.99798,12.67057,13.63128,12.5599,12.75966,11.78975,11.21558,10.3015,12.21981,11.98083,11.91545,10.69994,10.48825,11.67447,11.88954,11.65906,10.78484,10.97522,12.18828,10.97817,10.75136,10.28762,11.56477,11.32492,11.46307,12.42564,13.55792,12.1441,12.21656,11.77418,10.60043,11.52173,10.91064,11.48978,11.02156,11.00161,12.31926,9.65277,11.11931,13.2537,9.943399,11.94642,12.11885,12.89921,10.86545,11.14753,11.52825,11.8271,12.8544,13.86812,11.42281,12.86742,11.23547,10.52756,12.25416,12.36551, + 1.111916,1.201136,0.7635759,2.636585,2.270958,0.7184134,2.684185,0.8840147,2.217598,1.442432,1.615242,2.168213,2.136928,3.574269,2.384222,2.127859,2.447673,1.701362,1.889937,0,2.039987,1.161105,3.001739,3.142624,0.8544427,2.117288,1.657992,2.662839,1.093885,2.806659,1.936562,1.079585,3.322709,1.258013,1.377539,2.144705,1.964124,2.893918,2.586338,2.537222,0.7433388,1.517087,1.448702,2.643799,1.404245,1.825226,0.9846989,2.537362,3.251283,0.9327742,5.293917,8.79989,8.024272,8.055121,6.508061,6.057434,5.777449,5.80441,6.988851,5.407575,8.081394,6.385074,5.782728,5.648327,5.918416,7.185144,7.360513,5.806188,7.207306,7.537221,6.367185,5.918534,8.200851,8.633491,6.151436,6.171367,5.760508,6.179761,7.775347,7.747369,7.117204,7.462189,6.825558,6.605522,5.642827,6.981428,7.38447,7.768827,5.51441,4.777029,5.284311,4.091139,6.483238,6.460168,6.316793,8.991461,7.219077,6.677456,7.621997,5.076863,13.53329,13.28559,13.34723,11.13075,10.57592,12.70239,12.60896,12.20513,11.33905,12.38897,11.61116,14.13082,13.43509,11.96531,12.22003,11.40556,12.58918,12.88771,12.84224,12.15309,11.75031,10.57936,13.21213,13.88212,12.21427,12.37198,13.02769,10.18331,12.05995,12.60791,14.08087,12.86537,13.31269,11.37213,11.05413,12.07496,11.37436,11.41375,15.10693,10.58512,11.72203,11.53369,14.09491,11.62409,11.87778,12.93113,13.49563,12.71738,12.97839,11.75957,9.772626,8.82968,10.75082,10.69035,10.74802,9.450784,9.137409,10.52299,10.64369,10.19477,9.640676,9.736076,10.97828,9.846964,9.330656,8.948605,10.20462,10.27291,10.29867,11.15762,12.22549,10.64602,10.74839,10.56204,9.154951,10.24619,9.695602,10.13378,9.648902,9.72161,11.08677,8.444542,9.848071,11.98411,8.837468,10.45328,10.89788,11.49874,9.870683,10.00602,10.15364,10.54151,11.31887,12.78397,10.11041,11.34055,9.802103,9.272818,11.00807,11.15829, + 1.282129,1.742156,1.898901,2.056592,0.3558779,1.820356,1.381784,1.162507,1.615892,1.08441,1.217546,1.934382,0.4084022,1.688244,0.4318804,3.296924,0.6715655,0.6525963,3.411327,2.039987,0,1.547834,1.095226,2.304765,1.233886,0.7102357,0.6100907,1.529289,0.9951712,1.485008,0.7164706,1.019059,1.316547,2.11545,1.488638,2.026019,1.837637,1.787066,0.6984573,1.829182,1.299322,0.8320461,0.652621,2.214849,0.793934,0.2651541,1.71246,0.8724647,2.258999,1.796269,4.100509,6.915336,6.608221,6.354013,4.842834,4.404296,4.177831,4.51632,5.400581,3.65189,6.349645,4.827018,4.309584,3.706697,4.331955,5.373533,5.801853,4.567938,5.768501,6.161735,4.403176,4.249271,6.722065,7.111937,4.547772,4.541691,4.17743,4.548612,5.908823,5.938419,5.530531,6.00257,5.143395,4.788986,3.708718,5.587039,5.932916,6.500192,3.705237,3.261547,3.50205,2.051854,4.885329,4.871925,4.802108,7.189518,5.851346,5.020797,5.831905,3.678294,11.91201,11.79701,11.66945,9.488313,8.968816,11.18007,10.9676,10.59416,9.528717,10.76274,9.887539,12.72947,11.71711,10.36362,10.70818,9.967293,10.94648,11.2194,11.28976,10.50611,10.11954,9.093714,11.82302,12.21049,10.64727,10.98811,11.37293,8.625416,10.69965,10.89524,12.55647,11.2691,11.4858,9.785444,9.633225,10.41772,9.873704,10.02214,13.55023,9.275737,10.04783,9.764439,12.49939,10.20253,10.1902,11.5102,11.77924,11.21742,11.52279,10.13522,7.830667,6.90506,8.82695,8.681706,8.713776,7.429011,7.147294,8.48681,8.623044,8.267057,7.603138,7.712546,8.95068,7.808642,7.374839,6.953336,8.220548,8.233218,8.263656,9.143245,10.23331,8.74272,8.823967,8.534325,7.213499,8.232488,7.667236,8.147815,7.669317,7.708241,9.063739,6.413039,7.832512,9.971239,6.797613,8.546106,8.872253,9.535604,7.834736,7.968554,8.175895,8.531161,9.446138,10.74451,8.107834,9.460528,7.854426,7.252032,8.987984,9.130402, + 1.507499,1.90255,1.658004,3.044691,1.602319,1.570608,2.717276,0.9631003,2.561171,1.678643,1.914564,2.688402,1.849053,3.235893,1.710605,3.208765,2.173767,0.9384383,1.878364,1.161105,1.547834,0,2.642994,3.462575,0.6585289,1.243056,0.9522211,1.561969,1.141943,2.839576,1.876142,1.157637,2.83032,2.142242,0.2210882,2.717258,0.8169083,3.053561,2.239159,2.870559,0.9255299,0.7284276,0.9263082,3.126243,0.759953,1.469619,1.713916,1.650426,3.497115,1.726271,4.136959,7.805687,6.877609,6.97257,5.424987,4.975193,4.681977,4.652307,5.879003,4.375989,7.010211,5.272331,4.656827,4.737975,4.817573,6.157953,6.241168,4.650146,6.066521,6.387314,5.469579,4.843545,7.062465,7.501019,5.052894,5.08032,4.660569,5.089078,6.775948,6.713923,6.006076,6.323496,5.745314,5.587165,4.725099,5.835562,6.244852,6.610302,4.508252,3.674094,4.268262,3.421803,5.379917,5.354445,5.194768,7.946353,6.069306,5.589936,6.579903,3.944741,12.41116,12.13968,12.24034,10.0183,9.455874,11.56199,11.49323,11.08265,10.28858,11.2698,10.52282,12.97528,12.34088,10.84111,11.07859,10.25549,11.47384,11.77886,11.70677,11.03968,10.63348,9.436412,12.05616,12.7726,11.08239,11.21614,11.91481,9.053489,10.90272,11.51346,12.93934,11.73853,12.26565,10.24573,9.902631,10.9645,10.23237,10.25923,13.96981,9.426068,10.61721,10.4635,12.9663,10.47207,10.77669,11.77795,12.40077,11.5736,11.82871,10.64111,9.337638,8.423209,10.34146,10.12226,10.08808,8.848469,8.617735,9.851551,10.04077,9.780723,8.9623,9.126603,10.34914,9.16022,8.874283,8.418527,9.694033,9.535697,9.635756,10.57242,11.69301,10.26617,10.33822,9.933801,8.722286,9.66568,9.06796,9.619534,9.148826,9.143877,10.47441,7.809112,9.263593,11.40108,8.131072,10.06837,10.27668,11.02469,9.097644,9.326658,9.655683,9.969342,10.97859,12.07198,9.559382,10.99089,9.357914,8.674504,10.40584,10.52741, + 2.014345,2.337644,2.6565,1.870605,1.142583,2.600141,0.9490417,2.126785,1.632135,1.695787,1.671599,2.027451,0.8665784,0.5950025,1.075106,3.751143,0.5589678,1.733311,4.500878,3.001739,1.095226,2.642994,0,1.850472,2.274102,1.637136,1.700545,2.281184,1.907877,0.961555,1.122092,1.922426,0.4462118,2.688265,2.578847,2.148634,2.866004,1.307401,0.4200716,1.651136,2.268671,1.924676,1.734916,2.07153,1.886826,1.216071,2.403248,1.514645,1.703872,2.499202,4.429812,6.452213,6.648295,6.134023,4.718695,4.317266,4.161497,4.748772,5.330061,3.496763,6.095656,4.812764,4.404461,3.251111,4.318698,5.052145,5.743913,4.833928,5.818539,6.249164,3.86581,4.154223,6.706009,7.047853,4.504026,4.47151,4.177816,4.476492,5.494566,5.602485,5.456236,6.026141,4.986759,4.484111,3.268407,5.681231,5.965911,6.658038,3.473487,3.407362,3.324216,1.355596,4.829059,4.825947,4.829851,6.832643,5.956355,4.897294,5.523252,3.886224,11.68594,11.68872,11.39128,9.267949,8.789684,11.04936,10.73129,10.39043,9.127274,10.5429,9.579945,12.6831,11.39792,10.1711,10.59155,9.921128,10.70909,10.95454,11.13172,10.26917,9.902509,9.02108,11.79445,11.93395,10.48312,10.97245,11.11987,8.497268,10.70554,10.58872,12.41128,11.07199,11.04693,9.613808,9.605769,10.17176,9.776934,10.01245,13.36969,9.34001,9.789244,9.408328,12.29215,10.1667,9.916549,11.4598,11.46119,11.10534,11.44437,9.924112,6.780137,5.844381,7.767353,7.694732,7.789608,6.4683,6.136286,7.572897,7.658179,7.208999,6.700475,6.755589,8.002671,6.911732,6.333046,5.948587,7.202887,7.379437,7.344092,8.165555,9.224135,7.674196,7.764636,7.587255,6.162258,7.25433,6.723632,7.132112,6.647213,6.729988,8.103783,5.483578,6.858179,8.990402,5.92757,7.478972,7.918959,8.499928,7.021477,7.064243,7.152094,7.547009,8.368026,9.853602,7.112197,8.38453,6.807429,6.289342,8.021542,8.182996, + 2.074064,1.978605,2.447882,0.5294707,2.590269,2.456378,0.9658891,2.553328,0.9336566,1.806994,1.581825,1.032715,1.898869,1.904252,2.594237,2.684093,1.738809,2.852981,5.004641,3.142624,2.304765,3.462575,1.850472,0,2.843371,3.014888,2.780091,3.825355,2.336317,0.9061814,1.655245,2.326272,2.248645,2.124763,3.517636,1.109826,4.029862,0.5541797,1.858732,0.6104827,2.650462,2.941801,2.631872,0.625405,2.806732,2.179201,2.178355,3.104107,0.2312316,2.252115,6.237845,8.101836,8.496849,7.926517,6.550115,6.157783,6.010123,6.582717,7.168452,5.331991,7.874616,6.659992,6.253838,4.982304,6.167162,6.812204,7.58285,6.661179,7.668356,8.099629,5.519239,5.994449,8.548706,8.88148,6.349297,6.313675,6.027323,6.318367,7.194782,7.347464,7.293458,7.874231,6.808618,6.260433,5.007511,7.531601,7.814724,8.50624,5.291613,5.248519,5.156998,3.076927,6.671609,6.669832,6.679658,8.550985,7.806611,6.727695,7.283177,5.720435,13.44844,13.49954,13.127,11.04196,10.5831,12.85388,12.49187,12.16764,10.79472,12.31217,11.30682,14.51032,13.10886,11.95397,12.4019,11.75224,12.46922,12.69937,12.92589,12.03118,11.67546,10.84767,13.62688,13.66864,12.27665,12.8085,12.87042,10.30968,12.54576,12.31114,14.20755,12.84998,12.6716,11.40712,11.44133,11.92966,11.59529,11.85078,15.14935,11.18829,11.54231,11.10568,14.06205,11.9997,11.66101,13.28757,13.17258,12.91607,13.26473,11.69968,7.269697,6.310154,8.166728,8.441415,8.728458,7.342229,6.844963,8.544507,8.480948,7.636263,7.725919,7.630879,8.868497,7.944568,6.889654,6.69071,7.843312,8.496445,8.307184,8.932378,9.848103,8.011578,8.165875,8.466795,6.672966,8.044913,7.639644,7.78335,7.287543,7.537562,8.930466,6.48791,7.674513,9.727315,7.054884,7.833187,8.77097,9.018687,8.228016,8.074417,7.766775,8.307986,8.601891,10.83582,7.844676,8.638304,7.316485,7.163895,8.82956,9.04618, + 0.8490186,1.257686,1.078943,2.405109,1.428724,0.9864969,2.168148,0.3053144,1.926174,1.040228,1.273402,2.033312,1.417187,2.865129,1.543019,2.654151,1.746065,0.8483471,2.273049,0.8544427,1.233886,0.6585289,2.274102,2.843371,0,1.267604,0.8035495,1.882654,0.5072258,2.293042,1.335594,0.5173697,2.546421,1.52775,0.7942362,2.059588,1.416302,2.469747,1.854314,2.241904,0.2825456,0.674414,0.6043562,2.477432,0.550337,1.058947,1.082334,1.684983,2.895611,1.109016,4.571706,7.948948,7.263462,7.230525,5.686251,5.236196,4.964984,5.062959,6.18393,4.567539,7.251279,5.584032,4.996662,4.793928,5.109256,6.341277,6.563298,5.077733,6.437366,6.784708,5.51329,5.09386,7.425068,7.84872,5.339992,5.354966,4.951182,5.363114,6.925603,6.904552,6.313076,6.688315,6.001618,5.760225,4.788384,6.221332,6.612221,7.045943,4.668033,3.973895,4.440492,3.267807,5.674375,5.653179,5.524774,8.150933,6.466986,5.857798,6.781719,4.301525,12.73254,12.51746,12.53359,10.32278,9.775133,11.92489,11.80278,11.40551,10.49887,11.58602,10.78667,13.3872,12.61304,11.16758,11.44456,10.64789,11.78268,12.07579,12.05735,11.34522,10.94566,9.807874,12.47069,13.07021,11.42509,11.6307,12.21887,9.393335,11.32467,11.78638,13.30435,12.06989,12.47079,10.57719,10.30041,11.26474,10.60047,10.66863,14.32314,9.860967,10.9078,10.70056,13.30074,10.87127,11.06085,12.18055,12.67394,11.9456,12.21856,10.95638,9.049149,8.11698,10.03993,9.915451,9.942743,8.662485,8.378439,9.714094,9.856576,9.481037,8.828918,8.945746,10.18283,9.03305,8.597401,8.185363,9.450726,9.446176,9.492087,10.37712,11.4653,9.948275,10.03713,9.766479,8.431442,9.466374,8.899293,9.378367,8.898367,8.942122,10.29692,7.644085,9.066384,11.20512,8.01716,9.752958,10.10493,10.76106,9.035559,9.194351,9.404659,9.76498,10.64046,11.96527,9.341039,10.65772,9.07474,8.485628,10.22156,10.36244, + 1.712545,2.20522,2.22706,2.752201,0.4960257,2.136941,2.087471,1.366209,2.29629,1.627653,1.812881,2.584997,1.117805,2.189027,0.5668627,3.75006,1.344811,0.4230698,3.092269,2.117288,0.7102357,1.243056,1.637136,3.014888,1.267604,0,0.4842866,0.8354065,1.313955,2.186694,1.400347,1.342855,1.698973,2.559773,1.094069,2.665087,1.23726,2.495792,1.31476,2.528464,1.465403,0.6023909,0.739386,2.901731,0.7203735,0.8736702,2.114377,0.4240473,2.96755,2.179858,3.493131,6.682629,6.094606,5.978718,4.439579,3.991197,3.732447,3.942288,4.957428,3.303493,5.994027,4.364957,3.803427,3.544972,3.880746,5.074443,5.345961,3.978922,5.259285,5.630586,4.270763,3.844983,6.234294,6.644404,4.107449,4.115803,3.723129,4.12361,5.658499,5.638096,5.087252,5.503222,4.751948,4.492956,3.536716,5.059339,5.429851,5.93502,3.400575,2.762094,3.174022,2.188786,4.444188,4.425592,4.319021,6.885464,5.315526,4.613366,5.516634,3.133465,11.50238,11.32639,11.28977,9.086256,8.547349,10.72283,10.56721,10.17754,9.233348,10.35415,9.532949,12.22637,11.36098,9.941995,10.24561,9.473198,10.54677,10.83393,10.84614,10.10808,9.712348,8.616652,11.31411,11.82793,10.20936,10.47585,10.98022,8.179176,10.17854,10.53508,12.1021,10.84616,11.20436,9.355443,9.131713,10.02512,9.404741,9.510668,13.11138,8.734198,9.664136,9.439567,12.07764,9.702546,9.814351,11.01246,11.4222,10.75065,11.03842,9.724714,8.141243,7.24052,9.151306,8.889607,8.845474,7.611657,7.397725,8.608631,8.802937,8.590411,7.719328,7.8886,9.108382,7.917165,7.672086,7.196346,8.47423,8.295092,8.393117,9.33664,10.46565,9.087256,9.147778,8.69329,7.528677,8.43138,7.82795,8.398943,7.932831,7.910586,9.235219,6.569188,8.029053,10.16507,6.888189,8.88808,9.036677,9.812419,7.861595,8.083645,8.439234,8.736133,9.813574,10.83,8.330576,9.821933,8.158345,7.43844,9.167869,9.286435, + 1.251893,1.744525,1.744104,2.452814,0.6653927,1.653604,1.917265,0.8819535,1.975944,1.214083,1.422532,2.220596,0.9663589,2.290101,0.7784155,3.27739,1.26982,0.08164664,2.828643,1.657992,0.6100907,0.9522211,1.700545,2.780091,0.8035495,0.4842866,0,1.242062,0.8399866,2.030889,1.124875,0.8688808,1.878899,2.090784,0.879012,2.288025,1.264201,2.299878,1.308547,2.242394,0.9834863,0.2249446,0.2590471,2.581776,0.2560646,0.6119147,1.640836,0.8871046,2.767182,1.702782,3.941499,7.14952,6.569343,6.462321,4.923751,4.475451,4.21633,4.403583,5.441007,3.783582,6.476561,4.847642,4.281699,3.990427,4.364326,5.550747,5.828654,4.4343,5.73549,6.101911,4.710408,4.329065,6.713254,7.125621,4.591385,4.600051,4.206632,4.607866,6.127745,6.115005,5.570788,5.980899,5.235888,4.968246,3.984835,5.532036,5.90698,6.396179,3.875412,3.242908,3.651577,2.512296,4.927999,4.909187,4.7998,7.363525,5.786037,5.097615,5.995283,3.605491,11.98649,11.80622,11.77391,9.57053,9.03127,11.20421,11.05147,10.66152,9.711145,10.83832,10.01606,12.70095,11.84432,10.42582,10.72651,9.95,11.03104,11.31815,11.32868,10.59236,10.19656,9.096188,11.78772,12.31213,10.69235,10.94897,11.4645,8.661861,10.64978,11.01855,12.58359,11.32988,11.68083,9.838952,9.607322,10.5094,9.885088,9.984228,13.59408,9.200736,10.14831,9.920518,12.56134,10.17827,10.29835,11.48827,11.90559,11.23101,11.51642,10.20886,8.390889,7.473504,9.392846,9.19927,9.193296,7.933369,7.682661,8.960868,9.127126,8.832256,8.073329,8.213942,9.443903,8.274856,7.929626,7.485262,8.758269,8.673403,8.741613,9.654265,10.76299,9.315538,9.389667,9.02787,7.774931,8.745446,8.160891,8.684384,8.210749,8.222371,9.563986,6.902868,8.343996,10.48299,7.252704,9.117955,9.368824,10.08381,8.253634,8.438511,8.717668,9.047236,10.02662,11.2,8.631797,10.03915,8.412162,7.758041,9.492335,9.622903, + 2.491503,2.982686,2.935692,3.583238,1.239216,2.842937,2.879053,2.066941,3.130945,2.445521,2.640329,3.419213,1.928571,2.755845,1.254357,4.49721,2.111655,1.162296,3.143344,2.662839,1.529289,1.561969,2.281184,3.825355,1.882654,0.8354065,1.242062,0,2.072233,2.969119,2.233202,2.100761,2.203947,3.320514,1.346108,3.497491,1.04979,3.293612,2.041322,3.357467,2.134427,1.241637,1.494901,3.735628,1.406993,1.708929,2.866206,0.7672431,3.762716,2.920286,2.707395,6.266764,5.380854,5.411344,3.863484,3.413489,3.122863,3.185004,4.32768,2.828234,5.448242,3.722934,3.1213,3.289543,3.260665,4.606664,4.697684,3.206597,4.555766,4.902471,4.020973,3.281598,5.545396,5.973393,3.495128,3.520137,3.103159,3.528809,5.23674,5.15933,4.45568,4.807811,4.183596,4.041483,3.269163,4.338678,4.731226,5.173502,2.975701,2.117359,2.730772,2.392467,3.824513,3.80034,3.654164,6.387376,4.584884,4.029179,5.022672,2.420469,10.87047,10.63629,10.68829,8.469516,7.913165,10.04658,9.946978,9.542298,8.727892,9.72637,8.963284,11.50528,10.78325,9.302501,9.56542,8.76528,9.927287,10.22791,10.18266,9.491669,9.088049,7.927268,10.58919,11.22214,9.553057,9.749334,10.36649,7.521668,9.444703,9.955814,11.42577,10.20279,10.70517,8.709564,8.417789,9.414472,8.720688,8.786753,12.44801,7.985292,9.063867,8.901569,11.43258,8.988661,9.221558,10.29801,10.84336,10.06531,10.33612,9.097041,8.347497,7.485992,9.366729,8.964746,8.829782,7.668405,7.538192,8.583214,8.845114,8.808692,7.695863,7.934547,9.121578,7.882535,7.866416,7.330182,8.60817,8.201737,8.378688,9.390915,10.55979,9.328199,9.362548,8.711347,7.746336,8.499523,7.856218,8.530429,8.083591,7.987787,9.263933,6.607651,8.098119,10.21436,6.844551,9.12722,9.058464,9.964844,7.731462,8.055113,8.585207,8.808986,10.07871,10.74626,8.428329,10.07942,8.356288,7.501617,9.207165,9.29629, + 0.4268785,0.9117083,0.9287043,1.903921,1.287705,0.8432271,1.682273,0.2385051,1.422262,0.5371903,0.7727509,1.554203,1.043355,2.482733,1.392315,2.437739,1.354827,0.9155652,2.74769,1.093885,0.9951712,1.141943,1.907877,2.336317,0.5072258,1.313955,0.8399866,2.072233,0,1.807454,0.8710449,0.02892871,2.235863,1.251079,1.236661,1.592583,1.826995,1.967983,1.492735,1.736063,0.3723414,0.8464066,0.5812855,1.984835,0.6754344,0.7527932,0.8011731,1.681271,2.389311,0.8661504,4.777726,7.889864,7.407613,7.266664,5.7357,5.289693,5.039256,5.243191,6.265322,4.573632,7.27354,5.675764,5.117378,4.691892,5.189039,6.322995,6.656542,5.272617,6.572873,6.941397,5.394058,5.140235,7.548187,7.957091,5.413694,5.418355,5.031807,5.425928,6.876946,6.888311,6.395293,6.817145,6.044426,5.73849,4.69201,6.371114,6.743689,7.235598,4.647801,4.075509,4.433234,3.03484,5.75108,5.73359,5.632259,8.139387,6.625683,5.911171,6.775147,4.444645,12.80523,12.63995,12.58266,10.38605,9.852445,12.03516,11.86703,11.48195,10.48398,11.65639,10.81477,13.53939,12.64425,11.24761,11.55845,10.78701,11.84637,12.1288,12.15656,11.40699,11.01396,9.930363,12.62659,13.12205,11.51863,11.78802,12.27766,9.489417,11.48937,11.8198,13.41425,12.15234,12.44741,10.66286,10.44516,11.3222,10.71804,10.8231,14.42131,10.04071,10.95792,10.70685,13.3838,11.01604,11.10522,12.326,12.70589,12.0639,12.35238,11.02729,8.681804,7.740878,9.662886,9.597931,9.665941,8.361739,8.043605,9.443186,9.554003,9.106052,8.563222,8.64762,9.8914,8.771009,8.238221,7.855034,9.110739,9.209056,9.217518,10.06618,11.13165,9.561642,9.660368,9.475312,8.064009,9.154743,8.609446,9.039896,8.555078,8.63018,9.997836,7.360852,8.757111,10.89226,7.767688,9.368103,9.810058,10.40598,8.819014,8.928325,9.059886,9.449375,10.24111,11.71075,9.017299,10.2612,8.710609,8.183478,9.918144,10.07153, + 1.697855,1.828303,2.251821,0.9319575,1.730367,2.225527,0.1251837,2.045135,0.8325065,1.364252,1.21083,1.20128,1.079918,1.162151,1.720113,3.009509,0.8583507,2.094558,4.555131,2.806659,1.485008,2.839576,0.961555,0.9061814,2.293042,2.186694,2.030889,2.969119,1.807454,0,0.9651161,1.807674,1.384925,2.110593,2.850514,1.323917,3.294675,0.3525585,0.9591771,0.7338513,2.170324,2.222313,1.936536,1.134918,2.114468,1.419937,1.969472,2.227564,0.7996511,2.062249,5.332516,7.347582,7.607122,7.085736,5.679694,5.278796,5.120654,5.67691,6.291616,4.458049,7.042876,5.77276,5.354213,4.175089,5.277958,5.991613,6.705462,5.755013,6.775843,7.203775,4.756204,5.115766,7.667223,8.009245,5.464849,5.432916,5.135972,5.437927,6.410272,6.536719,6.417774,6.985423,5.946108,5.42906,4.195942,6.63425,6.924573,7.604764,4.43131,4.344267,4.285159,2.261797,5.790398,5.78707,5.787354,7.757561,6.908663,5.858177,6.463157,4.81477,12.62964,12.64659,12.32543,10.21486,9.742555,12.00566,11.67409,11.33867,10.03335,11.48859,10.51008,13.64402,12.32275,11.12108,11.54922,10.8824,11.65173,11.89187,12.08524,11.21233,10.84925,9.981778,12.75585,12.8679,11.43635,11.934,12.05929,9.455169,11.66696,11.51762,13.36555,12.02062,11.93642,10.56682,10.5673,11.11347,10.73626,10.97399,14.31923,10.29886,10.72913,10.32683,13.23842,11.12812,10.85338,12.42075,12.38622,12.06315,12.40419,10.87171,7.097516,6.140506,8.045324,8.15065,8.34374,6.981704,6.561735,8.142565,8.152718,7.49749,7.292825,7.27164,8.520827,7.509016,6.681345,6.389707,7.6013,8.021421,7.908305,8.6342,9.624876,7.919551,8.043551,8.110311,6.485099,7.730141,7.260321,7.53561,7.041533,7.211125,8.602558,6.056527,7.34468,9.447565,6.567026,7.731668,8.429702,8.843539,7.706657,7.650858,7.536905,8.009399,8.564331,10.43711,7.557328,8.591205,7.135122,6.801767,8.510435,8.700651, + 0.8949661,1.232402,1.534568,1.352317,1.060222,1.479706,0.8418205,1.108651,0.900284,0.5742121,0.590182,1.223136,0.396362,1.657461,1.109475,2.723301,0.5731733,1.198293,3.606628,1.936562,0.7164706,1.876142,1.122092,1.655245,1.335594,1.400347,1.124875,2.233202,0.8710449,0.9651161,0,0.8768578,1.518109,1.596187,1.896862,1.320006,2.378582,1.189447,0.7514879,1.131161,1.242892,1.291455,0.9890254,1.502646,1.166804,0.5327393,1.282638,1.5862,1.649754,1.378236,4.813078,7.430869,7.287703,6.964093,5.476113,5.045439,4.83575,5.220851,6.051099,4.267237,6.948202,5.488974,4.99223,4.208572,4.991557,5.943534,6.457056,5.276203,6.447874,6.849136,4.871581,4.887194,7.389863,7.769206,5.201117,5.188181,4.839334,5.19463,6.443125,6.505227,6.180576,6.677191,5.76863,5.362099,4.2175,6.274208,6.609306,7.199404,4.296093,3.947126,4.108668,2.399192,5.537245,5.526379,5.473441,7.752022,6.541078,5.655172,6.408769,4.376533,12.52968,12.44936,12.26906,10.10508,9.597789,11.82582,11.58095,11.21768,10.07725,11.38129,10.47434,13.39779,12.30164,10.99038,11.3573,10.63333,11.55945,11.82326,11.92787,11.11873,10.73823,9.752312,12.49472,12.81119,11.28293,11.66198,11.98104,9.26869,11.37781,11.48369,13.19935,11.89541,12.02009,10.41785,10.30318,11.02719,10.52716,10.6964,14.18351,9.963732,10.65251,10.33221,13.12363,10.8712,10.78978,12.1767,12.36426,11.86826,12.18256,10.75584,7.843996,6.897785,8.817535,8.801103,8.910243,7.583792,7.233377,8.694383,8.771764,8.262474,7.822511,7.871696,9.119863,8.033822,7.4071,7.049296,8.294297,8.499507,8.465239,9.274925,10.31844,8.710302,8.8152,8.704823,7.226797,8.364285,7.842238,8.224859,7.736572,7.84041,9.218338,6.60453,7.969712,10.09809,7.048513,8.517951,9.035133,9.575865,8.135759,8.186214,8.239439,8.654593,9.382473,10.97568,8.215552,9.404006,7.875151,7.404525,9.134461,9.300218, + 0.4001053,0.8835719,0.9009759,1.890084,1.314078,0.8158746,1.682523,0.2377133,1.40953,0.523653,0.7583085,1.535365,1.059071,2.495449,1.418255,2.408815,1.368171,0.9443928,2.747998,1.079585,1.019059,1.157637,1.922426,2.326272,0.5173697,1.342855,0.8688808,2.100761,0.02892871,1.807674,0.8768578,0,2.253875,1.222253,1.256161,1.572149,1.849239,1.963381,1.508264,1.724584,0.366325,0.8739391,0.6101489,1.968616,0.7030319,0.7745586,0.7722459,1.709701,2.381895,0.8373075,4.806391,7.916328,7.43654,7.294863,5.764111,5.318167,5.067924,5.272034,6.294006,4.601563,7.301552,5.704532,5.14628,4.71755,5.217743,6.350391,6.685299,5.301379,6.601794,6.970321,5.419132,5.168641,7.577074,7.985916,5.442344,5.446917,5.060522,5.454484,6.903699,6.915714,6.423981,6.846052,6.07275,5.765862,4.717819,6.400042,6.772602,7.264425,4.675296,4.10437,4.460972,3.056343,5.779743,5.762281,5.661109,8.166822,6.654604,5.939616,6.802727,4.473572,12.83376,12.66881,12.61093,10.4145,9.881036,12.06397,11.89548,11.51051,10.51129,11.68489,10.84278,13.56832,12.67228,11.27621,11.58727,10.81593,11.87481,12.15712,12.1853,11.43542,11.04245,9.959235,12.65552,13.15035,11.54734,11.81695,12.30605,9.518156,11.51829,11.84788,13.44305,12.18096,12.47452,10.69151,10.47408,11.35058,10.74688,10.85203,14.45004,10.0696,10.98621,10.73453,13.41241,11.04496,11.13345,12.35492,12.73394,12.09275,12.38128,11.05581,8.694404,7.752865,9.674677,9.613891,9.684241,8.378783,8.058555,9.461809,9.570866,9.118035,8.582168,8.664796,9.908885,8.790128,8.251459,7.870295,9.125272,9.229359,9.235961,10.08252,11.1465,9.57266,9.672181,9.492834,8.076644,9.171089,8.627095,9.054535,8.569422,8.646541,10.01488,7.378963,8.773623,10.90844,7.787501,9.379278,9.827352,10.41939,8.840264,8.947231,9.074096,9.465461,10.251,11.73011,9.032903,10.27135,8.723449,8.200452,9.934938,10.08904, + 2.393766,2.748225,3.040329,2.306915,1.240201,2.978054,1.385208,2.438992,2.078334,2.090003,2.088939,2.473639,1.203098,0.5671959,1.142925,4.1881,0.9452475,1.893762,4.70754,3.322709,1.316547,2.83032,0.4462118,2.248645,2.546421,1.698973,1.878899,2.203947,2.235863,1.384925,1.518109,2.253875,0,3.106181,2.734684,2.594751,2.931794,1.720311,0.7691265,2.091119,2.580395,2.101911,1.968024,2.508865,2.09814,1.499731,2.798097,1.467691,2.083054,2.892923,4.122986,6.006033,6.253434,5.700914,4.302374,3.909391,3.768288,4.41005,4.919807,3.083397,5.659229,4.415327,4.033656,2.806134,3.924838,4.611711,5.33421,4.50384,5.428791,5.865455,3.420079,3.74603,6.300533,6.633526,4.102862,4.065663,3.78793,4.070266,5.049018,5.160333,5.044849,5.630238,4.564449,4.046165,2.824054,5.301564,5.572099,6.28854,3.048352,3.062492,2.908648,0.9104486,4.423647,4.422425,4.440784,6.388469,5.577757,4.480267,5.083065,3.550739,11.24784,11.2628,10.94954,8.831497,8.357654,10.6211,10.29273,9.954837,8.681265,10.10579,9.137056,12.26494,10.954,9.736703,10.16532,9.50522,10.27045,10.51379,10.70032,9.830758,9.465976,8.602263,11.37954,11.49217,10.05144,10.56024,10.67989,8.071512,10.29712,10.1456,11.98064,10.63667,10.60079,9.181919,9.193119,9.732689,9.353944,9.6022,12.93503,8.943805,9.349392,8.963359,11.85541,9.75212,9.475588,11.04188,11.01731,10.67932,11.0225,9.488101,6.516771,5.595513,7.515923,7.372317,7.430481,6.128128,5.832041,7.208745,7.321223,6.95558,6.330525,6.413369,7.656067,6.539476,6.059231,5.639041,6.904664,6.990952,6.982437,7.836973,8.918935,7.436764,7.512825,7.239903,5.900031,6.925688,6.373808,6.832141,6.352996,6.401157,7.764077,5.125089,6.526814,8.664184,5.543433,7.239304,7.575286,8.219167,6.619805,6.695344,6.859513,7.222567,8.148525,9.48073,6.795895,8.160582,6.539657,5.95025,7.685722,7.83615, + 0.8512363,0.3741792,0.5092227,1.595365,2.45629,0.5835309,2.011396,1.272457,1.316766,1.049471,1.017571,1.092129,1.964258,3.155406,2.545687,1.19229,2.163237,2.166644,3.118184,1.258013,2.11545,2.142242,2.688265,2.124763,1.52775,2.559773,2.090784,3.320514,1.251079,2.110593,1.596187,1.222253,3.106181,0,2.311871,1.022546,2.938631,2.054016,2.34577,1.581423,1.2455,2.083682,1.832324,1.53786,1.915155,1.850403,0.455837,2.906085,2.287708,0.4189095,6.027441,9.007922,8.653996,8.467146,6.948613,6.506319,6.266589,6.494252,7.492665,5.765744,8.464688,6.908591,6.360469,5.787591,6.418264,7.486658,7.888169,6.523397,7.817936,8.190178,6.461371,6.35366,8.789214,9.192884,6.639672,6.639515,6.261822,6.646784,8.010338,8.051122,7.622739,8.060377,7.252551,6.902422,5.793898,7.619108,7.987653,8.486677,5.820445,5.315574,5.617196,3.995098,6.977508,6.96168,6.87072,9.30169,7.874865,7.125663,7.946374,5.693081,14.02044,13.878,13.78353,11.59794,11.07262,13.2689,13.07806,12.70019,11.6375,12.87114,12.00298,14.7856,13.83256,12.46795,12.79382,12.03077,13.05708,13.33266,13.38557,12.61696,12.2281,11.1696,13.87373,14.3243,12.74543,13.03557,13.48504,10.71889,12.73819,13.01062,14.64724,13.37327,13.58948,11.88651,11.69042,12.52962,11.95518,12.07032,15.64878,11.29133,12.1611,11.87827,14.6043,12.26113,12.30447,13.57091,13.89469,13.30068,13.59416,12.24289,9.203952,8.245553,10.14357,10.25664,10.42413,9.074073,8.670118,10.21629,10.25145,9.598825,9.354741,9.36366,10.6137,9.568712,8.791016,8.496176,9.711753,10.05509,9.984076,10.73855,11.73546,10.01005,10.142,10.20128,8.592883,9.83245,9.345735,9.645899,9.151985,9.311809,10.7007,8.125394,9.44437,11.55414,8.600633,9.824573,10.52459,10.95147,9.707264,9.716121,9.647496,10.11431,10.63706,12.5066,9.66433,10.66765,9.242716,8.89414,10.61077,10.79385, + 1.629601,2.051899,1.83947,3.12152,1.495773,1.749935,2.730714,1.087849,2.63552,1.764789,2.000648,2.790788,1.823074,3.166529,1.598773,3.401874,2.139113,0.8474176,1.998871,1.377539,1.488638,0.2210882,2.578847,3.517636,0.7942362,1.094069,0.879012,1.346108,1.236661,2.850514,1.896862,1.256161,2.734684,2.311871,0,2.828004,0.6271793,3.084759,2.186855,2.936885,1.074262,0.6570205,0.914303,3.215075,0.7369959,1.448163,1.873192,1.485229,3.538033,1.893426,3.917796,7.598847,6.656848,6.754961,5.207678,4.758125,4.463586,4.432055,5.659106,4.166012,6.7938,5.052292,4.436048,4.547241,4.598617,5.947312,6.020618,4.43072,5.845477,6.166837,5.279752,4.627374,6.841389,7.279956,4.8341,4.862265,4.44174,4.871058,6.568863,6.502192,5.786071,6.102419,5.528221,5.378098,4.533115,5.614723,6.023787,6.391846,4.301998,3.455304,4.060766,3.282723,5.160619,5.134947,4.974143,7.732759,5.848805,5.372108,6.367102,3.723761,12.19032,11.91892,12.0203,9.797981,9.23517,11.34098,11.2727,10.86181,10.07393,11.04911,10.30428,12.75586,12.12176,10.62022,10.85761,10.0351,11.25332,11.55871,11.48568,10.81928,10.4129,9.215475,11.83685,12.55239,10.86132,10.99679,11.69442,8.83246,10.68378,11.29435,12.71837,11.51755,12.05116,10.02478,9.68242,10.74427,10.0114,10.03955,13.74874,9.207913,10.39736,10.2467,12.74528,10.25194,10.55711,11.55802,12.1816,11.35272,11.60829,10.42046,9.223788,8.315966,10.23101,9.983673,9.933507,8.705234,8.48958,9.695203,9.896139,9.670093,8.805602,8.981775,10.19967,9.001875,8.757208,8.288791,9.566113,9.368396,9.481073,10.4304,11.55933,10.16116,10.22762,9.784857,8.609758,9.525366,8.920003,9.491046,9.023465,9.004641,10.32775,7.66141,9.123022,11.25877,7.970443,9.96267,10.12865,10.90191,8.924676,9.169425,9.530069,9.830186,10.87998,11.90724,9.424405,10.89055,9.242369,8.532197,10.261,10.37749, + 1.211871,0.9436867,1.401635,0.5849461,2.376887,1.429499,1.264154,1.754392,0.5171921,1.086476,0.8658679,0.1234357,1.705435,2.47728,2.429443,1.693377,1.747955,2.369438,4.03418,2.144705,2.026019,2.717258,2.148634,1.109826,2.059588,2.665087,2.288025,3.497491,1.592583,1.323917,1.320006,1.572149,2.594751,1.022546,2.828004,0,3.416766,1.149507,1.92869,0.6364461,1.81022,2.380131,2.068071,0.51683,2.216191,1.801287,1.160299,2.898365,1.289284,1.215626,6.126118,8.600745,8.602729,8.230347,6.764846,6.340732,6.141769,6.539908,7.350627,5.547637,8.204248,6.796293,6.309411,5.394293,6.298255,7.177314,7.759104,6.593513,7.763171,8.167257,6.01414,6.180771,8.698841,9.071311,6.503832,6.486637,6.147514,6.492766,7.63886,7.733142,7.479596,7.990216,7.050573,6.602056,5.40955,7.592379,7.923206,8.519403,5.558027,5.265649,5.383723,3.503751,6.838497,6.829229,6.785679,8.97045,7.859898,6.944245,7.646731,5.696524,13.79469,13.74511,13.51634,11.37169,10.87602,13.11654,12.84266,12.48936,11.27355,12.64817,11.71092,14.70491,13.53309,12.26524,12.65101,11.93971,12.8208,13.07535,13.21207,12.38022,12.00592,11.05401,13.8042,14.059,12.56545,12.97293,13.23719,10.55919,12.6912,12.72041,14.48697,13.16909,13.19554,11.69825,11.61214,12.28575,11.82467,12.0078,15.46212,11.28162,11.90685,11.54898,14.39446,12.17919,12.03887,13.4829,13.59616,13.16307,13.48403,12.0253,8.302207,7.341656,9.220662,9.416855,9.643977,8.27278,7.822069,9.447369,9.433953,8.682905,8.604291,8.562706,9.809477,8.821204,7.905317,7.657328,8.844282,9.340809,9.212072,9.904124,10.86099,9.075429,9.219475,9.401506,7.697456,9.005647,8.55776,8.781285,8.285509,8.490392,9.884188,7.36617,8.625432,10.71048,7.887215,8.89361,9.716012,10.05258,9.030132,8.960534,8.773714,9.278717,9.68257,11.74272,8.821223,9.716463,8.345143,8.093099,9.788623,9.988744, + 2.235879,2.672553,2.466043,3.668417,1.724828,2.3768,3.181453,1.701503,3.183186,2.337247,2.569724,3.370997,2.223343,3.425751,1.803664,4.024497,2.509154,1.200549,2.094859,1.964124,1.837637,0.8169083,2.866004,4.029862,1.416302,1.23726,1.264201,1.04979,1.826995,3.294675,2.378582,1.849239,2.931794,2.938631,0.6271793,3.416766,0,3.561912,2.515654,3.47074,1.69809,1.088089,1.399768,3.776982,1.228555,1.876074,2.497984,1.510144,4.027126,2.52,3.376659,7.273543,6.137594,6.336041,4.79816,4.35401,4.043756,3.905482,5.208369,3.835455,6.388852,4.600922,3.967068,4.338765,4.169366,5.599267,5.553373,3.891281,5.340863,5.640979,5.069646,4.234577,6.33867,6.786862,4.406084,4.444821,4.015451,4.454047,6.245352,6.142833,5.332699,5.601153,5.119867,5.045526,4.317836,5.099924,5.520949,5.838546,3.998841,3.037862,3.750886,3.323124,4.722884,4.693808,4.508114,7.353412,5.32403,4.955217,5.998994,3.249318,11.70602,11.39523,11.55712,9.330501,8.757812,10.82818,10.79851,10.37844,9.680547,10.57034,9.867103,12.20907,11.67449,10.13462,10.34332,9.503814,10.7797,11.0935,10.98133,10.34889,9.938302,8.699971,11.28914,12.08516,10.3635,10.44982,11.22364,8.340676,10.13242,10.84796,12.20256,11.02694,11.6571,9.536605,9.148008,10.27802,9.496875,9.496961,13.24,8.650025,9.939174,9.831008,12.25086,9.715818,10.10353,11.01821,11.73344,10.83361,11.07683,9.943529,9.303028,8.419576,10.31868,9.975045,9.863967,8.683048,8.522713,9.619151,9.865267,9.758595,8.730681,8.952702,10.14953,8.919657,8.827222,8.317097,9.596732,9.247542,9.412265,10.40805,11.56503,10.26645,10.31483,9.737774,8.695261,9.511595,8.87918,9.519888,9.064548,8.996365,10.28809,7.626135,9.109457,11.23357,7.882314,10.06627,10.08424,10.94705,8.780059,9.091236,9.568796,9.819872,11.00374,11.79198,9.430397,11.00893,9.31596,8.514068,10.22843,10.32518, + 1.785441,1.820368,2.272495,0.6550819,2.054931,2.260397,0.4169061,2.199592,0.7377639,1.47342,1.279299,1.034773,1.378666,1.437441,2.052443,2.839167,1.192381,2.368447,4.700703,2.893918,1.787066,3.053561,1.307401,0.5541797,2.469747,2.495792,2.299878,3.293612,1.967983,0.3525585,1.189447,1.963381,1.720311,2.054016,3.084759,1.149507,3.561912,0,1.305916,0.5137726,2.313634,2.47792,2.178419,0.8515982,2.356249,1.689394,1.9899,2.561838,0.4719488,2.076657,5.683711,7.645504,7.955488,7.416557,6.021143,5.623258,5.46875,6.029441,6.635466,4.800499,7.370302,6.120165,5.705544,4.491522,5.625981,6.314448,7.049559,6.107334,7.125067,7.55406,5.05565,5.46009,8.01283,8.351666,5.811262,5.778032,5.484701,5.782931,6.719411,6.856012,6.761233,7.333452,6.28472,5.755779,4.514126,6.984965,7.273041,7.956635,4.768642,4.696699,4.626777,2.578353,6.135724,6.132937,6.136451,8.070695,7.259562,6.199333,6.785962,5.167321,12.9532,12.98254,12.64259,10.54118,10.07375,12.33987,11.99717,11.66582,10.33497,11.81378,10.82516,13.98472,12.63415,11.44964,11.88499,11.22419,11.97469,12.21117,12.41672,11.53574,11.17533,10.32213,13.09815,13.18481,11.76765,12.27746,12.37996,9.791411,12.01187,11.83166,13.69762,12.34799,12.22856,10.89803,10.91053,11.43589,11.07424,11.31819,14.64707,10.64723,11.05037,10.63514,13.56381,11.47054,11.17258,12.76157,12.69772,12.39905,12.74281,11.19844,7.166547,6.206517,8.096037,8.267794,8.497944,7.124581,6.673393,8.303299,8.284552,7.554137,7.464756,7.414461,8.660709,7.682196,6.763756,6.50803,7.69856,8.210701,8.067563,8.754829,9.717248,7.958601,8.094621,8.253174,6.559066,7.856142,7.411031,7.635016,7.139442,7.340944,8.734791,6.225785,7.476041,9.561838,6.75954,7.774132,8.566974,8.9163,7.913803,7.819499,7.629304,8.129426,8.583051,10.59862,7.672313,8.613679,7.207822,6.944979,8.639125,8.83989, + 1.625559,1.983757,2.271788,1.758904,0.8243909,2.210591,0.8938034,1.70876,1.428604,1.321348,1.33183,1.813772,0.449412,1.011803,0.7882965,3.45289,0.186662,1.34906,4.087952,2.586338,0.6984573,2.239159,0.4200716,1.858732,1.854314,1.31476,1.308547,2.041322,1.492735,0.9591771,0.7514879,1.508264,0.7691265,2.34577,2.186855,1.92869,2.515654,1.305916,0,1.526444,1.850744,1.529968,1.322878,1.949308,1.479983,0.7971413,2.02912,1.283646,1.757667,2.123854,4.381994,6.706812,6.722025,6.301917,4.845043,4.427134,4.243676,4.740611,5.439861,3.624687,6.275677,4.898754,4.44652,3.487392,4.400957,5.252203,5.850916,4.813351,5.885472,6.303668,4.135975,4.265832,6.800923,7.161596,4.599059,4.576196,4.253836,4.581936,5.729358,5.810039,5.568037,6.103866,5.126629,4.675218,3.499308,5.730887,6.03986,6.687161,3.629738,3.420323,3.458676,1.649816,4.930856,4.923884,4.900168,7.051353,6.003073,5.024453,5.720774,3.880718,11.866,11.82642,11.58945,9.443088,8.949255,11.19453,10.914,10.56114,9.365643,10.71954,9.786391,12.79905,11.61044,10.33752,10.73108,10.03396,10.89216,11.14759,11.28686,10.45157,10.07735,9.142264,11.903,12.13205,10.63973,11.07534,11.30893,8.637834,10.80011,10.79601,12.56303,11.2411,11.30013,9.771968,9.711218,10.35724,9.908145,10.1119,13.53492,9.410782,9.978709,9.631449,12.46605,10.27605,10.1115,11.57607,11.67337,11.24381,11.57091,10.09687,7.199824,6.264434,8.187411,8.105734,8.18702,6.873475,6.551132,7.967718,8.064734,7.629021,7.091946,7.160075,8.405686,7.301883,6.752017,6.362316,7.619004,7.758521,7.740171,8.574883,9.639265,8.09411,8.184689,7.9899,6.581952,7.663486,7.125084,7.547924,7.063873,7.138979,8.509442,5.880797,7.26642,9.400533,6.309753,7.898951,8.323113,8.918483,7.388929,7.456379,7.569074,7.957432,8.786932,10.24371,7.524652,8.803755,7.226878,6.69486,8.428544,8.585941, + 1.463591,1.392143,1.858736,0.2340549,2.148598,1.860834,0.707397,1.948342,0.3231766,1.202392,0.9738319,0.5243283,1.442164,1.894771,2.173316,2.325559,1.368515,2.319038,4.394567,2.537222,1.829182,2.870559,1.651136,0.6104827,2.241904,2.528464,2.242394,3.357467,1.736063,0.7338513,1.131161,1.724584,2.091119,1.581423,2.936885,0.6364461,3.47074,0.5137726,1.526444,0,2.042352,2.386706,2.071696,0.4244606,2.242343,1.663825,1.583416,2.675849,0.7215184,1.661755,5.876229,8.07712,8.247704,7.783808,6.353749,5.942698,5.76709,6.25453,6.956284,5.13116,7.746672,6.421828,5.972615,4.894455,5.92447,6.702536,7.368615,6.321526,7.411591,7.830063,5.485831,5.780546,8.32277,8.677362,6.119691,6.093791,5.778354,6.099273,7.133941,7.251407,7.083775,7.628914,6.628122,6.135229,4.913657,7.257152,7.565373,8.210433,5.119031,4.943401,4.96141,2.984407,6.449714,6.443932,6.425754,8.477653,7.529108,6.532903,7.173789,5.39774,13.33708,13.33134,13.04064,10.91891,10.43849,12.69462,12.38239,12.0411,10.76076,12.19397,11.22771,14.31515,13.04334,11.82126,12.23472,11.55088,12.36018,12.6048,12.77984,11.92028,11.55348,10.65544,13.42181,13.58327,12.13151,12.5959,12.77058,10.14041,12.32291,12.23602,14.05868,12.72254,12.66758,11.26243,11.23073,11.82277,11.41647,11.63333,15.01989,10.93699,11.44,11.05009,13.94313,11.79432,11.56664,13.09186,13.10672,12.74819,13.08197,11.57494,7.670129,6.709716,8.59333,8.78042,9.011255,7.638318,7.185627,8.816061,8.798177,8.05373,7.97601,7.928203,9.174482,8.193274,7.27093,7.02095,8.208503,8.71851,8.580451,9.267741,10.22589,8.45154,8.592042,8.766926,7.064257,8.369505,7.9245,8.145344,7.64962,7.854526,9.248418,6.73728,7.989676,10.07404,7.266272,8.268514,9.080727,9.420337,8.416105,8.331281,8.138351,8.642333,9.066699,11.11142,8.184778,9.09908,7.712401,7.458706,9.1526,9.353659, + 0.6011401,0.9790013,0.8063235,2.190422,1.548113,0.7133578,2.045294,0.1420172,1.721313,0.84709,1.068722,1.792845,1.402124,2.84847,1.659407,2.380331,1.719965,1.042772,2.389027,0.7433388,1.299322,0.9255299,2.268671,2.650462,0.2825456,1.465403,0.9834863,2.134427,0.3723414,2.170324,1.242892,0.366325,2.580395,1.2455,1.074262,1.81022,1.69809,2.313634,1.850744,2.042352,0,0.9007087,0.7439933,2.24832,0.7503756,1.081992,0.8000111,1.869039,2.719903,0.8269554,4.833537,8.124688,7.511318,7.443731,5.903126,5.454064,5.189707,5.319027,6.412117,4.767066,7.459397,5.815117,5.236234,4.947774,5.33598,6.533067,6.795582,5.337381,6.682372,7.035754,5.659874,5.30905,7.666983,8.08639,5.564916,5.576396,5.178014,5.584354,7.105233,7.097561,6.541625,6.931537,6.216396,5.950124,4.944843,6.470208,6.856166,7.305415,4.857277,4.206227,4.634598,3.351175,5.90061,5.880627,5.76079,8.346501,6.718407,6.076204,6.978493,4.546881,12.96015,12.76055,12.75311,10.54671,10.00361,12.16425,12.02739,11.6341,10.69396,11.81263,10.99829,13.63868,12.8262,11.39729,11.68492,10.89538,12.00709,12.29659,12.29335,11.56889,11.17144,10.05041,12.72302,13.29079,11.6592,11.88328,12.4417,9.627739,11.5791,12.00018,13.54383,12.30058,12.66293,10.80859,10.54937,11.48691,10.84175,10.92028,14.55917,10.11887,11.12734,10.90399,13.53183,11.12035,11.27841,12.43005,12.88738,12.18736,12.46485,11.18304,9.046921,8.107612,10.03001,9.950271,10.00468,8.708486,8.400674,9.779715,9.901616,9.47274,8.897572,8.993566,10.23534,9.104029,8.60149,8.210795,9.469403,9.53232,9.555341,10.41657,11.48888,9.930393,10.02744,9.819085,8.429059,9.505181,8.952562,9.398144,8.914517,8.980606,10.34438,7.70126,9.106721,11.24337,8.095478,9.736554,10.15516,10.76858,9.133489,9.262901,9.419791,9.801103,10.61165,12.0415,9.371395,10.6314,9.075047,8.530643,10.2661,10.41533, + 1.272803,1.756481,1.695542,2.58911,0.8789991,1.603019,2.105822,0.8255961,2.106168,1.294158,1.517112,2.322074,1.172867,2.514791,0.9898561,3.255914,1.484194,0.2153904,2.606106,1.517087,0.8320461,0.7284276,1.924676,2.941801,0.674414,0.6023909,0.2249446,1.241637,0.8464066,2.222313,1.291455,0.8739391,2.101911,2.083682,0.6570205,2.380131,1.088089,2.47792,1.529968,2.386706,0.9007087,0,0.3169707,2.706635,0.1710377,0.8048376,1.628195,1.025683,2.941005,1.679617,3.948184,7.283338,6.611859,6.556448,5.012684,4.562802,4.29375,4.425609,5.514473,3.894105,6.576868,4.916193,4.335531,4.145997,4.438944,5.669419,5.896312,4.448232,5.782142,6.137848,4.870536,4.419944,6.766305,7.185899,4.668891,4.68256,4.280901,4.690648,6.258378,6.232241,5.643823,6.030989,5.327701,5.089123,4.138248,5.57128,5.955725,6.415019,3.997598,3.306674,3.768479,2.717421,5.003898,4.983289,4.860481,7.477849,5.820777,5.184586,6.108506,3.646976,12.06307,11.85991,11.86095,9.651582,9.106027,11.26362,11.1319,10.73651,9.825746,10.91603,10.11249,12.7405,11.93906,10.4992,10.78423,9.995613,11.11172,11.40352,11.39323,10.67395,10.27527,9.149752,11.82537,12.39789,10.75954,10.98582,11.5473,8.727951,10.68294,11.11249,12.6432,11.4021,11.79826,9.909802,9.65015,10.59291,9.941041,10.02234,13.65906,9.226006,10.23512,10.02626,12.63322,10.22116,10.38767,11.53097,12.00001,11.28666,11.56472,10.2864,8.611394,7.695458,9.614249,9.410945,9.395887,8.142306,7.89848,9.162157,9.3357,9.053579,8.273951,8.422108,9.649806,8.474398,8.149204,7.700408,8.974395,8.866033,8.943946,9.864357,10.97715,9.538047,9.611037,9.233951,7.995705,8.956163,8.367238,8.900282,8.427715,8.433472,9.771556,7.108764,8.554467,10.69311,7.449882,9.340326,9.575555,10.30191,8.440751,8.638938,8.934631,9.258603,10.25018,11.3959,8.845005,10.26246,8.632223,7.967409,9.700896,9.82859, + 