File: splice_site_mem.h

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#ifndef SPLICE_SITE_MEM_H_
#define SPLICE_SITE_MEM_H_

static const float background_bp_prob[4] = {0.27f, 0.23f, 0.23f, 0.27f};
static const float donor_cons1[4] = {0.004f, 0.0032f, 0.9896f, 0.0032f};
static const float donor_cons2[4] = {0.0034f, 0.0039f, 0.0042f, 0.9884f};
static const float acceptor_cons1[4] = {0.9903f, 0.0032f, 0.0034f, 0.0030f};
static const float acceptor_cons2[4] = {0.0027f, 0.0037f, 0.9905f, 0.0030f};

static const float donor_me2x5[16384] = {
0.143596f, 0.204157f, 0.192979f, 1.061763f, 0.231687f, 0.483900f, 0.466345f, 1.279266f, 7.648993f, 10.067296f, 6.140895f, 53.603145f, 0.119893f, 0.098323f, 0.141841f, 0.789030f,
0.017593f, 0.048968f, 0.034133f, 0.188161f, 0.040230f, 0.164498f, 0.116904f, 0.321303f, 1.594035f, 4.107312f, 1.847533f, 16.157861f, 0.022057f, 0.035412f, 0.037672f, 0.209963f,
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0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000021f, 0.000049f, 0.000021f, 0.001558f, 0.000000f, 0.000000f, 0.000000f, 0.000001f,
0.000206f, 0.000206f, 0.000297f, 0.004119f, 0.012421f, 0.018260f, 0.026743f, 0.185166f, 2.932469f, 2.716746f, 2.518379f, 55.485052f, 0.010225f, 0.005902f, 0.012940f, 0.181684f,
0.000008f, 0.000016f, 0.000017f, 0.000240f, 0.000709f, 0.002041f, 0.002204f, 0.015288f, 0.200889f, 0.364354f, 0.249064f, 5.497933f, 0.000618f, 0.000699f, 0.001130f, 0.015893f,
0.000001f, 0.000002f, 0.000001f, 0.000030f, 0.000046f, 0.000132f, 0.000063f, 0.000897f, 0.030909f, 0.056304f, 0.017015f, 0.772980f, 0.000034f, 0.000038f, 0.000027f, 0.000790f,
0.000005f, 0.000009f, 0.000009f, 0.000127f, 0.000242f, 0.000617f, 0.000603f, 0.004296f, 0.067488f, 0.108306f, 0.067021f, 1.519516f, 0.000238f, 0.000238f, 0.000348f, 0.005034f,
0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000002f, 0.000003f, 0.000002f, 0.000061f, 0.003499f, 0.005050f, 0.002092f, 0.180066f, 0.000003f, 0.000002f, 0.000002f, 0.000129f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000050f, 0.000141f, 0.000043f, 0.003708f, 0.000000f, 0.000000f, 0.000000f, 0.000002f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000021f, 0.000059f, 0.000008f, 0.001406f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000039f, 0.000098f, 0.000027f, 0.002394f, 0.000000f, 0.000000f, 0.000000f, 0.000002f,
0.000006f, 0.000013f, 0.000012f, 0.000285f, 0.000369f, 0.001304f, 0.001148f, 0.014132f, 0.311987f, 0.695101f, 0.387547f, 15.177824f, 0.000203f, 0.000282f, 0.000372f, 0.009279f,
0.000000f, 0.000001f, 0.000000f, 0.000010f, 0.000013f, 0.000087f, 0.000057f, 0.000701f, 0.012834f, 0.055981f, 0.023016f, 0.903126f, 0.000007f, 0.000020f, 0.000019f, 0.000487f,
0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000000f, 0.000003f, 0.000001f, 0.000024f, 0.001138f, 0.004985f, 0.000906f, 0.073165f, 0.000000f, 0.000001f, 0.000000f, 0.000014f,
0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000007f, 0.000004f, 0.000053f, 0.001163f, 0.004489f, 0.001671f, 0.067341f, 0.000001f, 0.000002f, 0.000002f, 0.000042f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000124f, 0.000103f, 0.000107f, 0.009368f, 0.000000f, 0.000000f, 0.000000f, 0.000007f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000009f, 0.000015f, 0.000012f, 0.001033f, 0.000000f, 0.000000f, 0.000000f, 0.000001f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000003f, 0.000001f, 0.000202f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000004f, 0.000006f, 0.000004f, 0.000357f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
0.596535f, 0.591870f, 1.054219f, 1.942625f, 0.503271f, 0.733544f, 1.332097f, 1.223855f, 29.205627f, 26.825310f, 30.833405f, 90.140684f, 1.162738f, 0.665446f, 1.808924f, 3.370164f,
0.047141f, 0.091567f, 0.120271f, 0.222050f, 0.056366f, 0.160839f, 0.215386f, 0.198265f, 3.925741f, 7.059129f, 5.983335f, 17.525716f, 0.137973f, 0.154588f, 0.309884f, 0.578446f,
0.021792f, 0.042513f, 0.024687f, 0.093797f, 0.012190f, 0.034935f, 0.020682f, 0.039180f, 2.033900f, 3.673173f, 1.376414f, 8.296937f, 0.025285f, 0.028453f, 0.025215f, 0.096865f,
0.055108f, 0.094714f, 0.112617f, 0.213552f, 0.034994f, 0.088355f, 0.107109f, 0.101265f, 2.397302f, 3.814282f, 2.926669f, 8.804693f, 0.096554f, 0.095722f, 0.173702f, 0.333025f,
0.000749f, 0.001158f, 0.000922f, 0.006636f, 0.000445f, 0.001010f, 0.000820f, 0.002943f, 0.253901f, 0.363304f, 0.186587f, 2.131500f, 0.002213f, 0.001973f, 0.002396f, 0.017444f,
0.000012f, 0.000037f, 0.000022f, 0.000158f, 0.000010f, 0.000046f, 0.000028f, 0.000099f, 0.007092f, 0.019866f, 0.007524f, 0.086115f, 0.000055f, 0.000095f, 0.000085f, 0.000622f,
0.000015f, 0.000047f, 0.000012f, 0.000180f, 0.000006f, 0.000027f, 0.000007f, 0.000053f, 0.009909f, 0.027877f, 0.004668f, 0.109943f, 0.000027f, 0.000047f, 0.000019f, 0.000281f,
0.000034f, 0.000090f, 0.000048f, 0.000354f, 0.000015f, 0.000059f, 0.000032f, 0.000118f, 0.010119f, 0.025082f, 0.008599f, 0.101090f, 0.000089f, 0.000138f, 0.000112f, 0.000837f,
0.025619f, 0.061130f, 0.065488f, 0.214510f, 0.023816f, 0.083479f, 0.091179f, 0.148908f, 4.953470f, 10.941667f, 7.564215f, 39.309171f, 0.036819f, 0.050676f, 0.082854f, 0.274394f,
0.001216f, 0.005679f, 0.004486f, 0.014724f, 0.001602f, 0.010992f, 0.008853f, 0.014486f, 0.399835f, 1.729042f, 0.881458f, 4.589490f, 0.002624f, 0.007069f, 0.008523f, 0.028282f,
0.000324f, 0.001519f, 0.000531f, 0.003584f, 0.000200f, 0.001376f, 0.000490f, 0.001649f, 0.119364f, 0.518419f, 0.116840f, 1.251963f, 0.000277f, 0.000750f, 0.000400f, 0.002729f,
0.000383f, 0.001585f, 0.001133f, 0.003820f, 0.000268f, 0.001629f, 0.001188f, 0.001996f, 0.065873f, 0.252053f, 0.116320f, 0.622053f, 0.000495f, 0.001181f, 0.001289f, 0.004393f,
0.001271f, 0.001129f, 0.002242f, 0.016464f, 0.000064f, 0.000083f, 0.000169f, 0.000617f, 0.145690f, 0.119797f, 0.153592f, 1.789021f, 0.001240f, 0.000635f, 0.001926f, 0.014294f,
0.000112f, 0.000194f, 0.000285f, 0.002095f, 0.000008f, 0.000020f, 0.000030f, 0.000111f, 0.021799f, 0.035091f, 0.033177f, 0.387184f, 0.000164f, 0.000164f, 0.000367f, 0.002731f,
0.000072f, 0.000126f, 0.000081f, 0.001232f, 0.000002f, 0.000006f, 0.000004f, 0.000031f, 0.015726f, 0.025426f, 0.010627f, 0.255235f, 0.000042f, 0.000042f, 0.000042f, 0.000637f,
0.000163f, 0.000251f, 0.000333f, 0.002516f, 0.000006f, 0.000014f, 0.000019f, 0.000071f, 0.016623f, 0.023678f, 0.020265f, 0.242909f, 0.000143f, 0.000127f, 0.000257f, 0.001963f,
0.000648f, 0.001211f, 0.001818f, 0.013123f, 0.005855f, 0.016085f, 0.024620f, 0.088612f, 0.559901f, 0.969306f, 0.939052f, 10.754886f, 0.000717f, 0.000773f, 0.001772f, 0.012935f,
0.000015f, 0.000054f, 0.000060f, 0.000435f, 0.000190f, 0.001022f, 0.001153f, 0.004159f, 0.021803f, 0.073897f, 0.052792f, 0.605784f, 0.000025f, 0.000052f, 0.000088f, 0.000643f,
0.000003f, 0.000013f, 0.000006f, 0.000092f, 0.000021f, 0.000111f, 0.000055f, 0.000410f, 0.005641f, 0.019202f, 0.006065f, 0.143215f, 0.000002f, 0.000005f, 0.000004f, 0.000054f,
0.000021f, 0.000067f, 0.000067f, 0.000496f, 0.000140f, 0.000666f, 0.000680f, 0.002520f, 0.015794f, 0.047364f, 0.030631f, 0.361009f, 0.000020f, 0.000038f, 0.000058f, 0.000439f,
0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000000f, 0.000001f, 0.000001f, 0.000010f, 0.000234f, 0.000632f, 0.000274f, 0.012245f, 0.000000f, 0.000000f, 0.000000f, 0.000003f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000010f, 0.000003f, 0.000143f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000007f, 0.000001f, 0.000091f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000015f, 0.000004f, 0.000200f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
0.000023f, 0.000102f, 0.000092f, 0.001176f, 0.000225f, 0.001486f, 0.001368f, 0.008752f, 0.077084f, 0.320928f, 0.187000f, 3.807040f, 0.000018f, 0.000048f, 0.000066f, 0.000855f,
0.000000f, 0.000003f, 0.000002f, 0.000023f, 0.000004f, 0.000057f, 0.000038f, 0.000247f, 0.001803f, 0.014692f, 0.006313f, 0.128770f, 0.000000f, 0.000002f, 0.000002f, 0.000026f,
0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000000f, 0.000004f, 0.000001f, 0.000014f, 0.000269f, 0.002200f, 0.000418f, 0.017542f, 0.000000f, 0.000000f, 0.000000f, 0.000001f,
0.000000f, 0.000001f, 0.000001f, 0.000007f, 0.000001f, 0.000010f, 0.000006f, 0.000040f, 0.000352f, 0.002541f, 0.000988f, 0.020703f, 0.000000f, 0.000000f, 0.000000f, 0.000005f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000011f, 0.000017f, 0.000018f, 0.000837f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000053f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000000f, 0.000017f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000039f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
};

static const float acceptor_me2x3acc1[16384] = {
0.194114f, 0.254369f, 0.059224f, 0.479611f, 0.184195f, 0.431590f, 0.364757f, 0.677230f, 0.039156f, 0.074210f, 0.046061f, 0.142616f, 0.263375f, 0.540027f, 0.492918f, 0.741151f,
0.196628f, 0.370974f, 0.085338f, 0.772998f, 0.163797f, 0.552574f, 0.461409f, 0.958220f, 0.116240f, 0.317182f, 0.194511f, 0.673638f, 0.250918f, 0.740738f, 0.668017f, 1.123481f,
0.052415f, 0.117194f, 0.024461f, 0.180371f, 0.066584f, 0.266197f, 0.201679f, 0.340960f, 0.037786f, 0.122190f, 0.067988f, 0.191682f, 0.081306f, 0.284450f, 0.232751f, 0.318665f,
0.304223f, 0.440426f, 0.084923f, 0.930491f, 0.255470f, 0.661310f, 0.462862f, 1.162744f, 0.211373f, 0.442572f, 0.227494f, 0.953032f, 0.335322f, 0.759586f, 0.574182f, 1.168105f,
0.145656f, 0.232551f, 0.041391f, 0.372302f, 0.134074f, 0.382754f, 0.247288f, 0.509960f, 0.039260f, 0.090656f, 0.043015f, 0.147930f, 0.246315f, 0.615336f, 0.429361f, 0.717061f,
