EvtDtoKpipiPlot.cc

Go to the documentation of this file.

//--------------------------------------------------------------------------
//
// Environment:
//      This software is part of models developed at BES collaboration
//      based on the EvtGen framework.  If you use all or part
//      of it, please give an appropriate acknowledgement.
//
// Copyright Information: See EvtGen/BesCopyright
//      Copyright (A) 2006      Ping Rong-Gang @IHEP
//
// Module: EvtDtoKpipiPlot.cc
//
// Modification history:
//
//    Liaoyuan Dong    August, 2022       Module created
//
//------------------------------------------------------------------------
#include "EvtGenBase/EvtPatches.hh"
#include "EvtGenBase/EvtParticle.hh"
#include "EvtGenBase/EvtGenKine.hh"
#include "EvtGenBase/EvtPDL.hh"
#include "EvtGenBase/EvtReport.hh"
#include "EvtGenModels/EvtDtoKpipiPlot.hh"
#include "EvtGenBase/EvtRandom.hh"
#include <stdlib.h>
#include <string>
 
#include "TFile.h"  
#include "TApplication.h"
#include "TROOT.h"
#include "TH1.h"
#include "TAxis.h"
#include "TH2.h"
using std::endl;
 
EvtDtoKpipiPlot::~EvtDtoKpipiPlot() {}
 
void EvtDtoKpipiPlot::getName(std::string& model_name){
        model_name="DtoKpipiPlot";     
}
 
EvtDecayBase* EvtDtoKpipiPlot::clone(){
        return new EvtDtoKpipiPlot;
}
 
void EvtDtoKpipiPlot::init(){
 
    checkNArg(0);
 
    bool idN  = getDaugs()[0]==EvtPDL::getId(std::string("K-"))||getDaugs()[0]==EvtPDL::getId(std::string("K+"));
    bool idKs = getDaugs()[1]==EvtPDL::getId(std::string("pi+"))||getDaugs()[1]==EvtPDL::getId(std::string("pi-")) ;
    bool idPi = getDaugs()[2]==EvtPDL::getId(std::string("pi+"))||getDaugs()[2]==EvtPDL::getId(std::string("pi-")) ;
    if(!(idN && idKs && idPi ) ){std::cout<<"EvtDtoKpipiPlot: the daughter sequence should be K- pi+ pi+"<<std::endl;abort();}
    EvtSpinType::spintype parenttype = EvtPDL::getSpinType(getParentId());
 