0.9966205,1.488338,1.487726,2.272713,0.8246995,1.397787,1.817253,0.6325443,1.789389,0.9841733,1.203376,2.007647,0.9227544,2.329905,0.93885,3.018391,1.248373,0.3344852,2.766001,1.448702,0.652621,0.9263082,1.734916,2.631872,0.6043562,0.739386,0.2590471,1.494901,0.5812855,1.936536,0.9890254,0.6101489,1.968024,1.832324,0.914303,2.068071,1.399768,2.178419,1.322878,2.071696,0.7439933,0.3169707,0,2.389671,0.1782033,0.5433143,1.381874,1.128682,2.637658,1.4438,4.197916,7.380712,6.828313,6.7125,5.175906,4.728194,4.47152,4.661928,5.696702,4.028768,6.7246,5.104309,4.540184,4.20745,4.620032,5.791164,6.085318,4.69182,5.994326,6.360953,4.922517,4.580877,6.971629,7.383221,4.846449,4.853986,4.462447,4.861733,6.361309,6.355911,5.826544,6.239531,5.487104,5.20783,4.203698,5.791077,6.165698,6.654388,4.115094,3.500611,3.894048,2.665,5.183314,5.164863,5.057564,7.605473,6.045064,5.350263,6.238137,3.864533,12.24097,12.06438,12.02569,9.824074,9.28631,11.46175,11.30508,10.91641,9.952531,11.09259,10.26495,12.95994,12.09365,10.68106,10.98427,10.2088,11.28458,11.57043,11.58548,10.8457,10.45063,9.354429,12.04675,12.56425,10.94875,11.20801,11.71747,8.918538,10.90881,11.26821,12.84108,11.58532,11.92057,10.09473,9.866243,10.76224,10.14307,10.24326,13.85075,9.459493,10.40026,10.16585,12.8168,10.43718,10.54955,11.74718,12.15503,11.48899,11.77503,10.46321,8.483224,7.557556,9.479527,9.325726,9.342708,8.068122,7.796138,9.113144,9.262295,8.919658,8.227377,8.350578,9.585661,8.430995,8.027023,7.601295,8.870057,8.842065,8.891762,9.785117,10.88106,9.394737,9.47655,9.16936,7.866086,8.874893,8.302122,8.797059,8.319546,8.350954,9.701584,7.045915,8.474329,10.61347,7.413948,9.198252,9.508597,10.18711,8.431287,8.592787,8.826237,9.17467,10.09655,11.36211,8.753759,10.11143,8.506859,7.891726,9.627398,9.765115, + 1.648521,1.447402,1.911588,0.2029666,2.545225,1.934144,1.123711,2.174184,0.6073642,1.450643,1.21453,0.4755862,1.840981,2.282366,2.57664,2.067442,1.788467,2.66092,4.529596,2.643799,2.214849,3.126243,2.07153,0.625405,2.477432,2.901731,2.581776,3.735628,1.984835,1.134918,1.502646,1.968616,2.508865,1.53786,3.215075,0.51683,3.776982,0.8515982,1.949308,0.4244606,2.24832,2.706635,2.389671,0,2.552674,2.029159,1.660259,3.073818,0.8332441,1.721942,6.285757,8.481765,8.67119,8.205403,6.777965,6.367153,6.191167,6.670288,7.380743,5.55534,8.166932,6.845969,6.394388,5.308221,6.348536,7.120446,7.793074,6.735226,7.834777,8.252293,5.890492,6.204993,8.747073,9.101805,6.544052,6.518247,6.202217,6.523731,7.544922,7.667807,7.508226,8.052655,7.051843,6.554663,5.328335,7.679114,7.988935,8.629976,5.541992,5.363275,5.385402,3.395801,6.874151,6.868328,6.849273,8.891219,7.950739,6.957097,7.59185,5.814945,13.75652,13.75506,13.45702,11.33927,10.86064,13.11788,12.80153,12.46192,11.16815,12.614,11.64281,14.73958,13.45668,12.24261,12.65835,11.97533,12.77927,13.0222,13.20229,12.33952,11.97381,11.07978,13.84627,13.99958,12.55385,13.02031,13.18865,10.56401,12.74714,12.65071,14.48139,13.14351,13.0692,11.68467,11.65518,12.24155,11.8405,12.05768,15.44121,11.36009,11.85819,11.46146,14.3634,12.21878,11.98387,13.51629,13.52012,13.17186,13.50617,11.99554,7.885175,6.925038,8.787763,9.038831,9.303211,7.922086,7.442192,9.114036,9.07015,8.255532,8.284683,8.21144,9.453312,8.502779,7.499995,7.28399,8.449285,9.041284,8.877387,9.528663,10.45843,8.634566,8.786837,9.048985,7.285929,8.636793,8.214749,8.388292,7.892292,8.126196,9.520139,7.045389,8.262502,10.32788,7.593036,8.455516,9.357293,9.634931,8.753974,8.636711,8.374669,8.903654,9.227079,11.4081,8.442229,9.263296,7.930882,7.743085,9.421179,9.631683, + 1.101768,1.5859,1.535353,2.44032,0.9103202,1.443262,1.995342,0.6647552,1.955625,1.129717,1.355563,2.160682,1.092526,2.481037,1.024571,3.090394,1.414868,0.2985142,2.617531,1.404245,0.793934,0.759953,1.886826,2.806732,0.550337,0.7203735,0.2560646,1.406993,0.6754344,2.114468,1.166804,0.7030319,2.09814,1.915155,0.7369959,2.216191,1.228555,2.356249,1.479983,2.242343,0.7503756,0.1710377,0.1782033,2.552674,0,0.7144256,1.460042,1.134984,2.814803,1.513307,4.114326,7.399055,6.770136,6.695004,5.153435,4.704169,4.439346,4.588784,5.661961,4.02365,6.712363,5.065479,4.489894,4.245002,4.585729,5.794661,6.046122,4.613123,5.939082,6.297897,4.965708,4.559649,6.921364,7.338563,4.814555,4.826104,4.42778,4.834076,6.376159,6.358407,5.791507,6.186902,5.467174,5.212948,4.239028,5.730344,6.112047,6.579188,4.120391,3.4572,3.894359,2.759615,5.150302,5.130417,5.012642,7.605836,5.981101,5.326267,6.236983,3.804928,12.20983,12.0151,12.00319,9.796355,9.253389,11.41686,11.27702,10.88387,9.953721,11.06228,10.2502,12.89998,12.07768,10.64719,10.93803,10.15324,11.25673,11.54649,11.54464,10.81855,10.42107,9.304847,11.98534,12.54073,10.90994,11.14597,11.69141,8.878648,10.84405,11.25147,12.79642,11.55059,11.92465,10.05876,9.808576,10.73666,10.09539,10.18211,13.81039,9.388962,10.37739,10.15918,12.7819,10.37959,10.5288,11.68952,12.13879,11.44118,11.7216,10.43269,8.614748,7.692933,9.61387,9.438761,9.440915,8.175942,7.916542,9.209334,9.369943,9.053608,8.322255,8.457224,9.689063,8.524384,8.155978,7.720246,8.991502,8.926021,8.989431,9.895502,10.99912,9.53254,9.610797,9.272914,7.998118,8.986079,8.405785,8.918007,8.442572,8.462625,9.807707,7.148263,8.584939,10.72413,7.503516,9.335539,9.613299,10.31322,8.507911,8.687526,8.949434,9.287104,10.23849,11.45121,8.869417,10.25236,8.637219,8.000202,9.735137,9.868227, + 1.018016,1.477251,1.64012,1.883761,0.6121904,1.563403,1.305535,0.9413163,1.422999,0.8235031,0.9700797,1.716391,0.3795231,1.808939,0.695806,3.032866,0.7069897,0.6790677,3.296035,1.825226,0.2651541,1.469619,1.216071,2.179201,1.058947,0.8736702,0.6119147,1.708929,0.7527932,1.419937,0.5327393,0.7745586,1.499731,1.850403,1.448163,1.801287,1.876074,1.689394,0.7971413,1.663825,1.081992,0.8048376,0.5433143,2.029159,0.7144256,0,1.44845,1.107931,2.158087,1.533089,4.329005,7.177935,6.860267,6.618341,5.105486,4.666107,4.436883,4.754841,5.660595,3.916342,6.614491,5.084883,4.561353,3.966909,4.590572,5.638582,6.060862,4.802493,6.020849,6.410606,4.660118,4.511557,6.977845,7.370213,4.807562,4.802665,4.43561,4.809657,6.172518,6.203437,5.790592,6.256493,5.40679,5.054056,3.969621,5.836227,6.186271,6.742138,3.970384,3.512937,3.76692,2.282056,5.145255,5.131377,5.057511,7.454499,6.099194,5.283277,6.097049,3.922452,12.17545,12.05575,11.93405,9.751947,9.231332,11.44008,11.23142,10.85713,9.793387,11.02616,10.15258,12.98431,11.98217,10.62628,10.96762,10.22302,11.21033,11.4838,11.55095,10.77,10.38298,9.351389,12.07691,12.47502,10.90884,11.24139,11.63709,8.88606,10.95148,11.16023,12.81686,11.53175,11.74995,10.0475,9.887881,10.68183,10.13239,10.27539,13.81196,9.52362,10.31223,10.02956,12.76219,10.45749,10.45483,11.76565,12.04429,11.4765,11.77996,10.39849,7.990654,7.058032,8.980982,8.87171,8.922981,7.627179,7.327212,8.698494,8.820532,8.422117,7.816998,7.912032,9.153444,8.02397,7.539905,7.135739,8.398002,8.45785,8.473805,9.336703,10.41506,8.889745,8.978191,8.737172,7.372897,8.425411,7.870606,8.326119,7.844537,7.900874,9.262957,6.619318,8.026534,10.16388,7.017974,8.694287,9.073422,9.704555,8.066316,8.182262,8.350494,8.722119,9.58395,10.96256,8.294376,9.600586,8.016591,7.449475,9.185121,9.333418, + 0.4304379,0.2184572,0.2834581,1.662285,2.041708,0.2780235,1.856128,0.817881,1.273901,0.7085974,0.770014,1.184833,1.615013,2.915496,2.136911,1.636595,1.855067,1.715538,2.873882,0.9846989,1.71246,1.713916,2.403248,2.178355,1.082334,2.114377,1.640836,2.866206,0.8011731,1.969472,1.282638,0.7722459,2.798097,0.455837,1.873192,1.160299,2.497984,1.9899,2.02912,1.583416,0.8000111,1.628195,1.381874,1.660259,1.460042,1.44845,0,2.471862,2.304521,0.09652344,5.573484,8.625635,8.208634,8.047902,6.522863,6.078575,5.833201,6.042792,7.059505,5.349289,8.049886,6.472247,5.917583,5.411457,5.983875,7.083912,7.452643,6.070481,7.373638,7.74255,6.097539,5.927463,8.347891,8.754977,6.2071,6.20949,5.826963,6.216918,7.620967,7.649039,7.189542,7.617469,6.829256,6.499208,5.415307,7.172282,7.544202,8.03478,5.412633,4.874617,5.204268,3.663845,6.544761,6.52802,6.430966,8.900342,7.426795,6.699172,7.540502,5.245818,13.59446,13.43882,13.36489,11.17351,10.64378,12.83244,12.65421,12.27251,11.24075,12.44533,11.59031,14.34043,13.42008,12.03913,12.35633,11.58755,12.63339,12.91248,12.95194,12.19362,11.80256,10.72957,13.42773,13.90502,12.31304,12.58918,13.06309,10.28485,12.2905,12.59683,14.21128,12.94418,13.19826,11.45583,11.24602,12.10757,11.51654,11.62424,15.21612,10.84116,11.74115,11.47345,14.17551,11.81687,11.88649,13.12681,13.48197,12.86231,13.15242,11.81658,9.051565,8.097588,10.00819,10.05498,10.18508,8.850494,8.47792,9.971313,10.03519,9.458047,9.10166,9.139143,10.38849,9.313566,8.626456,8.298181,9.53091,9.782028,9.741308,10.53236,11.55622,9.886405,10.00626,9.974179,8.436768,9.623057,9.113556,9.463088,8.971724,9.100149,10.48295,7.8805,9.230805,11.35284,8.330698,9.697631,10.30221,10.79315,9.417543,9.464937,9.471552,9.910116,10.5338,12.25508,9.466201,10.56056,9.086708,8.670887,10.39678,10.56884, + 2.054914,2.541443,2.607166,2.907211,0.5286538,2.519128,2.145029,1.761226,2.481593,1.920684,2.078003,2.806702,1.234032,2.005354,0.5098711,4.098213,1.370233,0.8366453,3.471491,2.537362,0.8724647,1.650426,1.514645,3.104107,1.684983,0.4240473,0.8871046,0.7672431,1.681271,2.227564,1.5862,1.709701,1.467691,2.906085,1.485229,2.898365,1.510144,2.561838,1.283646,2.675849,1.869039,1.025683,1.128682,3.073818,1.134984,1.107931,2.471862,0,3.02608,2.543844,3.228057,6.264072,5.760274,5.586959,4.054434,3.608533,3.361516,3.647207,4.587813,2.900128,5.59692,4.002507,3.462184,3.120931,3.512606,4.664079,4.982185,3.696562,4.92175,5.306372,3.846826,3.458977,5.886245,6.287008,3.735268,3.738031,3.355961,3.745523,5.241367,5.228526,4.717864,5.160523,4.363516,4.081336,3.112766,4.7325,5.089084,5.634231,2.98848,2.414416,2.765763,1.824292,4.072963,4.056459,3.966443,6.477549,4.994026,4.22992,5.109811,2.815319,11.12433,10.97248,10.9021,8.704811,8.172379,10.36283,10.18578,9.801511,8.824931,9.975391,9.137722,11.88863,10.96675,9.567676,9.887776,9.130046,10.16511,10.44786,10.48053,9.725723,9.332878,8.264804,10.97929,11.44126,9.841281,10.14267,10.59644,7.813567,9.850303,10.14168,11.74125,10.47262,10.79406,8.983998,8.792295,9.640994,9.049468,9.17677,12.74445,8.418056,9.277126,9.037177,11.70401,9.362514,9.425075,10.67164,11.02823,10.39483,10.6909,9.346381,7.800086,6.911448,8.814083,8.512429,8.449032,7.229038,7.035971,8.210264,8.418138,8.253629,7.320624,7.503847,8.717699,7.516676,7.326613,6.832509,8.111818,7.885829,7.996587,8.954929,10.09422,8.758586,8.810338,8.3033,7.190539,8.052165,7.439346,8.035787,7.574594,7.533032,8.847833,6.18132,7.649688,9.782765,6.485275,8.558613,8.647703,9.4563,7.447492,7.684343,8.080148,8.358287,9.494054,10.4233,7.958481,9.499664,7.814552,7.057101,8.782708,8.895198, + 2.161458,2.113444,2.580254,0.7050159,2.523567,2.581662,0.8836633,2.614395,1.034564,1.872834,1.658587,1.200115,1.850597,1.707167,2.517676,2.899927,1.655917,2.836806,5.093955,3.251283,2.258999,3.497115,1.703872,0.2312316,2.895611,2.96755,2.767182,3.762716,2.389311,0.7996511,1.649754,2.381895,2.083054,2.287708,3.538033,1.289284,4.027126,0.4719488,1.757667,0.7215184,2.719903,2.941005,2.637658,0.8332441,2.814803,2.158087,2.304521,3.02608,0,2.383264,6.119005,7.89119,8.336468,7.738752,6.377005,5.990331,5.850963,6.450616,6.998831,5.162126,7.683588,6.498379,6.10614,4.786246,6.007634,6.618187,7.413348,6.53318,7.51106,7.945844,5.312098,5.826934,8.381572,8.70813,6.185654,6.147322,5.869911,6.151786,6.990849,7.150151,7.123019,7.71329,6.631061,6.070401,4.812651,7.379953,7.655041,8.360551,5.114405,5.110909,4.986093,2.887951,6.50531,6.504668,6.522712,8.348454,7.655634,6.553938,7.088659,5.587937,13.25148,13.31506,12.92524,10.84816,10.39419,12.6675,12.29478,11.97418,10.58448,12.11691,11.1042,14.33221,12.90331,11.7619,12.21752,11.57662,12.27204,12.49928,12.73647,11.83451,11.48119,10.67009,13.45157,13.46657,12.08722,12.63546,12.67131,10.12665,12.37559,12.1075,14.01842,12.65651,12.45644,11.21789,11.26828,11.73221,11.41402,11.67941,14.95576,11.02682,11.34407,10.89893,13.86649,11.82503,11.46117,13.10994,12.96708,12.73169,13.08386,11.50599,7.05237,6.092366,7.954843,8.215804,8.498658,7.112991,6.619208,8.314199,8.253343,7.422303,7.494932,7.401754,8.64009,7.713564,6.669055,6.463905,7.620668,8.265214,8.076925,8.706471,9.627588,7.802757,7.953894,8.237948,6.453888,7.817864,7.409837,7.560275,7.064366,7.309793,8.702977,6.256844,7.446625,9.502723,6.823744,7.623209,8.542823,8.801977,7.997256,7.843602,7.544985,8.081884,8.399889,10.60582,7.619074,8.435136,7.098378,6.934557,8.602488,8.817899, + 0.5166866,0.2752164,0.1971432,1.732402,2.121801,0.2145216,1.949603,0.8600611,1.355868,0.8040566,0.865552,1.247781,1.707628,3.012019,2.218554,1.577341,1.95038,1.775973,2.822291,0.9327742,1.796269,1.726271,2.499202,2.252115,1.109016,2.179858,1.702782,2.920286,0.8661504,2.062249,1.378236,0.8373075,2.892923,0.4189095,1.893426,1.215626,2.52,2.076657,2.123854,1.661755,0.8269554,1.679617,1.4438,1.721942,1.513307,1.533089,0.09652344,2.543844,2.383264,0,5.62753,8.711013,8.272113,8.124149,6.59695,6.151941,5.904121,6.100655,7.130336,5.426879,8.127569,6.541578,5.98313,5.498348,6.054281,7.165062,7.522264,6.126295,7.437993,7.804213,6.186205,6.001479,8.41415,8.823207,6.278335,6.28187,5.897165,6.289366,7.705071,7.730284,7.260338,7.682768,6.904227,6.580326,5.501779,7.234695,7.609137,8.091859,5.492754,4.941641,5.282981,3.75673,6.61586,6.598689,6.498408,8.981643,7.488091,6.772941,7.620792,5.308156,13.66792,13.50608,13.441,11.24767,10.71621,12.9012,12.7285,12.34534,11.32298,12.51889,11.66837,14.40373,13.49811,12.11149,12.42457,11.65236,12.70775,12.98809,13.02211,12.26812,11.87625,10.79645,13.49042,13.98089,12.38382,12.65159,13.13807,10.35496,12.35183,12.67451,14.28025,13.0164,13.28161,11.52743,11.31002,12.18255,11.58419,11.68694,15.28668,10.90013,11.81688,11.5537,14.2478,11.88095,11.96287,13.19094,13.55994,12.93005,13.21814,11.88998,9.146623,8.192421,10.10255,10.15136,10.28152,8.947017,8.574126,10.06769,10.1317,9.552637,9.197912,9.235667,10.48501,9.409774,8.721938,8.394484,9.626892,9.877731,9.837716,10.6288,11.6522,9.980186,10.10065,10.0707,8.531942,9.719517,9.21006,9.559115,9.067677,9.196625,10.57946,7.976903,9.327294,11.44923,8.426544,9.791573,10.39874,10.88848,9.512564,9.56122,9.567405,10.00653,10.62646,12.35132,9.562525,10.65345,9.181906,8.76741,10.49328,10.66536, + 5.193379,5.685964,5.638373,6.109981,3.752917,5.545423,5.275392,4.77234,5.70341,5.119338,5.294906,6.034697,4.448092,4.653758,3.711513,7.20409,4.518181,3.863617,5.165851,5.293917,4.100509,4.136959,4.429812,6.237845,4.571706,3.493131,3.941499,2.707395,4.777726,5.332516,4.813078,4.806391,4.122986,6.027441,3.917796,6.126118,3.376659,5.683711,4.381994,5.876229,4.833537,3.948184,4.197916,6.285757,4.114326,4.329005,5.573484,3.228057,6.119005,5.62753,0,4.57062,2.769667,3.267118,1.948501,1.652559,1.348232,0.5496877,2.078336,1.867722,3.377842,1.542116,0.9449896,2.877226,1.359107,2.959268,2.329599,0.5146228,2.004931,2.2683,3.343224,1.651141,2.994222,3.457395,1.532277,1.628936,1.285438,1.638452,3.648855,3.372162,2.180276,2.268672,2.220088,2.602161,2.82529,1.745563,2.186099,2.476359,2.119212,1.141261,1.96904,3.656902,1.721703,1.67803,1.381188,4.39873,1.953283,2.033855,3.199196,0.6692794,8.369415,8.019775,8.259597,6.035612,5.445358,7.458881,7.482118,7.046963,6.598332,7.246296,6.644217,8.83845,8.411812,6.800153,6.973249,6.12717,7.46444,7.793744,7.619534,7.041894,6.624792,5.330485,7.919231,8.777554,7.010266,7.079246,7.912173,5.002858,6.766078,7.592486,8.830494,7.682276,8.54358,6.1999,5.77147,6.980027,6.127333,6.123238,9.872379,5.293047,6.661446,6.672376,8.898923,6.339604,6.835667,7.643295,8.468376,7.460251,7.700169,6.62544,8.521525,7.848739,9.509551,8.675304,8.254265,7.411533,7.561485,7.992005,8.456234,8.992379,7.176789,7.621363,8.622036,7.312038,8.036234,7.350175,8.531497,7.415918,7.837041,9.009161,10.25004,9.556186,9.503472,8.25278,7.999982,8.217207,7.491974,8.450917,8.097309,7.771515,8.806458,6.394237,7.847248,9.774626,6.339493,9.360241,8.590492,9.872059,6.86114,7.491122,8.548931,8.521755,10.34907,9.854536,8.246641,10.32463,8.502926,7.279652,8.787228,8.775881, + 8.195347,8.634603,8.811341,8.27897,6.602262,8.729969,7.371441,8.007904,8.084341,7.958465,8.021005,8.479663,7.047826,6.209645,6.49938,10.15392,6.893419,7.100686,9.334302,8.79989,6.915336,7.805687,6.452213,8.101836,7.948948,6.682629,7.14952,6.266764,7.889864,7.347582,7.430869,7.916328,6.006033,9.007922,7.598847,8.600745,7.273543,7.645504,6.706812,8.07712,8.124688,7.283338,7.380712,8.481765,7.399055,7.177935,8.625635,6.264072,7.89119,8.711013,4.57062,0,3.120326,1.573107,2.637223,3.020084,3.356037,4.109439,2.580471,3.440016,1.383224,3.032349,3.641081,3.222309,3.277805,1.687904,2.538387,4.244605,3.103164,3.323989,2.591395,3.101224,2.805268,2.614995,3.064813,2.985205,3.403924,2.975213,1.030125,1.199797,2.521947,2.956113,2.35082,2.228043,3.214353,3.341234,3.007707,3.801361,3.297501,4.289935,3.538163,5.098365,2.849494,2.893756,3.203577,0.7876311,3.397376,2.537187,1.371543,4.259333,5.509877,5.877013,5.104244,3.271957,3.035345,5.206124,4.569779,4.347525,2.693417,4.439384,3.29203,7.029542,5.03619,4.183275,4.844047,4.569299,4.545744,4.710547,5.18648,4.131845,3.854566,3.722951,6.282352,5.63696,4.567663,5.605379,4.897939,3.053683,5.473336,4.266655,6.432889,5.005413,4.595032,3.76209,4.403184,4.014227,4.217378,4.818727,7.253885,4.676192,3.619545,3.02822,6.142337,4.82246,3.697006,5.88998,5.1002,5.326249,5.764171,3.894241,5.770073,5.571503,6.526005,5.191434,4.441836,4.246418,4.8072,4.199947,4.867555,6.161009,3.66136,4.313127,4.857033,3.684447,5.392006,4.653772,5.387557,3.459101,4.14141,5.347889,6.541727,6.694982,6.518019,4.6003,5.501744,4.825651,4.136396,5.31862,5.187552,4.577719,5.071724,3.655939,4.58186,5.951079,3.121518,6.539478,4.872109,6.493689,2.896237,3.832849,5.463243,5.066922,7.435905,5.551717,5.000234,7.376978,5.712042,4.208298,5.105261,4.963002, + 7.804742,8.29575,8.30546,8.479065,6.252416,8.213395,7.578882,7.434885,8.132842,7.679816,7.825759,8.498333,6.897651,6.685319,6.185509,9.844663,6.886967,6.496801,7.914015,8.024272,6.608221,6.877609,6.648295,8.496849,7.263462,6.094606,6.569343,5.380854,7.407613,7.607122,7.287703,7.43654,6.253434,8.653996,6.656848,8.602729,6.137594,7.955488,6.722025,8.247704,7.511318,6.611859,6.828313,8.67119,6.770136,6.860267,8.208634,5.760274,8.336468,8.272113,2.769667,3.120326,0,1.580571,2.039371,2.363184,2.486825,2.232372,1.404003,3.193677,1.779888,1.838418,2.298914,3.865794,2.329706,2.418271,1.021715,2.258717,0.8399086,0.5071769,3.786878,2.525069,0.3525698,0.7935739,2.154112,2.202214,2.471383,2.198947,2.751629,2.309811,1.302209,0.6235286,1.884514,2.664385,3.819004,1.042962,0.6826462,0.7147123,3.290442,3.347341,3.372427,5.517437,1.84804,1.842329,1.821957,2.527067,0.8166753,1.883089,2.187547,2.965213,5.611501,5.262078,5.536582,3.337186,2.731256,4.690886,4.744304,4.296516,4.202598,4.502073,4.035978,6.131795,5.724612,4.04786,4.205791,3.384433,4.727853,5.07122,4.849935,4.316755,3.895491,2.562454,5.219955,6.042493,4.24361,4.38257,5.177133,2.257748,4.091433,4.922536,6.065056,4.919908,6.032094,3.447897,3.038447,4.26579,3.35941,3.416828,7.103674,2.691751,3.976504,4.157705,6.131722,3.609463,4.161028,4.919419,5.778063,4.696973,4.955652,3.890911,8.55469,8.145749,9.418002,8.21264,7.528801,7.133947,7.554606,7.279158,7.910564,8.988609,6.650525,7.255537,7.940238,6.709653,8.118813,7.368759,8.306716,6.558518,7.197084,8.41594,9.631137,9.547373,9.410499,7.654398,8.170917,7.811289,7.088912,8.231771,8.013967,7.488875,8.151632,6.325956,7.518593,9.054193,5.968658,9.373213,7.94593,9.508266,5.987092,6.871178,8.364139,8.077324,10.32212,8.642464,7.943447,10.27388,8.510283,7.057615,8.174506,8.056295, + 7.622575,8.095039,8.193932,8.004627,6.010889,8.106079,7.082837,7.343746,7.728371,7.435795,7.540887,8.115669,6.568134,6.034004,5.922536,9.650889,6.482528,6.400975,8.311052,8.055121,6.354013,6.97257,6.134023,7.926517,7.230525,5.978718,6.462321,5.411344,7.266664,7.085736,6.964093,7.294863,5.700914,8.467146,6.754961,8.230347,6.336041,7.416557,6.301917,7.783808,7.443731,6.556448,6.7125,8.205403,6.695004,6.618341,8.047902,5.586959,7.738752,8.124149,3.267118,1.573107,1.580571,0,1.548107,1.99861,2.294098,2.749431,1.189125,2.702241,0.199318,1.76703,2.419809,2.975262,2.166833,1.170302,1.012817,2.8612,1.554664,1.750886,2.638493,2.136946,1.301195,1.270613,1.930143,1.893739,2.320666,1.884774,1.232508,0.8108484,1.089229,1.387627,1.229563,1.671471,2.942306,1.811013,1.443674,2.237463,2.672358,3.303209,2.85609,4.850859,1.621942,1.655598,1.899984,1.151878,1.836245,1.383188,0.7550049,3.120999,5.566046,5.580197,5.316999,3.141847,2.657207,4.929211,4.616919,4.25943,3.360785,4.418375,3.556358,6.62872,5.382736,4.037633,4.483723,3.917145,4.595466,4.865529,5.000202,4.154773,3.775779,2.999783,5.776829,5.857334,4.351097,4.994304,5.019295,2.40522,4.778796,4.556474,6.281394,4.939963,5.330326,3.481475,3.651046,4.064435,3.698692,4.078839,7.236224,3.656518,3.693965,3.495258,6.164135,4.17414,3.838744,5.415422,5.443794,4.997487,5.365286,3.794958,7.026051,6.674309,7.86533,6.634981,5.949323,5.576058,6.030823,5.699081,6.33082,7.450447,5.074799,5.687879,6.360271,5.130484,6.603522,5.85218,6.745832,4.98185,5.616591,6.83537,8.051377,8.004483,7.857701,6.074026,6.671858,6.237803,5.519194,6.671939,6.472809,5.927519,6.571394,4.812022,5.952556,7.477079,4.412739,7.834578,6.365462,7.932267,4.409186,5.291264,6.80718,6.500807,8.772468,7.124401,6.37717,8.721586,6.977966,5.50727,6.593941,6.477458, + 6.100441,6.578425,6.660824,6.580298,4.494636,6.572128,5.664309,5.805688,6.273008,5.927148,6.043793,6.653539,5.079888,4.696599,4.411039,8.136902,5.020559,4.860853,6.799382,6.508061,4.842834,5.424987,4.718695,6.550115,5.686251,4.439579,4.923751,3.863484,5.7357,5.679694,5.476113,5.764111,4.302374,6.948613,5.207678,6.764846,4.79816,6.021143,4.845043,6.353749,5.903126,5.012684,5.175906,6.777965,5.153435,5.105486,6.522863,4.054434,6.377005,6.59695,1.948501,2.637223,2.039371,1.548107,0,0.4506569,0.7569939,1.541377,0.6384963,1.222692,1.590731,0.484181,1.007611,1.833553,0.6505655,1.015851,1.047164,1.694201,1.318381,1.776966,1.878209,0.5954864,2.021497,2.331395,0.4279329,0.3590576,0.7926494,0.349287,1.701045,1.438363,0.7539775,1.435891,0.3217145,0.8053759,1.785206,1.344235,1.402384,2.313049,1.270452,1.760658,1.394536,3.515253,0.3093373,0.3513975,0.6670024,2.570413,1.584411,0.1794275,1.2706,1.6365,7.071976,6.98143,6.850199,4.650722,4.126004,6.351828,6.131564,5.751889,4.882859,5.922726,5.103167,7.964409,6.927507,5.520807,5.886475,5.203053,6.110832,6.394534,6.451802,5.671329,5.279821,4.302634,7.077186,7.388417,5.807299,6.258645,6.542101,3.794401,5.999755,6.100563,7.723715,6.426283,6.859014,4.94355,4.891441,5.586705,5.063509,5.302648,8.709106,4.685153,5.224559,5.039584,7.656727,5.449749,5.375368,6.741104,6.98823,6.398943,6.728225,5.294306,6.990739,6.446066,7.932008,6.937614,6.428044,5.72529,5.996854,6.166136,6.68735,7.449788,5.395557,5.904304,6.812506,5.508901,6.522942,5.794053,6.884065,5.545798,6.030293,7.231101,8.47526,8.017576,7.925217,6.464304,6.531389,6.494129,5.75893,6.804766,6.505599,6.089278,7.006993,4.776979,6.148023,7.964895,4.595332,7.829911,6.791756,8.18395,4.979788,5.685426,6.918689,6.788678,8.80967,7.937006,6.56332,8.773887,6.959421,5.613769,7.000558,6.957064, + 5.657257,6.136902,6.213929,6.170899,4.054525,6.124987,5.258848,5.357401,5.853058,5.48868,5.609291,6.230722,4.649628,4.32562,3.972825,7.695712,4.600311,4.41207,6.366247,6.057434,4.404296,4.975193,4.317266,6.157783,5.236196,3.991197,4.475451,3.413489,5.289693,5.278796,5.045439,5.318167,3.909391,6.506319,4.758125,6.340732,4.35401,5.623258,4.427134,5.942698,5.454064,4.562802,4.728194,6.367153,4.704169,4.666107,6.078575,3.608533,5.990331,6.151941,1.652559,3.020084,2.363184,1.99861,0.4506569,0,0.336251,1.342228,1.013646,0.8315494,2.037233,0.5539185,0.7239883,1.61976,0.2950161,1.346686,1.426816,1.503879,1.572615,2.031581,1.838306,0.1633971,2.391273,2.73485,0.2421109,0.162067,0.3877379,0.1644851,2.040122,1.833036,1.141149,1.741702,0.7701219,0.950475,1.567145,1.521189,1.692613,2.531408,0.9410287,1.316421,1.009953,3.154431,0.5164563,0.5210808,0.6640765,3.004279,1.788995,0.6221805,1.673992,1.241248,7.515988,7.404964,7.299048,5.096453,4.566327,6.780484,6.577469,6.194149,5.326716,6.36695,5.55382,8.372707,7.377997,5.961633,6.312046,5.608187,6.556867,6.842772,6.885936,6.117727,5.724365,4.715198,7.479532,7.836853,6.243006,6.65561,6.989277,4.223674,6.388637,6.550998,8.154854,6.866982,7.303618,5.381436,5.289349,6.034055,5.483961,5.695191,9.145937,5.04281,5.673279,5.488642,8.097977,5.851875,5.824913,7.14952,7.438684,6.823381,7.14435,5.738066,7.031368,6.434912,7.994568,7.074519,6.61723,5.83273,6.048467,6.354825,6.84127,7.49655,5.554628,6.028163,6.991162,5.681821,6.554917,5.841223,6.975543,5.766614,6.206267,7.39106,8.634621,8.06407,7.988066,6.629488,6.545592,6.622437,5.891051,6.895458,6.570722,6.195682,7.179546,4.847201,6.263167,8.144714,4.730537,7.872593,6.963621,8.29732,5.209816,5.860252,7.002263,6.922853,8.858123,8.202851,6.671397,8.826908,7.005219,5.710708,7.165331,7.141841, + 5.415788,5.899717,5.959165,5.997531,3.824748,5.869296,5.093717,5.097273,5.662479,5.260384,5.390245,6.034327,4.441714,4.212899,3.748323,7.45812,4.412089,4.150487,6.042839,5.777449,4.177831,4.681977,4.161497,6.010123,4.964984,3.732447,4.21633,3.122863,5.039256,5.120654,4.83575,5.067924,3.768288,6.266589,4.463586,6.141769,4.043756,5.46875,4.243676,5.76709,5.189707,4.29375,4.47152,6.191167,4.439346,4.436883,5.833201,3.361516,5.850963,5.904121,1.348232,3.356037,2.486825,2.294098,0.7569939,0.336251,0,1.106361,1.226306,0.7761617,2.345915,0.6551878,0.4724879,1.713466,0.1574253,1.682366,1.62403,1.267342,1.660952,2.103656,2.045168,0.3029451,2.558117,2.934698,0.3752088,0.4010679,0.06421847,0.4103248,2.375364,2.167292,1.356351,1.86477,1.07793,1.262021,1.659466,1.553015,1.804602,2.562363,0.9643192,1.009267,0.946763,3.062888,0.7118641,0.6951079,0.6757061,3.326401,1.829479,0.9116022,2.0066,0.9051188,7.770642,7.619179,7.570226,5.357878,4.814942,7.003845,6.838156,6.445233,5.638819,6.622939,5.840863,8.563236,7.660454,6.209553,6.530777,5.798207,6.817972,7.11149,7.119097,6.380285,5.981771,4.917409,7.66287,8.105956,6.479842,6.833063,7.253893,4.452298,6.55643,6.833034,8.381425,7.113818,7.614406,5.623667,5.470719,6.299885,5.695897,5.868896,9.382942,5.178514,5.944772,5.789184,8.345308,6.037434,6.100431,7.341524,7.720629,7.039659,7.347408,5.993357,7.247918,6.622301,8.221785,7.340587,6.906616,6.086773,6.273129,6.644314,7.115391,7.715758,5.832961,6.289714,7.275806,5.965798,6.767497,6.063952,7.219531,6.069037,6.490736,7.667227,8.909385,8.282299,8.215449,6.908822,6.747918,6.885102,6.156721,7.139169,6.801594,6.448501,7.461411,5.085136,6.520127,8.428786,5.000234,8.088943,7.245425,8.550654,5.516147,6.14474,7.242128,7.187846,9.076466,8.51858,6.924216,9.047846,7.224712,5.959834,7.443855,7.428875, + 5.652618,6.145741,6.120606,6.488563,4.163366,6.027886,5.628594,5.251205,6.099875,5.559219,5.724646,6.443831,4.844975,4.916835,4.112066,7.677904,4.887608,4.327659,5.715213,5.80441,4.51632,4.652307,4.748772,6.582717,5.062959,3.942288,4.403583,3.185004,5.243191,5.67691,5.220851,5.272034,4.41005,6.494252,4.432055,6.539908,3.905482,6.029441,4.740611,6.25453,5.319027,4.425609,4.661928,6.670288,4.588784,4.754841,6.042792,3.647207,6.450616,6.100655,0.5496877,4.109439,2.232372,2.749431,1.541377,1.342228,1.106361,0,1.56713,1.793333,2.870683,1.086211,0.6345889,2.790423,1.055679,2.554744,1.790788,0.1620473,1.455948,1.7362,3.150442,1.391334,2.447648,2.908988,1.164009,1.27238,1.043514,1.280623,3.230121,2.919794,1.660254,1.719637,1.77607,2.275056,2.736593,1.199944,1.637208,1.992881,2.023459,1.347942,1.932617,3.851178,1.274785,1.228749,0.9080849,3.891353,1.418769,1.593951,2.744479,0.86268,7.823629,7.490806,7.710394,5.48608,4.896416,6.923253,6.933884,6.500179,6.062761,6.698701,6.096148,8.327936,7.862156,6.253714,6.438147,5.603358,6.916115,7.244579,7.079958,6.492967,6.076183,4.794822,7.410122,8.228907,6.467669,6.569935,7.363653,4.456342,6.261954,7.042979,8.297101,7.137782,8.002376,5.653631,5.250369,6.430697,5.591782,5.609991,9.33584,4.800404,6.111759,6.128919,8.356314,5.819991,6.286029,7.126716,7.918702,6.928197,7.176643,6.07717,8.353375,7.726849,9.324793,8.416326,7.946495,7.174349,7.376657,7.684162,8.180916,8.820783,6.892753,7.370387,8.324519,7.016383,7.873441,7.167971,8.314548,7.078946,7.540156,8.729684,9.97366,9.387554,9.318403,7.966653,7.854245,7.964614,7.233003,8.234348,7.903129,7.537114,8.514906,6.183156,7.605205,9.478074,6.071984,9.194495,8.299103,9.638987,6.515671,7.194324,8.33956,8.264817,10.18175,9.47825,8.012872,10.15262,8.329634,7.051212,8.502787,8.473071, + 6.641958,7.125462,7.184427,7.184541,5.048409,7.094368,6.272313,6.321315,6.864913,6.484034,6.610493,7.241311,5.655885,5.325486,4.970189,8.684032,5.612327,5.374466,7.148279,6.988851,5.400581,5.879003,5.330061,7.168452,6.18393,4.957428,5.441007,4.32768,6.265322,6.291616,6.051099,6.294006,4.919807,7.492665,5.659106,7.350627,5.208369,6.635466,5.439861,6.956284,6.412117,5.514473,5.696702,7.380743,5.661961,5.660595,7.059505,4.587813,6.998831,7.130336,2.078336,2.580471,1.404003,1.189125,0.6384963,1.013646,1.226306,1.56713,0,1.83676,1.303596,0.6077271,1.250199,2.462242,1.076685,1.240803,0.4145185,1.687292,0.7495363,1.185198,2.431875,1.176191,1.386902,1.72174,0.853209,0.8640757,1.234407,0.8581077,1.812585,1.431473,0.1300749,0.8145324,0.5108431,1.307979,2.415195,0.8699207,0.7934879,1.738646,1.904754,2.211983,2.012868,4.147003,0.5153781,0.5318398,0.7165095,2.324522,1.051945,0.4792477,1.25823,1.964643,6.548678,6.398575,6.361488,4.141957,3.591572,5.779517,5.620331,5.222069,4.53725,5.402158,4.659547,7.35939,6.4671,4.985261,5.307984,4.594661,5.600469,5.900511,5.892913,5.164249,4.762259,3.703501,6.465895,6.894618,5.253547,5.642414,6.038925,3.226348,5.377324,5.640198,7.156381,5.888966,6.497725,4.398026,4.275926,5.08682,4.476073,4.682752,8.156638,4.048921,4.738265,4.642521,7.120395,4.83823,4.898889,6.136289,6.526362,5.817994,6.133408,4.772534,7.41947,6.926928,8.333873,7.256327,6.679425,6.087713,6.419209,6.420082,6.985455,7.870306,5.6964,6.245741,7.076291,5.790154,6.962538,6.222207,7.258014,5.757464,6.303074,7.518129,8.757517,8.436335,8.326792,6.748771,6.988341,6.826196,6.091253,7.18002,6.910845,6.450403,7.278111,5.188836,6.498361,8.221075,4.934832,8.253298,7.065073,8.526308,5.1831,5.962542,7.301475,7.111675,9.223925,8.058972,6.919576,9.183366,7.382952,5.989202,7.282342,7.21138, + 4.922725,5.393306,5.502175,5.357611,3.309874,5.415499,4.441787,4.661301,5.05316,4.733587,4.840824,5.435378,3.87091,3.494111,3.220549,6.948691,3.801422,3.726475,5.907613,5.407575,3.65189,4.375989,3.496763,5.331991,4.567539,3.303493,3.783582,2.828234,4.573632,4.458049,4.267237,4.601563,3.083397,5.765744,4.166012,5.547637,3.835455,4.800499,3.624687,5.13116,4.767066,3.894105,4.028768,5.55534,4.02365,3.916342,5.349289,2.900128,5.162126,5.426879,1.867722,3.440016,3.193677,2.702241,1.222692,0.8315494,0.7761617,1.793333,1.83676,0,2.70069,1.365783,1.198562,1.011865,0.9143158,1.782361,2.251264,1.944747,2.39265,2.847007,1.524116,0.6688377,3.220359,3.551264,1.044551,0.9916365,0.8209098,0.9951803,2.410667,2.34131,1.961468,2.57129,1.503019,1.213267,0.9592316,2.313114,2.519978,3.326173,0.2549583,0.9792206,0.1788516,2.323895,1.348003,1.351484,1.43188,3.583953,2.587458,1.401762,2.214509,1.237177,8.264254,8.202269,8.017812,5.839707,5.331092,7.569924,7.317596,6.950564,5.931738,7.115387,6.241648,9.186635,8.071333,6.723182,7.10657,6.424369,7.296322,7.567512,7.664658,6.855764,6.472197,5.525212,8.297862,8.558696,7.018456,7.477134,7.72146,5.01315,7.213974,7.247644,8.939375,7.628178,7.905146,6.152087,6.110115,6.766437,6.285586,6.518804,9.917293,5.874275,6.395941,6.137158,8.856519,6.670169,6.538729,7.963295,8.133118,7.61948,7.950835,6.489223,6.657848,5.981825,7.650528,6.872781,6.52212,5.591559,5.704655,6.261957,6.674408,7.129344,5.415291,5.814542,6.870905,5.567396,6.171543,5.492532,6.691265,5.747491,6.090107,7.230231,8.462622,7.692067,7.644573,6.486839,6.132656,6.409495,5.694905,6.610593,6.24409,5.947505,7.045321,4.556274,6.030181,8.016286,4.561892,7.495533,6.830281,8.041327,5.219357,5.746781,6.703596,6.71756,8.484319,8.254507,6.420465,8.461023,6.640731,5.452202,7.016043,7.032172, + 7.623015,8.091742,8.201831,7.965496,6.009744,8.11475,7.043434,7.356739,7.699339,7.428785,7.528211,8.088497,6.552941,5.97696,5.919002,9.645001,6.457662,6.416907,8.381361,8.081394,6.349645,7.010211,6.095656,7.874616,7.251279,5.994027,6.476561,5.448242,7.27354,7.042876,6.948202,7.301552,5.659229,8.464688,6.7938,8.204248,6.388852,7.370302,6.275677,7.746672,7.459397,6.576868,6.7246,8.166932,6.712363,6.614491,8.049886,5.59692,7.683588,8.127569,3.377842,1.383224,1.779888,0.199318,1.590731,2.037233,2.345915,2.870683,1.303596,2.70069,0,1.856353,2.506795,2.905337,2.226952,1.077237,1.174228,2.98866,1.728654,1.942917,2.527387,2.16677,1.498514,1.446675,1.991585,1.94505,2.377193,1.935686,1.054051,0.6501585,1.215604,1.573058,1.269017,1.614617,2.875187,1.977831,1.625896,2.434785,2.652112,3.351362,2.8476,4.797698,1.699351,1.736286,2.000681,1.02123,2.01701,1.436382,0.627422,3.196466,5.591687,5.650128,5.32168,3.172345,2.713495,4.993707,4.638588,4.295812,3.293043,4.44736,3.541229,6.714858,5.370781,4.079647,4.55627,4.023246,4.616668,4.875073,5.053654,4.176173,3.806882,3.107746,5.873204,5.863481,4.404521,5.100749,5.033981,2.494945,4.894615,4.546963,6.335808,4.97784,5.268531,3.535812,3.76818,4.081606,3.786063,4.196985,7.276778,3.807257,3.704561,3.453904,6.196492,4.281297,3.842188,5.506719,5.432505,5.068838,5.447027,3.828884,6.835079,6.492569,7.670427,6.436161,5.750168,5.380622,5.840937,5.499834,6.131652,7.257879,4.876354,5.490777,6.161038,4.931428,6.414808,5.663553,6.549742,4.783173,5.417291,6.636052,7.852169,7.811088,7.662779,5.874748,6.485718,6.039687,5.321758,6.476028,6.279959,5.731447,6.37212,4.624418,5.7557,7.278273,4.217921,7.641871,6.166156,7.733694,4.210317,5.092073,6.611717,6.302179,8.577941,6.934819,6.180237,8.52666,6.786421,5.313123,6.394623,6.278398, + 6.057402,6.543253,6.591718,6.652092,4.473069,6.501223,5.747089,5.726478,6.317605,5.9082,6.041081,6.689102,5.095369,4.849075,4.398491,8.100697,5.067277,4.77993,6.548842,6.385074,4.827018,5.272331,4.812764,6.659992,5.584032,4.364957,4.847642,3.722934,5.675764,5.77276,5.488974,5.704532,4.415327,6.908591,5.052292,6.796293,4.600922,6.120165,4.898754,6.421828,5.815117,4.916193,5.104309,6.845969,5.065479,5.084883,6.472247,4.002507,6.498379,6.541578,1.542116,3.032349,1.838418,1.76703,0.484181,0.5539185,0.6551878,1.086211,0.6077271,1.365783,1.856353,0,0.652779,2.164664,0.4981774,1.476484,0.9810163,1.231971,1.026879,1.48231,2.312258,0.7059087,1.903008,2.285511,0.3216583,0.3952807,0.6498783,0.3957064,2.144978,1.837383,0.7338114,1.215003,0.6899008,1.281367,2.11277,0.9679693,1.158737,1.97749,1.49373,1.610169,1.544355,3.686932,0.1894754,0.1431061,0.1847894,2.87202,1.235079,0.5083034,1.662833,1.360326,7.14938,6.971397,6.968016,4.746897,4.191743,6.360413,6.224051,5.821829,5.126885,6.004101,5.266484,7.909112,7.074825,5.583554,5.885358,5.144383,6.204353,6.506608,6.481193,5.76888,5.365245,4.266696,7.008032,7.500509,5.844852,6.177937,6.643806,3.814238,5.901375,6.24791,7.739066,6.486,7.092916,4.993609,4.815909,5.692494,5.048067,5.213713,8.746457,4.528591,5.345345,5.243732,7.717044,5.38296,5.506436,6.687752,7.134088,6.392925,6.696018,5.374619,7.461282,6.900696,8.407715,7.421638,6.910087,6.207174,6.469569,6.648296,7.171493,7.921962,5.879668,6.387618,7.295473,5.992476,6.991067,6.265636,7.364328,6.023341,6.513589,7.715081,8.959198,8.489857,8.400979,6.948144,6.994448,6.977779,6.242682,7.284902,6.981379,6.571145,7.49038,5.252894,6.63073,8.447598,5.079051,8.301237,7.275212,8.666797,5.455767,6.168858,7.397818,7.272608,9.282598,8.400229,7.04546,9.247819,7.4312,6.094393,7.48437,7.439454, + 5.510167,6.000189,6.0232,6.205383,3.953739,5.931728,5.317687,5.153968,5.845646,5.381094,5.527127,6.206581,4.60399,4.508806,3.887868,7.552162,4.606354,4.210906,5.898575,5.782728,4.309584,4.656827,4.404461,6.253838,4.996662,3.803427,4.281699,3.1213,5.117378,5.354213,4.99223,5.14628,4.033656,6.360469,4.436048,6.309411,3.967068,5.705544,4.44652,5.972615,5.236234,4.335531,4.540184,6.394388,4.489894,4.561353,5.917583,3.462184,6.10614,5.98313,0.9449896,3.641081,2.298914,2.419809,1.007611,0.7239883,0.4724879,0.6345889,1.250199,1.198562,2.506795,0.652779,0,2.174001,0.4300923,2.0147,1.586995,0.7960917,1.459696,1.859034,2.515862,0.7583119,2.43174,2.852438,0.5873959,0.6846487,0.4104402,0.6940594,2.705379,2.441286,1.37066,1.69995,1.293409,1.672124,2.119988,1.284932,1.627361,2.255038,1.413123,1.048435,1.353623,3.391474,0.8105136,0.7714023,0.5410805,3.519251,1.556563,1.107542,2.270575,0.7178444,7.754393,7.52533,7.591157,5.365644,4.799257,6.928446,6.837742,6.425882,5.779464,6.613188,5.906717,8.42674,7.708427,6.184677,6.44872,5.670307,6.818539,7.128102,7.061652,6.385674,5.977695,4.815092,7.51711,8.120695,6.43181,6.680684,7.260789,4.400604,6.390213,6.882374,8.307982,7.083326,7.744565,5.590167,5.330669,6.312862,5.60559,5.714732,9.327214,4.972379,5.972164,5.892455,8.312375,5.901152,6.136593,7.210707,7.76716,6.951316,7.235017,5.984737,7.718801,7.094699,8.690807,7.79394,7.341202,6.546451,6.742493,7.078796,7.563295,8.186271,6.277533,6.745588,7.715022,6.405585,7.238863,6.533671,7.683562,6.488037,6.930094,8.113628,9.356918,8.753006,8.684434,7.352659,7.220163,7.340427,6.61018,7.603291,7.269608,6.908802,7.903131,5.550848,6.978459,8.868552,5.450956,8.559914,7.687189,9.01096,5.92952,6.584069,7.707593,7.641839,9.547202,8.914072,7.384585,9.518158,7.695138,6.421664,7.888382,7.865819, + 4.981839,5.414757,5.60559,5.105445,3.406718,5.526483,4.187134,4.824706,4.87998,4.738194,4.798699,5.274509,3.825948,3.079315,3.299914,6.931701,3.673807,3.950012,6.43288,5.648327,3.706697,4.737975,3.251111,4.982304,4.793928,3.544972,3.990427,3.289543,4.691892,4.175089,4.208572,4.71755,2.806134,5.787591,4.547241,5.394293,4.338765,4.491522,3.487392,4.894455,4.947774,4.145997,4.20745,5.308221,4.245002,3.966909,5.411457,3.120931,4.786246,5.498348,2.877226,3.222309,3.865794,2.975262,1.833553,1.61976,1.713466,2.790423,2.462242,1.011865,2.905337,2.164664,2.174001,0,1.817969,1.833443,2.853027,2.945485,3.14421,3.605361,0.7332105,1.491463,3.813237,4.056113,1.861866,1.771133,1.77018,1.769825,2.244585,2.365454,2.565129,3.269085,1.994957,1.307324,0.0540279,3.129741,3.235713,4.129372,0.7683506,1.89594,0.9150691,1.913784,2.075927,2.09781,2.28353,3.583217,3.389712,1.982995,2.302947,2.234005,8.46614,8.553205,8.151229,6.062448,5.618815,7.898602,7.509574,7.188654,5.880141,7.330671,6.33501,9.602051,8.148896,6.978084,7.457687,6.873412,7.486924,7.71984,7.957797,7.0489,6.695163,5.957176,8.742348,8.693543,7.308887,7.94672,7.88938,5.379405,7.712442,7.342574,9.239936,7.870918,7.813212,6.440721,6.588011,6.947425,6.672657,7.010634,10.16997,6.466454,6.560517,6.157252,9.080308,7.127842,6.681256,8.386047,8.212277,7.971068,8.340313,6.720317,5.661075,4.971551,6.660171,5.946423,5.665563,4.65247,4.719558,5.409596,5.769496,6.133365,4.540227,4.88877,5.994132,4.707788,5.173227,4.506596,5.725324,4.958553,5.22316,6.325346,7.545233,6.693993,6.654392,5.5985,5.127896,5.479795,4.780316,5.644726,5.263095,5.002227,6.158149,3.60089,5.092215,7.126889,3.679632,6.496503,5.945243,7.083032,4.464312,4.88559,5.731653,5.790149,7.484868,7.496624,5.471028,7.463494,5.64644,4.505185,6.119565,6.161236, + 5.567289,6.051894,6.107758,6.154933,3.978524,6.017684,5.251123,5.244723,5.819442,5.41404,5.545048,6.190975,4.597723,4.367414,3.902809,7.610031,4.56922,4.297871,6.155162,5.918416,4.331955,4.817573,4.318698,6.167162,5.109256,3.880746,4.364326,3.260665,5.189039,5.277958,4.991557,5.217743,3.924838,6.418264,4.598617,6.298255,4.169366,5.625981,4.400957,5.92447,5.33598,4.438944,4.620032,6.348536,4.585729,4.590572,5.983875,3.512606,6.007634,6.054281,1.359107,3.277805,2.329706,2.166833,0.6505655,0.2950161,0.1574253,1.055679,1.076685,0.9143158,2.226952,0.4981774,0.4300923,1.817969,0,1.62033,1.470532,1.21771,1.505123,1.949816,2.103049,0.3422429,2.401184,2.780042,0.2367187,0.2934361,0.1580763,0.3034171,2.314341,2.082351,1.206513,1.707485,0.9656418,1.245315,1.764207,1.403253,1.647619,2.414679,1.085222,1.143608,1.088575,3.214587,0.5651645,0.5448621,0.5229236,3.218019,1.679135,0.7908449,1.917399,0.9863255,7.624248,7.465192,7.428845,5.213878,4.667673,6.851188,6.693578,6.298145,5.51936,6.477086,5.706208,8.406927,7.523354,6.061744,6.377502,5.642026,6.67352,6.969357,6.968062,6.236354,5.836444,4.762388,7.506163,7.963789,6.329594,6.676107,7.110419,4.301005,6.399163,6.695922,8.229132,6.965597,7.493361,5.474699,5.314027,6.156983,5.541843,5.711833,9.232403,5.021337,5.803848,5.661644,8.197043,5.88094,5.96092,7.185375,7.583306,6.885992,7.192197,5.847452,7.303773,6.693374,8.271621,7.364695,6.91174,6.119296,6.324172,6.649336,7.133335,7.77018,5.847447,6.317013,7.28511,5.97561,6.825476,6.116071,7.258882,6.061561,6.500157,7.683579,8.926912,8.337351,8.265186,6.922567,6.81141,6.911663,6.181011,7.178688,6.849057,6.481908,7.473084,5.127929,6.550697,8.43862,5.021368,8.145031,7.257139,8.58392,5.504497,6.154127,7.284114,7.212736,9.13154,8.495499,6.957682,9.101433,7.2789,5.995643,7.458291,7.436106, + 6.654359,7.11258,7.250948,6.918285,5.043435,7.166221,5.996895,6.42303,6.668061,6.442572,6.528963,7.059852,5.550914,4.911019,4.947003,8.656704,5.436294,5.496533,7.650855,7.185144,5.373533,6.157953,5.052145,6.812204,6.341277,5.074443,5.550747,4.606664,6.322995,5.991613,5.943534,6.350391,4.611711,7.486658,5.947312,7.177314,5.599267,6.314448,5.252203,6.702536,6.533067,5.669419,5.791164,7.120446,5.794661,5.638582,7.083912,4.664079,6.618187,7.165062,2.959268,1.687904,2.418271,1.170302,1.015851,1.346686,1.682366,2.554744,1.240803,1.782361,1.077237,1.476484,2.0147,1.833443,1.62033,0,1.45327,2.705215,1.966989,2.356817,1.472002,1.416427,2.249291,2.36974,1.427362,1.33479,1.734168,1.324998,0.6941119,0.565338,1.259519,1.954005,0.8057677,0.5847388,1.805636,2.110724,1.962891,2.913255,1.676175,2.602146,1.900941,3.737204,1.287323,1.333709,1.660663,1.816662,2.279054,0.9722357,0.47156,2.58736,6.638752,6.726943,6.340144,4.230004,3.78802,6.069498,5.682814,5.355993,4.161662,5.500208,4.53419,7.790706,6.359206,5.144689,5.633437,5.087213,5.660381,5.902396,6.125017,5.221303,4.863284,4.169949,6.944531,6.882854,5.476295,6.164482,6.068201,3.568618,5.948329,5.543813,7.407074,6.038319,6.130113,4.608734,4.820508,5.121894,4.861129,5.247902,8.337591,4.792856,4.737766,4.391795,7.250221,5.344337,4.864477,6.580598,6.422,6.145878,6.523753,4.887817,6.195977,5.739746,7.099646,6.01776,5.45974,4.847687,5.194493,5.199066,5.750652,6.642703,4.460068,5.004986,5.852022,4.558814,5.745364,5.000635,6.018791,4.556404,5.07492,6.286516,7.527984,7.207492,7.09249,5.517365,5.781902,5.586007,4.850865,5.941003,5.678842,5.210147,6.051354,3.962454,5.257591,7.000612,3.694029,7.026448,5.837402,7.285741,3.98606,4.73264,6.063589,5.872482,7.992879,6.924492,5.678939,7.950812,6.15719,4.750898,6.052118,5.990951, + 