0.207366f, 0.476669f, 0.083824f, 0.843342f, 0.167569f, 0.688744f, 0.439648f, 1.014110f, 0.163806f, 0.544582f, 0.255300f, 0.982053f, 0.329812f, 1.186261f, 0.817813f, 1.527686f,
0.121829f, 0.331880f, 0.052954f, 0.433706f, 0.150127f, 0.731262f, 0.423528f, 0.795293f, 0.117358f, 0.462374f, 0.196672f, 0.615874f, 0.235539f, 1.003979f, 0.628002f, 0.955004f,
0.292668f, 0.516223f, 0.076092f, 0.926038f, 0.238406f, 0.751906f, 0.402310f, 1.122523f, 0.271717f, 0.693156f, 0.272375f, 1.267379f, 0.402058f, 1.109644f, 0.641221f, 1.448911f,
0.050828f, 0.081012f, 0.015369f, 0.126731f, 0.072420f, 0.206391f, 0.142132f, 0.268697f, 0.018783f, 0.043298f, 0.021898f, 0.069037f, 0.110917f, 0.276615f, 0.205733f, 0.314974f,
0.067112f, 0.154005f, 0.028867f, 0.266243f, 0.083945f, 0.344441f, 0.234358f, 0.495561f, 0.072683f, 0.241225f, 0.120539f, 0.425059f, 0.137740f, 0.494574f, 0.363432f, 0.622358f,
0.036190f, 0.098419f, 0.016738f, 0.125675f, 0.069030f, 0.335666f, 0.207222f, 0.356712f, 0.047796f, 0.187988f, 0.085231f, 0.244672f, 0.090289f, 0.384196f, 0.256158f, 0.357099f,
0.128070f, 0.225511f, 0.035431f, 0.395288f, 0.161483f, 0.508429f, 0.289965f, 0.741681f, 0.163015f, 0.415145f, 0.173882f, 0.741704f, 0.227034f, 0.625525f, 0.385289f, 0.798100f,
0.181327f, 0.197654f, 0.051343f, 0.382130f, 0.162262f, 0.316260f, 0.298206f, 0.508848f, 0.033636f, 0.053028f, 0.036721f, 0.104494f, 0.317780f, 0.542005f, 0.551954f, 0.762736f,
0.185977f, 0.291874f, 0.074909f, 0.623605f, 0.146101f, 0.409990f, 0.381952f, 0.728999f, 0.101106f, 0.229489f, 0.157014f, 0.499759f, 0.306545f, 0.752769f, 0.757400f, 1.170692f,
0.137800f, 0.256290f, 0.059681f, 0.404458f, 0.165079f, 0.548985f, 0.464044f, 0.721011f, 0.091354f, 0.245734f, 0.152547f, 0.395267f, 0.276097f, 0.803487f, 0.733508f, 0.922968f,
0.325774f, 0.392314f, 0.084396f, 0.849869f, 0.257985f, 0.555515f, 0.433793f, 1.001508f, 0.208150f, 0.362533f, 0.207909f, 0.800479f, 0.463802f, 0.873942f, 0.737048f, 1.378058f,
0.238641f, 0.435520f, 0.076985f, 0.625056f, 0.257179f, 0.839233f, 0.538490f, 1.002384f, 0.052200f, 0.137781f, 0.064927f, 0.201551f, 0.405784f, 1.158756f, 0.802996f, 1.210514f,
0.262777f, 0.690465f, 0.120588f, 1.095123f, 0.248610f, 1.168038f, 0.740484f, 1.541765f, 0.168456f, 0.640166f, 0.298051f, 1.034899f, 0.420250f, 1.727808f, 1.182990f, 1.994727f,
0.070265f, 0.218797f, 0.034671f, 0.256324f, 0.101372f, 0.564427f, 0.324660f, 0.550295f, 0.054929f, 0.247376f, 0.104501f, 0.295387f, 0.136596f, 0.665542f, 0.413450f, 0.567532f,
0.392706f, 0.791780f, 0.115909f, 1.273298f, 0.374527f, 1.350221f, 0.717486f, 1.807051f, 0.295878f, 0.862784f, 0.336706f, 1.414204f, 0.542464f, 1.711359f, 0.982147f, 2.003241f,
0.171132f, 0.380517f, 0.051419f, 0.463701f, 0.178902f, 0.711285f, 0.348891f, 0.721353f, 0.050020f, 0.160857f, 0.057946f, 0.199796f, 0.362680f, 1.261832f, 0.668458f, 1.119263f,
0.264845f, 0.847867f, 0.113199f, 1.141831f, 0.243062f, 1.391353f, 0.674291f, 1.559378f, 0.226868f, 1.050416f, 0.373861f, 1.441848f, 0.527905f, 2.644385f, 1.384080f, 2.592180f,
0.156080f, 0.592148f, 0.071731f, 0.589022f, 0.218435f, 1.481805f, 0.651574f, 1.226682f, 0.163040f, 0.894602f, 0.288896f, 0.907016f, 0.378173f, 2.244954f, 1.066121f, 1.625455f,
0.361048f, 0.886915f, 0.099254f, 1.211045f, 0.334021f, 1.467157f, 0.595986f, 1.667228f, 0.363489f, 1.291404f, 0.385267f, 1.797316f, 0.621599f, 2.389248f, 1.048209f, 2.374685f,
0.124872f, 0.277183f, 0.039924f, 0.330054f, 0.202063f, 0.801998f, 0.419312f, 0.794753f, 0.050040f, 0.160646f, 0.061684f, 0.194972f, 0.341499f, 1.186109f, 0.669754f, 1.028041f,
0.179231f, 0.572805f, 0.081515f, 0.753764f, 0.254610f, 1.454968f, 0.751591f, 1.593392f, 0.210491f, 0.972925f, 0.369102f, 1.304946f, 0.461008f, 2.305337f, 1.286143f, 2.208158f,
0.096950f, 0.367187f, 0.047411f, 0.356897f, 0.210019f, 1.422280f, 0.666616f, 1.150486f, 0.138845f, 0.760547f, 0.261792f, 0.753470f, 0.303124f, 1.796368f, 0.909311f, 1.270919f,
0.330366f, 0.810160f, 0.096639f, 1.080946f, 0.473089f, 2.074448f, 0.898216f, 2.303435f, 0.455997f, 1.617298f, 0.514289f, 2.199416f, 0.733960f, 2.816313f, 1.317000f, 2.735148f,
0.230008f, 0.349173f, 0.068862f, 0.513845f, 0.233756f, 0.634522f, 0.454236f, 0.777101f, 0.046267f, 0.101584f, 0.053407f, 0.152370f, 0.505171f, 1.199972f, 0.927753f, 1.285370f,
0.256445f, 0.560512f, 0.109216f, 0.911560f, 0.228800f, 0.894192f, 0.632455f, 1.210240f, 0.151180f, 0.477902f, 0.248243f, 0.792180f, 0.529737f, 1.811692f, 1.383917f, 2.144627f,
0.190599f, 0.493697f, 0.087282f, 0.593045f, 0.259318f, 1.201039f, 0.770759f, 1.200673f, 0.137021f, 0.513311f, 0.241925f, 0.628481f, 0.478594f, 1.939724f, 1.344399f, 1.696033f,
0.433894f, 0.727706f, 0.118853f, 1.199945f, 0.390238f, 1.170273f, 0.693802f, 1.605950f, 0.300629f, 0.729217f, 0.317501f, 1.225592f, 0.774163f, 2.031601f, 1.300811f, 2.438428f,
0.071432f, 0.135133f, 0.021986f, 0.200242f, 0.083200f, 0.281432f, 0.166209f, 0.347063f, 0.018481f, 0.050564f, 0.021931f, 0.076369f, 0.130629f, 0.386669f, 0.246630f, 0.417061f,
0.066959f, 0.182377f, 0.029317f, 0.298658f, 0.068467f, 0.333445f, 0.194567f, 0.454431f, 0.050770f, 0.199995f, 0.085705f, 0.333817f, 0.115167f, 0.490816f, 0.309307f, 0.585046f,
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0.078612f, 0.199834f, 0.021940f, 0.275286f, 0.121668f, 0.553018f, 0.220395f, 0.634009f, 0.128338f, 0.471831f, 0.138099f, 0.662502f, 0.187828f, 0.747091f, 0.321562f, 0.749129f,
0.076356f, 0.120156f, 0.021811f, 0.182566f, 0.083869f, 0.235988f, 0.155493f, 0.298403f, 0.018167f, 0.041346f, 0.020007f, 0.064031f, 0.180357f, 0.444089f, 0.316022f, 0.491146f,
0.072472f, 0.164197f, 0.029448f, 0.275708f, 0.069883f, 0.283106f, 0.184304f, 0.395616f, 0.050533f, 0.165584f, 0.079167f, 0.283391f, 0.161002f, 0.570768f, 0.401301f, 0.697606f,
0.060533f, 0.162530f, 0.026448f, 0.201578f, 0.089010f, 0.427335f, 0.252415f, 0.441082f, 0.051470f, 0.199872f, 0.086704f, 0.252666f, 0.163467f, 0.686764f, 0.438108f, 0.619990f,
0.131572f, 0.228739f, 0.034386f, 0.389429f, 0.127893f, 0.397566f, 0.216942f, 0.563297f, 0.107823f, 0.271106f, 0.108646f, 0.470448f, 0.252468f, 0.686779f, 0.404742f, 0.851082f,
0.254579f, 0.420878f, 0.067651f, 0.623936f, 0.315714f, 0.933283f, 0.544539f, 1.151427f, 0.057210f, 0.136790f, 0.058615f, 0.206692f, 0.412654f, 1.067467f, 0.672662f, 1.151872f,
0.257672f, 0.613327f, 0.097404f, 1.004814f, 0.280530f, 1.193958f, 0.688285f, 1.627880f, 0.169700f, 0.584199f, 0.247332f, 0.975524f, 0.392826f, 1.463052f, 0.910890f, 1.744695f,
0.064821f, 0.182847f, 0.026347f, 0.221263f, 0.107616f, 0.542796f, 0.283909f, 0.546635f, 0.052059f, 0.212385f, 0.081584f, 0.261956f, 0.120124f, 0.530196f, 0.299506f, 0.467007f,
0.374581f, 0.684154f, 0.091073f, 1.136453f, 0.411096f, 1.342566f, 0.648732f, 1.855980f, 0.289940f, 0.765894f, 0.271793f, 1.296732f, 0.493245f, 1.409626f, 0.735631f, 1.704385f,
0.206179f, 0.415299f, 0.051031f, 0.522753f, 0.248034f, 0.893329f, 0.398454f, 0.935810f, 0.061912f, 0.180361f, 0.059081f, 0.231399f, 0.416536f, 1.312808f, 0.632404f, 1.202828f,
0.293298f, 0.850581f, 0.103264f, 1.183210f, 0.309753f, 1.606227f, 0.707844f, 1.859487f, 0.258111f, 1.082596f, 0.350378f, 1.534958f, 0.557296f, 2.528867f, 1.203603f, 2.560581f,
0.162615f, 0.558876f, 0.061562f, 0.574233f, 0.261889f, 1.609376f, 0.643503f, 1.376165f, 0.174511f, 0.867425f, 0.254721f, 0.908425f, 0.375593f, 2.019788f, 0.872219f, 1.510585f,
0.388937f, 0.865503f, 0.088075f, 1.220728f, 0.414067f, 1.647573f, 0.608591f, 1.933904f, 0.402276f, 1.294690f, 0.351225f, 1.861230f, 0.638321f, 2.222600f, 0.886684f, 2.281802f,
0.179228f, 0.360395f, 0.047203f, 0.443272f, 0.333742f, 1.199963f, 0.570496f, 1.228284f, 0.073786f, 0.214585f, 0.074925f, 0.269014f, 0.467245f, 1.470114f, 0.754853f, 1.316160f,
0.236460f, 0.684575f, 0.088588f, 0.930513f, 0.386546f, 2.001013f, 0.939937f, 2.263555f, 0.285295f, 1.194569f, 0.412097f, 1.654994f, 0.579782f, 2.626411f, 1.332411f, 2.598545f,
0.120333f, 0.412856f, 0.048475f, 0.414502f, 0.299972f, 1.840257f, 0.784314f, 1.537611f, 0.177047f, 0.878526f, 0.274983f, 0.899015f, 0.358653f, 1.925397f, 0.886255f, 1.407067f,
0.423972f, 0.941855f, 0.102162f, 1.298043f, 0.698661f, 2.775221f, 1.092689f, 3.183046f, 0.601203f, 1.931614f, 0.558546f, 2.713375f, 0.897900f, 3.121101f, 1.327191f, 3.130975f,
0.282684f, 0.388752f, 0.069716f, 0.590928f, 0.330601f, 0.812942f, 0.529194f, 1.028400f, 0.058419f, 0.116191f, 0.055548f, 0.180020f, 0.591850f, 1.273549f, 0.895361f, 1.409110f,
0.289705f, 0.573611f, 0.101635f, 0.963586f, 0.297440f, 1.053041f, 0.677275f, 1.472170f, 0.175458f, 0.502445f, 0.237327f, 0.860292f, 0.570474f, 1.767384f, 1.227658f, 2.161077f,
0.202572f, 0.475324f, 0.076415f, 0.589780f, 0.317157f, 1.330664f, 0.776517f, 1.374068f, 0.149611f, 0.507723f, 0.217595f, 0.642112f, 0.484886f, 1.780260f, 1.121999f, 1.607865f,
0.476809f, 0.724415f, 0.107588f, 1.233857f, 0.493482f, 1.340603f, 0.722720f, 1.900279f, 0.339398f, 0.745771f, 0.295267f, 1.294692f, 0.810973f, 1.927895f, 1.122484f, 2.390160f,
0.230052f, 0.301463f, 0.070189f, 0.568405f, 0.279227f, 0.654260f, 0.552945f, 1.026632f, 0.054683f, 0.103637f, 0.064326f, 0.199170f, 0.343024f, 0.703341f, 0.641985f, 0.965288f,
0.311947f, 0.588545f, 0.135388f, 1.226351f, 0.332394f, 1.121339f, 0.936339f, 1.944517f, 0.217310f, 0.592967f, 0.363636f, 1.259359f, 0.437472f, 1.291464f, 1.164676f, 1.958770f,
0.064795f, 0.144873f, 0.030238f, 0.222971f, 0.105284f, 0.420916f, 0.318900f, 0.539134f, 0.055043f, 0.177993f, 0.099038f, 0.279222f, 0.110456f, 0.386429f, 0.316195f, 0.432910f,
0.503707f, 0.729221f, 0.140608f, 1.540629f, 0.541048f, 1.400559f, 0.980274f, 2.462522f, 0.412404f, 0.863489f, 0.443856f, 1.859429f, 0.610140f, 1.382114f, 1.044761f, 2.125442f,
0.233699f, 0.373118f, 0.066410f, 0.597343f, 0.275159f, 0.785520f, 0.507505f, 1.046585f, 0.074228f, 0.171400f, 0.081327f, 0.279687f, 0.434310f, 1.084980f, 0.757062f, 1.264344f,