Xmin = 0.90;
Xmax = 3.00;
Xwid = 0.0168;
Ymin = 0.35;
Ymax = 1.90;
Ywid = 0.0124;
avm1  = 3.09829;
double HisPDFtmp[127][127] =
{
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.482625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.360879, 0.230496, 0.37069, 0.309896, 0.83044, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.543478, 0.642813, 0.413386, 0.50053, 0.681408, 0.959302, 0.818881, 0.201149, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.534392, 1.38577, 0.490157, 0.54037, 0.871535, 1.33796, 0.436433, 0.359543, 0.39801, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.940985, 0.672482, 0.559746, 0.703125, 0.848309, 0.802104, 0.577309, 0.838123, 0.642123, 0.777926, 0.669275, 0.683453, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.851648, 0.460963, 1.26562, 0.54423, 0.594257, 0.912895, 0.880542, 0.509635, 0.826162, 0.968407, 0.893208, 0.43448, 0.376574, 0.702895, 0.708653, 0.525, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.858209, 0.206044, 1.48221, 1.12055, 1.26875, 0.744048, 0.579338, 0.759898, 1.51437, 1.22298, 0.958165, 0.464015, 0.54302, 0.853933, 0.644993, 0.820853, 0.449341, 0.688797, 0.377907, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.680272, 0.485364, 0.777559, 0.469858, 1.9939, 0.918497, 0.356689, 0.826465, 0.71122, 0.705645, 0.562603, 1.25801, 1.02564, 0.541667, 0.858772, 1.21945, 0.336888, 0.826896, 0.605635, 0.557834, 0.716146, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.424152, 0.691308, 1.243, 1.12602, 0.622539, 1.10577, 0.537648, 1.37351, 0.624557, 0.533046, 0.506103, 0.93361, 0.978464, 0.585271, 1.14515, 0.725309, 0.422593, 0.66217, 0.453674, 0.684534, 0.753143, 0.465759, 0.357572, 1.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.342882, 0.943264, 0.722789, 1.33861, 0.823944, 0.595238, 1.12658, 0.728745, 0.648524, 0.674716, 0.518424, 1.71265, 0.761565, 0.59527, 0.664287, 0.631903, 0.83619, 0.551915, 0.551629, 0.621659, 0.936101, 0.227273, 1.07812, 0.514058, 0.26592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.3, 0.794454, 0.550802, 1.02371, 0.71917, 0.750172, 2.31704, 2.48702, 0.31865, 0.6418, 1.16911, 0.553871, 0.583152, 0.477169, 0.438988, 0.679644, 1.20152, 0.715883, 0.8228, 0.910914, 0.916368, 0.821755, 0.422507, 0.629664, 0.398693, 0.644, 0.683498, 0.827329, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.528409, 2.10032, 0.747527, 0.845997, 1.33226, 0.940586, 2.36111, 0.697157, 0.693656, 0.895397, 0.949184, 0.416684, 0.864826, 0.572493, 0.807692, 0.640366, 1.06817, 0.620659, 0.496639, 0.607639, 0.513572, 0.518293, 0.765447, 0.597757, 0.411284, 0.229962, 0.641026, 0.401011, 0.614807, 0.372671, 1.12364, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.39185, 1.64286, 0.865224, 1.26953, 1.34419, 1.28205, 1.40253, 1.09592, 1.1631, 0.617675, 0.630609, 0.56896, 0.828059, 0.807692, 0.649523, 1.22228, 0.99283, 0.622128, 0.787546, 0.619416, 0.392034, 0.377616, 0.540869, 0.636926, 0.469622, 0.443695, 0.538942, 0.817215, 0.340249, 0.243873, 0.531475, 0.5475, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.350242, 0.327421, 0.749892, 0.893515, 1.63205, 1.43889, 0.889774, 1.40116, 0.972135, 0.94254, 1.33929, 0.51, 0.893962, 1.66667, 0.385892, 0.577944, 0.355353, 0.678077, 0.876116, 0.499582, 0.701765, 0.904152, 0.405657, 0.633829, 0.737092, 0.336929, 0.443491, 0.612132, 0.311971, 0.356791, 0.263357, 0.530874, 0.466899, 0.38796, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.257353, 0.185051, 0.832324, 1.42045, 1.68962, 1.18868, 0.968254, 1.46748, 0.784551, 0.77626, 0.796655, 1.30049, 1.01644, 2.00042, 0.647202, 1.0413, 0.65625, 0.869792, 0.495073, 0.671771, 0.725104, 0.467788, 1.08591, 1.12112, 0.362681, 0.343964, 0.478746, 0.486493, 0.578553, 0.4, 0.412977, 0.28863, 0.282051, 0.223012, 0.39764, 0.204869, 0.317842, 0.311111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.354067, 0.461398, 0.597015, 0.985243, 1.24506, 0.973311, 0.734355, 1.71084, 3.09829, 0.930797, 1.6307, 0.717876, 1.03985, 1.2963, 1.01781, 0.749557, 0.769231, 0.714432, 0.802885, 0.557608, 0.270979, 0.61553, 0.486779, 0.812346, 0.349174, 0.733854, 0.440088, 0.358628, 0.440873, 0.441664, 0.207598, 0.237778, 0.579395, 0.571167, 0.226804, 0.143317, 0.399844, 0.375372, 0.533333, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.605186, 0.549793, 0.775733, 0.25614, 0.935577, 0.637174, 1.41587, 1.71506, 0.95218, 0.94784, 1.07563, 0.958076, 1.5016, 0.515088, 1.70905, 0.957103, 0.844595, 0.505943, 0.582171, 0.572807, 0.44933, 0.640931, 0.48, 0.786218, 0.414006, 0.364872, 0.356997, 0.525452, 0.391971, 0.451521, 0.405602, 0.223485, 0.513927, 0.30521, 0.207174, 0.234741, 0.490403, 0.35786, 0.239542, 0.355837, 0.232643, 0.28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.282486, 0.308763, 0.30463, 0.251862, 0.587021, 0.608908, 1.43361, 0.70155, 1.22407, 2.36697, 1.44947, 1.24885, 1.15741, 0.564209, 1.584, 0.885321, 0.838708, 0.969545, 0.802494, 0.623438, 1.04713, 1.12466, 0.621111, 0.713436, 0.749576, 0.265695, 0.509328, 0.215469, 0.776974, 0.315452, 0.233689, 0.246377, 0.231174, 0.28549, 0.210419, 0.307011, 0.446154, 0.370066, 0.334277, 0.366541, 0.488825, 0.34524, 0.36531, 0.521317, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.184295, 0.845091, 0.194534, 0.501503, 0.442031, 0.385802, 0.730289, 1.07927, 2.15417, 1.22145, 1.17155, 1.20581, 0.856568, 1.14888, 1.21932, 0.81095, 0.828365, 0.563309, 0.816231, 0.798479, 0.720833, 0.460362, 0.578153, 0.547558, 0.564516, 0.455072, 0.348232, 0.429869, 0.347989, 0.274851, 0.505223, 0.144052, 0.216602, 0.455235, 0.63803, 0.245743, 0.471292, 0.600282, 0.446215, 0.275367, 0.315681, 0.366102, 0.282204, 0.254386, 0.189257, 0.346939, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.48913, 0.161082, 0.284281, 0.445941, 0.361742, 0.462862, 0.727419, 0.722264, 0.93149, 1.62123, 1.78791, 1.9363, 1.30879, 1.12952, 0.565703, 0.573836, 1.44955, 0.452081, 0.711933, 0.315884, 0.424483, 0.511661, 0.694975, 0.575221, 0.425773, 0.40069, 0.390176, 0.448182, 0.412088, 0.287914, 0.457543, 0.33871, 0.466615, 0.326508, 0.306197, 0.317409, 1.05765, 0.37946, 0.247268, 0.251074, 0.264557, 0.293878, 0.388426, 0.244338, 0.5, 0.281682, 0.216889, 0.374317, 0.259259, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3.04054, 0.0789566, 0.398519, 0.155556, 0.435915, 0.272059, 0.354704, 1.02273, 0.763652, 1.54394, 1.28752, 1.1631, 1.51385, 1.93663, 1.42206, 0.883616, 0.608752, 0.7386, 0.690173, 0.506008, 0.650909, 0.698925, 0.604839, 0.564854, 0.868321, 0.535211, 0.326458, 0.432562, 0.430705, 0.35487, 0.57885, 0.217628, 0.419705, 0.32865, 0.301788, 0.378099, 0.318841, 0.487282, 0.262424, 0.471429, 0.437954, 0.352727, 0.172999, 0.253748, 0.425844, 0.220074, 0.243466, 0.551068, 0.355068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.36268, 0.274476, 0.321741, 0.225745, 0.187257, 0.280919, 0.648193, 0.454545, 0.875576, 1.19768, 2.09188, 1.02989, 1.25905, 0.914512, 1.42133, 1.06108, 0.931795, 0.713652, 0.824353, 0.469774, 0.664062, 0.730809, 1.0881, 0.729867, 0.369403, 0.405043, 0.481203, 0.22644, 0.59789, 0.215247, 0.610598, 0.306306, 0.911861, 0.505245, 0.439019, 0.259534, 0.347826, 0.355974, 0.291563, 0.189895, 0.387931, 0.21147, 0.314742, 0.511352, 0.228508, 0.275591, 0.135484, 0.273815, 0.0777371, 0.405333, 0.174229, 0.354839, 0.6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.211268, 0.241838, 0.161594, 0.241795, 0.467106, 0.369527, 0.601852, 0.803103, 0.845455, 0.995443, 1.4128, 1.92609, 1.07355, 1.23209, 0.745753, 0.809717, 0.734977, 0.481524, 0.8972, 1.16387, 0.707592, 0.479545, 0.840085, 0.367511, 0.317889, 0.261905, 0.471652, 0.648229, 0.300493, 0.386905, 0.0756057, 0.311899, 0.242678, 0.337156, 0.473113, 0.246772, 0.480258, 0.262921, 0.253314, 0.337395, 0.288462, 0.27308, 0.237727, 0.395294, 0.378469, 0.306927, 0.190476, 0.451389, 0.205714, 0.195215, 0.314085, 0.407663, 0.32761, 1.02273, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.119048, 0.170392, 0.470062, 0.492794, 0.272396, 0.638451, 0.383295, 0.409446, 0.798888, 0.550955, 0.771986, 1.35268, 0.810196, 0.888933, 0.958104, 0.894326, 1.63717, 1.3825, 0.820202, 0.659722, 0.956573, 0.710911, 0.543756, 0.385502, 0.414051, 0.64422, 0.541871, 0.531221, 0.157727, 0.458207, 0.582101, 0.573577, 0.271448, 0.47326, 0.374378, 0.34594, 0.245262, 0.197314, 0.3, 0.260588, 0.498695, 0.163834, 0.209524, 0.279545, 0.30407, 0.374525, 0.330633, 0.15303, 0.321306, 0.358267, 0.128883, 0.153595, 0.439659, 0.0692564, 0.148602, 0.346667, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.520833, 0.279898, 0.167644, 0.271815, 0.185752, 0.248169, 0.219925, 0.37218, 0.468795, 0.783019, 0.569923, 0.628501, 1.13556, 1.78163, 0.92399, 1.37189, 0.855496, 0.783745, 0.856855, 0.609319, 0.722446, 0.543723, 0.751852, 0.282187, 0.619158, 0.281907, 0.573112, 0.397022, 0.248011, 0.23066, 0.50162, 0.395215, 0.629722, 0.414545, 0.541992, 0.29059, 0.226331, 0.257851, 0.17054, 0.327407, 0.215144, 0.436956, 0.883258, 0.336653, 0.469702, 0.311751, 0.373653, 0.315726, 0.401709, 0.3673, 0.133871, 0.210462, 0.56697, 0.149009, 0.399902, 0.314592, 0.610902, 0.352941, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.245726, 0.379935, 0.347687, 0.246809, 0.341457, 0.379467, 0.120106, 0.378, 0.296896, 0.525754, 0.806804, 0.792938, 1.23134, 1.58233, 1.48238, 1.04469, 1.17916, 0.522436, 1.38033, 0.228438, 0.452086, 0.711624, 0.28862, 0.341603, 0.432954, 0.370052, 0.693083, 0.426181, 0.288527, 0.270059, 0.439676, 0.468137, 0.316479, 0.235075, 0.247261, 0.281069, 0.321429, 0.33012, 0.167792, 0.586892, 0.273529, 0.204298, 0.239583, 0.380658, 0.24625, 0.24635, 0.262803, 0.333141, 0.576779, 0.321168, 0.406615, 0.523901, 0.332516, 0.380221, 0.339995, 0.303937, 0.3324, 0.473277, 0.156401, 0.675, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.172902, 0.157993, 0.160087, 0.338117, 0.175522, 0.368337, 0.178677, 0.468067, 0.476567, 0.556697, 0.413996, 1.27644, 1.06015, 1.39598, 0.982955, 1.24563, 1.89706, 0.814315, 0.752106, 0.638789, 0.653199, 0.348837, 0.631411, 0.523205, 0.841603, 0.47285, 0.371281, 0.387931, 0.327334, 0.565359, 0.284412, 0.312234, 0.466452, 0.57875, 0.350797, 0.274286, 0.244275, 0.241917, 0.391433, 0.212217, 0.411606, 0.188596, 0.234982, 0.300796, 0.320988, 0.240964, 0.304233, 0.228926, 0.319806, 0.263376, 0.237595, 0.266414, 0.387363, 0.355905, 0.150157, 0.373678, 0.187054, 0.204672, 0.416604, 0.531638, 0.251046, 0.156593, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8125, 0.403818, 0.0765472, 0.203812, 0.471188, 0.338641, 0.180092, 0.307597, 0.352612, 0.233461, 0.465349, 0.621404, 0.682139, 0.944022, 0.86314, 0.873092, 1.00155, 0.632561, 1.46739, 1.07726, 0.924695, 0.611205, 0.623661, 0.691057, 0.655039, 0.535469, 0.309614, 0.648221, 0.32395, 0.333856, 0.428571, 0.288775, 0.50842, 0.262948, 0.368345, 0.467856, 0.398971, 0.329824, 0.458943, 0.310795, 0.68863, 0.126344, 0.337931, 0.571573, 0.239651, 0.329045, 0.261273, 0.298768, 0.335639, 0.222661, 0.407407, 0.335469, 0.261293, 0.380631, 0.474184, 0.331475, 0.330266, 0.391988, 0.347393, 0.343934, 0.470085, 0.380785, 0.122623, 0.255407, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.312882, 0.526265, 0.257634, 0.213986, 0.19097, 0.326458, 0.265343, 0.328374, 0.406876, 0.448315, 0.33682, 0.578209, 0.636372, 0.982408, 0.917931, 1.17381, 0.875947, 0.865774, 0.797203, 0.520264, 0.5724, 0.697891, 0.501567, 0.813714, 0.396892, 0.386121, 0.697479, 0.300572, 0.427119, 0.340063, 0.93712, 0.488825, 0.459384, 0.264354, 0.566376, 0.469785, 0.488093, 0.227233, 0.309375, 0.247465, 0.349174, 0.464621, 0.233469, 0.344498, 0.355994, 0.308394, 0.4428, 0.515479, 0.213631, 0.254964, 0.230153, 0.232063, 0.113665, 0.230576, 0.208046, 0.231535, 0.481928, 0.367209, 0.175084, 0.201667, 0.258824, 0.23462, 0.294593, 0.195607, 0.23152, 0.224806, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.76282, 0.580065, 0.317688, 0.324324, 0.10901, 0.174444, 0.322834, 0.266873, 0.21945, 0.152655, 0.326664, 0.428261, 0.232143, 0.59078, 0.665116, 0.730257, 1.09606, 1.32458, 0.686553, 0.789324, 0.390307, 0.673469, 0.499336, 0.485821, 0.430238, 0.392218, 0.276766, 0.335744, 0.32888, 0.384378, 0.383459, 0.365462, 0.275482, 0.241935, 0.413262, 0.713556, 0.536041, 0.230612, 0.22476, 0.34526, 0.241513, 0.511936, 0.316981, 0.163018, 0.192453, 0.293421, 0.336029, 0.310217, 0.257028, 0.318644, 0.152473, 0.218957, 0.101019, 0.198787, 0.450891, 0.273383, 0.393788, 0.362578, 0.182531, 0.274456, 0.218478, 0.273352, 0.208839, 0.211426, 0.521977, 0.285202, 0.370293, 0.522936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.39689, 0.254121, 0.40202, 0.236619, 0.125405, 0.268777, 0.295445, 0.251209, 0.158491, 0.234923, 0.210384, 0.359694, 0.479087, 0.250324, 0.727169, 1.04605, 0.616379, 0.640927, 0.768042, 0.649749, 0.19641, 0.550775, 0.428247, 0.226972, 0.532164, 0.385302, 0.650952, 0.404762, 0.511905, 0.284665, 0.473279, 0.402771, 0.405745, 0.538462, 0.345118, 0.529296, 0.433735, 0.332428, 0.326613, 0.198068, 0.235789, 0.249027, 0.29272, 0.451682, 0.287965, 0.267874, 0.263605, 0.394686, 0.231343, 0.275579, 0.287347, 0.271745, 0.353685, 0.249123, 0.133459, 0.361802, 0.196776, 0.23875, 0.226305, 0.315149, 0.227143, 0.318302, 0.193916, 0.519221, 0.416981, 0.300887, 0.317204, 0.326353, 0.164797, 0.941176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.216667, 0.204403, 0.283654, 0.229728, 0.250286, 0.705739, 0.0895674, 0.377728, 0.380117, 0.233615, 0.504877, 0.744281, 0.354155, 0.596966, 0.468995, 0.883325, 0.547877, 0.760117, 0.889743, 0.83018, 0.665379, 0.668182, 0.595576, 0.309731, 0.471124, 0.351981, 0.572931, 0.610035, 0.505128, 0.486626, 0.318134, 0.316639, 0.745342, 0.350746, 0.593702, 0.478234, 0.137371, 0.213006, 0.227146, 0.396091, 0.522353, 0.406452, 0.276869, 0.109195, 0.424327, 0.213153, 0.285582, 0.277778, 0.414914, 0.327874, 0.201197, 0.177452, 0.410256, 0.438386, 0.219597, 0.372549, 0.205361, 0.150109, 0.42029, 0.323718, 0.198475, 0.306207, 0.42623, 0.350268, 0.3218, 0.22549, 0.316426, 0.23559, 0.442896, 0.448804, 0.287446, 0.270677, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.453672, 0.222902, 0.289545, 0.152313, 0.222099, 0.31935, 0.341983, 0.184948, 0.170111, 0.455231, 