7.037072,7.522185,7.572734,7.59716,5.448748,7.482231,6.685635,6.707373,7.275002,6.884356,7.013808,7.650319,6.062291,5.739467,5.372222,9.080103,6.022674,5.760883,7.459912,7.360513,5.801853,6.241168,5.743913,7.58285,6.563298,5.345961,5.828654,4.697684,6.656542,6.705462,6.457056,6.685299,5.33421,7.888169,6.020618,7.759104,5.553373,7.049559,5.850916,7.368615,6.795582,5.896312,6.085318,7.793074,6.046122,6.060862,7.452643,4.982185,7.413348,7.522264,2.329599,2.538387,1.021715,1.012817,1.047164,1.426816,1.62403,1.790788,0.4145185,2.251264,1.174228,0.9810163,1.586995,2.853027,1.470532,1.45327,0,1.886087,0.5705425,0.9054829,2.769321,1.589716,0.9743807,1.31231,1.255939,1.2749,1.626439,1.269351,1.913705,1.489464,0.2931896,0.5011761,0.8636264,1.644508,2.807419,0.8044607,0.5179137,1.460322,2.316728,2.589686,2.427378,4.560255,0.9206474,0.9307247,1.046817,2.161666,0.8786854,0.8789644,1.332827,2.304231,6.172795,5.995181,6.004195,3.778742,3.21567,5.380843,5.252081,4.844631,4.272087,5.029298,4.332803,6.948187,6.125348,4.605234,4.906976,4.18304,5.232723,5.541109,5.50021,4.799154,4.392319,3.295376,6.05321,6.533785,4.863939,5.228794,5.674307,2.833223,4.962912,5.300314,6.759076,5.506733,6.214008,4.013895,3.86261,4.725891,4.071946,4.268633,7.765441,3.638018,4.386012,4.344383,6.737451,4.425723,4.551807,5.72533,6.183675,5.415643,5.725648,4.40027,7.645223,7.190986,8.538589,7.406914,6.78719,6.272419,6.643517,6.530743,7.123146,8.089173,5.841929,6.415605,7.190664,5.922179,7.197161,6.451227,7.446203,5.843847,6.426797,7.646468,8.879041,8.652711,8.53132,6.878275,7.23515,6.98736,6.255707,7.369348,7.121684,6.632695,7.396621,5.411321,6.673158,8.326493,5.110735,8.473327,7.185854,8.68934,5.267962,6.090877,7.495607,7.265663,9.435611,8.075983,7.096795,9.391742,7.605151,6.183139,7.407981,7.318917, + 5.685389,6.178416,6.1411,6.555571,4.2168,6.048223,5.703815,5.273378,6.160104,5.601185,5.771192,6.499276,4.904264,5.01745,4.169282,7.703512,4.956826,4.357335,5.664432,5.806188,4.567938,4.650146,4.833928,6.661179,5.077733,3.978922,4.4343,3.206597,5.272617,5.755013,5.276203,5.301379,4.50384,6.523397,4.43072,6.593513,3.891281,6.107334,4.813351,6.321526,5.337381,4.448232,4.69182,6.735226,4.613123,4.802493,6.070481,3.696562,6.53318,6.126295,0.5146228,4.244605,2.258717,2.8612,1.694201,1.503879,1.267342,0.1620473,1.687292,1.944747,2.98866,1.231971,0.7960917,2.945485,1.21771,2.705215,1.886087,0,1.512602,1.755667,3.311904,1.553265,2.492243,2.959477,1.323066,1.431944,1.204281,1.440066,3.37693,3.059109,1.774118,1.775629,1.920623,2.4347,2.891738,1.245078,1.692596,1.968228,2.177761,1.448388,2.080354,3.966475,1.421284,1.375005,1.050865,4.007665,1.442045,1.740271,2.883461,0.9540097,7.863974,7.505444,7.763117,5.542218,4.948254,6.946041,6.98185,6.543378,6.155982,6.744374,6.167649,8.325148,7.92308,6.295993,6.460267,5.612553,6.964454,7.297129,7.10846,6.544242,6.125953,4.817874,7.406146,8.278451,6.501403,6.56607,7.412751,4.499333,6.253964,7.106404,8.316925,7.17523,8.087813,5.695585,5.256874,6.484618,5.614581,5.609351,9.359741,4.783797,6.1714,6.211339,8.389868,5.825085,6.347764,7.129066,7.979047,6.946434,7.185546,6.125464,8.514845,7.886447,9.486643,8.577625,8.105346,7.336222,7.538448,7.84304,8.341605,8.98236,7.053155,7.531973,8.484013,7.176139,8.034735,7.329704,8.476586,7.235477,7.699773,8.89014,10.13419,9.54908,9.480258,8.126837,8.014949,8.126126,7.394374,8.396388,8.065072,7.699016,8.674741,6.345193,7.766978,9.637528,6.233175,9.35594,8.458966,9.800857,6.671458,7.353989,8.501606,8.426188,10.34327,9.629618,8.174769,10.31425,8.49123,7.213195,8.663013,8.632206, + 6.968147,7.458701,7.474024,7.643304,5.412719,7.38217,6.745683,6.603773,7.294261,6.840784,6.986023,7.658999,6.057993,5.871671,5.345617,9.009136,6.049455,5.663592,7.170746,7.207306,5.768501,6.066521,5.818539,7.668356,6.437366,5.259285,5.73549,4.555766,6.572873,6.775843,6.447874,6.601794,5.428791,7.817936,5.845477,7.763171,5.340863,7.125067,5.885472,7.411591,6.682372,5.782142,5.994326,7.834777,5.939082,6.020849,7.373638,4.92175,7.51106,7.437993,2.004931,3.103164,0.8399086,1.554664,1.318381,1.572615,1.660952,1.455948,0.7495363,2.39265,1.728654,1.026879,1.459696,3.14421,1.505123,1.966989,0.5705425,1.512602,0,0.4617067,3.17144,1.729904,0.9978068,1.453369,1.348216,1.410658,1.641228,1.408946,2.473976,2.055776,0.7079111,0.2637454,1.258358,2.052614,3.094449,0.2809255,0.1813121,0.9973243,2.512748,2.508073,2.571234,4.71303,1.072967,1.057241,0.9887011,2.686134,0.3144464,1.19406,1.895384,2.135889,6.371331,6.080564,6.254675,4.031307,3.44049,5.495707,5.478176,5.046361,4.689699,5.243669,4.658767,6.96792,6.410634,4.800536,5.012847,4.214587,5.460342,5.788815,5.6419,5.03704,4.62027,3.372287,6.057591,6.772975,5.022663,5.220995,5.907765,3.003601,4.931218,5.593823,6.873709,5.688178,6.597773,4.200915,3.872499,4.975199,4.167054,4.255054,7.903581,3.525438,4.659148,4.717435,6.91033,4.443281,4.835188,5.753177,6.466708,5.510462,5.782599,4.621455,8.159884,7.675661,9.066594,7.959455,7.351347,6.810286,7.158874,7.09422,7.679828,8.608471,6.395581,6.96029,7.753523,6.480074,7.705526,6.963333,7.982796,6.411358,6.987163,8.205998,9.440605,9.173713,9.059431,7.437256,7.734333,7.535828,6.802566,7.905343,7.645715,7.171875,7.958582,5.927388,7.215803,8.891462,5.652061,8.991956,7.747208,9.237568,5.835496,6.649883,8.029165,7.816941,9.959667,8.645221,7.63851,9.91778,8.122171,6.71631,7.968165,7.88326, + 7.342718,7.834778,7.832964,8.062532,5.805919,7.740622,7.170539,6.962328,7.704674,7.227055,7.378706,8.064981,6.461995,6.316489,5.742857,9.379136,6.464695,6.02824,7.407197,7.537221,6.161735,6.387314,6.249164,8.099629,6.784708,5.630586,6.101911,4.902471,6.941397,7.203775,6.849136,6.970321,5.865455,8.190178,6.166837,8.167257,5.640979,7.55406,6.303668,7.830063,7.035754,6.137848,6.360953,8.252293,6.297897,6.410606,7.74255,5.306372,7.945844,7.804213,2.2683,3.323989,0.5071769,1.750886,1.776966,2.031581,2.103656,1.7362,1.185198,2.847007,1.942917,1.48231,1.859034,3.605361,1.949816,2.356817,0.9054829,1.755667,0.4617067,0,3.616838,2.187471,0.7955395,1.269161,1.803955,1.869863,2.079441,1.868434,2.803036,2.369232,1.120185,0.4049802,1.695647,2.493066,3.555734,0.5749321,0.3969359,0.5581607,2.972374,2.90207,3.025205,5.163349,1.534586,1.518283,1.42798,2.815551,0.3181503,1.646327,2.222049,2.497122,6.118539,5.754639,6.041962,3.838002,3.233784,5.190595,5.250814,4.803648,4.645898,5.008966,4.52199,6.602935,6.225789,4.555021,4.704949,3.868434,5.234267,5.576422,5.35334,4.821975,4.400992,3.062274,5.687529,6.548988,4.749442,4.848076,5.683506,2.764134,4.548031,5.420638,6.562548,5.426593,6.504633,3.955026,3.517339,4.769698,3.859065,3.884547,7.604177,3.114639,4.475953,4.625632,6.637161,4.087762,4.659046,5.396306,6.279684,5.192838,5.441508,4.396941,8.550598,8.089623,9.443252,8.298688,7.659262,7.174637,7.548902,7.404847,8.009881,8.994648,6.733235,7.314325,8.065837,6.807837,8.101898,7.356356,8.348679,6.704886,7.307862,8.528356,9.756319,9.558127,9.435964,7.761544,8.138156,7.88314,7.153005,8.272054,8.026941,7.534282,8.273765,6.316695,7.573013,9.19513,6.011799,9.378808,8.064443,9.584826,6.129658,6.97462,8.399082,8.1588,10.34078,8.874902,7.997046,10.29667,8.510618,7.086913,8.288782,8.190072, + 5.669615,6.090508,6.300218,5.68767,4.114034,6.223091,4.780427,5.534448,5.497231,5.414008,5.460978,5.89257,4.497154,3.621431,4.005164,7.588782,4.322513,4.672192,7.164209,6.367185,4.403176,5.469579,3.86581,5.519239,5.51329,4.270763,4.710408,4.020973,5.394058,4.756204,4.871581,5.419132,3.420079,6.461371,5.279752,6.01414,5.069646,5.05565,4.135975,5.485831,5.659874,4.870536,4.922517,5.890492,4.965708,4.660118,6.097539,3.846826,5.312098,6.186205,3.343224,2.591395,3.786878,2.638493,1.878209,1.838306,2.045168,3.150442,2.431875,1.524116,2.527387,2.312258,2.515862,0.7332105,2.103049,1.472002,2.769321,3.311904,3.17144,3.616838,0,1.761876,3.668812,3.832292,2.063337,1.955636,2.108725,1.950709,1.687677,1.914174,2.507193,3.240266,1.922674,1.126535,0.7518234,3.221668,3.224838,4.16769,1.273299,2.491984,1.494862,2.51039,2.173656,2.207967,2.468726,3.04806,3.454327,1.979475,1.900117,2.748578,7.971947,8.148032,7.6221,5.601567,5.20412,7.483982,7.01645,6.724659,5.279343,6.852193,5.799318,9.233326,7.591645,6.526047,7.061298,6.550202,6.993208,7.203492,7.520498,6.560285,6.227083,5.633978,8.399226,8.162082,6.875332,7.62776,7.380248,5.020366,7.416955,6.799088,8.798837,7.404057,7.183105,6.01514,6.289324,6.452918,6.308437,6.71728,9.69582,6.258979,6.06063,5.586842,8.594901,6.80804,6.168135,8.030224,7.655453,7.570607,7.962077,6.256742,5.202942,4.597277,6.177678,5.350414,5.006591,4.074022,4.228736,4.747567,5.150302,5.670599,3.893976,4.292685,5.350197,4.050004,4.723276,4.019167,5.188276,4.262032,4.571207,5.70615,6.938744,6.237206,6.171394,4.963938,4.708667,4.888107,4.17135,5.107699,4.759479,4.432141,5.522788,3.051033,4.511627,6.493712,3.038725,6.044053,5.308001,6.530635,3.754308,4.229127,5.206398,5.195476,7.03139,6.791515,4.906497,7.002682,5.179545,3.938624,5.492399,5.512906, + 5.505239,5.98371,6.065486,6.008577,3.900366,5.976855,5.096126,5.210955,5.692214,5.333674,5.452468,6.070468,4.491221,4.162678,3.817599,7.542333,4.439435,4.266558,6.259476,5.918534,4.249271,4.843545,4.154223,5.994449,5.09386,3.844983,4.329065,3.281598,5.140235,5.115766,4.887194,5.168641,3.74603,6.35366,4.627374,6.180771,4.234577,5.46009,4.265832,5.780546,5.30905,4.419944,4.580877,6.204993,4.559649,4.511557,5.927463,3.458977,5.826934,6.001479,1.651141,3.101224,2.525069,2.136946,0.5954864,0.1633971,0.3029451,1.391334,1.176191,0.6688377,2.16677,0.7059087,0.7583119,1.491463,0.3422429,1.416427,1.589716,1.553265,1.729904,2.187471,1.761876,0,2.554666,2.896824,0.3855414,0.3228607,0.3662183,0.3263453,2.10448,1.926193,1.303263,1.903053,0.9077601,0.9651172,1.438154,1.668724,1.852897,2.681069,0.7890773,1.202676,0.8474523,2.992368,0.6794786,0.6827501,0.7984545,3.118926,1.939079,0.772007,1.773088,1.182667,7.667196,7.564459,7.444897,5.246188,4.719836,6.938672,6.727045,6.346572,5.449992,6.51798,5.693304,8.534667,7.519176,6.114924,6.471017,5.770363,6.706317,6.989608,7.04235,6.266812,5.875132,4.876448,7.642031,7.983373,6.398779,6.818463,7.137503,4.381497,6.551852,6.692548,8.312347,7.020371,7.427402,5.536218,5.452086,6.182082,5.643989,5.858243,9.301316,5.205854,5.81939,5.620524,8.251067,6.014331,5.969426,7.311429,7.580083,6.982646,7.305228,5.88944,6.963746,6.351135,7.933537,7.040609,6.603707,5.78953,5.985568,6.3414,6.813941,7.430574,5.53086,5.990632,6.973144,5.663151,6.484893,5.777094,6.925353,5.766796,6.188068,7.365498,8.607908,7.997583,7.927138,6.606655,6.469778,6.585823,5.85673,6.845069,6.511807,6.151634,7.158991,4.792551,6.222178,8.126191,4.699348,7.804971,6.943005,8.253839,5.214626,5.842061,6.949281,6.888083,8.791789,8.219761,6.627404,8.762121,6.939343,5.663939,7.141805,7.126066, + 7.938334,8.427101,8.454931,8.552483,6.3671,8.363436,7.64456,7.585584,8.220595,7.800205,7.938101,8.591925,6.996915,6.711912,6.295333,9.981327,6.970038,6.64262,8.156653,8.200851,6.722065,7.062465,6.706009,8.548706,7.425068,6.234294,6.713254,5.545396,7.548187,7.667223,7.389863,7.577074,6.300533,8.789214,6.841389,8.698841,6.33867,8.01283,6.800923,8.32277,7.666983,6.766305,6.971629,8.747073,6.921364,6.977845,8.347891,5.886245,8.381572,8.41415,2.994222,2.805268,0.3525698,1.301195,2.021497,2.391273,2.558117,2.447648,1.386902,3.220359,1.498514,1.903008,2.43174,3.813237,2.401184,2.249291,0.9743807,2.492243,0.9978068,0.7955395,3.668812,2.554666,0,0.4756393,2.203425,2.235057,2.551329,2.230339,2.510328,2.071419,1.267536,0.7389718,1.818458,2.56301,3.769109,1.248703,0.8180425,1.066144,3.291012,3.473652,3.397449,5.533905,1.87719,1.880223,1.920431,2.187674,1.070754,1.851908,1.965943,3.125152,5.376035,5.093733,5.272648,3.057403,2.45842,4.501675,4.489611,4.052757,3.862507,4.252461,3.727531,6.008247,5.443868,3.806105,4.020043,3.245236,4.47224,4.806657,4.644726,4.053114,3.634158,2.383493,5.10537,5.786382,4.024868,4.274946,4.920631,2.008736,4.000519,4.63425,5.880566,4.691292,5.709699,3.205985,2.913428,3.995748,3.175427,3.310991,6.907368,2.663966,3.692158,3.83147,5.912653,3.481412,3.873016,4.788195,5.498625,4.520601,4.804964,3.633275,8.317379,7.937471,9.164775,7.93247,7.230885,6.876324,7.319729,6.983448,7.625012,8.745502,6.374103,6.989058,7.643802,6.426289,7.888924,7.137784,8.046676,6.255635,6.907605,8.124358,9.333412,9.30123,9.157174,7.365845,7.949528,7.537952,6.820234,7.972639,7.768662,7.228368,7.856366,6.095663,7.253748,8.750811,5.712366,9.12988,7.652343,9.230969,5.686597,6.585284,8.107416,7.799329,10.07127,8.309606,7.678366,10.02102,8.270734,6.80574,7.882406,7.756515, + 8.341648,8.828207,8.86929,8.905262,6.758287,8.778279,7.991757,8.001647,8.58652,8.193593,8.324937,8.962381,7.374531,7.023862,6.682841,10.38512,7.333996,7.056432,8.622521,8.633491,7.111937,7.501019,7.047853,8.88148,7.84872,6.644404,7.125621,5.973393,7.957091,8.009245,7.769206,7.985916,6.633526,9.192884,7.279956,9.071311,6.786862,8.351666,7.161596,8.677362,8.08639,7.185899,7.383221,9.101805,7.338563,7.370213,8.754977,6.287008,8.70813,8.823207,3.457395,2.614995,0.7935739,1.270613,2.331395,2.73485,2.934698,2.908988,1.72174,3.551264,1.446675,2.285511,2.852438,4.056113,2.780042,2.36974,1.31231,2.959477,1.453369,1.269161,3.832292,2.896824,0.4756393,0,2.568164,2.585626,2.934611,2.579771,2.500038,2.081195,1.593704,1.190065,2.086147,2.766937,4.015471,1.714405,1.272059,1.472576,3.596184,3.882723,3.725011,5.839668,2.232823,2.242843,2.32604,1.92097,1.545863,2.154192,2.011265,3.557278,4.920171,4.68591,4.803647,2.584652,1.98879,4.078609,4.024899,3.593995,3.412384,3.790401,3.252841,5.637865,4.969975,3.348864,3.601378,2.87371,4.007131,4.337664,4.209279,3.584997,3.167423,1.983114,4.74661,5.320185,3.581464,3.927334,4.454778,1.553865,3.672271,4.159218,5.45807,4.240233,5.240526,2.750028,2.560148,3.525318,2.762625,2.973229,6.474777,2.427269,3.217978,3.364701,5.465917,3.118905,3.39815,4.414672,5.024997,4.107826,4.413384,3.168183,8.266494,7.93887,9.081868,7.796897,7.056367,6.790836,7.276174,6.814942,7.478282,8.682814,6.251483,6.885233,7.471787,6.288185,7.852718,7.101952,7.952857,6.071851,6.753967,7.962663,9.154957,9.231649,9.074092,7.212996,7.928279,7.418117,6.712423,7.880822,7.704289,7.135931,7.686634,6.065272,7.152432,8.559527,5.634477,9.065942,7.487067,9.098871,5.511046,6.440908,8.020035,7.668819,9.991303,8.034325,7.575327,9.937285,8.215824,6.731826,7.720056,7.57614, + 5.789066,6.272315,6.334044,6.349203,4.195372,6.244235,5.441289,5.472406,6.021282,5.63103,5.758553,6.395432,4.806371,4.53138,4.117612,7.830935,4.769512,4.525638,6.389914,6.151436,4.547772,5.052894,4.504026,6.349297,5.339992,4.107449,4.591385,3.495128,5.413694,5.464849,5.201117,5.442344,4.102862,6.639672,4.8341,6.503832,4.406084,5.811262,4.599059,6.119691,5.564916,4.668891,4.846449,6.544052,4.814555,4.807562,6.2071,3.735268,6.185654,6.278335,1.532277,3.064813,2.154112,1.930143,0.4279329,0.2421109,0.3752088,1.164009,0.853209,1.044551,1.991585,0.3216583,0.5873959,1.861866,0.2367187,1.427362,1.255939,1.323066,1.348216,1.803955,2.063337,0.3855414,2.203425,2.568164,0,0.1108706,0.3923781,0.1180071,2.118622,1.866237,0.983269,1.530688,0.7349226,1.111905,1.809234,1.283521,1.476954,2.295576,1.174525,1.378808,1.223244,3.366875,0.3378632,0.3254031,0.422127,2.986047,1.553541,0.556642,1.698468,1.213131,7.395458,7.250124,7.195897,4.982805,4.439901,6.632518,6.463013,6.07014,5.283485,6.247731,5.470365,8.201816,7.288306,5.834619,6.160445,5.436463,6.442844,6.736893,6.745918,6.005232,5.606568,4.551273,7.304059,7.731357,6.106057,6.476474,6.878935,4.079519,6.203942,6.460867,8.00955,6.738996,7.25715,5.249166,5.112173,5.925055,5.327146,5.513634,9.009304,4.841569,5.5706,5.424925,7.970487,5.677422,5.726899,6.979391,7.348343,6.669999,6.981546,5.618152,7.245817,6.660476,8.203701,7.260218,6.782499,6.027703,6.259701,6.520171,7.020668,7.709638,5.731349,6.21785,7.160962,5.853229,6.771265,6.053484,7.176064,5.917388,6.376768,7.568404,8.812611,8.277404,8.19712,6.804483,6.765989,6.810927,6.077818,7.09618,6.778624,6.391198,7.351885,5.052605,6.455893,8.314468,4.915322,8.086821,7.136142,8.491459,5.355858,6.031012,7.205141,7.109447,9.071174,8.331773,6.866623,9.038785,7.218371,5.9089,7.340728,7.309187, + 5.78963,6.270991,6.34089,6.322475,4.190662,6.251519,5.411769,5.481751,6.000906,5.625783,5.749415,6.37725,4.792743,4.485165,4.110686,7.829876,4.748372,4.535495,6.441087,6.171367,4.541691,5.08032,4.47151,6.313675,5.354966,4.115803,4.600051,3.520137,5.418355,5.432916,5.188181,5.446917,4.065663,6.639515,4.862265,6.486637,4.444821,5.778032,4.576196,6.093791,5.576396,4.68256,4.853986,6.518247,4.826104,4.802665,6.20949,3.738031,6.147322,6.28187,1.628936,2.985205,2.202214,1.893739,0.3590576,0.162067,0.4010679,1.27238,0.8640757,0.9916365,1.94505,0.3952807,0.6846487,1.771133,0.2934361,1.33479,1.2749,1.431944,1.410658,1.869863,1.955636,0.3228607,2.235057,2.585626,0.1108706,0,0.4338313,0.009995677,2.027898,1.789102,0.992966,1.580318,0.6780538,1.00276,1.718971,1.363241,1.530757,2.371912,1.102535,1.409526,1.170297,3.315225,0.3579953,0.3598897,0.5202123,2.929252,1.629526,0.5107364,1.623964,1.279577,7.387215,7.261181,7.178641,4.970579,4.434353,6.639458,6.451465,6.063599,5.238051,6.238658,5.443173,8.222863,7.264403,5.829669,6.169472,5.457842,6.431068,6.720963,6.748299,5.992597,5.596643,4.567573,7.328026,7.715344,6.106632,6.502816,6.865307,4.083827,6.234042,6.437068,8.015061,6.734693,7.213462,5.247002,5.137088,5.910603,5.339192,5.541532,9.009957,4.88364,5.552866,5.388544,7.966033,5.700601,5.706857,6.999879,7.324763,6.680136,6.997428,5.609351,7.135676,6.552413,8.093093,7.149877,6.674283,5.916896,6.149265,6.411934,6.910834,7.599348,5.621734,6.107252,7.052172,5.744196,6.661367,5.943141,7.065194,5.81135,6.267865,7.45878,8.702946,8.167132,8.086506,6.695084,6.656735,6.700402,5.967385,6.985311,6.667956,6.280381,7.242798,4.941843,6.345163,8.205716,4.804991,7.976644,7.027027,8.380692,5.2506,5.922064,7.094295,6.999043,8.960867,8.230124,6.755816,8.928371,7.108094,5.798037,7.2313,7.200714, + 5.410773,5.895746,5.950171,6.009222,3.823678,5.86005,5.107542,5.086914,5.670354,5.259012,5.391245,6.040715,4.445928,4.237799,3.748713,7.4537,4.421051,4.140064,6.007328,5.760508,4.17743,4.660569,4.177816,6.027323,4.951182,3.723129,4.206632,3.103159,5.031807,5.135972,4.839334,5.060522,3.78793,6.261822,4.44174,6.147514,4.015451,5.484701,4.253836,5.778354,5.178014,4.280901,4.462447,6.202217,4.42778,4.43561,5.826963,3.355961,5.869911,5.897165,1.285438,3.403924,2.471383,2.320666,0.7926494,0.3877379,0.06421847,1.043514,1.234407,0.8209098,2.377193,0.6498783,0.4104402,1.77018,0.1580763,1.734168,1.626439,1.204281,1.641228,2.079441,2.108725,0.3662183,2.551329,2.934611,0.3923781,0.4338313,0,0.4435008,2.427776,2.2127,1.364156,1.850839,1.111721,1.322238,1.716157,1.523712,1.788747,2.530064,1.016916,0.9864747,0.988359,3.092636,0.7232359,0.7026696,0.6528544,3.363031,1.800546,0.9409813,2.050481,0.8554634,7.782257,7.620231,7.586727,5.371943,4.825609,7.007281,6.851654,6.456091,5.670173,6.635133,5.862742,8.558538,7.680512,6.219594,6.533168,5.794009,6.831595,7.127314,7.12501,6.394419,5.994512,4.916362,7.656696,8.121752,6.486851,6.825758,7.268468,4.457894,6.547089,6.853074,8.385433,7.123371,7.644952,5.632331,5.464691,6.314998,5.696864,5.86104,9.389529,5.162981,5.961665,5.815859,8.354802,6.032151,6.11853,7.337377,7.740513,7.041329,7.345832,6.005497,7.311348,6.684335,8.28556,7.40472,6.969875,6.150992,6.336865,6.707561,7.179342,7.779276,5.89675,6.353898,7.339341,6.029342,6.830783,6.127633,7.283679,6.131192,6.554266,7.731119,8.973333,8.34577,8.27923,6.972591,6.810747,6.949278,6.220851,7.203314,6.865493,6.512718,7.525081,5.149219,6.584342,8.492365,5.06427,8.152345,7.309095,8.61487,5.577834,6.208262,7.306214,7.251994,9.139928,8.578904,6.988433,9.111403,7.288252,6.024038,7.507662,7.492283, + 5.796952,6.27819,6.34858,6.327889,4.19768,6.259235,5.416976,5.489592,6.006809,5.63274,5.756114,6.383308,4.79915,4.488956,4.117561,7.837079,4.754238,4.543378,6.450703,6.179761,4.548612,5.089078,4.476492,6.318367,5.363114,4.12361,4.607866,3.528809,5.425928,5.437927,5.19463,5.454484,4.070266,6.646784,4.871058,6.492766,4.454047,5.782931,4.581936,6.099273,5.584354,4.690648,4.861733,6.523731,4.834076,4.809657,6.216918,3.745523,6.151786,6.289366,1.638452,2.975213,2.198947,1.884774,0.349287,0.1644851,0.4103248,1.280623,0.8581077,0.9951803,1.935686,0.3957064,0.6940594,1.769825,0.3034171,1.324998,1.269351,1.440066,1.408946,1.868434,1.950709,0.3263453,2.230339,2.579771,0.1180071,0.009995677,0.4435008,0,2.018062,1.779107,0.9868423,1.577288,0.6684941,0.9946451,1.717743,1.363521,1.528139,2.371631,1.103952,1.418553,1.173763,3.318542,0.3535895,0.356683,0.5235497,2.919549,1.62929,0.501685,1.613982,1.289535,7.379554,7.254751,7.170481,4.962715,4.426886,6.632754,6.443622,6.05605,5.228667,6.230959,5.434532,8.217148,7.255906,5.822217,6.162914,5.452182,6.423212,6.712877,6.741294,5.984698,5.588901,4.561554,7.322541,7.707247,6.099519,6.497524,6.857345,4.076989,6.229053,6.428581,8.00825,6.727271,7.204129,5.239727,5.131705,5.902604,5.332854,5.536376,9.002826,4.879692,5.544695,5.3795,7.958592,5.695074,5.698564,6.994132,7.316281,6.673648,6.991342,5.601674,7.129645,6.547308,8.086696,7.142288,6.665956,5.909741,6.143027,6.403611,6.902994,7.593216,5.613808,6.099847,7.043988,5.736079,6.655479,5.936974,7.058307,5.802617,6.259712,7.450859,8.695041,8.161013,8.080105,6.687083,6.651165,6.692937,5.959854,6.978436,6.661498,6.273247,7.234699,4.935263,6.337894,8.197523,4.797395,7.970589,7.018936,8.373472,5.241754,5.913923,7.087537,6.991494,8.954722,8.220892,6.748662,8.922146,7.101972,5.791044,7.223309,7.192449, + 7.190531,7.636415,7.801012,7.341972,5.590327,7.718582,6.4266,6.990118,7.124385,6.961613,7.032482,7.51901,6.056102,5.292077,5.489152,9.165765,5.915483,6.077671,8.310249,7.775347,5.908823,6.775948,5.494566,7.194782,6.925603,5.658499,6.127745,5.23674,6.876946,6.410272,6.443125,6.903699,5.049018,8.010338,6.568863,7.63886,6.245352,6.719411,5.729358,7.133941,7.105233,6.258378,6.361309,7.544922,6.376159,6.172518,7.620967,5.241367,6.990849,7.705071,3.648855,1.030125,2.751629,1.232508,1.701045,2.040122,2.375364,3.230121,1.812585,2.410667,1.054051,2.144978,2.705379,2.244585,2.314341,0.6941119,1.913705,3.37693,2.473976,2.803036,1.687677,2.10448,2.510328,2.500038,2.118622,2.027898,2.427776,2.018062,0,0.4418299,1.795101,2.401073,1.45745,1.200576,2.230428,2.662055,2.429408,3.34108,2.268064,3.276898,2.508117,4.149617,1.955776,2.001996,2.326661,1.360509,2.787468,1.636676,0.5814636,3.279953,6.284932,6.495651,5.936373,3.926235,3.559676,5.82759,5.329869,5.045567,3.63631,5.168533,4.114154,7.603683,5.915119,4.852166,5.41895,4.979538,5.306559,5.516057,5.851321,4.874669,4.547395,4.075884,6.794602,6.476991,5.209715,6.051674,5.692573,3.431589,5.868451,5.116654,7.12577,5.723089,5.579163,4.357538,4.750461,4.766413,4.698112,5.179038,8.011383,4.845827,4.37364,3.916557,6.908826,5.238359,4.480466,6.416058,5.978753,5.923241,6.329592,4.578655,5.807704,5.44184,6.66669,5.49581,4.878357,4.385025,4.809509,4.620715,5.209665,6.238366,3.930395,4.51518,5.279685,4.008503,5.378791,4.627577,5.558766,3.94679,4.513588,5.73296,6.966677,6.796207,6.659208,4.964628,5.442433,5.080809,4.352059,5.483234,5.262887,4.741809,5.484606,3.585733,4.775808,6.419188,3.219765,6.622917,5.273301,6.782197,3.371799,4.177219,5.614185,5.355765,7.5705,6.263594,5.200439,7.522441,5.761791,4.3063,5.494712,5.410386, + 7.219424,7.677011,7.816282,7.465331,5.608704,7.731538,6.544884,6.987886,7.222607,7.006526,7.091331,7.615155,6.113183,5.443862,5.512129,9.220074,5.994603,6.060393,8.182986,7.747369,5.938419,6.713923,5.602485,7.347464,6.904552,5.638096,6.115005,5.15933,6.888311,6.536719,6.505227,6.915714,5.160333,8.051122,6.502192,7.733142,6.142833,6.856012,5.810039,7.251407,7.097561,6.232241,6.355911,7.667807,6.358407,6.203437,7.649039,5.228526,7.150151,7.730284,3.372162,1.199797,2.309811,0.8108484,1.438363,1.833036,2.167292,2.919794,1.431473,2.34131,0.6501585,1.837383,2.441286,2.365454,2.082351,0.565338,1.489464,3.059109,2.055776,2.369232,1.914174,1.926193,2.071419,2.081195,1.866237,1.789102,2.2127,1.779107,0.4418299,0,1.397376,1.969409,1.152102,1.150031,2.341898,2.257645,2.001346,2.903334,2.241201,3.126479,2.464105,4.277668,1.652596,1.697376,2.011895,1.251369,2.367321,1.338309,0.1758841,3.06687,6.101335,6.234899,5.789277,3.704999,3.290858,5.57203,5.144654,4.831019,3.596665,4.968365,3.978173,7.320009,5.800435,4.625719,5.147219,4.653161,5.121936,5.355338,5.614708,4.684399,4.335574,3.740843,6.491257,6.331881,4.967789,5.72968,5.52408,3.113861,5.53152,4.987472,6.895236,5.512659,5.566283,4.104598,4.407032,4.582233,4.397626,4.836112,7.810235,4.457268,4.195063,3.828008,6.717138,4.91178,4.316783,6.119495,5.863399,5.656855,6.048248,4.362448,6.248313,5.872398,7.108493,5.930405,5.297878,4.826354,5.249589,5.041704,5.640672,6.679784,4.365014,4.954654,5.701904,4.438691,5.817706,5.066664,5.99994,4.355622,4.940164,6.160409,7.391006,7.23787,7.101008,5.393015,5.878655,5.518231,4.790717,5.924522,5.704517,5.182765,5.908428,4.02436,5.21585,6.83703,3.661026,7.064352,5.69816,7.219049,3.779777,4.605878,6.05575,5.791332,8.012327,6.627764,5.640573,7.964259,6.202763,4.748098,5.921309,5.829545, + 6.772028,7.255535,7.314271,7.31184,5.178408,7.224185,6.399066,6.451011,6.993425,6.614023,6.740281,7.370145,5.785299,5.447408,5.100097,8.814107,5.740774,5.504167,7.266628,7.117204,5.530531,6.006076,5.456236,7.293458,6.313076,5.087252,5.570788,4.45568,6.395293,6.417774,6.180576,6.423981,5.044849,7.622739,5.786071,7.479596,5.332699,6.761233,5.568037,7.083775,6.541625,5.643823,5.826544,7.508226,5.791507,5.790592,7.189542,4.717864,7.123019,7.260338,2.180276,2.521947,1.302209,1.089229,0.7539775,1.141149,1.356351,1.660254,0.1300749,1.961468,1.215604,0.7338114,1.37066,2.565129,1.206513,1.259519,0.2931896,1.774118,0.7079111,1.120185,2.507193,1.303263,1.267536,1.593704,0.983269,0.992966,1.364156,0.9868423,1.795101,1.397376,0,0.7333757,0.586893,1.380711,2.518948,0.8674883,0.7236222,1.677679,2.023734,2.340595,2.136946,4.26763,0.6454248,0.6617291,0.8329841,2.233558,1.019543,0.5866061,1.227797,2.086817,6.41947,6.268954,6.234265,4.013836,3.462209,5.649548,5.4918,5.09269,4.425762,5.27317,4.536586,7.231558,6.342042,4.855686,5.17816,4.467109,5.47199,5.772995,5.762841,5.036023,4.633506,3.574774,6.338912,6.766986,5.123523,5.516278,5.910808,3.096275,5.252643,5.515335,7.026352,5.759276,6.383009,4.268191,4.149533,4.959057,4.346582,4.557359,8.026592,3.931204,4.611542,4.52457,6.990685,4.711176,4.772887,6.008376,6.40117,5.688275,6.004501,4.643564,7.452136,6.97387,8.359125,7.262432,6.671049,6.105201,6.451058,6.412551,6.987114,7.900562,5.700167,6.258106,7.070229,5.789417,6.998358,6.255724,7.277132,5.741733,6.299805,7.516831,8.754279,8.465807,8.351975,6.747605,7.028725,6.835774,6.101682,7.199517,6.937942,6.467183,7.27348,5.21951,6.512538,8.212421,4.948637,8.284059,7.061121,8.536998,5.16654,5.960655,7.322707,7.118893,9.251847,8.022502,6.934743,9.210091,7.414307,6.009916,7.280073,7.203122, + 7.20998,7.699752,7.721228,7.859933,5.647045,7.629558,6.958071,6.851395,7.517458,7.07767,7.219731,7.884916,6.285919,6.06202,5.577879,9.252108,6.269949,5.909648,7.434492,7.462189,6.00257,6.323496,6.026141,7.874231,6.688315,5.503222,5.980899,4.807811,6.817145,6.985423,6.677191,6.846052,5.630238,8.060377,6.102419,7.990216,5.601153,7.333452,6.103866,7.628914,6.931537,6.030989,6.239531,8.052655,6.186902,6.256493,7.617469,5.160523,7.71329,7.682768,2.268672,2.956113,0.6235286,1.387627,1.435891,1.741702,1.86477,1.719637,0.8145324,2.57129,1.573058,1.215003,1.69995,3.269085,1.707485,1.954005,0.5011761,1.775629,0.2637454,0.4049802,3.240266,1.903053,0.7389718,1.190065,1.530688,1.580318,1.850839,1.577288,2.401073,1.969409,0.7333757,0,1.318246,2.113916,3.220989,0.5358592,0.08308922,0.9592728,2.673109,2.746155,2.750103,4.895184,1.228077,1.220621,1.2048,2.492373,0.4575029,1.289911,1.819721,2.387347,6.108983,5.829263,5.990931,3.767647,3.176781,5.240209,5.214684,4.78359,4.444331,4.980464,4.398625,6.728292,6.147452,4.537989,4.758142,3.970393,5.196815,5.525072,5.383573,4.773332,4.356652,3.119581,5.820492,6.509332,4.762543,4.985744,5.644165,2.741394,4.700988,5.331104,6.618856,5.426658,6.344097,3.938566,3.631849,4.711458,3.912987,4.019854,7.646339,3.314064,4.395829,4.463128,6.649709,4.201991,4.572191,5.511221,6.203446,5.257516,5.53552,4.357966,8.14632,7.69001,9.038273,7.896852,7.263958,6.769943,7.14461,7.008804,7.609637,8.589989,6.331458,6.910443,7.669501,6.407847,7.69832,6.952398,7.943946,6.313302,6.909436,8.129758,9.359392,9.153355,9.030985,7.362424,7.735877,7.480084,6.749499,7.867279,7.622063,7.129719,7.876768,5.912423,7.168849,8.801213,5.607323,8.974184,7.66693,9.181902,5.737698,6.575271,7.994187,7.756539,9.935867,8.507167,7.592793,9.89171,8.10614,6.681978,7.890534,7.795154, + 6.405605,6.881567,6.9706,6.85309,4.797007,6.882267,5.934529,6.117662,6.555229,6.227169,6.339731,6.938132,5.372268,4.940822,4.711519,8.439356,5.303993,5.173785,7.119046,6.825558,5.143395,5.745314,4.986759,6.808618,6.001618,4.751948,5.235888,4.183596,6.044426,5.946108,5.76863,6.07275,4.564449,7.252551,5.528221,7.050573,5.119867,6.28472,5.126629,6.628122,6.216396,5.327701,5.487104,7.051843,5.467174,5.40679,6.829256,4.363516,6.631061,6.904227,2.220088,2.35082,1.884514,1.229563,0.3217145,0.7701219,1.07793,1.77607,0.5108431,1.503019,1.269017,0.6899008,1.293409,1.994957,0.9656418,0.8057677,0.8636264,1.920623,1.258358,1.695647,1.922674,0.9077601,1.818458,2.086147,0.7349226,0.6780538,1.111721,0.6684941,1.45745,1.152102,0.586893,1.318246,0,0.7974665,1.950658,1.351006,1.30234,2.249487,1.517014,2.082361,1.668121,3.755444,0.5022897,0.5478595,0.8697906,2.252385,1.555037,0.1863933,0.9792767,1.948053,6.768661,6.703223,6.538751,4.345433,3.829196,6.068193,5.825544,5.451452,4.561269,5.619372,4.785798,7.701732,6.611422,5.22246,5.606666,4.946099,5.804605,6.084379,6.161639,5.364605,4.976186,4.039194,6.821106,7.077754,5.515506,6.008713,6.233872,3.512466,5.758143,5.78479,7.43661,6.127772,6.537335,4.649462,4.642474,5.278348,4.790211,5.058422,8.414964,4.476238,4.913619,4.718638,7.357154,5.195569,5.062502,6.479116,6.672323,6.120068,6.458186,4.991857,6.929844,6.423493,7.853559,6.808969,6.264069,5.620787,5.931032,6.003141,6.547371,7.383482,5.255686,5.78759,6.655002,5.358867,6.46944,5.732097,6.787472,5.362069,5.876542,7.085747,8.328246,7.950313,7.846577,6.316982,6.4905,6.372586,5.63685,6.708924,6.428628,5.984321,6.853328,4.703017,6.036715,7.804509,4.475883,7.765706,6.63902,8.069365,4.791392,5.533486,6.827588,6.662288,8.739674,7.718159,6.455837,8.700724,6.894939,5.51711,6.852318,6.795013, + 6.069688,6.528377,6.666355,6.352949,4.458697,6.58171,5.430978,5.839486,6.094357,5.858808,5.946765,6.4852,4.968911,4.364458,4.362304,8.073427,4.858709,4.914672,7.109882,6.605522,4.788986,5.587165,4.484111,6.260433,5.760225,4.492956,4.968246,4.041483,5.73849,5.42906,5.362099,5.765862,4.046165,6.902422,5.378098,6.602056,5.045526,5.755779,4.675218,6.135229,5.950124,5.089123,5.20783,6.554663,5.212948,5.054056,6.499208,4.081336,6.070401,6.580326,2.602161,2.228043,2.664385,1.671471,0.8053759,0.950475,1.262021,2.275056,1.307979,1.213267,1.614617,1.281367,1.672124,1.307324,1.245315,0.5847388,1.644508,2.4347,2.052614,2.493066,1.126535,0.9651172,2.56301,2.766937,1.111905,1.00276,1.322238,0.9946451,1.200576,1.150031,1.380711,2.113916,0.7974665,0,1.272417,2.123108,2.099678,3.046255,1.092859,2.087965,1.322039,3.183541,1.114497,1.155465,1.458076,2.401389,2.343076,0.8722452,1.046706,2.1434,7.201897,7.251651,6.91435,4.785838,4.323908,6.599851,6.247187,5.910086,4.745756,6.059667,5.112929,8.295205,6.939578,5.694245,6.155179,5.566822,6.225,6.473741,6.666071,5.785056,5.420194,4.650279,7.435112,7.456986,6.01682,6.640848,6.637121,4.073268,6.409706,6.122492,7.948024,6.59222,6.712811,5.147496,5.284038,5.6879,5.366223,5.707831,8.891295,5.189586,5.30645,4.975855,7.809402,5.821611,5.436872,7.078804,7.002234,6.668958,7.034558,5.44285,6.18544,5.648567,7.127346,6.151587,5.672244,4.927989,5.191496,5.409865,5.909434,6.644416,4.619679,5.112457,6.049465,4.741439,5.718118,4.988689,6.083354,4.816311,5.265116,6.456726,7.700986,7.212208,7.120578,5.692602,5.72854,5.70431,4.970214,6.003865,5.700943,5.291884,6.240053,3.97233,5.353299,7.203025,3.806942,7.024547,6.024292,7.389481,4.259392,4.919307,6.116477,6.001403,8.004349,7.25667,5.766631,7.968711,6.154046,4.813718,6.228859,6.198285, + 4.985437,5.420777,5.607408,5.125654,3.405862,5.527831,4.206495,4.822565,4.895813,4.744428,4.80749,5.290061,3.833534,3.1055,3.299742,6.940798,3.685561,3.943463,6.412386,5.642827,3.708718,4.725099,3.268407,5.007511,4.788384,3.536716,3.984835,3.269163,4.69201,4.195942,4.2175,4.717819,2.824054,5.793898,4.533115,5.40955,4.317836,4.514126,3.499308,4.913657,4.944843,4.138248,4.203698,5.328335,4.239028,3.969621,5.415307,3.112766,4.812651,5.501779,2.82529,3.214353,3.819004,2.942306,1.785206,1.567145,1.659466,2.736593,2.415195,0.9592316,2.875187,2.11277,2.119988,0.0540279,1.764207,1.805636,2.807419,2.891738,3.094449,3.555734,0.7518234,1.438154,3.769109,4.015471,1.809234,1.718971,1.716157,1.717743,2.230428,2.341898,2.518948,3.220989,1.950658,1.272417,0,3.078286,3.187051,4.07873,0.7148581,1.849434,0.8650851,1.935806,2.025404,2.046916,2.230775,3.564417,3.338763,1.935973,2.276021,2.183322,8.441262,8.521407,8.129565,6.035514,5.588601,7.867614,7.484824,7.161581,5.866673,7.304736,6.314474,9.567617,8.130002,6.950132,7.425533,6.836759,7.46223,7.697089,7.928457,7.023894,6.668571,5.920843,8.706451,8.671993,7.279433,7.90954,7.865938,5.345544,7.673977,7.322486,9.210625,7.843896,7.802928,6.410953,6.550032,6.922952,6.638596,6.972229,10.14312,6.423827,6.536635,6.140279,9.054565,7.090915,6.658505,8.351008,8.193327,7.939067,8.306728,6.693356,5.710682,5.023451,6.70902,5.988911,5.702211,4.695859,4.767658,5.445836,5.810107,6.182888,4.577991,4.930998,6.032474,4.744355,5.223019,4.554772,5.771473,4.989747,5.260503,6.366059,7.587164,6.743813,6.70322,5.637691,5.178658,5.522499,4.821524,5.690859,5.310782,5.046269,6.19737,3.645584,5.135594,7.16646,3.71759,6.546447,5.984244,7.12856,4.492706,4.922353,5.778415,5.832704,7.534896,7.526429,5.51554,7.513264,5.695724,4.549291,6.159542,6.199149, + 6.770996,7.262776,7.265674,7.489791,5.231206,7.173477,6.599726,6.395008,7.1303,6.653161,6.80411,7.490195,5.88715,5.760111,5.167954,8.808755,5.891209,5.458846,6.908686,6.981428,5.587039,5.835562,5.681231,7.531601,6.221332,5.059339,5.532036,4.338678,6.371114,6.63425,6.274208,6.400042,5.301564,7.619108,5.614723,7.592379,5.099924,6.984965,5.730887,7.257152,6.470208,5.57128,5.791077,7.679114,5.730344,5.836227,7.172282,4.7325,7.379953,7.234695,1.745563,3.341234,1.042962,1.811013,1.344235,1.521189,1.553015,1.199944,0.8699207,2.313114,1.977831,0.9679693,1.284932,3.129741,1.403253,2.110724,0.8044607,1.245078,0.2809255,0.5749321,3.221668,1.668724,1.248703,1.714405,1.283521,1.363241,1.523712,1.363521,2.662055,2.257645,0.8674883,0.5358592,1.351006,2.123108,3.078286,0,0.4530989,1.013432,2.457776,2.327139,2.489534,4.615698,1.061572,1.034916,0.8814856,2.951488,0.2769006,1.250878,2.09108,1.926546,6.624081,6.304482,6.518052,4.297534,3.703191,5.728978,5.737636,5.301405,4.970621,5.501062,4.934426,7.169698,6.679816,5.054604,5.244637,4.426836,5.720121,6.052067,5.881996,5.299269,4.881207,3.601627,6.255743,7.033844,5.268034,5.416939,6.168224,3.257296,5.119578,5.864741,7.104879,5.937851,6.877638,4.454377,4.079265,5.239565,4.398172,4.45228,8.140134,3.689569,4.927817,4.997046,7.156618,4.650208,5.105228,5.959844,6.735506,5.738129,5.99848,4.881094,8.280433,7.769437,9.200304,8.125048,7.538536,6.957275,7.281199,7.280012,7.852235,8.73329,6.564141,7.115633,7.93758,6.655463,7.820444,7.082739,8.127145,6.608134,7.166638,8.383145,9.621173,9.299854,9.193263,7.613847,7.840715,7.695784,6.960956,8.049049,7.776338,7.320069,8.140628,6.05224,7.368269,9.079907,5.804753,9.115784,7.928134,9.396088,6.032739,6.827092,8.169921,7.980733,10.08851,8.871079,7.789421,10.04879,8.245109,6.857946,8.146678,8.070609, + 7.137468,7.62755,7.646649,7.796648,5.577278,7.554905,6.896236,6.776634,7.451817,7.007017,7.15026,7.81831,6.218518,6.007726,5.508864,9.179201,6.20521,5.835475,7.351866,7.38447,5.932916,6.244852,5.965911,7.814724,6.612221,5.429851,5.90698,4.731226,6.743689,6.924573,6.609306,6.772602,5.572099,7.987653,6.023787,7.923206,5.520949,7.273041,6.03986,7.565373,6.856166,5.955725,6.165698,7.988935,6.112047,6.186271,7.544202,5.089084,7.655041,7.609137,2.186099,3.007707,0.6826462,1.443674,1.402384,1.692613,1.804602,1.637208,0.7934879,2.519978,1.625896,1.158737,1.627361,3.235713,1.647619,1.962891,0.5179137,1.692596,0.1813121,0.3969359,3.224838,1.852897,0.8180425,1.272059,1.476954,1.530757,1.788747,1.528139,2.429408,2.001346,0.7236222,0.08308922,1.30234,2.099678,3.187051,0.4530989,0,0.955024,2.627845,2.6747,2.698828,4.843506,1.182124,1.172074,1.139698,2.55768,0.39313,1.262637,1.848034,2.310826,6.190283,5.90525,6.073552,3.85049,3.259274,5.318022,5.296867,4.865171,4.524195,5.062377,4.481535,6.799556,6.230485,4.619415,4.835588,4.043351,5.279036,5.607677,5.462709,4.85582,4.438986,3.196073,5.890733,6.591701,4.842571,5.055221,5.726475,2.822587,4.768509,5.414186,6.696401,5.507454,6.42588,4.019859,3.703347,4.794157,3.990123,4.089234,7.72498,3.374286,4.478834,4.545015,6.730014,4.273794,4.655251,5.583362,6.286461,5.334198,5.609734,4.440145,8.158282,7.693164,9.054921,7.923978,7.298593,6.79005,7.156663,7.042805,7.639058,8.603533,6.358835,6.933512,7.703158,6.437726,7.708242,6.963382,7.963749,6.35105,6.941075,8.161088,9.392347,9.167536,9.047671,7.393237,7.743062,7.50505,6.773537,7.886829,7.637108,7.150442,7.909773,5.924478,7.191061,8.836874,5.628572,8.987543,7.699444,9.207019,5.775269,6.605908,8.012796,7.782972,9.951183,8.55717,7.614679,9.907729,8.118867,6.700208,7.922264,7.830069, + 7.64549,8.138616,8.108754,8.443974,6.145777,8.015911,7.565177,7.24044,8.069658,7.549893,7.712218,8.420861,6.818415,6.758122,6.089967,9.6692,6.842012,6.320033,7.506241,7.768827,6.500192,6.610302,6.658038,8.50624,7.045943,5.93502,6.396179,5.173502,7.235598,7.604764,7.199404,7.264425,6.28854,8.486677,6.391846,8.519403,5.838546,7.956635,6.687161,8.210433,7.305415,6.415019,6.654388,8.629976,6.579188,6.742138,8.03478,5.634231,8.360551,8.091859,2.476359,3.801361,0.7147123,2.237463,2.313049,2.531408,2.562363,1.992881,1.738646,3.326173,2.434785,1.97749,2.255038,4.129372,2.414679,2.913255,1.460322,1.968228,0.9973243,0.5581607,4.16769,2.681069,1.066144,1.472576,2.295576,2.371912,2.530064,2.371631,3.34108,2.903334,1.677679,0.9592728,2.249487,3.046255,4.07873,1.013432,0.955024,0,3.4701,3.267087,3.502244,5.622258,2.053477,2.032088,1.894297,3.234965,0.7424205,2.191373,2.762133,2.822891,6.074295,5.597389,6.055476,3.903258,3.293629,5.072644,5.250463,4.785923,4.879339,5.000577,4.649552,6.371014,6.275747,4.536189,4.58728,3.694781,5.235899,5.594072,5.260552,4.843397,4.421798,2.969094,5.45091,6.543357,4.686633,4.612042,5.683686,2.791297,4.293966,5.492332,6.424905,5.3747,6.667202,3.944377,3.3325,4.804929,3.752682,3.663829,7.480448,2.816728,4.544864,4.805621,6.559077,3.893478,4.734904,5.186629,6.326373,5.0541,5.260157,4.41043,9.104726,8.647649,9.99297,8.832956,8.177296,7.720514,8.103013,7.924666,8.539706,9.547468,7.267779,7.855929,8.586018,7.337426,8.657425,7.911234,8.894709,7.215614,7.833306,9.053765,10.27729,10.11034,9.985641,8.288528,8.695075,8.421462,7.693137,8.818428,8.578456,8.079243,8.795396,6.87089,8.115834,9.709425,6.556516,9.931767,8.587375,10.12238,6.641634,7.502498,8.946631,8.694417,10.89184,9.33963,8.540237,10.84701,9.06415,7.635149,8.813405,8.706994, + 4.983799,5.446772,5.576097,5.342339,3.371047,5.491,4.422173,4.74688,5.056832,4.780423,4.8765,5.44351,3.900852,3.427874,3.27657,6.996626,3.810174,3.822054,6.081518,5.51441,3.705237,4.508252,3.473487,5.291613,4.668033,3.400575,3.875412,2.975701,4.647801,4.43131,4.296093,4.675296,3.048352,5.820445,4.301998,5.558027,3.998841,4.768642,3.629738,5.119031,4.857277,3.997598,4.115094,5.541992,4.120391,3.970384,5.412633,2.98848,5.114405,5.492754,2.119212,3.297501,3.290442,2.672358,1.270452,0.9410287,0.9643192,2.023459,1.904754,0.2549583,2.652112,1.49373,1.413123,0.7683506,1.085222,1.676175,2.316728,2.177761,2.512748,2.972374,1.273299,0.7890773,3.291012,3.596184,1.174525,1.102535,1.016916,1.103952,2.268064,2.241201,2.023734,2.673109,1.517014,1.092859,0.7148581,2.457776,2.627845,3.4701,0,1.221141,0.250095,2.245108,1.445758,1.456894,1.584111,3.491795,2.728003,1.444221,2.128068,1.49205,8.237713,8.215412,7.973356,5.814007,5.321274,7.576101,7.287038,6.931402,5.837815,7.090539,6.183769,9.218745,8.012934,6.708031,7.118147,6.462248,7.26537,7.527173,7.661363,6.824656,6.448083,5.556177,8.337227,8.515341,7.013365,7.522639,7.685359,5.023949,7.267485,7.192249,8.939727,7.611406,7.80565,6.144731,6.155725,6.732004,6.305597,6.569262,9.905893,5.953669,6.356485,6.060948,8.836431,6.710982,6.493947,7.996099,8.075205,7.631999,7.974298,6.467285,6.404255,5.732698,7.396185,6.619807,6.275923,5.337576,5.450051,6.01614,6.423177,6.875614,5.166557,5.561437,6.622547,5.320404,5.918221,5.237988,6.436351,5.509478,5.842549,6.979116,8.210566,7.43861,7.390217,6.237154,5.880783,6.156216,5.442615,6.355678,5.989285,5.693243,6.795907,4.301492,5.776321,7.766854,4.311975,7.242243,6.581032,7.786637,4.985568,5.499705,6.448638,6.464487,8.231057,8.022574,6.166049,8.207449,6.38682,5.197806,6.765686,6.784507, + 4.464758,4.953948,4.986607,5.176905,2.905675,4.895664,4.301095,4.119468,4.807003,4.332732,4.479046,5.164093,3.560748,3.570019,2.840999,6.507675,3.575061,3.173801,5.057097,4.777029,3.261547,3.674094,3.407362,5.248519,3.973895,2.762094,3.242908,2.117359,4.075509,4.344267,3.947126,4.10437,3.062492,5.315574,3.455304,5.265649,3.037862,4.696699,3.420323,4.943401,4.206227,3.306674,3.500611,5.363275,3.4572,3.512937,4.874617,2.414416,5.110909,4.941641,1.141261,4.289935,3.347341,3.303209,1.760658,1.316421,1.009267,1.347942,2.211983,0.9792206,3.351362,1.610169,1.048435,1.89594,1.143608,2.602146,2.589686,1.448388,2.508073,2.90207,2.491984,1.202676,3.473652,3.882723,1.378808,1.409526,0.9864747,1.418553,3.276898,3.126479,2.340595,2.746155,2.082361,2.087965,1.849434,2.327139,2.6747,3.267087,1.221141,0,1.000205,2.527891,1.707156,1.683286,1.556959,4.319211,2.594293,1.920238,2.975362,0.4968997,8.759332,8.564443,8.571148,6.353745,5.801728,7.961325,7.83231,7.431931,6.642686,7.613584,6.849044,9.474215,8.666935,7.193718,7.483663,6.716087,7.812451,8.11107,8.087458,7.376116,6.974099,5.854966,8.565188,9.105399,7.452979,7.728994,8.250662,5.421525,7.438567,7.839499,9.340747,8.096022,8.619287,6.603429,6.377881,7.298014,6.642649,6.763021,10.3532,6.016707,6.946556,6.79805,9.326952,6.94813,7.104262,8.257354,8.726904,7.988551,8.278585,6.984014,7.547217,6.826834,8.550957,7.827904,7.496893,6.539498,6.613717,7.237205,7.637904,8.019943,6.385943,6.769292,7.842181,6.541101,7.058142,6.400569,7.620901,6.726711,7.062893,8.19404,9.42231,8.57786,8.545291,7.455143,7.002553,7.362789,6.654234,7.540285,7.158183,6.892074,8.014244,5.493421,6.97901,8.985072,5.529962,8.379314,7.799625,8.977532,6.197902,6.720352,7.627593,7.672112,9.366384,9.232057,7.362615,9.347511,7.534916,6.395422,7.982392,8.004726, + 