0.445382f, 1.023793f, 0.180038f, 1.811339f, 0.460361f, 1.892185f, 1.207844f, 2.786064f, 0.414584f, 1.378306f, 0.646148f, 2.485518f, 0.778474f, 2.799995f, 1.930329f, 3.605879f,
0.203889f, 0.555421f, 0.088621f, 0.725833f, 0.321374f, 1.565397f, 0.906639f, 1.702468f, 0.231441f, 0.911846f, 0.387856f, 1.214562f, 0.433197f, 1.846492f, 1.155005f, 1.756419f,
0.656025f, 1.157131f, 0.170563f, 2.075746f, 0.683553f, 2.155852f, 1.153497f, 3.218479f, 0.717708f, 1.830891f, 0.719448f, 3.347636f, 0.990409f, 2.733444f, 1.579553f, 3.569178f,
0.069707f, 0.111102f, 0.021078f, 0.173801f, 0.127039f, 0.362051f, 0.249328f, 0.471349f, 0.030355f, 0.069972f, 0.035389f, 0.111568f, 0.167166f, 0.416896f, 0.310067f, 0.474708f,
0.123207f, 0.282731f, 0.052996f, 0.488783f, 0.197125f, 0.808840f, 0.550336f, 1.163711f, 0.157238f, 0.521851f, 0.260766f, 0.919545f, 0.277894f, 0.997815f, 0.733233f, 1.255622f,
0.051770f, 0.140787f, 0.023944f, 0.179776f, 0.126308f, 0.614188f, 0.379166f, 0.652696f, 0.080568f, 0.316884f, 0.143671f, 0.412433f, 0.141938f, 0.603974f, 0.402692f, 0.561376f,
0.245377f, 0.432070f, 0.067885f, 0.757358f, 0.395753f, 1.246029f, 0.710630f, 1.817669f, 0.368045f, 0.937288f, 0.392580f, 1.674573f, 0.478035f, 1.317082f, 0.811251f, 1.680452f,
0.398167f, 0.434019f, 0.112742f, 0.839099f, 0.455751f, 0.888293f, 0.837584f, 1.429224f, 0.087036f, 0.137212f, 0.095018f, 0.270384f, 0.766850f, 1.307938f, 1.331945f, 1.840593f,
0.546677f, 0.857957f, 0.220194f, 1.833072f, 0.549330f, 1.541534f, 1.436115f, 2.740989f, 0.350212f, 0.794912f, 0.543870f, 1.731081f, 0.990251f, 2.431719f, 2.446676f, 3.781761f,
0.315620f, 0.587014f, 0.136695f, 0.926380f, 0.483636f, 1.608373f, 1.359520f, 2.112359f, 0.246565f, 0.663235f, 0.411724f, 1.066824f, 0.694959f, 2.022443f, 1.846298f, 2.323185f,
0.999393f, 1.203519f, 0.258907f, 2.607183f, 1.012334f, 2.179845f, 1.702206f, 3.929924f, 0.752460f, 1.310549f, 0.751587f, 2.893715f, 1.563627f, 2.946345f, 2.484830f, 4.645885f,
0.302687f, 0.552404f, 0.097646f, 0.792808f, 0.417248f, 1.361577f, 0.873649f, 1.626273f, 0.078021f, 0.205933f, 0.097042f, 0.301245f, 0.565622f, 1.615186f, 1.119294f, 1.687331f,
0.446174f, 1.172353f, 0.204749f, 1.859430f, 0.539939f, 2.536787f, 1.608210f, 3.348462f, 0.337046f, 1.280843f, 0.596340f, 2.070625f, 0.784162f, 3.223991f, 2.207391f, 3.722045f,
0.092961f, 0.289471f, 0.045870f, 0.339119f, 0.171551f, 0.955170f, 0.549417f, 0.931256f, 0.085635f, 0.385663f, 0.162918f, 0.460511f, 0.198602f, 0.967653f, 0.601129f, 0.825153f,
0.695880f, 1.403043f, 0.205392f, 2.256299f, 0.848907f, 3.060423f, 1.626261f, 4.095879f, 0.617825f, 1.801587f, 0.703078f, 2.953009f, 1.056377f, 3.332643f, 1.912601f, 3.901044f,
0.293859f, 0.653406f, 0.088294f, 0.796245f, 0.392947f, 1.562293f, 0.766316f, 1.584406f, 0.101213f, 0.325487f, 0.117252f, 0.404279f, 0.684406f, 2.381175f, 1.261432f, 2.112135f,
0.608792f, 1.948965f, 0.260207f, 2.624690f, 0.714667f, 4.090946f, 1.982592f, 4.584984f, 0.614519f, 2.845273f, 1.012682f, 3.905548f, 1.333562f, 6.680086f, 3.496379f, 6.548210f,
0.279556f, 1.060603f, 0.128478f, 1.055003f, 0.500443f, 3.394872f, 1.492779f, 2.810375f, 0.344114f, 1.888159f, 0.609748f, 1.914360f, 0.744378f, 4.418866f, 2.098505f, 3.199472f,
0.866144f, 2.127686f, 0.238107f, 2.905266f, 1.024967f, 4.502072f, 1.828825f, 5.116002f, 1.027552f, 3.650684f, 1.089114f, 5.080852f, 1.638767f, 6.298951f, 2.763470f, 6.260556f,
0.183280f, 0.406834f, 0.058598f, 0.484436f, 0.379356f, 1.505684f, 0.787223f, 1.492083f, 0.086547f, 0.277848f, 0.106687f, 0.337217f, 0.550835f, 1.913182f, 1.080307f, 1.658219f,
0.352153f, 1.125446f, 0.160161f, 1.480996f, 0.639888f, 3.656637f, 1.888903f, 4.004525f, 0.487347f, 2.252598f, 0.854577f, 3.021322f, 0.995423f, 4.977758f, 2.777081f, 4.767925f,
0.148426f, 0.562149f, 0.072585f, 0.546396f, 0.411276f, 2.785219f, 1.305419f, 2.252970f, 0.250485f, 1.372070f, 0.472288f, 1.359304f, 0.509995f, 3.022321f, 1.529882f, 2.138273f,
0.677428f, 1.661262f, 0.198162f, 2.216520f, 1.240854f, 5.441021f, 2.355908f, 6.041625f, 1.101834f, 3.907904f, 1.242686f, 5.314487f, 1.653946f, 6.346435f, 2.967800f, 6.163532f,
0.540536f, 0.820585f, 0.161831f, 1.207576f, 0.702677f, 1.907390f, 1.365445f, 2.335987f, 0.128128f, 0.281316f, 0.147900f, 0.421959f, 1.304676f, 3.099097f, 2.396054f, 3.319651f,
0.806761f, 1.763336f, 0.343588f, 2.867716f, 0.920696f, 3.598249f, 2.545013f, 4.870036f, 0.560444f, 1.771640f, 0.920267f, 2.936706f, 1.831439f, 6.263488f, 4.784557f, 7.414530f,
0.467216f, 1.210199f, 0.213955f, 1.453732f, 0.813092f, 3.765855f, 2.416712f, 3.764709f, 0.395796f, 1.482733f, 0.698818f, 1.815410f, 1.289275f, 5.225378f, 3.621645f, 4.568904f,
1.424570f, 2.389220f, 0.390220f, 3.939683f, 1.638853f, 4.914702f, 2.913708f, 6.744384f, 1.163102f, 2.821260f, 1.228377f, 4.741681f, 2.793276f, 7.330266f, 4.693484f, 8.798148f,
0.149690f, 0.283178f, 0.046073f, 0.419618f, 0.223014f, 0.754368f, 0.445516f, 0.930288f, 0.045636f, 0.124861f, 0.054156f, 0.188584f, 0.300829f, 0.890471f, 0.567972f, 0.960462f,
0.187836f, 0.511608f, 0.082240f, 0.837802f, 0.245673f, 1.196467f, 0.698144f, 1.630592f, 0.167827f, 0.661110f, 0.283307f, 1.103473f, 0.355038f, 1.513098f, 0.953538f, 1.803590f,
0.043981f, 0.141963f, 0.020706f, 0.171714f, 0.087720f, 0.506279f, 0.268038f, 0.509637f, 0.047920f, 0.223706f, 0.086981f, 0.275799f, 0.101052f, 0.510370f, 0.291823f, 0.449348f,
0.314349f, 0.656981f, 0.088522f, 1.090841f, 0.414454f, 1.548824f, 0.757524f, 2.140181f, 0.330098f, 0.997783f, 0.358402f, 1.688607f, 0.513206f, 1.678284f, 0.886516f, 2.028339f,
0.128401f, 0.295949f, 0.036809f, 0.372360f, 0.185567f, 0.764777f, 0.345276f, 0.800795f, 0.052308f, 0.174368f, 0.057815f, 0.223613f, 0.321616f, 1.159898f, 0.565559f, 1.062265f,
0.226451f, 0.751474f, 0.092345f, 1.044890f, 0.287308f, 1.704794f, 0.760444f, 1.972736f, 0.270359f, 1.297575f, 0.425077f, 1.838965f, 0.533474f, 2.770042f, 1.334469f, 2.803560f,
0.116860f, 0.459574f, 0.051241f, 0.471997f, 0.226095f, 1.589879f, 0.643461f, 1.358901f, 0.170137f, 0.967698f, 0.287632f, 1.012996f, 0.334647f, 2.059244f, 0.900103f, 1.539424f,
0.345700f, 0.880280f, 0.090672f, 1.241029f, 0.442138f, 2.013094f, 0.752678f, 2.361920f, 0.485078f, 1.786431f, 0.490536f, 2.567034f, 0.703430f, 2.802697f, 1.131744f, 2.876098f,
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0.050651f, 0.080730f, 0.015316f, 0.126289f, 0.092311f, 0.263077f, 0.181169f, 0.342495f, 0.022057f, 0.050844f, 0.025714f, 0.081069f, 0.121468f, 0.302928f, 0.225304f, 0.344936f,
0.118308f, 0.271488f, 0.050889f, 0.469347f, 0.189286f, 0.776676f, 0.528452f, 1.117436f, 0.150985f, 0.501099f, 0.250397f, 0.882978f, 0.266844f, 0.958136f, 0.704076f, 1.205692f,
0.042359f, 0.115196f, 0.019592f, 0.147098f, 0.103349f, 0.502546f, 0.310245f, 0.534054f, 0.065923f, 0.259283f, 0.117555f, 0.337465f, 0.116138f, 0.494188f, 0.329494f, 0.459334f,
0.211764f, 0.372882f, 0.058586f, 0.653610f, 0.341540f, 1.075340f, 0.613283f, 1.568673f, 0.317628f, 0.808893f, 0.338802f, 1.445179f, 0.412551f, 1.136660f, 0.700121f, 1.450252f,
0.304007f, 0.331381f, 0.086080f, 0.640666f, 0.347974f, 0.678226f, 0.639509f, 1.091236f, 0.066453f, 0.104764f, 0.072548f, 0.206443f, 0.585502f, 0.998632f, 1.016962f, 1.405323f,
0.551587f, 0.865662f, 0.222172f, 1.849536f, 0.554264f, 1.555379f, 1.449014f, 2.765607f, 0.353358f, 0.802052f, 0.548754f, 1.746628f, 0.999145f, 2.453560f, 2.468651f, 3.815727f,
0.271360f, 0.504695f, 0.117526f, 0.796471f, 0.415814f, 1.382825f, 1.168869f, 1.816136f, 0.211988f, 0.570228f, 0.353986f, 0.917220f, 0.597503f, 1.738828f, 1.587385f, 1.997396f,
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0.216654f, 0.395395f, 0.069892f, 0.567469f, 0.298654f, 0.974577f, 0.625332f, 1.164038f, 0.055845f, 0.147401f, 0.069460f, 0.215623f, 0.404855f, 1.156103f, 0.801157f, 1.207742f,
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0.074927f, 0.233314f, 0.036971f, 0.273331f, 0.138270f, 0.769868f, 0.442831f, 0.750594f, 0.069022f, 0.310845f, 0.131312f, 0.371173f, 0.160073f, 0.779930f, 0.484511f, 0.665074f,
0.591580f, 1.192752f, 0.174608f, 1.918119f, 0.721671f, 2.601720f, 1.382513f, 3.481979f, 0.525224f, 1.531561f, 0.597699f, 2.510405f, 0.898044f, 2.833139f, 1.625936f, 3.316346f,
0.283246f, 0.629807f, 0.085105f, 0.767487f, 0.378755f, 1.505868f, 0.738639f, 1.527182f, 0.097558f, 0.313731f, 0.113017f, 0.389678f, 0.659687f, 2.295174f, 1.215873f, 2.035851f,
0.775457f, 2.482522f, 0.331442f, 3.343237f, 0.910317f, 5.210902f, 2.525356f, 5.840190f, 0.782753f, 3.624207f, 1.289918f, 4.974749f, 1.698644f, 8.508857f, 4.453563f, 8.340877f,
0.303428f, 1.151169f, 0.139449f, 1.145091f, 0.543176f, 3.684764f, 1.620250f, 3.050357f, 0.373498f, 2.049392f, 0.661815f, 2.077830f, 0.807941f, 4.796199f, 2.277699f, 3.472679f,
0.991561f, 2.435775f, 0.272585f, 3.325948f, 1.173382f, 5.153971f, 2.093639f, 5.856797f, 1.176341f, 4.179302f, 1.246818f, 5.816558f, 1.876060f, 7.211038f, 3.163620f, 7.167084f,
0.152575f, 0.338676f, 0.048781f, 0.403277f, 0.315802f, 1.253435f, 0.655339f, 1.242112f, 0.072048f, 0.231299f, 0.088813f, 0.280723f, 0.458553f, 1.592665f, 0.899322f, 1.380416f,
0.387404f, 1.238105f, 0.176194f, 1.629245f, 0.703942f, 4.022671f, 2.077985f, 4.405384f, 0.536131f, 2.478086f, 0.940121f, 3.323760f, 1.095066f, 5.476039f, 3.055071f, 5.245201f,
0.139136f, 0.526964f, 0.068042f, 0.512197f, 0.385535f, 2.610895f, 1.223714f, 2.111959f, 0.234808f, 1.286194f, 0.442727f, 1.274226f, 0.478075f, 2.833156f, 1.434128f, 2.004440f,
0.669786f, 1.642522f, 0.195927f, 2.191516f, 1.226856f, 5.379643f, 2.329333f, 5.973473f, 1.089404f, 3.863821f, 1.228668f, 5.254537f, 1.635289f, 6.274844f, 2.934322f, 6.094005f,
0.472823f, 0.717790f, 0.141559f, 1.056303f, 0.614653f, 1.668451f, 1.194396f, 2.043357f, 0.112077f, 0.246076f, 0.129373f, 0.369100f, 1.141239f, 2.710872f, 2.095900f, 2.903797f,