0.291787, 0.495705, 0.505923, 0.509375, 0.593645, 0.650073, 0.682264, 1.0161, 0.897775, 0.799532, 0.783622, 1.18857, 0.790283, 1.06431, 0.317271, 0.961823, 0.497447, 0.378425, 0.490505, 0.352642, 0.275764, 0.198496, 0.192287, 0.279284, 0.373626, 0.551158, 0.41939, 0.303175, 0.268849, 0.234693, 0.364198, 0.43159, 0.146708, 0.213936, 0.360612, 0.182363, 0.200717, 0.320546, 0.212245, 0.687158, 0.222584, 0.237295, 0.472378, 0.279948, 0.280252, 0.576498, 0.149889, 0.249373, 0.165946, 0.506866, 0.410526, 0.474539, 0.222183, 0.338265, 0.288688, 0.574123, 0.199588, 0.327922, 0.42453, 0.223714, 0.357074, 0.277021, 0.196524, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.519231, 0.109863, 0.284904, 0.540865, 0.33953, 0.1608, 0.368849, 0.242875, 0.228589, 0.2, 0.152246, 0.149584, 0.301718, 0.515025, 0.32332, 0.501931, 0.511856, 0.827733, 0.983001, 0.531783, 0.735916, 1.22222, 0.742034, 0.505686, 0.491237, 0.393258, 0.474009, 0.434673, 0.52254, 0.40539, 0.236275, 0.57971, 0.521236, 0.421459, 0.51945, 0.395455, 0.521977, 0.388221, 0.333333, 0.35815, 0.42029, 0.290539, 0.520308, 0.227134, 0.502143, 0.233458, 0.129639, 0.167014, 0.269245, 0.238056, 0.230345, 0.327113, 0.338145, 0.20539, 0.176, 0.4114, 0.325926, 0.314288, 0.382129, 0.360691, 0.240999, 0.327739, 0.22619, 0.249859, 0.253286, 0.330677, 0.19395, 0.286765, 0.239961, 0.230989, 0.321273, 0.237654, 0.120541, 0.307394, 0.12439, -0.0441072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.421651, 0.485197, 0.377747, 0.281127, 0.207692, 0.435824, 0.320122, 0.726693, 0.161184, 0.323783, 0.347942, 0.16111, 0.238279, 0.328977, 0.324903, 0.305872, 0.471594, 0.422451, 0.485294, 0.999168, 0.484334, 0.912569, 0.384186, 0.749678, 0.428099, 0.339495, 0.420179, 0.169697, 0.652874, 0.390582, 0.529859, 0.262816, 0.322199, 0.463636, 0.318202, 0.152778, 0.284358, 0.409091, 0.211711, 0.59011, 0.275845, 0.191534, 0.440503, 0.300969, 0.411604, 0.249624, 0.348878, 0.1467, 0.166196, 0.191771, 0.363384, 0.268037, 0.122416, 0.482694, 0.155685, 0.236573, 0.387755, 0.269565, 0.356312, 0.189769, 0.276047, 0.50293, 0.556284, 0.323909, 0.177512, 0.253512, 0.255741, 0.158605, 0.313507, 0.352119, 0.119974, 0.238956, 0.380958, 0.317407, 0.266209, 0.227699, 0.486207, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.106196, 0.128676, 0.208787, 0.376579, 0.148072, 0.337209, 0.303871, 0.372049, 0.348548, 0.361472, 0.373384, 0.423913, 0.392226, 0.411259, 0.492401, 0.642115, 0.467114, 0.552309, 0.84019, 0.541063, 0.471114, 0.76606, 0.298345, 0.451078, 0.429462, 0.46026, 0.627543, 0.326008, 0.216768, 0.391435, 0.182278, 0.387975, 0.408054, 0.402854, 0.432432, 0.52162, 0.504545, 0.817159, 0.359293, 0.137224, 0.21287, 0.30268, 0.301742, 0.365827, 0.336, 0.226186, 0.233877, 0.137249, 0.342765, 0.433264, 0.291034, 0.361043, 0.363977, 0.158189, 0.160015, 0.278281, 0.16891, 0.301858, 0.102772, 0.222515, 0.160324, 0.220555, 0.310402, 0.349278, 0.309896, 0.301942, 0.15966, 0.19917, 0.145455, 0.19708, 0.564667, 0.258621, 0.403532, 0.146711, 0.273016, 0.329588, 0.0743226, 0.446307, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.107407, 0.242083, 0.0272009, 0.389556, 0.332594, 0.246976, 0.110035, 0.17218, 0.269596, 0.111801, 0.241477, 0.157295, 0.267312, 0.450334, 0.247863, 0.379847, 0.490566, 0.550252, 1.00528, 0.499324, 0.771094, 0.28197, 0.414335, 0.401845, 0.34931, 0.346801, 0.345465, 0.905172, 0.301392, 0.327159, 0.198779, 0.265675, 0.158375, 0.663492, 0.626101, 0.234763, 0.457407, 0.391884, 0.294267, 0.345325, 0.45551, 0.296853, 0.175893, 0.190981, 0.206818, 0.194726, 0.380658, 0.340952, 0.209341, 0.170259, 0.312782, 0.395087, 0.206066, 0.225817, 0.234014, 0.270881, 0.214553, 0.399348, 0.115398, 0.216971, 0.253416, 0.322016, 0.258506, 0.267153, 0.213599, 0.435366, 0.344045, 0.181921, 0.130539, 0.135653, 0.400941, 0.182119, 0.240609, 0.22409, 0.192317, 0.350211, 0.315568, 0.16569, 0.335734, 0.239948, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.347826, 0.597458, 0.53766, 0.072336, 0.18183, 0.361379, 0.308378, 0.140324, 0.125465, 0.200475, 0.298408, 0.183428, 0.101525, 0.0774704, 0.37234, 0.108367, 0.20125, 0.415844, 0.516075, 0.433452, 0.579133, 0.582875, 0.445455, 0.600345, 0.576875, 0.382353, 0.41835, 0.307422, 0.520631, 0.230577, 0.258307, 0.272809, 0.280702, 0.575806, 0.509091, 0.34893, 0.426855, 0.177592, 0.262897, 0.181488, 0.343137, 0.218299, 0.238733, 0.316622, 0.209976, 0.110263, 0.32483, 0.329775, 0.26208, 0.0907473, 0.365138, 0.184467, 0.303236, 0.427571, 0.260504, 0.410637, 0.216346, 0.0943478, 0.238047, 0.319914, 0.388731, 0.309242, 0.280971, 0.486794, 0.305911, 0.177485, 0.286346, 0.1754, 0.388459, 0.322564, 0.245881, 0.244624, 0.149573, 0.320233, 0.389275, 0.172892, 0.189008, 0.223326, 0.247813, 0.161082, 0.277849, 0.116959, -0.0138181, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0795455, 0.0928854, 0.253147, 0.238636, 0.199718, 0.157138, 0.344876, 0.115336, 0.338081, 0.179654, 0.217442, 0.104736, 0.0939685, 0.147369, 0.501242, 0.231696, 0.12429, 0.400528, 0.321819, 0.449309, 0.443033, 0.626467, 0.44061, 0.684578, 0.206859, 0.35219, 0.393803, 0.345502, 0.836654, 0.287549, 0.32855, 0.502079, 0.255612, 0.18736, 0.251247, 0.196413, 0.0860037, 0.366146, 0.269682, 0.34495, 0.288239, 0.420307, 0.291023, 0.375969, 0.38082, 0.287011, 0.0685714, 0.551375, 0.150832, 0.508464, 0.260454, 0.22433, 0.191663, 0.252643, 0.328125, 0.269433, 0.24423, 0.309091, 0.194202, 0.177083, 0.210613, 0.414773, 0.151163, 0.220369, 0.246667, 0.373913, 0.171461, 0.305793, 0.447479, 0.489939, 0.232358, 0.272242, 0.385214, 0.20751, 0.40859, 0.263932, 0.300481, 0.311547, 0.311433, 0.170807, 0.160158, 0.218468, 0.298067, 0.451642, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.410256, 0.331341, 0.160137, 0.220382, 0.179399, 0.256303, 0.108883, 0.260967, 0.301224, 0.219213, 0.0807285, 0.12864, 0.217353, 0.308257, 0.0454, 0.291157, 0.371311, 0.526455, 0.270203, 0.51333, 0.556457, 0.797647, 0.626172, 0.60424, 0.360352, 0.475885, 0.424481, 0.463876, 0.228901, 0.200738, 0.36445, 0.579827, 0.334908, 0.487065, 0.253093, 0.489666, 0.146396, 0.358895, 0.365462, 0.5522, 0.424902, 0.178128, 0.227656, 0.214102, 0.236463, 0.207364, 0.39693, 0.0939359, 0.351399, 0.354819, 0.426211, 0.301724, 0.235751, 0.248134, 0.186478, 0.662241, 0.304348, 0.290391, 0.322289, 0.316206, 0.264299, 0.277576, 0.18536, 0.180602, 0.253731, 0.331889, 0.238322, 0.17566, 0.303557, 0.392708, 0.398902, 0.504001, 0.347586, 0.282922, 0.349609, 0.272814, 0.313636, 0.182117, 0.14527, 0.326886, 0.331307, 0.464154, 0.351097, 0.381539, 0.17502, 0.442623, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.201316, 0.193425, 0.210734, 0.302603, 0.236842, 0.165354, 0.06986, 0.0799145, 0.255099, 0.0760778, 0.25483, 0.200349, 0.163029, 0.101292, 0.257732, 0.187471, 0.191116, 0.191296, 0.331075, 0.253794, 0.563849, 0.656139, 0.667176, 0.80052, 0.50719, 0.218105, 0.352672, 0.204074, 0.367168, 0.342631, 0.259311, 0.222039, 0.474957, 0.260017, 0.393004, 0.296629, 0.217054, 0.392504, 0.382387, 0.397878, 0.147137, 0.300926, 0.225955, 0.402893, 0.140454, 0.323953, 0.344176, 0.316005, 0.155298, 0.441107, 0.326275, 0.397465, 0.163609, 0.315722, 0.336302, 0.254237, 0.310685, 0.329104, 0.466059, 0.305566, 0.169836, 0.361375, 0.369091, 0.250264, 0.250433, 0.236549, 0.141765, 0.252022, 0.0843137, 0.152568, 0.25019, 0.200837, 0.302135, 0.356268, 0.19613, 0.277824, 0.267914, 0.300926, 0.42119, 0.329314, 0.220215, 0.470015, 0.270105, 0.47197, 0.320647, 0.292675, 0.210619, 0.161866, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.324263, 0.109101, 0.16703, 0.160425, 0.104869, 0.156015, 0.169001, 0.147154, 0.116803, 0.221805, 0.0656332, 0.433757, 0.117499, 0.218671, 0.392748, 0.245904, 0.190476, 0.233625, 0.319016, 0.333502, 0.644128, 0.45993, 0.906147, 0.269865, 0.590568, 0.366102, 0.284643, 0.422947, 0.245658, 0.295835, 0.50694, 0.339862, 0.195506, 0.171269, 0.228041, 0.322985, 0.138739, 0.259115, 0.244409, 0.328816, 0.620264, 0.369696, 0.245943, 0.182809, 0.296524, 0.405522, 0.1588, 0.190628, 0.272769, 0.206642, 0.142248, 0.194636, 0.0858027, 0.410112, 0.315809, 0.272759, 0.216441, 0.231438, 0.212294, 0.158667, 0.149399, 0.223221, 0.161516, 0.209796, 0.378543, 0.282491, 0.229878, 0.580357, 0.186975, 0.111385, 0.138776, 0.253968, 0.185128, 0.321082, 0.282129, 0.280798, 0.273378, 0.285926, 0.450768, 0.203229, 0.258621, 0.12073, 0.11354, 0.264209, 0.157143, 0.226148, 0.584109, 0.234342, 0.117458, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.432776, 0.184054, 0.188034, 0.192817, 0.487418, 0.182046, 0.41724, 0.249626, 0.215346, 0.132972, 0.135153, 0.209285, 0.147059, 0.198983, 0.211501, 0.186039, 0.259985, 0.231145, 0.0732923, 0.488377, 0.357488, 0.392442, 0.408275, 0.486304, 0.538462, 0.425641, 0.297618, 0.33437, 0.363118, 0.291727, 0.322181, 0.31769, 0.348926, 0.221296, 0.24196, 0.261411, 0.213501, 0.3914, 0.160997, 0.382048, 0.251987, 0.137801, 0.315, 0.396947, 0.342903, 0.18436, 0.269333, 0.381484, 0.217152, 0.098268, 0.223494, 0.481283, 0.221836, 0.219544, 0.251758, 0.492424, 0.403465, 0.196429, 0.421515, 0.212121, 0.356855, 0.0931979, 0.11642, 0.317834, 0.256132, 0.208333, 0.127451, 0.320366, 0.139283, 0.0715871, 0.46732, 0.507463, 0.252086, 0.269086, 0.299771, 0.281342, 0.382812, 0.296075, 0.366148, 0.43609, 0.310256, 0.540152, 0.386716, 0.324821, 0.292887, 0.224099, 0.203283, 0.411585, 0.36553, 0.306122, 0.334448, 0.128205, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.25, 0.28249, 0.398493, 0.189103, 0.397511, 0.246269, 0.1416, 0.281536, 0.154096, 0.356364, 0.124677, 0.182916, 0.130731, 0.14313, 0.251532, 0.1917, 0.175197, 0.121936, 0.20415, 0.224044, 0.244986, 0.387319, 0.354831, 0.426404, 0.560494, 0.454337, 0.406, 0.380612, 0.378078, 0.177551, 0.519876, 0.4609, 0.224532, 0.36179, 0.160011, 0.215934, 0.423535, 0.127462, 0.123683, 0.191983, 0.389321, 0.477273, 0.21437, 0.356939, 0.610711, 0.242875, 0.321442, 0.363316, 0.191261, 0.25357, 0.303007, 0.230477, 0.419965, 0.329888, 0.300197, 0.455916, 0.109999, 0.283978, 0.314431, 0.27208, 0.447857, 0.237231, 0.437004, 0.231188, 0.386207, 0.161192, 0.254902, 0.237926, 0.292708, 0.312044, 0.255725, 0.340586, 0.235801, 0.227136, 0.307765, 0.389405, 0.237179, 0.500638, 0.196195, 0.223266, 0.456592, 0.293605, 0.270727, 0.426147, 0.190909, 0.300276, 0.384448, 0.333984, 0.386905, 0.278025, 0.259894, 0.475321, 0.336, 0.433413, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.106532, 0.316653, 0.0842248, 0.131957, 0.172011, 0.0619094, 0.240454, 0.457492, 0.285052, 0.165035, 0.197147, 0.225696, 0.35725, 0.287548, 0.185895, 0.167603, 0.409442, 0.159307, 0.208001, 0.313575, 0.607812, 0.454545, 0.45889, 0.362045, 0.667797, 0.278975, 0.137794, 0.234848, 0.244091, 0.441636, 0.209532, 0.42983, 0.137954, 0.216167, 0.304823, 0.31124, 0.188447, 0.124433, 0.216409, 0.197884, 0.348219, 0.161853, 0.445012, 0.467572, 0.342687, 0.27367, 0.492996, 0.267797, 0.604708, 0.168781, 0.254378, 0.474398, 0.178039, 0.238264, 0.155427, 0.277992, 0.241192, 0.523529, 0.441176, 0.233136, 0.286661, 0.224681, 0.252078, 0.220242, 0.211312, 0.163374, 0.125644, 0.226891, 0.232113, 0.353251, 0.25985, 0.163578, 0.334032, 0.189365, 0.322936, 0.266129, 0.266858, 0.41452, 0.253761, 0.395265, 0.221737, 0.239496, 0.343186, 0.323469, 0.273421, 0.422033, 0.345057, 0.329532, 0.31757, 0.472601, 0.345271, 0.2635, 0.230315, 0.327485, 0.357798, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.424107, 0.210792, 0.0966899, 0.14102, 0.380392, 0.235426, 0.25, 0.199476, 0.173358, 0.11146, 0.116909, 0.128682, 0.345949, 0.254011, 0.218913, 0.132656, 0.177936, 0.13823, 0.190451, 0.305564, 0.204122, 0.159466, 0.389812, 0.410314, 0.525439, 0.479106, 0.696972, 0.429963, 0.273096, 0.622659, 0.319573, 0.231884, 0.192126, 0.0866534, 0.282607, 0.19491, 0.240892, 0.302186, 0.237048, 0.314809, 0.285855, 0.176724, 0.206256, 0.266602, 0.288745, 0.456731, 0.195057, 0.252738, 0.177609, 0.100667, 0.252973, 0.315217, 0.20463, 0.192669, 0.202881, 0.132077, 0.326787, 0.281588, 0.347832, 0.45122, 0.177382, 0.105333, 0.36909, 0.163418, 0.227614, 0.375398, 0.350685, 0.217557, 0.186335, 0.170472, 0.343316, 0.244562, 0.483471, 0.469844, 0.023302, 0.264855, 0.466236, 0.343023, 0.398039, 0.234848, 0.355128, 0.578488, 0.466268, 0.444178, 0.248139, 0.471245, 0.223549, 0.262821, 0.324421, 0.321881, 0.299974, 0.689232, 0.206294, 0.348387, 0.291549, 0.345022, 0.112285, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.21478, 0.07795, 0.0832302, 0.322542, 0.0792881, 0.14352, 0.0851605, 0.18616, 0.204901, 0.229472, 0.109959, 0.216659, 0.0570231, 0.0833872, 0.212461, 0.302658, 0.0605387, 0.0664369, 0.217949, 0.562687, 0.439344, 0.468835, 0.431818, 0.226545, 0.269121, 0.174546, 0.129449, 0.429565, 0.473944, 0.301889, 0.502469, 0.450859, 0.175325, 0.393712, 0.2138, 0.379845, 0.146603, 0.20766, 0.334964, 0.310929, 0.159567, 0.454094, 0.114662, 0.310497, 0.271029, 0.21164, 0.116096, 0.320988, 0.139925, 0.0864662, 0.240935, 0.263333, 0.118846, 0.309278, 0.420961, 0.223616, 0.438378, 0.209672, 0.352531, 0.30583, 0.250973, 0.62354, 0.251404, 0.0663481, 0.148802, 0.499615, 0.252977, 0.188217, 0.340909, 0.298851, 0.127028, 0.26616, 0.21021, 0.356087, 0.204346, 0.203831, 0.366146, 0.22528, 0.336517, 0.410034, 0.204392, 0.272265, 0.0931274, 0.320881, 0.262915, 0.646782, 0.253823, 0.200921, 0.34188, 0.326848, 0.309168, 0.415946, 0.244004, 0.43913, 0.752727, 0.530923, 0.669922, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2, 0.168776, 0.106185, 0.286154, 0.321717, 0.157324, 0.160584, 0.310078, 0.144893, 0.129149, 0.219404, 0.0996522, 0.506912, 0.164483, 0.296242, 0.12824, 0.139356, 0.19223, 0.131277, 0.386208, 0.355042, 0.281992, 0.212789, 0.173526, 0.279889, 0.367776, 0.526604, 0.358012, 0.310041, 0.357599, 0.382812, 0.243502, 0.150141, 0.232932, 0.29159, 0.267879, 0.33251, 0.166958, 0.390805, 0.196625, 0.362554, 0.297768, 0.268922, 0.140399, 0.370947, 0.316929, 0.238543, 0.396465, 0.127648, 0.292774, 0.114174, 0.0463667, 0.218797, 0.247905, 0.124472, 0.212439, 0.284858, 0.295136, 0.175, 0.053961, 0.223907, 0.153419, 0.197663, 0.331989, 0.0828459, 0.291357, 0.297544, 0.515485, 0.244098, 0.213468, 0.319736, 0.160329, 0.16092, 0.386987, 