4.77661,5.244168,5.361932,5.187214,3.16307,5.275971,4.270271,4.526444,4.887276,4.581645,4.684798,5.270801,3.712534,3.316007,3.071527,6.79767,3.636503,3.596426,5.832279,5.284311,3.50205,4.268262,3.324216,5.156998,4.440492,3.174022,3.651577,2.730772,4.433234,4.285159,4.108668,4.460972,2.908648,5.617196,4.060766,5.383723,3.750886,4.626777,3.458676,4.96141,4.634598,3.768479,3.894048,5.385402,3.894359,3.76692,5.204268,2.765763,4.986093,5.282981,1.96904,3.538163,3.372427,2.85609,1.394536,1.009953,0.946763,1.932617,2.012868,0.1788516,2.8476,1.544355,1.353623,0.9150691,1.088575,1.900941,2.427378,2.080354,2.571234,3.025205,1.494862,0.8474523,3.397449,3.725011,1.223244,1.170297,0.988359,1.173763,2.508117,2.464105,2.136946,2.750103,1.668121,1.322039,0.8650851,2.489534,2.698828,3.502244,0.250095,1.000205,0,2.145084,1.526353,1.530172,1.608077,3.711949,2.764278,1.573079,2.344089,1.319563,8.421061,8.370428,8.168173,5.996434,5.492711,7.736308,7.472921,7.109618,6.059621,7.272619,6.386389,9.358904,8.216132,6.883456,7.274243,6.597469,7.451507,7.719365,7.82853,7.010831,6.629571,5.696904,8.47138,8.709534,7.181745,7.651597,7.874881,5.180283,7.389582,7.39358,9.104363,7.788073,8.030388,6.314595,6.284471,6.92032,6.455108,6.693931,10.07903,6.052406,6.547941,6.273793,9.015495,6.843802,6.688754,8.135612,8.278127,7.787435,8.121286,6.647313,6.57576,5.88314,7.573534,6.82816,6.501442,5.541028,5.630992,6.242333,6.637784,7.047946,5.387723,5.769535,6.84407,5.544841,6.088097,5.418275,6.628839,5.745143,6.06581,7.19393,8.422159,7.608887,7.567706,6.45588,6.042687,6.363301,5.654057,6.54818,6.173124,5.894548,7.015129,4.497885,5.980389,7.985848,4.530866,7.411483,6.800674,7.983102,5.224785,5.723938,6.637976,6.672443,8.399891,8.262613,6.365891,8.378346,6.560671,5.398195,6.982623,7.007344, + 3.246744,3.630998,3.891677,3.192905,1.849297,3.822994,2.277155,3.213966,2.986869,2.961625,2.981542,3.382217,2.049149,1.186418,1.73509,5.094141,1.834045,2.502175,5.281001,4.091139,2.051854,3.421803,1.355596,3.076927,3.267807,2.188786,2.512296,2.392467,3.03484,2.261797,2.399192,3.056343,0.9104486,3.995098,3.282723,3.503751,3.323124,2.578353,1.649816,2.984407,3.351175,2.717421,2.665,3.395801,2.759615,2.282056,3.663845,1.824292,2.887951,3.75673,3.656902,5.098365,5.517437,4.850859,3.515253,3.154431,3.062888,3.851178,4.147003,2.323895,4.797698,3.686932,3.391474,1.913784,3.214587,3.737204,4.560255,3.966475,4.71303,5.163349,2.51039,2.992368,5.533905,5.839668,3.366875,3.315225,3.092636,3.318542,4.149617,4.277668,4.26763,4.895184,3.755444,3.183541,1.935806,4.615698,4.843506,5.622258,2.245108,2.527891,2.145084,0,3.670401,3.675113,3.737469,5.495767,4.892301,3.689316,4.208576,3.023935,10.37561,10.42755,10.06496,7.965976,7.506737,9.779551,9.419397,9.091356,7.777566,9.237324,8.248668,11.45073,10.061,8.877139,9.330093,8.700316,9.396876,9.632894,9.849331,8.958151,8.599758,7.790524,10.5751,10.6073,9.200076,9.764156,9.80161,7.240231,9.511717,9.255971,11.13114,9.773669,9.692497,8.330617,8.397841,8.857883,8.529038,8.812872,12.07302,8.19401,8.472094,8.065978,10.98736,8.950565,8.59431,10.22947,10.12445,9.844247,10.19905,8.623562,5.979907,5.101704,6.995869,6.701462,6.681336,5.426873,5.212692,6.449878,6.619603,6.435995,5.563221,5.70566,6.932417,5.766231,5.50447,5.01001,6.288868,6.181815,6.229818,7.150613,8.276972,6.947217,6.991982,6.516537,5.372629,6.244107,5.649822,6.21312,5.750528,5.722693,7.054529,4.391357,5.84194,7.979279,4.749438,6.746674,6.858183,7.632066,5.784452,5.928571,6.256258,6.54823,7.691474,8.697488,6.141806,7.69405,5.992999,5.252733,6.984746,7.111249, + 6.126875,6.610178,6.670982,6.678683,4.533067,6.581078,5.768742,5.808766,6.354479,5.968706,6.095652,6.729673,5.142264,4.842071,4.455036,8.168792,5.102255,4.861938,6.689152,6.483238,4.885329,5.379917,4.829059,6.671609,5.674375,4.444188,4.927999,3.824513,5.75108,5.790398,5.537245,5.779743,4.423647,6.977508,5.160619,6.838497,4.722884,6.135724,4.930856,6.449714,5.90061,5.003898,5.183314,6.874151,5.150302,5.145255,6.544761,4.072963,6.50531,6.61586,1.721703,2.849494,1.84804,1.621942,0.3093373,0.5164563,0.7118641,1.274785,0.5153781,1.348003,1.699351,0.1894754,0.8105136,2.075927,0.5651645,1.287323,0.9206474,1.421284,1.072967,1.534586,2.173656,0.6794786,1.87719,2.232823,0.3378632,0.3579953,0.7232359,0.3535895,1.955776,1.652596,0.6454248,1.228077,0.5022897,1.114497,2.025404,1.061572,1.182124,2.053477,1.445758,1.707156,1.526353,3.670401,0,0.04640422,0.3733483,2.709112,1.314965,0.319186,1.478672,1.499493,7.059537,6.913113,6.864198,4.648717,4.103372,6.29483,6.128431,5.733759,4.982168,5.912174,5.146561,7.868534,6.961243,5.497821,5.823022,5.103264,6.108364,6.404476,6.408072,5.671192,5.271394,4.21572,6.972407,7.398885,5.768322,6.146338,6.545284,3.741656,5.876604,6.13387,7.671756,6.402002,6.952208,4.91181,4.781035,5.591935,4.990314,5.184574,8.671535,4.526388,5.239437,5.110989,7.633489,5.345242,5.397236,6.645791,7.021014,6.332784,6.645945,5.282549,7.299595,6.750896,8.241343,7.243042,6.725348,6.033506,6.305982,6.463675,6.990682,7.758872,5.698662,6.211285,7.11172,5.809761,6.831367,6.103039,7.192918,5.83614,6.330346,7.533371,8.777305,8.326678,8.234552,6.766008,6.838666,6.800561,6.06518,7.113655,6.814934,6.397494,7.307249,5.086312,6.455648,8.263483,4.901708,8.138892,7.092211,8.491403,5.268094,5.98586,7.227797,7.094442,9.118846,8.210814,6.87136,9.083147,7.26845,5.922533,7.302137,7.255029, + 6.110853,6.594817,6.652587,6.673236,4.519201,6.562532,5.764428,5.789565,6.346484,5.954875,6.083291,6.720798,5.131692,4.844667,4.442005,8.153228,5.094601,4.842713,6.65563,6.460168,4.871925,5.354445,4.825947,6.669832,5.653179,4.425592,4.909187,3.80034,5.73359,5.78707,5.526379,5.762281,4.422425,6.96168,5.134947,6.829229,4.693808,6.132937,4.923884,6.443932,5.880627,4.983289,5.164863,6.868328,5.130417,5.131377,6.52802,4.056459,6.504668,6.598689,1.67803,2.893756,1.842329,1.655598,0.3513975,0.5210808,0.6951079,1.228749,0.5318398,1.351484,1.736286,0.1431061,0.7714023,2.09781,0.5448621,1.333709,0.9307247,1.375005,1.057241,1.518283,2.207967,0.6827501,1.880223,2.242843,0.3254031,0.3598897,0.7026696,0.356683,2.001996,1.697376,0.6617291,1.220621,0.5478595,1.155465,2.046916,1.034916,1.172074,2.032088,1.456894,1.683286,1.530172,3.675113,0.04640422,0,0.3269772,2.747861,1.291908,0.3653392,1.52325,1.465422,7.079781,6.925452,6.887957,4.670882,4.12298,6.308947,6.150076,5.753472,5.016297,5.932872,5.174311,7.876532,6.987482,5.516926,5.83629,5.111179,6.130101,6.427784,6.424081,5.693328,5.292526,4.225957,6.979128,7.422115,5.785137,6.152002,6.567688,3.757216,5.880559,6.160183,7.686387,6.420739,6.985382,4.929866,4.78736,5.614791,5.002352,5.189533,8.68811,4.524628,5.263622,5.142027,7.652182,5.352342,5.42227,6.654058,7.047126,6.345546,6.656225,5.303233,7.339869,6.788344,8.282727,7.287232,6.770893,6.076558,6.346686,6.509194,7.035368,7.799483,5.743383,6.254952,7.157055,5.854862,6.871165,6.143505,7.235462,5.882192,6.375566,7.57826,8.822239,8.367317,8.275949,6.810987,6.877537,6.844436,6.109113,7.156161,6.856317,6.440547,7.352448,5.127692,6.499031,8.308898,4.94559,8.179333,7.137382,8.534874,5.314236,6.031024,7.270019,7.138535,9.159627,8.257217,6.914521,9.124143,7.308974,5.965165,7.34714,7.300508, + 6.019614,6.507699,6.543313,6.657112,4.446974,6.452267,5.75778,5.675615,6.312702,5.879784,6.018599,6.680204,5.081704,4.888516,4.376064,8.062983,5.065599,4.730437,6.433644,6.316793,4.802108,5.194768,4.829851,6.679658,5.524774,4.319021,4.7998,3.654164,5.632259,5.787354,5.473441,5.661109,4.440784,6.87072,4.974143,6.785679,4.508114,6.136451,4.900168,6.425754,5.76079,4.860481,5.057564,6.849273,5.012642,5.057511,6.430966,3.966443,6.522712,6.498408,1.381188,3.203577,1.821957,1.899984,0.6670024,0.6640765,0.6757061,0.9080849,0.7165095,1.43188,2.000681,0.1847894,0.5410805,2.28353,0.5229236,1.660663,1.046817,1.050865,0.9887011,1.42798,2.468726,0.7984545,1.920431,2.32604,0.422127,0.5202123,0.6528544,0.5235497,2.326661,2.011895,0.8329841,1.2048,0.8697906,1.458076,2.230775,0.8814856,1.139698,1.894297,1.584111,1.556959,1.608077,3.737469,0.3733483,0.3269772,0,3.02025,1.156738,0.6906829,1.836717,1.258924,7.217527,7.007856,7.050568,4.825507,4.261254,6.404613,6.298675,5.889102,5.253412,6.075136,5.36682,7.927405,7.167418,5.648679,5.926721,5.165511,6.279369,6.587702,6.532859,5.845964,5.438793,4.298893,7.021984,7.58053,5.900464,6.188577,6.721114,3.868711,5.905567,6.34144,7.784102,6.548632,7.21417,5.055401,4.831337,5.772569,5.085781,5.222961,8.798697,4.512514,5.431191,5.357465,7.778494,5.400442,5.595513,6.708195,7.226125,6.431661,6.724496,5.446354,7.631698,7.062499,8.581312,7.602968,7.094287,6.385686,6.641433,6.832457,7.353993,8.093322,6.0623,6.56771,7.479304,6.175896,7.160126,6.436842,7.541342,6.208116,6.697223,7.898008,9.142194,8.661232,8.574614,7.131285,7.160673,7.158352,6.42345,7.461817,7.155143,6.749621,7.673953,5.426973,6.81007,8.631559,5.259804,8.472039,7.458732,8.846235,5.640554,6.352395,7.57393,7.453703,9.45432,8.583821,7.224182,9.420186,7.602368,6.27179,7.667545,7.623539, + 8.470679,8.927546,9.067467,8.688393,6.860073,8.982611,7.770347,8.237663,8.458083,8.256465,8.339021,8.851661,7.360876,6.647261,6.763439,10.46906,7.236534,7.3081,9.369158,8.991461,7.189518,7.946353,6.832643,8.550985,8.150933,6.885464,7.363525,6.387376,8.139387,7.757561,7.752022,8.166822,6.388469,9.30169,7.732759,8.97045,7.353412,8.070695,7.051353,8.477653,8.346501,7.477849,7.605473,8.891219,7.605836,7.454499,8.900342,6.477549,8.348454,8.981643,4.39873,0.7876311,2.527067,1.151878,2.570413,3.004279,3.326401,3.891353,2.324522,3.583953,1.02123,2.87202,3.519251,3.583217,3.218019,1.816662,2.161666,4.007665,2.686134,2.815551,3.04806,3.118926,2.187674,1.92097,2.986047,2.929252,3.363031,2.919549,1.360509,1.251369,2.233558,2.492373,2.252385,2.401389,3.564417,2.951488,2.55768,3.234965,3.491795,4.319211,3.711949,5.495767,2.709112,2.747861,3.02025,0,2.949355,2.429806,1.369464,4.197981,4.926575,5.187546,4.577023,2.593148,2.291314,4.516465,3.9726,3.701914,2.347942,3.816823,2.755848,6.321014,4.565693,3.51778,4.130573,3.80128,3.949158,4.155549,4.521414,3.519542,3.203779,2.942224,5.547843,5.118142,3.887348,4.848955,4.332307,2.273433,4.704657,3.761035,5.787956,4.375337,4.321712,3.053558,3.623762,3.409512,3.466109,4.042255,6.656988,3.88961,3.015781,2.580465,5.552097,4.056472,3.120171,5.159585,4.629064,4.624567,5.049237,3.237838,6.556768,6.354656,7.304226,5.946166,5.165506,5.029262,5.594831,4.930711,5.615122,6.945384,4.431127,5.089254,5.581891,4.444076,6.179632,5.441062,6.164329,4.176399,4.886301,6.081126,7.25617,7.476962,7.296195,5.343878,6.288619,5.59174,4.911466,6.096342,5.973051,5.357363,5.798196,4.43998,5.358065,6.652801,3.908731,7.32306,5.603515,7.247089,3.62649,4.586933,6.242194,5.825536,8.213594,6.125294,5.774285,8.153424,6.498302,4.993887,5.838641,5.678832, + 7.027884,7.520139,7.516031,7.761918,5.495635,7.42365,6.873436,6.645433,7.399923,6.914596,7.067859,7.758352,6.155035,6.03699,5.433821,9.063388,6.162534,5.712146,7.100121,7.219077,5.851346,6.069306,5.956355,7.806611,6.466986,5.315526,5.786037,4.584884,6.625683,6.908663,6.541078,6.654604,5.577757,7.874865,5.848805,7.859898,5.32403,7.259562,6.003073,7.529108,6.718407,5.820777,6.045064,7.950739,5.981101,6.099194,7.426795,4.994026,7.655634,7.488091,1.953283,3.397376,0.8166753,1.836245,1.584411,1.788995,1.829479,1.418769,1.051945,2.587458,2.01701,1.235079,1.556563,3.389712,1.679135,2.279054,0.8786854,1.442045,0.3144464,0.3181503,3.454327,1.939079,1.070754,1.545863,1.553541,1.629526,1.800546,1.62929,2.787468,2.367321,1.019543,0.4575029,1.555037,2.343076,3.338763,0.2769006,0.39313,0.7424205,2.728003,2.594293,2.764278,4.892301,1.314965,1.291908,1.156738,2.949355,0,1.475259,2.208218,2.182275,6.425279,6.072095,6.338694,4.127367,3.526398,5.506035,5.551101,5.107514,4.877648,5.310991,4.792715,6.920406,6.514339,4.859402,5.0206,4.186553,5.534209,5.872839,5.666545,5.118684,4.698553,3.377524,6.004659,6.848963,5.059803,5.165042,5.983199,3.065106,4.863761,5.70497,6.878873,5.734948,6.759701,4.25906,3.835465,5.063638,4.174459,4.201911,7.9193,3.424477,4.762799,4.878612,6.948106,4.405854,4.943765,5.714292,6.568942,5.509587,5.759595,4.69592,8.469362,7.977807,9.378596,8.273895,7.664109,7.123859,7.468641,7.407208,7.994068,8.918868,6.709986,7.274493,8.066708,6.794174,8.013673,7.272445,8.296156,6.722387,7.300909,8.519905,9.754141,9.484403,9.371452,7.751234,8.040274,7.85022,7.1169,8.21863,7.957121,7.485578,8.272006,6.237529,7.529842,9.203929,5.966049,9.30218,8.060769,9.551939,6.146502,6.963843,8.342109,8.131387,10.2709,8.94473,7.952453,10.22938,8.432152,7.029288,8.28196,8.195963, + 6.277171,6.755705,6.835775,6.759356,4.672228,6.746913,5.843148,5.979567,6.452432,6.105162,6.222465,6.832957,5.25897,4.871695,4.589047,8.314304,5.199986,5.034247,6.945977,6.677456,5.020797,5.589936,4.897294,6.727695,5.857798,4.613366,5.097615,4.029179,5.911171,5.858177,5.655172,5.939616,4.480267,7.125663,5.372108,6.944245,4.955217,6.199333,5.024453,6.532903,6.076204,5.184586,5.350263,6.957097,5.326267,5.283277,6.699172,4.22992,6.553938,6.772941,2.033855,2.537187,1.883089,1.383188,0.1794275,0.6221805,0.9116022,1.593951,0.4792477,1.401762,1.436382,0.5083034,1.107542,1.982995,0.7908449,0.9722357,0.8789644,1.740271,1.19406,1.646327,1.979475,0.772007,1.851908,2.154192,0.556642,0.5107364,0.9409813,0.501685,1.636676,1.338309,0.5866061,1.289911,0.1863933,0.8722452,1.935973,1.250878,1.262637,2.191373,1.444221,1.920238,1.573079,3.689316,0.319186,0.3653392,0.6906829,2.429806,1.475259,0,1.165646,1.768332,6.89534,6.802008,6.676923,4.474892,3.948058,6.172469,5.95586,5.574567,4.72924,5.746163,4.934827,7.785848,6.757631,5.343045,5.707049,5.024968,5.935205,6.220592,6.272837,5.495922,5.103391,4.123852,6.899305,7.214676,5.628519,6.081524,6.367244,3.615031,5.823896,5.930464,7.544499,6.248507,6.703992,4.7651,4.71434,5.411976,4.884178,5.126296,8.53054,4.515846,5.051137,4.877816,7.479125,5.27201,5.203089,6.562573,6.818183,6.219516,6.549076,5.117531,7.044735,6.519891,7.976647,6.953147,6.421585,5.754663,6.047898,6.160243,6.69596,7.500974,5.403867,5.926643,6.810244,5.510989,6.580758,5.847109,6.918303,5.52624,6.030213,7.236517,8.479848,8.06836,7.969749,6.46834,6.59584,6.51379,5.778058,6.839411,6.550717,6.11851,7.007188,4.823065,6.173596,7.961,4.615528,7.882315,6.79249,8.208062,4.956949,5.686382,6.956044,6.805528,8.859106,7.893389,6.59123,8.821584,7.011476,5.647583,7.00414,6.951941, + 7.111463,7.572453,7.703642,7.389717,5.499037,7.618241,6.468265,6.870519,7.138016,6.903892,6.99323,7.529496,6.015465,5.381518,5.404041,9.119073,5.904556,5.939392,8.032438,7.621997,5.831905,6.579903,5.523252,7.283177,6.781719,5.516634,5.995283,5.022672,6.775147,6.463157,6.408769,6.802727,5.083065,7.946374,6.367102,7.646731,5.998994,6.785962,5.720774,7.173789,6.978493,6.108506,6.238137,7.59185,6.236983,6.097049,7.540502,5.109811,7.088659,7.620792,3.199196,1.371543,2.187547,0.7550049,1.2706,1.673992,2.0066,2.744479,1.25823,2.214509,0.627422,1.662833,2.270575,2.302947,1.917399,0.47156,1.332827,2.883461,1.895384,2.222049,1.900117,1.773088,1.965943,2.011265,1.698468,1.623964,2.050481,1.613982,0.5814636,0.1758841,1.227797,1.819721,0.9792767,1.046706,2.276021,2.09108,1.848034,2.762133,2.128068,2.975362,2.344089,4.208576,1.478672,1.52325,1.836717,1.369464,2.208218,1.165646,0,2.903124,6.167234,6.265951,5.86993,3.759572,3.324234,5.606492,5.211265,4.885732,3.717248,5.029038,4.066351,7.338312,5.892882,4.675532,5.174273,4.650662,5.188828,5.431392,5.658131,4.74978,4.39255,3.735046,6.49966,6.41263,5.009776,5.72817,5.596832,3.120956,5.521078,5.075949,6.939951,5.568014,5.690992,4.143215,4.394217,4.650338,4.410773,4.822842,7.867154,4.411047,4.266339,3.932951,6.779006,4.908695,4.393665,6.132057,5.955531,5.685835,6.069047,4.417432,6.36728,5.971535,7.237491,6.077133,5.455979,4.959812,5.367069,5.19899,5.791029,6.802458,4.511751,5.093904,5.858544,4.589723,5.93171,5.181419,6.133934,4.518317,5.093977,6.313654,7.546437,7.362332,7.230071,5.545527,5.986849,5.661204,4.931645,6.057986,5.82899,5.31779,6.064114,4.138611,5.353706,6.996106,3.795145,7.187069,5.853174,7.362811,3.942657,4.758145,6.187558,5.936888,8.139507,6.800763,5.778134,8.092692,6.323226,4.877679,6.075158,5.987881, + 4.845678,5.337873,5.340247,5.631685,3.323462,5.248189,4.767346,4.469679,5.249153,4.734788,4.892261,5.598233,3.996349,4.063524,3.267082,6.882342,4.029812,3.532349,5.190285,5.076863,3.678294,3.944741,3.886224,5.720435,4.301525,3.133465,3.605491,2.420469,4.444645,4.81477,4.376533,4.473572,3.550739,5.693081,3.723761,5.696524,3.249318,5.167321,3.880718,5.39774,4.546881,3.646976,3.864533,5.814945,3.804928,3.922452,5.245818,2.815319,5.587937,5.308156,0.6692794,4.259333,2.965213,3.120999,1.6365,1.241248,0.9051188,0.86268,1.964643,1.237177,3.196466,1.360326,0.7178444,2.234005,0.9863255,2.58736,2.304231,0.9540097,2.135889,2.497122,2.748578,1.182667,3.125152,3.557278,1.213131,1.279577,0.8554634,1.289535,3.279953,3.06687,2.086817,2.387347,1.948053,2.1434,2.183322,1.926546,2.310826,2.822891,1.49205,0.4968997,1.319563,3.023935,1.499493,1.465422,1.258924,4.197981,2.182275,1.768332,2.903124,0,8.467256,8.216043,8.308372,6.082396,5.513773,7.626694,7.553209,7.138807,6.481579,7.327522,6.623398,9.09589,8.426215,6.89677,7.145182,6.348639,7.534127,7.845101,7.765443,7.101901,6.69304,5.506815,8.182267,8.837393,7.138675,7.343479,7.976937,5.108945,7.045113,7.600094,9.005705,7.793793,8.450666,6.301044,6.003659,7.029756,6.300279,6.378788,10.03008,5.60403,6.689858,6.603999,9.021705,6.574676,6.854432,7.88462,8.484974,7.644844,7.918009,6.699504,7.892226,7.202152,8.88685,8.098053,7.716924,6.822185,6.941556,7.455452,7.891537,8.364073,6.622456,7.040817,8.074885,6.76694,7.405196,6.729328,7.927315,6.909023,7.291376,8.446525,9.682913,8.925962,8.880928,7.697084,7.361898,7.636402,6.917446,7.846648,7.481251,7.179507,8.253912,5.791435,7.260074,9.224323,5.775164,8.728944,8.038292,9.275613,6.36535,6.946421,7.94038,7.943362,9.717562,9.383928,7.653237,9.695214,7.875991,6.685008,8.228958,8.232906, + 13.17241,13.64989,13.72808,13.55473,11.56551,13.63863,12.63282,12.86777,13.29074,12.99559,13.10504,13.67937,12.13359,11.54513,11.48014,15.20794,12.04731,11.92106,13.52528,13.53329,11.91201,12.41116,11.68594,13.44844,12.73254,11.50238,11.98649,10.87047,12.80523,12.62964,12.52968,12.83376,11.24784,14.02044,12.19032,13.79469,11.70602,12.9532,11.866,13.33708,12.96015,12.06307,12.24097,13.75652,12.20983,12.17545,13.59446,11.12433,13.25148,13.66792,8.369415,5.509877,5.611501,5.566046,7.071976,7.515988,7.770642,7.823629,6.548678,8.264254,5.591687,7.14938,7.754393,8.46614,7.624248,6.638752,6.172795,7.863974,6.371331,6.118539,7.971947,7.667196,5.376035,4.920171,7.395458,7.387215,7.782257,7.379554,6.284932,6.101335,6.41947,6.108983,6.768661,7.201897,8.441262,6.624081,6.190283,6.074295,8.237713,8.759332,8.421061,10.37561,7.059537,7.079781,7.217527,4.926575,6.425279,6.89534,6.167234,8.467256,0,1.282076,0.6304352,2.424641,2.957637,1.220828,0.9567419,1.328513,3.032584,1.149314,2.22535,2.219132,1.053268,1.571431,1.615463,2.581558,0.979606,0.8251252,0.9344545,1.417461,1.792476,3.110323,2.143166,0.627738,1.391817,2.34788,0.6250188,3.367746,2.632006,1.358893,1.138884,0.7010459,2.411864,2.170425,2.923333,1.519891,2.357283,2.801855,1.745903,3.739398,1.911322,2.573654,0.6339045,2.508224,1.813996,1.90823,1.030869,1.367106,1.615691,1.777948,10.51813,10.62891,10.97008,9.39641,8.432561,8.985449,9.717248,8.297704,9.03092,10.78834,8.253811,8.915296,8.790141,8.153981,10.27141,9.626346,9.893215,7.590266,8.384227,9.29267,10.13998,11.21727,10.96168,8.758725,10.45152,9.219689,8.74201,9.848517,9.922169,9.215142,8.987491,8.796335,9.155963,9.500649,8.116309,11.11738,8.866458,10.54302,7.256886,8.219446,10.00509,9.334743,11.80851,8.131397,9.49476,11.72654,10.44148,9.02728,9.085232,8.794441, + 13.02678,13.51384,13.54848,13.5562,11.44372,13.45705,12.63708,12.67928,13.25443,12.8792,13.00868,13.63441,12.0539,11.61235,11.36739,15.07028,12.00192,11.73594,13.10278,13.28559,11.79701,12.13968,11.68872,13.49954,12.51746,11.32639,11.80622,10.63629,12.63995,12.64659,12.44936,12.66881,11.2628,13.878,11.91892,13.74511,11.39523,12.98254,11.82642,13.33134,12.76055,11.85991,12.06438,13.75506,12.0151,12.05575,13.43882,10.97248,13.31506,13.50608,8.019775,5.877013,5.262078,5.580197,6.98143,7.404964,7.619179,7.490806,6.398575,8.202269,5.650128,6.971397,7.52533,8.553205,7.465192,6.726943,5.995181,7.505444,6.080564,5.754639,8.148032,7.564459,5.093733,4.68591,7.250124,7.261181,7.620231,7.254751,6.495651,6.234899,6.268954,5.829263,6.703223,7.251651,8.521407,6.304482,5.90525,5.597389,8.215412,8.564443,8.370428,10.42755,6.913113,6.925452,7.007856,5.187546,6.072095,6.802008,6.265951,8.216043,1.282076,0,1.846116,2.605112,2.944045,0.6714442,1.60783,1.58831,3.761849,1.586998,2.823889,1.187167,2.29517,1.705664,1.097638,1.902895,1.628257,1.780916,0.7480381,1.888706,2.047369,2.71025,0.8613139,1.887091,1.31076,1.228025,1.618423,3.191465,1.56641,2.300246,0.8478545,1.099185,3.619777,2.138463,2.266779,2.015831,1.923368,1.985306,1.911508,2.942754,2.365014,3.271128,1.280828,1.720477,2.374271,0.6673035,2.284518,0.5834969,0.4102906,2.000716,11.2509,11.26652,11.78492,10.23602,9.289003,9.695898,10.39265,9.130259,9.87058,11.55646,8.982537,9.65808,9.666921,8.907212,10.96344,10.28117,10.67761,8.391925,9.191258,10.17952,11.10308,12.01682,11.7765,9.592606,11.12387,10.01621,9.480061,10.62648,10.65019,9.955672,9.87239,9.382573,9.910508,10.45904,8.73767,11.90207,9.734088,11.43408,7.99994,8.992283,10.78284,10.16031,12.64985,9.190478,10.27452,12.57209,11.1783,9.717382,9.960881,9.689292, + 12.93952,13.41111,13.50925,13.25451,11.32745,13.421,12.33416,12.65583,13.00794,12.74982,12.84979,13.3993,11.87409,11.2229,11.23829,14.96577,11.77268,11.71101,13.42542,13.34723,11.66945,12.24034,11.39128,13.127,12.53359,11.28977,11.77391,10.68829,12.58266,12.32543,12.26906,12.61093,10.94954,13.78353,12.0203,13.51634,11.55712,12.64259,11.58945,13.04064,12.75311,11.86095,12.02569,13.45702,12.00319,11.93405,13.36489,10.9021,12.92524,13.441,8.259597,5.104244,5.536582,5.316999,6.850199,7.299048,7.570226,7.710394,6.361488,8.017812,5.32168,6.968016,7.591157,8.151229,7.428845,6.340144,6.004195,7.763117,6.254675,6.041962,7.6221,7.444897,5.272648,4.803647,7.195897,7.178641,7.586727,7.170481,5.936373,5.789277,6.234265,5.990931,6.538751,6.91435,8.129565,6.518052,6.073552,6.055476,7.973356,8.571148,8.168173,10.06496,6.864198,6.887957,7.050568,4.577023,6.338694,6.676923,5.86993,8.308372,0.6304352,1.846116,0,2.227555,2.814863,1.606384,0.8112319,1.291289,2.523971,1.067357,1.822934,2.84558,0.4501339,1.535613,1.881162,2.789986,0.8234001,0.4660031,1.312181,1.220064,1.641106,3.147721,2.700491,0.5427092,1.519927,2.776993,0.3914561,3.28014,3.020034,0.8439592,1.765166,0.9328013,1.789893,2.113067,3.096788,1.280369,2.473219,3.059437,2.240597,3.943153,1.625831,2.09747,1.175109,2.772617,1.479499,2.421226,0.4470887,1.787164,2.127687,1.647443,9.953806,10.09297,10.38321,8.805519,7.839119,8.430878,9.171569,7.710484,8.440584,10.2138,7.695742,8.351324,8.191324,7.588927,9.719455,9.087323,9.315697,7.012978,7.803517,8.690923,9.522751,10.63395,10.37483,8.170294,9.905162,8.640109,8.179842,9.272802,9.360301,8.651133,8.386564,8.282397,8.588067,8.884637,7.593035,10.53801,8.269647,9.939056,6.697778,7.648565,9.429166,8.747436,11.21443,7.503078,8.919184,11.13155,9.876144,8.478807,8.48626,8.191569, + 10.7506,11.227,11.31031,11.13784,9.142418,11.22125,10.21578,10.4523,10.86872,10.57163,10.68044,11.25672,9.708967,9.140994,9.056475,12.78468,9.624032,9.50607,11.20121,11.13075,9.488313,10.0183,9.267949,11.04196,10.32278,9.086256,9.57053,8.469516,10.38605,10.21486,10.10508,10.4145,8.831497,11.59794,9.797981,11.37169,9.330501,10.54118,9.443088,10.91891,10.54671,9.651582,9.824074,11.33927,9.796355,9.751947,11.17351,8.704811,10.84816,11.24767,6.035612,3.271957,3.337186,3.141847,4.650722,5.096453,5.357878,5.48608,4.141957,5.839707,3.172345,4.746897,5.365644,6.062448,5.213878,4.230004,3.778742,5.542218,4.031307,3.838002,5.601567,5.246188,3.057403,2.584652,4.982805,4.970579,5.371943,4.962715,3.926235,3.704999,4.013836,3.767647,4.345433,4.785838,6.035514,4.297534,3.85049,3.903258,5.814007,6.353745,5.996434,7.965976,4.648717,4.670882,4.825507,2.593148,4.127367,4.474892,3.759572,6.082396,2.424641,2.605112,2.227555,0,0.6097664,1.934172,1.481028,1.126313,1.613816,1.276538,0.8611435,3.762573,2.387787,0.9260815,1.593677,1.648114,1.460516,1.763123,1.928373,1.022476,0.6345801,1.294929,3.060111,2.755051,1.297117,2.492766,1.896975,1.119613,2.466701,1.589641,3.199548,1.808482,2.864079,0.538228,1.701072,0.9475673,1.182859,1.981193,4.107602,2.435417,0.6417813,1.235924,3.024256,1.844417,0.8321064,2.661784,2.441841,2.058242,2.507601,0.6578707,8.762485,8.715203,9.368845,7.864413,6.953415,7.202005,7.868107,6.766763,7.504081,9.096128,6.51154,7.191755,7.352385,6.459847,8.446526,7.744374,8.24014,6.004963,6.796312,7.870755,8.900181,9.583105,9.360484,7.223159,8.593157,7.598329,7.011465,8.183179,8.162286,7.484307,7.565799,6.815086,7.452184,8.258493,6.191878,9.454668,7.405844,9.114379,5.557279,6.56326,8.337885,7.772973,10.25608,7.231801,7.836501,10.18376,8.69367,7.207905,7.639915,7.400292, + 10.22332,10.70319,10.77383,10.66018,8.620201,10.68409,9.738672,9.912137,10.37729,10.05315,10.1685,10.76255,9.201427,8.688358,8.537035,12.26196,9.128305,8.965309,10.61098,10.57592,8.968816,9.455874,8.789684,10.5831,9.775133,8.547349,9.03127,7.913165,9.852445,9.742555,9.597789,9.881036,8.357654,11.07262,9.23517,10.87602,8.757812,10.07375,8.949255,10.43849,10.00361,9.106027,9.28631,10.86064,9.253389,9.231332,10.64378,8.172379,10.39419,10.71621,5.445358,3.035345,2.731256,2.657207,4.126004,4.566327,4.814942,4.896416,3.591572,5.331092,2.713495,4.191743,4.799257,5.618815,4.667673,3.78802,3.21567,4.948254,3.44049,3.233784,5.20412,4.719836,2.45842,1.98879,4.439901,4.434353,4.825609,4.426886,3.559676,3.290858,3.462209,3.176781,3.829196,4.323908,5.588601,3.703191,3.259274,3.293629,5.321274,5.801728,5.492711,7.506737,4.103372,4.12298,4.261254,2.291314,3.526398,3.948058,3.324234,5.513773,2.957637,2.944045,2.814863,0.6097664,0,2.282335,2.041007,1.630499,1.968401,1.813939,1.408323,4.044795,2.993806,1.39537,1.859726,1.566317,2.022483,2.348876,2.343005,1.596551,1.181147,0.8957953,3.256638,3.33294,1.693895,2.572368,2.4684,0.5191254,2.462574,2.199374,3.624455,2.300656,3.439995,0.8242872,1.484172,1.537377,1.182961,1.855968,4.586337,2.068287,1.251542,1.692928,3.531773,1.809137,1.441318,2.869505,3.046934,2.366827,2.770626,1.185813,8.690341,8.576872,9.350531,7.885444,7.004968,7.13442,7.76541,6.802759,7.531287,9.04604,6.470383,7.148732,7.412595,6.438926,8.348761,7.6286,8.212702,6.033985,6.811025,7.929799,9.006751,9.55105,9.342249,7.250914,8.479957,7.589856,6.967967,8.151656,8.093882,7.434805,7.628663,6.663409,7.413803,8.370981,6.075691,9.41295,7.457514,9.158412,5.550647,6.55562,8.304113,7.784379,10.24869,7.455585,7.811345,10.18026,8.625238,7.125127,7.693831,7.474552, + 12.41775,12.90302,12.9479,12.9184,10.82789,12.85688,11.9982,12.08014,12.62307,12.26353,12.38887,13.0049,11.42989,10.96319,10.74953,14.4609,11.37126,11.13504,12.57419,12.70239,11.18007,11.56199,11.04936,12.85388,11.92489,10.72283,11.20421,10.04658,12.03516,12.00566,11.82582,12.06397,10.6211,13.2689,11.34098,13.11654,10.82818,12.33987,11.19453,12.69462,12.16425,11.26362,11.46175,13.11788,11.41686,11.44008,12.83244,10.36283,12.6675,12.9012,7.458881,5.206124,4.690886,4.929211,6.351828,6.780484,7.003845,6.923253,5.779517,7.569924,4.993707,6.360413,6.928446,7.898602,6.851188,6.069498,5.380843,6.946041,5.495707,5.190595,7.483982,6.938672,4.501675,4.078609,6.632518,6.639458,7.007281,6.632754,5.82759,5.57203,5.649548,5.240209,6.068193,6.599851,7.867614,5.728978,5.318022,5.072644,7.576101,7.961325,7.736308,9.779551,6.29483,6.308947,6.404613,4.516465,5.506035,6.172469,5.606492,7.626694,1.220828,0.6714442,1.606384,1.934172,2.282335,0,1.106345,0.9587091,3.152659,1.009274,2.202779,1.838894,2.041889,1.0447,0.4862711,1.42715,1.121381,1.382712,0.2970045,1.283628,1.389353,2.128526,1.27686,1.83925,0.6436164,1.170824,1.275445,2.557453,1.423673,1.82866,1.379574,0.6855302,3.266584,1.470169,1.788078,1.406981,1.331576,1.604004,2.41391,2.560494,1.72813,2.662982,1.527627,1.312251,1.760624,0.910181,2.049733,0.1963811,0.655679,1.340163,10.61076,10.61106,11.16231,9.62221,8.681892,9.05349,9.743438,8.516659,9.257444,10.92319,8.34474,9.021988,9.065195,8.274626,10.31632,9.628955,10.04908,7.771864,8.570748,9.579959,10.52935,11.3902,11.15391,8.978403,10.47347,9.39156,8.843288,9.996546,10.00982,9.318674,9.272812,8.722569,9.276478,9.884656,8.082622,11.27211,9.12939,10.83375,7.367143,8.363895,10.15265,9.542808,12.03321,8.667251,9.645498,11.95668,10.53902,9.071366,9.358198,9.093351, + 12.23105,12.7069,12.79133,12.59964,10.62226,12.70227,11.67782,11.93321,12.33791,12.05056,12.15764,12.72704,11.18503,10.58848,10.53582,14.26427,11.09568,10.98692,12.64622,12.60896,10.9676,11.49323,10.73129,12.49187,11.80278,10.56721,11.05147,9.946978,11.86703,11.67409,11.58095,11.89548,10.29273,13.07806,11.2727,12.84266,10.79851,11.99717,10.914,12.38239,12.02739,11.1319,11.30508,12.80153,11.27702,11.23142,12.65421,10.18578,12.29478,12.7285,7.482118,4.569779,4.744304,4.616919,6.131564,6.577469,6.838156,6.933884,5.620331,7.317596,4.638588,6.224051,6.837742,7.509574,6.693578,5.682814,5.252081,6.98185,5.478176,5.250814,7.01645,6.727045,4.489611,4.024899,6.463013,6.451465,6.851654,6.443622,5.329869,5.144654,5.4918,5.214684,5.825544,6.247187,7.484824,5.737636,5.296867,5.250463,7.287038,7.83231,7.472921,9.419397,6.128431,6.150076,6.298675,3.9726,5.551101,5.95586,5.211265,7.553209,0.9567419,1.60783,0.8112319,1.481028,2.041007,1.106345,0,0.4825407,2.198995,0.2570598,1.313315,2.769889,1.126851,0.7244819,1.2069,2.031995,0.02428155,0.3778487,0.879096,0.4624369,0.8602304,2.336761,2.366582,1.298189,0.7718459,2.217601,0.4335548,2.486689,2.400945,0.7223405,1.908946,0.5146908,2.190394,1.306092,2.317021,0.5635468,1.680239,2.32549,2.687244,3.168263,0.956962,1.715301,1.579568,2.050456,0.8771362,2.014438,1.16,1.302433,1.745554,0.8567217,9.714598,9.780066,10.21488,8.656004,7.702788,8.168191,8.88404,7.551183,8.290145,10.00466,7.444781,8.114997,8.075572,7.358198,9.446878,8.783612,9.118097,6.822404,7.62109,8.586126,9.497126,10.4527,10.20646,8.013703,9.617897,8.451122,7.938851,9.069522,9.115386,8.414071,8.279204,7.924082,8.362557,8.853354,7.256512,10.34373,8.145227,9.84059,6.453558,7.435086,9.226157,8.584859,11.07134,7.58874,8.716389,10.99216,9.640026,8.199988,8.370106,8.093618, + 11.85139,12.33026,12.40383,12.26069,10.24649,12.31418,11.33864,11.54249,11.9878,11.67824,11.79077,12.37491,10.82138,10.26701,10.16229,13.88879,10.74143,10.59568,12.20698,12.20513,10.59416,11.08265,10.39043,12.16764,11.40551,10.17754,10.66152,9.542298,11.48195,11.33867,11.21768,11.51051,9.954837,12.70019,10.86181,12.48936,10.37844,11.66582,10.56114,12.0411,11.6341,10.73651,10.91641,12.46192,10.88387,10.85713,12.27251,9.801511,11.97418,12.34534,7.046963,4.347525,4.296516,4.25943,5.751889,6.194149,6.445233,6.500179,5.222069,6.950564,4.295812,5.821829,6.425882,7.188654,6.298145,5.355993,4.844631,6.543378,5.046361,4.803648,6.724659,6.346572,4.052757,3.593995,6.07014,6.063599,6.456091,6.05605,5.045567,4.831019,5.09269,4.78359,5.451452,5.910086,7.161581,5.301405,4.865171,4.785923,6.931402,7.431931,7.109618,9.091356,5.733759,5.753472,5.889102,3.701914,5.107514,5.574567,4.885732,7.138807,1.328513,1.58831,1.291289,1.126313,1.630499,0.9587091,0.4825407,0,2.194112,0.2257329,1.244329,2.775141,1.602015,0.2497984,0.8643769,1.577774,0.4739828,0.8568648,0.853155,0.3397423,0.4983264,1.857143,2.223173,1.757762,0.3927784,1.915837,0.9057033,2.044167,2.04746,1.054603,2.087891,0.6823418,2.56288,0.8486225,1.846119,0.4546681,1.203431,1.886138,2.981709,2.697978,0.7767105,1.704817,1.905956,1.623906,0.8027483,1.838983,1.638116,1.134224,1.608981,0.4685722,9.66318,9.681537,10.20593,8.663986,7.723191,8.107744,8.804818,7.558362,8.299128,9.971132,7.395336,8.071487,8.106598,7.322029,9.37523,8.694363,9.094698,6.814602,7.613657,8.621485,9.576031,10.43514,10.19752,8.0202,9.53633,8.435696,7.893218,9.042774,9.062404,8.368781,8.31435,7.802691,8.32475,8.931275,7.152768,10.31843,8.170689,9.875181,6.414572,7.40933,9.199008,8.585144,11.0755,7.739316,8.691299,10.99876,9.590789,8.129102,8.399549,8.135263, + 10.81067,11.26334,11.41152,10.96523,9.202384,11.32716,10.05403,10.58455,10.75842,10.59023,10.66603,11.15334,9.688708,8.900406,9.104434,12.79866,9.551735,9.655938,11.67106,11.33905,9.528717,10.28858,9.127274,10.79472,10.49887,9.233348,9.711145,8.727892,10.48398,10.03335,10.07725,10.51129,8.681265,11.6375,10.07393,11.27355,9.680547,10.33497,9.365643,10.76076,10.69396,9.825746,9.952531,11.16815,9.953721,9.793387,11.24075,8.824931,10.58448,11.32298,6.598332,2.693417,4.202598,3.360785,4.882859,5.326716,5.638819,6.062761,4.53725,5.931738,3.293043,5.126885,5.779464,5.880141,5.51936,4.161662,4.272087,6.155982,4.689699,4.645898,5.279343,5.449992,3.862507,3.412384,5.283485,5.238051,5.670173,5.228667,3.63631,3.596665,4.425762,4.444331,4.561269,4.745756,5.866673,4.970621,4.524195,4.879339,5.837815,6.642686,6.059621,7.777566,4.982168,5.016297,5.253412,2.347942,4.877648,4.72924,3.717248,6.481579,3.032584,3.761849,2.523971,1.613816,1.968401,3.152659,2.198995,2.194112,0,2.175378,0.9538124,4.945262,2.38011,2.156077,2.979108,3.252426,2.175563,2.207901,3.013889,1.87497,1.829227,2.840933,4.411811,3.028028,2.548526,3.992315,2.409292,2.423947,4.023192,1.686755,4.097232,2.706567,1.977454,2.101782,3.313204,1.748861,2.781134,3.589282,4.755031,4.012245,1.44271,0.4908249,3.657235,3.43147,1.392361,4.021479,2.44369,3.326879,3.802128,1.886943,7.515786,7.598114,8.024385,6.474413,5.530152,5.971022,6.692541,5.368621,6.109093,7.806651,5.246129,5.916002,5.912538,5.159441,7.252094,6.597275,6.922055,4.631028,5.43033,6.427375,7.393219,8.258825,8.015972,5.830896,7.426809,6.2574,5.739893,6.87263,6.916773,6.215085,6.120243,5.765667,6.163809,6.748643,5.083732,8.147476,5.977047,7.68109,4.254569,5.237924,7.029212,6.398516,8.888006,5.637465,6.519796,8.810329,7.441101,6.005784,6.205593,5.941536, + 12.02317,12.50057,12.57954,12.41243,10.41619,12.49017,11.4904,11.71974,12.145,11.84636,11.95621,12.53313,10.98514,10.40995,10.33087,14.05863,10.90054,10.77311,12.40871,12.38897,10.76274,11.2698,10.5429,12.31217,11.58602,10.35415,10.83832,9.72637,11.65639,11.48859,11.38129,11.68489,10.10579,12.87114,11.04911,12.64817,10.57034,11.81378,10.71954,12.19397,11.81263,10.91603,11.09259,12.614,11.06228,11.02616,12.44533,9.975391,12.11691,12.51889,7.246296,4.439384,4.502073,4.418375,5.922726,6.36695,6.622939,6.698701,5.402158,7.115387,4.44736,6.004101,6.613188,7.330671,6.477086,5.500208,5.029298,6.744374,5.243669,5.008966,6.852193,6.51798,4.252461,3.790401,6.247731,6.238658,6.635133,6.230959,5.168533,4.968365,5.27317,4.980464,5.619372,6.059667,7.304736,5.501062,5.062377,5.000577,7.090539,7.613584,7.272619,9.237324,5.912174,5.932872,6.075136,3.816823,5.310991,5.746163,5.029038,7.327522,1.149314,1.586998,1.067357,1.276538,1.813939,1.009274,0.2570598,0.2257329,2.175378,0,1.246431,2.769996,1.377929,0.4685376,1.015861,1.79093,0.2482865,0.6314504,0.838992,0.3141827,0.6432351,2.080366,2.286098,1.543495,0.5548626,2.054413,0.6846696,2.245911,2.211961,0.8766975,1.998921,0.5673238,2.378926,1.057308,2.067323,0.4402835,1.427083,2.092409,2.843778,2.919105,0.8242881,1.684907,1.750053,1.823505,0.7953289,1.915142,1.413208,1.199002,1.664298,0.6296398,9.67652,9.717124,10.19949,8.649126,7.702125,8.124773,8.830986,7.543387,8.283653,9.976152,7.406842,8.080522,8.080759,7.327248,9.398016,8.725233,9.094687,6.806216,7.605544,8.593842,9.528507,10.4328,10.19108,8.005765,9.56385,8.431698,7.903173,9.044316,9.076285,8.37878,8.286682,7.848452,8.331211,8.883992,7.189826,10.31968,8.14747,9.848321,6.420562,7.409703,9.200792,8.573851,11.06315,7.658117,8.691934,10.98526,9.603081,8.151067,8.374572,8.104495, + 11.16295,11.62962,11.74304,11.44012,9.54944,11.6559,10.52074,10.89683,11.20073,10.96419,11.05779,11.59312,10.0805,9.403024,9.457588,13.18039,9.970461,9.955554,11.79258,11.61116,9.887539,10.52282,9.579945,11.30682,10.78667,9.532949,10.01606,8.963284,10.81477,10.51008,10.47434,10.84278,9.137056,12.00298,10.30428,11.71092,9.867103,10.82516,9.786391,11.22771,10.99829,10.11249,10.26495,11.64281,10.2502,10.15258,11.59031,9.137722,11.1042,11.66837,6.644217,3.29203,4.035978,3.556358,5.103167,5.55382,5.840863,6.096148,4.659547,6.241648,3.541229,5.266484,5.906717,6.33501,5.706208,4.53419,4.332803,6.167649,4.658767,4.52199,5.799318,5.693304,3.727531,3.252841,5.470365,5.443173,5.862742,5.434532,4.114154,3.978173,4.536586,4.398625,4.785798,5.112929,6.314474,4.934426,4.481535,4.649552,6.183769,6.849044,6.386389,8.248668,5.146561,5.174311,5.36682,2.755848,4.792715,4.934827,4.066351,6.623398,2.22535,2.823889,1.822934,0.8611435,1.408323,2.202779,1.313315,1.244329,0.9538124,1.246431,0,4.010449,1.829767,1.203949,2.028975,2.389353,1.28907,1.418557,2.078068,0.9365733,0.8854006,2.154916,3.458219,2.362877,1.594718,3.053416,1.607606,1.925839,3.105523,1.009632,3.220672,1.799507,2.034112,1.236645,2.507555,0.8090685,1.917817,2.729874,3.971205,3.280354,0.4913042,0.4726073,2.85924,2.542417,0.4511928,3.067666,1.891743,2.3746,2.849899,0.9436816,8.430701,8.474171,8.962844,7.419662,6.479385,6.878426,7.58516,6.314033,7.0548,8.732866,6.161267,6.835652,6.863898,6.083655,8.151707,7.480618,7.8538,5.57086,6.370029,7.379299,8.346121,9.193379,8.954434,6.77588,8.318243,7.193219,6.658024,7.80259,7.830345,7.133655,7.072224,6.612356,7.087232,7.701468,5.948264,9.078191,6.927276,8.632572,5.176547,6.168445,7.958954,7.341058,9.831359,6.560933,7.450659,9.754526,8.357468,6.904728,7.156556,6.89443, + 13.93602,14.42661,14.43527,14.54284,12.37423,14.34302,13.62835,13.56459,14.22294,13.80586,13.94598,14.59703,13.00445,12.63715,12.30333,15.97643,12.97079,12.62815,13.82518,14.13082,12.72947,12.97528,12.6831,14.51032,13.3872,12.22637,12.70095,11.50528,13.53939,13.64402,13.39779,13.56832,12.26494,14.7856,12.75586,14.70491,12.20907,13.98472,12.79905,14.31515,13.63868,12.7405,12.95994,14.73958,12.89998,12.98431,14.34043,11.88863,14.33221,14.40373,8.83845,7.029542,6.131795,6.62872,7.964409,8.372707,8.563236,8.327936,7.35939,9.186635,6.714858,7.909112,8.42674,9.602051,8.406927,7.790706,6.948187,8.325148,6.96792,6.602935,9.233326,8.534667,6.008247,5.637865,8.201816,8.222863,8.558538,8.217148,7.603683,7.320009,7.231558,6.728292,7.701732,8.295205,9.567617,7.169698,6.799556,6.371014,9.218745,9.474215,9.358904,11.45073,7.868534,7.876532,7.927405,6.321014,6.920406,7.785848,7.338312,9.09589,2.219132,1.187167,2.84558,3.762573,4.044795,1.838894,2.769889,2.775141,4.945262,2.769996,4.010449,0,3.271017,2.883245,2.190472,2.765354,2.791666,2.889744,1.932718,3.074553,3.227275,3.662713,0.9202599,2.707296,2.482261,1.759331,2.706065,4.223517,2.081667,3.431562,1.162265,2.25524,4.630888,3.269594,3.096475,3.201866,2.930085,2.718572,1.77861,3.575684,3.551829,4.454895,1.881796,2.526972,3.560342,1.223353,3.244952,1.70436,1.274177,3.178783,12.43805,12.44919,12.96949,11.41784,10.46834,10.88288,11.57827,10.31224,11.05222,12.74327,10.1697,10.84518,10.84367,10.09404,12.14967,11.46561,11.86371,9.576205,10.37553,11.35501,12.26276,13.20243,12.96107,10.77471,12.3091,11.2015,10.6672,11.81284,11.83732,11.14281,11.048,10.56146,11.09745,11.61956,9.920536,13.08838,10.91221,12.60957,9.186833,10.17848,11.96924,11.34347,13.83237,10.31353,11.46073,13.75415,12.36547,10.90382,11.13798,10.86311, + 12.99271,13.45915,13.57244,13.25383,11.37919,13.4852,12.33603,12.72537,13.02177,12.79333,12.88575,13.41481,11.90817,11.20696,11.28725,15.00942,11.7949,11.78342,13.57421,13.43509,11.71711,12.34088,11.39792,13.10886,12.61304,11.36098,11.84432,10.78325,12.64425,12.32275,12.30164,12.67228,10.954,13.83256,12.12176,13.53309,11.67449,12.63415,11.61044,13.04334,12.8262,11.93906,12.09365,13.45668,12.07768,11.98217,13.42008,10.96675,12.90331,13.49811,8.411812,5.03619,5.724612,5.382736,6.927507,7.377997,7.660454,7.862156,6.4671,8.071333,5.370781,7.074825,7.708427,8.148896,7.523354,6.359206,6.125348,7.92308,6.410634,6.225789,7.591645,7.519176,5.443868,4.969975,7.288306,7.264403,7.680512,7.255906,5.915119,5.800435,6.342042,6.147452,6.611422,6.939578,8.130002,6.679816,6.230485,6.275747,8.012934,8.666935,8.216132,10.061,6.961243,6.987482,7.167418,4.565693,6.514339,6.757631,5.892882,8.426215,1.053268,2.29517,0.4501339,2.387787,2.993806,2.041889,1.126851,1.602015,2.38011,1.377929,1.829767,3.271017,0,1.829606,2.282732,3.155741,1.131325,0.7492043,1.750933,1.447553,1.862352,3.427828,3.150469,0.702806,1.886625,3.212187,0.7781499,3.485011,3.444189,0.8274392,2.161914,1.35958,1.360803,2.367075,3.443807,1.472484,2.805001,3.441118,2.501278,4.295114,1.752147,2.008488,1.514165,3.159867,1.576272,2.870054,0.06401415,2.22665,2.576819,1.881288,9.69255,9.867959,10.089,8.506639,7.537388,8.184918,8.935827,7.419034,8.143066,9.938038,7.44657,8.092867,7.879967,7.330432,9.474873,8.860053,9.036654,6.738129,7.521963,8.373802,9.173823,10.34492,10.08065,7.876201,9.667472,8.358927,7.924161,8.996435,9.103137,8.392125,8.071252,8.08672,8.323786,8.538961,7.388072,10.25491,7.961644,9.616772,6.44965,7.381734,9.152303,8.45432,10.90812,7.121337,8.643489,10.82383,9.613596,8.240695,8.174266,7.872993, + 