0.932575f, 2.038327f, 0.397171f, 3.314934f, 1.064278f, 4.159393f, 2.941906f, 5.629514f, 0.647845f, 2.047926f, 1.063782f, 3.394683f, 2.117051f, 7.240274f, 5.530705f, 8.570820f,
0.460208f, 1.192045f, 0.210746f, 1.431925f, 0.800896f, 3.709365f, 2.380460f, 3.708236f, 0.389859f, 1.460491f, 0.688335f, 1.788178f, 1.269935f, 5.146994f, 3.567318f, 4.500367f,
1.480004f, 2.482191f, 0.405405f, 4.092987f, 1.702625f, 5.105947f, 3.027089f, 7.006828f, 1.208362f, 2.931044f, 1.276176f, 4.926193f, 2.901970f, 7.615507f, 4.876121f, 9.140509f,
0.111484f, 0.210901f, 0.034313f, 0.312517f, 0.166093f, 0.561828f, 0.331805f, 0.692847f, 0.033988f, 0.092992f, 0.040334f, 0.140451f, 0.224047f, 0.663193f, 0.423006f, 0.715320f,
0.184869f, 0.503526f, 0.080941f, 0.824568f, 0.241792f, 1.177568f, 0.687116f, 1.604834f, 0.165176f, 0.650666f, 0.278832f, 1.086042f, 0.349430f, 1.489196f, 0.938476f, 1.775100f,
0.036885f, 0.119058f, 0.017365f, 0.144009f, 0.073567f, 0.424592f, 0.224791f, 0.427409f, 0.040188f, 0.187612f, 0.072947f, 0.231300f, 0.084748f, 0.428024f, 0.244738f, 0.376847f,
0.278060f, 0.581137f, 0.078303f, 0.964910f, 0.366608f, 1.370021f, 0.670072f, 1.893110f, 0.291990f, 0.882595f, 0.317026f, 1.493668f, 0.453959f, 1.484536f, 0.784173f, 1.794179f,
0.128777f, 0.296816f, 0.036917f, 0.373451f, 0.186111f, 0.767018f, 0.346287f, 0.803142f, 0.052461f, 0.174879f, 0.057984f, 0.224268f, 0.322559f, 1.163296f, 0.567216f, 1.065378f,
0.300130f, 0.995977f, 0.122391f, 1.384861f, 0.380788f, 2.259474f, 1.007866f, 2.614595f, 0.358324f, 1.719761f, 0.563382f, 2.437300f, 0.707048f, 3.671317f, 1.768658f, 3.715740f,
0.131977f, 0.519024f, 0.057870f, 0.533054f, 0.255343f, 1.795547f, 0.726699f, 1.534690f, 0.192146f, 1.092880f, 0.324840f, 1.144038f, 0.377937f, 2.325629f, 1.016542f, 1.738565f,
0.411789f, 1.048568f, 0.108006f, 1.478284f, 0.526664f, 2.397949f, 0.896572f, 2.813463f, 0.577813f, 2.127954f, 0.584315f, 3.057789f, 0.837909f, 3.338505f, 1.348106f, 3.425939f,
0.068327f, 0.157217f, 0.020843f, 0.193286f, 0.152850f, 0.628861f, 0.302625f, 0.643423f, 0.038162f, 0.126996f, 0.044883f, 0.159138f, 0.220849f, 0.795122f, 0.413247f, 0.711544f,
0.147690f, 0.489269f, 0.064086f, 0.664753f, 0.290043f, 1.718081f, 0.816878f, 1.942655f, 0.241744f, 1.158260f, 0.404444f, 1.603992f, 0.448974f, 2.327297f, 1.195067f, 2.301603f,
0.059610f, 0.234026f, 0.027813f, 0.234857f, 0.178517f, 1.253173f, 0.540614f, 1.046622f, 0.118984f, 0.675598f, 0.214044f, 0.691053f, 0.220277f, 1.353157f, 0.630451f, 0.988448f,
0.273985f, 0.696475f, 0.076467f, 0.959449f, 0.542403f, 2.465392f, 0.982539f, 2.826457f, 0.527082f, 1.937805f, 0.567170f, 2.720886f, 0.719415f, 2.861487f, 1.231635f, 2.869291f,
0.269833f, 0.424618f, 0.077077f, 0.645167f, 0.379110f, 1.066725f, 0.702866f, 1.348858f, 0.075651f, 0.172174f, 0.083316f, 0.266641f, 0.700435f, 1.724663f, 1.227302f, 1.907412f,
0.453061f, 1.026480f, 0.184094f, 1.723592f, 0.558812f, 2.263836f, 1.473769f, 3.163508f, 0.372257f, 1.219803f, 0.583195f, 2.087650f, 1.106111f, 3.921266f, 2.757004f, 4.792660f,
0.251258f, 0.674624f, 0.109778f, 0.836705f, 0.472585f, 2.268857f, 1.340152f, 2.341844f, 0.251751f, 0.977613f, 0.424086f, 1.235839f, 0.745661f, 3.132691f, 1.998441f, 2.828100f,
0.771505f, 1.341268f, 0.201630f, 2.283513f, 0.959254f, 2.981913f, 1.627157f, 4.224964f, 0.745027f, 1.873274f, 0.750715f, 3.250674f, 1.626911f, 4.425616f, 2.608164f, 5.484388f,
0.195092f, 0.322533f, 0.051844f, 0.478143f, 0.309472f, 0.914832f, 0.533773f, 1.128663f, 0.051662f, 0.123526f, 0.052932f, 0.186650f, 0.347525f, 0.898987f, 0.566494f, 0.970070f,
0.349315f, 0.831462f, 0.132046f, 1.362184f, 0.486451f, 2.070377f, 1.193518f, 2.822818f, 0.271093f, 0.933248f, 0.395108f, 1.558384f, 0.585237f, 2.179672f, 1.357055f, 2.599268f,
0.058346f, 0.164582f, 0.023715f, 0.199160f, 0.123903f, 0.624943f, 0.326875f, 0.629362f, 0.055217f, 0.225270f, 0.086534f, 0.277848f, 0.118824f, 0.524459f, 0.296265f, 0.461953f,
0.476306f, 0.869949f, 0.115805f, 1.445079f, 0.668641f, 2.183665f, 1.055153f, 3.018725f, 0.434445f, 1.147612f, 0.407253f, 1.943018f, 0.689261f, 1.969814f, 1.027973f, 2.381712f,
0.288053f, 0.580214f, 0.071295f, 0.730338f, 0.443250f, 1.596427f, 0.712058f, 1.672342f, 0.101927f, 0.296931f, 0.097266f, 0.380957f, 0.639530f, 2.015626f, 0.970964f, 1.846768f,
0.724885f, 2.102208f, 0.255218f, 2.924299f, 0.979232f, 5.077817f, 2.237729f, 5.878454f, 0.751715f, 3.152918f, 1.020429f, 4.470363f, 1.513656f, 6.868584f, 3.269072f, 6.954721f,
0.266848f, 0.917104f, 0.101022f, 0.942305f, 0.549706f, 3.378086f, 1.350715f, 2.888575f, 0.337453f, 1.677342f, 0.492554f, 1.756623f, 0.677332f, 3.642421f, 1.572932f, 2.724140f,
0.901632f, 2.006404f, 0.204175f, 2.829884f, 1.227810f, 4.885451f, 1.804618f, 5.734491f, 1.098905f, 3.536731f, 0.959450f, 5.084360f, 1.626185f, 5.662293f, 2.258914f, 5.813117f,
0.184850f, 0.371700f, 0.048683f, 0.457176f, 0.440284f, 1.583036f, 0.752620f, 1.620399f, 0.089675f, 0.260795f, 0.091059f, 0.326945f, 0.529589f, 1.666270f, 0.855573f, 1.491773f,
0.431422f, 1.249012f, 0.161629f, 1.697727f, 0.902104f, 4.669877f, 2.193584f, 5.282587f, 0.613375f, 2.568283f, 0.885995f, 3.558182f, 1.162497f, 5.266103f, 2.671560f, 5.210231f,
0.145772f, 0.500135f, 0.058722f, 0.502129f, 0.464815f, 2.851525f, 1.215314f, 2.382568f, 0.252734f, 1.254093f, 0.392537f, 1.283340f, 0.477468f, 2.563245f, 1.179854f, 1.873202f,
0.725559f, 1.611830f, 0.174833f, 2.221389f, 1.529368f, 6.074954f, 2.391894f, 6.967683f, 1.212391f, 3.895311f, 1.126369f, 5.471816f, 1.688669f, 5.869814f, 2.496031f, 5.888384f,
0.490516f, 0.674565f, 0.120972f, 1.025383f, 0.733780f, 1.804351f, 1.174563f, 2.282568f, 0.119451f, 0.237581f, 0.113581f, 0.368094f, 1.128612f, 2.428557f, 1.707382f, 2.687061f,
0.889283f, 1.760765f, 0.311979f, 2.957838f, 1.167866f, 4.134654f, 2.659248f, 5.780323f, 0.634665f, 1.817436f, 0.858456f, 3.111831f, 1.924425f, 5.962056f, 4.141355f, 7.290132f,
0.412864f, 0.968762f, 0.155741f, 1.202034f, 0.826820f, 3.469010f, 2.024360f, 3.582164f, 0.359317f, 1.219384f, 0.522591f, 1.542142f, 1.086046f, 3.987417f, 2.513047f, 3.601288f,
1.372833f, 2.085746f, 0.309767f, 3.552537f, 1.817421f, 4.937239f, 2.661668f, 6.998440f, 1.151513f, 2.530263f, 1.001786f, 4.392652f, 2.566027f, 6.100122f, 3.551689f, 7.562790f,
0.111522f, 0.146140f, 0.034026f, 0.275546f, 0.125423f, 0.293880f, 0.248371f, 0.461142f, 0.024782f, 0.046966f, 0.029151f, 0.090260f, 0.165108f, 0.338541f, 0.309008f, 0.464624f,
0.205238f, 0.387219f, 0.089075f, 0.806847f, 0.202635f, 0.683593f, 0.570813f, 1.185420f, 0.133657f, 0.364708f, 0.223656f, 0.774575f, 0.285782f, 0.843661f, 0.760835f, 1.279584f,
0.042457f, 0.094929f, 0.019814f, 0.146104f, 0.063923f, 0.255560f, 0.193620f, 0.327336f, 0.033717f, 0.109032f, 0.060667f, 0.171041f, 0.071864f, 0.251415f, 0.205720f, 0.281657f,
0.263729f, 0.381803f, 0.073619f, 0.806637f, 0.262482f, 0.679462f, 0.475567f, 1.194659f, 0.201855f, 0.422643f, 0.217250f, 0.910117f, 0.317189f, 0.718510f, 0.543133f, 1.104939f,
0.154149f, 0.246110f, 0.043804f, 0.394009f, 0.168171f, 0.480091f, 0.310175f, 0.639648f, 0.045771f, 0.105689f, 0.050148f, 0.172461f, 0.284440f, 0.710580f, 0.495819f, 0.828051f,
0.398709f, 0.916507f, 0.161171f, 1.621523f, 0.381862f, 1.569535f, 1.001886f, 2.310992f, 0.346955f, 1.153470f, 0.540746f, 2.080070f, 0.691953f, 2.488799f, 1.715788f, 3.205115f,
0.181783f, 0.495202f, 0.079013f, 0.647138f, 0.265495f, 1.293209f, 0.748995f, 1.406446f, 0.192903f, 0.760010f, 0.323273f, 1.012320f, 0.383491f, 1.634620f, 1.022477f, 1.554882f,
0.467356f, 0.824346f, 0.121510f, 1.478772f, 0.451215f, 1.423082f, 0.761425f, 2.124523f, 0.477982f, 1.219346f, 0.479141f, 2.229475f, 0.700569f, 1.933509f, 1.117301f, 2.524668f,
0.043223f, 0.068891f, 0.013070f, 0.107769f, 0.072990f, 0.208014f, 0.143250f, 0.270810f, 0.017595f, 0.040560f, 0.020514f, 0.064672f, 0.102919f, 0.256670f, 0.190899f, 0.292263f,
0.103685f, 0.237932f, 0.044599f, 0.411335f, 0.153711f, 0.630705f, 0.429133f, 0.907420f, 0.123701f, 0.410547f, 0.205148f, 0.723419f, 0.232203f, 0.833755f, 0.612676f, 1.049174f,
0.043390f, 0.117999f, 0.020068f, 0.150677f, 0.098091f, 0.476982f, 0.294463f, 0.506887f, 0.063127f, 0.248287f, 0.112570f, 0.323153f, 0.118120f, 0.502624f, 0.335118f, 0.467175f,
0.164330f, 0.289359f, 0.045463f, 0.507205f, 0.245579f, 0.773205f, 0.440971f, 1.127928f, 0.230421f, 0.586805f, 0.245781f, 1.048394f, 0.317872f, 0.875800f, 0.539445f, 1.117424f,
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0.217855f, 0.405182f, 0.094353f, 0.639427f, 0.309317f, 1.028661f, 0.869503f, 1.350994f, 0.159100f, 0.427964f, 0.265672f, 0.688386f, 0.476289f, 1.386076f, 1.265356f, 1.592189f,
0.551194f, 0.663776f, 0.142795f, 1.437937f, 0.517340f, 1.113981f, 0.869890f, 2.008336f, 0.387962f, 0.675708f, 0.387512f, 1.491975f, 0.856270f, 1.613470f, 1.360736f, 2.544168f,
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0.295361f, 0.776082f, 0.135541f, 1.230918f, 0.331190f, 1.556027f, 0.986451f, 2.053896f, 0.208581f, 0.792652f, 0.369046f, 1.281410f, 0.515423f, 2.119102f, 1.450900f, 2.446469f,
0.061290f, 0.190849f, 0.030242f, 0.223583f, 0.104800f, 0.583513f, 0.335639f, 0.568904f, 0.052781f, 0.237701f, 0.100414f, 0.283834f, 0.130011f, 0.633454f, 0.393516f, 0.540169f,
0.366596f, 0.739135f, 0.108202f, 1.188637f, 0.414378f, 1.493888f, 0.793829f, 1.999326f, 0.304268f, 0.887249f, 0.346253f, 1.454303f, 0.552561f, 1.743213f, 1.000428f, 2.040528f,
0.195027f, 0.433649f, 0.058599f, 0.528448f, 0.241642f, 0.960731f, 0.471245f, 0.974329f, 0.062796f, 0.201942f, 0.072746f, 0.250827f, 0.451001f, 1.569118f, 0.831243f, 1.391829f,
0.548359f, 1.755497f, 0.234377f, 2.364146f, 0.596463f, 3.414316f, 1.654678f, 3.826642f, 0.517451f, 2.395838f, 0.852720f, 3.288634f, 1.192665f, 5.974302f, 3.126969f, 5.856359f,