0.20549, 0.385653, 0.303571, 0.423788, 0.293514, 0.276423, 0.254458, 0.257182, 0.191818, 0.446634, 0.251755, 0.551094, 0.309436, 0.405004, 0.343636, 0.409268, 0.380435, 0.45, 0.307777, 0.444444, 0.489665, 0.178733, 0.404305, 0.49746, 0.527092, 0.449162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0771739, 0.123594, 0.0271033, 0.0237289, 0.124861, 0.197379, 0.180602, 0.168224, 0.156629, 0.221671, 0.0552482, 0.169389, 0.234921, 0.1526, 0.146456, 0.234973, 0.0988696, 0.125624, 0.161724, 0.263195, 0.271382, 0.217347, 0.466926, 0.364079, 0.452414, 0.257019, 0.30831, 0.4125, 0.207486, 0.354086, 0.102218, 0.337415, 0.28211, 0.163628, 0.264204, 0.364468, 0.224964, 0.158479, 0.156966, 0.25393, 0.206955, 0.475493, 0.180224, 0.119331, 0.164968, 0.0819779, 0.246489, 0.248515, 0.241784, 0.110575, 0.243767, 0.256296, 0.332103, 0.310498, 0.1407, 0.189602, 0.380567, 0.268398, 0.149554, 0.135204, 0.237073, 0.0639617, 0.212744, 0.113612, 0.215397, 0.168533, 0.192469, 0.314054, 0.429928, 0.211885, 0.124372, 0.234929, 0.445024, 0.384615, 0.330981, 0.32161, 0.231199, 0.176688, 0.172672, 0.218324, 0.193917, 0.170455, 0.295617, 0.266665, 0.227957, 0.210882, 0.454215, 0.330545, 0.26, 0.549149, 0.440613, 0.247846, 0.316173, 0.53875, 0.425926, 0.514178, 0.260519, 0.527341, 0.330078, 0.372135, 0.357557, 1.59322, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0967033, 0.0832225, 0.140356, 0.111031, 0.0418251, 0.183086, 0.281052, 0.269528, 0.133708, 0.115207, 0.128644, 0.114976, 0.313381, 0.212851, 0.118687, 0.230713, 0.165435, 0.141152, 0.267885, 0.226564, 0.124276, 0.25947, 0.249703, 0.320938, 0.470899, 0.357651, 0.192771, 0.354069, 0.274809, 0.251113, 0.152576, 0.295329, 0.189156, 0.265053, 0.289943, 0.228183, 0.153916, 0.25861, 0.247312, 0.112301, 0.391545, 0.252914, 0.127059, 0.090566, 0.251549, 0.217989, 0.277941, 0.227792, 0.200013, 0.181567, 0.214218, 0.536508, 0.443478, 0.0984113, 0.259452, 0.126157, 0.258895, 0.170189, 0.134162, 0.240741, 0.23445, 0.262304, 0.189469, 0.481142, 0.117708, 0.21122, 0.339802, 0.186699, 0.21799, 0.306615, 0.20202, 0.256952, 0.243007, 0.246333, 0.287339, 0.301187, 0.33049, 0.243413, 0.252201, 0.569265, 0.437222, 0.270677, 0.260417, 0.273322, 0.38338, 0.36129, 0.304151, 0.408163, 0.275481, 0.476558, 0.495658, 0.448207, 0.273611, 0.344406, 0.415786, 0.614962, 0.52795, 0.607795, 0.242996, 0.758273, 0.585729, 0.417121, 0.530864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.82353, 0.227108, 0.0420741, 0.0668665, 0.158559, 0.117839, 0.251778, 0.199192, 0.156624, 0.156737, 0.188823, 0.273369, 0.145313, 0.313819, 0.0562637, 0.230551, 0.0848252, 0.154915, 0.217241, 0.142547, 0.170868, 0.239651, 0.409375, 0.367383, 0.300345, 0.403243, 0.319088, 0.372347, 0.397959, 0.235313, 0.307669, 0.342081, 0.242547, 0.108347, 0.225815, 0.263226, 0.204224, 0.213036, 0.23225, 0.333117, 0.0915698, 0.197466, 0.217468, 0.154785, 0.4125, 0.16252, 0.197758, 0.293288, 0.0647367, 0.306084, 0.205978, 0.447296, 0.174788, 0.359023, 0.30804, 0.265859, 0.258761, 0.144231, 0.281081, 0.0887104, 0.246346, 0.353092, 0.115678, 0.242001, 0.28046, 0.353397, 0.119533, 0.235664, 0.286567, 0.395542, 0.2131, 0.184783, 0.392157, 0.20042, 0.198553, 0.236679, 0.417378, 0.381348, 0.260915, 0.304103, 0.20789, 0.20777, 0.262492, 0.151542, 0.303525, 0.15736, 0.186677, 0.343327, 0.318898, 0.477518, 0.551027, 0.519458, 0.450746, 0.214215, 0.367619, 0.342857, 0.342927, 0.455229, 0.43821, 0.288763, 0.519814, 0.491831, 0.417083, 0.429245, 0.629213, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.172474, 0.0937052, 0.117133, 0.205204, 0.109735, 0.084398, 0.201651, 0.0518395, 0.379635, 0.192348, 0.28626, 0.12383, 0.135545, 0.151842, 0.11244, 0.15756, 0.283593, 0.258511, 0.130685, 0.156093, 0.209706, 0.174528, 0.295098, 0.391558, 0.267837, 0.149321, 0.360687, 0.195532, 0.287268, 0.14413, 0.277829, 0.349624, 0.215738, 0.178439, 0.229519, 0.368098, 0.227079, 0.118689, 0.413957, 0.209697, 0.224403, 0.201957, 0.0887978, 0.205491, 0.0714789, 0.208666, 0.424088, 0.206897, 0.173124, 0.241132, 0.393103, 0.0908955, 0.32113, 0.171756, 0.109804, 0.282332, 0.274244, 0.172914, 0.386954, 0.285714, 0.199808, 0.228571, 0.305455, 0.122676, 0.4824, 0.293333, 0.166599, 0.29725, 0.211031, 0.271045, 0.271842, 0.143764, 0.239855, 0.237704, 0.369079, 0.359564, 0.276364, 0.268847, 0.272687, 0.372631, 0.268832, 0.321697, 0.192015, 0.197876, 0.554004, 0.584615, 0.284307, 0.233609, 0.196049, 0.212012, 0.22211, 0.232931, 0.328302, 0.479773, 0.421434, 0.40681, 0.30146, 0.197542, 0.68304, 0.415584, 0.590062, 0.538809, 0.770279, 0.502393, 0.440205, 0.461142, 0.503049, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.234568, 0.186375, 0.149545, 0.222408, 0.104412, 0.158893, 0.0455046, 0.122065, 0.0985222, 0.139442, 0.0788549, 0.0779584, 0.164925, 0.182218, 0.137165, 0.191194, 0.307825, 0.195237, 0.17393, 0.240561, 0.170868, 0.212532, 0.0860659, 0.23542, 0.14081, 0.390934, 0.129041, 0.253595, 0.204643, 0.455908, 0.258025, 0.209817, 0.0887959, 0.158295, 0.284117, 0.160021, 0.235152, 0.23994, 0.249027, 0.312731, 0.365716, 0.0724138, 0.217256, 0.206805, 0.140534, 0.280122, 0.167708, 0.154679, 0.241141, 0.070927, 0.340301, 0.230742, 0.229175, 0.217319, 0.341271, 0.203393, 0.189339, 0.285344, 0.115503, 0.208429, 0.130016, 0.100829, 0.145946, 0.352941, 0.165306, 0.492126, 0.316667, 0.172104, 0.223297, 0.317864, 0.274725, 0.285287, 0.41185, 0.367632, 0.384454, 0.418546, 0.433479, 0.0922266, 0.309562, 0.413104, 0.138587, 0.659515, 0.175072, 0.348214, 0.30152, 0.242796, 0.333862, 0.524057, 0.495144, 0.258201, 0.34959, 0.346707, 0.523201, 0.26706, 0.296774, 0.367377, 0.352041, 0.590887, 0.87446, 0.505714, 0.757031, 0.434137, 0.638999, 0.596654, 0.619496, 0.765141, 0.560129, 0.923077, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.145968, 0.232243, 0.273721, 0.0551471, 0.228247, 0.138475, 0.115119, 0.168, 0.0874393, 0.117342, 0.0799141, 0.0666888, 0.0937158, 0.0834807, 0.228703, 0.232372, 0.257153, 0.116923, 0.33612, 0.179842, 0.13913, 0.192849, 0.118988, 0.399796, 0.39461, 0.247222, 0.236323, 0.191794, 0.141629, 0.248519, 0.335323, 0.260729, 0.100938, 0.317836, 0.299636, 0.213819, 0.221645, 0.203704, 0.148809, 0.222968, 0.163109, 0.173372, 0.273934, 0.243537, 0.227482, 0.0882345, 0.102624, 0.220444, 0.225026, 0.151829, 0.184414, 0.225472, 0.0329332, 0.114205, 0.220736, 0.149453, 0.0795539, 0.170505, 0.288991, 0.178115, 0.213788, 0.280612, 0.434753, 0.113598, 0.048, 0.236759, 0.200391, 0.278531, 0.163968, 0.466366, 0.279674, 0.445565, 0.129357, 0.599247, 0.266853, 0.146751, 0.342237, 0.394161, 0.368452, 0.510406, 0.381716, 0.301705, 0.310565, 0.341632, 0.409302, 0.376543, 0.217842, 0.297999, 0.510651, 0.384314, 0.216324, 0.476275, 0.22343, 0.53869, 0.535837, 0.213951, 0.529183, 0.572619, 0.367206, 0.612399, 0.29997, 0.535, 0.403084, 0.727559, 0.413606, 0.47843, 0.145304, 0.675357, 0.710545, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0764791, 0.0568116, 0.121032, 0.0911369, 0.0557916, 0.151037, 0.166786, 0.141958, 0.0422785, 0.217679, 0.0815667, 0.150896, 0.168102, 0.201709, 0.130661, 0.245275, 0.202068, 0.0650847, 0.147692, 0.144361, 0.187739, 0.288392, 0.0755775, 0.0667594, 0.278503, 0.273238, 0.262529, 0.297358, 0.389581, 0.193289, 0.169999, 0.213048, 0.161818, 0.155906, 0.333603, 0.298651, 0.158033, 0.213908, 0.198328, 0.216162, 0.0935038, 0.0886549, 0.309384, 0.172981, 0.0869176, 0.220058, 0.321429, 0.23201, 0.226649, 0.0984093, 0.307046, 0.210508, 0.327507, 0.292796, 0.194699, 0.135878, 0.15923, 0.329598, 0.0447917, 0.216501, 0.241926, 0.150105, 0.170037, 0.24508, 0.282579, 0.233572, 0.273111, 0.362651, 0.237642, 0.395406, 0.227416, 0.386332, 0.148617, 0.364389, 0.29784, 0.452665, 0.0715133, 0.432878, 0.260416, 0.177839, 0.524452, 0.549444, 0.141167, 0.203257, 0.295862, 0.167402, 0.509218, 0.38489, 0.495941, 0.623377, 0.444046, 0.591336, 0.614706, 0.612121, 0.30388, 0.314126, 0.708861, 0.502888, 0.713959, 0.571734, 0.698619, 0.679498, 0.615894, 0.703912, 0.282402, 0.857297, 0.706081, 0.672239, 0.826923, 0.25641, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.11903, 0.12334, 0.161125, 0.1287, 0.107143, 0.0514736, 0.0438095, 0.176113, 0.126755, 0.0997899, 0.229765, 0.0354138, 0.148591, 0.107968, 0.0262935, 0.138889, 0.0895326, 0.149742, 0.142173, 0.174743, 0.11557, 0.143463, 0.108614, 0.240845, 0.266324, 0.140402, 0.162954, 0.288927, 0.374046, 0.210352, 0.253534, 0.138887, 0.182836, 0.194554, 0.346964, 0.098344, 0.20805, 0.115568, 0.135854, 0.131444, 0.351213, 0.145762, 0.189176, 0.162963, 0.206985, 0.199654, 0.268333, 0.133963, 0.134269, 0.189121, 0.0973304, 0.201101, 0.209049, 0.137608, 0.220689, 0.144928, 0.182796, 0.0621561, 0.162338, 0.134981, 0.136884, 0.0954133, 0.147726, 0.416314, 0.157141, 0.288127, 0.276394, 0.293578, 0.254151, 0.342213, 0.247623, 0.226753, 0.141884, 0.239905, 0.22807, 0.162382, 0.340006, 0.368564, 0.280402, 0.431207, 0.469318, 0.171615, 0.185684, 0.399808, 0.604462, 0.325, 0.215385, 0.34061, 0.418439, 0.401675, 0.316428, 0.690465, 0.344639, 0.437743, 0.459117, 0.398966, 0.505703, 0.281819, 0.608563, 0.517677, 0.514413, 0.509363, 0.320759, 0.715466, 0.386701, 0.486458, 0.732264, 0.973813, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0200506, -0.00281403, 0.0656829, 0.147015, 0.0498333, 0.115331, 0.0784652, 0.0344711, 0.17526, 0.14996, 0.0564611, 0.149473, 0.0719811, 0.209242, 0.124148, 0.135288, 0.251652, 0.169615, 0.188574, 0.071281, 0.271517, 0.224933, 0.247585, 0.153653, 0.367308, 0.366172, 0.110314, 0.398171, 0.154256, 0.172063, 0.17318, 0.125786, 0.101778, 0.250962, 0.268657, 0.153741, 0.314449, 0.0677922, 0.212118, 0.130521, 0.240868, 0.0754375, 0.0679592, 0.106545, 0.275729, 0.154366, 0.0874178, 0.0972222, 0.139056, 0.4603, 0.0930233, 0.281795, 0.238557, 0.196312, 0.15176, 0.198141, 0.190289, 0.282353, 0.147809, 0.146341, 0.25871, 0.124537, 0.183853, 0.190959, 0.292347, 0.201808, 0.236874, 0.113801, 0.327731, 0.126044, 0.309414, 0.244432, 0.261477, 0.249758, 0.26621, 0.252349, 0.179957, 0.340973, 0.297619, 0.468182, 0.497302, 0.246332, 0.406947, 0.235064, 0.515638, 0.343083, 0.132618, 0.403101, 0.316667, 0.582, 0.305889, 0.507498, 0.533511, 0.347797, 0.767899, 0.495142, 0.311708, 0.758137, 0.662156, 0.743472, 0.589487, 0.274992, 0.562959, 0.449903, 0.507391, 0.320817, 0.373333, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3, 0.0819084, 0.0835862, 0.117551, 0.135802, 0.142202, 0.1708, 0.240327, 0.0233491, 0.0798077, 0.127039, 0.192404, 0.205432, 0.0358974, 0.130172, 0.0875421, 0.152735, 0.0865429, 0.0724265, 0.193188, 0.157451, 0.0460829, 0.106648, 0.148551, 0.231338, 0.17388, 0.219048, 0.130769, 0.172402, 0.269224, 0.108733, 0.112842, 0.249754, 0.06039, 0.24963, 0.253731, 0.134206, 0.0780566, 0.0498612, 0.136187, 0.387207, 0.223181, 0.299327, 0.19308, 0.22077, 0.142246, 0.193548, 0.131147, 0.202339, 0.175403, 0.336453, 0.195931, 0.245156, 0.143369, 0.273624, 0.210341, 0.189898, 0.11329, 0.164609, 0.201389, 0.142598, 0.027163, 0.2301, 0.191235, 0.302053, 0.272069, 0.131313, 0.267241, 0.365582, 0.168498, 0.428895, 0.272865, 0.110366, 0.263489, 0.213956, 0.0806452, 0.276555, 0.307426, 0.336434, 0.332386, 0.344164, 0.241004, 0.585294, 0.399364, 0.318898, 0.374769, 0.195211, 0.369363, 0.419048, 0.388828, 0.285198, 0.590545, 0.302679, 0.513177, 0.821333, 0.605553, 0.336735, 0.762069, 0.618026, 0.425861, 0.313676, 0.859267, 0.32983, 0.776515, 0.255559, 0.397516, 0.833333, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0867959, 0.22118, 0.0664207, 0.122975, 0.214174, 0.0300643, 0.0504831, 0.148707, 0.167725, 0.0960199, 0.214449, 0.149476, 0.0268104, 0.111394, 0.280548, 0.138351, 0.208831, 0.063676, 0.106063, 0.176421, 0.170592, 0.0471935, 0.104331, 0.111709, 0.165354, 0.332075, 0.166157, 0.0606667, 0.0921667, 0.262692, 0.135889, 0.123479, 0.22432, 0.0463091, 0.12659, 0.0671136, 0.20894, 0.272269, 0.276913, 0.166957, 0.193768, 0.234851, 0.191534, 0.0929293, 0.34499, 0.107429, 0.194198, 0.149587, 0.0348106, 0.305292, 0.127314, 0.195808, 0.217029, 0.171543, 0.0979947, 0.167984, 0.0701336, 0.197884, 0.142222, 0.201305, 0.167219, 0.202381, 0.0865385, 0.226776, 0.0568377, 0.23369, 0.242935, 0.332443, 0.464832, 0.200845, 0.447312, 0.128323, 0.381065, 0.442145, 0.472328, 0.173077, 0.287879, 0.411765, 0.464527, 0.419966, 0.517695, 0.276052, 0.395524, 0.476785, 0.270716, 0.257333, 0.232705, 0.346674, 0.397759, 0.312769, 0.355731, 0.461926, 0.368534, 0.529032, 0.659322, 0.458544, 0.479709, 0.49199, 0.467937, 0.427143, 0.581153, 0.557951, 0.498825, 0.323392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0357776, 0.148679, 0.0783369, 0.272809, 0.0724638, 0.0557135, 0.0491877, 0.0997763, 0.0268861, 0.0664546, 0.217989, 0.160516, 0.253812, 0.0298969, 0.0959302, 0.153112, 0.0765799, 0.15415, 0.17232, 0.0904954, -0.00238602, 0.141827, 0.0649686, 0.078629, 0.22385, 0.188015, 0.209314, 0.285741, 0.138519, 0.0554379, 0.105518, 0.330798, 0.174984, 0.118273, 0.202146, 0.231938, 0.0560415, 0.0933333, 0.249589, 0.116846, 0.337276, 0.122117, 0.0961402, 0.0491521, 0.110305, 0.0474074, 0.217843, 0.141152, 0.0998024, 0.19187, 0.139014, 0.14636, 0.0514461, 0.119797, 0.248416, 0.321286, 0.262771, 0.237351, 0.137126, 0.136077, 0.0996337, 0.138114, 0.0622378, 0.204947, 0.256684, 0.128409, 0.470788, 0.254821, 0.264151, 0.0221147, 0.0990127, 0.0948276, 0.222727, 0.478248, 0.207286, 0.401333, 0.219295, 0.494709, 0.274019, 0.262815, 0.170579, 0.494787, 0.263002, 0.220508, 0.262172, 0.216113, 0.23805, 0.273632, 0.432647, 0.445639, 0.201461, 0.537391, 0.394145, 0.439359, 0.574052, 0.432108, 0.487277, 0.564739, 0.439322, 0.683432, 0.480302, 0.424125, 0.44242, 0.198511, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0427171, 0.0826667, 0.0318066, 0.0181372, 0.085147, 0.051764, 0.16484, 0.108048, 0.0784205, 0.103945, 0.0357724, 0.14837, 0.0708749, 0.0582603, 0.131233, 0.0353211, 0.124543, 0.188314, 0.125292, 0.117815, 0.111732, 0.124887, 0.0566274, 0.307943, 0.114227, 0.172083, 0.108212, 0.242692, 0.225556, 0.141834, 0.278398, 0.131899, 0.147107, -0.00255194, 0.396825, 0.190217, 0.21189, 0.086729, 0.192016, 0.0751801, 0.151261, 0.178846, 0.228283, 0.214212, 0.164706, 0.147152, 0.207047, 0.275132, 