11.61869,12.09845,12.16866,12.04164,10.01527,12.07884,11.1197,11.30645,11.76486,11.44789,11.56219,12.15121,10.59404,10.05486,9.931805,13.65718,10.5173,10.3596,11.95919,11.96531,10.36362,10.84111,10.1711,11.95397,11.16758,9.941995,10.42582,9.302501,11.24761,11.12108,10.99038,11.27621,9.736703,12.46795,10.62022,12.26524,10.13462,11.44964,10.33752,11.82126,11.39729,10.4992,10.68106,12.24261,10.64719,10.62628,12.03913,9.567676,11.7619,12.11149,6.800153,4.183275,4.04786,4.037633,5.520807,5.961633,6.209553,6.253714,4.985261,6.723182,4.079647,5.583554,6.184677,6.978084,6.061744,5.144689,4.605234,6.295993,4.800536,4.555021,6.526047,6.114924,3.806105,3.348864,5.834619,5.829669,6.219594,5.822217,4.852166,4.625719,4.855686,4.537989,5.22246,5.694245,6.950132,5.054604,4.619415,4.536189,6.708031,7.193718,6.883456,8.877139,5.497821,5.516926,5.648679,3.51778,4.859402,5.343045,4.675532,6.89677,1.571431,1.705664,1.535613,0.9260815,1.39537,1.0447,0.7244819,0.2497984,2.156077,0.4685376,1.203949,2.883245,1.829606,0,0.8261009,1.396401,0.7133977,1.092081,1.004631,0.4438124,0.3452756,1.612305,2.264204,2.007342,0.4045826,1.864469,1.152789,1.797374,1.955223,1.2191,2.273637,0.9054771,2.718449,0.6004246,1.639316,0.5126748,0.9903084,1.718692,3.198635,2.489082,0.713387,1.675848,2.136404,1.473428,0.7994239,1.869911,1.868686,1.196595,1.66802,0.2955426,9.570683,9.566361,10.13389,8.601942,7.668666,8.012489,8.699678,7.497403,8.238035,9.887126,7.30645,7.984565,8.056923,7.239799,9.273184,8.584526,9.016511,6.74738,7.545272,8.573359,9.549293,10.35863,10.12549,7.958225,9.429368,8.362209,7.805489,8.962985,8.969713,8.280615,8.266498,7.678587,8.240315,8.904705,7.037931,10.23818,8.118099,9.825348,6.332593,7.332122,9.118861,8.519326,11.00932,7.752758,8.612714,10.93387,9.49942,8.028749,8.348685,8.09097, + 11.9426,12.4286,12.46986,12.45936,10.35546,12.37871,11.54001,11.60162,12.15932,11.79113,11.91843,12.53995,10.9616,10.51503,10.27804,13.98599,10.907,10.65699,12.08808,12.22003,10.70818,11.07859,10.59155,12.4019,11.44456,10.24561,10.72651,9.56542,11.55845,11.54922,11.3573,11.58727,10.16532,12.79382,10.85761,12.65101,10.34332,11.88499,10.73108,12.23472,11.68492,10.78423,10.98427,12.65835,10.93803,10.96762,12.35633,9.887776,12.21752,12.42457,6.973249,4.844047,4.205791,4.483723,5.886475,6.312046,6.530777,6.438147,5.307984,7.10657,4.55627,5.885358,6.44872,7.457687,6.377502,5.633437,4.906976,6.460267,5.012847,4.704949,7.061298,6.471017,4.020043,3.601378,6.160445,6.169472,6.533168,6.162914,5.41895,5.147219,5.17816,4.758142,5.606666,6.155179,7.425533,5.244637,4.835588,4.58728,7.118147,7.483663,7.274243,9.330093,5.823022,5.83629,5.926721,4.130573,5.0206,5.707049,5.174273,7.145182,1.615463,1.097638,1.881162,1.593677,1.859726,0.4862711,1.2069,0.8643769,2.979108,1.015861,2.028975,2.190472,2.282732,0.8261009,0,0.9695988,1.213006,1.556362,0.6991595,1.199918,1.151734,1.643348,1.470601,2.204533,0.4718294,1.05205,1.506643,2.094364,1.196981,1.892532,1.860863,0.9631841,3.390929,1.082,1.321662,1.303216,0.8464824,1.192413,2.900019,2.124203,1.537747,2.501311,1.994689,0.9001709,1.621669,1.071861,2.302661,0.5141799,0.9201731,1.094876,10.34441,10.30855,10.92884,9.405955,8.478404,8.784318,9.457783,8.302854,9.04295,10.67033,8.086538,8.766094,8.869443,8.027042,10.03495,9.33602,9.806287,7.548653,8.344948,9.386569,10.37161,11.14927,10.92045,8.762647,10.18412,9.156875,8.586309,9.751203,9.743705,9.060482,9.079977,8.408703,9.024294,9.727163,7.784273,11.02515,8.928838,10.63715,7.121178,8.124185,9.90661,9.320448,11.80902,8.577314,9.402379,11.73465,10.27456,8.794106,9.16038,8.906427, + 11.18036,11.66999,11.68837,11.77891,9.612335,11.59644,10.86541,10.81798,11.45761,11.04524,11.1832,11.83173,10.23972,9.886302,9.540389,13.22245,10.20551,9.878177,11.19989,11.40556,9.967293,10.25549,9.921128,11.75224,10.64789,9.473198,9.95,8.76528,10.78701,10.8824,10.63333,10.81593,9.50522,12.03077,10.0351,11.93971,9.503814,11.22419,10.03396,11.55088,10.89538,9.995613,10.2088,11.97533,10.15324,10.22302,11.58755,9.130046,11.57662,11.65236,6.12717,4.569299,3.384433,3.917145,5.203053,5.608187,5.798207,5.603358,4.594661,6.424369,4.023246,5.144383,5.670307,6.873412,5.642026,5.087213,4.18304,5.612553,4.214587,3.868434,6.550202,5.770363,3.245236,2.87371,5.436463,5.457842,5.794009,5.452182,4.979538,4.653161,4.467109,3.970393,4.946099,5.566822,6.836759,4.426836,4.043351,3.694781,6.462248,6.716087,6.597469,8.700316,5.103264,5.111179,5.165511,3.80128,4.186553,5.024968,4.650662,6.348639,2.581558,1.902895,2.789986,1.648114,1.566317,1.42715,2.031995,1.577774,3.252426,1.79093,2.389353,2.765354,3.155741,1.396401,0.9695988,0,2.030147,2.407581,1.667897,1.839851,1.569396,0.917509,1.875011,3.157477,1.271781,1.077561,2.40157,1.548906,0.9040371,2.614816,2.736413,1.909031,4.113951,1.156973,0.3656688,1.895249,0.4729306,0.3405322,3.797949,1.160785,1.945409,2.834543,2.95415,0.2588584,2.102275,1.54337,3.184712,1.374596,1.573309,1.51694,10.25618,10.13071,10.91447,9.440693,8.549381,8.700649,9.328196,8.352612,9.084516,10.61231,8.035862,8.714511,8.953876,8.002155,9.912025,9.189068,9.777434,7.585341,8.367247,9.47196,10.52599,11.11648,10.90617,8.803773,10.04038,9.151669,8.533737,9.716778,9.659986,9.000944,9.168999,8.215421,8.979325,9.886329,7.637443,10.97897,9.002264,10.70708,7.110724,8.116703,9.869466,9.342091,11.81122,8.879753,9.375707,11.7421,10.19128,8.690572,9.237886,9.009683, + 12.21016,12.68588,12.77076,12.57737,10.60123,12.68173,11.65556,11.9128,12.31597,12.02937,12.13626,12.70515,11.16354,10.56578,10.51471,14.24318,11.07388,10.96655,12.62876,12.58918,10.94648,11.47384,10.70909,12.46922,11.78268,10.54677,11.03104,9.927287,11.84637,11.65173,11.55945,11.87481,10.27045,13.05708,11.25332,12.8208,10.7797,11.97469,10.89216,12.36018,12.00709,11.11172,11.28458,12.77927,11.25673,11.21033,12.63339,10.16511,12.27204,12.70775,7.46444,4.545744,4.727853,4.595466,6.110832,6.556867,6.817972,6.916115,5.600469,7.296322,4.616668,6.204353,6.818539,7.486924,6.67352,5.660381,5.232723,6.964454,5.460342,5.234267,6.993208,6.706317,4.47224,4.007131,6.442844,6.431068,6.831595,6.423212,5.306559,5.121936,5.47199,5.196815,5.804605,6.225,7.46223,5.720121,5.279036,5.235899,7.26537,7.812451,7.451507,9.396876,6.108364,6.130101,6.279369,3.949158,5.534209,5.935205,5.188828,7.534127,0.979606,1.628257,0.8234001,1.460516,2.022483,1.121381,0.02428155,0.4739828,2.175563,0.2482865,1.28907,2.791666,1.131325,0.7133977,1.213006,2.030147,0,0.3834443,0.8975345,0.4407284,0.8414397,2.325606,2.383827,1.314791,0.7735605,2.227684,0.4493254,2.470141,2.408087,0.7079416,1.933058,0.5366728,2.181676,1.291689,2.312611,0.5403993,1.674316,2.325552,2.711031,3.164109,0.9334413,1.691617,1.603097,2.051678,0.8528891,2.030174,1.165601,1.317274,1.762445,0.8390292,9.691087,9.756072,10.192,8.633392,7.680381,8.144544,8.860207,7.528522,8.267541,9.981393,7.42125,8.091559,8.053391,7.334839,9.423129,8.759685,9.094968,6.799455,7.598177,8.564053,9.476099,10.42969,10.18359,7.991045,9.59405,8.428102,7.915381,9.046341,9.091846,8.390616,8.257116,7.899922,8.339201,8.83228,7.232451,10.32059,8.122935,9.818535,6.430132,7.411878,9.202973,8.562107,11.04871,7.56974,8.693225,10.96958,9.616542,8.176227,8.347902,8.071662, + 12.4877,12.96056,13.05485,12.81987,10.87638,12.96637,11.89886,12.20011,12.5681,12.30067,12.40281,12.95877,11.42794,10.79513,10.788,14.51617,11.33035,11.25482,12.95954,12.88771,11.2194,11.77886,10.95454,12.69937,12.07579,10.83393,11.31815,10.22791,12.1288,11.89187,11.82326,12.15712,10.51379,13.33266,11.55871,13.07535,11.0935,12.21117,11.14759,12.6048,12.29659,11.40352,11.57043,13.0222,11.54649,11.4838,12.91248,10.44786,12.49928,12.98809,7.793744,4.710547,5.07122,4.865529,6.394534,6.842772,7.11149,7.244579,5.900511,7.567512,4.875073,6.506608,7.128102,7.71984,6.969357,5.902396,5.541109,7.297129,5.788815,5.576422,7.203492,6.989608,4.806657,4.337664,6.736893,6.720963,7.127314,6.712877,5.516057,5.355338,5.772995,5.525072,6.084379,6.473741,7.697089,6.052067,5.607677,5.594072,7.527173,8.11107,7.719365,9.632894,6.404476,6.427784,6.587702,4.155549,5.872839,6.220592,5.431392,7.845101,0.8251252,1.780916,0.4660031,1.763123,2.348876,1.382712,0.3778487,0.8568648,2.207901,0.6314504,1.418557,2.889744,0.7492043,1.092081,1.556362,2.407581,0.3834443,0,1.115068,0.7544663,1.176045,2.701861,2.593919,0.9944662,1.141374,2.533759,0.2019906,2.8154,2.739312,0.5515263,1.915205,0.7091308,1.884256,1.655653,2.694839,0.8155606,2.05767,2.696937,2.562166,3.546001,1.171574,1.749246,1.454438,2.418696,1.03859,2.26822,0.7822774,1.577178,1.984968,1.184013,9.70269,9.805234,10.16893,8.599721,7.639146,8.166544,8.895591,7.498245,8.233903,9.978233,7.436421,8.100178,8.002731,7.339683,9.451368,8.803293,9.08533,6.783434,7.579345,8.508761,9.384507,10.41311,10.16052,7.960065,9.629914,8.413528,7.926141,9.039467,9.105806,8.399936,8.202689,7.97121,8.342673,8.742654,7.291498,10.31034,8.076531,9.761471,6.440349,7.40819,9.196112,8.53472,11.01399,7.425353,8.685762,10.93301,9.626535,8.206481,8.297798,8.012509, + 12.53486,13.01814,13.07278,13.00205,10.93896,12.98218,12.08075,12.20674,12.71534,12.37399,12.49482,13.09933,11.53161,11.03025,10.85851,14.57683,11.46503,11.26057,12.75127,12.84224,11.28976,11.70677,11.13172,12.92589,12.05735,10.84614,11.32868,10.18266,12.15656,12.08524,11.92787,12.1853,10.70032,13.38557,11.48568,13.21207,10.98133,12.41672,11.28686,12.77984,12.29335,11.39323,11.58548,13.20229,11.54464,11.55095,12.95194,10.48053,12.73647,13.02211,7.619534,5.18648,4.849935,5.000202,6.451802,6.885936,7.119097,7.079958,5.892913,7.664658,5.053654,6.481193,7.061652,7.957797,6.968062,6.125017,5.50021,7.10846,5.6419,5.35334,7.520498,7.04235,4.644726,4.209279,6.745918,6.748299,7.12501,6.741294,5.851321,5.614708,5.762841,5.383573,6.161639,6.666071,7.928457,5.881996,5.462709,5.260552,7.661363,8.087458,7.82853,9.849331,6.408072,6.424081,6.532859,4.521414,5.666545,6.272837,5.658131,7.765443,0.9344545,0.7480381,1.312181,1.928373,2.343005,0.2970045,0.879096,0.853155,3.013889,0.838992,2.078068,1.932718,1.750933,1.004631,0.6991595,1.667897,0.8975345,1.115068,0,1.141863,1.333562,2.296706,1.490641,1.546877,0.6492555,1.465189,0.9924021,2.667147,1.720492,1.593111,1.28217,0.4065478,2.997472,1.518805,2.020709,1.269225,1.507991,1.871096,2.265839,2.817568,1.626751,2.52321,1.302168,1.577586,1.62768,1.153404,1.756938,0.475717,0.8734512,1.292351,10.50773,10.53375,11.03736,9.487987,8.541095,8.953963,9.654662,8.382231,9.122544,10.81089,8.238714,8.913552,8.919419,8.161702,10.22394,9.545537,9.930991,7.644247,8.443584,9.432269,10.36107,11.26979,11.02895,8.844583,10.38664,9.268979,8.735792,9.880157,9.907185,9.211424,9.125122,8.655833,9.165299,9.716779,8.005103,11.15568,8.986339,10.6868,7.254614,8.245765,10.03657,9.41239,11.90187,8.466993,9.528024,11.82407,10.43478,8.977408,9.213303,8.942473, + 11.77021,12.24568,12.33165,12.13767,10.16103,12.2427,11.21581,11.47419,11.87551,11.58892,11.6956,12.26461,10.72283,10.12801,10.07435,13.80287,10.63325,10.52807,12.20744,12.15309,10.50611,11.03968,10.26917,12.03118,11.34522,10.10808,10.59236,9.491669,11.40699,11.21233,11.11873,11.43542,9.830758,12.61696,10.81928,12.38022,10.34889,11.53574,10.45157,11.92028,11.56889,10.67395,10.8457,12.33952,10.81855,10.77,12.19362,9.725723,11.83451,12.26812,7.041894,4.131845,4.316755,4.154773,5.671329,6.117727,6.380285,6.492967,5.164249,6.855764,4.176173,5.76888,6.385674,7.0489,6.236354,5.221303,4.799154,6.544242,5.03704,4.821975,6.560285,6.266812,4.053114,3.584997,6.005232,5.992597,6.394419,5.984698,4.874669,4.684399,5.036023,4.773332,5.364605,5.785056,7.023894,5.299269,4.85582,4.843397,6.824656,7.376116,7.010831,8.958151,5.671192,5.693328,5.845964,3.519542,5.118684,5.495922,4.74978,7.101901,1.417461,1.888706,1.220064,1.022476,1.596551,1.283628,0.4624369,0.3397423,1.87497,0.3141827,0.9365733,3.074553,1.447553,0.4438124,1.199918,1.839851,0.4407284,0.7544663,1.141863,0,0.4220926,1.983917,2.555617,1.737127,0.7301791,2.251966,0.8751578,2.061295,2.372129,0.7782529,2.311463,0.8798803,2.274638,0.9197145,2.074124,0.127521,1.424338,2.162397,3.137448,2.920503,0.5128844,1.384194,2.03479,1.914531,0.4858281,2.174588,1.493346,1.465154,1.938014,0.4347644,9.367186,9.40383,9.896305,8.349174,7.404829,7.814479,8.518952,7.243379,7.98393,9.669111,7.097818,7.772209,7.785777,7.019954,9.086607,8.412483,8.789177,6.50347,7.302787,8.299805,9.245823,10.12816,9.887893,7.705576,9.251626,8.127505,7.594597,8.738297,8.766785,8.070228,7.99263,7.534377,8.023641,8.601113,6.876304,10.01383,7.851227,9.553985,6.112941,7.103927,8.894707,8.272424,10.76231,7.400581,8.386184,10.68489,9.294005,7.839751,8.079196,7.812019, + 11.38024,11.85748,11.93741,11.77237,9.77306,11.84812,10.85031,11.0781,11.50314,11.20314,11.31302,11.89102,10.34207,9.774064,9.687668,13.41548,10.25819,10.13156,11.78982,11.75031,10.11954,10.63348,9.902509,11.67546,10.94566,9.712348,10.19656,9.088049,11.01396,10.84925,10.73823,11.04245,9.465976,12.2281,10.4129,12.00592,9.938302,11.17533,10.07735,11.55348,11.17144,10.27527,10.45063,11.97381,10.42107,10.38298,11.80256,9.332878,11.48119,11.87625,6.624792,3.854566,3.895491,3.775779,5.279821,5.724365,5.981771,6.076183,4.762259,6.472197,3.806882,5.365245,5.977695,6.695163,5.836444,4.863284,4.392319,6.125953,4.62027,4.400992,6.227083,5.875132,3.634158,3.167423,5.606568,5.596643,5.994512,5.588901,4.547395,4.335574,4.633506,4.356652,4.976186,5.420194,6.668571,4.881207,4.438986,4.421798,6.448083,6.974099,6.629571,8.599758,5.271394,5.292526,5.438793,3.203779,4.698553,5.103391,4.39255,6.69304,1.792476,2.047369,1.641106,0.6345801,1.181147,1.389353,0.8602304,0.4983264,1.829227,0.6432351,0.8854006,3.227275,1.862352,0.3452756,1.151734,1.569396,0.8414397,1.176045,1.333562,0.4220926,0,1.586342,2.604773,2.152763,0.7497511,2.168038,1.28755,1.639374,2.227153,1.138942,2.584982,1.177415,2.582158,0.5190911,1.753707,0.3949385,1.115943,1.906172,3.474984,2.583298,0.3982297,1.357367,2.389676,1.690867,0.5338017,2.208993,1.910052,1.541632,2.012262,0.0583208,9.225568,9.221976,9.791027,8.261268,7.330096,7.667287,8.354509,7.157143,7.897636,9.542629,6.961613,7.639862,7.719726,6.895623,8.927932,8.239616,8.67275,6.405788,7.203322,8.236556,9.220307,10.01505,9.78263,7.617649,9.084293,8.01922,7.460724,8.619011,8.624597,7.935798,7.929837,7.335447,7.895837,8.575937,6.693419,9.894098,7.780009,9.487835,5.988524,6.988622,8.774834,8.177805,10.66753,7.446082,8.26892,10.59236,9.154362,7.683474,8.011071,7.755519, + 10.31847,10.80623,10.83827,10.88251,8.73969,10.74682,9.966943,9.969033,10.56814,10.17458,10.30743,10.94481,9.357643,8.976836,8.665049,12.36187,9.31544,9.025794,10.45466,10.57936,9.093714,9.436412,9.02108,10.84767,9.807874,8.616652,9.096188,7.927268,9.930363,9.981778,9.752312,9.959235,8.602263,11.1696,9.215475,11.05401,8.699971,10.32213,9.142264,10.65544,10.05041,9.149752,9.354429,11.07978,9.304847,9.351389,10.72957,8.264804,10.67009,10.79645,5.330485,3.722951,2.562454,2.999783,4.302634,4.715198,4.917409,4.794822,3.703501,5.525212,3.107746,4.266696,4.815092,5.957176,4.762388,4.169949,3.295376,4.817874,3.372287,3.062274,5.633978,4.876448,2.383493,1.983114,4.551273,4.567573,4.916362,4.561554,4.075884,3.740843,3.574774,3.119581,4.039194,4.650279,5.920843,3.601627,3.196073,2.969094,5.556177,5.854966,5.696904,7.790524,4.21572,4.225957,4.298893,2.942224,3.377524,4.123852,3.735046,5.506815,3.110323,2.71025,3.147721,1.294929,0.8957953,2.128526,2.336761,1.857143,2.840933,2.080366,2.154916,3.662713,3.427828,1.612305,1.643348,0.917509,2.325606,2.701861,2.296706,1.983917,1.586342,0,2.786497,3.60591,1.719476,1.994533,2.762734,0.6692693,1.79272,2.72425,3.503252,2.409465,4.120763,1.068054,0.6823563,1.980311,0.7969706,1.106634,4.541906,1.174874,1.842399,2.516503,3.59138,1.174401,2.035057,2.439923,3.470743,2.138183,2.430274,1.557327,9.460465,9.294438,10.15523,8.715962,7.852481,7.913352,8.515737,7.643593,8.365851,9.830734,7.269735,7.944082,8.263016,7.250721,9.100705,8.369098,9.014489,6.87395,7.641203,8.778663,9.873215,10.34658,10.14702,8.086478,9.21912,8.404882,7.763718,8.951038,8.868608,8.224849,8.479798,7.378748,8.211165,9.240248,6.824306,10.20241,8.304021,9.998084,6.374538,7.374582,9.101626,8.610021,11.05837,8.349747,8.615721,10.9924,9.398243,7.893267,8.540854,8.330806, + 13.02466,13.5157,13.52047,13.65034,11.46753,13.42814,12.73796,12.64983,13.32489,12.89774,13.04006,13.69713,12.1021,11.76117,11.39785,15.06404,12.0735,11.71459,12.90785,13.21213,11.82302,12.05616,11.79445,13.62688,12.47069,11.31411,11.78772,10.58919,12.62659,12.75585,12.49472,12.65552,11.37954,13.87373,11.83685,13.8042,11.28914,13.09815,11.903,13.42181,12.72302,11.82537,12.04675,13.84627,11.98534,12.07691,13.42773,10.97929,13.45157,13.49042,7.919231,6.282352,5.219955,5.776829,7.077186,7.479532,7.66287,7.410122,6.465895,8.297862,5.873204,7.008032,7.51711,8.742348,7.506163,6.944531,6.05321,7.406146,6.057591,5.687529,8.399226,7.642031,5.10537,4.74661,7.304059,7.328026,7.656696,7.322541,6.794602,6.491257,6.338912,5.820492,6.821106,7.435112,8.706451,6.255743,5.890733,5.45091,8.337227,8.565188,8.47138,10.5751,6.972407,6.979128,7.021984,5.547843,6.004659,6.899305,6.49966,8.182267,2.143166,0.8613139,2.700491,3.060111,3.256638,1.27686,2.366582,2.223173,4.411811,2.286098,3.458219,0.9202599,3.150469,2.264204,1.470601,1.875011,2.383827,2.593919,1.490641,2.555617,2.604773,2.786497,0,2.742843,1.864679,0.840202,2.447676,3.37886,1.162576,3.083672,1.46241,1.888311,4.459952,2.535899,2.192155,2.676568,2.096529,1.803495,2.412437,2.657337,2.973017,3.924936,2.070446,1.627766,3.024864,0.3987694,3.141976,1.090545,0.6226158,2.55006,11.81498,11.77443,12.39464,10.86588,9.93266,10.25491,10.92738,9.761507,10.5021,12.1399,9.556462,10.23585,10.32006,9.495468,11.50498,10.80445,11.2741,9.010546,9.80796,10.83612,11.79911,12.61687,12.38625,10.22221,11.65306,10.62269,10.05616,11.2195,11.21425,10.5305,10.52915,9.871423,10.49361,11.15435,9.251963,12.49388,10.38185,12.08865,8.589096,9.591014,11.37506,10.78257,13.27221,9.943709,10.8702,13.19711,11.74506,10.26453,10.61213,10.35234, + 13.47989,13.95199,14.04835,13.79705,11.86812,13.95996,12.87676,13.19408,13.55064,13.29115,13.39168,13.94198,12.41615,11.76461,11.77924,15.50699,12.31525,12.24892,13.94251,13.88212,12.21049,12.7726,11.93395,13.66864,13.07021,11.82793,12.31213,11.22214,13.12205,12.8679,12.81119,13.15035,11.49217,14.3243,12.55239,14.059,12.08516,13.18481,12.13205,13.58327,13.29079,12.39789,12.56425,13.99958,12.54073,12.47502,13.90502,11.44126,13.46657,13.98089,8.777554,5.63696,6.042493,5.857334,7.388417,7.836853,8.105956,8.228907,6.894618,8.558696,5.863481,7.500509,8.120695,8.693543,7.963789,6.882854,6.533785,8.278451,6.772975,6.548988,8.162082,7.983373,5.786382,5.320185,7.731357,7.715344,8.121752,7.707247,6.476991,6.331881,6.766986,6.509332,7.077754,7.456986,8.671993,7.033844,6.591701,6.543357,8.515341,9.105399,8.709534,10.6073,7.398885,7.422115,7.58053,5.118142,6.848963,7.214676,6.41263,8.837393,0.627738,1.887091,0.5427092,2.755051,3.33294,1.83925,1.298189,1.757762,3.028028,1.543495,2.362877,2.707296,0.702806,2.007342,2.204533,3.157477,1.314791,0.9944662,1.546877,1.737127,2.152763,3.60591,2.742843,0,1.91724,2.975469,0.865813,3.784855,3.256839,1.370377,1.555961,1.248454,1.999324,2.600792,3.486615,1.808134,2.890058,3.396827,1.798482,4.318262,2.164141,2.619267,0.8571022,3.104052,2.021411,2.528217,0.649821,1.992211,2.237446,2.153256,10.39281,10.5596,10.79179,9.20934,8.240007,8.88198,9.630449,8.121823,8.845817,10.64012,8.144213,8.792473,8.581801,8.029921,10.17182,9.55221,9.738957,7.439869,8.224355,9.074818,9.865711,11.0477,10.78344,8.579006,10.36273,9.061344,8.623231,9.698519,9.802646,9.09187,8.77257,8.767142,9.024374,9.232359,8.072046,10.95751,8.663807,10.31673,7.146812,8.082571,9.85444,9.157126,11.61026,7.794126,9.345491,11.52584,10.31406,8.935821,8.875998,8.573848, + 11.89502,12.37743,12.43634,12.35352,10.29701,12.34596,11.43214,11.57131,12.0681,11.73162,11.85096,12.45249,10.88662,10.38103,10.21583,13.93627,10.81816,10.62478,12.15534,12.21427,10.64727,11.08239,10.48312,12.27665,11.42509,10.20936,10.69235,9.553057,11.51863,11.43635,11.28293,11.54734,10.05144,12.74543,10.86132,12.56545,10.3635,11.76765,10.63973,12.13151,11.6592,10.75954,10.94875,12.55385,10.90994,10.90884,12.31304,9.841281,12.08722,12.38382,7.010266,4.567663,4.24361,4.351097,5.807299,6.243006,6.479842,6.467669,5.253547,7.018456,4.404521,5.844852,6.43181,7.308887,6.329594,5.476295,4.863939,6.501403,5.022663,4.749442,6.875332,6.398779,4.024868,3.581464,6.106057,6.106632,6.486851,6.099519,5.209715,4.967789,5.123523,4.762543,5.515506,6.01682,7.279433,5.268034,4.842571,4.686633,7.013365,7.452979,7.181745,9.200076,5.768322,5.785137,5.900464,3.887348,5.059803,5.628519,5.009776,7.138675,1.391817,1.31076,1.519927,1.297117,1.693895,0.6436164,0.7718459,0.3927784,2.548526,0.5548626,1.594718,2.482261,1.886625,0.4045826,0.4718294,1.271781,0.7735605,1.141374,0.6492555,0.7301791,0.7497511,1.719476,1.864679,1.91724,0,1.52306,1.130307,2.031765,1.661045,1.428976,1.931304,0.690809,2.933588,0.869626,1.578748,0.8379124,0.9734366,1.555565,2.903372,2.423303,1.108338,2.063742,1.888683,1.27868,1.16978,1.472969,1.914017,0.7920328,1.264135,0.6986981,9.975263,9.968827,10.53715,9.003449,8.068398,8.417035,9.103605,7.898604,8.639323,10.29151,7.710987,8.389051,8.455404,7.64401,9.677368,8.987902,9.420443,7.149716,7.947867,8.971445,9.939911,10.76243,10.52875,8.359674,9.833071,8.765593,8.21,9.367059,9.374292,8.685145,8.664478,8.079265,8.644693,9.295196,7.440648,10.64232,8.517376,10.22401,6.736748,7.735891,9.522969,8.921544,11.41171,8.121754,9.016671,11.33604,9.904003,8.433082,8.74752,8.487859, + 12.1868,12.67806,12.68102,12.82501,10.63249,12.58866,11.91439,11.8104,12.49554,12.06172,12.20539,12.86644,11.2699,10.94939,10.56362,14.2256,11.24489,10.87569,12.07832,12.37198,10.98811,11.21614,10.97245,12.8085,11.6307,10.47585,10.94897,9.749334,11.78802,11.934,11.66198,11.81695,10.56024,13.03557,10.99679,12.97293,10.44982,12.27746,11.07534,12.5959,11.88328,10.98582,11.20801,13.02031,11.14597,11.24139,12.58918,10.14267,12.63546,12.65159,7.079246,5.605379,4.38257,4.994304,6.258645,6.65561,6.833063,6.569935,5.642414,7.477134,5.100749,6.177937,6.680684,7.94672,6.676107,6.164482,5.228794,6.56607,5.220995,4.848076,7.62776,6.818463,4.274946,3.927334,6.476474,6.502816,6.825758,6.497524,6.051674,5.72968,5.516278,4.985744,6.008713,6.640848,7.90954,5.416939,5.055221,4.612042,7.522639,7.728994,7.651597,9.764156,6.146338,6.152002,6.188577,4.848955,5.165042,6.081524,5.72817,7.343479,2.34788,1.228025,2.776993,2.492766,2.572368,1.170824,2.217601,1.915837,3.992315,2.054413,3.053416,1.759331,3.212187,1.864469,1.05205,1.077561,2.227684,2.533759,1.465189,2.251966,2.168038,1.994533,0.840202,2.975469,1.52306,0,2.441803,2.620252,0.3504607,2.926159,2.047736,1.853411,4.406571,1.954637,1.367203,2.354137,1.389544,0.9659988,3.088285,1.830263,2.564026,3.525321,2.493242,0.8201766,2.663893,0.6183636,3.220541,0.9928328,0.8177948,2.109782,11.23545,11.14622,11.85892,10.35714,9.443762,9.67587,10.32411,9.258984,9.996653,11.57804,8.994554,9.67477,9.840842,8.948052,10.90588,10.19179,10.72799,8.497682,9.288979,10.35904,11.37037,12.07044,11.85057,9.71575,11.04283,10.0893,9.494188,10.67004,10.63654,9.965427,10.05349,9.234114,9.936777,10.72687,8.637724,11.93938,9.895871,11.60477,8.047398,9.053885,10.82426,10.26564,12.74785,9.613329,10.32465,12.67588,11.16825,9.674593,10.12939,9.885236, + 12.63906,13.11336,13.2029,12.98647,11.02881,13.11413,12.06509,12.3464,12.7309,12.45505,12.55939,13.12098,11.58543,10.96631,10.94132,14.66986,11.49127,11.40053,13.07691,13.02769,11.37293,11.91481,11.11987,12.87042,12.21887,10.98022,11.4645,10.36649,12.27766,12.05929,11.98104,12.30605,10.67989,13.48504,11.69442,13.23719,11.22364,12.37996,11.30893,12.77058,12.4417,11.5473,11.71747,13.18865,11.69141,11.63709,13.06309,10.59644,12.67131,13.13807,7.912173,4.897939,5.177133,5.019295,6.542101,6.989277,7.253893,7.363653,6.038925,7.72146,5.033981,6.643806,7.260789,7.88938,7.110419,6.068201,5.674307,7.412751,5.907765,5.683506,7.380248,7.137503,4.920631,4.454778,6.878935,6.865307,7.268468,6.857345,5.692573,5.52408,5.910808,5.644165,6.233872,6.637121,7.865938,6.168224,5.726475,5.683686,7.685359,8.250662,7.874881,9.80161,6.545284,6.567688,6.721114,4.332307,5.983199,6.367244,5.596832,7.976937,0.6250188,1.618423,0.3914561,1.896975,2.4684,1.275445,0.4335548,0.9057033,2.409292,0.6846696,1.607606,2.706065,0.7781499,1.152789,1.506643,2.40157,0.4493254,0.2019906,0.9924021,0.8751578,1.28755,2.762734,2.447676,0.865813,1.130307,2.441803,0,2.919401,2.66702,0.7502824,1.715559,0.5899278,2.013538,1.739341,2.705847,0.9555237,2.081839,2.675791,2.36644,3.552939,1.330685,1.948642,1.256591,2.391018,1.212136,2.136923,0.7960529,1.465262,1.84855,1.287445,9.904515,10.0069,10.36918,8.799295,7.838173,8.368524,9.097529,7.698186,8.433512,10.17959,7.638348,8.301971,8.200805,7.541406,9.653358,9.005086,9.28643,6.984355,7.780041,8.706277,9.576927,10.61378,10.36078,8.159907,9.831854,8.614407,8.127985,9.2407,9.307686,8.601738,8.400337,8.17179,8.544322,8.935494,7.492698,10.51136,8.275023,9.958652,6.642223,7.609633,9.397338,8.734779,11.21331,7.607469,8.886983,11.13218,9.828325,8.408459,8.495893,8.209654, + 9.868066,10.35181,10.40595,10.365,8.273934,10.31542,9.445678,9.540336,10.06626,9.709346,9.832742,10.44768,8.872691,8.425975,8.194501,11.91035,8.814229,8.59397,10.1633,10.18331,8.625416,9.053489,8.497268,10.30968,9.393335,8.179176,8.661861,7.521668,9.489417,9.455169,9.26869,9.518156,8.071512,10.71889,8.83246,10.55919,8.340676,9.791411,8.637834,10.14041,9.627739,8.727951,8.918538,10.56401,8.878648,8.88606,10.28485,7.813567,10.12665,10.35496,5.002858,3.053683,2.257748,2.40522,3.794401,4.223674,4.452298,4.456342,3.226348,5.01315,2.494945,3.814238,4.400604,5.379405,4.301005,3.568618,2.833223,4.499333,3.003601,2.764134,5.020366,4.381497,2.008736,1.553865,4.079519,4.083827,4.457894,4.076989,3.431589,3.113861,3.096275,2.741394,3.512466,4.073268,5.345544,3.257296,2.822587,2.791297,5.023949,5.421525,5.180283,7.240231,3.741656,3.757216,3.868711,2.273433,3.065106,3.615031,3.120956,5.108945,3.367746,3.191465,3.28014,1.119613,0.5191254,2.557453,2.486689,2.044167,2.423947,2.245911,1.925839,4.223517,3.485011,1.797374,2.094364,1.548906,2.470141,2.8154,2.667147,2.061295,1.639374,0.6692693,3.37886,3.784855,2.031765,2.620252,2.919401,0,2.444716,2.70366,3.931307,2.686372,3.958625,1.19738,1.350329,2.016185,1.293473,1.770474,4.932219,1.738172,1.758254,2.189579,3.912819,1.807522,1.950797,3.012049,3.536195,2.608077,2.961382,1.633417,8.794894,8.625169,9.497237,8.068916,7.216242,7.24978,7.847968,7.003131,7.721159,9.1677,6.611476,7.284297,7.628525,6.5966,8.432986,7.700596,8.356033,6.233747,6.994759,8.142628,9.25188,9.685938,9.489046,7.442544,8.550442,7.751205,7.104136,8.291909,8.203937,7.563572,7.845665,6.709486,7.551797,8.622515,6.156777,9.540325,7.666693,9.35532,5.726298,6.723182,8.441914,7.960688,10.40169,7.789197,7.958235,10.33659,8.733142,7.227822,7.903697,7.70089, + 11.89049,12.38234,12.37847,12.55282,10.34384,12.28596,11.64499,11.50806,12.2172,11.77046,11.91719,12.58575,10.98685,10.69536,10.27674,13.9271,10.96809,10.5759,11.74542,12.05995,10.69965,10.90272,10.70554,12.54576,11.32467,10.17854,10.64978,9.444703,11.48937,11.66696,11.37781,11.51829,10.29712,12.73819,10.68378,12.6912,10.13242,12.01187,10.80011,12.32291,11.5791,10.68294,10.90881,12.74714,10.84405,10.95148,12.2905,9.850303,12.37559,12.35183,6.766078,5.473336,4.091433,4.778796,5.999755,6.388637,6.55643,6.261954,5.377324,7.213974,4.894615,5.901375,6.390213,7.712442,6.399163,5.948329,4.962912,6.253964,4.931218,4.548031,7.416955,6.551852,4.000519,3.672271,6.203942,6.234042,6.547089,6.229053,5.868451,5.53152,5.252643,4.700988,5.758143,6.409706,7.673977,5.119578,4.768509,4.293966,7.267485,7.438567,7.389582,9.511717,5.876604,5.880559,5.905567,4.704657,4.863761,5.823896,5.521078,7.045113,2.632006,1.56641,3.020034,2.466701,2.462574,1.423673,2.400945,2.04746,4.023192,2.211961,3.105523,2.081667,3.444189,1.955223,1.196981,0.9040371,2.408087,2.739312,1.720492,2.372129,2.227153,1.79272,1.162576,3.256839,1.661045,0.3504607,2.66702,2.444716,0,3.088532,2.394303,2.087746,4.587791,1.937038,1.127824,2.462603,1.302816,0.7018775,3.437932,1.494818,2.625087,3.572129,2.817854,0.6536029,2.745858,0.9688009,3.457477,1.264918,1.157885,2.1692,11.15184,11.03377,11.79912,10.31402,9.412791,9.59483,10.22782,9.221181,9.955899,11.50406,8.924618,9.604024,9.814162,8.88639,10.81128,10.09006,10.66395,8.456023,9.242275,10.33256,11.36676,12.0045,11.7908,9.674961,10.94141,10.03328,9.423256,10.60422,10.55477,9.891918,10.02827,9.118702,9.867982,10.72486,8.537701,11.8691,9.865567,11.57291,7.991031,8.997726,10.75747,10.21828,12.6932,9.65949,10.26154,12.623,11.08629,9.587199,10.10037,9.864732, + 12.16982,12.63739,12.74781,12.44797,10.55642,12.66041,11.52895,11.89977,12.21008,11.97255,12.06693,12.60256,11.08975,10.40782,10.46504,14.18883,10.98009,10.95741,12.75264,12.60791,10.89524,11.51346,10.58872,12.31114,11.78638,10.53508,11.01855,9.955814,11.8198,11.51762,11.48369,11.84788,10.1456,13.01062,11.29435,12.72041,10.84796,11.83166,10.79601,12.23602,12.00018,11.11249,11.26821,12.65071,11.25147,11.16023,12.59683,10.14168,12.1075,12.67451,7.592486,4.266655,4.922536,4.556474,6.100563,6.550998,6.833034,7.042979,5.640198,7.247644,4.546963,6.24791,6.882374,7.342574,6.695922,5.543813,5.300314,7.106404,5.593823,5.420638,6.799088,6.692548,4.63425,4.159218,6.460867,6.437068,6.853074,6.428581,5.116654,4.987472,5.515335,5.331104,5.78479,6.122492,7.322486,5.864741,5.414186,5.492332,7.192249,7.839499,7.39358,9.255971,6.13387,6.160183,6.34144,3.761035,5.70497,5.930464,5.075949,7.600094,1.358893,2.300246,0.8439592,1.589641,2.199374,1.82866,0.7223405,1.054603,1.686755,0.8766975,1.009632,3.431562,0.8274392,1.2191,1.892532,2.614816,0.7079416,0.5515263,1.593111,0.7782529,1.138942,2.72425,3.083672,1.370377,1.428976,2.926159,0.7502824,2.70366,3.088532,0,2.465825,1.20347,1.50828,1.658014,2.852047,0.7494183,2.202365,2.932921,3.06836,3.697101,0.9478814,1.253515,1.974504,2.676634,0.7615995,2.736058,0.887721,2.024772,2.464462,1.172513,9.159436,9.2743,9.619127,8.049013,7.087996,7.626714,8.359846,6.94797,7.683231,9.431585,6.894919,7.556644,7.451232,6.795504,8.912991,8.270632,8.537639,6.235204,7.030475,7.95724,8.836084,9.864133,9.610726,7.409659,9.094039,7.865139,7.383223,8.492284,8.563333,7.856477,7.651163,7.451418,7.797816,8.193851,6.766403,9.76235,7.525131,9.209984,5.898012,6.862058,8.648901,7.98461,10.46305,6.891429,8.138542,10.38196,9.082893,7.669285,7.746303,7.461032, + 13.79615,14.28101,14.32734,14.28136,12.20469,14.23635,13.36032,13.45967,13.99163,13.64024,13.76403,14.37472,12.80325,12.3123,12.12567,15.83913,12.7406,12.5145,13.93104,14.08087,12.55647,12.93934,12.41128,14.20755,13.30435,12.1021,12.58359,11.42577,13.41425,13.36555,13.19935,13.44305,11.98064,14.64724,12.71837,14.48697,12.20256,13.69762,12.56303,14.05868,13.54383,12.6432,12.84108,14.48139,12.79642,12.81686,14.21128,11.74125,14.01842,14.28025,8.830494,6.432889,6.065056,6.281394,7.723715,8.154854,8.381425,8.297101,7.156381,8.939375,6.335808,7.739066,8.307982,9.239936,8.229132,7.407074,6.759076,8.316925,6.873709,6.562548,8.798837,8.312347,5.880566,5.45807,8.00955,8.015061,8.385433,8.00825,7.12577,6.895236,7.026352,6.618856,7.43661,7.948024,9.210625,7.104879,6.696401,6.424905,8.939727,9.340747,9.104363,11.13114,7.671756,7.686387,7.784102,5.787956,6.878873,7.544499,6.939951,9.005705,1.138884,0.8478545,1.765166,3.199548,3.624455,1.379574,1.908946,2.087891,4.097232,1.998921,3.220672,1.162265,2.161914,2.273637,1.860863,2.736413,1.933058,1.915205,1.28217,2.311463,2.584982,3.503252,1.46241,1.555961,1.931304,2.047736,1.715559,3.931307,2.394303,2.465825,0,1.43171,3.519575,2.80054,3.101826,2.434533,2.706971,2.832386,1.064609,3.790606,2.823201,3.619558,0.7195354,2.564263,2.777252,1.442976,2.128652,1.371816,1.241326,2.550118,11.60935,11.68803,12.08402,10.51481,9.553686,10.06779,10.78878,9.41345,10.14901,11.89011,9.340903,10.00772,9.915562,9.248446,11.34931,10.69045,10.99861,8.697457,9.493887,10.42024,11.27728,12.32766,12.07561,9.87526,11.52291,10.3276,9.832749,10.95214,11.0113,10.30727,10.11452,9.832751,10.2522,10.63745,9.165273,12.22389,9.990208,11.67198,8.346663,9.319709,11.10881,10.44991,12.92887,9.268211,10.59851,12.84772,11.53386,10.1029,10.21067,9.923022, + 12.52393,13.00384,13.07298,12.94234,10.92073,12.98307,12.02031,12.21028,12.6681,12.35337,12.4675,13.05485,11.49908,10.94934,10.83728,14.56259,11.42114,11.26343,12.83378,12.86537,11.2691,11.73853,11.07199,12.84998,12.06989,10.84616,11.32988,10.20279,12.15234,12.02062,11.89541,12.18096,10.63667,13.37327,11.51755,13.16909,11.02694,12.34799,11.2411,12.72254,12.30058,11.4021,11.58532,13.14351,11.55059,11.53175,12.94418,10.47262,12.65651,13.0164,7.682276,5.005413,4.919908,4.939963,6.426283,6.866982,7.113818,7.137782,5.888966,7.628178,4.97784,6.486,7.083326,7.870918,6.965597,6.038319,5.506733,7.17523,5.688178,5.426593,7.404057,7.020371,4.691292,4.240233,6.738996,6.734693,7.123371,6.727271,5.723089,5.512659,5.759276,5.426658,6.127772,6.59222,7.843896,5.937851,5.507454,5.3747,7.611406,8.096022,7.788073,9.773669,6.402002,6.420739,6.548632,4.375337,5.734948,6.248507,5.568014,7.793793,0.7010459,1.099185,0.9328013,1.808482,2.300656,0.6855302,0.5146908,0.6823418,2.706567,0.5673238,1.799507,2.25524,1.35958,0.9054771,0.9631841,1.909031,0.5366728,0.7091308,0.4065478,0.8798803,1.177415,2.409465,1.888311,1.248454,0.690809,1.853411,0.5899278,2.686372,2.087746,1.20347,1.43171,0,2.590925,1.49324,2.240169,1.003688,1.659114,2.154147,2.299373,3.069812,1.39153,2.219737,1.231492,1.86286,1.351343,1.559139,1.370429,0.875835,1.276265,1.150614,10.2199,10.27366,10.72677,9.169288,8.216782,8.67123,9.382792,8.06426,8.803463,10.51322,7.949895,8.621448,8.590042,7.865741,9.94767,9.279632,9.628037,7.333859,8.132767,9.100725,10.01046,10.96361,10.71835,8.526791,10.11623,8.962007,8.444857,9.57897,9.620248,8.920268,8.793789,8.40964,8.870089,9.366835,7.747657,10.85358,8.6595,10.35521,6.960285,7.944324,9.735573,9.097482,11.58454,8.091541,9.226015,11.50554,10.14574,8.700625,8.884541,8.608293, + 12.76788,13.21553,13.37382,12.86668,11.16329,13.29025,11.963,12.55204,12.679,12.54077,12.60987,13.07435,11.63438,10.79117,11.06384,14.74331,11.48665,11.62659,13.64095,13.31269,11.4858,12.26565,11.04693,12.6716,12.47079,11.20436,11.68083,10.70517,12.44741,11.93642,12.02009,12.47452,10.60079,13.58948,12.05116,13.19554,11.6571,12.22856,11.30013,12.66758,12.66293,11.79826,11.92057,13.0692,11.92465,11.74995,13.19826,10.79406,12.45644,13.28161,8.54358,4.595032,6.032094,5.330326,6.859014,7.303618,7.614406,8.002376,6.497725,7.905146,5.268531,7.092916,7.744565,7.813212,7.493361,6.130113,6.214008,8.087813,6.597773,6.504633,7.183105,7.427402,5.709699,5.240526,7.25715,7.213462,7.644952,7.204129,5.579163,5.566283,6.383009,6.344097,6.537335,6.712811,7.802928,6.877638,6.42588,6.667202,7.80565,8.619287,8.030388,9.692497,6.952208,6.985382,7.21417,4.321712,6.759701,6.703992,5.690992,8.450666,2.411864,3.619777,1.789893,2.864079,3.439995,3.266584,2.190394,2.56288,1.977454,2.378926,2.034112,4.630888,1.360803,2.718449,3.390929,4.113951,2.181676,1.884256,2.997472,2.274638,2.582158,4.120763,4.459952,1.999324,2.933588,4.406571,2.013538,3.958625,4.587791,1.50828,3.519575,2.590925,0,3.085958,4.331897,2.222029,3.686004,4.436762,3.741893,5.165446,2.278737,1.881314,2.850757,4.184012,2.087829,4.148499,1.391096,3.461366,3.861598,2.626211,8.618529,8.883768,8.934984,7.349656,6.380161,7.160616,7.931165,6.287496,6.991529,8.827673,6.421687,7.037483,6.697934,6.282662,8.443656,7.877945,7.923426,5.655227,6.413834,7.176001,7.906944,9.201676,8.926735,6.734648,8.652343,7.244988,6.877417,7.889895,8.042991,7.33276,6.879107,7.196827,7.251756,7.280257,6.482296,9.125811,6.786819,8.402577,5.441228,6.312,8.043617,7.311169,9.724142,5.801474,7.540892,9.637045,8.536881,7.236154,6.989046,6.674627, + 11.03659,11.51778,11.58245,11.48427,9.435961,11.49238,10.56281,10.71895,11.20019,10.86985,10.98723,11.58503,10.0215,9.511837,9.353808,13.07667,9.950718,9.772147,11.35878,11.37213,9.785444,10.24573,9.613808,11.40712,10.57719,9.355443,9.838952,8.709564,10.66286,10.56682,10.41785,10.69151,9.181919,11.88651,10.02478,11.69825,9.536605,10.89803,9.771968,11.26243,10.80859,9.909802,10.09473,11.68467,10.05876,10.0475,11.45583,8.983998,11.21789,11.52743,6.1999,3.76209,3.447897,3.481475,4.94355,5.381436,5.623667,5.653631,4.398026,6.152087,3.535812,4.993609,5.590167,6.440721,5.474699,4.608734,4.013895,5.695585,4.200915,3.955026,6.01514,5.536218,3.205985,2.750028,5.249166,5.247002,5.632331,5.239727,4.357538,4.104598,4.268191,3.938566,4.649462,5.147496,6.410953,4.454377,4.019859,3.944377,6.144731,6.603429,6.314595,8.330617,4.91181,4.929866,5.055401,3.053558,4.25906,4.7651,4.143215,6.301044,2.170425,2.138463,2.113067,0.538228,0.8242872,1.470169,1.306092,0.8486225,2.101782,1.057308,1.236645,3.269594,2.367075,0.6004246,1.082,1.156973,1.291689,1.655653,1.518805,0.9197145,0.5190911,1.068054,2.535899,2.600792,0.869626,1.954637,1.739341,1.19738,1.937038,1.658014,2.80054,1.49324,3.085958,0,1.27943,0.9123068,0.6840628,1.496851,3.765724,2.08637,0.8238269,1.67757,2.723557,1.329945,1.003937,2.138949,2.412147,1.571061,2.002082,0.4894441,9.2967,9.239402,9.906757,8.402506,7.490476,7.736268,8.398173,7.304562,8.042062,9.632374,7.047887,7.728148,7.888799,6.997345,8.977506,8.272313,8.777613,6.543045,7.334529,8.407128,9.431143,10.1205,9.898398,7.761151,9.121842,8.136378,7.54778,8.720448,8.696743,8.020289,8.101966,7.335534,7.988942,8.788848,6.718911,9.991527,7.9428,9.651491,6.095144,7.101239,8.875058,8.311189,10.79425,7.737102,8.374026,10.72197,9.22825,7.740442,8.176684,7.935562, + 10.84051,11.33081,11.34391,11.45956,9.277915,11.25183,10.54819,10.47332,11.13277,10.70938,10.84991,11.505,9.910333,9.582809,9.207396,12.88163,9.881482,9.534999,10.83647,11.05413,9.633225,9.902631,9.605769,11.44133,10.30041,9.131713,9.607322,8.417789,10.44516,10.5673,10.30318,10.47408,9.193119,11.69042,9.68242,11.61214,9.148008,10.91053,9.711218,11.23073,10.54937,9.65015,9.866243,11.65518,9.808576,9.887881,11.24602,8.792295,11.26828,11.31002,5.77147,4.403184,3.038447,3.651046,4.891441,5.289349,5.470719,5.250369,4.275926,6.110115,3.76818,4.815909,5.330669,6.588011,5.314027,4.820508,3.86261,5.256874,3.872499,3.517339,6.289324,5.452086,2.913428,2.560148,5.112173,5.137088,5.464691,5.131705,4.750461,4.407032,4.149533,3.631849,4.642474,5.284038,6.550032,4.079265,3.703347,3.3325,6.155725,6.377881,6.284471,8.397841,4.781035,4.78736,4.831337,3.623762,3.835465,4.71434,4.394217,6.003659,2.923333,2.266779,3.096788,1.701072,1.484172,1.788078,2.317021,1.846119,3.313204,2.067323,2.507555,3.096475,3.443807,1.639316,1.321662,0.3656688,2.312611,2.694839,2.020709,2.074124,1.753707,0.6823563,2.192155,3.486615,1.578748,1.367203,2.705847,1.350329,1.127824,2.852047,3.101826,2.240169,4.331897,1.27943,0,2.112268,0.6498262,0.429097,4.163581,0.8518694,2.10075,2.928015,3.3132,0.5710169,2.273849,1.880996,3.476551,1.739968,1.929786,1.707098,10.13148,9.974331,10.8152,9.362861,8.487664,8.581559,9.190816,8.283657,9.010205,10.49777,7.930981,8.607048,8.895908,7.906854,9.77563,9.045836,9.675365,7.514438,8.288056,9.412875,10.49027,11.01011,10.80695,8.730141,9.89627,9.059903,8.426477,9.612824,9.538278,8.889738,9.112114,8.058464,8.87349,9.853919,7.499115,10.868,8.940041,10.6393,7.024447,8.027391,9.76415,9.259685,11.71638,8.905115,9.275458,11.64929,10.06851,8.564322,9.176503,8.958594, + 11.68357,12.158,12.24753,12.03956,10.07343,12.15879,11.11786,11.39132,11.78025,11.5,11.60503,12.16984,10.63147,10.02609,9.986073,13.71463,10.53927,10.44557,12.14587,12.07496,10.41772,10.9645,10.17176,11.92966,11.26474,10.02512,10.5094,9.414472,11.3222,11.11347,11.02719,11.35058,9.732689,12.52962,10.74427,12.28575,10.27802,11.43589,10.35724,11.82277,11.48691,10.59291,10.76224,12.24155,10.73666,10.68183,12.10757,9.640994,11.73221,12.18255,6.980027,4.014227,4.26579,4.064435,5.586705,6.034055,6.299885,6.430697,5.08682,6.766437,4.081606,5.692494,6.312862,6.947425,6.156983,5.121894,4.725891,6.484618,4.975199,4.769698,6.452918,6.182082,3.995748,3.525318,5.925055,5.910603,6.314998,5.902604,4.766413,4.582233,4.959057,4.711458,5.278348,5.6879,6.922952,5.239565,4.794157,4.804929,6.732004,7.298014,6.92032,8.857883,5.591935,5.614791,5.772569,3.409512,5.063638,5.411976,4.650338,7.029756,1.519891,2.015831,1.280369,0.9475673,1.537377,1.406981,0.5635468,0.4546681,1.748861,0.4402835,0.8090685,3.201866,1.472484,0.5126748,1.303216,1.895249,0.5403993,0.8155606,1.269225,0.127521,0.3949385,1.980311,2.676568,1.808134,0.8379124,2.354137,0.9555237,2.016185,2.462603,0.7494183,2.434533,1.003688,2.222029,0.9123068,2.112268,0,1.46457,2.223409,3.248598,2.952841,0.3952942,1.25821,2.142624,1.984224,0.358479,2.293495,1.521871,1.586584,2.060368,0.4239845,9.239665,9.276962,9.769335,8.222756,7.278946,7.686976,8.391648,7.116967,7.85756,9.541693,6.970301,7.644714,7.660379,6.892524,8.959199,8.285373,8.66191,6.376598,7.175903,8.174605,9.123405,10.00099,9.760924,7.579124,9.124365,8.000404,7.467092,8.610975,8.639264,7.942724,7.867434,7.40832,7.896188,8.478667,6.749579,9.886523,7.725555,9.428692,5.98549,6.976638,8.767377,8.145746,10.63571,7.285681,8.258891,10.55838,9.166487,7.712329,7.953705,7.687189, + 11.10395,11.59076,11.62797,11.64227,9.520365,11.53668,10.72446,10.75926,11.33558,10.95584,11.08564,11.71445,10.13187,9.715195,9.444166,13.14745,10.08286,9.815187,11.24742,11.37436,9.873704,10.23237,9.776934,11.59529,10.60047,9.404741,9.885088,8.720688,10.71804,10.73626,10.52716,10.74688,9.353944,11.95518,10.0114,11.82467,9.496875,11.07424,9.908145,11.41647,10.84175,9.941041,10.14307,11.8405,10.09539,10.13239,11.51654,9.049468,11.41402,11.58419,6.127333,4.217378,3.35941,3.698692,5.063509,5.483961,5.695897,5.591782,4.476073,6.285586,3.786063,5.048067,5.60559,6.672657,5.541843,4.861129,4.071946,5.614581,4.167054,3.859065,6.308437,5.643989,3.175427,2.762625,5.327146,5.339192,5.696864,5.332854,4.698112,4.397626,4.346582,3.912987,4.790211,5.366223,6.638596,4.398172,3.990123,3.752682,6.305597,6.642649,6.455108,8.529038,4.990314,5.002352,5.085781,3.466109,4.174459,4.884178,4.410773,6.300279,2.357283,1.923368,2.473219,1.182859,1.182961,1.331576,1.680239,1.203431,2.781134,1.427083,1.917817,2.930085,2.805001,0.9903084,0.8464824,0.4729306,1.674316,2.05767,1.507991,1.424338,1.115943,0.7969706,2.096529,2.890058,0.9734366,1.389544,2.081839,1.293473,1.302816,2.202365,2.706971,1.659114,3.686004,0.6840628,0.6498262,1.46457,0,0.8128668,3.745169,1.498787,1.48109,2.36163,2.808305,0.6636953,1.644556,1.72191,2.839913,1.345924,1.670017,1.066521,9.857016,9.757536,10.49722,9.011375,8.111984,8.298683,8.939678,7.919157,8.653459,10.20552,7.624565,8.304286,8.514335,7.584562,9.522182,8.80549,9.362715,7.153611,7.939493,9.032675,10.07572,10.70377,10.48889,8.372537,9.656717,8.730822,8.123547,9.303351,9.259065,8.593045,8.7288,7.84493,8.567751,9.434965,7.251743,10.56947,8.564828,10.27161,6.688479,7.695222,9.456838,8.915468,11.39072,8.411699,8.960092,11.32037,9.790729,8.29397,8.799883,8.566798, + 