0.250785f, 0.951450f, 0.115256f, 0.946426f, 0.415979f, 2.821891f, 1.240831f, 2.336045f, 0.288584f, 1.583467f, 0.511353f, 1.605440f, 0.663034f, 3.935980f, 1.869184f, 2.849839f,
0.620854f, 1.525132f, 0.170676f, 2.082503f, 0.680759f, 2.990170f, 1.214663f, 3.397928f, 0.688558f, 2.446309f, 0.729811f, 3.404659f, 1.166342f, 4.483084f, 1.966814f, 4.455758f,
0.114348f, 0.253821f, 0.036559f, 0.302237f, 0.219302f, 0.870420f, 0.455085f, 0.862557f, 0.050478f, 0.162052f, 0.062224f, 0.196679f, 0.341226f, 1.185159f, 0.669218f, 1.027217f,
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0.456477f, 1.119422f, 0.133529f, 1.493576f, 0.774747f, 3.397190f, 1.470950f, 3.772187f, 0.694079f, 2.461711f, 0.782807f, 3.347761f, 1.106588f, 4.246142f, 1.985635f, 4.123769f,
0.277729f, 0.421619f, 0.083150f, 0.620456f, 0.334531f, 0.908072f, 0.650062f, 1.112118f, 0.061543f, 0.135123f, 0.071040f, 0.202677f, 0.665592f, 1.581032f, 1.222369f, 1.693550f,
0.562578f, 1.229625f, 0.239594f, 1.999741f, 0.594891f, 2.324945f, 1.644415f, 3.146687f, 0.365349f, 1.154916f, 0.599914f, 1.914412f, 1.268058f, 4.336733f, 3.312747f, 5.133695f,
0.324483f, 0.840487f, 0.148593f, 1.009622f, 0.523237f, 2.423382f, 1.555189f, 2.422645f, 0.256970f, 0.962664f, 0.453707f, 1.178655f, 0.889055f, 3.603306f, 2.497407f, 3.150616f,
0.790542f, 1.325859f, 0.216546f, 2.186263f, 0.842684f, 2.527098f, 1.498204f, 3.467905f, 0.603387f, 1.463597f, 0.637250f, 2.459862f, 1.539089f, 4.038961f, 2.586100f, 4.847762f,
0.092237f, 0.174490f, 0.028389f, 0.258563f, 0.127329f, 0.430704f, 0.254366f, 0.531146f, 0.026288f, 0.071924f, 0.031196f, 0.108631f, 0.184052f, 0.544805f, 0.347495f, 0.587627f,
0.157084f, 0.427849f, 0.068776f, 0.700639f, 0.190368f, 0.927124f, 0.540981f, 1.263521f, 0.131206f, 0.516849f, 0.221487f, 0.862685f, 0.294807f, 1.256404f, 0.791772f, 1.497614f,
0.036632f, 0.118240f, 0.017246f, 0.143020f, 0.067697f, 0.390719f, 0.206857f, 0.393310f, 0.037312f, 0.174183f, 0.067725f, 0.214744f, 0.083569f, 0.422070f, 0.241334f, 0.371606f,
0.209204f, 0.437230f, 0.058913f, 0.725969f, 0.255574f, 0.955086f, 0.467129f, 1.319748f, 0.205370f, 0.620769f, 0.222979f, 1.050565f, 0.339123f, 1.108999f, 0.585804f, 1.340313f,
0.107653f, 0.248128f, 0.030861f, 0.312193f, 0.144160f, 0.594125f, 0.268231f, 0.622106f, 0.040998f, 0.136667f, 0.045314f, 0.175264f, 0.267736f, 0.965579f, 0.470810f, 0.884303f,
0.257676f, 0.855094f, 0.105079f, 1.188970f, 0.302923f, 1.797446f, 0.801772f, 2.079950f, 0.287593f, 1.380289f, 0.452173f, 1.956191f, 0.602730f, 3.129649f, 1.507709f, 3.167518f,
0.132436f, 0.520826f, 0.058070f, 0.534904f, 0.237417f, 1.669495f, 0.675683f, 1.426951f, 0.180249f, 1.025214f, 0.304728f, 1.073204f, 0.376559f, 2.317149f, 1.012835f, 1.732225f,
0.313042f, 0.797122f, 0.082106f, 1.123792f, 0.370976f, 1.689085f, 0.631534f, 1.981768f, 0.410632f, 1.512264f, 0.415253f, 2.173065f, 0.632461f, 2.519932f, 1.017562f, 2.585928f,
0.062172f, 0.143054f, 0.018965f, 0.175874f, 0.128869f, 0.530200f, 0.255146f, 0.542477f, 0.032461f, 0.108026f, 0.038178f, 0.135367f, 0.199528f, 0.718362f, 0.373353f, 0.642854f,
0.138016f, 0.457220f, 0.059888f, 0.621208f, 0.251144f, 1.487663f, 0.707323f, 1.682119f, 0.211189f, 1.011860f, 0.353324f, 1.401253f, 0.416589f, 2.159424f, 1.108864f, 2.135583f,
0.065108f, 0.255612f, 0.030378f, 0.256520f, 0.180668f, 1.268270f, 0.547127f, 1.059231f, 0.121491f, 0.689831f, 0.218554f, 0.705612f, 0.238889f, 1.467487f, 0.683718f, 1.071963f,
0.226708f, 0.576296f, 0.063272f, 0.793893f, 0.415859f, 1.890210f, 0.753310f, 2.167038f, 0.407714f, 1.498952f, 0.438723f, 2.104690f, 0.591056f, 2.350937f, 1.011886f, 2.357348f,
0.192431f, 0.302816f, 0.054967f, 0.460100f, 0.250512f, 0.704883f, 0.464448f, 0.891314f, 0.050435f, 0.114785f, 0.055545f, 0.177764f, 0.495972f, 1.221220f, 0.869042f, 1.350622f,
0.331828f, 0.751808f, 0.134833f, 1.262382f, 0.379233f, 1.536333f, 1.000160f, 2.146887f, 0.254880f, 0.835187f, 0.399308f, 1.429393f, 0.804385f, 2.851620f, 2.004947f, 3.485315f,
0.215088f, 0.577508f, 0.093974f, 0.716257f, 0.374852f, 1.799647f, 1.063002f, 1.857539f, 0.201467f, 0.782349f, 0.339381f, 0.988998f, 0.633792f, 2.662703f, 1.698621f, 2.403809f,
0.500332f, 0.869831f, 0.130760f, 1.480891f, 0.576417f, 1.791836f, 0.977761f, 2.538788f, 0.451678f, 1.135686f, 0.455127f, 1.970745f, 1.047592f, 2.849720f, 1.679436f, 3.531480f,
0.167099f, 0.276253f, 0.044405f, 0.409535f, 0.245606f, 0.726036f, 0.423617f, 0.895739f, 0.041366f, 0.098908f, 0.042382f, 0.149451f, 0.295548f, 0.764532f, 0.481768f, 0.824984f,
0.307274f, 0.731395f, 0.116154f, 1.198244f, 0.396490f, 1.687496f, 0.972797f, 2.300786f, 0.222928f, 0.767439f, 0.324910f, 1.281508f, 0.511153f, 1.903749f, 1.185266f, 2.270228f,
0.059987f, 0.169212f, 0.024383f, 0.204763f, 0.118036f, 0.595351f, 0.311398f, 0.599561f, 0.053072f, 0.216516f, 0.083171f, 0.267051f, 0.121300f, 0.535389f, 0.302439f, 0.471581f,
0.370987f, 0.677589f, 0.090199f, 1.125548f, 0.482558f, 1.575950f, 0.761504f, 2.178612f, 0.316333f, 0.835613f, 0.296534f, 1.414773f, 0.533047f, 1.523375f, 0.794993f, 1.841920f,
0.249289f, 0.502132f, 0.061701f, 0.632054f, 0.355437f, 1.280156f, 0.570991f, 1.341031f, 0.082462f, 0.240228f, 0.078692f, 0.308208f, 0.549541f, 1.732003f, 0.834338f, 1.586906f,
0.644281f, 1.868451f, 0.226838f, 2.599128f, 0.806446f, 4.181834f, 1.842881f, 4.841198f, 0.624592f, 2.619727f, 0.847864f, 3.714379f, 1.335802f, 6.061528f, 2.884957f, 6.137544f,
0.277210f, 0.952718f, 0.104945f, 0.978897f, 0.529127f, 3.251623f, 1.300150f, 2.780438f, 0.327715f, 1.628938f, 0.478341f, 1.705932f, 0.698644f, 3.757031f, 1.622425f, 2.809856f,
0.709576f, 1.579019f, 0.160684f, 2.227089f, 0.895332f, 3.562522f, 1.315946f, 4.181651f, 0.808475f, 2.602007f, 0.705876f, 3.740613f, 1.270715f, 4.424563f, 1.765134f, 4.542418f,
0.174125f, 0.350134f, 0.045859f, 0.430651f, 0.384290f, 1.381711f, 0.656904f, 1.414321f, 0.078968f, 0.229657f, 0.080187f, 0.287908f, 0.495325f, 1.558463f, 0.800218f, 1.395257f,
0.417370f, 1.208329f, 0.156365f, 1.642428f, 0.808647f, 4.186081f, 1.966330f, 4.735315f, 0.554730f, 2.322730f, 0.801285f, 3.217984f, 1.116655f, 5.058440f, 2.566210f, 5.004772f,
0.164829f, 0.565517f, 0.066399f, 0.567772f, 0.486992f, 2.987577f, 1.273299f, 2.496245f, 0.267153f, 1.325639f, 0.414931f, 1.356555f, 0.536057f, 2.877778f, 1.324633f, 2.103060f,
0.621519f, 1.380704f, 0.149763f, 1.902857f, 1.213884f, 4.821790f, 1.898485f, 5.530363f, 0.970871f, 3.119328f, 0.901985f, 4.381778f, 1.436267f, 4.992462f, 2.122953f, 5.008257f,
0.362139f, 0.498018f, 0.089311f, 0.757021f, 0.501963f, 1.234316f, 0.803493f, 1.561454f, 0.082442f, 0.163972f, 0.078391f, 0.254049f, 0.827323f, 1.780242f, 1.251588f, 1.969737f,
0.674276f, 1.335055f, 0.236550f, 2.242705f, 0.820492f, 2.904830f, 1.868273f, 4.061006f, 0.449862f, 1.288232f, 0.608490f, 2.205724f, 1.448798f, 4.488515f, 3.117806f, 5.488354f,
0.365885f, 0.858528f, 0.138020f, 1.065257f, 0.678941f, 2.848570f, 1.662299f, 2.941485f, 0.297682f, 1.010219f, 0.432949f, 1.277613f, 0.955640f, 3.508634f, 2.211297f, 3.168869f,
0.921677f, 1.400304f, 0.207968f, 2.385061f, 1.130577f, 3.071346f, 1.655764f, 4.353573f, 0.722715f, 1.588049f, 0.628743f, 2.756925f, 1.710532f, 4.066383f, 2.367581f, 5.041408f,
0.196952f, 0.258088f, 0.060090f, 0.486623f, 0.237805f, 0.557203f, 0.470918f, 0.874335f, 0.040181f, 0.076152f, 0.047266f, 0.146349f, 0.259586f, 0.532257f, 0.485826f, 0.730487f,
0.408822f, 0.771317f, 0.177433f, 1.607192f, 0.433346f, 1.461903f, 1.220716f, 2.535089f, 0.244435f, 0.666983f, 0.409026f, 1.416555f, 0.506785f, 1.496085f, 1.349209f, 2.269120f,
0.075923f, 0.169755f, 0.035431f, 0.261266f, 0.122723f, 0.490635f, 0.371721f, 0.628434f, 0.055357f, 0.179007f, 0.099602f, 0.280812f, 0.114405f, 0.400244f, 0.327500f, 0.448387f,
0.519248f, 0.751719f, 0.144946f, 1.588161f, 0.554830f, 1.436237f, 1.005246f, 2.525253f, 0.364880f, 0.763984f, 0.392708f, 1.645155f, 0.555964f, 1.259393f, 0.951994f, 1.936719f,
0.213435f, 0.340765f, 0.060652f, 0.545547f, 0.249989f, 0.713664f, 0.461081f, 0.950848f, 0.058185f, 0.134354f, 0.063749f, 0.219235f, 0.350614f, 0.875892f, 0.611168f, 1.020692f,
0.622672f, 1.431328f, 0.251704f, 2.532366f, 0.640257f, 2.631594f, 1.679832f, 3.874773f, 0.497474f, 1.653877f, 0.775336f, 2.982460f, 0.962037f, 3.460231f, 2.385498f, 4.456141f,
0.254860f, 0.694274f, 0.110776f, 0.907288f, 0.399621f, 1.946532f, 1.127382f, 2.116975f, 0.248302f, 0.978275f, 0.416112f, 1.303044f, 0.478647f, 2.040219f, 1.276184f, 1.940696f,
0.721424f, 1.272485f, 0.187566f, 2.282677f, 0.747774f, 2.358400f, 1.261870f, 3.520862f, 0.677405f, 1.728079f, 0.679048f, 3.159651f, 0.962733f, 2.657059f, 1.535413f, 3.469439f,
0.040064f, 0.063856f, 0.012114f, 0.099892f, 0.072635f, 0.207003f, 0.142553f, 0.269494f, 0.014974f, 0.034517f, 0.017457f, 0.055036f, 0.084927f, 0.211800f, 0.157527f, 0.241171f,
0.108401f, 0.248754f, 0.046627f, 0.430044f, 0.172530f, 0.707925f, 0.481674f, 1.018521f, 0.118736f, 0.394070f, 0.196915f, 0.694385f, 0.216121f, 0.776010f, 0.570243f, 0.976509f,
0.040724f, 0.110749f, 0.018835f, 0.141420f, 0.098841f, 0.480627f, 0.296713f, 0.510761f, 0.054396f, 0.213949f, 0.097001f, 0.278460f, 0.098696f, 0.419969f, 0.280009f, 0.390349f,
0.169814f, 0.299016f, 0.046980f, 0.524132f, 0.272453f, 0.857820f, 0.489228f, 1.251361f, 0.218611f, 0.556729f, 0.233184f, 0.994660f, 0.292429f, 0.805700f, 0.496267f, 1.027985f,
0.351802f, 0.383479f, 0.099614f, 0.741389f, 0.400580f, 0.780760f, 0.736190f, 1.256209f, 0.066003f, 0.104054f, 0.072056f, 0.205043f, 0.598914f, 1.021507f, 1.040256f, 1.437513f,
0.739405f, 1.160425f, 0.297823f, 2.479312f, 0.739117f, 2.074116f, 1.932276f, 3.687969f, 0.406550f, 0.922787f, 0.631360f, 2.009555f, 1.183907f, 2.907274f, 2.925156f, 4.521334f,