0.271921, 0.195349, 0.0928854, 0.37931, 0.137033, 0.116915, 0.237332, 0.178824, 0.42329, 0.154318, 0.0419799, 0.189072, 0.304759, 0.0983558, 0.315261, 0.250943, 0.0671944, 0.138592, 0.209939, 0.358871, 0.288235, 0.242915, 0.187771, 0.152503, 0.313515, 0.199421, 0.398175, 0.239953, 0.172898, 0.274582, 0.501575, 0.238368, 0.254604, 0.330746, 0.231348, 0.260163, 0.550805, 0.21697, 0.237683, 0.381312, 0.331318, 0.445982, 0.322595, 0.292938, 0.595019, 0.277118, 0.378634, 0.486431, 0.683761, 0.622979, 0.743964, 0.48777, 0.462585, 0.807339, 0.388889, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0689779, 0.0821733, 0.118613, 0.0254083, 0, 0.107865, -0.00821046, 0.0645732, 0.127182, 0.0739623, 0.12801, 0.0262345, 0.189295, 0.0398075, 0.0360656, 0.0657576, 0.218452, 0, 0.0665016, 0.0815126, 0.154973, 0.125, 0.171679, 0.0734788, 0.199148, 0.0910983, 0.0486247, 0.0497829, 0.14031, 0.0526241, 0.0994748, 0.159986, 0.116575, 0.0647115, 0.204515, 0.0192256, 0.148362, 0.174805, 0.0208551, 0.156932, 0.207274, 0.136536, 0.0933724, 0.0630462, 0.140319, 0.0271003, 0.222206, 0.0740235, 0.138625, 0.163179, 0.142045, 0.0954129, 0.29693, 0.0934866, 0.135398, 0.115412, 0.260308, 0.138754, 0.129446, 0.173748, 0.135802, 0.189046, 0.179676, 0.173691, 0.110769, 0.213117, 0.243141, 0.256, 0.08, 0.197034, 0.160411, 0.158571, 0.238412, 0.282615, 0.460938, 0.241161, 0.299138, 0.230864, 0.273691, 0.373386, 0.184548, 0.197115, 0.303336, 0.276353, 0.408215, 0.285171, 0.256198, 0.204346, 0.49543, 0.278505, 0.410403, 0.38749, 0.452541, 0.186013, 0.623293, 0.564604, 0.509333, 0.35184, 0.455432, 0.268421, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0399465, -0.00404063, 0.0287614, 0.0338983, 0.142254, 0.0589292, 0.0666322, 0, 0.156284, 0, 0.0977011, 0.0312098, 0.0202139, 0.225856, 0.202105, 0.0796624, 0.0966248, 0.194599, 0.0885609, 0.156838, 0.185483, 0.120233, 0.231095, 0.0967901, 0.135019, 0.0904309, 0.0510946, 0.1475, 0.0937664, 0.0909545, 0.0292059, 0.103245, 0.127613, 0.0433267, 0.108919, 0.0705293, 0.236979, 0.116836, 0.212923, 0.11421, 0.630854, 0.131818, 0.178485, 0.119456, 0.119105, 0.0975369, 0.111714, 0.11678, 0.208086, 0.209707, 0.111385, 0.0813713, 0.195992, 0.252252, 0.087892, 0.0959079, 0.22222, 0.113882, 0.169496, 0.209524, 0.100068, 0.176842, 0.238532, 0.179893, 0.206653, 0.265172, 0.197137, 0.142125, 0.231588, 0.138898, 0.195963, 0.0968876, 0.341055, 0.232031, 0.234765, 0.314921, 0.312544, 0.211752, 0.171216, 0.195946, 0.384382, 0.368119, 0.520814, 0.414677, 0.421076, 0.31994, 0.294872, 0.311778, 0.334932, 0.288387, 0.406639, 0.467633, 0.52494, 0.509501, 0.472653, 0.404472, 0.402175, 0.292519, 0.471588, 0.265714, 0.340909, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0622239, 0.0845837, 0.153605, 0.0992647, 0.0586701, 0.0505218, 0.0412239, 0.103752, 0.0462752, 0.11314, 0.0251608, 0.0735294, 0.0459019, 0.0387938, 0.0612148, 0.108782, 0.0851335, 0.071085, 0.0333388, 0.0725694, 0.148012, 0.102372, 0.042595, 0.40809, 0.144664, 0.13513, 0.160303, 0.2936, 0.0811072, 0.0903185, 0.196085, 0.180118, 0.137063, 0.0502825, 0.0915344, 0.0741793, 0.0874126, 0.105919, 0.0806356, 0.0975897, 0.0952268, 0.168997, 0.211089, 0.103354, 0.0729226, 0.109563, 0.0497281, 0.0975813, 0.0589076, 0.113035, 0.198626, 0.105159, 0.218247, 0.129699, 0.0695393, 0.192784, 0.114617, 0.116239, 0.117875, 0.161105, 0.11642, 0.0740132, 0.113173, 0.0841935, 0.340858, 0.123063, 0.183156, 0.138339, 0.276213, 0.211618, 0.210566, 0.267032, 0.155203, 0.193648, 0.146614, 0.171452, 0.263227, 0.807692, 0.384, 0.302776, 0.291602, 0.31533, 0.255213, 0.364011, 0.285745, 0.427466, 0.494325, 0.190038, 0.405357, 0.379061, 0.344935, 0.606136, 0.386909, 0.446396, 0.343997, 0.55012, 0.310058, 0.396667, 0.566038, 0.714286, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0708891, 0.108742, 0.125022, 0.0287649, 0.0624035, 0.0295144, 0.10859, 0, 0.0817425, 0.170477, 0.0427807, 0.0280287, 0.105197, 0.0820312, 0.0757967, 0.0734551, 0.082879, 0.169063, 0.0752657, 0.0427023, 0.0968746, 0.0377229, 0.139697, 0.0864198, 0.0832932, 0.113333, 0.088, 0.127256, 0.110407, 0.0881812, 0.12677, 0.065913, 0.0295209, 0.0717194, 0.0288123, 0.0774083, 0.15583, 0.0457589, 0.19414, 0.168417, 0.056734, 0.0586566, 0.175355, 0.149507, 0.0875181, 0.125917, 0.13317, 0.0649351, 0.122769, 0.0779962, 0.0569059, 0.0249042, 0.202194, 0.118195, 0.233275, 0.130623, 0.164706, 0.145302, 0.0932652, 0.196092, 0.212531, 0.047619, 0.167233, 0.115705, 0.0500468, 0.0623739, 0.115639, 0.133639, 0.368519, 0.116013, 0.081847, 0.303989, 0.117151, 0.266825, 0.230107, 0.250646, 0.257521, 0.315129, 0.253154, 0.14784, 0.120879, 0.314483, 0.451037, 0.477864, 0.28278, 0.206974, 0.395295, 0.330452, 0.175074, 0.265625, 0.438545, 0.593042, 0.636364, 0.286704, 0.382169, 0.299552, 0.388007, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0354241, 0, 0.0288462, 0.0512626, 0.0344768, 0.0567916, 0.0202077, 0.167331, 0.020269, 0.0301974, 0.0977371, 0.0868421, 0.0279321, 0.0954483, 0.104278, 0.187261, 0.087146, 0.0398551, 0.053477, 0.0931373, 0.112855, 0.132364, 0.0491956, 0.0577909, 0.101255, 0.275891, 0.181997, 0.054158, 0.111475, -0.00317725, 0.0716193, 0.061008, 0.134103, 0.128114, 0.120528, 0, 0.0475371, 0.0967759, 0.141599, 0.068766, 0.188552, 0.150847, 0.115787, 0.0447685, 0.0735409, 0.100174, 0.0719424, 0.103372, 0.0884383, 0.132536, 0.221475, 0.139586, 0.0799409, 0.23795, 0.0726965, 0.0962199, 0.0778952, 0.0572775, 0.0801833, 0.0293295, 0.116214, 0.116423, 0.0661373, 0.243718, 0.145352, 0.0720436, 0.402643, 0.123166, 0.134698, 0.13959, 0.221671, 0.394707, 0.143548, 0.137716, 0.422308, 0.147799, 0.149708, 0.1817, 0.165785, 0.358755, 0.0978232, 0.265209, 0.248169, 0.3125, 0.252874, 0.23686, 0.301113, 0.348925, 0.611905, 0.400943, 0.593043, 0.438914, 0.578723, 0.376845, 0.396552, 0.424342, 0.336735, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.04383, 0.0251144, 0.0521464, 0, 0.0544872, 0, 0.0240902, 0.113504, 0.109036, 0, 0.103293, 0, 0.0249478, 0.141997, 0.0971313, 0.0252101, 0.0607004, 0.0830996, 0.0299331, -0.00357293, 0.118099, 0, 0.225359, 0.138542, 0.0892572, 0.0435593, 0.258394, 0.0549051, 0.0643233, 0.161538, 0.0425577, 0.0926806, 0.0883327, 0.0249225, 0, 0.102649, 0.0653031, 0.0293439, 0.134606, 0.13917, 0.103355, 0.0571831, 0.087509, 0.046934, 0.084471, 0.0358613, 0.174668, 0.0803004, 0.131362, 0.114397, 0.102507, 0.173604, 0.11178, 0.0900048, 0.169392, 0.122512, 0.189767, 0.192383, 0.161772, 0.148398, 0.0883291, 0.198347, 0.128984, 0.14, 0.150106, 0.0654143, 0.201766, 0.193024, 0.132603, 0.183918, 0.20056, 0.35931, 0.235938, 0.271186, 0.261029, 0.248419, 0.115892, 0.318879, 0.0812034, 0.144751, 0.201724, 0.155676, 0.373394, 0.299864, 0.444638, 0.31184, 0.249909, 0.674553, 0.205742, 0.275679, 0.274242, 0.456657, 0.189983, 0.288072, 0.352632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0461957, 0.0533528, 0.0193017, 0.0189904, 0.0313777, 0.063519, -0.00715766, 0.0255291, 0.0301515, 0.083358, 0.0275624, 0.0287121, 0.124098, 0.0305724, 0.0752577, 0.0904461, 0.0911957, 0.052223, 0.0947728, 0.0514452, 0.0425845, -0.00308014, 0.094502, 0.101662, 0.0950192, 0.181818, 0.0585258, 0.0611354, 0.0837147, 0.0864777, 0.0387036, 0.0827793, 0.031213, 0.0232953, 0.0253672, 0.147937, 0.103956, 0.126482, 0.0566963, 0.081234, 0.0745707, 0.0466269, 0.197732, 0.104152, 0.0825285, 0.118288, 0.268333, 0.0778426, 0.122602, 0.130804, 0.0708525, 0.142743, 0.055494, 0.0219073, 0.129352, 0.089396, 0.10832, 0.0535484, 0.0196278, 0.267714, 0.178374, 0.134675, 0.119221, 0.244762, 0.0748768, 0.160277, 0.243243, 0.323137, 0.151795, 0.253582, 0.181641, 0.125404, 0.292394, 0.228469, 0.617627, 0.133754, 0.172485, 0.179011, 0.0512891, 0.251548, 0.322208, 0.155414, 0.244242, 0.245577, 0.184135, 0.372824, 0.385321, 0.198928, 0.398901, 0.63422, 0.172643, 0.609863, 0.241534, 0.301395, 0.348387, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0355527, -0.00235693, 0.0302256, 0.0874799, 0, -0.0031276, 0.079428, -0.00301407, 0.0932068, 0.0219163, 0, 0.0657832, 0.092504, 0.0596232, 0, 0.126824, 0.0742691, 0.0703392, 0, 0.110494, 0.0712627, 0.0485893, 0.0220016, 0.0710337, 0.0640783, 0.0431504, 0.218294, 0.236208, 0.0477783, -0.00606187, 0.0403541, 0.0802158, 0.0855805, 0.0947044, 0.0740404, -0.00309122, 0.0190979, -0.00650705, 0.0360071, 0.0480473, 0.0427068, 0.0706081, 0.165078, 0.0686533, 0.140731, 0.144993, 0.0265843, 0.0935489, 0.0811925, 0.187531, 0.0276794, 0.140667, 0.022533, 0.0951919, 0.104571, 0.064432, 0.0785992, 0.0510702, 0.0753544, 0.0806452, 0.161421, 0.0551559, 0.0952505, 0, 0.236573, 0.0801263, 0.0727457, 0.0762167, 0.0720169, 0.0533532, 0.111799, 0.141828, 0.0940171, 0.299194, 0.233693, 0.276202, 0.196626, 0.119789, 0.164211, 0.429352, 0.165696, 0.103805, 0.157391, 0.167241, 0.135967, 0.280888, 0.222114, 0.318118, 0.258114, 0.250583, 0.132736, 0.395911, 0.117706, 0.4375, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0.063197, 0.0336345, 0.0568505, 0.0789474, 0.11287, 0.0559515, 0.0627207, 0.0207977, 0.017934, 0, 0.0239114, 0.0300093, 0.0818202, 0.0463185, 0.085537, 0.0225594, 0.0914397, -0.00332479, 0.0862373, 0.117397, 0.213187, 0.197546, -0.00276405, 0.0623826, 0.14236, 0.0676041, 0.140336, 0.0824887, 0.0436047, 0.0667211, 0.0416833, 0.0445507, 0.0246589, 0.0582642, 0, 0, 0.108683, 0.0431953, 0.0505415, 0.139474, 0.047433, 0.072956, 0.10097, 0.0273158, 0.0310078, 0.0828054, 0.052693, 0.0265625, 0.138848, 0.138889, 0.104916, 0.136364, 0.0986561, 0.029717, 0.111177, 0.0646507, 0.053888, 0.0534636, 0.0786222, 0.0730149, 0.164709, 0.128727, 0.0389177, 0.116633, 0.312651, 0.0264885, 0.155495, 0.21933, 0.025208, 0.269231, 0.112862, 0.254726, 0.229911, 0.121148, 0.167255, 0.205024, 0.166867, 0.0619796, 0.101098, 0.242848, 0.0877053, 0.129846, 0.46473, 0.202727, 0.434303, 0.228075, 0.125704, 0.214102, 0.274599, 0.169753, 0.346983, 0.258025, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0.050071, 0.0714286, 0.0982647, 0.0434546, 0.0885818, 0.0318021, -0.00271331, 0.0725985, 0.0466561, 0.103929, 0.046898, 0.100685, 0.0222605, 0.0506397, 0.0952615, 0.0665856, 0.0533083, 0.0204989, 0.0271334, 0.0792329, 0.0814984, 0.116364, -0.00271726, 0.0491397, 0.0915751, 0.132619, 0.02653, 0.0762891, 0.0614379, 0.0504909, -0.00257416, 0.0593522, 0.0272091, 0.0245578, 0.0280066, 0.0483871, -0.00311435, 0.0261124, 0.0298611, 0.129132, 0.0391208, 0.08304, 0.047826, 0.0860294, -0.00621356, 0.124902, 0.0428571, -0.00587678, 0.0893212, 0, 0.10988, 0.240523, 0.14204, 0.199226, 0.0716358, 0.0562653, 0.125719, 0.0243217, 0.225771, 0.0457278, 0.123332, 0.0682535, 0.0239047, 0.0530997, 0.0651678, 0.198239, 0.124696, 0.0576923, 0.134137, 0.119025, 0.0854928, 0.176441, 0.21933, 0.203904, 0.196629, 0.160649, 0.167681, 0.19732, 0.152128, 0.187371, 0.234159, 0.175295, 0.242142, 0.151261, 0.324366, 0.241926, 0.235455, 0.343902, 0.272748, 0.272548, 0.307077, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0.0502661, 0, 0.113873, 0.0938893, 0.0761538, 0.0295714, 0, 0.049635, 0.0173835, 0.0799745, 0.0741902, 0.055412, 0.0282132, 0.106856, -0.00440726, -0.00555563, 0.0308356, 0.125022, 0.106111, 0.0234788, 0.0742258, 0.0801909, 0.0409673, 0.118171, 0.112763, 0.0777311, 0.0509091, 0.134111, -0.00372241, 0.0288984, 0.023955, -0.00234391, 0.0423849, 0, 0, 0.0661064, 0.059108, 0.0589007, 0.107143, -0.00576282, 0.0266147, 0.067747, 0.0248568, 0.029966, 0.0625798, 0.203521, 0.0256921, 0.0589198, 0.0725479, 0.106602, 0.0546474, -0.00211927, 0.108, 0, 0.108717, 0.0835977, 0.113871, 0.169696, 0.0637255, 0.149831, 0.0520888, 0.0701207, 0.137831, 0.0457261, 0.0205651, 0.164428, 0.113553, 0.0697409, 0.101934, 0.15047, 0.0717094, 0.114589, 0.126133, 0.188068, 0.0785733, 0.156653, 0.146721, 0.144649, 0.142049, 0.307927, 0.0833607, 0.188846, 0.212598, 0.18117, 0.170907, 0.085968, 0.2725, 0.155712, 0.145455, 0.152, 0.6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0.0622805, 0.0961861, 0.0663772, 0.0662806, 0.0760901, 0.0917897, 0.0199491, 0.0533333, 0.135556, 0.109479, 0.100126, 0.0813107, 0.0648053, 0.0495651, 0.0220184, -0.00252682, 0.100694, 0.0417234, 0.0257003, 0.142633, 0.0981944, 0, 0.085276, 0.0219366, 0.193583, 0.129263, 0.0904045, 0.208333, -0.00219801, 0.0358911, -0.00532718, 0, 0, 0.0808088, 0, 0.0299652, 0.0547086, 0.0296296, 0.0171654, 0.0880608, 0.0667388, 0.032107, -0.00248565, 0.0175576, 0, 0.0509054, 0.0371876, 0.0246781, 0.055993, 0.0231384, 0.0235056, 0.0763593, 0.0745423, 0.0737374, 0.186364, 0.030757, 0.037371, 0.0395492, 0.0282051, 0.0615913, 0.135702, 0, 0.0659449, 0.0943796, 0.0408021, 0.136067, 0.0544218, 0.0974838, 0.0911172, 0.0860991, 0.109127, 0.0883407, 0.0161473, 0.0738425, 0.092372, 0.132488, 0.111291, 0.104064, 0.16807, 0.147619, 0.118294, 0.355319, 0.0800935, 0.183622, 0.199111, 0.130909, 0.182316, 0.347982, 0.0856481, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0.0747664, 0.0814536, 0.170787, 0.0213379, 0.0666245, 0.0845598, 0.025431, 0.0986717, 0.124211, 0.207946, 0.0527005, 0.0703422, 0.026805, 0.0590019, 0.0644208, 0, 0.14918, 0.0957781, 0.117076, 0.159273, 0.0833208, 0.210837, 0.123164, 0.135939, 0.0879624, 0.050899, 0.140193, 0.0964158, 0.102884, 0.0423803, 0.0266396, -0.00235301, 0.0660223, 0.0670582, -0.00305304, 0.0869294, 0.0254075, 0.0446773, 0.0724218, 0.0257778, 0.0227671, 0.0198235, 0.0578539, 0.185053, 0.0261935, 0.0579125, 0.0209596, 0.0250038, -0.00340726, 0.0549484, -0.00282825, 0.0364469, 0.126574, 0.0308401, 0.0872477, 0.0999122, 0.0854849, 0.0446588, 0.0188433, 0.116548, 0.0553939, 0.0760135, 0.11078, 0.06048, 0.112053, 0.0680617, 0.0737171, 0.126159, 0.173573, 0.287527, 0.169733, 0.091558, 0.170772, 0, 0.111406, 0.320243, 0.104593, 0.281933, 0.393693, 0.0900147, 0.167227, 0.049948, 0.0811064, 0.106619, 0.277433, 0.135892, 0.221881, 0.285714, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0.213, 0.070868, 0.225396, 0.106659, 0.0835177, 0.10757, 0.0604159, 0.0942383, 0.0805445, 0.0727064, 0.0938215, 0.0641703, 0.0234393, 0.0798972, 0.0771451, 0.092902, 0.0823621, 0.0930341, 0.124058, 0.0912611, 0.187348, 0.242355, 0.157761, 0.126957, 0.105325, 0.0254943, 0.238719, 0.055, -0.00665104, 0.0966632, 0.0716341, -0.00558085, 0, 0, 0.02152, 0.0165833, 