11.22136,11.71251,11.71731,11.86276,9.66651,11.62501,10.95327,10.84664,11.53121,11.09575,11.23943,11.90153,10.30448,9.997049,9.597729,13.26056,10.28096,9.911122,11.15162,11.41375,10.02214,10.25923,10.01245,11.85078,10.66863,9.510668,9.984228,8.786753,10.8231,10.97399,10.6964,10.85203,9.6022,12.07032,10.03955,12.0078,9.496961,11.31819,10.1119,11.63333,10.92028,10.02234,10.24326,12.05768,10.18211,10.27539,11.62424,9.17677,11.67941,11.68694,6.123238,4.818727,3.416828,4.078839,5.302648,5.695191,5.868896,5.609991,4.682752,6.518804,4.196985,5.213713,5.714732,7.010634,5.711833,5.247902,4.268633,5.609351,4.255054,3.884547,6.71728,5.858243,3.310991,2.973229,5.513634,5.541532,5.86104,5.536376,5.179038,4.836112,4.557359,4.019854,5.058422,5.707831,6.972229,4.45228,4.089234,3.663829,6.569262,6.763021,6.693931,8.812872,5.184574,5.189533,5.222961,4.042255,4.201911,5.126296,4.822842,6.378788,2.801855,1.985306,3.059437,1.981193,1.855968,1.604004,2.32549,1.886138,3.589282,2.092409,2.729874,2.718572,3.441118,1.718692,1.192413,0.3405322,2.325552,2.696937,1.871096,2.162397,1.906172,1.106634,1.803495,3.396827,1.555565,0.9659988,2.675791,1.770474,0.7018775,2.932921,2.832386,2.154147,4.436762,1.496851,0.429097,2.223409,0.8128668,0,3.896695,0.9645178,2.284797,3.174336,3.12267,0.2936432,2.439659,1.522821,3.466796,1.514144,1.615417,1.852951,10.53302,10.38814,11.2049,9.740937,8.856234,8.98036,9.597498,8.656454,9.386231,10.89481,8.322955,9.000427,9.262299,8.294008,10.18201,9.454775,10.0663,7.88817,8.666674,9.780039,10.84278,11.40334,11.19663,9.105726,10.30566,9.44547,8.81972,10.00468,9.93842,9.284959,9.477885,8.472179,9.266132,10.20414,7.905842,11.26342,9.309006,11.01183,7.406604,8.411445,10.15669,9.640274,12.10393,9.212558,9.665414,12.03578,10.4692,8.966277,9.54501,9.320755, + 14.79833,15.2808,15.33817,15.24021,13.20019,15.24763,14.31824,14.47238,14.96262,14.63462,14.75287,15.34844,13.78715,13.24859,13.11871,16.83964,13.71429,13.52611,14.98524,15.10693,13.55023,13.96981,13.36969,15.14935,14.32314,13.11138,13.59408,12.44801,14.42131,14.31923,14.18351,14.45004,12.93503,15.64878,13.74874,15.46212,13.24,14.64707,13.53492,15.01989,14.55917,13.65906,13.85075,15.44121,13.81039,13.81196,15.21612,12.74445,14.95576,15.28668,9.872379,7.253885,7.103674,7.236224,8.709106,9.145937,9.382942,9.33584,8.156638,9.917293,7.276778,8.746457,9.327214,10.16997,9.232403,8.337591,7.765441,9.359741,7.903581,7.604177,9.69582,9.301316,6.907368,6.474777,9.009304,9.009957,9.389529,9.002826,8.011383,7.810235,8.026592,7.646339,8.414964,8.891295,10.14312,8.140134,7.72498,7.480448,9.905893,10.3532,10.07903,12.07302,8.671535,8.68811,8.798697,6.656988,7.9193,8.53054,7.867154,10.03008,1.745903,1.911508,2.240597,4.107602,4.586337,2.41391,2.687244,2.981709,4.755031,2.843778,3.971205,1.77861,2.501278,3.198635,2.900019,3.797949,2.711031,2.562166,2.265839,3.137448,3.474984,4.541906,2.412437,1.798482,2.903372,3.088285,2.36644,4.932219,3.437932,3.06836,1.064609,2.299373,3.741893,3.765724,4.163581,3.248598,3.745169,3.896695,0,4.853646,3.643503,4.308842,1.112157,3.628769,3.556886,2.472801,2.447781,2.427251,2.296961,3.449774,12.18529,12.33355,12.59028,11.00774,10.03831,10.668,11.41111,9.920183,10.64428,12.43667,9.931684,10.5838,10.37884,9.821175,11.95719,11.32777,11.53605,9.235848,10.0217,10.8704,11.64382,12.84604,12.58193,10.37747,12.14445,10.85872,10.41348,11.49511,11.59357,10.88343,10.56871,10.51943,10.81773,11.01367,9.832342,12.75529,10.4614,12.11024,8.933752,9.87659,11.65114,10.95558,13.40774,9.53809,11.1419,13.3231,12.10697,10.71783,10.67285,10.36919, + 10.44663,10.93942,10.92096,11.16874,8.919988,10.82822,10.27023,10.0516,10.81708,10.33838,10.49234,11.17896,9.576252,9.368382,8.857444,12.47708,9.574157,9.12562,10.25061,10.58512,9.275737,9.426068,9.34001,11.18829,9.860967,8.734198,9.200736,7.985292,10.04071,10.29886,9.963732,10.0696,8.943805,11.29133,9.207913,11.28162,8.650025,10.64723,9.410782,10.93699,10.11887,9.226006,9.459493,11.36009,9.388962,9.52362,10.84116,8.418056,11.02682,10.90013,5.293047,4.676192,2.691751,3.656518,4.685153,5.04281,5.178514,4.800404,4.048921,5.874275,3.807257,4.528591,4.972379,6.466454,5.021337,4.792856,3.638018,4.783797,3.525438,3.114639,6.258979,5.205854,2.663966,2.427269,4.841569,4.88364,5.162981,4.879692,4.845827,4.457268,3.931204,3.314064,4.476238,5.189586,6.423827,3.689569,3.374286,2.816728,5.953669,6.016707,6.052406,8.19401,4.526388,4.524628,4.512514,3.88961,3.424477,4.515846,4.411047,5.60403,3.739398,2.942754,3.943153,2.435417,2.068287,2.560494,3.168263,2.697978,4.012245,2.919105,3.280354,3.575684,4.295114,2.489082,2.124203,1.160785,3.164109,3.546001,2.817568,2.920503,2.583298,1.174874,2.657337,4.318262,2.423303,1.830263,3.552939,1.738172,1.494818,3.697101,3.790606,3.069812,5.165446,2.08637,0.8518694,2.952841,1.498787,0.9645178,4.853646,0,2.908861,3.670142,4.084239,1.250221,3.090212,2.434194,4.327329,2.47789,2.561568,2.539969,10.44623,10.21475,11.18365,9.782063,8.943218,8.91668,9.480712,8.726063,9.438177,10.83394,8.301289,8.967666,9.356751,8.297706,10.06494,9.322703,10.04232,7.957646,8.709902,9.869252,10.98724,11.36245,11.17555,9.160852,10.16679,9.451693,8.788572,9.975987,9.862491,9.240622,9.57407,8.308324,9.236189,10.35913,7.797604,11.21071,9.392382,11.07384,7.440294,8.429999,10.12368,9.66999,12.09138,9.512439,9.648184,12.02885,10.38791,8.883399,9.629408,9.43239, + 11.31625,11.789,11.88422,11.65605,9.704836,11.79585,10.7346,11.03024,11.40035,11.12915,11.23168,11.79055,10.25708,9.638418,9.616422,13.34461,10.16118,10.08529,11.82542,11.72203,10.04783,10.61721,9.789244,11.54231,10.9078,9.664136,10.14831,9.063867,10.95792,10.72913,10.65251,10.98621,9.349392,12.1611,10.39736,11.90685,9.939174,11.05037,9.978709,11.44,11.12734,10.23512,10.40026,11.85819,10.37739,10.31223,11.74115,9.277126,11.34407,11.81688,6.661446,3.619545,3.976504,3.693965,5.224559,5.673279,5.944772,6.111759,4.738265,6.395941,3.704561,5.345345,5.972164,6.560517,5.803848,4.737766,4.386012,6.1714,4.659148,4.475953,6.06063,5.81939,3.692158,3.217978,5.5706,5.552866,5.961665,5.544695,4.37364,4.195063,4.611542,4.395829,4.913619,5.30645,6.536635,4.927817,4.478834,4.544864,6.356485,6.946556,6.547941,8.472094,5.239437,5.263622,5.431191,3.015781,4.762799,5.051137,4.266339,6.689858,1.911322,2.365014,1.625831,0.6417813,1.251542,1.72813,0.956962,0.7767105,1.44271,0.8242881,0.4913042,3.551829,1.752147,0.713387,1.537747,1.945409,0.9334413,1.171574,1.626751,0.5128844,0.3982297,1.842399,2.973017,2.164141,1.108338,2.564026,1.330685,1.758254,2.625087,0.9478814,2.823201,1.39153,2.278737,0.8238269,2.10075,0.3952942,1.48109,2.284797,3.643503,2.908861,0,0.9638517,2.536526,2.08024,0.1956309,2.580668,1.807695,1.894296,2.36908,0.4564295,8.886723,8.907189,9.434443,7.89696,6.960418,7.331079,8.02853,6.791792,7.532573,9.195991,6.619194,7.295681,7.347082,6.547111,8.598645,7.918822,8.321012,6.044803,6.84345,7.863107,8.835913,9.662068,9.426038,7.253142,8.760246,7.663524,7.117273,8.268622,8.285915,7.592794,7.556142,7.031978,7.549425,8.191322,6.378665,9.544226,7.40921,9.115697,5.639616,6.635792,8.424768,7.816218,10.30659,7.049364,7.917465,10.23047,8.81444,7.35245,7.639244,7.379683, + 11.04436,11.50423,11.6355,11.25852,9.431975,11.54972,10.3427,10.7984,11.03587,10.83435,10.91889,11.42985,9.940722,9.205309,9.336912,13.04808,9.81674,9.862636,11.79079,11.53369,9.764439,10.4635,9.408328,11.10568,10.70056,9.439567,9.920518,8.901569,10.70685,10.32683,10.33221,10.73453,8.963359,11.87827,10.2467,11.54898,9.831008,10.63514,9.631449,11.05009,10.90399,10.02626,10.16585,11.46146,10.15918,10.02956,11.47345,9.037177,10.89893,11.5537,6.672376,3.02822,4.157705,3.495258,5.039584,5.488642,5.789184,6.128919,4.642521,6.137158,3.453904,5.243732,5.892455,6.157252,5.661644,4.391795,4.344383,6.211339,4.717435,4.625632,5.586842,5.620524,3.83147,3.364701,5.424925,5.388544,5.815859,5.3795,3.916557,3.828008,4.52457,4.463128,4.718638,4.975855,6.140279,4.997046,4.545015,4.805621,6.060948,6.79805,6.273793,8.065978,5.110989,5.142027,5.357465,2.580465,4.878612,4.877816,3.932951,6.603999,2.573654,3.271128,2.09747,1.235924,1.692928,2.662982,1.715301,1.704817,0.4908249,1.684907,0.4726073,4.454895,2.008488,1.675848,2.501311,2.834543,1.691617,1.749246,2.52321,1.384194,1.357367,2.516503,3.924936,2.619267,2.063742,3.525321,1.948642,2.189579,3.572129,1.253515,3.619558,2.219737,1.881314,1.67757,2.928015,1.25821,2.36163,3.174336,4.308842,3.670142,0.9638517,0,3.203542,2.998411,0.9023623,3.536048,2.072477,2.838428,3.313527,1.415585,8.000334,8.069405,8.514603,6.965233,6.020738,6.452961,7.169617,5.859439,6.599918,8.294342,5.73036,6.401716,6.402508,5.646312,7.731712,7.070981,7.410982,5.121311,5.920638,6.917041,7.87617,8.74839,8.506191,6.321706,7.903638,6.74711,6.225132,7.361153,7.400837,6.700533,6.609886,6.224726,6.650615,7.231455,5.549554,8.636248,6.467404,8.170952,4.740604,5.726423,7.517696,6.889185,9.378762,6.090381,7.008499,9.301126,7.926069,6.484887,6.695712,6.430464, + 13.75508,14.23471,14.30447,14.16192,12.15133,14.21456,13.23986,13.4417,13.89227,13.58357,13.69664,14.2798,12.72734,12.15962,12.06754,15.79339,12.64659,12.49485,14.04146,14.09491,12.49939,12.9663,12.29215,14.06205,13.30074,12.07764,12.56134,11.43258,13.3838,13.23842,13.12363,13.41241,11.85541,14.6043,12.74528,14.39446,12.25086,13.56381,12.46605,13.94313,13.53183,12.63322,12.8168,14.3634,12.7819,12.76219,14.17551,11.70401,13.86649,14.2478,8.898923,6.142337,6.131722,6.164135,7.656727,8.097977,8.345308,8.356314,7.120395,8.856519,6.196492,7.717044,8.312375,9.080308,8.197043,7.250221,6.737451,8.389868,6.91033,6.637161,8.594901,8.251067,5.912653,5.465917,7.970487,7.966033,8.354802,7.958592,6.908826,6.717138,6.990685,6.649709,7.357154,7.809402,9.054565,7.156618,6.730014,6.559077,8.836431,9.326952,9.015495,10.98736,7.633489,7.652182,7.778494,5.552097,6.948106,7.479125,6.779006,9.021705,0.6339045,1.280828,1.175109,3.024256,3.531773,1.527627,1.579568,1.905956,3.657235,1.750053,2.85924,1.881796,1.514165,2.136404,1.994689,2.95415,1.603097,1.454438,1.302168,2.03479,2.389676,3.59138,2.070446,0.8571022,1.888683,2.493242,1.256591,3.912819,2.817854,1.974504,0.7195354,1.231492,2.850757,2.723557,3.3132,2.142624,2.808305,3.12267,1.112157,4.084239,2.536526,3.203542,0,2.834057,2.445546,1.947185,1.472129,1.610675,1.684323,2.369195,11.12398,11.24876,11.5583,9.980568,9.013993,9.596722,10.33295,8.885561,9.615663,11.38715,8.863079,9.521195,9.365191,8.759101,10.8842,10.24486,10.48965,8.186715,8.977955,9.863807,10.68324,11.80882,11.54992,9.345401,11.06701,9.814411,9.348985,10.44637,10.52947,9.821054,9.559774,9.422754,9.75937,10.04693,8.740037,11.71236,9.443977,11.11087,7.865383,8.82071,10.60279,9.922527,12.3891,8.63457,10.0927,12.30609,11.04668,9.641595,9.660058,9.364075, + 11.41114,11.90134,11.91492,12.02275,9.84731,11.82285,11.1102,11.04434,11.69863,11.27919,11.419,12.07169,10.47806,10.13629,9.776358,13.45241,10.44693,10.10597,11.3927,11.62409,10.20253,10.47207,10.1667,11.9997,10.87127,9.702546,10.17827,8.988661,11.01604,11.12812,10.8712,11.04496,9.75212,12.26113,10.25194,12.17919,9.715818,11.47054,10.27605,11.79432,11.12035,10.22116,10.43718,12.21878,10.37959,10.45749,11.81687,9.362514,11.82503,11.88095,6.339604,4.82246,3.609463,4.17414,5.449749,5.851875,6.037434,5.819991,4.83823,6.670169,4.281297,5.38296,5.901152,7.127842,5.88094,5.344337,4.425723,5.825085,4.443281,4.087762,6.80804,6.014331,3.481412,3.118905,5.677422,5.700601,6.032151,5.695074,5.238359,4.91178,4.711176,4.201991,5.195569,5.821611,7.090915,4.650208,4.273794,3.893478,6.710982,6.94813,6.843802,8.950565,5.345242,5.352342,5.400442,4.056472,4.405854,5.27201,4.908695,6.574676,2.508224,1.720477,2.772617,1.844417,1.809137,1.312251,2.050456,1.623906,3.43147,1.823505,2.542417,2.526972,3.159867,1.473428,0.9001709,0.2588584,2.051678,2.418696,1.577586,1.914531,1.690867,1.174401,1.627766,3.104052,1.27868,0.8201766,2.391018,1.807522,0.6536029,2.676634,2.564263,1.86286,4.184012,1.329945,0.5710169,1.984224,0.6636953,0.2936432,3.628769,1.250221,2.08024,2.998411,2.834057,0,2.223606,1.310007,3.184086,1.228841,1.367154,1.635308,10.49895,10.38074,11.15002,9.669844,8.773334,8.942305,9.574243,8.579173,9.31261,10.85231,8.27383,8.952992,9.17632,8.237332,10.15774,9.436471,10.01407,7.812923,8.597229,9.694611,10.73941,11.35409,11.14171,9.031742,10.28783,9.385375,8.772215,9.953983,9.902099,9.240391,9.390967,8.465857,9.217267,10.09866,7.884099,11.21792,9.226211,10.93244,7.343538,8.350007,10.10703,9.572773,12.04525,9.066945,9.611914,11.97551,10.43356,8.934069,9.461446,9.229585, + 11.46083,11.93195,12.03221,11.78152,9.848508,11.94416,10.86059,11.18016,11.53111,11.27039,11.37033,11.92207,10.39474,9.756779,9.759103,13.4864,10.29451,10.23598,11.99798,11.87778,10.1902,10.77669,9.916549,11.66101,11.06085,9.814351,10.29835,9.221558,11.10522,10.85338,10.78978,11.13345,9.475588,12.30447,10.55711,12.03887,10.10353,11.17258,10.1115,11.56664,11.27841,10.38767,10.54955,11.98387,10.5288,10.45483,11.88649,9.425075,11.46117,11.96287,6.835667,3.697006,4.161028,3.838744,5.375368,5.824913,6.100431,6.286029,4.898889,6.538729,3.842188,5.506436,6.136593,6.681256,5.96092,4.864477,4.551807,6.347764,4.835188,4.659046,6.168135,5.969426,3.873016,3.39815,5.726899,5.706857,6.11853,5.698564,4.480466,4.316783,4.772887,4.572191,5.062502,5.436872,6.658505,5.105228,4.655251,4.734904,6.493947,7.104262,6.688754,8.59431,5.397236,5.42227,5.595513,3.120171,4.943765,5.203089,4.393665,6.854432,1.813996,2.374271,1.479499,0.8321064,1.441318,1.760624,0.8771362,0.8027483,1.392361,0.7953289,0.4511928,3.560342,1.576272,0.7994239,1.621669,2.102275,0.8528891,1.03859,1.62768,0.4858281,0.5338017,2.035057,3.024864,2.021411,1.16978,2.663893,1.212136,1.950797,2.745858,0.7615995,2.777252,1.351343,2.087829,1.003937,2.273849,0.358479,1.644556,2.439659,3.556886,3.090212,0.1956309,0.9023623,2.445546,2.223606,0,2.638183,1.633387,1.936851,2.41172,0.5884364,8.881828,8.92339,9.41106,7.865252,6.922404,7.329616,8.035828,6.759486,7.500138,9.183288,6.612332,7.286532,7.304777,6.53414,8.602693,7.930636,8.303432,6.018446,6.817732,7.81939,8.774354,9.642548,9.402649,7.221571,8.768788,7.642011,7.108981,8.2525,8.281495,7.584608,7.512237,7.058387,7.537851,8.129594,6.39677,9.528045,7.369407,9.073262,5.627149,6.618159,8.408903,7.787845,10.27791,6.955737,7.900412,10.2007,8.808549,7.35574,7.597908,7.332765, + 12.72082,13.21087,13.22486,13.31952,11.15515,13.13277,12.405,12.35426,13.00027,12.58766,12.72629,13.37479,11.78308,11.41587,11.08351,14.76227,11.748,11.41598,12.67057,12.93113,11.5102,11.77795,11.4598,13.28757,12.18055,11.01246,11.48827,10.29801,12.326,12.42075,12.1767,12.35492,11.04188,13.57091,11.55802,13.4829,11.01821,12.76157,11.57607,13.09186,12.43005,11.53097,11.74718,13.51629,11.68952,11.76565,13.12681,10.67164,13.10994,13.19094,7.643295,5.88998,4.919419,5.415422,6.741104,7.14952,7.341524,7.126716,6.136289,7.963295,5.506719,6.687752,7.210707,8.386047,7.185375,6.580598,5.72533,7.129066,5.753177,5.396306,8.030224,7.311429,4.788195,4.414672,6.979391,6.999879,7.337377,6.994132,6.416058,6.119495,6.008376,5.511221,6.479116,7.078804,8.351008,5.959844,5.583362,5.186629,7.996099,8.257354,8.135612,10.22947,6.645791,6.654058,6.708195,5.159585,5.714292,6.562573,6.132057,7.88462,1.90823,0.6673035,2.421226,2.661784,2.869505,0.910181,2.014438,1.838983,4.021479,1.915142,3.067666,1.223353,2.870054,1.869911,1.071861,1.54337,2.030174,2.26822,1.153404,2.174588,2.208993,2.439923,0.3987694,2.528217,1.472969,0.6183636,2.136923,3.012049,0.9688009,2.736058,1.442976,1.559139,4.148499,2.138949,1.880996,2.293495,1.72191,1.522821,2.472801,2.434194,2.580668,3.536048,1.947185,1.310007,2.638183,0,2.867643,0.716636,0.2943361,2.153891,11.41627,11.37652,11.9974,10.47021,9.538442,9.856179,10.52873,9.366137,10.10662,11.74156,9.157998,9.837439,9.926809,9.097457,11.10626,10.40602,10.87628,8.614298,9.411441,10.44318,11.41193,12.21912,11.98901,9.826616,11.25453,10.22543,9.657721,10.82154,10.81555,10.13201,10.13628,9.47416,10.09534,10.76718,8.85366,12.0958,9.98798,11.69526,8.19122,9.193456,10.97705,10.38631,12.87571,9.571641,10.47237,12.80081,11.34638,9.865766,10.2186,9.9603, + 13.05467,13.5213,13.63404,13.31727,11.44117,13.54676,12.39941,12.78669,13.0849,12.85562,12.94828,13.4779,11.97074,11.27064,11.34932,15.07175,11.8578,11.84461,13.63128,13.49563,11.77924,12.40077,11.46119,13.17258,12.67394,11.4222,11.90559,10.84336,12.70589,12.38622,12.36426,12.73394,11.01731,13.89469,12.1816,13.59616,11.73344,12.69772,11.67337,13.10672,12.88738,12.00001,12.15503,13.52012,12.13879,12.04429,13.48197,11.02823,12.96708,13.55994,8.468376,5.1002,5.778063,5.443794,6.98823,7.438684,7.720629,7.918702,6.526362,8.133118,5.432505,7.134088,7.76716,8.212277,7.583306,6.422,6.183675,7.979047,6.466708,6.279684,7.655453,7.580083,5.498625,5.024997,7.348343,7.324763,7.740513,7.316281,5.978753,5.863399,6.40117,6.203446,6.672323,7.002234,8.193327,6.735506,6.286461,6.326373,8.075205,8.726904,8.278127,10.12445,7.021014,7.047126,7.226125,4.629064,6.568942,6.818183,5.955531,8.484974,1.030869,2.284518,0.4470887,2.441841,3.046934,2.049733,1.16,1.638116,2.44369,1.413208,1.891743,3.244952,0.06401415,1.868686,2.302661,3.184712,1.165601,0.7822774,1.756938,1.493346,1.910052,3.470743,3.141976,0.649821,1.914017,3.220541,0.7960529,3.536195,3.457477,0.887721,2.128652,1.370429,1.391096,2.412147,3.476551,1.521871,2.839913,3.466796,2.447781,4.327329,1.807695,2.072477,1.472129,3.184086,1.633387,2.867643,0,2.232429,2.57389,1.927721,9.749327,9.927315,10.14272,8.559986,7.590526,8.242976,8.994544,7.47326,8.196591,9.993552,7.504459,8.149986,7.931982,7.387619,9.532942,8.919326,9.09193,6.794012,7.57714,8.42508,9.220642,10.39914,10.13438,7.93011,9.726013,8.414058,7.981513,9.051958,9.160281,8.449174,8.122779,8.147783,8.380412,8.586337,7.448722,10.30973,8.014038,9.667304,6.507726,7.438236,9.20777,8.508274,10.96048,7.162441,8.699101,10.87604,9.670272,8.299301,8.226177,7.924144, + 12.44944,12.936,12.97386,12.97295,10.86439,12.88256,12.05374,12.1051,12.67193,12.29999,12.42843,13.05221,11.47268,11.02914,10.78754,14.49293,11.4195,11.1611,12.5599,12.71738,11.21742,11.5736,11.10534,12.91607,11.9456,10.75065,11.23101,10.06531,12.0639,12.06315,11.86826,12.09275,10.67932,13.30068,11.35272,13.16307,10.83361,12.39905,11.24381,12.74819,12.18736,11.28666,11.48899,13.17186,11.44118,11.4765,12.86231,10.39483,12.73169,12.93005,7.460251,5.326249,4.696973,4.997487,6.398943,6.823381,7.039659,6.928197,5.817994,7.61948,5.068838,6.392925,6.951316,7.971068,6.885992,6.145878,5.415643,6.946434,5.510462,5.192838,7.570607,6.982646,4.520601,4.107826,6.669999,6.680136,7.041329,6.673648,5.923241,5.656855,5.688275,5.257516,6.120068,6.668958,7.939067,5.738129,5.334198,5.0541,7.631999,7.988551,7.787435,9.844247,6.332784,6.345546,6.431661,4.624567,5.509587,6.219516,5.685835,7.644844,1.367106,0.5834969,1.787164,2.058242,2.366827,0.1963811,1.302433,1.134224,3.326879,1.199002,2.3746,1.70436,2.22665,1.196595,0.5141799,1.374596,1.317274,1.577178,0.475717,1.465154,1.541632,2.138183,1.090545,1.992211,0.7920328,0.9928328,1.465262,2.608077,1.264918,2.024772,1.371816,0.875835,3.461366,1.571061,1.739968,1.586584,1.345924,1.514144,2.427251,2.47789,1.894296,2.838428,1.610675,1.228841,1.936851,0.716636,2.232429,0,0.4753011,1.489897,10.7672,10.75621,11.32754,9.791229,8.853509,9.208833,9.893948,8.685999,9.426789,11.08342,8.503018,9.181055,9.238497,8.435737,10.46826,9.777122,10.2118,7.938867,8.73735,9.753836,10.70989,11.5536,11.31914,9.147408,10.62293,9.556196,9.00202,10.1586,10.16623,9.477174,9.446744,8.863409,9.436599,10.06515,8.228672,11.43394,9.301717,11.00717,7.528416,8.527052,10.31455,9.710418,12.20076,8.856702,9.808064,12.12473,10.69599,9.224324,9.531135,9.268414, + 12.7433,13.23198,13.25636,13.30836,11.16849,13.16458,12.39139,12.38625,12.99739,12.60292,12.73707,13.37464,11.78791,11.38521,11.09451,14.78624,11.74463,11.44513,12.75966,12.97839,11.52279,11.82871,11.44437,13.26473,12.21856,11.03842,11.51642,10.33612,12.35238,12.40419,12.18256,12.38128,11.0225,13.59416,11.60829,13.48403,11.07683,12.74281,11.57091,13.08197,12.46485,11.56472,11.77503,13.50617,11.7216,11.77996,13.15242,10.6909,13.08386,13.21814,7.700169,5.764171,4.955652,5.365286,6.728225,7.14435,7.347408,7.176643,6.133408,7.950835,5.447027,6.696018,7.235017,8.340313,7.192197,6.523753,5.725648,7.185546,5.782599,5.441508,7.962077,7.305228,4.804964,4.413384,6.981546,6.997428,7.345832,6.991342,6.329592,6.048248,6.004501,5.53552,6.458186,7.034558,8.306728,5.99848,5.609734,5.260157,7.974298,8.278585,8.121286,10.19905,6.645945,6.656225,6.724496,5.049237,5.759595,6.549076,6.069047,7.918009,1.615691,0.4102906,2.127687,2.507601,2.770626,0.655679,1.745554,1.608981,3.802128,1.664298,2.849899,1.274177,2.576819,1.66802,0.9201731,1.573309,1.762445,1.984968,0.8734512,1.938014,2.012262,2.430274,0.6226158,2.237446,1.264135,0.8177948,1.84855,2.961382,1.157885,2.464462,1.241326,1.276265,3.861598,2.002082,1.929786,2.060368,1.670017,1.615417,2.296961,2.561568,2.36908,3.313527,1.684323,1.367154,2.41172,0.2943361,2.57389,0.4753011,0,1.959483,11.23654,11.21721,11.80121,10.26602,9.328715,9.677613,10.35933,9.160872,9.901653,11.55489,8.9736,9.652017,9.713797,8.907785,10.93463,10.24073,10.6845,8.413197,9.211539,10.22913,11.1837,12.02654,11.7928,9.622207,11.08745,10.0297,9.472813,10.63101,10.63559,9.947807,9.922042,9.320924,9.908099,10.53898,8.690817,11.9062,9.776978,11.48247,8.000604,9.000009,10.78688,10.18487,12.67516,9.321304,10.28071,12.59926,11.16566,9.691529,10.00643,9.743656, + 11.39468,11.87251,11.95024,11.79421,9.788286,11.86083,10.87215,11.09025,11.52309,11.21902,11.32994,11.91061,10.35961,9.798825,9.703337,13.43074,10.27746,10.14359,11.78975,11.75957,10.13522,10.64111,9.924112,11.69968,10.95638,9.724714,10.20886,9.097041,11.02729,10.87171,10.75584,11.05581,9.488101,12.24289,10.42046,12.0253,9.943529,11.19844,10.09687,11.57494,11.18304,10.2864,10.46321,11.99554,10.43269,10.39849,11.81658,9.346381,11.50599,11.88998,6.62544,3.894241,3.890911,3.794958,5.294306,5.738066,5.993357,6.07717,4.772534,6.489223,3.828884,5.374619,5.984737,6.720317,5.847452,4.887817,4.40027,6.125464,4.621455,4.396941,6.256742,5.88944,3.633275,3.168183,5.618152,5.609351,6.005497,5.601674,4.578655,4.362448,4.643564,4.357966,4.991857,5.44285,6.693356,4.881094,4.440145,4.41043,6.467285,6.984014,6.647313,8.623562,5.282549,5.303233,5.446354,3.237838,4.69592,5.117531,4.417432,6.699504,1.777948,2.000716,1.647443,0.6578707,1.185813,1.340163,0.8567217,0.4685722,1.886943,0.6296398,0.9436816,3.178783,1.881288,0.2955426,1.094876,1.51694,0.8390292,1.184013,1.292351,0.4347644,0.0583208,1.557327,2.55006,2.153256,0.6986981,2.109782,1.287445,1.633417,2.1692,1.172513,2.550118,1.150614,2.626211,0.4894441,1.707098,0.4239845,1.066521,1.852951,3.449774,2.539969,0.4564295,1.415585,2.369195,1.635308,0.5884364,2.153891,1.927721,1.489897,1.959483,0,9.277531,9.270912,9.84514,8.316332,7.385801,7.718995,8.404907,7.21236,7.952797,9.595542,7.014122,7.692547,7.775756,6.948871,8.978716,8.28937,8.72631,6.460531,7.257902,8.292667,9.277588,10.06872,9.836744,7.672754,9.134411,8.073277,7.513331,8.67241,8.676564,7.988327,7.985981,7.383072,7.948782,8.633246,6.742532,9.947396,7.835831,9.543777,6.041876,7.04238,8.828188,8.232553,10.72215,7.504396,8.32246,10.64709,9.206461,7.73454,8.067004,7.811903, + 8.723632,8.923729,9.329242,7.738995,7.735488,9.291451,7.203474,8.905331,7.894182,8.385297,8.281788,8.194197,7.646088,6.199072,7.628384,9.952294,7.327326,8.399342,11.21558,9.772626,7.830667,9.337638,6.780137,7.269697,9.049149,8.141243,8.390889,8.347497,8.681804,7.097516,7.843996,8.694404,6.516771,9.203952,9.223788,8.302207,9.303028,7.166547,7.199824,7.670129,9.046921,8.611394,8.483224,7.885175,8.614748,7.990654,9.051565,7.800086,7.05237,9.146623,8.521525,5.770073,8.55469,7.026051,6.990739,7.031368,7.247918,8.353375,7.41947,6.657848,6.835079,7.461282,7.718801,5.661075,7.303773,6.195977,7.645223,8.514845,8.159884,8.550598,5.202942,6.963746,8.317379,8.266494,7.245817,7.135676,7.311348,7.129645,5.807704,6.248313,7.452136,8.14632,6.929844,6.18544,5.710682,8.280433,8.158282,9.104726,6.404255,7.547217,6.57576,5.979907,7.299595,7.339869,7.631698,6.556768,8.469362,7.044735,6.36728,7.892226,10.51813,11.2509,9.953806,8.762485,8.690341,10.61076,9.714598,9.66318,7.515786,9.67652,8.430701,12.43805,9.69255,9.570683,10.34441,10.25618,9.691087,9.70269,10.50773,9.367186,9.225568,9.460465,11.81498,10.39281,9.975263,11.23545,9.904515,8.794894,11.15184,9.159436,11.60935,10.2199,8.618529,9.2967,10.13148,9.239665,9.857016,10.53302,12.18529,10.44623,8.886723,8.000334,11.12398,10.49895,8.881828,11.41627,9.749327,10.7672,11.23654,9.277531,0,0.9605936,1.020556,1.52754,2.358899,1.56048,1.001715,2.374805,1.790801,0.4728093,2.270007,1.602879,2.200955,2.364917,0.4900654,1.197778,0.7992293,2.964476,2.215859,1.968462,2.60163,1.034896,1.016051,1.979596,0.6178844,1.417621,1.776656,0.7946509,0.6009706,1.303014,2.12767,2.233904,1.369605,2.613321,2.649376,0.8412671,2.086452,1.75041,3.262734,2.312283,0.6740175,1.475472,1.828743,4.154532,1.10617,1.803195,0.08559222,1.567219,1.996058,2.324925, + 7.773961,7.967622,8.375997,6.778467,6.82302,8.339397,6.247333,7.966323,6.934852,7.435121,7.328153,7.233744,6.708843,5.259227,6.717725,8.992281,6.387672,7.484918,10.3015,8.82968,6.90506,8.423209,5.844381,6.310154,8.11698,7.24052,7.473504,7.485992,7.740878,6.140506,6.897785,7.752865,5.595513,8.245553,8.315966,7.341656,8.419576,6.206517,6.264434,6.709716,8.107612,7.695458,7.557556,6.925038,7.692933,7.058032,8.097588,6.911448,6.092366,8.192421,7.848739,5.571503,8.145749,6.674309,6.446066,6.434912,6.622301,7.726849,6.926928,5.981825,6.492569,6.900696,7.094699,4.971551,6.693374,5.739746,7.190986,7.886447,7.675661,8.089623,4.597277,6.351135,7.937471,7.93887,6.660476,6.552413,6.684335,6.547308,5.44184,5.872398,6.97387,7.69001,6.423493,5.648567,5.023451,7.769437,7.693164,8.647649,5.732698,6.826834,5.88314,5.101704,6.750896,6.788344,7.062499,6.354656,7.977807,6.519891,5.971535,7.202152,10.62891,11.26652,10.09297,8.715203,8.576872,10.61106,9.780066,9.681537,7.598114,9.717124,8.474171,12.44919,9.867959,9.566361,10.30855,10.13071,9.756072,9.805234,10.53375,9.40383,9.221976,9.294438,11.77443,10.5596,9.968827,11.14622,10.0069,8.625169,11.03377,9.2743,11.68803,10.27366,8.883768,9.239402,9.974331,9.276962,9.757536,10.38814,12.33355,10.21475,8.907189,8.069405,11.24876,10.38074,8.92339,11.37652,9.927315,10.75621,11.21721,9.270912,0.9605936,0,1.922989,2.300015,2.94356,1.745258,0.9637324,2.880793,2.471041,1.365174,2.471603,1.931343,2.897304,2.633745,0.6289849,1.008481,1.604134,3.295969,2.672868,2.782939,3.548303,1.847237,1.920255,2.582513,0.3780668,2.032281,2.05976,1.561762,1.10464,1.676838,2.877653,1.915963,1.799297,3.504157,2.528859,1.647641,2.78347,2.711003,3.442595,2.64657,1.504792,2.203169,2.594322,4.920531,1.746442,2.593445,1.006565,1.650433,2.753479,3.049814, + 9.690631,9.873618,10.28776,8.649808,8.740113,10.253,8.154433,9.888797,8.829029,9.351374,9.239728,9.115825,8.631676,7.181804,8.633919,10.85023,8.310151,9.403028,12.21981,10.75082,8.82695,10.34146,7.767353,8.166728,10.03993,9.151306,9.392846,9.366729,9.662886,8.045324,8.817535,9.674677,7.515923,10.14357,10.23101,9.220662,10.31868,8.096037,8.187411,8.59333,10.03001,9.614249,9.479527,8.787763,9.61387,8.980982,10.00819,8.814083,7.954843,10.10255,9.509551,6.526005,9.418002,7.86533,7.932008,7.994568,8.221785,9.324793,8.333873,7.650528,7.670427,8.407715,8.690807,6.660171,8.271621,7.099646,8.538589,9.486643,9.066594,9.443252,6.177678,7.933537,9.164775,9.081868,8.203701,8.093093,8.28556,8.086696,6.66669,7.108493,8.359125,9.038273,7.853559,7.127346,6.70902,9.200304,9.054921,9.99297,7.396185,8.550957,7.573534,6.995869,8.241343,8.282727,8.581312,7.304226,9.378596,7.976647,7.237491,8.88685,10.97008,11.78492,10.38321,9.368845,9.350531,11.16231,10.21488,10.20593,8.024385,10.19949,8.962844,12.96949,10.089,10.13389,10.92884,10.91447,10.192,10.16893,11.03736,9.896305,9.791027,10.15523,12.39464,10.79179,10.53715,11.85892,10.36918,9.497237,11.79912,9.619127,12.08402,10.72677,8.934984,9.906757,10.8152,9.769335,10.49722,11.2049,12.59028,11.18365,9.434443,8.514603,11.5583,11.15002,9.41106,11.9974,10.14272,11.32754,11.80121,9.84514,1.020556,1.922989,0,1.585613,2.555982,2.291162,1.94903,2.672794,1.94669,0.5609335,2.885763,2.216027,2.249848,2.912732,1.507734,2.159544,1.141538,3.393376,2.594147,1.823179,1.923271,0.2976633,0.008413377,2.213253,1.623548,1.771984,2.395124,1.207961,1.426411,1.948979,2.090995,3.155037,1.947464,2.167028,3.452591,0.3686392,2.153859,0.9717473,3.811636,2.805725,1.063157,1.635775,0.9102196,3.903118,1.53974,0.8562594,1.020397,2.3604,1.969033,2.303887, + 9.694963,9.949371,10.32389,8.876742,8.534005,10.27629,8.245838,9.808456,8.972834,9.363599,9.288893,9.3025,8.554821,7.144826,8.421728,11.09806,8.253188,9.19565,11.98083,10.69035,8.681706,10.12226,7.694732,8.441415,9.915451,8.889607,9.19927,8.964746,9.597931,8.15065,8.801103,9.613891,7.372317,10.25664,9.983673,9.416855,9.975045,8.267794,8.105734,8.78042,9.950271,9.410945,9.325726,9.038831,9.438761,8.87171,10.05498,8.512429,8.215804,10.15136,8.675304,5.191434,8.21264,6.634981,6.937614,7.074519,7.340587,8.416326,7.256327,6.872781,6.436161,7.421638,7.79394,5.946423,7.364695,6.01776,7.406914,8.577625,7.959455,8.298688,5.350414,7.040609,7.93247,7.796897,7.260218,7.149877,7.40472,7.142288,5.49581,5.930405,7.262432,7.896852,6.808969,6.151587,5.988911,8.125048,7.923978,8.832956,6.619807,7.827904,6.82816,6.701462,7.243042,7.287232,7.602968,5.946166,8.273895,6.953147,6.077133,8.098053,9.39641,10.23602,8.805519,7.864413,7.885444,9.62221,8.656004,8.663986,6.474413,8.649126,7.419662,11.41784,8.506639,8.601942,9.405955,9.440693,8.633392,8.599721,9.487987,8.349174,8.261268,8.715962,10.86588,9.20934,9.003449,10.35714,8.799295,8.068916,10.31402,8.049013,10.51481,9.169288,7.349656,8.402506,9.362861,8.222756,9.011375,9.740937,11.00774,9.782063,7.89696,6.965233,9.980568,9.669844,7.865252,10.47021,8.559986,9.791229,10.26602,8.316332,1.52754,2.300015,1.585613,0,0.9705114,1.301626,1.596676,1.105796,0.3659291,1.550788,1.565456,1.058625,0.6956782,1.508741,1.67144,1.761001,0.7301105,1.859467,1.074871,0.4934257,1.602396,1.854177,1.577338,0.6438242,1.927413,0.4679944,1.18388,0.7506533,1.201339,0.9794069,0.6001313,2.366403,0.8668452,1.297947,2.344898,1.794463,0.5874205,1.302312,2.342728,1.359353,0.8535929,0.1566859,2.415407,2.636841,0.5967397,2.33635,1.444457,1.463755,0.4686397,0.8004816, + 9.803899,10.09816,10.44439,9.129421,8.530598,10.38957,8.428981,9.864285,9.175298,9.481767,9.430379,9.525564,8.63113,7.273542,8.416424,11.33665,8.346886,9.181097,11.91545,10.74802,8.713776,10.08808,7.789608,8.728458,9.942743,8.845474,9.193296,8.829782,9.665941,8.34374,8.910243,9.684241,7.430481,10.42413,9.933507,9.643977,9.863967,8.497944,8.18702,9.011255,10.00468,9.395887,9.342708,9.303211,9.440915,8.922981,10.18508,8.449032,8.498658,10.28152,8.254265,4.441836,7.528801,5.949323,6.428044,6.61723,6.906616,7.946495,6.679425,6.52212,5.750168,6.910087,7.341202,5.665563,6.91174,5.45974,6.78719,8.105346,7.351347,7.659262,5.006591,6.603707,7.230885,7.056367,6.782499,6.674283,6.969875,6.665956,4.878357,5.297878,6.671049,7.263958,6.264069,5.672244,5.702211,7.538536,7.298593,8.177296,6.275923,7.496893,6.501442,6.681336,6.725348,6.770893,7.094287,5.165506,7.664109,6.421585,5.455979,7.716924,8.432561,9.289003,7.839119,6.953415,7.004968,8.681892,7.702788,7.723191,5.530152,7.702125,6.479385,10.46834,7.537388,7.668666,8.478404,8.549381,7.680381,7.639146,8.541095,7.404829,7.330096,7.852481,9.93266,8.240007,8.068398,9.443762,7.838173,7.216242,9.412791,7.087996,9.553686,8.216782,6.380161,7.490476,8.487664,7.278946,8.111984,8.856234,10.03831,8.943218,6.960418,6.020738,9.013993,8.773334,6.922404,9.538442,7.590526,8.853509,9.328715,7.385801,2.358899,2.94356,2.555982,0.9705114,0,1.394969,2.049391,0.2624066,0.6119519,2.478195,1.134086,1.113771,0.4164316,0.9578813,2.352604,2.133575,1.588071,0.9903019,0.4524455,0.9263955,2.102582,2.821715,2.547695,0.3793031,2.605722,0.9449986,1.08882,1.572431,1.875612,1.28883,0.6332798,2.306265,1.155383,1.541652,1.99124,2.752129,0.4528925,2.161028,1.54582,0.7800719,1.714842,0.9360706,3.375959,2.108615,1.256719,3.294157,2.273343,1.569763,0.6888631,0.5320745, + 8.478751,8.755341,9.114485,7.750873,7.268076,9.063009,7.070569,8.567119,7.811229,8.151815,8.089867,8.155435,7.320973,5.935001,7.154996,9.963632,7.027189,7.926917,10.69994,9.450784,7.429011,8.848469,6.4683,7.342229,8.662485,7.611657,7.933369,7.668405,8.361739,6.981704,7.583792,8.378783,6.128128,9.074073,8.705234,8.27278,8.683048,7.124581,6.873475,7.638318,8.708486,8.142306,8.068122,7.922086,8.175942,7.627179,8.850494,7.229038,7.112991,8.947017,7.411533,4.246418,7.133947,5.576058,5.72529,5.83273,6.086773,7.174349,6.087713,5.591559,5.380622,6.207174,6.546451,4.65247,6.119296,4.847687,6.272419,7.336222,6.810286,7.174637,4.074022,5.78953,6.876324,6.790836,6.027703,5.916896,6.150992,5.909741,4.385025,4.826354,6.105201,6.769943,5.620787,4.927989,4.695859,6.957275,6.79005,7.720514,5.337576,6.539498,5.541028,5.426873,6.033506,6.076558,6.385686,5.029262,7.123859,5.754663,4.959812,6.822185,8.985449,9.695898,8.430878,7.202005,7.13442,9.05349,8.168191,8.107744,5.971022,8.124773,6.878426,10.88288,8.184918,8.012489,8.784318,8.700649,8.144544,8.166544,8.953963,7.814479,7.667287,7.913352,10.25491,8.88198,8.417035,9.67587,8.368524,7.24978,9.59483,7.626714,10.06779,8.67123,7.160616,7.736268,8.581559,7.686976,8.298683,8.98036,10.668,8.91668,7.331079,6.452961,9.596722,8.942305,7.329616,9.856179,8.242976,9.208833,9.677613,7.718995,1.56048,1.745258,2.291162,1.301626,1.394969,0,0.7815263,1.245659,1.194173,1.918357,0.7400563,0.2899831,1.53965,0.8887773,1.289967,0.7881158,1.174197,1.551323,1.011541,1.726026,2.903868,2.448818,2.283417,1.128854,1.491735,0.8338187,0.3327981,1.098233,0.9606841,0.363989,1.636098,1.064852,0.439745,2.553759,1.165364,2.294037,1.451721,2.46464,1.735269,0.909666,1.231123,1.144993,3.200475,3.501853,0.838922,3.14699,1.492387,0.1799629,1.559294,1.719773, + 8.125111,8.367485,8.749182,7.280447,7.019498,8.70388,6.658732,8.258665,7.381356,7.79146,7.709983,7.708166,7.000519,5.575932,6.908989,9.501947,6.69295,7.683961,10.48825,9.137409,7.147294,8.617735,6.136286,6.844963,8.378439,7.397725,7.682661,7.538192,8.043605,6.561735,7.233377,8.058555,5.832041,8.670118,8.48958,7.822069,8.522713,6.673393,6.551132,7.185627,8.400674,7.89848,7.796138,7.442192,7.916542,7.327212,8.47792,7.035971,6.619208,8.574126,7.561485,4.8072,7.554606,6.030823,5.996854,6.048467,6.273129,7.376657,6.419209,5.704655,5.840937,6.469569,6.742493,4.719558,6.324172,5.194493,6.643517,7.538448,7.158874,7.548902,4.228736,5.985568,7.319729,7.276174,6.259701,6.149265,6.336865,6.143027,4.809509,5.249589,6.451058,7.14461,5.931032,5.191496,4.767658,7.281199,7.156663,8.103013,5.450051,6.613717,5.630992,5.212692,6.305982,6.346686,6.641433,5.594831,7.468641,6.047898,5.367069,6.941556,9.717248,10.39265,9.171569,7.868107,7.76541,9.743438,8.88404,8.804818,6.692541,8.830986,7.58516,11.57827,8.935827,8.699678,9.457783,9.328196,8.860207,8.895591,9.654662,8.518952,8.354509,8.515737,10.92738,9.630449,9.103605,10.32411,9.097529,7.847968,10.22782,8.359846,10.78878,9.382792,7.931165,8.398173,9.190816,8.391648,8.939678,9.597498,11.41111,9.480712,8.02853,7.169617,10.33295,9.574243,8.035828,10.52873,8.994544,9.893948,10.35933,8.404907,1.001715,0.9637324,1.94903,1.596676,2.049391,0.7815263,0,1.954218,1.663418,1.453135,1.51163,0.9814494,2.076762,1.670111,0.58507,0.2134069,1.076533,2.332443,1.735019,2.087484,3.088203,2.020774,1.942797,1.713392,0.7343316,1.216148,1.098929,1.001822,0.5496041,0.7606477,2.104993,1.232211,0.8959326,2.888445,1.691736,1.834688,1.969308,2.426669,2.493471,1.685252,1.047016,1.463794,2.813033,4.105714,1.000038,2.779145,0.963914,0.6962006,1.995593,2.245676, + 9.587145,9.88749,10.2289,8.938202,8.299074,10.17301,8.225936,9.639627,8.97474,9.266744,9.219138,9.328339,8.410574,7.06302,8.184765,11.14063,8.129275,8.947596,11.67447,10.52299,8.48681,9.851551,7.572897,8.544507,9.714094,8.608631,8.960868,8.583214,9.443186,8.142565,8.694383,9.461809,7.208745,10.21629,9.695203,9.447369,9.619151,8.303299,7.967718,8.816061,9.779715,9.162157,9.113144,9.114036,9.209334,8.698494,9.971313,8.210264,8.314199,10.06769,7.992005,4.199947,7.279158,5.699081,6.166136,6.354825,6.644314,7.684162,6.420082,6.261957,5.499834,6.648296,7.078796,5.409596,6.649336,5.199066,6.530743,7.84304,7.09422,7.404847,4.747567,6.3414,6.983448,6.814942,6.520171,6.411934,6.707561,6.403611,4.620715,5.041704,6.412551,7.008804,6.003141,5.409865,5.445836,7.280012,7.042805,7.924666,6.01614,7.237205,6.242333,6.449878,6.463675,6.509194,6.832457,4.930711,7.407208,6.160243,5.19899,7.455452,8.297704,9.130259,7.710484,6.766763,6.802759,8.516659,7.551183,7.558362,5.368621,7.543387,6.314033,10.31224,7.419034,7.497403,8.302854,8.352612,7.528522,7.498245,8.382231,7.243379,7.157143,7.643593,9.761507,8.121823,7.898604,9.258984,7.698186,7.003131,9.221181,6.94797,9.41345,8.06426,6.287496,7.304562,8.283657,7.116967,7.919157,8.656454,9.920183,8.726063,6.791792,5.859439,8.885561,8.579173,6.759486,9.366137,7.47326,8.685999,9.160872,7.21236,2.374805,2.880793,2.672794,1.105796,0.2624066,1.245659,1.954218,0,0.7407994,2.542035,0.8897015,0.9827952,0.6613767,0.7028737,2.313968,2.014798,1.638879,0.7696452,0.2381056,1.150463,2.35274,2.925888,2.66441,0.4625315,2.560307,0.964561,0.9209413,1.610712,1.850746,1.204719,0.8729404,2.091332,1.082274,1.801598,1.74021,2.840304,0.6728719,2.355688,1.304942,0.5281213,1.761535,1.037094,3.520338,2.295371,1.271094,3.441914,2.290073,1.411953,0.9081171,0.7918867, + 9.666684,9.936645,10.30071,8.90323,8.461881,10.2503,8.244184,9.760177,8.979739,9.338449,9.27259,9.317871,8.512641,7.120135,8.348727,11.12132,8.217144,9.120319,11.88954,10.64369,8.623044,10.04077,7.658179,8.480948,9.856576,8.802937,9.127126,8.845114,9.554003,8.152718,8.771764,9.570866,7.321223,10.25145,9.896139,9.433953,9.865267,8.284552,8.064734,8.798177,9.901616,9.3357,9.262295,9.07015,9.369943,8.820532,10.03519,8.418138,8.253343,10.1317,8.456234,4.867555,7.910564,6.33082,6.68735,6.84127,7.115391,8.180916,6.985455,6.674408,6.131652,7.171493,7.563295,5.769496,7.133335,5.750652,7.123146,8.341605,7.679828,8.009881,5.150302,6.813941,7.625012,7.478282,7.020668,6.910834,7.179342,6.902994,5.209665,5.640672,6.987114,7.609637,6.547371,5.909434,5.810107,7.852235,7.639058,8.539706,6.423177,7.637904,6.637784,6.619603,6.990682,7.035368,7.353993,5.615122,7.994068,6.69596,5.791029,7.891537,9.03092,9.87058,8.440584,7.504081,7.531287,9.257444,8.290145,8.299128,6.109093,8.283653,7.0548,11.05222,8.143066,8.238035,9.04295,9.084516,8.267541,8.233903,9.122544,7.98393,7.897636,8.365851,10.5021,8.845817,8.639323,9.996653,8.433512,7.721159,9.955899,7.683231,10.14901,8.803463,6.991529,8.042062,9.010205,7.85756,8.653459,9.386231,10.64428,9.438177,7.532573,6.599918,9.615663,9.31261,7.500138,10.10662,8.196591,9.426789,9.901653,7.952797,1.790801,2.471041,1.94669,0.3659291,0.6119519,1.194173,1.663418,0.7407994,0,1.874155,1.292125,0.914371,0.4263138,1.202285,1.853697,1.795194,0.9998618,1.499882,0.7295488,0.5561767,1.793998,2.210149,1.938368,0.2809661,2.11172,0.4487275,0.9929039,0.9961785,1.370086,0.944011,0.4502419,2.239218,0.8085306,1.3694,2.117261,2.140698,0.3125903,1.635922,1.998352,1.039732,1.127769,0.3279085,2.781318,2.455366,0.7263932,2.702101,1.705511,1.37112,0.3652088,0.5845699, + 9.137436,9.325526,9.73709,8.114565,8.179296,9.701431,7.605657,9.33143,8.285565,8.798391,8.689073,8.576929,8.073741,6.62432,8.07305,10.32036,7.752788,8.842285,11.65906,10.19477,8.267057,9.780723,7.208999,7.636263,9.481037,8.590411,8.832256,8.808692,9.106052,7.49749,8.262474,9.118035,6.95558,9.598825,9.670093,8.682905,9.758595,7.554137,7.629021,8.05373,9.47274,9.053579,8.919658,8.255532,9.053608,8.422117,9.458047,8.253629,7.422303,9.552637,8.992379,6.161009,8.988609,7.450447,7.449788,7.49655,7.715758,8.820783,7.870306,7.129344,7.257879,7.921962,8.186271,6.133365,7.77018,6.642703,8.089173,8.98236,8.608471,8.994648,5.670599,7.430574,8.745502,8.682814,7.709638,7.599348,7.779276,7.593216,6.238366,6.679784,7.900562,8.589989,7.383482,6.644416,6.182888,8.73329,8.603533,9.547468,6.875614,8.019943,7.047946,6.435995,7.758872,7.799483,8.093322,6.945384,8.918868,7.500974,6.802458,8.364073,10.78834,11.55646,10.2138,9.096128,9.04604,10.92319,10.00466,9.971132,7.806651,9.976152,8.732866,12.74327,9.938038,9.887126,10.67033,10.61231,9.981393,9.978233,10.81089,9.669111,9.542629,9.830734,12.1399,10.64012,10.29151,11.57804,10.17959,9.1677,11.50406,9.431585,11.89011,10.51322,8.827673,9.632374,10.49777,9.541693,10.20552,10.89481,12.43667,10.83394,9.195991,8.294342,11.38715,10.85231,9.183288,11.74156,9.993552,11.08342,11.55489,9.595542,0.4728093,1.365174,0.5609335,1.550788,2.478195,1.918357,1.453135,2.542035,1.874155,0,2.584609,1.904499,2.246464,2.649246,0.9626607,1.656499,0.9042774,3.201171,2.417954,1.915249,2.320844,0.5679104,0.5575419,2.106822,1.063366,1.583046,2.084674,0.941604,0.9785254,1.612648,2.130752,2.681476,1.646818,2.438996,3.050912,0.3846128,2.137457,1.40673,3.556595,2.570445,0.7858865,1.546249,1.36159,4.08892,1.294817,1.332562,0.4913309,1.954888,1.999428,2.340782, + 8.71384,9.022046,9.356971,8.105228,7.412114,9.299758,7.373035,8.75779,8.125324,8.395715,8.35319,8.484288,7.533212,6.199484,7.297735,10.29743,7.255462,8.059509,10.78484,9.640676,7.603138,8.9623,6.700475,7.725919,8.828918,7.719328,8.073329,7.695863,8.563222,7.292825,7.822511,8.582168,6.330525,9.354741,8.805602,8.604291,8.730681,7.464756,7.091946,7.97601,8.897572,8.273951,8.227377,8.284683,8.322255,7.816998,9.10166,7.320624,7.494932,9.197912,7.176789,3.66136,6.650525,5.074799,5.395557,5.554628,5.832961,6.892753,5.6964,5.415291,4.876354,5.879668,6.277533,4.540227,5.847447,4.460068,5.841929,7.053155,6.395581,6.733235,3.893976,5.53086,6.374103,6.251483,5.731349,5.621734,5.89675,5.613808,3.930395,4.365014,5.700167,6.331458,5.255686,4.619679,4.577991,6.564141,6.358835,7.267779,5.166557,6.385943,5.387723,5.563221,5.698662,5.743383,6.0623,4.431127,6.709986,5.403867,4.511751,6.622456,8.253811,8.982537,7.695742,6.51154,6.470383,8.34474,7.444781,7.395336,5.246129,7.406842,6.161267,10.1697,7.44657,7.30645,8.086538,8.035862,7.42125,7.436421,8.238714,7.097818,6.961613,7.269735,9.556462,8.144213,7.710987,8.994554,7.638348,6.611476,8.924618,6.894919,9.340903,7.949895,6.421687,7.047887,7.930981,6.970301,7.624565,8.322955,9.931684,8.301289,6.619194,5.73036,8.863079,8.27383,6.612332,9.157998,7.504459,8.503018,8.9736,7.014122,2.270007,2.471603,2.885763,1.565456,1.134086,0.7400563,1.51163,0.8897015,1.292125,2.584609,0,0.68028,1.456353,0.218986,2.029167,1.480411,1.744754,0.8604848,0.6847714,1.837056,3.081314,3.080667,2.87757,1.075992,2.231019,1.166637,0.4999364,1.681875,1.670646,0.9742129,1.631459,1.239332,0.9434692,2.601992,0.8607589,2.945082,1.415857,2.857755,0.9979879,0.3654385,1.833778,1.42712,3.791102,3.153444,1.34726,3.727659,2.196239,0.8223568,1.610984,1.621226, + 