0.381679f, 0.709874f, 0.165305f, 1.120270f, 0.581809f, 1.934855f, 1.635488f, 2.541145f, 0.255915f, 0.688386f, 0.427337f, 1.107279f, 0.742871f, 2.161874f, 1.973586f, 2.483351f,
1.063239f, 1.280407f, 0.275448f, 2.773744f, 1.071389f, 2.307007f, 1.801504f, 4.159177f, 0.687083f, 1.196683f, 0.686286f, 2.642297f, 1.470446f, 2.770763f, 2.336752f, 4.369022f,
0.211295f, 0.385613f, 0.068163f, 0.553430f, 0.289746f, 0.945507f, 0.606680f, 1.129318f, 0.046745f, 0.123382f, 0.058141f, 0.180487f, 0.349013f, 0.996639f, 0.690652f, 1.041156f,
0.476779f, 1.252770f, 0.218794f, 1.986977f, 0.573966f, 2.696654f, 1.709558f, 3.559481f, 0.309124f, 1.174735f, 0.546938f, 1.899089f, 0.740696f, 3.045283f, 2.085034f, 3.515730f,
0.088817f, 0.276566f, 0.043825f, 0.324002f, 0.163048f, 0.907828f, 0.522186f, 0.885099f, 0.070223f, 0.316252f, 0.133596f, 0.377629f, 0.167725f, 0.817213f, 0.507672f, 0.696867f,
0.584912f, 1.179308f, 0.172640f, 1.896500f, 0.709814f, 2.558975f, 1.359799f, 3.424772f, 0.445710f, 1.299697f, 0.507213f, 2.130355f, 0.784867f, 2.476087f, 1.421024f, 2.898398f,
0.218830f, 0.486576f, 0.065751f, 0.592946f, 0.291092f, 1.157335f, 0.567681f, 1.173716f, 0.064690f, 0.208033f, 0.074941f, 0.258393f, 0.450508f, 1.567402f, 0.830334f, 1.390307f,
0.693993f, 2.221726f, 0.296623f, 2.992021f, 0.810436f, 4.639153f, 2.248269f, 5.199394f, 0.601247f, 2.783821f, 0.990810f, 3.821197f, 1.343757f, 6.731155f, 3.523108f, 6.598270f,
0.284929f, 1.080988f, 0.130948f, 1.075281f, 0.507401f, 3.442072f, 1.513534f, 2.849449f, 0.301024f, 1.651725f, 0.533396f, 1.674645f, 0.670629f, 3.981072f, 1.890598f, 2.882488f,
0.776640f, 1.907821f, 0.213502f, 2.605048f, 0.914257f, 4.015786f, 1.631287f, 4.563404f, 0.790796f, 2.809538f, 0.838174f, 3.910185f, 1.298877f, 4.992511f, 2.190310f, 4.962079f,
0.085892f, 0.190658f, 0.027461f, 0.227025f, 0.176853f, 0.701940f, 0.366998f, 0.695599f, 0.034811f, 0.111757f, 0.042912f, 0.135637f, 0.228181f, 0.792529f, 0.447513f, 0.686911f,
0.252632f, 0.807385f, 0.114898f, 1.062454f, 0.456656f, 2.609555f, 1.348014f, 2.857825f, 0.300072f, 1.386982f, 0.526185f, 1.860305f, 0.631226f, 3.156537f, 1.761026f, 3.023476f,
0.095202f, 0.360570f, 0.046557f, 0.350466f, 0.262422f, 1.777157f, 0.832945f, 1.437546f, 0.137896f, 0.755345f, 0.260001f, 0.748317f, 0.289151f, 1.713560f, 0.867395f, 1.212333f,
0.382263f, 0.937427f, 0.111820f, 1.250752f, 0.696544f, 3.054276f, 1.322471f, 3.391420f, 0.533637f, 1.892667f, 0.601855f, 2.573900f, 0.824977f, 3.165558f, 1.480318f, 3.074327f,
0.389420f, 0.591176f, 0.116589f, 0.869977f, 0.503590f, 1.366976f, 0.978578f, 1.674140f, 0.079226f, 0.173948f, 0.091452f, 0.260912f, 0.830838f, 1.973554f, 1.525845f, 2.114006f,
0.889726f, 1.944673f, 0.378922f, 3.162624f, 1.010081f, 3.947580f, 2.792092f, 5.342837f, 0.530487f, 1.676941f, 0.871076f, 2.779731f, 1.785356f, 6.105884f, 4.664167f, 7.227963f,
0.460692f, 1.193300f, 0.210968f, 1.433434f, 0.797557f, 3.693899f, 2.370535f, 3.692775f, 0.334962f, 1.254836f, 0.591409f, 1.536381f, 1.123724f, 4.554406f, 3.156603f, 3.982227f,
1.235772f, 2.072578f, 0.338504f, 3.417559f, 1.414240f, 4.241117f, 2.514369f, 5.820032f, 0.865971f, 2.100529f, 0.914570f, 3.530351f, 2.141852f, 5.620764f, 3.598910f, 6.746319f,
0.202673f, 0.383409f, 0.062380f, 0.568142f, 0.300374f, 1.016048f, 0.600060f, 1.252993f, 0.053032f, 0.145098f, 0.062933f, 0.219149f, 0.360034f, 1.065721f, 0.679752f, 1.149487f,
0.389314f, 1.060372f, 0.170454f, 1.736452f, 0.506533f, 2.466895f, 1.439444f, 3.361979f, 0.298548f, 1.176050f, 0.503976f, 1.962972f, 0.650455f, 2.772102f, 1.746949f, 3.304304f,
0.081503f, 0.263074f, 0.038370f, 0.318207f, 0.161707f, 0.933301f, 0.494115f, 0.939492f, 0.076217f, 0.355805f, 0.138343f, 0.438659f, 0.165527f, 0.836006f, 0.478017f, 0.736050f,
0.512480f, 1.071070f, 0.144317f, 1.778387f, 0.672155f, 2.511857f, 1.228540f, 3.470911f, 0.461890f, 1.396149f, 0.501494f, 2.362785f, 0.739566f, 2.418528f, 1.277533f, 2.922982f,
0.185458f, 0.427458f, 0.053165f, 0.537824f, 0.266628f, 1.098853f, 0.496102f, 1.150605f, 0.064844f, 0.216159f, 0.071671f, 0.277207f, 0.410616f, 1.480871f, 0.722063f, 1.356221f,
0.500691f, 1.661532f, 0.204178f, 2.310286f, 0.631933f, 3.749689f, 1.672594f, 4.339027f, 0.513058f, 2.462399f, 0.806665f, 3.489792f, 1.042628f, 5.413803f, 2.608101f, 5.479310f,
0.231017f, 0.908514f, 0.101296f, 0.933073f, 0.444628f, 3.126577f, 1.265398f, 2.672349f, 0.288673f, 1.641903f, 0.488028f, 1.718761f, 0.584769f, 3.598367f, 1.572860f, 2.690022f,
0.601226f, 1.530944f, 0.157692f, 2.158343f, 0.764935f, 3.482818f, 1.302195f, 4.086316f, 0.724071f, 2.666586f, 0.732218f, 3.831782f, 1.081385f, 4.308592f, 1.739833f, 4.421433f,
0.071701f, 0.164980f, 0.021872f, 0.202831f, 0.159560f, 0.656470f, 0.315911f, 0.671672f, 0.034371f, 0.114380f, 0.040424f, 0.143330f, 0.204855f, 0.737541f, 0.383321f, 0.660017f,
0.179530f, 0.594749f, 0.077903f, 0.808064f, 0.350733f, 2.077579f, 0.987805f, 2.349144f, 0.252216f, 1.208433f, 0.421964f, 1.673473f, 0.482423f, 2.500681f, 1.284099f, 2.473073f,
0.076031f, 0.298493f, 0.035474f, 0.299553f, 0.226506f, 1.590045f, 0.685939f, 1.327971f, 0.130254f, 0.739587f, 0.234318f, 0.756506f, 0.248348f, 1.525595f, 0.710792f, 1.114410f,
0.291484f, 0.740959f, 0.081351f, 1.020729f, 0.574036f, 2.609173f, 1.039840f, 2.991295f, 0.481280f, 1.769414f, 0.517884f, 2.484448f, 0.676533f, 2.690923f, 1.158221f, 2.698261f,
0.414263f, 0.651898f, 0.118333f, 0.990497f, 0.578994f, 1.629154f, 1.073451f, 2.060041f, 0.099684f, 0.226872f, 0.109784f, 0.351349f, 0.950539f, 2.340488f, 1.665534f, 2.588491f,
0.805733f, 1.825515f, 0.327397f, 3.065274f, 0.988619f, 4.005053f, 2.607309f, 5.596701f, 0.568209f, 1.861896f, 0.890183f, 3.186570f, 1.738819f, 6.164275f, 4.334042f, 7.534117f,
0.468855f, 1.258871f, 0.204848f, 1.561320f, 0.877258f, 4.211675f, 2.487722f, 4.347160f, 0.403201f, 1.565731f, 0.679210f, 1.979302f, 1.229933f, 5.167230f, 3.296337f, 4.664821f,
1.200817f, 2.087628f, 0.313828f, 3.554195f, 1.485251f, 4.617012f, 2.519390f, 6.541676f, 0.995269f, 2.502476f, 1.002868f, 4.342522f, 2.238321f, 6.088808f, 3.588340f, 7.545479f,
0.261192f, 0.431811f, 0.069409f, 0.640143f, 0.412163f, 1.218396f, 0.710893f, 1.503183f, 0.059364f, 0.141942f, 0.060823f, 0.214475f, 0.411269f, 1.063882f, 0.670403f, 1.148003f,
0.541738f, 1.289482f, 0.204786f, 2.112558f, 0.750482f, 3.194116f, 1.841324f, 4.354959f, 0.360846f, 1.242226f, 0.525920f, 2.074332f, 0.802280f, 2.988030f, 1.860335f, 3.563237f,
0.094944f, 0.267818f, 0.038591f, 0.324086f, 0.200570f, 1.011640f, 0.529137f, 1.018794f, 0.077119f, 0.314624f, 0.120857f, 0.388057f, 0.170916f, 0.754379f, 0.426146f, 0.664471f,
0.646490f, 1.180782f, 0.157182f, 1.961404f, 0.902812f, 2.948424f, 1.424687f, 4.075938f, 0.506105f, 1.336909f, 0.474429f, 2.263515f, 0.826952f, 2.363316f, 1.233327f, 2.857497f,
0.305503f, 0.615362f, 0.075614f, 0.774580f, 0.467649f, 1.684301f, 0.751253f, 1.764395f, 0.092781f, 0.270289f, 0.088539f, 0.346776f, 0.599548f, 1.889614f, 0.910262f, 1.731313f,
0.890564f, 2.582686f, 0.313550f, 3.592673f, 1.196768f, 6.205851f, 2.734839f, 7.184349f, 0.792647f, 3.324601f, 1.075993f, 4.713784f, 1.643781f, 7.459060f, 3.550107f, 7.552603f,
0.343988f, 1.182222f, 0.130226f, 1.214708f, 0.704920f, 4.331911f, 1.732099f, 3.704183f, 0.373357f, 1.855807f, 0.544961f, 1.943524f, 0.771796f, 4.150415f, 1.792303f, 3.104065f,
0.969457f, 2.157333f, 0.219534f, 3.042758f, 1.313283f, 5.225548f, 1.930245f, 6.133694f, 1.014121f, 3.263862f, 0.885425f, 4.692087f, 1.545574f, 5.381609f, 2.146938f, 5.524956f,
0.142852f, 0.287251f, 0.037623f, 0.353307f, 0.338478f, 1.216992f, 0.578592f, 1.245715f, 0.059480f, 0.172981f, 0.060398f, 0.216857f, 0.361766f, 1.138242f, 0.584448f, 1.019042f,
0.386211f, 1.118121f, 0.144691f, 1.519812f, 0.803354f, 4.158683f, 1.953460f, 4.704322f, 0.471280f, 1.973312f, 0.680744f, 2.733890f, 0.919888f, 4.167084f, 2.114014f, 4.122873f,
0.136925f, 0.469779f, 0.055158f, 0.471652f, 0.434325f, 2.664477f, 1.135595f, 2.226282f, 0.203752f, 1.011037f, 0.316459f, 1.034616f, 0.396435f, 2.128225f, 0.979616f, 1.555293f,
0.568457f, 1.262828f, 0.136977f, 1.740402f, 1.191970f, 4.734741f, 1.864211f, 5.430522f, 0.815265f, 2.619376f, 0.757419f, 3.679487f, 1.169474f, 4.065090f, 1.728605f, 4.077951f,
0.554589f, 0.762678f, 0.136773f, 1.159321f, 0.825300f, 2.029396f, 1.321059f, 2.567258f, 0.115914f, 0.230547f, 0.110219f, 0.357196f, 1.127932f, 2.427095f, 1.706354f, 2.685444f,
1.164692f, 2.306071f, 0.408599f, 3.873875f, 1.521572f, 5.386898f, 3.464642f, 7.530983f, 0.713422f, 2.042966f, 0.964984f, 3.497986f, 2.227887f, 6.902210f, 4.794403f, 8.439710f,
0.567365f, 1.331290f, 0.214023f, 1.651858f, 1.130303f, 4.742307f, 2.767400f, 4.896993f, 0.423803f, 1.438226f, 0.616380f, 1.818909f, 1.319243f, 4.843600f, 3.052652f, 4.374561f,
1.573591f, 2.390758f, 0.355067f, 4.072046f, 2.072326f, 5.629717f, 3.034983f, 7.980014f, 1.132854f, 2.489262f, 0.985553f, 4.321472f, 2.599898f, 6.180641f, 3.598570f, 7.662616f,
0.148224f, 0.194234f, 0.045223f, 0.366227f, 0.140650f, 0.329558f, 0.278525f, 0.517127f, 0.029899f, 0.056666f, 0.035172f, 0.108900f, 0.201111f, 0.412360f, 0.376388f, 0.565937f,
0.136090f, 0.256759f, 0.059064f, 0.535007f, 0.113367f, 0.382447f, 0.319351f, 0.663203f, 0.080452f, 0.219528f, 0.134625f, 0.466239f, 0.173666f, 0.512679f, 0.462348f, 0.777583f,
0.035985f, 0.080458f, 0.016793f, 0.123831f, 0.045713f, 0.182754f, 0.138461f, 0.234083f, 0.025942f, 0.083888f, 0.046677f, 0.131597f, 0.055820f, 0.195286f, 0.159793f, 0.218776f,
0.253532f, 0.367040f, 0.070773f, 0.775448f, 0.212902f, 0.551119f, 0.385738f, 0.969002f, 0.176153f, 0.368829f, 0.189588f, 0.794233f, 0.279449f, 0.633020f, 0.478509f, 0.973470f,
0.154229f, 0.246238f, 0.043827f, 0.394215f, 0.141966f, 0.405281f, 0.261842f, 0.539975f, 0.041571f, 0.095992f, 0.045547f, 0.156637f, 0.260812f, 0.651553f, 0.454631f, 0.759265f,