0.0833263, 0.0977094, 0.0248587, 0.0538415, 0.0402683, 0, 0.0787871, 0.0413644, 0, 0.0897465, 0.023504, 0.116667, 0.116589, 0.0715376, 0.028189, 0.0267555, 0.0253649, 0.0742049, 0.0466643, 0.0788314, 0.0705225, 0.0881595, 0.0523115, 0.0558361, 0.155636, 0.0906996, 0.0987937, 0.0977678, 0.0855367, 0.0453024, 0.0216821, 0.119786, 0.0458215, 0.0497247, 0.181992, 0.0825688, 0.107317, 0.124667, 0.149178, 0.17287, 0.130031, 0.155873, 0.127175, 0.0231693, 0.176421, 0.162356, 0.183921, 0.0958437, 0.272967, 0.194872, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0.0837359, 0.11453, -0.00647257, 0.139834, 0.0481322, 0.125, 0.0931339, 0.107245, 0.0511878, 0.255011, 0.0424242, 0.12612, 0.0680408, 0.110723, 0.0717557, 0, 0.13609, 0.0488795, 0.19112, 0.0957661, 0.144539, 0.0190978, 0.200859, 0.0475218, 0.218559, 0.0498708, 0.112113, 0.19004, 0.0804358, 0.025728, 0.0413355, 0.0251517, -0.00204278, 0.058642, 0.0313043, 0.0883789, 0.049288, 0.0566057, 0.0261739, 0.0219819, 0.0294561, 0.0664885, 0.0226013, 0.0594717, 0.064608, 0.0771421, 0.0488599, 0, 0.105668, 0.0335718, 0.0911533, 0.0779617, 0, 0.0847384, 0.0443057, 0.0453126, 0.0288462, 0.0816038, 0.135199, 0.1849, 0.071086, 0.0485922, 0.0236634, 0.0207764, 0.182699, 0.0941923, 0.0617434, 0.0540541, 0.152701, 0.0495198, 0.102935, 0.0946356, 0.117938, 0.127822, 0.0981175, 0.0267241, 0.109075, 0.131925, 0.171387, 0.120755, 0.0665937, 0.215092, 0.295999, 0.207645, 0.3348, 0.0555556, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0.21542, 0.0701754, 0.0489071, 0.0641534, 0.156349, 0.0262168, 0.125557, 0.167694, 0.0886183, 0.115112, 0.0523408, 0.205196, 0.131634, 0.0883074, 0.0258019, 0.0586764, 0.104761, 0.139969, 0.0556607, 0.381255, 0.171278, 0.292015, 0.0883696, 0.163478, 0.160925, 0.222222, 0.157762, 0.0882841, 0.126485, 0.0572327, 0.0482744, 0, 0.0492505, 0.0522551, -0.00315919, 0.0441961, 0.0279248, 0.0624617, 0, 0.0477329, 0.094626, 0.0690586, 0.0654681, 0.0535896, 0.0533588, 0.0517027, 0.0411647, 0.0536359, 0.0636232, -0.00211498, 0.029288, 0.0246695, 0.139683, -0.00294258, 0.0923418, 0.102597, 0.163828, 0.024903, 0.0778408, 0.04856, 0.0619651, 0.0833561, 0.0893162, 0.0591482, 0.071498, 0.0541088, 0.123001, 0.164446, 0.103612, 0.126703, 0.0835847, 0.116797, 0.133229, 0.0969419, 0.0470588, 0.0529786, 0.172909, 0.0878788, 0.0956522, 0.224359, 0.150316, 0.0929617, 0.0682068, 0.276256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0.0477196, 0.112319, 0.0619926, 0.0245441, 0.175388, 0.0879808, 0.0681818, 0.0914158, 0.175518, 0.128016, 0.0963245, 0.15961, 0.0266594, 0.0795364, 0.0585091, 0.0835744, 0.149056, 0.117985, 0.126366, 0.143563, 0.165126, 0.0553247, 0.0953018, 0.0554358, 0.0540802, 0.0781203, 0.152524, 0.150995, 0.125376, 0.0793007, 0.0844954, 0.171511, 0.0297879, 0.0438032, 0.0229747, -0.00293068, 0.0225654, 0.0535681, 0.0512069, -0.00269176, 0.0531791, 0.0241418, 0.0286739, 0.0499325, 0.0198165, 0.0469217, 0.0784205, 0.0495986, 0.0254716, 0.101316, 0.0623603, 0.10928, 0.150849, 0.0311841, 0.0473882, 0.116374, 0.0331695, 0.133933, 0.0654241, 0.0708353, 0.117738, 0.113612, 0.0246138, 0.0657201, 0.108776, 0.0514881, 0.102832, 0.0670085, 0.0858272, 0.142167, 0.0203301, 0.160342, 0.2, 0.047619, 0.0934244, 0.194444, 0.185206, 0.0255447, 0.0959689, 0.158289, 0.0774583, 0.351853, 0.0615764, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0.219048, 0.182918, 0.183402, 0.100213, 0, 0.179995, 0.151894, 0.141218, 0.0264275, 0.0822237, 0.0603484, 0.138355, 0.156201, 0.0661499, 0.156863, 0.119573, 0.135836, 0.137922, 0.0792282, 0.0648558, 0.137314, 0.127611, 0.0501031, 0.0940887, 0.121904, 0.0367848, 0.0709571, 0.108968, 0.0862146, 0.0424852, 0.0976943, -0.00242398, 0, 0, -0.0079822, 0.0377364, 0.0314685, 0.0654485, 0.0188427, 0.0771102, 0.0438935, 0.0245922, 0.102301, 0.0272534, 0.0623256, 0.0218347, 0.0356179, 0.0647321, 0.0189766, -0.00198738, 0.0944444, 0.0297721, 0.087846, 0.0446837, -0.00636282, 0.0291057, 0.0525836, 0.120988, 0.156879, 0.137793, 0.193136, 0, 0.0182556, 0.0851365, 0.0497854, 0.089845, 0.123741, 0.115234, 0.0912744, 0.0517241, 0.0708731, 0.0942023, 0.156687, 0.0580621, 0.0633658, 0.146628, 0.13852, 0.267981, 0.102899, 0.356248, 0.152564, 0.507692, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0.0445585, 0.063141, 0.115966, 0.0918238, 0.0702239, 0.148027, 0.141299, 0.39139, 0.125614, 0.198594, 0.18595, 0.0881785, 0.188127, 0.148595, 0.102802, 0.227671, 0.213064, 0.26149, 0.142751, 0.277838, 0.0931389, 0.136041, 0.0822157, 0.0671695, 0.182857, 0.124335, 0.14462, 0.0306707, 0.119217, 0.100675, 0.0501567, 0.0292294, 0, 0.0543346, 0.0333519, 0, -0.00420017, 0.115385, 0.0452525, 0.0755437, 0.0768833, 0.113502, -0.00707894, 0.138281, 0.0588974, 0.0196776, 0.0516664, 0.024728, -0.00189728, 0.0286129, 0.0584308, 0.0760456, 0.0304247, 0.0714859, 0.0210595, 0.0485899, 0.0222931, 0.0647434, 0.0560267, 0.046343, 0.150877, 0.0270234, 0.0953573, 0.0186319, -0.00246102, 0.257637, 0.161044, 0.0302479, 0.0942746, 0.124784, 0.0221824, 0.0237905, 0.0997215, 0.139847, 0.148436, 0.0666572, 0.0227237, 0.0377392, 0.102509, 0.145588, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0.188406, 0.0909763, 0.020483, 0.0672329, 0.1221, 0.117969, 0.0788406, 0.112154, 0.144454, 0.0250818, 0.0934426, 0.0496353, 0.073635, 0.0882353, 0.175707, 0.143501, 0.175154, 0.101348, 0.11038, 0.0747703, 0.108512, 0.0696422, 0.0962014, 0.13769, 0.0231466, 0.161157, 0.0204017, 0.0997567, 0.304373, 0.101856, 0.100119, 0.0568869, 0.130694, -0.00452133, -0.00435872, -0.0051114, 0.0326762, 0.0495282, 0.0825133, 0.0288692, 0.0415293, 0.067133, 0, 0.0573891, 0.0295161, 0.0622032, 0.0576121, 0.0970535, 0.0312235, 0.0546192, 0.0182246, 0.13529, 0.0450917, 0.0430324, 0.0774399, 0.0912738, 0.0200657, -0.00864701, 0.0258533, 0.018987, 0.0621622, 0.0342005, 0.201762, 0.0201417, 0.054577, 0.144875, 0.0344296, 0.128852, 0.173884, 0.0785714, 0.0947752, 0.0427766, 0.135052, 0.105983, 0.109216, 0.0279378, 0.0643774, 0, 0.0637061, 0.0506292, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0.152958, 0.109694, 0.103305, 0.0688995, 0.179004, 0.482444, 0.10757, 0.199266, 0.0613516, 0.178571, 0.21025, 0.176332, 0.0530071, 0.0577598, 0.148936, 0.0788328, 0.173228, 0.272134, 0.151177, 0.207605, 0.0932915, 0.143609, 0.112498, 0.159611, 0.126606, 0.117015, 0.11528, 0.216645, 0.188765, 0.195519, -0.00244359, 0.0501752, 0.0211397, 0.114316, 0.062985, 0.0313831, 0, 0.020129, 0.0516549, -0.0029851, 0.0249521, 0.130539, 0.0253964, 0.036051, 0.202268, 0.0710809, 0.037495, 0.0254547, 0.10544, 0.112161, 0.0261578, 0.0567909, 0.0337016, 0.0867583, 0.0548052, 0.0537501, 0.0468627, 0.0578437, 0.0893791, 0.0487529, 0.0367232, 0.0206677, 0.141212, 0.0798206, -0.00758359, 0.202146, 0.114639, 0.0886747, 0.0830371, 0, 0.0247355, 0.0565162, 0.0598021, 0.134874, 0.106865, 0.0778765, 0.0958678, 0.111111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0.0607639, 0.27771, 0.28437, 0.301764, 0.177485, 0.157493, 0.124845, 0.224817, 0.0901132, 0.25617, 0.110683, 0.123918, 0.221951, 0.170127, 0.0427169, 0.138776, 0.305367, 0.114531, 0.236433, 0.165651, 0.050516, 0.162199, 0.3286, 0.156142, 0.183992, 0.0795251, 0.28794, 0.199395, 0.107511, 0.13474, 0.136808, 0.0191865, 0.146392, 0.0302914, -0.0045825, 0.0265865, 0.0266351, 0.0225736, 0, 0.0661678, -0.00274048, 0.0240602, 0.097873, 0.0256056, -0.00233596, 0.0196498, 0.0437703, 0.0270724, 0.078183, 0.114044, 0.028272, 0.107092, 0.0631551, 0.195566, 0.0304527, 0.0587755, 0.0264129, 0.110204, 0.0329893, 0.0336909, 0.0285315, 0.0957326, 0.0668565, 0.0937982, 0.0220503, 0.076261, 0.20115, 0.0244678, 0.0677589, 0.0569007, 0.101285, 0.0294567, 0.136344, 0.201642, 0, 0.166667, 0.175532, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0.162121, 0.110201, 0.14853, 0, 0.279614, 0.131386, 0.20161, 0.0477435, 0.0542303, 0.11605, 0.198283, 0.186473, 0.182147, 0.0504242, 0.291849, 0.272229, 0.283024, 0.0762082, 0.132853, 0.152489, 0.157902, 0.116633, 0.170309, 0.143993, 0.175574, 0.100893, 0.061769, 0.177093, 0.160262, 0.219598, 0.137388, 0.100343, 0.0593102, 0, 0, 0.021556, -0.00249614, 0.0516878, -0.00289085, 0.0871063, 0.0417899, 0.0614688, 0.0189103, 0.0633922, 0.0537736, 0.126706, 0.0662177, 0.0605596, 0.0718487, 0.0541284, 0.0421691, 0.0629536, 0.0631226, 0.0891354, 0.148378, 0.0644012, 0.0773567, 0.148413, 0.0232027, 0.158723, 0.0855632, 0.104885, -0.00266631, 0.124284, 0.233048, 0.10891, 0.0218791, 0.0790141, 0.0564292, 0.14742, 0.0331284, 0.198095, 0, 0.0841667, 0.0486345, 0.148148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0.149139, 0.444652, 0.189375, 0.297935, 0.0777632, 0.226263, 0.193609, 0.146667, 0.104033, 0.211089, 0.200286, 0.149827, 0.110179, 0.201651, 0.111107, 0.0764874, 0.217856, 0.285714, 0.182745, 0.115032, 0.140374, 0.126222, 0.119321, 0.194136, 0.189236, 0.22912, 0.231492, 0.241497, 0.197232, 0.0753993, 0.134586, 0.127675, 0.148186, -0.00454794, 0.0308869, 0.0238576, 0.021324, 0.036867, 0.0210957, 0.0991162, 0.0203661, 0.0429402, 0, 0.0610958, 0.0217681, -0.00443918, 0.081112, 0.104598, 0.0779469, 0.0713215, 0, 0.0575933, 0.0231868, -0.00237134, 0.076285, 0.088716, 0.0294349, 0.0247967, 0.0786989, 0.0348485, 0.0895522, 0.0904097, 0.0697959, 0.0760831, 0.156211, 0.141998, 0.243902, 0.0939664, 0.119964, 0.0892365, -0.00318112, 0.0697216, 0.0726479, 0.238636, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0.104174, 0.0442355, 0.116362, 0.067832, 0.203275, 0.027052, 0.144896, 0.127202, 0.182807, 0.0921876, 0.262326, 0.119192, 0.221468, 0.104118, 0.195099, 0.0991114, 0.122975, 0.166569, 0.0421401, 0.239456, 0.16708, 0.174679, 0.071763, 0.131648, 0.134477, 0.175739, 0.299721, 0.278836, 0.195038, 0.216934, 0.248489, -0.00194124, 0.0340709, 0.0494546, 0, -0.00310317, 0, 0.0206552, 0.0342005, -0.00420028, -0.00142178, 0.0852893, 0.0651483, 0.115568, 0.0472664, 0.15961, 0.0758755, 0.0773132, 0.0249478, 0.0566132, 0.0408183, 0.05, 0.0200351, 0.0176869, 0.0230769, 0.0237515, 0.0389648, 0.0984235, 0.193217, 0.0264446, 0.0977779, 0.107831, 0.0732794, 0.0868166, 0.106968, 0.0492109, 0.134261, 0.0875806, 0.0464811, 0.0638112, 0.175931, 0.0791112, 0.205357, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.4, 0.191273, 0.123616, 0.067411, 0.113497, 0.157228, 0.316974, 0.0994244, 0.190045, 0.258767, 0.0942886, 0.230355, 0.277664, 0.215469, 0.125678, 0.217899, 0.233529, 0.145541, 0.339583, 0.247356, 0.102102, 0.197368, 0.0548728, 0.233628, 0.277872, 0.299949, 0.150463, 0.208654, 0.12149, 0.208107, 0.158047, 0.118613, 0.04949, 0.0756172, 0, 0.037234, 0.0132611, -0.0087917, 0.0214553, -0.00306515, 0.0253133, 0, 0.0249885, -0.00209338, 0.104819, 0.0551681, 0.129194, -0.00304935, 0.119111, 0.0697198, 0.0535915, 0.0866254, -0.00438662, 0.0264253, 0.0240564, 0.0987198, 0.0438333, 0.0283656, 0, 0.06005, 0.0660173, 0.0641026, 0.104182, 0.082697, -0.00894095, 0.0502725, 0.0741986, 0.0873591, 0.070034, 0.0591043, 0.0355969, 0.0762887, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0.299242, 0.157541, 0.185979, 0.121469, 0.129179, 0.0839833, 0.122873, 0, 0.178154, 0.129538, 0.482598, 0.128441, 0.143478, 0.103677, 0.161947, 0.235624, 0.225076, 0.179504, 0.160799, 0.157224, 0.233879, 0.241194, 0.44539, 0.139068, 0.277617, 0.279003, 0.242296, 0.147118, 0.23937, 0.205307, 0.0853455, 0.0277186, 0, 0, 0.0615491, -0.00254386, 0.0269807, 0.0226845, -0.0021187, -0.00287135, -0.00295996, 0.029145, 0.0583965, -0.00261387, 0.0736268, 0.1125, 0.0507627, 0.139078, 0.0299175, 0.0474086, 0.0702509, 0.0312733, 0.034488, 0.0573585, 0.0714161, 0.0637686, 0.0752656, 0.0329538, 0.133031, 0.0713359, 0.0432811, 0.0719579, 0.13388, 0.187984, 0.0702797, 0.065723, 0.047523, 0.164531, 0.146837, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.15625, 0.197719, 0.0506566, 0.242197, 0.276394, 0.0782118, 0.428522, 0.0205793, 0.197203, 0.121398, 0.302881, 0.239684, 0.160305, 0.142946, 0.182825, 0.20401, 0.236874, 0.0895275, 0.291645, 0.193226, 0.131413, 0.148457, 0.262438, 0.24267, 0.224724, 0.27389, 0.158706, 0.273412, 0.207818, 0.199688, 0.138387, 0.111381, 0.0439691, 0.0291878, 0.0209378, 0.0176615, 0.0268707, -0.00339521, -0.00920132, -0.00467, 0, -0.00372327, 0.0926616, -0.00317055, 0.0481362, 0.130743, 0.134743, 0.0397554, 0.188559, 0.156349, 0.0900418, 0.116418, 0.0548315, 0.0900141, 0.0949451, 0.0985246, 0.0841383, 0.0578151, 0.105881, 0.151062, 0.0821256, 0.183476, -0.00267685, 0.0435488, 0.103134, 0.100212, 0.0201871, 0.050626, 0.108456, 0.125, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0.092779, 0.120266, 0.155051, 0.0201592, 0.207045, 0.166135, 0.250048, 0.207876, 0.30251, 0.0623716, 0.157707, 0.286988, 0.0928697, 0.0660264, 0.133224, 0.18518, 0.0919199, 0.14388, 0.260797, 0.275504, 0.11582, 0.172153, 0.070729, 0.231923, 0.431204, 0.141666, 0.285797, 0.384278, 0.268918, 0.112362, 0.25855, 0.125736, 0.0435206, 0.0212483, 0.016822, -0.00617535, 0, 0.0408749, -0.00538051, 0.0186577, 0, 0.0388197, 0.0609114, 0.0572951, 0.0830289, 0.0327982, 0.107263, -0.00404228, 0.0926135, 0.163875, 0, 0.0773383, 0.189887, 0.086142, 0.126515, 0.153746, 0.0775906, 0.138889, 0.0985072, 0.153688, 0.0365014, 0.0929464, 0.0202156, 0.0807713, 0.158333, 0.105734, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.0445224, 0.138827, 0.145951, 0.224129, 0.107692, 0.178909, 0.28375, 0.129256, 0.239491, 0.105174, 0.22116, 0.186789, 0.149328, 0.136253, 0.225736, 0.101889, 0.195662, 0.196304, 0.235862, 0.15, 0.235148, 0.170203, 0.158961, 0.177661, 0.17155, 0.247012, 0.392733, 0.617451, 0.262559, 0.0913978, 0.364195, 0.183252, 0.16755, 0.114415, 0.0213883, 0, 0.0207397, -0.00892092, 0.0189555, -0.00208827, -0.00536667, 0.0246796, 0.0243258, 0.127201, 0.102317, 0.0213356, 0.173977, 0.0165839, 0.102555, 0.117814, 0.0811671, 0.0275004, 0.0429713, 0.0760948, 0.0773952, 0.0409007, 0.120155, 0.185964, 0.07203, 0.0254058, 0.118288, 0.0241442, 0.106519, 0.0316176, 0.0230394, 0, 0.142857, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.143478, 0.345106, 0.210436, 0.151306, 0.14848, 0.218074, 0.341236, 0.165919, 0.302512, 0.327867, 0.125234, 0.318133, 0.191837, 0.42362, 0.195218, 0.217574, 0.268037, 0.218344, 0.367607, 0.191281, 0.257687, 0.378543, 0.40893, 