8.766631,9.044532,9.402801,8.040461,7.548787,9.351055,7.360418,8.852283,8.101202,8.440062,8.378879,8.445385,7.607307,6.223688,7.435526,10.25349,7.314414,8.206736,10.97522,9.736076,7.712546,9.126603,6.755589,7.630879,8.945746,7.8886,8.213942,7.934547,8.64762,7.27164,7.871696,8.664796,6.413369,9.36366,8.981775,8.562706,8.952702,7.414461,7.160075,7.928203,8.993566,8.422108,8.350578,8.21144,8.457224,7.912032,9.139143,7.503847,7.401754,9.235667,7.621363,4.313127,7.255537,5.687879,5.904304,6.028163,6.289714,7.370387,6.245741,5.814542,5.490777,6.387618,6.745588,4.88877,6.317013,5.004986,6.415605,7.531973,6.96029,7.314325,4.292685,5.990632,6.989058,6.885233,6.21785,6.107252,6.353898,6.099847,4.51518,4.954654,6.258106,6.910443,5.78759,5.112457,4.930998,7.115633,6.933512,7.855929,5.561437,6.769292,5.769535,5.70566,6.211285,6.254952,6.56771,5.089254,7.274493,5.926643,5.093904,7.040817,8.915296,9.65808,8.351324,7.191755,7.148732,9.021988,8.114997,8.071487,5.916002,8.080522,6.835652,10.84518,8.092867,7.984565,8.766094,8.714511,8.091559,8.100178,8.913552,7.772209,7.639862,7.944082,10.23585,8.792473,8.389051,9.67477,8.301971,7.284297,9.604024,7.556644,10.00772,8.621448,7.037483,7.728148,8.607048,7.644714,8.304286,9.000427,10.5838,8.967666,7.295681,6.401716,9.521195,8.952992,7.286532,9.837439,8.149986,9.181055,9.652017,7.692547,1.602879,1.931343,2.216027,1.058625,1.113771,0.2899831,0.9814494,0.9827952,0.914371,1.904499,0.68028,0,1.250066,0.7626277,1.414445,1.032007,1.07514,1.389147,0.7564621,1.45645,2.656862,2.403094,2.207934,0.8388741,1.641301,0.5958859,0.1807787,1.008384,1.010311,0.2998682,1.351193,1.326949,0.2688129,2.280888,1.311738,2.265184,1.163444,2.281775,1.661486,0.7296986,1.15762,0.9030587,3.124592,3.217049,0.6901616,3.064232,1.526357,0.4698773,1.279281,1.430279, + 10.01471,10.29448,10.65163,9.284045,8.779441,10.59942,8.61005,10.09429,9.34993,9.688804,9.628677,9.692532,8.852271,7.47315,8.665743,11.49926,8.561316,9.434585,12.18828,10.97828,8.95068,10.34914,8.002671,8.868497,10.18283,9.108382,9.443903,9.121578,9.8914,8.520827,9.119863,9.908885,7.656067,10.6137,10.19967,9.809477,10.14953,8.660709,8.405686,9.174482,10.23534,9.649806,9.585661,9.453312,9.689063,9.153444,10.38849,8.717699,8.64009,10.48501,8.622036,4.857033,7.940238,6.360271,6.812506,6.991162,7.275806,8.324519,7.076291,6.870905,6.161038,7.295473,7.715022,5.994132,7.28511,5.852022,7.190664,8.484013,7.753523,8.065837,5.350197,6.973144,7.643802,7.471787,7.160962,7.052172,7.339341,7.043988,5.279685,5.701904,7.070229,7.669501,6.655002,6.049465,6.032474,7.93758,7.703158,8.586018,6.622547,7.842181,6.84407,6.932417,7.11172,7.157055,7.479304,5.581891,8.066708,6.810244,5.858544,8.074885,8.790141,9.666921,8.191324,7.352385,7.412595,9.065195,8.075572,8.106598,5.912538,8.080759,6.863898,10.84367,7.879967,8.056923,8.869443,8.953876,8.053391,8.002731,8.919419,7.785777,7.719726,8.263016,10.32006,8.581801,8.455404,9.840842,8.200805,7.628525,9.814162,7.451232,9.915562,8.590042,6.697934,7.888799,8.895908,7.660379,8.514335,9.262299,10.37884,9.356751,7.347082,6.402508,9.365191,9.17632,7.304777,9.926809,7.931982,9.238497,9.713797,7.775756,2.200955,2.897304,2.249848,0.6956782,0.4164316,1.53965,2.076762,0.6613767,0.4263138,2.246464,1.456353,1.250066,0,1.31002,2.279741,2.197551,1.403224,1.406614,0.7850794,0.5184043,1.691365,2.529155,2.241789,0.4163551,2.537821,0.8703152,1.283553,1.407999,1.796232,1.337498,0.2173992,2.541077,1.198993,1.153604,2.315195,2.481937,0.115235,1.76868,1.960796,1.131108,1.530398,0.7255068,3.029573,2.032429,1.152467,2.94435,2.116242,1.719601,0.2951107,0.1803605, + 8.924564,9.235127,9.568125,8.323086,7.614484,9.510456,7.588756,8.964456,8.34149,8.607248,8.566197,8.701099,7.742403,6.413327,7.50003,10.51424,7.466148,8.260183,10.97817,9.846964,7.808642,9.16022,6.911732,7.944568,9.03305,7.917165,8.274856,7.882535,8.771009,7.509016,8.033822,8.790128,6.539476,9.568712,9.001875,8.821204,8.919657,7.682196,7.301883,8.193274,9.104029,8.474398,8.430995,8.502779,8.524384,8.02397,9.313566,7.516676,7.713564,9.409774,7.312038,3.684447,6.709653,5.130484,5.508901,5.681821,5.965798,7.016383,5.790154,5.567396,4.931428,5.992476,6.405585,4.707788,5.97561,4.558814,5.922179,7.176139,6.480074,6.807837,4.050004,5.663151,6.426289,6.288185,5.853229,5.744196,6.029342,5.736079,4.008503,4.438691,5.789417,6.407847,5.358867,4.741439,4.744355,6.655463,6.437726,7.337426,5.320404,6.541101,5.544841,5.766231,5.809761,5.854862,6.175896,4.444076,6.794174,5.510989,4.589723,6.76694,8.153981,8.907212,7.588927,6.459847,6.438926,8.274626,7.358198,7.322029,5.159441,7.327248,6.083655,10.09404,7.330432,7.239799,8.027042,8.002155,7.334839,7.339683,8.161702,7.019954,6.895623,7.250721,9.495468,8.029921,7.64401,8.948052,7.541406,6.5966,8.88639,6.795504,9.248446,7.865741,6.282662,6.997345,7.906854,6.892524,7.584562,8.294008,9.821175,8.297706,6.547111,5.646312,8.759101,8.237332,6.53414,9.097457,7.387619,8.435737,8.907785,6.948871,2.364917,2.633745,2.912732,1.508741,0.9578813,0.8887773,1.670111,0.7028737,1.202285,2.649246,0.218986,0.7626277,1.31002,0,2.161139,1.657746,1.780296,0.6676223,0.5250133,1.728012,2.969391,3.123339,2.904419,0.9586761,2.374847,1.154671,0.5954235,1.724179,1.772731,1.062291,1.498738,1.457414,1.004368,2.46315,1.038191,2.998555,1.283147,2.810735,0.907496,0.179497,1.879596,1.3825,3.809949,2.941973,1.376688,3.74244,2.287657,0.9971994,1.493456,1.465975, + 8.291021,8.50368,8.902492,7.348392,7.271982,8.862483,6.784765,8.459681,7.486289,7.953691,7.856448,7.795251,7.199588,5.756501,7.164037,9.567128,6.883406,7.936453,10.75136,9.330656,7.374839,8.874283,6.333046,6.889654,8.597401,7.672086,7.929626,7.866416,8.238221,6.681345,7.4071,8.251459,6.059231,8.791016,8.757208,7.905317,8.827222,6.763756,6.752017,7.27093,8.60149,8.149204,8.027023,7.499995,8.155978,7.539905,8.626456,7.326613,6.669055,8.721938,8.036234,5.392006,8.118813,6.603522,6.522942,6.554917,6.767497,7.873441,6.962538,6.171543,6.414808,6.991067,7.238863,5.173227,6.825476,5.745364,7.197161,8.034735,7.705526,8.101898,4.723276,6.484893,7.888924,7.852718,6.771265,6.661367,6.830783,6.655479,5.378791,5.817706,6.998358,7.69832,6.46944,5.718118,5.223019,7.820444,7.708242,8.657425,5.918221,7.058142,6.088097,5.50447,6.831367,6.871165,7.160126,6.179632,8.013673,6.580758,5.93171,7.405196,10.27141,10.96344,9.719455,8.446526,8.348761,10.31632,9.446878,9.37523,7.252094,9.398016,8.151707,12.14967,9.474873,9.273184,10.03495,9.912025,9.423129,9.451368,10.22394,9.086607,8.927932,9.100705,11.50498,10.17182,9.677368,10.90588,9.653358,8.432986,10.81128,8.912991,11.34931,9.94767,8.443656,8.977506,9.77563,8.959199,9.522182,10.18201,11.95719,10.06494,8.598645,7.731712,10.8842,10.15774,8.602693,11.10626,9.532942,10.46826,10.93463,8.978716,0.4900654,0.6289849,1.507734,1.67144,2.352604,1.289967,0.58507,2.313968,1.853697,0.9626607,2.029167,1.414445,2.279741,2.161139,0,0.7513536,0.9788192,2.803291,2.120853,2.153989,2.958534,1.520802,1.50292,1.983141,0.2581989,1.422894,1.567348,0.9336596,0.4837501,1.131165,2.252221,1.793413,1.237501,2.882673,2.276519,1.324031,2.165194,2.168765,3.025225,2.144076,0.8857572,1.577395,2.312857,4.296547,1.127308,2.290269,0.4899909,1.24705,2.126957,2.428204, + 7.942029,8.190405,8.568317,7.119887,6.821536,8.521961,6.485167,8.068815,7.211903,7.609315,7.531142,7.542605,6.811724,5.391972,6.710683,9.340426,6.505999,7.485701,10.28762,8.948605,6.953336,8.418527,5.948587,6.69071,8.185363,7.196346,7.485262,7.330182,7.855034,6.389707,7.049296,7.870295,5.639041,8.496176,8.288791,7.657328,8.317097,6.50803,6.362316,7.02095,8.210795,7.700408,7.601295,7.28399,7.720246,7.135739,8.298181,6.832509,6.463905,8.394484,7.350175,4.653772,7.368759,5.85218,5.794053,5.841223,6.063952,7.167971,6.222207,5.492532,5.663553,6.265636,6.533671,4.506596,6.116071,5.000635,6.451227,7.329704,6.963333,7.356356,4.019167,5.777094,7.137784,7.101952,6.053484,5.943141,6.127633,5.936974,4.627577,5.066664,6.255724,6.952398,5.732097,4.988689,4.554772,7.082739,6.963382,7.911234,5.237988,6.400569,5.418275,5.01001,6.103039,6.143505,6.436842,5.441062,7.272445,5.847109,5.181419,6.729328,9.626346,10.28117,9.087323,7.744374,7.6286,9.628955,8.783612,8.694363,6.597275,8.725233,7.480618,11.46561,8.860053,8.584526,9.33602,9.189068,8.759685,8.803293,9.545537,8.412483,8.239616,8.369098,10.80445,9.55221,8.987902,10.19179,9.005086,7.700596,10.09006,8.270632,10.69045,9.279632,7.877945,8.272313,9.045836,8.285373,8.80549,9.454775,11.32777,9.322703,7.918822,7.070981,10.24486,9.436471,7.930636,10.40602,8.919326,9.777122,10.24073,8.28937,1.197778,1.008481,2.159544,1.761001,2.133575,0.7881158,0.2134069,2.014798,1.795194,1.656499,1.480411,1.032007,2.197551,1.657746,0.7513536,0,1.279691,2.325264,1.786702,2.2468,3.279983,2.224403,2.153407,1.816785,0.8513641,1.354674,1.119938,1.203295,0.762332,0.8611317,2.242661,1.042809,0.9998607,3.058008,1.554187,2.035858,2.09396,2.635428,2.437027,1.695478,1.256029,1.621396,3.017802,4.215673,1.168397,2.985685,1.165566,0.6606804,2.139212,2.370906, + 9.184045,9.415557,9.804071,8.293536,8.095397,9.760628,7.701273,9.327387,8.414608,8.848984,8.76175,8.732399,8.068224,6.637617,7.98503,10.51469,7.758319,8.75996,11.56477,10.20462,8.220548,9.694033,7.202887,7.843312,9.450726,8.47423,8.758269,8.60817,9.110739,7.6013,8.294297,9.125272,6.904664,9.711753,9.566113,8.844282,9.596732,7.69856,7.619004,8.208503,9.469403,8.974395,8.870057,8.449285,8.991502,8.398002,9.53091,8.111818,7.620668,9.626892,8.531497,5.387557,8.306716,6.745832,6.884065,6.975543,7.219531,8.314548,7.258014,6.691265,6.549742,7.364328,7.683562,5.725324,7.258882,6.018791,7.446203,8.476586,7.982796,8.348679,5.188276,6.925353,8.046676,7.952857,7.176064,7.065194,7.283679,7.058307,5.558766,5.99994,7.277132,7.943946,6.787472,6.083354,5.771473,8.127145,7.963749,8.894709,6.436351,7.620901,6.628839,6.288868,7.192918,7.235462,7.541342,6.164329,8.296156,6.918303,6.133934,7.927315,9.893215,10.67761,9.315697,8.24014,8.212702,10.04908,9.118097,9.094698,6.922055,9.094687,7.8538,11.86371,9.036654,9.016511,9.806287,9.777434,9.094968,9.08533,9.930991,8.789177,8.67275,9.014489,11.2741,9.738957,9.420443,10.72799,9.28643,8.356033,10.66395,8.537639,10.99861,9.628037,7.923426,8.777613,9.675365,8.66191,9.362715,10.0663,11.53605,10.04232,8.321012,7.410982,10.48965,10.01407,8.303432,10.87628,9.09193,10.2118,10.6845,8.72631,0.7992293,1.604134,1.141538,0.7301105,1.588071,1.174197,1.076533,1.638879,0.9998618,0.9042774,1.744754,1.07514,1.403224,1.780296,0.9788192,1.279691,0,2.30311,1.51495,1.189419,2.025314,1.343132,1.133394,1.211683,1.226475,0.6789111,1.253765,0.0806738,0.5597681,0.8183131,1.329779,2.137283,0.8063694,1.904617,2.339025,1.225653,1.289176,1.364486,2.68511,1.685393,0.1279081,0.678605,2.049466,3.364533,0.403909,1.989423,0.7153516,1.270723,1.198663,1.525745, + 9.384079,9.713773,10.0301,8.857458,8.019791,9.968893,8.095706,9.394412,8.852361,9.073715,9.045154,9.219509,8.19253,6.904059,7.905191,11.03086,7.928095,8.653661,11.32492,10.27291,8.233218,9.535697,7.379437,8.496445,9.446176,8.295092,8.673403,8.201737,9.209056,8.021421,8.499507,9.229359,6.990952,10.05509,9.368396,9.340809,9.247542,8.210701,7.758521,8.71851,9.53232,8.866033,8.842065,9.041284,8.926021,8.45785,9.782028,7.885829,8.265214,9.877731,7.415918,3.459101,6.558518,4.98185,5.545798,5.766614,6.069037,7.078946,5.757464,5.747491,4.783173,6.023341,6.488037,4.958553,6.061561,4.556404,5.843847,7.235477,6.411358,6.704886,4.262032,5.766796,6.255635,6.071851,5.917388,5.81135,6.131192,5.802617,3.94679,4.355622,5.741733,6.313302,5.362069,4.816311,4.989747,6.608134,6.35105,7.215614,5.509478,6.726711,5.745143,6.181815,5.83614,5.882192,6.208116,4.176399,6.722387,5.52624,4.518317,6.909023,7.590266,8.391925,7.012978,6.004963,6.033985,7.771864,6.822404,6.814602,4.631028,6.806216,5.57086,9.576205,6.738129,6.74738,7.548653,7.585341,6.799455,6.783434,7.644247,6.50347,6.405788,6.87395,9.010546,7.439869,7.149716,8.497682,6.984355,6.233747,8.456023,6.235204,8.697457,7.333859,5.655227,6.543045,7.514438,6.376598,7.153611,7.88817,9.235848,7.957646,6.044803,5.121311,8.186715,7.812923,6.018446,8.614298,6.794012,7.938867,8.413197,6.460531,2.964476,3.295969,3.393376,1.859467,0.9903019,1.551323,2.332443,0.7696452,1.499882,3.201171,0.8604848,1.389147,1.406614,0.6676223,2.803291,2.325264,2.30311,0,0.7993372,1.913161,3.083107,3.63092,3.384962,1.218938,3.025879,1.630144,1.240428,2.259887,2.388506,1.680176,1.623581,2.029508,1.596537,2.495691,1.455285,3.527195,1.435421,3.124905,0.5758858,0.6595688,2.416203,1.772022,4.261997,2.544524,1.906373,4.186568,2.883524,1.6648,1.672318,1.504298, + 9.358433,9.65627,9.999641,8.701869,8.079111,9.944223,7.992184,9.415065,8.740352,9.037252,8.988111,9.093172,8.183685,6.831632,7.964902,10.90524,7.900913,8.729196,11.46307,10.29867,8.263656,9.635756,7.344092,8.307184,9.492087,8.393117,8.741613,8.378688,9.217518,7.908305,8.465239,9.235961,6.982437,9.984076,9.481073,9.212072,9.412265,8.067563,7.740171,8.580451,9.555341,8.943946,8.891762,8.877387,8.989431,8.473805,9.741308,7.996587,8.076925,9.837716,7.837041,4.14141,7.197084,5.616591,6.030293,6.206267,6.490736,7.540156,6.303074,6.090107,5.417291,6.513589,6.930094,5.22316,6.500157,5.07492,6.426797,7.699773,6.987163,7.307862,4.571207,6.188068,6.907605,6.753967,6.376768,6.267865,6.554266,6.259712,4.513588,4.940164,6.299805,6.909436,5.876542,5.265116,5.260503,7.166638,6.941075,7.833306,5.842549,7.062893,6.06581,6.229818,6.330346,6.375566,6.697223,4.886301,7.300909,6.030213,5.093977,7.291376,8.384227,9.191258,7.803517,6.796312,6.811025,8.570748,7.62109,7.613657,5.43033,7.605544,6.370029,10.37553,7.521963,7.545272,8.344948,8.367247,7.598177,7.579345,8.443584,7.302787,7.203322,7.641203,9.80796,8.224355,7.947867,9.288979,7.780041,6.994759,9.242275,7.030475,9.493887,8.132767,6.413834,7.334529,8.288056,7.175903,7.939493,8.666674,10.0217,8.709902,6.84345,5.920638,8.977955,8.597229,6.817732,9.411441,7.57714,8.73735,9.211539,7.257902,2.215859,2.672868,2.594147,1.074871,0.4524455,1.011541,1.735019,0.2381056,0.7295488,2.417954,0.6847714,0.7564621,0.7850794,0.5250133,2.120853,1.786702,1.51495,0.7993372,0,1.220559,2.454553,2.833781,2.585734,0.4590348,2.362278,0.8370207,0.6843402,1.477322,1.669281,0.9971482,0.9769818,1.860829,0.8833688,1.938463,1.544819,2.734527,0.7624988,2.365119,1.269613,0.3460426,1.632206,0.9766622,3.464265,2.531151,1.127084,3.389732,2.132348,1.175675,0.9811959,0.9420895, + 10.16933,10.42901,10.80016,9.365746,8.988873,10.75157,8.728412,10.27489,9.457745,9.839032,9.767297,9.789391,9.02359,7.619916,8.876115,11.58671,8.72435,9.648976,12.42564,11.15762,9.143245,10.57242,8.165555,8.932378,10.37712,9.33664,9.654265,9.390915,10.06618,8.6342,9.274925,10.08252,7.836973,10.73855,10.4304,9.904124,10.40805,8.754829,8.574883,9.267741,10.41657,9.864357,9.785117,9.528663,9.895502,9.336703,10.53236,8.954929,8.706471,10.6288,9.009161,5.347889,8.41594,6.83537,7.231101,7.39106,7.667227,8.729684,7.518129,7.230231,6.636052,7.715081,8.113628,6.325346,7.683579,6.286516,7.646468,8.89014,8.205998,8.528356,5.70615,7.365498,8.124358,7.962663,7.568404,7.45878,7.731119,7.450859,5.73296,6.160409,7.516831,8.129758,7.085747,6.456726,6.366059,8.383145,8.161088,9.053765,6.979116,8.19404,7.19393,7.150613,7.533371,7.57826,7.898008,6.081126,8.519905,7.236517,6.313654,8.446525,9.29267,10.17952,8.690923,7.870755,7.929799,9.579959,8.586126,8.621485,6.427375,8.593842,7.379299,11.35501,8.373802,8.573359,9.386569,9.47196,8.564053,8.508761,9.432269,8.299805,8.236556,8.778663,10.83612,9.074818,8.971445,10.35904,8.706277,8.142628,10.33256,7.95724,10.42024,9.100725,7.176001,8.407128,9.412875,8.174605,9.032675,9.780039,10.8704,9.869252,7.863107,6.917041,9.863807,9.694611,7.81939,10.44318,8.42508,9.753836,10.22913,8.292667,1.968462,2.782939,1.823179,0.4934257,0.9263955,1.726026,2.087484,1.150463,0.5561767,1.915249,1.837056,1.45645,0.5184043,1.728012,2.153989,2.2468,1.189419,1.913161,1.220559,0,1.244353,2.11411,1.815557,0.7693579,2.407794,0.9114392,1.546735,1.222962,1.690364,1.436016,0.3071761,2.783264,1.310797,0.8287579,2.671557,2.09528,0.4781081,1.254594,2.454948,1.556251,1.304235,0.6254089,2.549868,2.188685,1.088726,2.461745,1.888715,1.898207,0.2426529,0.5015995, + 11.20876,11.44054,11.82934,10.3061,10.09864,11.78573,9.725503,11.34687,10.43605,10.87395,10.78705,10.7501,10.08864,8.661369,9.987295,12.52544,9.780413,10.76219,13.55792,12.22549,10.23331,11.69301,9.224135,9.848103,11.4653,10.46565,10.76299,10.55979,11.13165,9.624876,10.31844,11.1465,8.918935,11.73546,11.55933,10.86099,11.56503,9.717248,9.639265,10.22589,11.48888,10.97715,10.88106,10.45843,10.99912,10.41506,11.55622,10.09422,9.627588,11.6522,10.25004,6.541727,9.631137,8.051377,8.47526,8.634621,8.909385,9.97366,8.757517,8.462622,7.852169,8.959198,9.356918,7.545233,8.926912,7.527984,8.879041,10.13419,9.440605,9.756319,6.938744,8.607908,9.333412,9.154957,8.812611,8.702946,8.973333,8.695041,6.966677,7.391006,8.754279,9.359392,8.328246,7.700986,7.587164,9.621173,9.392347,10.27729,8.210566,9.42231,8.422159,8.276972,8.777305,8.822239,9.142194,7.25617,9.754141,8.479848,7.546437,9.682913,10.13998,11.10308,9.522751,8.900181,9.006751,10.52935,9.497126,9.576031,7.393219,9.528507,8.346121,12.26276,9.173823,9.549293,10.37161,10.52599,9.476099,9.384507,10.36107,9.245823,9.220307,9.873215,11.79911,9.865711,9.939911,11.37037,9.576927,9.25188,11.36676,8.836084,11.27728,10.01046,7.906944,9.431143,10.49027,9.123405,10.07572,10.84278,11.64382,10.98724,8.835913,7.87617,10.68324,10.73941,8.774354,11.41193,9.220642,10.70989,11.1837,9.277588,2.60163,3.548303,1.923271,1.602396,2.102582,2.903868,3.088203,2.35274,1.793998,2.320844,3.081314,2.656862,1.691365,2.969391,2.958534,3.279983,2.025314,3.083107,2.454553,1.244353,0,2.195642,1.919555,2.011508,3.17848,2.07039,2.768171,2.093701,2.584647,2.572949,1.482624,3.968428,2.467318,0.6447609,3.91066,2.289246,1.69341,0.9525154,3.647387,2.79542,2.08837,1.759081,2.21731,2.284422,2.135745,2.121927,2.545403,3.063869,1.475937,1.578824, + 9.577088,9.747174,10.16714,8.501089,8.667261,10.13469,8.030661,9.789663,8.693871,9.237416,9.11965,8.9725,8.535833,7.085054,8.562565,10.69257,8.211946,9.328206,12.1441,10.64602,8.74272,10.26617,7.674196,8.011578,9.948275,9.087256,9.315538,9.328199,9.561642,7.919551,8.710302,9.57266,7.436764,10.01005,10.16116,9.075429,10.26645,7.958601,8.09411,8.45154,9.930393,9.538047,9.394737,8.634566,9.53254,8.889745,9.886405,8.758586,7.802757,9.980186,9.556186,6.694982,9.547373,8.004483,8.017576,8.06407,8.282299,9.387554,8.436335,7.692067,7.811088,8.489857,8.753006,6.693993,8.337351,7.207492,8.652711,9.54908,9.173713,9.558127,6.237206,7.997583,9.30123,9.231649,8.277404,8.167132,8.34577,8.161013,6.796207,7.23787,8.465807,9.153355,7.950313,7.212208,6.743813,9.299854,9.167536,10.11034,7.43861,8.57786,7.608887,6.947217,8.326678,8.367317,8.661232,7.476962,9.484403,8.06836,7.362332,8.925962,11.21727,12.01682,10.63395,9.583105,9.55105,11.3902,10.4527,10.43514,8.258825,10.4328,9.193379,13.20243,10.34492,10.35863,11.14927,11.11648,10.42969,10.41311,11.26979,10.12816,10.01505,10.34658,12.61687,11.0477,10.76243,12.07044,10.61378,9.685938,12.0045,9.864133,12.32766,10.96361,9.201676,10.1205,11.01011,10.00099,10.70377,11.40334,12.84604,11.36245,9.662068,8.74839,11.80882,11.35409,9.642548,12.21912,10.39914,11.5536,12.02654,10.06872,1.034896,1.847237,0.2976633,1.854177,2.821715,2.448818,2.020774,2.925888,2.210149,0.5679104,3.080667,2.403094,2.529155,3.123339,1.520802,2.224403,1.343132,3.63092,2.833781,2.11411,2.195642,0,0.3043233,2.470323,1.590703,2.001607,2.583727,1.400513,1.533418,2.122759,2.376461,3.247657,2.137273,2.461674,3.597191,0.20132,2.430358,1.243695,4.028118,3.026549,1.247059,1.892233,0.7942078,4.200685,1.746987,0.7696657,1.059041,2.499823,2.252523,2.58978, + 9.688468,9.871838,10.2858,8.648739,8.736824,10.25097,8.152597,9.886216,8.82753,9.349229,9.237765,9.114578,8.629019,7.1792,8.630591,10.84943,8.307566,9.399782,12.21656,10.74839,8.823967,10.33822,7.764636,8.165875,10.03713,9.147778,9.389667,9.362548,9.660368,8.043551,8.8152,9.672181,7.512825,10.142,10.22762,9.219475,10.31483,8.094621,8.184689,8.592042,10.02744,9.611037,9.47655,8.786837,9.610797,8.978191,10.00626,8.810338,7.953894,10.10065,9.503472,6.518019,9.410499,7.857701,7.925217,7.988066,8.215449,9.318403,8.326792,7.644573,7.662779,8.400979,8.684434,6.654392,8.265186,7.09249,8.53132,9.480258,9.059431,9.435964,6.171394,7.927138,9.157174,9.074092,8.19712,8.086506,8.27923,8.080105,6.659208,7.101008,8.351975,9.030985,7.846577,7.120578,6.70322,9.193263,9.047671,9.985641,7.390217,8.545291,7.567706,6.991982,8.234552,8.275949,8.574614,7.296195,9.371452,7.969749,7.230071,8.880928,10.96168,11.7765,10.37483,9.360484,9.342249,11.15391,10.20646,10.19752,8.015972,10.19108,8.954434,12.96107,10.08065,10.12549,10.92045,10.90617,10.18359,10.16052,11.02895,9.887893,9.78263,10.14702,12.38625,10.78344,10.52875,11.85057,10.36078,9.489046,11.7908,9.610726,12.07561,10.71835,8.926735,9.898398,10.80695,9.760924,10.48889,11.19663,12.58193,11.17555,9.426038,8.506191,11.54992,11.14171,9.402649,11.98901,10.13438,11.31914,11.7928,9.836744,1.016051,1.920255,0.008413377,1.577338,2.547695,2.283417,1.942797,2.66441,1.938368,0.5575419,2.87757,2.207934,2.241789,2.904419,1.50292,2.153407,1.133394,3.384962,2.585734,1.815557,1.919555,0.3043233,0,2.204886,1.619803,1.763595,2.387007,1.199906,1.419636,1.941055,2.08312,3.148258,1.939358,2.161285,3.444963,0.3714362,2.145734,0.9682883,3.80328,2.797357,1.055242,1.627395,0.9181329,3.896646,1.531498,0.8638857,1.015312,2.352911,1.961086,2.296034, + 9.599617,9.881052,10.23692,8.878543,8.363347,10.18444,8.198823,9.678049,8.94,9.274054,9.214932,9.284225,8.436361,7.059019,8.249675,11.09214,8.145832,9.018712,11.77418,10.56204,8.534325,9.933801,7.587255,8.466795,9.766479,8.69329,9.02787,8.711347,9.475312,8.110311,8.704823,9.492834,7.239903,10.20128,9.784857,9.401506,9.737774,8.253174,7.9899,8.766926,9.819085,9.233951,9.16936,9.048985,9.272914,8.737172,9.974179,8.3033,8.237948,10.0707,8.25278,4.6003,7.654398,6.074026,6.464304,6.629488,6.908822,7.966653,6.748771,6.486839,5.874748,6.948144,7.352659,5.5985,6.922567,5.517365,6.878275,8.126837,7.437256,7.761544,4.963938,6.606655,7.365845,7.212996,6.804483,6.695084,6.972591,6.687083,4.964628,5.393015,6.747605,7.362424,6.316982,5.692602,5.637691,7.613847,7.393237,8.288528,6.237154,7.455143,6.45588,6.516537,6.766008,6.810987,7.131285,5.343878,7.751234,6.46834,5.545527,7.697084,8.758725,9.592606,8.170294,7.223159,7.250914,8.978403,8.013703,8.0202,5.830896,8.005765,6.77588,10.77471,7.876201,7.958225,8.762647,8.803773,7.991045,7.960065,8.844583,7.705576,7.617649,8.086478,10.22221,8.579006,8.359674,9.71575,8.159907,7.442544,9.674961,7.409659,9.87526,8.526791,6.734648,7.761151,8.730141,7.579124,8.372537,9.105726,10.37747,9.160852,7.253142,6.321706,9.345401,9.031742,7.221571,9.826616,7.93011,9.147408,9.622207,7.672754,1.979596,2.582513,2.213253,0.6438242,0.3793031,1.128854,1.713392,0.4625315,0.2809661,2.106822,1.075992,0.8388741,0.4163551,0.9586761,1.983141,1.816785,1.211683,1.218938,0.4590348,0.7693579,2.011508,2.470323,2.204886,0,2.238063,0.5672286,0.8672381,1.193974,1.503219,0.9573302,0.5596861,2.125191,0.8193378,1.529971,1.925236,2.391384,0.3478992,1.913089,1.722543,0.7874152,1.337872,0.5782417,3.057813,2.398931,0.8782483,2.979497,1.89404,1.308697,0.5363443,0.5962549, + 8.107158,8.310324,8.714055,7.137055,7.120338,8.675748,6.59028,8.287462,7.284803,7.768993,7.666872,7.588522,7.028204,5.581276,7.013569,9.353371,6.709494,7.783904,10.60043,9.154951,7.213499,8.722286,6.162258,6.672966,8.431442,7.528677,7.774931,7.746336,8.064009,6.485099,7.226797,8.076644,5.900031,8.592883,8.609758,7.697456,8.695261,6.559066,6.581952,7.064257,8.429059,7.995705,7.866086,7.285929,7.998118,7.372897,8.436768,7.190539,6.453888,8.531942,7.999982,5.501744,8.170917,6.671858,6.531389,6.545592,6.747918,7.854245,6.988341,6.132656,6.485718,6.994448,7.220163,5.127896,6.81141,5.781902,7.23515,8.014949,7.734333,8.138156,4.708667,6.469778,7.949528,7.928279,6.765989,6.656735,6.810747,6.651165,5.442433,5.878655,7.028725,7.735877,6.4905,5.72854,5.178658,7.840715,7.743062,8.695075,5.880783,7.002553,6.042687,5.372629,6.838666,6.877537,7.160673,6.288619,8.040274,6.59584,5.986849,7.361898,10.45152,11.12387,9.905162,8.593157,8.479957,10.47347,9.617897,9.53633,7.426809,9.56385,8.318243,12.3091,9.667472,9.429368,10.18412,10.04038,9.59405,9.629914,10.38664,9.251626,9.084293,9.21912,11.65306,10.36273,9.833071,11.04283,9.831854,8.550442,10.94141,9.094039,11.52291,10.11623,8.652343,9.121842,9.89627,9.124365,9.656717,10.30566,12.14445,10.16679,8.760246,7.903638,11.06701,10.28783,8.768788,11.25453,9.726013,10.62293,11.08745,9.134411,0.6178844,0.3780668,1.623548,1.927413,2.605722,1.491735,0.7343316,2.560307,2.11172,1.063366,2.231019,1.641301,2.537821,2.374847,0.2581989,0.8513641,1.226475,3.025879,2.362278,2.407794,3.17848,1.590703,1.619803,2.238063,0,1.679606,1.785815,1.185452,0.741646,1.367142,2.509957,1.864326,1.479839,3.126139,2.405103,1.389554,2.423313,2.358592,3.221084,2.36859,1.126757,1.835141,2.368275,4.554461,1.385359,2.355847,0.6500814,1.426919,2.384368,2.686387, + 9.258822,9.521068,9.890318,8.471459,8.080067,9.841341,7.82323,9.363496,8.555335,8.9289,8.858607,8.890196,8.112171,6.709797,7.967484,10.69102,7.813159,8.740806,11.52173,10.24619,8.232488,9.66568,7.25433,8.044913,9.466374,8.43138,8.745446,8.499523,9.154743,7.730141,8.364285,9.171089,6.925688,9.83245,9.525366,9.005647,9.511595,7.856142,7.663486,8.369505,9.505181,8.956163,8.874893,8.636793,8.986079,8.425411,9.623057,8.052165,7.817864,9.719517,8.217207,4.825651,7.811289,6.237803,6.494129,6.622437,6.885102,7.964614,6.826196,6.409495,6.039687,6.977779,7.340427,5.479795,6.911663,5.586007,6.98736,8.126126,7.535828,7.88314,4.888107,6.585823,7.537952,7.418117,6.810927,6.700402,6.949278,6.692937,5.080809,5.518231,6.835774,7.480084,6.372586,5.70431,5.522499,7.695784,7.50505,8.421462,6.156216,7.362789,6.363301,6.244107,6.800561,6.844436,7.158352,5.59174,7.85022,6.51379,5.661204,7.636402,9.219689,10.01621,8.640109,7.598329,7.589856,9.39156,8.451122,8.435696,6.2574,8.431698,7.193219,11.2015,8.358927,8.362209,9.156875,9.151669,8.428102,8.413528,9.268979,8.127505,8.01922,8.404882,10.62269,9.061344,8.765593,10.0893,8.614407,7.751205,10.03328,7.865139,10.3276,8.962007,7.244988,8.136378,9.059903,8.000404,8.730822,9.44547,10.85872,9.451693,7.663524,6.74711,9.814411,9.385375,7.642011,10.22543,8.414058,9.556196,10.0297,8.073277,1.417621,2.032281,1.771984,0.4679944,0.9449986,0.8338187,1.216148,0.964561,0.4487275,1.583046,1.166637,0.5958859,0.8703152,1.154671,1.422894,1.354674,0.6789111,1.630144,0.8370207,0.9114392,2.07039,2.001607,1.763595,0.5672286,1.679606,0,0.7357707,0.6464657,0.9403204,0.5245827,0.8895152,1.898669,0.4024807,1.738753,1.898853,1.897962,0.7590466,1.701985,2.042475,1.035664,0.798795,0.3113089,2.659924,2.902436,0.3121059,2.590468,1.332281,0.9979176,0.7846497,1.033146, + 8.736808,9.02285,9.375154,8.041379,7.49629,9.321944,7.346895,8.811592,8.091299,8.412261,8.355955,8.439649,7.571122,6.199293,7.382653,10.25003,7.281959,8.151973,10.91064,9.695602,7.667236,9.06796,6.723632,7.639644,8.899293,7.82795,8.160891,7.856218,8.609446,7.260321,7.842238,8.627095,6.373808,9.345735,8.920003,8.55776,8.87918,7.411031,7.125084,7.9245,8.952562,8.367238,8.302122,8.214749,8.405785,7.870606,9.113556,7.439346,7.409837,9.21006,7.491974,4.136396,7.088912,5.519194,5.75893,5.891051,6.156721,7.233003,6.091253,5.694905,5.321758,6.242682,6.61018,4.780316,6.181011,4.850865,6.255707,7.394374,6.802566,7.153005,4.17135,5.85673,6.820234,6.712423,6.077818,5.967385,6.220851,5.959854,4.352059,4.790717,6.101682,6.749499,5.63685,4.970214,4.821524,6.960956,6.773537,7.693137,5.442615,6.654234,5.654057,5.649822,6.06518,6.109113,6.42345,4.911466,7.1169,5.778058,4.931645,6.917446,8.74201,9.480061,8.179842,7.011465,6.967967,8.843288,7.938851,7.893218,5.739893,7.903173,6.658024,10.6672,7.924161,7.805489,8.586309,8.533737,7.915381,7.926141,8.735792,7.594597,7.460724,7.763718,10.05616,8.623231,8.21,9.494188,8.127985,7.104136,9.423256,7.383223,9.832749,8.444857,6.877417,7.54778,8.426477,7.467092,8.123547,8.81972,10.41348,8.788572,7.117273,6.225132,9.348985,8.772215,7.108981,9.657721,7.981513,9.00202,9.472813,7.513331,1.776656,2.05976,2.395124,1.18388,1.08882,0.3327981,1.098929,0.9209413,0.9929039,2.084674,0.4999364,0.1807787,1.283553,0.5954235,1.567348,1.119938,1.253765,1.240428,0.6843402,1.546735,2.768171,2.583727,2.387007,0.8672381,1.785815,0.7357707,0,1.187996,1.180495,0.4756332,1.409193,1.258848,0.4477957,2.360952,1.163647,2.445925,1.20874,2.435327,1.486091,0.5868101,1.337908,1.031815,3.30311,3.196811,0.8641323,3.242035,1.701277,0.4913583,1.351721,1.463169, + 9.115057,9.348607,9.735905,8.231729,8.021295,9.6921,7.635121,9.256127,8.349965,8.780264,8.694111,8.669104,7.997203,6.567923,7.910807,10.45315,7.687866,8.685775,11.48978,10.13378,8.147815,9.619534,7.132112,7.78335,9.378367,8.398943,8.684384,8.530429,9.039896,7.53561,8.224859,9.054535,6.832141,9.645899,9.491046,8.781285,9.519888,7.635016,7.547924,8.145344,9.398144,8.900282,8.797059,8.388292,8.918007,8.326119,9.463088,8.035787,7.560275,9.559115,8.450917,5.31862,8.231771,6.671939,6.804766,6.895458,7.139169,8.234348,7.18002,6.610593,6.476028,7.284902,7.603291,5.644726,7.178688,5.941003,7.369348,8.396388,7.905343,8.272054,5.107699,6.845069,7.972639,7.880822,7.09618,6.985311,7.203314,6.978436,5.483234,5.924522,7.199517,7.867279,6.708924,6.003865,5.690859,8.049049,7.886829,8.818428,6.355678,7.540285,6.54818,6.21312,7.113655,7.156161,7.461817,6.096342,8.21863,6.839411,6.057986,7.846648,9.848517,10.62648,9.272802,8.183179,8.151656,9.996546,9.069522,9.042774,6.87263,9.044316,7.80259,11.81284,8.996435,8.962985,9.751203,9.716778,9.046341,9.039467,9.880157,8.738297,8.619011,8.951038,11.2195,9.698519,9.367059,10.67004,9.2407,8.291909,10.60422,8.492284,10.95214,9.57897,7.889895,8.720448,9.612824,8.610975,9.303351,10.00468,11.49511,9.975987,8.268622,7.361153,10.44637,9.953983,8.2525,10.82154,9.051958,10.1586,10.63101,8.67241,0.7946509,1.561762,1.207961,0.7506533,1.572431,1.098233,1.001822,1.610712,0.9961785,0.941604,1.681875,1.008384,1.407999,1.724179,0.9336596,1.203295,0.0806738,2.259887,1.477322,1.222962,2.093701,1.400513,1.199906,1.193974,1.185452,0.6464657,1.187996,0,0.4960195,0.7450049,1.346601,2.05669,0.7402073,1.956183,2.263496,1.275655,1.293169,1.444259,2.630554,1.634733,0.1566732,0.6828847,2.117362,3.387441,0.3537566,2.058875,0.7094334,1.191891,1.216851,1.537572, + 8.625799,8.855969,9.245107,7.735722,7.54879,9.201945,7.141523,8.772509,7.855017,8.290485,8.202466,8.173432,7.512948,6.080288,7.438922,9.957134,7.202054,8.213586,11.02156,9.648902,7.669317,9.148826,6.647213,7.287543,8.898367,7.932831,8.210749,8.083591,8.555078,7.041533,7.736572,8.569422,6.352996,9.151985,9.023465,8.285509,9.064548,7.139442,7.063873,7.64962,8.914517,8.427715,8.319546,7.892292,8.442572,7.844537,8.971724,7.574594,7.064366,9.067677,8.097309,5.187552,8.013967,6.472809,6.505599,6.570722,6.801594,7.903129,6.910845,6.24409,6.279959,6.981379,7.269608,5.263095,6.849057,5.678842,7.121684,8.065072,7.645715,8.026941,4.759479,6.511807,7.768662,7.704289,6.778624,6.667956,6.865493,6.661498,5.262887,5.704517,6.937942,7.622063,6.428628,5.700943,5.310782,7.776338,7.637108,8.578456,5.989285,7.158183,6.173124,5.750528,6.814934,6.856317,7.155143,5.973051,7.957121,6.550717,5.82899,7.481251,9.922169,10.65019,9.360301,8.162286,8.093882,10.00982,9.115386,9.062404,6.916773,9.076285,7.830345,11.83732,9.103137,8.969713,9.743705,9.659986,9.091846,9.105806,9.907185,8.766785,8.624597,8.868608,11.21425,9.802646,9.374292,10.63654,9.307686,8.203937,10.55477,8.563333,11.0113,9.620248,8.042991,8.696743,9.538278,8.639264,9.259065,9.93842,11.59357,9.862491,8.285915,7.400837,10.52947,9.902099,8.281495,10.81555,9.160281,10.16623,10.63559,8.676564,0.6009706,1.10464,1.426411,1.201339,1.875612,0.9606841,0.5496041,1.850746,1.370086,0.9785254,1.670646,1.010311,1.796232,1.772731,0.4837501,0.762332,0.5597681,2.388506,1.669281,1.690364,2.584647,1.533418,1.419636,1.503219,0.741646,0.9403204,1.180495,0.4960195,0,0.7116276,1.773137,1.728626,0.7946551,2.447554,2.073117,1.361994,1.681797,1.882514,2.665469,1.731017,0.506921,1.098986,2.314146,3.815996,0.6437714,2.272527,0.5317172,0.979257,1.649563,1.945999, + 8.735032,8.999144,9.367017,7.959222,7.557021,9.317756,7.303392,8.838918,8.037392,8.405401,8.336169,8.374459,7.587637,6.186362,7.444553,10.17743,7.288843,8.218138,11.00161,9.72161,7.708241,9.143877,6.729988,7.537562,8.942122,7.910586,8.222371,7.987787,8.63018,7.211125,7.84041,8.646541,6.401157,9.311809,9.004641,8.490392,8.996365,7.340944,7.138979,7.854526,8.980606,8.433472,8.350954,8.126196,8.462625,7.900874,9.100149,7.533032,7.309793,9.196625,7.771515,4.577719,7.488875,5.927519,6.089278,6.195682,6.448501,7.537114,6.450403,5.947505,5.731447,6.571145,6.908802,5.002227,6.481908,5.210147,6.632695,7.699016,7.171875,7.534282,4.432141,6.151634,7.228368,7.135931,6.391198,6.280381,6.512718,6.273247,4.741809,5.182765,6.467183,7.129719,5.984321,5.291884,5.046269,7.320069,7.150442,8.079243,5.693243,6.892074,5.894548,5.722693,6.397494,6.440547,6.749621,5.357363,7.485578,6.11851,5.31779,7.179507,9.215142,9.955672,8.651133,7.484307,7.434805,9.318674,8.414071,8.368781,6.215085,8.37878,7.133655,11.14281,8.392125,8.280615,9.060482,9.000944,8.390616,8.399936,9.211424,8.070228,7.935798,8.224849,10.5305,9.09187,8.685145,9.965427,8.601738,7.563572,9.891918,7.856477,10.30727,8.920268,7.33276,8.020289,8.889738,7.942724,8.593045,9.284959,10.88343,9.240622,7.592794,6.700533,9.821054,9.240391,7.584608,10.13201,8.449174,9.477174,9.947807,7.988327,1.303014,1.676838,1.948979,0.9794069,1.28883,0.363989,0.7606477,1.204719,0.944011,1.612648,0.9742129,0.2998682,1.337498,1.062291,1.131165,0.8611317,0.8183131,1.680176,0.9971482,1.436016,2.572949,2.122759,1.941055,0.9573302,1.367142,0.5245827,0.4756332,0.7450049,0.7116276,0,1.394166,1.40392,0.1387347,2.263121,1.522727,1.978467,1.235687,2.102207,1.960778,1.021214,0.8858297,0.8255506,2.859187,3.35541,0.4757836,2.802502,1.226642,0.4971067,1.29931,1.512275, + 10.1133,10.38522,10.74799,9.353373,8.898958,10.69719,8.693808,10.20305,9.429758,9.785564,9.72084,9.768092,8.957026,7.567657,8.785583,11.57155,8.662718,9.556213,12.31926,11.08677,9.063739,10.47441,8.103783,8.930466,10.29692,9.235219,9.563986,9.263933,9.997836,8.602558,9.218338,10.01488,7.764077,10.7007,10.32775,9.884188,10.28809,8.734791,8.509442,9.248418,10.34438,9.771556,9.701584,9.520139,9.807707,9.262957,10.48295,8.847833,8.702977,10.57946,8.806458,5.071724,8.151632,6.571394,7.006993,7.179546,7.461411,8.514906,7.278111,7.045321,6.37212,7.49038,7.903131,6.158149,7.473084,6.051354,7.396621,8.674741,7.958582,8.273765,5.522788,7.158991,7.856366,7.686634,7.351885,7.242798,7.525081,7.234699,5.484606,5.908428,7.27348,7.876768,6.853328,6.240053,6.19737,8.140628,7.909773,8.795396,6.795907,8.014244,7.015129,7.054529,7.307249,7.352448,7.673953,5.798196,8.272006,7.007188,6.064114,8.253912,8.987491,9.87239,8.386564,7.565799,7.628663,9.272812,8.279204,8.31435,6.120243,8.286682,7.072224,11.048,8.071252,8.266498,9.079977,9.168999,8.257116,8.202689,9.125122,7.99263,7.929837,8.479798,10.52915,8.77257,8.664478,10.05349,8.400337,7.845665,10.02827,7.651163,10.11452,8.793789,6.879107,8.101966,9.112114,7.867434,8.7288,9.477885,10.56871,9.57407,7.556142,6.609886,9.559774,9.390967,7.512237,10.13628,8.122779,9.446744,9.922042,7.985981,2.12767,2.877653,2.090995,0.6001313,0.6332798,1.636098,2.104993,0.8729404,0.4502419,2.130752,1.631459,1.351193,0.2173992,1.498738,2.252221,2.242661,1.329779,1.623581,0.9769818,0.3071761,1.482624,2.376461,2.08312,0.5596861,2.509957,0.8895152,1.409193,1.346601,1.773137,1.394166,0,2.666527,1.258757,0.9709654,2.484292,2.342283,0.2159859,1.561696,2.175629,1.321591,1.453704,0.6748273,2.845035,2.044846,1.136308,2.758145,2.044533,1.814586,0.1323465,0.2134713, + 7.497916,7.796159,8.138878,6.865911,6.238503,8.083655,6.138101,7.560601,6.889007,7.176445,7.127816,7.246379,6.325143,4.97172,6.124758,9.059454,6.04069,6.89353,9.65277,8.444542,6.413039,7.809112,5.483578,6.48791,7.644085,6.569188,6.902868,6.607651,7.360852,6.056527,6.60453,7.378963,5.125089,8.125394,7.66141,7.36617,7.626135,6.225785,5.880797,6.73728,7.70126,7.108764,7.045915,7.045389,7.148263,6.619318,7.8805,6.18132,6.256844,7.976903,6.394237,3.655939,6.325956,4.812022,4.776979,4.847201,5.085136,6.183156,5.188836,4.556274,4.624418,5.252894,5.550848,3.60089,5.127929,3.962454,5.411321,6.345193,5.927388,6.316695,3.051033,4.792551,6.095663,6.065272,5.052605,4.941843,5.149219,4.935263,3.585733,4.02436,5.21951,5.912423,4.703017,3.97233,3.645584,6.05224,5.924478,6.87089,4.301492,5.493421,4.497885,4.391357,5.086312,5.127692,5.426973,4.43998,6.237529,4.823065,4.138611,5.791435,8.796335,9.382573,8.282397,6.815086,6.663409,8.722569,7.924082,7.802691,5.765667,7.848452,6.612356,10.56146,8.08672,7.678587,8.408703,8.215421,7.899922,7.97121,8.655833,7.534377,7.335447,7.378748,9.871423,8.767142,8.079265,9.234114,8.17179,6.709486,9.118702,7.451418,9.832751,8.40964,7.196827,7.335534,8.058464,7.40832,7.84493,8.472179,10.51943,8.308324,7.031978,6.224726,9.422754,8.465857,7.058387,9.47416,8.147783,8.863409,9.320924,7.383072,2.233904,1.915963,3.155037,2.366403,2.306265,1.064852,1.232211,2.091332,2.239218,2.681476,1.239332,1.326949,2.541077,1.457414,1.793413,1.042809,2.137283,2.029508,1.860829,2.783264,3.968428,3.247657,3.148258,2.125191,1.864326,1.898669,1.258848,2.05669,1.728626,1.40392,2.666527,0,1.501612,3.60754,0.7172809,3.064651,2.467577,3.485483,1.887562,1.594484,2.156999,2.209801,4.036692,4.382097,1.870246,3.998526,2.194825,0.9073148,2.602855,2.720038, + 8.864467,9.130763,9.497183,8.095147,7.678606,9.447516,7.436503,8.965098,8.171423,8.535313,8.467339,8.50934,7.714872,6.316449,7.565947,10.31295,7.417103,8.339099,11.11931,9.848071,7.832512,9.263593,6.858179,7.674513,9.066384,8.029053,8.343996,8.098119,8.757111,7.34468,7.969712,8.773623,6.526814,9.44437,9.123022,8.625432,9.109457,7.476041,7.26642,7.989676,9.106721,8.554467,8.474329,8.262502,8.584939,8.026534,9.230805,7.649688,7.446625,9.327294,7.847248,4.58186,7.518593,5.952556,6.148023,6.263167,6.520127,7.605205,6.498361,6.030181,5.7557,6.63073,6.978459,5.092215,6.550697,5.257591,6.673158,7.766978,7.215803,7.573013,4.511627,6.222178,7.253748,7.152432,6.455893,6.345163,6.584342,6.337894,4.775808,5.21585,6.512538,7.168849,6.036715,5.353299,5.135594,7.368269,7.191061,8.115834,5.776321,6.97901,5.980389,5.84194,6.455648,6.499031,6.81007,5.358065,7.529842,6.173596,5.353706,7.260074,9.155963,9.910508,8.588067,7.452184,7.413803,9.276478,8.362557,8.32475,6.163809,8.331211,7.087232,11.09745,8.323786,8.240315,9.024294,8.979325,8.339201,8.342673,9.165299,8.023641,7.895837,8.211165,10.49361,9.024374,8.644693,9.936777,8.544322,7.551797,9.867982,7.797816,10.2522,8.870089,7.251756,7.988942,8.87349,7.896188,8.567751,9.266132,10.81773,9.236189,7.549425,6.650615,9.75937,9.217267,7.537851,10.09534,8.380412,9.436599,9.908099,7.948782,1.369605,1.799297,1.947464,0.8668452,1.155383,0.439745,0.8959326,1.082274,0.8085306,1.646818,0.9434692,0.2688129,1.198993,1.004368,1.237501,0.9998607,0.8063694,1.596537,0.8833688,1.310797,2.467318,2.137273,1.939358,0.8193378,1.479839,0.4024807,0.4477957,0.7402073,0.7946551,0.1387347,1.258757,1.501612,0,2.13923,1.563902,2.002664,1.097678,2.036194,1.910702,0.9426817,0.8906642,0.7108742,2.855835,3.216936,0.4248557,2.795422,1.289924,0.5969412,1.166477,1.374102, + 10.99215,11.24729,11.62157,10.16764,9.817596,11.57374,9.543174,11.10165,10.26886,10.66108,10.58683,10.59661,9.84942,8.442161,9.704853,12.38938,9.549046,10.47773,13.2537,11.98411,9.971239,11.40108,8.990402,9.727315,11.20512,10.16507,10.48299,10.21436,10.89226,9.447565,10.09809,10.90844,8.664184,11.55414,11.25877,10.71048,11.23357,9.561838,9.400533,10.07404,11.24337,10.69311,10.61347,10.32788,10.72413,10.16388,11.35284,9.782765,9.502723,11.44923,9.774626,5.951079,9.054193,7.477079,7.964895,8.144714,8.428786,9.478074,8.221075,8.016286,7.278273,8.447598,8.868552,7.126889,8.43862,7.000612,8.326493,9.637528,8.891462,9.19513,6.493712,8.126191,8.750811,8.559527,8.314468,8.205716,8.492365,8.197523,6.419188,6.83703,8.212421,8.801213,7.804509,7.203025,7.16646,9.079907,8.836874,9.709425,7.766854,8.985072,7.985848,7.979279,8.263483,8.308898,8.631559,6.652801,9.203929,7.961,6.996106,9.224323,9.500649,10.45904,8.884637,8.258493,8.370981,9.884656,8.853354,8.931275,6.748643,8.883992,7.701468,11.61956,8.538961,8.904705,9.727163,9.886329,8.83228,8.742654,9.716779,8.601113,8.575937,9.240248,11.15435,9.232359,9.295196,10.72687,8.935494,8.622515,10.72486,8.193851,10.63745,9.366835,7.280257,8.788848,9.853919,8.478667,9.434965,10.20414,11.01367,10.35913,8.191322,7.231455,10.04693,10.09866,8.129594,10.76718,8.586337,10.06515,10.53898,8.633246,2.613321,3.504157,2.167028,1.297947,1.541652,2.553759,2.888445,1.801598,1.3694,2.438996,2.601992,2.280888,1.153604,2.46315,2.882673,3.058008,1.904617,2.495691,1.938463,0.8287579,0.6447609,2.461674,2.161285,1.529971,3.126139,1.738753,2.360952,1.956183,2.447554,2.263121,0.9709654,3.60754,2.13923,0,3.455116,2.507521,1.186184,1.284319,3.068033,2.284497,1.999385,1.443526,2.660462,1.774037,1.890331,2.564822,2.542829,2.726677,1.009802,1.009805, + 