0.199019f, 0.457482f, 0.080450f, 0.809397f, 0.160824f, 0.661022f, 0.421952f, 0.973292f, 0.157213f, 0.522662f, 0.245024f, 0.942525f, 0.316537f, 1.138513f, 0.784896f, 1.466196f,
0.115983f, 0.315953f, 0.050412f, 0.412892f, 0.142923f, 0.696168f, 0.403203f, 0.757127f, 0.111726f, 0.440185f, 0.187234f, 0.586318f, 0.224235f, 0.955797f, 0.597864f, 0.909173f,
0.338215f, 0.596560f, 0.087934f, 1.070153f, 0.275508f, 0.868922f, 0.464920f, 1.297216f, 0.314002f, 0.801028f, 0.314764f, 1.464615f, 0.464628f, 1.282333f, 0.741011f, 1.674398f,
0.039597f, 0.063112f, 0.011973f, 0.098729f, 0.056418f, 0.160786f, 0.110726f, 0.209325f, 0.014633f, 0.033731f, 0.017060f, 0.053783f, 0.086409f, 0.215495f, 0.160274f, 0.245378f,
0.047389f, 0.108747f, 0.020384f, 0.188001f, 0.059275f, 0.243218f, 0.165486f, 0.349927f, 0.051323f, 0.170334f, 0.085115f, 0.300144f, 0.097261f, 0.349230f, 0.256628f, 0.439461f,
0.025349f, 0.068935f, 0.011724f, 0.088026f, 0.048351f, 0.235110f, 0.145144f, 0.249851f, 0.033478f, 0.131672f, 0.059698f, 0.171375f, 0.063241f, 0.269102f, 0.179421f, 0.250123f,
0.108890f, 0.191737f, 0.030125f, 0.336088f, 0.137299f, 0.432285f, 0.246539f, 0.630604f, 0.138601f, 0.352971f, 0.147841f, 0.630623f, 0.193033f, 0.531844f, 0.327587f, 0.678574f,
0.182021f, 0.198411f, 0.051540f, 0.383592f, 0.162883f, 0.317470f, 0.299347f, 0.510795f, 0.033765f, 0.053231f, 0.036862f, 0.104894f, 0.318996f, 0.544080f, 0.554066f, 0.765655f,
0.169215f, 0.265567f, 0.068158f, 0.567399f, 0.132933f, 0.373037f, 0.347527f, 0.663295f, 0.091993f, 0.208806f, 0.142862f, 0.454716f, 0.278916f, 0.684922f, 0.689135f, 1.065178f,
0.124369f, 0.231310f, 0.053864f, 0.365036f, 0.148989f, 0.495477f, 0.418815f, 0.650736f, 0.082450f, 0.221783f, 0.137679f, 0.356741f, 0.249187f, 0.725173f, 0.662015f, 0.833009f,
0.356907f, 0.429806f, 0.092462f, 0.931087f, 0.282639f, 0.608603f, 0.475249f, 1.097218f, 0.228043f, 0.397179f, 0.227778f, 0.876977f, 0.508125f, 0.957461f, 0.807485f, 1.509754f,
0.243180f, 0.443803f, 0.078449f, 0.636945f, 0.262070f, 0.855195f, 0.548732f, 1.021449f, 0.053193f, 0.140402f, 0.066162f, 0.205384f, 0.413502f, 1.180795f, 0.818269f, 1.233538f,
0.242711f, 0.637741f, 0.111380f, 1.011500f, 0.229626f, 1.078847f, 0.683941f, 1.424038f, 0.155592f, 0.591284f, 0.275292f, 0.955875f, 0.388160f, 1.595875f, 1.092658f, 1.842411f,
0.064376f, 0.200460f, 0.031765f, 0.234842f, 0.092877f, 0.517124f, 0.297451f, 0.504177f, 0.050326f, 0.226644f, 0.095743f, 0.270631f, 0.125148f, 0.609765f, 0.378800f, 0.519968f,
0.436747f, 0.880576f, 0.128908f, 1.416095f, 0.416529f, 1.501645f, 0.797950f, 2.009707f, 0.329060f, 0.959543f, 0.374466f, 1.572803f, 0.603300f, 1.903283f, 1.092292f, 2.227898f,
0.241818f, 0.537692f, 0.072658f, 0.655235f, 0.252798f, 1.005085f, 0.493002f, 1.019311f, 0.070681f, 0.227299f, 0.081881f, 0.282323f, 0.512487f, 1.783038f, 0.944568f, 1.581579f,
0.339213f, 1.085944f, 0.144984f, 1.462451f, 0.311313f, 1.782038f, 0.863628f, 1.997244f, 0.290571f, 1.345367f, 0.478840f, 1.846711f, 0.676138f, 3.386914f, 1.772722f, 3.320051f,
0.198294f, 0.752305f, 0.091132f, 0.748333f, 0.277514f, 1.882584f, 0.827802f, 1.558458f, 0.207136f, 1.136562f, 0.367033f, 1.152334f, 0.480455f, 2.852138f, 1.354471f, 2.065085f,
0.556805f, 1.367794f, 0.153068f, 1.867665f, 0.515125f, 2.262639f, 0.919126f, 2.571186f, 0.560571f, 1.991594f, 0.594155f, 2.771808f, 0.958625f, 3.684681f, 1.616540f, 3.662222f,
0.129822f, 0.288170f, 0.041507f, 0.343137f, 0.210072f, 0.833787f, 0.435932f, 0.826255f, 0.052023f, 0.167014f, 0.064129f, 0.202701f, 0.355035f, 1.233123f, 0.696301f, 1.068789f,
0.168895f, 0.539770f, 0.076814f, 0.710293f, 0.239926f, 1.371058f, 0.708245f, 1.501499f, 0.198352f, 0.916814f, 0.347815f, 1.229687f, 0.434420f, 2.172384f, 1.211968f, 2.080809f,
0.090622f, 0.343220f, 0.044317f, 0.333602f, 0.196311f, 1.329447f, 0.623105f, 1.075393f, 0.129783f, 0.710905f, 0.244704f, 0.704291f, 0.283339f, 1.679117f, 0.849960f, 1.187965f,
0.374849f, 0.919246f, 0.109651f, 1.226493f, 0.536790f, 2.353769f, 1.019159f, 2.613589f, 0.517396f, 1.835064f, 0.583538f, 2.495563f, 0.832787f, 3.195525f, 1.494332f, 3.103431f,
0.308122f, 0.467758f, 0.092249f, 0.688355f, 0.313144f, 0.850016f, 0.608502f, 1.041017f, 0.061980f, 0.136084f, 0.071545f, 0.204118f, 0.676736f, 1.607502f, 1.242834f, 1.721904f,
0.311383f, 0.680590f, 0.132614f, 1.106845f, 0.277816f, 1.085755f, 0.767946f, 1.469510f, 0.183568f, 0.580283f, 0.301424f, 0.961889f, 0.643223f, 2.199812f, 1.680394f, 2.604072f,
0.229565f, 0.594627f, 0.105126f, 0.714287f, 0.312333f, 1.446577f, 0.928331f, 1.446137f, 0.165034f, 0.618251f, 0.291384f, 0.756966f, 0.576438f, 2.336279f, 1.619246f, 2.042768f,
0.634372f, 1.063938f, 0.173768f, 1.754371f, 0.570545f, 1.710989f, 1.014369f, 2.347969f, 0.439533f, 1.066147f, 0.464200f, 1.791868f, 1.131860f, 2.970289f, 1.901841f, 3.565088f,
0.076664f, 0.145030f, 0.023596f, 0.214907f, 0.089293f, 0.302044f, 0.178382f, 0.372482f, 0.019834f, 0.054267f, 0.023537f, 0.081963f, 0.140196f, 0.414989f, 0.264693f, 0.447607f,
0.065137f, 0.177414f, 0.028519f, 0.290531f, 0.066604f, 0.324371f, 0.189272f, 0.442065f, 0.049389f, 0.194553f, 0.083372f, 0.324733f, 0.112033f, 0.477459f, 0.300890f, 0.569124f,
0.019416f, 0.062671f, 0.009141f, 0.075804f, 0.030274f, 0.174730f, 0.092507f, 0.175889f, 0.017952f, 0.083807f, 0.032586f, 0.103322f, 0.040593f, 0.205018f, 0.117226f, 0.180505f,
0.125769f, 0.262853f, 0.035417f, 0.436437f, 0.129636f, 0.484453f, 0.236944f, 0.669423f, 0.112077f, 0.338774f, 0.121687f, 0.573327f, 0.186840f, 0.611004f, 0.322750f, 0.738447f,
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0.669771f, 1.645294f, 0.184123f, 2.246580f, 0.788450f, 3.463193f, 1.406813f, 3.935455f, 0.681978f, 2.422931f, 0.722837f, 3.372122f, 1.120144f, 4.305515f, 1.888912f, 4.279271f,
0.068669f, 0.152428f, 0.021955f, 0.181503f, 0.141392f, 0.561191f, 0.293410f, 0.556121f, 0.027831f, 0.089348f, 0.034308f, 0.108440f, 0.182428f, 0.633615f, 0.357780f, 0.549176f,
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0.280833f, 0.688688f, 0.082150f, 0.918874f, 0.511721f, 2.243847f, 0.971564f, 2.491533f, 0.392041f, 1.390463f, 0.442157f, 1.890936f, 0.606076f, 2.325602f, 1.087527f, 2.258578f,
0.381787f, 0.579589f, 0.114304f, 0.852926f, 0.493720f, 1.340184f, 0.959399f, 1.641327f, 0.077673f, 0.170539f, 0.089660f, 0.255798f, 0.814554f, 1.934873f, 1.495940f, 2.072573f,
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0.360626f, 0.934105f, 0.165143f, 1.122079f, 0.624320f, 2.891550f, 1.855633f, 2.890670f, 0.262205f, 0.982274f, 0.462950f, 1.202665f, 0.879641f, 3.565147f, 2.470960f, 3.117251f,
1.113311f, 1.867192f, 0.304960f, 3.078889f, 1.274093f, 3.820835f, 2.265203f, 5.243284f, 0.780156f, 1.892373f, 0.823939f, 3.180504f, 1.929601f, 5.063763f, 3.242269f, 6.077779f,
0.186969f, 0.353701f, 0.057547f, 0.524119f, 0.277100f, 0.937320f, 0.553564f, 1.155905f, 0.048923f, 0.133855f, 0.058057f, 0.202168f, 0.332136f, 0.983144f, 0.627082f, 1.060420f,
0.246337f, 0.670946f, 0.107854f, 1.098733f, 0.320506f, 1.560917f, 0.910802f, 2.127278f, 0.188905f, 0.744141f, 0.318888f, 1.242062f, 0.411573f, 1.754036f, 1.105375f, 2.090785f,
0.060033f, 0.193773f, 0.028262f, 0.234383f, 0.119109f, 0.687444f, 0.363952f, 0.692004f, 0.056139f, 0.262076f, 0.101900f, 0.323104f, 0.121923f, 0.615779f, 0.352094f, 0.542154f,
0.434435f, 0.907958f, 0.122339f, 1.507559f, 0.569794f, 2.129330f, 1.041447f, 2.942331f, 0.391549f, 1.183531f, 0.425122f, 2.002960f, 0.626939f, 2.050213f, 1.082979f, 2.477845f,
0.176175f, 0.406062f, 0.050504f, 0.510904f, 0.253283f, 1.043852f, 0.471270f, 1.093014f, 0.061599f, 0.205340f, 0.068084f, 0.263332f, 0.390063f, 1.406749f, 0.685922f, 1.288338f,
0.326230f, 1.082590f, 0.133034f, 1.505293f, 0.411743f, 2.443152f, 1.089797f, 2.827141f, 0.334288f, 1.604404f, 0.525591f, 2.273813f, 0.679336f, 3.527423f, 1.699337f, 3.570105f,
0.175221f, 0.689086f, 0.076831f, 0.707713f, 0.337239f, 2.371432f, 0.959773f, 2.026911f, 0.218951f, 1.245343f, 0.370157f, 1.303638f, 0.443533f, 2.729273f, 1.192976f, 2.040316f,
0.524821f, 1.336390f, 0.137652f, 1.884058f, 0.667726f, 3.040217f, 1.136711f, 3.567022f, 0.632055f, 2.327713f, 0.639167f, 3.344835f, 0.943961f, 3.761051f, 1.518733f, 3.859552f,
0.058024f, 0.133509f, 0.017700f, 0.164139f, 0.129123f, 0.531243f, 0.255648f, 0.543545f, 0.027814f, 0.092561f, 0.032713f, 0.115989f, 0.165778f, 0.596850f, 0.310200f, 0.534113f,
0.099649f, 0.330117f, 0.043240f, 0.448518f, 0.194675f, 1.153166f, 0.548284f, 1.303899f, 0.139993f, 0.670744f, 0.234212f, 0.928865f, 0.267770f, 1.388010f, 0.712743f, 1.372686f,
0.049126f, 0.192866f, 0.022921f, 0.193550f, 0.146352f, 1.027377f, 0.443207f, 0.858043f, 0.084161f, 0.477870f, 0.151400f, 0.488802f, 0.160465f, 0.985734f, 0.459265f, 0.720055f,
0.216754f, 0.550994f, 0.060494f, 0.759037f, 0.426866f, 1.940241f, 0.773249f, 2.224396f, 0.357891f, 1.315777f, 0.385111f, 1.847492f, 0.503085f, 2.001032f, 0.861280f, 2.006489f,
0.411100f, 0.646920f, 0.117429f, 0.982935f, 0.574573f, 1.616715f, 1.065255f, 2.044312f, 0.098923f, 0.225139f, 0.108946f, 0.348666f, 0.943281f, 2.322618f, 1.652817f, 2.568727f,
0.548426f, 1.242546f, 0.222844f, 2.086394f, 0.672909f, 2.726060f, 1.774678f, 3.809423f, 0.386755f, 1.267309f, 0.605908f, 2.168955f, 1.183536f, 4.195746f, 2.949988f, 5.128135f,
0.371494f, 0.997458f, 0.162310f, 1.237102f, 0.695089f, 3.337093f, 1.971130f, 3.444444f, 0.319474f, 1.240597f, 0.538167f, 1.568287f, 0.974530f, 4.094221f, 2.611831f, 3.696141f,
1.095021f, 1.903702f, 0.286179f, 3.241060f, 1.354396f, 4.210240f, 2.297424f, 5.965335f, 0.907583f, 2.282001f, 0.914513f, 3.959933f, 2.041118f, 5.552366f, 3.272196f, 6.880700f,
0.166206f, 0.274778f, 0.044167f, 0.407347f, 0.262275f, 0.775312f, 0.452368f, 0.956533f, 0.037776f, 0.090323f, 0.038704f, 0.136479f, 0.261706f, 0.676989f, 0.426603f, 0.730518f,