0.253885, 0.245963, 0.362893, 0.289201, 0.460848, 0.279064, 0.236815, 0.405503, 0.183146, 0.0970588, 0, 0.0425477, 0.0246305, 0.122856, 0.0797403, 0.124126, -0.00408395, 0.0325698, 0.0530497, 0.0877829, 0.107188, 0.0558126, 0.0261516, 0.0979602, 0.0543455, 0.100623, 0.104383, 0.078635, 0.0899844, 0.0657727, 0.154868, 0.135659, 0.0930586, 0.0541872, 0.0146699, 0.0303801, 0.0480624, 0.0446801, 0.13581, 0.154661, 0, -0.00493041, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.139566, 0.242663, 0.155039, 0.186922, 0.071861, 0.200039, 0.235759, 0.137419, 0.152272, 0.134911, 0.103622, 0.227848, 0.199233, 0.294889, 0.414988, 0.347599, 0.161898, 0.222077, 0.235148, 0.0388581, 0.118862, 0.178541, 0.110257, 0.171748, 0.118156, 0.373029, 0.276232, 0.24566, 0.652943, 0.0686548, 0.229275, 0.288006, 0.348489, 0.0473554, -0.00570498, 0.0846538, -0.00207608, 0.0472525, 0.0541872, -0.00375436, 0.0238693, -0.00703484, 0.0257998, 0.0304082, 0.0646319, -0.00561498, 0.0892531, 0.0601868, 0, 0.0355339, 0.0257107, 0.0244245, 0.106802, 0.0204711, 0.0268343, 0.0852179, 0.127935, 0.102231, 0.168974, -0.00298196, 0.170168, 0.115725, 0.0384788, 0.231405, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.142703, 0.0735412, 0.0551165, 0.137702, 0.165902, 0.0827084, 0.0803773, 0.173702, 0.276492, 0.326312, 0.478329, 0.278123, 0.204623, 0.131884, 0.182281, 0.700917, 0.151306, 0.488029, 0.28136, 0.162493, 0.346442, 0.121063, 0.181113, 0.291149, 0.387093, 0.240504, 0.352107, 0.503083, 0.197379, 0.204302, 0.244522, 0.278879, 0.219097, 0.110088, 0.0818754, -0.00761467, -0.00220663, 0.0309592, 0.0232886, -0.00278165, 0.0673002, 0.0198612, 0.0504385, 0.0513459, 0.0506576, -0.00232405, 0.135159, 0.0770869, 0.204244, 0.0699561, 0.154556, 0.240443, 0.0761814, 0.0421136, 0.0192739, 0.0488192, 0, 0.17543, 0.0817844, 0.154839, 0.0902843, 0.0604839, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.0302931, 0.222646, 0.175147, 0.257836, 0.519078, 0.145809, 0.354882, 0.263777, 0.147797, 0.265058, 0.0696629, 0.369091, 0.132326, 0.139853, 0.232808, 0.199265, 0.192356, 0.465533, 0.293379, 0.265091, 0.386632, 0.12254, 0.240156, 0.232038, 0.318835, 0.25139, 0.322862, 0.181063, 0.334081, 0.632501, 0.28829, 0.276711, 0.138531, 0.0360248, 0.0744485, -0.0153039, 0.0205412, 0.0224907, 0.0542334, 0.02318, -0.00284984, 0.109478, 0.0257062, 0.0405349, 0.070989, 0.0448491, 0.0195648, 0.0332813, 0.0460285, 0.143409, 0.0740143, 0.123718, 0.111757, 0.172348, 0.0659234, 0.0249314, 0.131112, 0.0701814, 0.22917, 0.0424047, 0.242857, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.129476, 0.111841, 0.255687, 0.546694, 0.144863, 0.0821176, 0.252466, 0.299239, 0.309084, 0.14893, 0.254778, 0.389887, 0.320831, 0.170985, 0.469816, 0.385885, 0.181236, 0.371848, 0.228767, 0.14993, 0.237992, 0.393872, 0.148485, 0.20784, 0.363636, 0.493316, 0.302427, 0.384875, 0.559498, 0.334163, 0.214723, 0.252004, 0.152066, 0.0639731, 0.0962669, 0, 0.0740348, -0.00821864, -0.00331177, 0.0190158, 0.0481807, 0.0645892, 0.126841, 0.0456435, 0.0278393, 0.0196865, 0.106597, 0.0450515, 0.0489016, 0.0228762, 0.057737, 0.0822335, 0.0560439, 0.0968825, 0.0451708, 0.0680476, 0.132624, 0.0843666, 0.0480769, 0.0648755, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.138171, 0.114478, 0.073945, 0.165242, 0.072687, 0.199606, 0.178333, 0.104026, 0.203925, 0.127687, 0.213733, 0.226954, 0.255569, 0.227078, 0.543783, 0.276341, 0.201973, 0.238179, 0.228257, 0.346979, 0.301551, 0.200856, 0.422921, 0.216815, 0.437117, 0.318778, 0.280472, 0.338532, 0.410065, 0.679334, 0.220146, 0.336472, 0.0877861, 0.0233049, 0, 0, -0.00428046, 0.0218034, 0.0681193, 0.0640875, 0.0855867, 0.0582976, 0.0626293, 0.0949209, 0.121746, 0.0538226, 0.0997241, 0.1824, 0.07016, 0.0959028, 0.138584, 0.0246435, 0.112642, 0.1, 0.154387, 0.19883, 0.182736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.148334, 0.254664, 0.0597351, 0.262317, 0.323481, 0.292852, 0.327808, 0.164325, 0.354627, 0.310923, 0.117095, 0.197038, 0.471336, 0.288326, 0.170562, 0.206642, 0.135385, 0.348617, 0.305491, 0.289449, 0.252717, 0.311216, 0.227128, 0.213501, 0.370199, 0.415758, 0.27795, 0.276108, 0.356574, 0.526051, 0.471417, 0.640747, 0.207248, 0.0761271, 0.0254491, 0.0225612, 0.0609427, -0.00234906, -0.00171841, 0.0290476, 0.031908, 0.0586017, 0.100138, 0.0246479, 0.0302318, 0.0759717, 0.141584, 0, 0.0199812, 0.0666067, 0.118493, 0.049339, 0.296347, 0.149732, 0.0809717, 0.0797203, 0.0582405, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.188601, 0.238095, 0.195072, 0.183201, 0.2646, 0.310066, 0.060912, 0.167021, 0.401853, 0.16068, 0.437956, 0.301452, 0.333484, 0.0928256, 0.166786, 0.223412, 0.309616, 0.11432, 0.388614, 0.343577, 0.0866333, 0.453739, 0.48631, 0.464916, 0.244097, 0.192135, 0.207225, 0.515785, 0.451395, 0.537029, 0.292003, 0.31216, 0.177805, 0.0991513, 0.147644, -0.00689797, 0.0256853, -0.00416241, 0.0405026, -0.00629348, 0.0421946, 0.0257868, 0.00660713, -0.00237819, 0, 0.0893321, 0.0761241, 0.122115, 0.0895, 0.17219, 0, 0.0877922, 0.102594, 0.0490591, 0.128571, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.12749, 0.190161, 0.129098, 0.156319, 0.159342, 0.246753, 0.340812, 0.144634, 0.186972, 0.137717, 0.161752, 0.332999, 0.122645, 0.33306, 0.458388, 0.251644, 0.21522, 0.246642, 0.366074, 0.363565, 0.192172, 0.314192, 0.387885, 0.347422, 0.371302, 0.38755, 0.473191, 0.495716, 0.846484, 0.470972, 0.321503, 0.327018, 0.125076, 0.0525946, 0.0262758, 0.0243173, -0.00238341, 0.0260771, 0.0513481, 0.0308422, 0.102371, 0.03903, 0.0225594, 0.120148, 0.0939797, 0.0272163, 0.0723477, 0.0289484, 0.0538983, -0.00592722, 0.0212314, 0.21113, -0.0199533, 0.222222, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.155155, 0.354112, 0.168519, 0.208616, 0.0991868, 0.48995, 0.25703, 0.192168, 0.261132, 0.131033, 0.12603, 0.250632, 0.243064, 0.310474, 0.287779, 0.174521, 0.155916, 0.295652, 0.38353, 0.220295, 0.496087, 0.365636, 0.396823, 0.712283, 0.274717, 0.306539, 0.383714, 0.672346, 0.263898, 0.614329, 0.393011, 0.424272, 0.454389, 0.080719, 0.193043, 0.0269401, 0.0385965, 0.0210833, 0.0172473, 0.0270031, 0.0257564, 0.024999, 0.0276662, 0.0394412, 0.0578838, 0.0306859, 0.145253, 0.0809232, 0.0234694, 0.0830796, 0.0785947, 0.232877, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.122282, 0.318541, 0.260442, 0.339534, 0.100064, 0.258272, 0.0385286, 0.236543, 0.427416, 0.144254, 0.235366, 0.324159, 0.12105, 0.52973, 0.162883, 0.280314, 0.337572, 0.164585, 0.415356, 0.348852, 0.302205, 0.342469, 0.499744, 0.199828, 0.275568, 0.495394, 0.323406, 0.403572, 0.361448, 0.776958, 0.567251, 0.215684, 0.340075, 0.123938, 0.0179556, 0.0661542, 0.0203982, 0.0314573, -0.00224742, -0.00684926, 0.0223666, 0, 0.0571491, 0.0715838, 0.0343932, 0.0835264, 0.0332941, 0.0579117, 0.1692, 0.134658, 0.355296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.0298682, 0.379587, 0.140319, 0.190904, 0.197592, 0.145374, 0.216831, 0.439586, 0.21125, 0.238562, 0.142359, 0.142663, 0.34801, 0.338126, 0.203448, 0.101486, 0.328278, 0.188876, 0.480326, 0.395114, 0.307589, 0.314483, 0.156211, 0.313066, 0.191084, 0.45416, 0.41171, 0.435515, 0.704138, 0.65456, 0.554884, 0.350567, 0.251523, 0.126124, 0.0485154, 0.10711, 0.028207, -0.0050622, 0.0419433, -0.0116408, 0.0377796, 0.0485958, 0.14572, 0.0853871, 0.0218786, 0.0251706, 0.119099, 0.126248, 0.0559124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.193281, 0.192541, 0.198579, 0.256754, 0.177188, 0.15304, 0.138747, 0.265872, 0.197292, 0.229024, 0.270224, 0.215012, 0.217609, 0.279964, 0.215221, 0.0745512, 0.464486, 0.207901, 0.186324, 0.171402, 0.295673, 0.363731, 0.227315, 0.418994, 0.164983, 0.295801, 0.407543, 0.269094, 0.606603, 0.577814, 0.555286, 0.753669, 0.223928, 0.0944366, 0.217045, 0.0183663, -0.00581163, -0.00674891, -0.00265533, 0.0257631, 0.0681541, -0.00710596, 0.0929136, 0.0823864, 0.0247706, 0.0683108, 0.0740741, 0.325, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.184465, 0.180396, 0.266701, 0.131869, 0.218087, 0.266012, 0.30949, 0.116481, 0.290536, 0.134668, 0.221788, 0.262649, 0.4377, 0.297038, 0.269628, 0.530783, 0.355981, 0.345729, 0.443881, 0.168109, 0.295349, 0.513639, 0.209053, 0.221952, 0.330321, 0.339368, 0.452822, 0.385624, 0.396942, 0.677531, 0.779698, 0.439717, 0.379324, 0.163829, 0.0205762, 0.0448088, 0.129086, 0.0384895, -0.00270063, 0, -0.00238429, 0.0477771, -0.00307503, 0.0745707, 0.0299643, -0.0115691, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.0833644, 0.231933, 0.130303, 0.0229815, 0.249784, 0.125029, 0.0878665, 0.14963, 0.173682, 0.0974531, 0.244906, 0.216594, 0.354277, 0.291614, 0.187642, 0.239082, 0.212178, 0.155468, 0.193191, 0.126942, 0.196374, 0.122264, 0.231297, 0.466901, 0.320894, 0.420017, 0.900189, 0.728043, 0.442322, 0.38809, 1.10639, 0.641196, 0.396889, 0.138191, 0.260064, 0.0240151, 0.0268199, -0.00609625, 0.0593753, 0.0259497, 0.0502781, 0.0708326, 0.030969, -0.0103709, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.145863, 0.0626112, 0.123566, 0.114487, 0.165819, 0.10877, 0.0848553, 0.275357, 0.246914, 0.245882, 0.23099, 0.218416, 0.175195, 0.310039, 0.116304, 0.264869, 0.448561, 0.0960676, 0.209091, 0.478228, 0.233528, 0.132353, 0.280609, 0.306974, 0.622425, 0.275521, 0.312564, 0.279378, 0.337731, 0.411075, 0.554017, 0.65241, 0.400428, 0.17132, 0.0871149, 0.0984188, -0.00334286, 0.0465989, 0.0223826, -0.00293242, -0.00737145, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.33661, 0.204239, 0.182953, 0.162379, 0.327551, 0.349357, 0.393463, 0.227455, 0.158148, 0.24834, 0.227295, 0.0528185, 0.297114, 0.138009, 0.296883, 0.127622, 0.625141, 0.166506, 0.259499, 0.246172, 0.166714, 0.305002, 0.321776, 0.600886, 0.338073, 0.424973, 0.370657, 0.437036, 0.560042, 0.508626, 1.20457, 0.757598, 0.39791, 0.19, 0.193929, 0.0575711, 0.0280163, -0.00299077, -0.00354228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.100713, 0.210384, 0.121952, 0.263701, 0.182904, 0.315103, 0.0893429, 0.193206, 0.611708, 0.267632, 0.284698, 0.142803, 0.107899, 0.285106, 0.314789, 0.189412, 0.269774, 0.269101, 0.37426, 0.156693, 0.276428, 0.331628, 0.54991, 0.440546, 0.639088, 0.314302, 0.535358, 0.69854, 0.455184, 0.772006, 0.460039, 0.482462, 0.594523, 0.319681, 0.0708168, 0, 0.0285307, 0.0771502, 0.0947682, -0.00990242, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.0696078, 0.174769, 0.314459, 0.108403, 0.176962, 0.108541, 0.0957473, 0.201109, 0.297998, 0.167944, 0.20644, 0.268082, 0.261956, 0.100602, 0.288936, 0.160187, 0.177416, 0.266335, 0.256684, 0.282561, 0.195678, 0.297713, 0.573448, 0.435859, 0.534334, 0.268258, 0.518642, 0.5235, 0.561372, 1.20945, 0.535348, 0.600907, 0.468855, 0.24, 0.0842441, 0.0275946, 0.0625185, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.0780914, 0.232143, 0.20502, 0.222366, 0.046934, 0.303408, 0.158359, 0.171572, 0.180941, 0.185539, 0.180379, 0.0781135, 0.206031, 0.162451, 0.325228, 0.215734, 0.0666009, 0.241305, 0.339466, 0.239982, 0.288854, 0.250562, 0.356995, 0.190211, 0.405246, 0.632851, 0.297955, 0.617092, 0.624495, 0.719039, 0.848691, 0.412258, 0.565394, 0.776, 0.0737317, 0.0377533, 0.0946101, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0.102456, 0.212121, 0.221771, 0.168742, 0.131061, 0.198473, 0.140361, 0.33209, 0.116438, 0.352978, 0.30809, 0.161014, 0.423077, 0.118752, 0.425641, 0.261177, 0.243151, 0.187267, 0.397922, 0.111691, 0.306255, 0.261701, 0.333868, 0.326001, 0.342286, 0.273508, 0.204462, 0.654135, 0.677089, 0.675574, 0.990916, 0.626848, 0.146396, 0.441166, 0.113099, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0.113852, 0.109953, 0.113214, 0.176895, 0.305556, 0.0636298, 0.187587, 0.113278, 0.154453, 0.194832, 0.315923, 0.160131, 0.205412, 0.294165, 0.184333, 0.195598, 0.255339, 0.155818, 0.328866, 0.216539, 0.178295, 0.425205, 0.0770397, 0.37862, 0.362661, 0.441418, 0.488665, 0.561906, 0.512069, 0.673881, 0.6358, 0.41958, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0.0295554, 0.115315, 0.0908642, 0.075641, 0.168498, 0.0954309, 0.297705, 0.201058, 0.13468, 0.157982, 0.16168, 0.123249, 0.114184, 0.136363, 0.148725, 0.139944, 0.201996, 0.356115, 0.13177, 0.32536, 0.34988, 0.257974, 0.328935, 0.292517, 0.585775, 0.468728, 0.389736, 0.43956, 0.67444, 0.462769, 2.15138, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0.17, 0.241953, 0.0706459, 0.123993, 0.120097, 0.0900633, 0.0979685, 0.0307271, 0.0586786, 0.158705, 0.169234, 0.0900041, 0.310847, 0.390977, 0.111419, 0.137715, 0.331132, 0.208238, 0.237697, 0.344018, 0.258511, 0.209128, 0.426765, 0.374174, 0.212857, 0.276, 0.28153, 0.767405, 0.565476, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0.0948276, 0.0872684, 0.118455, 0.0602498, 0.133631, 0.0318676, 0.176505, 0.0556955, 0.237419, 0.294627, 0.222727, 0, 0.177463, 0.132882, 0.200331, 0.179457, 0.21071, 0.133736, 0.26779, 0.284636, 0.168884, 0.481944, 0.155522, 0.369231, 0.485033, 0.553398, 0.139785, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0.0695153, 0.259563, 0.246571, 0.174361, 0.0320802, 0.154873, 0.186237, 0.159306, 0.269959, 0.0969962, 0.193352, 0.220307, 0.159912, 0.377207, 0.341954, 0.154844, 0.105903, 0.348628, 0.300781, 0.350365, 0.3634, 0.123291, 0.551724, 0.331276, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0.0544218, 0.119708, 0.11245, 0.0827206, 0.0278884, 0.0784615, 0.144743, 0.16882, 0, 0, 0.233449, 0.10299, 0.0477867, 0.285921, 0.129697, 0.443683, 0.184475, 0.301601, 0.118461, 0.210188, 0.227601, 0.0414673, 0.571429, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0.143229, 0.222689, 0, 0.110526, 0.0537057, 0.3648, 0.116658, 0.495, 0.0514423, 0.121768, 0.125, 0.0901011, 0.118605, 0.103729, 0.214482, 0.311688, 0.155844, 0.0962963, 0.115942, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0.190476, 0.157692, 0.19668, 0, 0.0584046, 0.055091, 0.481967, 0.104327, 0, 0, 0.255447, 0.0696629, 0.105159, 0.121951, 0.134717, 0.101852, 0.612245, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.127451, 0.24569, 0.0911681, 0.0993939, 0, 0, 0, 0.171011, 0.137652, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.0172477, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
};
 