7.935033,8.260358,8.580519,7.407812,6.594615,8.520332,6.640747,7.956729,7.397646,7.622694,7.591569,7.765735,6.746076,5.448892,6.480037,9.576534,6.477872,7.236203,9.943399,8.837468,6.797613,8.131072,5.92757,7.054884,8.01716,6.888189,7.252704,6.844551,7.767688,6.567026,7.048513,7.787501,5.543433,8.600633,7.970443,7.887215,7.882314,6.75954,6.309753,7.266272,8.095478,7.449882,7.413948,7.593036,7.503516,7.017974,8.330698,6.485275,6.823744,8.426544,6.339493,3.121518,5.968658,4.412739,4.595332,4.730537,5.000234,6.071984,4.934832,4.561892,4.217921,5.079051,5.450956,3.679632,5.021368,3.694029,5.110735,6.233175,5.652061,6.011799,3.038725,4.699348,5.712366,5.634477,4.915322,4.804991,5.06427,4.797395,3.219765,3.661026,4.948637,5.607323,4.475883,3.806942,3.71759,5.804753,5.628572,6.556516,4.311975,5.529962,4.530866,4.749438,4.901708,4.94559,5.259804,3.908731,5.966049,4.615528,3.795145,5.775164,8.116309,8.73767,7.593035,6.191878,6.075691,8.082622,7.256512,7.152768,5.083732,7.189826,5.948264,9.920536,7.388072,7.037931,7.784273,7.637443,7.232451,7.291498,8.005103,6.876304,6.693419,6.824306,9.251963,8.072046,7.440648,8.637724,7.492698,6.156777,8.537701,6.766403,9.165273,7.747657,6.482296,6.718911,7.499115,6.749579,7.251743,7.905842,9.832342,7.797604,6.378665,5.549554,8.740037,7.884099,6.39677,8.85366,7.448722,8.228672,8.690817,6.742532,2.649376,2.528859,3.452591,2.344898,1.99124,1.165364,1.691736,1.74021,2.117261,3.050912,0.8607589,1.311738,2.315195,1.038191,2.276519,1.554187,2.339025,1.455285,1.544819,2.671557,3.91066,3.597191,3.444963,1.925236,2.405103,1.898853,1.163647,2.263496,2.073117,1.522727,2.484292,0.7172809,1.563902,3.455116,0,3.432947,2.269825,3.593495,1.20338,1.212412,2.395662,2.194461,4.3601,3.948163,1.986503,4.308847,2.59294,1.097404,2.454454,2.481608, + 9.38624,9.559644,9.978081,8.320416,8.46906,9.945046,7.842249,9.59572,8.508779,9.04664,8.930376,8.790031,8.341173,6.890421,8.364175,10.51537,8.017704,9.130292,11.94642,10.45328,8.546106,10.06837,7.478972,7.833187,9.752958,8.88808,9.117955,9.12722,9.368103,7.731668,8.517951,9.379278,7.239304,9.824573,9.96267,8.89361,10.06627,7.774132,7.898951,8.268514,9.736554,9.340326,9.198252,8.455516,9.335539,8.694287,9.697631,8.558613,7.623209,9.791573,9.360241,6.539478,9.373213,7.834578,7.829911,7.872593,8.088943,9.194495,8.253298,7.495533,7.641871,8.301237,8.559914,6.496503,8.145031,7.026448,8.473327,9.35594,8.991956,9.378808,6.044053,7.804971,9.12988,9.065942,8.086821,7.976644,8.152345,7.970589,6.622917,7.064352,8.284059,8.974184,7.765706,7.024547,6.546447,9.115784,8.987543,9.931767,7.242243,8.379314,7.411483,6.746674,8.138892,8.179333,8.472039,7.32306,9.30218,7.882315,7.187069,8.728944,11.11738,11.90207,10.53801,9.454668,9.41295,11.27211,10.34373,10.31843,8.147476,10.31968,9.078191,13.08838,10.25491,10.23818,11.02515,10.97897,10.32059,10.31034,11.15568,10.01383,9.894098,10.20241,12.49388,10.95751,10.64232,11.93938,10.51136,9.540325,11.8691,9.76235,12.22389,10.85358,9.125811,9.991527,10.868,9.886523,10.56947,11.26342,12.75529,11.21071,9.544226,8.636248,11.71236,11.21792,9.528045,12.0958,10.30973,11.43394,11.9062,9.947396,0.8412671,1.647641,0.3686392,1.794463,2.752129,2.294037,1.834688,2.840304,2.140698,0.3846128,2.945082,2.265184,2.481937,2.998555,1.324031,2.035858,1.225653,3.527195,2.734527,2.09528,2.289246,0.20132,0.3714362,2.391384,1.389554,1.897962,2.445925,1.275655,1.361994,1.978467,2.342283,3.064651,2.002664,2.507521,3.432947,0,2.378739,1.339064,3.905592,2.909982,1.11946,1.816667,0.9888283,4.221739,1.627763,0.9686663,0.8708527,2.336106,2.214804,2.55556, + 9.930072,10.20676,10.56612,9.188803,8.704055,10.51447,8.519653,10.01398,9.258185,9.603411,9.541471,9.599346,8.770151,7.386722,8.590508,11.40507,8.47776,9.360264,12.11885,10.89788,8.872253,10.27668,7.918959,8.77097,10.10493,9.036677,9.368824,9.058464,9.810058,8.429702,9.035133,9.827352,7.575286,10.52459,10.12865,9.716012,10.08424,8.566974,8.323113,9.080727,10.15516,9.575555,9.508597,9.357293,9.613299,9.073422,10.30221,8.647703,8.542823,10.39874,8.590492,4.872109,7.94593,6.365462,6.791756,6.963621,7.245425,8.299103,7.065073,6.830281,6.166156,7.275212,7.687189,5.945243,7.257139,5.837402,7.185854,8.458966,7.747208,8.064443,5.308001,6.943005,7.652343,7.487067,7.136142,7.027027,7.309095,7.018936,5.273301,5.69816,7.061121,7.66693,6.63902,6.024292,5.984244,7.928134,7.699444,8.587375,6.581032,7.799625,6.800674,6.858183,7.092211,7.137382,7.458732,5.603515,8.060769,6.79249,5.853174,8.038292,8.866458,9.734088,8.269647,7.405844,7.457514,9.12939,8.145227,8.170689,5.977047,8.14747,6.927276,10.91221,7.961644,8.118099,8.928838,9.002264,8.122935,8.076531,8.986339,7.851227,7.780009,8.304021,10.38185,8.663807,8.517376,9.895871,8.275023,7.666693,9.865567,7.525131,9.990208,8.6595,6.786819,7.9428,8.940041,7.725555,8.564828,9.309006,10.4614,9.392382,7.40921,6.467404,9.443977,9.226211,7.369407,9.98798,8.014038,9.301717,9.776978,7.835831,2.086452,2.78347,2.153859,0.5874205,0.4528925,1.451721,1.969308,0.6728719,0.3125903,2.137457,1.415857,1.163444,0.115235,1.283147,2.165194,2.09396,1.289176,1.435421,0.7624988,0.4781081,1.69341,2.430358,2.145734,0.3478992,2.423313,0.7590466,1.20874,1.293169,1.681797,1.235687,0.2159859,2.467577,1.097678,1.186184,2.269825,2.378739,0,1.709016,1.977774,1.106361,1.416506,0.6110008,2.946475,2.143499,1.038034,2.862491,2.001667,1.631377,0.2370344,0.2769731, + 10.45954,10.66821,11.06975,9.489299,9.423379,11.03035,8.948385,10.62671,9.643025,10.12204,10.02315,9.94445,9.366504,7.924815,9.31419,11.70183,9.051246,10.08826,12.89921,11.49874,9.535604,11.02469,8.499928,9.018687,10.76106,9.812419,10.08381,9.964844,10.40598,8.843539,9.575865,10.41939,8.219167,10.95147,10.90191,10.05258,10.94705,8.9163,8.918483,9.420337,10.76858,10.30191,10.18711,9.634931,10.31322,9.704555,10.79315,9.4563,8.801977,10.88848,9.872059,6.493689,9.508266,7.932267,8.18395,8.29732,8.550654,9.638987,8.526308,8.041327,7.733694,8.666797,9.01096,7.083032,8.58392,7.285741,8.68934,9.800857,9.237568,9.584826,6.530635,8.253839,9.230969,9.098871,8.491459,8.380692,8.61487,8.373472,6.782197,7.219049,8.536998,9.181902,8.069365,7.389481,7.12856,9.396088,9.207019,10.12238,7.786637,8.977532,7.983102,7.632066,8.491403,8.534874,8.846235,7.247089,9.551939,8.208062,7.362811,9.275613,10.54302,11.43408,9.939056,9.114379,9.158412,10.83375,9.84059,9.875181,7.68109,9.848321,8.632572,12.60957,9.616772,9.825348,10.63715,10.70708,9.818535,9.761471,10.6868,9.553985,9.487835,9.998084,12.08865,10.31673,10.22401,11.60477,9.958652,9.35532,11.57291,9.209984,11.67198,10.35521,8.402577,9.651491,10.6393,9.428692,10.27161,11.01183,12.11024,11.07384,9.115697,8.170952,11.11087,10.93244,9.073262,11.69526,9.667304,11.00717,11.48247,9.543777,1.75041,2.711003,0.9717473,1.302312,2.161028,2.46464,2.426669,2.355688,1.635922,1.40673,2.857755,2.281775,1.76868,2.810735,2.168765,2.635428,1.364486,3.124905,2.365119,1.254594,0.9525154,1.243695,0.9682883,1.913089,2.358592,1.701985,2.435327,1.444259,1.882514,2.102207,1.561696,3.485483,2.036194,1.284319,3.593495,1.339064,1.709016,0,3.634274,2.661151,1.379675,1.431673,1.383242,3.0579,1.62645,1.288471,1.708847,2.592407,1.476777,1.749, + 9.012305,9.359118,9.659108,8.565578,7.606904,9.594826,7.774681,8.997243,8.533223,8.709086,8.692459,8.907789,7.815679,6.570794,7.49255,10.71309,7.562735,8.230236,10.86545,9.870683,7.834736,9.097644,7.021477,8.228016,9.035559,7.861595,8.253634,7.731462,8.819014,7.706657,8.135759,8.840264,6.619805,9.707264,8.924676,9.030132,8.780059,7.913803,7.388929,8.416105,9.133489,8.440751,8.431287,8.753974,8.507911,8.066316,9.417543,7.447492,7.997256,9.512564,6.86114,2.896237,5.987092,4.409186,4.979788,5.209816,5.516147,6.515671,5.1831,5.219357,4.210317,5.455767,5.92952,4.464312,5.504497,3.98606,5.267962,6.671458,5.835496,6.129658,3.754308,5.214626,5.686597,5.511046,5.355858,5.2506,5.577834,5.241754,3.371799,3.779777,5.16654,5.737698,4.791392,4.259392,4.492706,6.032739,5.775269,6.641634,4.985568,6.197902,5.224785,5.784452,5.268094,5.314236,5.640554,3.62649,6.146502,4.956949,3.942657,6.36535,7.256886,7.99994,6.697778,5.557279,5.550647,7.367143,6.453558,6.414572,4.254569,6.420562,5.176547,9.186833,6.44965,6.332593,7.121178,7.110724,6.430132,6.440349,7.254614,6.112941,5.988524,6.374538,8.589096,7.146812,6.736748,8.047398,6.642223,5.726298,7.991031,5.898012,8.346663,6.960285,5.441228,6.095144,7.024447,5.98549,6.688479,7.406604,8.933752,7.440294,5.639616,4.740604,7.865383,7.343538,5.627149,8.19122,6.507726,7.528416,8.000604,6.041876,3.262734,3.442595,3.811636,2.342728,1.54582,1.735269,2.493471,1.304942,1.998352,3.556595,0.9979879,1.661486,1.960796,0.907496,3.025225,2.437027,2.68511,0.5758858,1.269613,2.454948,3.647387,4.028118,3.80328,1.722543,3.221084,2.042475,1.486091,2.630554,2.665469,1.960778,2.175629,1.887562,1.910702,3.068033,1.20338,3.905592,1.977774,3.634274,0,1.006812,2.786315,2.235582,4.702268,3.038363,2.281202,4.632015,3.187247,1.797337,2.212374,2.069919, + 9.077859,9.384363,9.720735,8.458357,7.777409,9.663781,7.731972,9.123093,8.483354,8.759263,8.715596,8.840805,7.897927,6.561148,7.66302,10.65385,7.619534,8.42454,11.14753,10.00602,7.968554,9.326658,7.064243,8.074417,9.194351,8.083645,8.438511,8.055113,8.928325,7.650858,8.186214,8.947231,6.695344,9.716121,9.169425,8.960534,9.091236,7.819499,7.456379,8.331281,9.262901,8.638938,8.592787,8.636711,8.687526,8.182262,9.464937,7.684343,7.843602,9.56122,7.491122,3.832849,6.871178,5.291264,5.685426,5.860252,6.14474,7.194324,5.962542,5.746781,5.092073,6.168858,6.584069,4.88559,6.154127,4.73264,6.090877,7.353989,6.649883,6.97462,4.229127,5.842061,6.585284,6.440908,6.031012,5.922064,6.208262,5.913923,4.177219,4.605878,5.960655,6.575271,5.533486,4.919307,4.922353,6.827092,6.605908,7.502498,5.499705,6.720352,5.723938,5.928571,5.98586,6.031024,6.352395,4.586933,6.963843,5.686382,4.758145,6.946421,8.219446,8.992283,7.648565,6.56326,6.55562,8.363895,7.435086,7.40933,5.237924,7.409703,6.168445,10.17848,7.381734,7.332122,8.124185,8.116703,7.411878,7.40819,8.245765,7.103927,6.988622,7.374582,9.591014,8.082571,7.735891,9.053885,7.609633,6.723182,8.997726,6.862058,9.319709,7.944324,6.312,7.101239,8.027391,6.976638,7.695222,8.411445,9.87659,8.429999,6.635792,5.726423,8.82071,8.350007,6.618159,9.193456,7.438236,8.527052,9.000009,7.04238,2.312283,2.64657,2.805725,1.359353,0.7800719,0.909666,1.685252,0.5281213,1.039732,2.570445,0.3654385,0.7296986,1.131108,0.179497,2.144076,1.695478,1.685393,0.6595688,0.3460426,1.556251,2.79542,3.026549,2.797357,0.7874152,2.36859,1.035664,0.5868101,1.634733,1.731017,1.021214,1.321591,1.594484,0.9426817,2.284497,1.212412,2.909982,1.106361,2.661151,1.006812,0,1.791295,1.240577,3.695498,2.790752,1.282261,3.625517,2.232495,1.042597,1.319816,1.286487, + 9.127831,9.353992,9.745586,8.220563,8.055703,9.703106,7.637964,9.277793,8.347687,8.792074,8.702,8.662475,8.018044,6.583758,7.945818,10.44097,7.70647,8.720494,11.52825,10.15364,8.175895,9.655683,7.152094,7.766775,9.404659,8.439234,8.717668,8.585207,9.059886,7.536905,8.239439,9.074096,6.859513,9.647496,9.530069,8.773714,9.568796,7.629304,7.569074,8.138351,9.419791,8.934631,8.826237,8.374669,8.949434,8.350494,9.471552,8.080148,7.544985,9.567405,8.548931,5.463243,8.364139,6.80718,6.918689,7.002263,7.242128,8.33956,7.301475,6.703596,6.611717,7.397818,7.707593,5.731653,7.284114,6.063589,7.495607,8.501606,8.029165,8.399082,5.206398,6.949281,8.107416,8.020035,7.205141,7.094295,7.306214,7.087537,5.614185,6.05575,7.322707,7.994187,6.827588,6.116477,5.778415,8.169921,8.012796,8.946631,6.448638,7.627593,6.637976,6.256258,7.227797,7.270019,7.57393,6.242194,8.342109,6.956044,6.187558,7.94038,10.00509,10.78284,9.429166,8.337885,8.304113,10.15265,9.226157,9.199008,7.029212,9.200792,7.958954,11.96924,9.152303,9.118861,9.90661,9.869466,9.202973,9.196112,10.03657,8.894707,8.774834,9.101626,11.37506,9.85444,9.522969,10.82426,9.397338,8.441914,10.75747,8.648901,11.10881,9.735573,8.043617,8.875058,9.76415,8.767377,9.456838,10.15669,11.65114,10.12368,8.424768,7.517696,10.60279,10.10703,8.408903,10.97705,9.20777,10.31455,10.78688,8.828188,0.6740175,1.504792,1.063157,0.8535929,1.714842,1.231123,1.047016,1.761535,1.127769,0.7858865,1.833778,1.15762,1.530398,1.879596,0.8857572,1.256029,0.1279081,2.416203,1.632206,1.304235,2.08837,1.247059,1.055242,1.337872,1.126757,0.798795,1.337908,0.1566732,0.506921,0.8858297,1.453704,2.156999,0.8906642,1.999385,2.395662,1.11946,1.416506,1.379675,2.786315,1.791295,0,0.8062092,1.973374,3.484628,0.5103598,1.917352,0.5908941,1.312865,1.322186,1.651242, + 9.548708,9.805684,10.17849,8.740495,8.381921,10.13044,8.103913,9.659327,8.832617,9.217801,9.14453,9.163997,8.406406,6.998807,8.269543,10.96138,8.105612,9.043284,11.8271,10.54151,8.531161,9.969342,7.547009,8.307986,9.76498,8.736133,9.047236,8.808986,9.449375,8.009399,8.654593,9.465461,7.222567,10.11431,9.830186,9.278717,9.819872,8.129426,7.957432,8.642333,9.801103,9.258603,9.17467,8.903654,9.287104,8.722119,9.910116,8.358287,8.081884,10.00653,8.521755,5.066922,8.077324,6.500807,6.788678,6.922853,7.187846,8.264817,7.111675,6.71756,6.302179,7.272608,7.641839,5.790149,7.212736,5.872482,7.265663,8.426188,7.816941,8.1588,5.195476,6.888083,7.799329,7.668819,7.109447,6.999043,7.251994,6.991494,5.355765,5.791332,7.118893,7.756539,6.662288,6.001403,5.832704,7.980733,7.782972,8.694417,6.464487,7.672112,6.672443,6.54823,7.094442,7.138535,7.453703,5.825536,8.131387,6.805528,5.936888,7.943362,9.334743,10.16031,8.747436,7.772973,7.784379,9.542808,8.584859,8.585144,6.398516,8.573851,7.341058,11.34347,8.45432,8.519326,9.320448,9.342091,8.562107,8.53472,9.41239,8.272424,8.177805,8.610021,10.78257,9.157126,8.921544,10.26564,8.734779,7.960688,10.21828,7.98461,10.44991,9.097482,7.311169,8.311189,9.259685,8.145746,8.915468,9.640274,10.95558,9.66999,7.816218,6.889185,9.922527,9.572773,7.787845,10.38631,8.508274,9.710418,10.18487,8.232553,1.475472,2.203169,1.635775,0.1566859,0.9360706,1.144993,1.463794,1.037094,0.3279085,1.546249,1.42712,0.9030587,0.7255068,1.3825,1.577395,1.621396,0.678605,1.772022,0.9766622,0.6254089,1.759081,1.892233,1.627395,0.5782417,1.835141,0.3113089,1.031815,0.6828847,1.098986,0.8255506,0.6748273,2.209801,0.7108742,1.443526,2.194461,1.816667,0.6110008,1.431673,2.235582,1.240577,0.8062092,0,2.490407,2.719454,0.4699855,2.414558,1.390736,1.307645,0.5506379,0.8569664, + 10.23819,10.38699,10.816,9.102866,9.384376,10.78737,8.678477,10.4718,9.320575,9.898448,9.771174,9.583518,9.224451,7.775429,9.281521,11.27138,8.89792,10.04221,12.8544,11.31887,9.446138,10.97859,8.368026,8.601891,10.64046,9.813574,10.02662,10.07871,10.24111,8.564331,9.382473,10.251,8.148525,10.63706,10.87998,9.68257,11.00374,8.583051,8.786932,9.066699,10.61165,10.25018,10.09655,9.227079,10.23849,9.58395,10.5338,9.494054,8.399889,10.62646,10.34907,7.435905,10.32212,8.772468,8.80967,8.858123,9.076466,10.18175,9.223925,8.484319,8.577941,9.282598,9.547202,7.484868,9.13154,7.992879,9.435611,10.34327,9.959667,10.34078,7.03139,8.791789,10.07127,9.991303,9.071174,8.960867,9.139928,8.954722,7.5705,8.012327,9.251847,9.935867,8.739674,8.004349,7.534896,10.08851,9.951183,10.89184,8.231057,9.366384,8.399891,7.691474,9.118846,9.159627,9.45432,8.213594,10.2709,8.859106,8.139507,9.717562,11.80851,12.64985,11.21443,10.25608,10.24869,12.03321,11.07134,11.0755,8.888006,11.06315,9.831359,13.83237,10.90812,11.00932,11.80902,11.81122,11.04871,11.01399,11.90187,10.76231,10.66753,11.05837,13.27221,11.61026,11.41171,12.74785,11.21331,10.40169,12.6932,10.46305,12.92887,11.58454,9.724142,10.79425,11.71638,10.63571,11.39072,12.10393,13.40774,12.09138,10.30659,9.378762,12.3891,12.04525,10.27791,12.87571,10.96048,12.20076,12.67516,10.72215,1.828743,2.594322,0.9102196,2.415407,3.375959,3.200475,2.813033,3.520338,2.781318,1.36159,3.791102,3.124592,3.029573,3.809949,2.312857,3.017802,2.049466,4.261997,3.464265,2.549868,2.21731,0.7942078,0.9181329,3.057813,2.368275,2.659924,3.30311,2.117362,2.314146,2.859187,2.845035,4.036692,2.855835,2.660462,4.3601,0.9888283,2.946475,1.383242,4.702268,3.695498,1.973374,2.490407,0,4.433616,2.443851,0.09598607,1.852914,3.265556,2.736494,3.050389, + 11.86654,12.17511,12.51004,11.23293,10.54261,12.45243,10.51974,11.90235,11.26941,11.54901,11.50633,11.62365,10.68377,9.351815,10.42802,13.43599,10.40812,11.18261,13.86812,12.78397,10.74451,12.07198,9.853602,10.83582,11.96527,10.83,11.2,10.74626,11.71075,10.43711,10.97568,11.73011,9.48073,12.5066,11.90724,11.74272,11.79198,10.59862,10.24371,11.11142,12.0415,11.3959,11.36211,11.4081,11.45121,10.96256,12.25508,10.4233,10.60582,12.35132,9.854536,5.551717,8.642464,7.124401,7.937006,8.202851,8.51858,9.47825,8.058972,8.254507,6.934819,8.400229,8.914072,7.496624,8.495499,6.924492,8.075983,9.629618,8.645221,8.874902,6.791515,8.219761,8.309606,8.034325,8.331773,8.230124,8.578904,8.220892,6.263594,6.627764,8.022502,8.507167,7.718159,7.25667,7.526429,8.871079,8.55717,9.33963,8.022574,9.232057,8.262613,8.697488,8.210814,8.257217,8.583821,6.125294,8.94473,7.893389,6.800763,9.383928,8.131397,9.190478,7.503078,7.231801,7.455585,8.667251,7.58874,7.739316,5.637465,7.658117,6.560933,10.31353,7.121337,7.752758,8.577314,8.879753,7.56974,7.425353,8.466993,7.400581,7.446082,8.349747,9.943709,7.794126,8.121754,9.613329,7.607469,7.789197,9.65949,6.891429,9.268211,8.091541,5.801474,7.737102,8.905115,7.285681,8.411699,9.212558,9.53809,9.512439,7.049364,6.090381,8.63457,9.066945,6.955737,9.571641,7.162441,8.856702,9.321304,7.504396,4.154532,4.920531,3.903118,2.636841,2.108615,3.501853,4.105714,2.295371,2.455366,4.08892,3.153444,3.217049,2.032429,2.941973,4.296547,4.215673,3.364533,2.544524,2.531151,2.188685,2.284422,4.200685,3.896646,2.398931,4.554461,2.902436,3.196811,3.387441,3.815996,3.35541,2.044846,4.382097,3.216936,1.774037,3.948163,4.221739,2.143499,3.0579,3.038363,2.790752,3.484628,2.719454,4.433616,0,3.174877,4.33785,4.073549,3.677819,2.172072,1.872131, + 9.108776,9.358794,9.735998,8.280381,7.966969,9.689235,7.653201,9.229482,8.378557,8.776543,8.699365,8.707063,7.973963,6.558529,7.855246,10.50181,7.670175,8.629892,11.42281,10.11041,8.107834,9.559382,7.112197,7.844676,9.341039,8.330576,8.631797,8.428329,9.017299,7.557328,8.215552,9.032903,6.795895,9.66433,9.424405,8.821223,9.430397,7.672313,7.524652,8.184778,9.371395,8.845005,8.753759,8.442229,8.869417,8.294376,9.466201,7.958481,7.619074,9.562525,8.246641,5.000234,7.943447,6.37717,6.56332,6.671397,6.924216,8.012872,6.919576,6.420465,6.180237,7.04546,7.384585,5.471028,6.957682,5.678939,7.096795,8.174769,7.63851,7.997046,4.906497,6.627404,7.678366,7.575327,6.866623,6.755816,6.988433,6.748662,5.200439,5.640573,6.934743,7.592793,6.455837,5.766631,5.51554,7.789421,7.614679,8.540237,6.166049,7.362615,6.365891,6.141806,6.87136,6.914521,7.224182,5.774285,7.952453,6.59123,5.778134,7.653237,9.49476,10.27452,8.919184,7.836501,7.811345,9.645498,8.716389,8.691299,6.519796,8.691934,7.450659,11.46073,8.643489,8.612714,9.402379,9.375707,8.693225,8.685762,9.528024,8.386184,8.26892,8.615721,10.8702,9.345491,9.016671,10.32465,8.886983,7.958235,10.26154,8.138542,10.59851,9.226015,7.540892,8.374026,9.275458,8.258891,8.960092,9.665414,11.1419,9.648184,7.917465,7.008499,10.0927,9.611914,7.900412,10.47237,8.699101,9.808064,10.28071,8.32246,1.10617,1.746442,1.53974,0.5967397,1.256719,0.838922,1.000038,1.271094,0.7263932,1.294817,1.34726,0.6901616,1.152467,1.376688,1.127308,1.168397,0.403909,1.906373,1.127084,1.088726,2.135745,1.746987,1.531498,0.8782483,1.385359,0.3121059,0.8641323,0.3537566,0.6437714,0.4757836,1.136308,1.870246,0.4248557,1.890331,1.986503,1.627763,1.038034,1.62645,2.281202,1.282261,0.5103598,0.4699855,2.443851,3.174877,0,2.380681,1.020958,0.9682794,1.016836,1.30343, + 10.26218,10.41518,10.84251,9.13753,9.39523,10.81314,8.704797,10.49133,9.350974,9.922392,9.796998,9.616728,9.242326,7.7926,9.291863,11.31019,8.916337,10.05398,12.86742,11.34055,9.460528,10.99089,8.38453,8.638304,10.65772,9.821933,10.03915,10.07942,10.2612,8.591205,9.404006,10.27135,8.160582,10.66765,10.89055,9.716463,11.00893,8.613679,8.803755,9.09908,10.6314,10.26246,10.11143,9.263296,10.25236,9.600586,10.56056,9.499664,8.435136,10.65345,10.32463,7.376978,10.27388,8.721586,8.773887,8.826908,9.047846,10.15262,9.183366,8.461023,8.52666,9.247819,9.518158,7.463494,9.101433,7.950812,9.391742,10.31425,9.91778,10.29667,7.002682,8.762121,10.02102,9.937285,9.038785,8.928371,9.111403,8.922146,7.522441,7.964259,9.210091,9.89171,8.700724,7.968711,7.513264,10.04879,9.907729,10.84701,8.207449,9.347511,8.378346,7.69405,9.083147,9.124143,9.420186,8.153424,10.22938,8.821584,8.092692,9.695214,11.72654,12.57209,11.13155,10.18376,10.18026,11.95668,10.99216,10.99876,8.810329,10.98526,9.754526,13.75415,10.82383,10.93387,11.73465,11.7421,10.96958,10.93301,11.82407,10.68489,10.59236,10.9924,13.19711,11.52584,11.33604,12.67588,11.13218,10.33659,12.623,10.38196,12.84772,11.50554,9.637045,10.72197,11.64929,10.55838,11.32037,12.03578,13.3231,12.02885,10.23047,9.301126,12.30609,11.97551,10.2007,12.80081,10.87604,12.12473,12.59926,10.64709,1.803195,2.593445,0.8562594,2.33635,3.294157,3.14699,2.779145,3.441914,2.702101,1.332562,3.727659,3.064232,2.94435,3.74244,2.290269,2.985685,1.989423,4.186568,3.389732,2.461745,2.121927,0.7696657,0.8638857,2.979497,2.355847,2.590468,3.242035,2.058875,2.272527,2.802502,2.758145,3.998526,2.795422,2.564822,4.308847,0.9686663,2.862491,1.288471,4.632015,3.625517,1.917352,2.414558,0.09598607,4.33785,2.380681,0,1.823206,3.216291,2.650774,2.962678, + 8.756327,8.960405,9.363891,7.783401,7.755613,9.325388,7.240357,8.933363,7.934203,8.418297,8.31679,8.236601,7.673695,6.228001,7.648074,9.99823,7.35589,8.419812,11.23547,9.802103,7.854426,9.357914,6.807429,7.316485,9.07474,8.158345,8.412162,8.356288,8.710609,7.135122,7.875151,8.723449,6.539657,9.242716,9.242369,8.345143,9.31596,7.207822,7.226878,7.712401,9.075047,8.632223,8.506859,7.930882,8.637219,8.016591,9.086708,7.814552,7.098378,9.181906,8.502926,5.712042,8.510283,6.977966,6.959421,7.005219,7.224712,8.329634,7.382952,6.640731,6.786421,7.4312,7.695138,5.64644,7.2789,6.15719,7.605151,8.49123,8.122171,8.510618,5.179545,6.939343,8.270734,8.215824,7.218371,7.108094,7.288252,7.101972,5.761791,6.202763,7.414307,8.10614,6.894939,6.154046,5.695724,8.245109,8.118867,9.06415,6.38682,7.534916,6.560671,5.992999,7.26845,7.308974,7.602368,6.498302,8.432152,7.011476,6.323226,7.875991,10.44148,11.1783,9.876144,8.69367,8.625238,10.53902,9.640026,9.590789,7.441101,9.603081,8.357468,12.36547,9.613596,9.49942,10.27456,10.19128,9.616542,9.626535,10.43478,9.294005,9.154362,9.398243,11.74506,10.31406,9.904003,11.16825,9.828325,8.733142,11.08629,9.082893,11.53386,10.14574,8.536881,9.22825,10.06851,9.166487,9.790729,10.4692,12.10697,10.38791,8.81444,7.926069,11.04668,10.43356,8.808549,11.34638,9.670272,10.69599,11.16566,9.206461,0.08559222,1.006565,1.020397,1.444457,2.273343,1.492387,0.963914,2.290073,1.705511,0.4913309,2.196239,1.526357,2.116242,2.287657,0.4899909,1.165566,0.7153516,2.883524,2.132348,1.888715,2.545403,1.059041,1.015312,1.89404,0.6500814,1.332281,1.701277,0.7094334,0.5317172,1.226642,2.044533,2.194825,1.289924,2.542829,2.59294,0.8708527,2.001667,1.708847,3.187247,2.232495,0.5908941,1.390736,1.852914,4.073549,1.020958,1.823206,0,1.50567,1.91307,2.241078, + 8.299489,8.575525,8.935022,7.571628,7.092695,8.883668,6.890607,8.389233,7.63133,7.972386,7.910117,7.975709,7.142489,5.755391,6.979723,9.784063,6.848256,7.752019,10.52756,9.272818,7.252032,8.674504,6.289342,7.163895,8.485628,7.43844,7.758041,7.501617,8.183478,6.801767,7.404525,8.200452,5.95025,8.89414,8.532197,8.093099,8.514068,6.944979,6.69486,7.458706,8.530643,7.967409,7.891726,7.743085,8.000202,7.449475,8.670887,7.057101,6.934557,8.76741,7.279652,4.208298,7.057615,5.50727,5.613769,5.710708,5.959834,7.051212,5.989202,5.452202,5.313123,6.094393,6.421664,4.505185,5.995643,4.750898,6.183139,7.213195,6.71631,7.086913,3.938624,5.663939,6.80574,6.731826,5.9089,5.798037,6.024038,5.791044,4.3063,4.748098,6.009916,6.681978,5.51711,4.813718,4.549291,6.857946,6.700208,7.635149,5.197806,6.395422,5.398195,5.252733,5.922533,5.965165,6.27179,4.993887,7.029288,5.647583,4.877679,6.685008,9.02728,9.717382,8.478807,7.207905,7.125127,9.071366,8.199988,8.129102,6.005784,8.151067,6.904728,10.90382,8.240695,8.028749,8.794106,8.690572,8.176227,8.206481,8.977408,7.839751,7.683474,7.893267,10.26453,8.935821,8.433082,9.674593,8.408459,7.227822,9.587199,7.669285,10.1029,8.700625,7.236154,7.740442,8.564322,7.712329,8.29397,8.966277,10.71783,8.883399,7.35245,6.484887,9.641595,8.934069,7.35574,9.865766,8.299301,9.224324,9.691529,7.73454,1.567219,1.650433,2.3604,1.463755,1.569763,0.1799629,0.6962006,1.411953,1.37112,1.954888,0.8223568,0.4698773,1.719601,0.9971994,1.24705,0.6606804,1.270723,1.6648,1.175675,1.898207,3.063869,2.499823,2.352911,1.308697,1.426919,0.9979176,0.4913583,1.191891,0.979257,0.4971067,1.814586,0.9073148,0.5969412,2.726677,1.097404,2.336106,1.631377,2.592407,1.797337,1.042597,1.312865,1.307645,3.265556,3.677819,0.9682794,3.216291,1.50567,0,1.735959,1.89971, + 10.02933,10.29719,10.66277,9.255511,8.827089,10.61271,8.60263,10.12463,9.336599,9.700691,9.633618,9.672925,8.876584,7.482071,8.713936,11.4747,8.580509,9.485515,12.25416,11.00807,8.987984,10.40584,8.021542,8.82956,10.22156,9.167869,9.492335,9.207165,9.918144,8.510435,9.134461,9.934938,7.685722,10.61077,10.261,9.788623,10.22843,8.639125,8.428544,9.1526,10.2661,9.700896,9.627398,9.421179,9.735137,9.185121,10.39678,8.782708,8.602488,10.49328,8.787228,5.105261,8.174506,6.593941,7.000558,7.165331,7.443855,8.502787,7.282342,7.016043,6.394623,7.48437,7.888382,6.119565,7.458291,6.052118,7.407981,8.663013,7.968165,8.288782,5.492399,7.141805,7.882406,7.720056,7.340728,7.2313,7.507662,7.223309,5.494712,5.921309,7.280073,7.890534,6.852318,6.228859,6.159542,8.146678,7.922264,8.813405,6.765686,7.982392,6.982623,6.984746,7.302137,7.34714,7.667545,5.838641,8.28196,7.00414,6.075158,8.228958,9.085232,9.960881,8.48626,7.639915,7.693831,9.358198,8.370106,8.399549,6.205593,8.374572,7.156556,11.13798,8.174266,8.348685,9.16038,9.237886,8.347902,8.297798,9.213303,8.079196,8.011071,8.540854,10.61213,8.875998,8.74752,10.12939,8.495893,7.903697,10.10037,7.746303,10.21067,8.884541,6.989046,8.176684,9.176503,7.953705,8.799883,9.54501,10.67285,9.629408,7.639244,6.695712,9.660058,9.461446,7.597908,10.2186,8.226177,9.531135,10.00643,8.067004,1.996058,2.753479,1.969033,0.4686397,0.6888631,1.559294,1.995593,0.9081171,0.3652088,1.999428,1.610984,1.279281,0.2951107,1.493456,2.126957,2.139212,1.198663,1.672318,0.9811959,0.2426529,1.475937,2.252523,1.961086,0.5363443,2.384368,0.7846497,1.351721,1.216851,1.649563,1.29931,0.1323465,2.602855,1.166477,1.009802,2.454454,2.214804,0.2370344,1.476777,2.212374,1.319816,1.322186,0.5506379,2.736494,2.172072,1.016836,2.650774,1.91307,1.735959,0,0.3419266, + 10.19507,10.47476,10.83199,9.462721,8.958527,10.77977,8.790005,10.2743,9.529631,9.869165,9.808987,9.871878,9.032487,7.65349,8.844794,11.67831,8.741631,9.613391,12.36551,11.15829,9.130402,10.52741,8.182996,9.04618,10.36244,9.286435,9.622903,9.29629,10.07153,8.700651,9.300218,10.08904,7.83615,10.79385,10.37749,9.988744,10.32518,8.83989,8.585941,9.353659,10.41533,9.82859,9.765115,9.631683,9.868227,9.333418,10.56884,8.895198,8.817899,10.66536,8.775881,4.963002,8.056295,6.477458,6.957064,7.141841,7.428875,8.473071,7.21138,7.032172,6.278398,7.439454,7.865819,6.161236,7.436106,5.990951,7.318917,8.632206,7.88326,8.190072,5.512906,7.126066,7.756515,7.57614,7.309187,7.200714,7.492283,7.192449,5.410386,5.829545,7.203122,7.795154,6.795013,6.198285,6.199149,8.070609,7.830069,8.706994,6.784507,8.004726,7.007344,7.111249,7.255029,7.300508,7.623539,5.678832,8.195963,6.951941,5.987881,8.232906,8.794441,9.689292,8.191569,7.400292,7.474552,9.093351,8.093618,8.135263,5.941536,8.104495,6.89443,10.86311,7.872993,8.09097,8.906427,9.009683,8.071662,8.012509,8.942473,7.812019,7.755519,8.330806,10.35234,8.573848,8.487859,9.885236,8.209654,7.70089,9.864732,7.461032,9.923022,8.608293,6.674627,7.935562,8.958594,7.687189,8.566798,9.320755,10.36919,9.43239,7.379683,6.430464,9.364075,9.229585,7.332765,9.9603,7.924144,9.268414,9.743656,7.811903,2.324925,3.049814,2.303887,0.8004816,0.5320745,1.719773,2.245676,0.7918867,0.5845699,2.340782,1.621226,1.430279,0.1803605,1.465975,2.428204,2.370906,1.525745,1.504298,0.9420895,0.5015995,1.578824,2.58978,2.296034,0.5962549,2.686387,1.033146,1.463169,1.537572,1.945999,1.512275,0.2134713,2.720038,1.374102,1.009805,2.481608,2.55556,0.2769731,1.749,2.069919,1.286487,1.651242,0.8569664,3.050389,1.872131,1.30343,2.962678,2.241078,1.89971,0.3419266,0 + }; + + pam(dissimilarities, nbSeries, nbClusters, 0, NSTART, MAXITER, result); + + // Label items + uint32_t* labels = (uint32_t*)malloc(nbSeries*sizeof(uint32_t)); + uint32_t* ctrs = result->medoids_ranks; + + // DEBUG: + //printf("CTRS: %f,%f %f,%f %f,%f %f,%f\n",N[2*ctrs[0]],N[2*ctrs[0]+1],N[2*ctrs[1]],N[2*ctrs[1]+1],N[2*ctrs[2]],N[2*ctrs[2]+1],N[2*ctrs[3]],N[2*ctrs[3]+1]); + + for (uint32_t i=0; i maxLabelsCount) + maxLabelsCount = labelsCount[jj]; + } + LUT_ASSERT(50 - maxLabelsCount <= maxDeltaSeries); + } + + free(result->medoids_ranks); + free(labels); + free(result); +} diff --git a/code/test/stage1/CMakeLists.txt b/code/test/stage1/CMakeLists.txt new file mode 100644 index 0000000..7b89bed --- /dev/null +++ b/code/test/stage1/CMakeLists.txt @@ -0,0 +1,19 @@ +cmake_minimum_required(VERSION 2.8.5) +project(ppam_mpi_tests) + +set(CMAKE_C_FLAGS "-std=gnu99") +set(CMAKE_C_FLAGS_DEBUG "-g3") +set(CMAKE_C_FLAGS_RELEASE "-O3") + +#already by default... ?! +include_directories("${CMAKE_SOURCE_DIR}") + +#ppam tests + +include_directories("${CMAKE_SOURCE_DIR}/../src") + +file(GLOB_RECURSE test_ppam_src "${CMAKE_SOURCE_DIR}/*.c") +add_executable(test_ppam.exe ${test_ppam_src}) +find_library(PPAM_LIBRARY ppam "${CMAKE_BINARY_DIR}") +#TODO: Rblas ?! +target_link_libraries(test_ppam.exe m cds ${PPAM_LIBRARY}) diff --git a/code/test/stage1/MPI_Communication/t.pack.c b/code/test/stage1/MPI_Communication/t.pack.c new file mode 100644 index 0000000..125fd47 --- /dev/null +++ b/code/test/stage1/MPI_Communication/t.pack.c @@ -0,0 +1,106 @@ +#include "lut.h" +#include +#include "MPI_Communication/pack.h" +#include "Util/types.h" +#include +#include "Util/utils.h" + +// Work_t +void t_pack1() +{ + Work_t* work = (Work_t*)malloc(sizeof(Work_t)); + work->inputFileName = "../data/inputTest.bin"; + work->nbSeries = 5; + uint32_t ranks[] = + { + 0, + 12*65536 + 3*256+11, + 32*16777216 + 2*65536 + 17*256 + 42, + 123, + 51*16777216 + 77*65536 + 0*256 + 10 + }; + work->ranks = ranks; + work->nbClusters = 15; + work->clustOnMedoids = 0; + work->p_for_dissims = 1; + + // Hard-coded expected packed work + unsigned char expectedPackedWork[] = + { + // --> ../data/inputTest.bin + 46,46,47,100,97,116,97,47,105,110,112,117,116,84,101,115,116,46,98,105,110, + // continue with 256 - strlen("../data/inputTest.bin") zeros... + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + // --> 5, {ranks}+0,0, 15, 0 on 4-bytes integers little-endian + 5,0,0,0, 0,0,0,0, 11,3,12,0, 42,17,2,32, 123,0,0,0, 10,0,77,51, 0,0,0,0, 0,0,0,0, + 15,0,0,0, 0,0,0,0, 1,0,0,0 + }; + + uint32_t nbSeriesInChunk = 7; + uint32_t work_message_length = get_packedWork_length(nbSeriesInChunk); + unsigned char packedWork[work_message_length]; + pack_work(work, nbSeriesInChunk, packedWork); + + for (uint32_t i=0; inbClusters = 5; + uint32_t medoids_ID[] = + { + 15*65536 + 13*256+11, + 11, + 17*16777216 + 0*65536 + 14*256 + 42, + 123*65536 + 0*256 + 7, + 51*16777216 + 0*65536 + 0*256 + 10 + }; + result->medoids_ID = medoids_ID; + uint32_t medoids_ranks[] = + { + 5*65536 + 32, + 11*256 + 4, + 23*16777216 + 42, + 35*65536 + 5*256 + 77, + 1*16777216 + 1*65536 + 1*256 + 10 + }; + result->medoids_ranks = medoids_ranks; + + // Hard-coded expected result + unsigned char expectedPackedResult[] = + { + // 5, {medoids_ID}, {medoids_ranks} + 5,0,0,0, + 11,13,15,0, 11,0,0,0, 42,14,0,17, 7,0,123,0, 10,0,0,51, + 32,0,5,0, 4,11,0,0, 42,0,0,23, 77,5,35,0, 10,1,1,1 + }; + + uint32_t result_message_length = get_packedResult_length(nbClusters); + unsigned char packedResult[result_message_length]; + pack_result(result, packedResult); + + for (uint32_t i=0; i +#include "MPI_Communication/unpack.h" +#include "Util/types.h" +#include +#include +#include "Util/utils.h" + +// Work_t +void t_unpack1() +{ + // Hard-coded packed work + unsigned char packedWork[] = + { + // --> ../data/inputTest.bin + 46,46,47,100,97,116,97,47,105,110,112,117,116,84,101,115,116,46,98,105,110, + // continue with 256 - strlen("../data/inputTest.bin") zeros... + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, + // --> 5, {ranks}+0,0, 15, 0 on 4-bytes integers little-endian + 5,0,0,0, 0,0,0,0, 11,3,12,0, 42,17,2,32, 123,0,0,0, 10,0,77,51, 0,0,0,0, 0,0,0,0, + 15,0,0,0, 0,0,0,0, 2,0,0,0 + }; + + uint32_t nbSeriesInChunk = 7; + Work_t* work = unpack_work(packedWork, nbSeriesInChunk); + + LUT_ASSERT(strcmp(work->inputFileName, "../data/inputTest.bin") == 0); + LUT_ASSERT(work->nbSeries == 5); + uint32_t ranks[] = + { + 0, + 12*65536 + 3*256+11, + 32*16777216 + 2*65536 + 17*256 + 42, + 123, + 51*16777216 + 77*65536 + 0*256 + 10 + }; + for (uint32_t i=0; i < work->nbSeries; i++) + { + LUT_ASSERT(work->ranks[i] == ranks[i]); + } + LUT_ASSERT(work->nbClusters == 15); + LUT_ASSERT(work->clustOnMedoids == 0); + LUT_ASSERT(work->p_for_dissims == 2); + + free_work(work); +} + +// Result_t +void t_unpack2() { + + // Hard-coded packed result + unsigned char packedResult[] = + { + // 5, {medoids_ID}, {medoids_ranks} + 5,0,0,0, + 11,13,15,0, 11,0,0,0, 42,14,0,17, 7,0,123,0, 10,0,0,51, + 32,0,5,0, 4,11,0,0, 42,0,0,23, 77,5,35,0, 10,1,1,1 + }; + + Result_t* result = unpack_result(packedResult); + + LUT_ASSERT(result->nbClusters == 5); + uint32_t medoids_ID[] = + { + 15*65536 + 13*256+11, + 11, + 17*16777216 + 0*65536 + 14*256 + 42, + 123*65536 + 0*256 + 7, + 51*16777216 + 0*65536 + 0*256 + 10 + }; + uint32_t medoids_ranks[] = + { + 5*65536 + 32, + 11*256 + 4, + 23*16777216 + 42, + 35*65536 + 5*256 + 77, + 1*16777216 + 1*65536 + 1*256 + 10 + }; + for (uint32_t i=0; inbClusters; i++) + { + LUT_ASSERT(result->medoids_ID[i] == medoids_ID[i]); + LUT_ASSERT(result->medoids_ranks[i] == medoids_ranks[i]); + } + + free_result(result); +} diff --git a/code/test/stage1/TimeSeries/t.deserialize.c b/code/test/stage1/TimeSeries/t.deserialize.c new file mode 100644 index 0000000..22e0956 --- /dev/null +++ b/code/test/stage1/TimeSeries/t.deserialize.c @@ -0,0 +1,94 @@ +#include "TimeSeries/deserialize.h" +#include "lut.h" +#include +#include +#include +#include "Util/utils.h" + +void t_deserialize1() +{ + // decode sample_byCols.bin into the toy dataset (4 customers, 3 sample points) + const char* ifName = "../data/test/sample_byCols.bin"; + + // check 'header' + uint32_t nbSeries = get_nbSeries(ifName); + LUT_ASSERT(nbSeries == 4); + uint32_t tsLength = get_tsLength(ifName); + LUT_ASSERT(tsLength == 13); //3*3+4 + + uint32_t ranks[] = + { + 0, 2, 1, 3 + }; + PowerCurve* powerCurves = deserialize(ifName, NULL, ranks, nbSeries); + + Real epsilon = 0.1; //epsilon = 0.1 because raw powers are truncated + + LUT_ASSERT(powerCurves[0].ID == 12301); + LUT_ASSERT(fabs(powerCurves[0].values[0] - 23.051) < epsilon); + LUT_ASSERT(fabs(powerCurves[0].values[1] - 33.052) < epsilon); + LUT_ASSERT(fabs(powerCurves[0].values[2] - 43.053) < epsilon); + + LUT_ASSERT(powerCurves[1].ID == 1313); + LUT_ASSERT(fabs(powerCurves[1].values[0] - 50.05) < epsilon); + LUT_ASSERT(fabs(powerCurves[1].values[1] - 51.05) < epsilon); + LUT_ASSERT(fabs(powerCurves[1].values[2] - 52.05) < epsilon); + + LUT_ASSERT(powerCurves[2].ID == 50000); + LUT_ASSERT(fabs(powerCurves[2].values[0] - 150.321) < epsilon); + LUT_ASSERT(fabs(powerCurves[2].values[1] - 160.322) < epsilon); + LUT_ASSERT(fabs(powerCurves[2].values[2] - 140.323) < epsilon); + + LUT_ASSERT(powerCurves[3].ID == 6300); + LUT_ASSERT(fabs(powerCurves[3].values[0] - 500.30) < epsilon); + LUT_ASSERT(fabs(powerCurves[3].values[1] - 501.31) < epsilon); + LUT_ASSERT(fabs(powerCurves[3].values[2] - 502.32) < epsilon); + + for (int i = 0; i < nbSeries; i++) + free(powerCurves[i].values); + free(powerCurves); +} + +void t_deserialize2() +{ + // decode sample_byRows.bin into the toy dataset (4 customers, 3 sample points) + const char* ifName = "../data/test/sample_byRows.bin"; + + // check 'header' + uint32_t nbSeries = get_nbSeries(ifName); + LUT_ASSERT(nbSeries == 4); + uint32_t tsLength = get_tsLength(ifName); + LUT_ASSERT(tsLength == 13); //3*3+4 + + uint32_t ranks[] = + { + 0, 2, 1, 3 + }; + PowerCurve* powerCurves = deserialize(ifName, NULL, ranks, nbSeries); + + Real epsilon = 0.1; //epsilon = 0.1 because raw powers are truncated + + LUT_ASSERT(powerCurves[0].ID == 12301); + LUT_ASSERT(fabs(powerCurves[0].values[0]/100.0-3 - 23.051) < epsilon); + LUT_ASSERT(fabs(powerCurves[0].values[1]/100.0-3 - 33.052) < epsilon); + LUT_ASSERT(fabs(powerCurves[0].values[2]/100.0-3 - 43.053) < epsilon); + + LUT_ASSERT(powerCurves[1].ID == 1313); + LUT_ASSERT(fabs(powerCurves[1].values[0]/100.0-3 - 50.05) < epsilon); + LUT_ASSERT(fabs(powerCurves[1].values[1]/100.0-3 - 51.05) < epsilon); + LUT_ASSERT(fabs(powerCurves[1].values[2]/100.0-3 - 52.05) < epsilon); + + LUT_ASSERT(powerCurves[2].ID == 50000); + LUT_ASSERT(fabs(powerCurves[2].values[0]/100.0-3 - 150.321) < epsilon); + LUT_ASSERT(fabs(powerCurves[2].values[1]/100.0-3 - 160.322) < epsilon); + LUT_ASSERT(fabs(powerCurves[2].values[2]/100.0-3 - 140.323) < epsilon); + + LUT_ASSERT(powerCurves[3].ID == 6300); + LUT_ASSERT(fabs(powerCurves[3].values[0]/100.0-3 - 500.30) < epsilon); + LUT_ASSERT(fabs(powerCurves[3].values[1]/100.0-3 - 501.31) < epsilon); + LUT_ASSERT(fabs(powerCurves[3].values[2]/100.0-3 - 502.32) < epsilon); + + for (int i = 0; i < nbSeries; i++) + free(powerCurves[i].values); + free(powerCurves); +} diff --git a/code/test/stage1/TimeSeries/t.serialize.c b/code/test/stage1/TimeSeries/t.serialize.c new file mode 100644 index 0000000..1dda321 --- /dev/null +++ b/code/test/stage1/TimeSeries/t.serialize.c @@ -0,0 +1,47 @@ +#include "TimeSeries/serialize.h" +#include "lut.h" +#include +#include + +static void checkFilesEqual(const char* fileName1, const char* fileName2) +{ + FILE* output = fopen(fileName1, "rb"); + FILE* refOutput = fopen(fileName2, "rb"); + while (!feof(output) && !feof(refOutput)) + LUT_ASSERT(fgetc(output) == fgetc(refOutput)); + LUT_ASSERT(feof(output) && feof(refOutput)); + fclose(output); + fclose(refOutput); +} + +void t_serialize1() +{ + const char* csvIfName = "../data/test/sample_byCols.csv"; + const char* binaryIfName = "../data/test/sample_byCols.bin"; + const char* tmpBinaryIfName = "../data/test/sample_byCols.tmp.bin"; + + // serialize text file into a temporary binary file + serialize_byCols(csvIfName, tmpBinaryIfName, 0); + + // compare binary result with reference + checkFilesEqual(tmpBinaryIfName, binaryIfName); + + // remove temp file + unlink(tmpBinaryIfName); +} + +void t_serialize2() +{ + const char* csvIfName = "../data/test/sample_byRows.csv"; + const char* binaryIfName = "../data/test/sample_byRows.bin"; + const char* tmpBinaryIfName = "../data/test/sample_byRows.tmp.bin"; + + // serialize text file into a temporary binary file + serialize_byRows(csvIfName, tmpBinaryIfName, 0); + + // compare binary result with reference + checkFilesEqual(tmpBinaryIfName, binaryIfName); + + // remove temp file + unlink(tmpBinaryIfName); +} diff --git a/code/test/stage1/Util/t.rng.c b/code/test/stage1/Util/t.rng.c new file mode 100644 index 0000000..ee98b98 --- /dev/null +++ b/code/test/stage1/Util/t.rng.c @@ -0,0 +1,49 @@ +#include "lut.h" +#include "Util/rng.h" +#include +#include +#include + +// Auxiliary to perform K-S test for a given flag, sample size and bins count +void aux_ks_test(int flag, uint32_t N, uint32_t nBins) +{ + init_rng(flag); + + // Fill the bins + uint32_t bins[nBins]; + for (uint32_t i=0; i= nBins) index = nBins - 1; //in case of... + bins[index]++; + } + + // Test the bins + double ksThreshold = 1.358 / sqrt((double)N); + double countPerBin = (double)N / nBins; + uint32_t cumulativeSum = 0; + for (uint32_t i=0; i +#include +#include "Util/types.h" +#include + +//integers +void t_utils1() +{ + FILE* file = fopen("../data/test/integers.txt", "rb"); + int64_t x; + readInt(file, &x); + LUT_ASSERT(x == 1234); + readInt(file, &x); + LUT_ASSERT(x == -987); + readInt(file, &x); + LUT_ASSERT(x == 654321); + readInt(file, &x); + LUT_ASSERT(x == 12); + readInt(file, &x); + LUT_ASSERT(x == 345678); + readInt(file, &x); + LUT_ASSERT(x == -1234); + fclose(file); +} + +//reals +void t_utils2() +{ + FILE* file = fopen("../data/test/reals.txt", "rb"); + Real x, tol = 1e-10; + readReal(file, &x); + LUT_ASSERT(fabs(x - 1234.056) < tol); + readReal(file, &x); + LUT_ASSERT(fabs(x - 987e-3) < tol); + readReal(file, &x); + LUT_ASSERT(fabs(x - -654321e-2) < tol); + readReal(file, &x); + LUT_ASSERT(fabs(x - 12.34567) < tol); + readReal(file, &x); + LUT_ASSERT(fabs(x - 345678.0) < tol); + readReal(file, &x); + LUT_ASSERT(fabs(x - -1234.05) < tol); + readReal(file, &x); + LUT_ASSERT(fabs(x - 3e-1) < tol); + readReal(file, &x); + LUT_ASSERT(fabs(x - -1.0188) < tol); + fclose(file); +} diff --git a/code/test/stage1/main.c b/code/test/stage1/main.c new file mode 100644 index 0000000..3d80af6 --- /dev/null +++ b/code/test/stage1/main.c @@ -0,0 +1,39 @@ +void t_serialize1(); +void t_serialize2(); +void t_deserialize1(); +void t_deserialize2(); +void t_compute_coefficients1(); +void t_compute_coefficients2(); +void t_pam1(); +void t_pam2(); +void t_pack1(); +void t_pack2(); +void t_unpack1(); +void t_unpack2(); +void t_rng1(); +void t_rng2(); +void t_utils1(); +void t_utils2(); + +// list all unit tests here +int main() +{ + t_serialize1(); + t_serialize2(); + t_deserialize1(); + t_deserialize2(); + //~ t_compute_coefficients1(); + //~ t_compute_coefficients2(); + t_pam1(); //may fail + t_pam2(); + t_pack1(); + t_pack2(); + t_unpack1(); + t_unpack2(); + t_rng1(); //may fail + t_rng2(); + t_utils1(); + t_utils2(); + + return 0; +} diff --git a/code/test/stage2/.gitkeep b/code/test/stage2/.gitkeep new file mode 100644 index 0000000..e69de29 diff --git a/communication/short_paper/.gitkeep b/communication/short_paper/.gitkeep new file mode 100644 index 0000000..e69de29 diff --git a/communication/slides/.gitkeep b/communication/slides/.gitkeep new file mode 100644 index 0000000..e69de29