for(int i=0;i<127;i++){
  for (int j=0; j<127; j++) {
     HisPDF[i][j] = HisPDFtmp[i][j];
  }
}
 
}
 
void EvtDtoKpipiPlot::initProbMax(){
        noProbMax();
}
 
void EvtDtoKpipiPlot::decay( EvtParticle *p ){
 
loop:
        p->initializePhaseSpace(getNDaug(),getDaugs());
 
        EvtParticle *id1,*id2,*id3;
        EvtVector4R pd1,pd2,pd3;
        double xmass13,xmass12, xmass23;
 
        id1 =p->getDaug(0); 
        id2 =p->getDaug(1); 
        id3 =p->getDaug(2);
 
        pd1 =id1->getP4Lab();
        pd2 =id2->getP4Lab();
        pd3 =id3->getP4Lab();
 
        xmass12=(pd1+pd2).mass()*(pd1+pd2).mass();  // M_ksopi
        xmass13=(pd1+pd3).mass()*(pd1+pd3).mass();  // M_ksow
//      xmass23=(pd2+pd3).mass()*(pd2+pd3).mass();  // M_piw
 
                int xbin = FindXBin(xmass12);
                int ybin = FindYBin(xmass13);
 
                double xratio12=HisPDF[xbin][ybin]/avm1;
        if(xratio12<=0) goto loop;
 
        double rd12=EvtRandom::Flat(0.0, 1.0); 
        if(rd12>xratio12) goto loop; 
 
        return ;
}
 
int EvtDtoKpipiPlot::FindXBin(double mass2) {
  if (mass2 < Xmin) { return 0; }
  else if (mass2>=Xmax) { return 126; }
  else { return int((mass2-Xmin)/Xwid)+1; }
}
 
int EvtDtoKpipiPlot::FindYBin(double mass2) {
  if (mass2 < Ymin) { return 0; }
  else if (mass2>=Ymax) { return 126; }
  else { return int((mass2-Ymin)/Ywid)+1; }
}