0.236447f, 0.562806f, 0.089381f, 0.922045f, 0.327555f, 1.394102f, 0.803663f, 1.900762f, 0.157495f, 0.542181f, 0.229543f, 0.905361f, 0.350162f, 1.304153f, 0.811961f, 1.555208f,
0.048239f, 0.136072f, 0.019607f, 0.164661f, 0.101905f, 0.513992f, 0.268843f, 0.517626f, 0.039183f, 0.159853f, 0.061405f, 0.197163f, 0.086838f, 0.383283f, 0.216515f, 0.337603f,
0.378028f, 0.690450f, 0.091911f, 1.146911f, 0.527910f, 1.724060f, 0.833071f, 2.383362f, 0.295940f, 0.781743f, 0.277417f, 1.323567f, 0.483552f, 1.381924f, 0.721175f, 1.670891f,
0.200184f, 0.403222f, 0.049547f, 0.507552f, 0.306432f, 1.103656f, 0.492266f, 1.156138f, 0.060796f, 0.177110f, 0.058016f, 0.227229f, 0.392860f, 1.238189f, 0.596459f, 1.134460f,
0.400253f, 1.160757f, 0.140921f, 1.614683f, 0.537873f, 2.789144f, 1.229140f, 3.228918f, 0.356246f, 1.494202f, 0.483592f, 2.118553f, 0.738777f, 3.352384f, 1.595552f, 3.394425f,
0.179970f, 0.618522f, 0.068132f, 0.635518f, 0.368804f, 2.266394f, 0.906210f, 1.937976f, 0.195335f, 0.970932f, 0.285116f, 1.016824f, 0.403793f, 2.171438f, 0.937708f, 1.624003f,
0.583736f, 1.298989f, 0.132188f, 1.832128f, 0.790763f, 3.146445f, 1.162253f, 3.693264f, 0.610630f, 1.965260f, 0.533139f, 2.825233f, 0.930632f, 3.240413f, 1.292730f, 3.326727f,
0.079741f, 0.160344f, 0.021001f, 0.197217f, 0.188940f, 0.679330f, 0.322972f, 0.695363f, 0.033202f, 0.096559f, 0.033714f, 0.121051f, 0.201939f, 0.635371f, 0.326241f, 0.568833f,
0.147868f, 0.428092f, 0.055398f, 0.581887f, 0.307578f, 1.592225f, 0.747917f, 1.801132f, 0.180438f, 0.755517f, 0.260635f, 1.046718f, 0.352195f, 1.595442f, 0.809387f, 1.578514f,
0.061026f, 0.209377f, 0.024584f, 0.210212f, 0.193575f, 1.187537f, 0.506126f, 0.992236f, 0.090811f, 0.450611f, 0.141043f, 0.461120f, 0.176688f, 0.948533f, 0.436607f, 0.693182f,
0.291585f, 0.647756f, 0.070261f, 0.892723f, 0.611410f, 2.428642f, 0.956230f, 2.785537f, 0.418183f, 1.343585f, 0.388511f, 1.887359f, 0.599871f, 2.085151f, 0.886672f, 2.091748f,
0.379627f, 0.522068f, 0.093624f, 0.793578f, 0.564934f, 1.389161f, 0.904291f, 1.757338f, 0.079346f, 0.157814f, 0.075447f, 0.244508f, 0.772092f, 1.661394f, 1.168033f, 1.838239f,
0.546831f, 1.082715f, 0.191840f, 1.818810f, 0.714388f, 2.529183f, 1.626672f, 3.535845f, 0.334956f, 0.959186f, 0.453066f, 1.642327f, 1.046007f, 3.240632f, 2.251003f, 3.962499f,
0.310092f, 0.727614f, 0.116973f, 0.902819f, 0.617764f, 2.591896f, 1.512515f, 2.676439f, 0.231628f, 0.786059f, 0.336881f, 0.994120f, 0.721029f, 2.647258f, 1.668419f, 2.390906f,
0.989811f, 1.503820f, 0.223342f, 2.561374f, 1.303522f, 3.541170f, 1.909047f, 5.019540f, 0.712581f, 1.565780f, 0.619926f, 2.718266f, 1.635372f, 3.887709f, 2.263551f, 4.819892f,
0.323132f, 0.423436f, 0.098588f, 0.798385f, 0.306621f, 0.718447f, 0.607193f, 1.127351f, 0.065181f, 0.123533f, 0.076675f, 0.237406f, 0.438428f, 0.898958f, 0.820537f, 1.233759f,
0.273041f, 0.515142f, 0.118502f, 1.073400f, 0.227452f, 0.767315f, 0.640722f, 1.330603f, 0.161413f, 0.440445f, 0.270101f, 0.935427f, 0.348430f, 1.028603f, 0.927621f, 1.560087f,
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0.556827f, 0.873887f, 0.224283f, 1.867108f, 0.559530f, 1.570156f, 1.462780f, 2.791882f, 0.356715f, 0.809671f, 0.553968f, 1.763222f, 1.008637f, 2.476870f, 2.492104f, 3.851978f,
0.289092f, 0.537674f, 0.125205f, 0.848516f, 0.442985f, 1.473186f, 1.245250f, 1.934812f, 0.225841f, 0.607489f, 0.377118f, 0.977156f, 0.636547f, 1.852453f, 1.691114f, 2.127917f,
1.011112f, 1.217632f, 0.261943f, 2.637756f, 1.024205f, 2.205407f, 1.722167f, 3.976008f, 0.761284f, 1.325917f, 0.760401f, 2.927649f, 1.581963f, 2.980895f, 2.513969f, 4.700365f,
0.313634f, 0.572382f, 0.101178f, 0.821481f, 0.432338f, 1.410819f, 0.905245f, 1.685088f, 0.080842f, 0.213380f, 0.100552f, 0.312140f, 0.586078f, 1.673600f, 1.159773f, 1.748354f,
0.385650f, 1.013322f, 0.176975f, 1.607197f, 0.466696f, 2.192670f, 1.390055f, 2.894240f, 0.291325f, 1.107096f, 0.515446f, 1.789743f, 0.677790f, 2.786654f, 1.907956f, 3.217147f,
0.072256f, 0.224996f, 0.035653f, 0.263586f, 0.133341f, 0.742422f, 0.427044f, 0.723835f, 0.066561f, 0.299763f, 0.126631f, 0.357940f, 0.154367f, 0.752125f, 0.467238f, 0.641364f,
0.597444f, 1.204574f, 0.176338f, 1.937132f, 0.728824f, 2.627508f, 1.396217f, 3.516492f, 0.530430f, 1.546742f, 0.603623f, 2.535288f, 0.906946f, 2.861221f, 1.642052f, 3.349218f,
0.402323f, 0.894579f, 0.120884f, 1.090141f, 0.537984f, 2.138938f, 1.049165f, 2.169213f, 0.138571f, 0.445625f, 0.160529f, 0.553500f, 0.937021f, 3.260071f, 1.727028f, 2.891728f,
0.695287f, 2.225869f, 0.297176f, 2.997601f, 0.816205f, 4.672179f, 2.264275f, 5.236409f, 0.701829f, 3.249523f, 1.156562f, 4.460440f, 1.523032f, 7.629179f, 3.993137f, 7.478566f,
0.287108f, 1.089255f, 0.131949f, 1.083504f, 0.513963f, 3.486585f, 1.533107f, 2.886298f, 0.353410f, 1.939168f, 0.626220f, 1.966077f, 0.764487f, 4.538242f, 2.155196f, 3.285906f,
0.982560f, 2.413663f, 0.270110f, 3.295756f, 1.162731f, 5.107184f, 2.074633f, 5.803630f, 1.165662f, 4.141363f, 1.235500f, 5.763756f, 1.859029f, 7.145577f, 3.134901f, 7.102022f,
0.176993f, 0.392879f, 0.056588f, 0.467819f, 0.366344f, 1.454036f, 0.760220f, 1.440902f, 0.083578f, 0.268317f, 0.103027f, 0.325650f, 0.531940f, 1.847557f, 1.043250f, 1.601339f,
0.283683f, 0.906621f, 0.129020f, 1.193041f, 0.515473f, 2.945664f, 1.521637f, 3.225911f, 0.392590f, 1.814618f, 0.688419f, 2.433875f, 0.801879f, 4.009915f, 2.237123f, 3.840881f,
0.107521f, 0.407224f, 0.052581f, 0.395813f, 0.297931f, 2.017632f, 0.945654f, 1.632067f, 0.181453f, 0.993937f, 0.342128f, 0.984689f, 0.369444f, 2.189390f, 1.108257f, 1.548979f,
0.542048f, 1.329269f, 0.158561f, 1.773562f, 0.992877f, 4.353666f, 1.885095f, 4.834243f, 0.881639f, 3.126934f, 0.994343f, 4.252419f, 1.323415f, 5.078139f, 2.374704f, 4.931788f,
0.542293f, 0.823252f, 0.162357f, 1.211501f, 0.704961f, 1.913590f, 1.369883f, 2.343579f, 0.128544f, 0.282231f, 0.148381f, 0.423330f, 1.308916f, 3.109169f, 2.403842f, 3.330440f,
0.675172f, 1.475722f, 0.287546f, 2.399968f, 0.770523f, 3.011345f, 2.129900f, 4.075693f, 0.469031f, 1.482671f, 0.770164f, 2.457705f, 1.532716f, 5.241861f, 4.004157f, 6.205159f,
0.351616f, 0.910767f, 0.161018f, 1.094044f, 0.611914f, 2.834092f, 1.818760f, 2.833230f, 0.297866f, 1.115869f, 0.525914f, 1.366234f, 0.970277f, 3.932495f, 2.725564f, 3.438448f,
1.184204f, 1.986089f, 0.324379f, 3.274944f, 1.362331f, 4.085449f, 2.422081f, 5.606411f, 0.966853f, 2.345232f, 1.021114f, 3.941622f, 2.321969f, 6.093437f, 3.901557f, 7.313645f,
0.135791f, 0.256884f, 0.041795f, 0.380655f, 0.202306f, 0.684322f, 0.404148f, 0.843907f, 0.041398f, 0.113267f, 0.049127f, 0.171073f, 0.272896f, 0.807788f, 0.515234f, 0.871280f,
0.142140f, 0.387146f, 0.062233f, 0.633985f, 0.185907f, 0.905396f, 0.528303f, 1.233908f, 0.126999f, 0.500278f, 0.214385f, 0.835025f, 0.268666f, 1.144997f, 0.721565f, 1.364820f,
0.029929f, 0.096604f, 0.014090f, 0.116849f, 0.059692f, 0.344515f, 0.182396f, 0.346801f, 0.032609f, 0.152229f, 0.059189f, 0.187677f, 0.068764f, 0.347299f, 0.198581f, 0.305775f,
0.236278f, 0.493815f, 0.066537f, 0.819922f, 0.311521f, 1.164160f, 0.569387f, 1.608649f, 0.248115f, 0.749975f, 0.269390f, 1.269228f, 0.385747f, 1.261468f, 0.666342f, 1.524584f,
0.153905f, 0.354732f, 0.044120f, 0.446321f, 0.222426f, 0.916682f, 0.413857f, 0.959855f, 0.062697f, 0.209002f, 0.069298f, 0.268029f, 0.385498f, 1.390284f, 0.677894f, 1.273260f,
0.226422f, 0.751377f, 0.092333f, 1.044756f, 0.287271f, 1.704574f, 0.760346f, 1.972481f, 0.270324f, 1.297408f, 0.425022f, 1.838728f, 0.533406f, 2.769685f, 1.334297f, 2.803199f,
0.105073f, 0.413219f, 0.046073f, 0.424389f, 0.203290f, 1.429517f, 0.578558f, 1.221837f, 0.152976f, 0.870092f, 0.258620f, 0.910821f, 0.300893f, 1.851539f, 0.809315f, 1.384150f,
0.343334f, 0.874255f, 0.090051f, 1.232536f, 0.439112f, 1.999316f, 0.747527f, 2.345755f, 0.481758f, 1.774205f, 0.487179f, 2.549464f, 0.698616f, 2.783514f, 1.123998f, 2.856414f,
0.066691f, 0.153453f, 0.020344f, 0.188659f, 0.149190f, 0.613805f, 0.295379f, 0.628018f, 0.037248f, 0.123955f, 0.043808f, 0.155328f, 0.215561f, 0.776084f, 0.403353f, 0.694508f,
0.090996f, 0.301452f, 0.039485f, 0.409572f, 0.178703f, 1.058557f, 0.503301f, 1.196923f, 0.148945f, 0.713636f, 0.249189f, 0.988263f, 0.276626f, 1.433912f, 0.736313f, 1.418081f,
0.038759f, 0.152167f, 0.018084f, 0.152707f, 0.116074f, 0.814827f, 0.351513f, 0.680526f, 0.077365f, 0.439281f, 0.139174f, 0.449331f, 0.143227f, 0.879838f, 0.409926f, 0.642700f,
0.186565f, 0.474252f, 0.052069f, 0.653319f, 0.369340f, 1.678764f, 0.669042f, 1.924624f, 0.358907f, 1.319513f, 0.386204f, 1.852738f, 0.489872f, 1.948477f, 0.838660f, 1.953791f,
0.260395f, 0.409766f, 0.074381f, 0.622600f, 0.365849f, 1.029413f, 0.678282f, 1.301678f, 0.073005f, 0.166152f, 0.080402f, 0.257314f, 0.675935f, 1.664338f, 1.184374f, 1.840695f,
0.275987f, 0.625292f, 0.112143f, 1.049946f, 0.340407f, 1.379042f, 0.897763f, 1.927087f, 0.226765f, 0.743057f, 0.355260f, 1.271716f, 0.673800f, 2.388684f, 1.679461f, 2.919504f,
0.161523f, 0.433689f, 0.070572f, 0.537884f, 0.303806f, 1.458558f, 0.861530f, 1.505478f, 0.161841f, 0.628468f, 0.272628f, 0.794471f, 0.479355f, 2.013882f, 1.284718f, 1.818073f,
0.519403f, 0.902986f, 0.135744f, 1.537337f, 0.645802f, 2.007522f, 1.095456f, 2.844385f, 0.501577f, 1.261150f, 0.505406f, 2.188462f, 1.095290f, 2.979471f, 1.755902f, 3.692272f,
0.337912f, 0.558647f, 0.089796f, 0.828173f, 0.536025f, 1.584545f, 0.924528f, 1.954914f, 0.089482f, 0.213955f, 0.091681f, 0.323289f, 0.601934f, 1.557101f, 0.981203f, 1.680221f,
0.381923f, 0.909078f, 0.144373f, 1.489342f, 0.531860f, 2.263644f, 1.304931f, 3.086324f, 0.296399f, 1.020365f, 0.431991f, 1.703857f, 0.639868f, 2.383141f, 1.483734f, 2.841905f,
0.067321f, 0.189900f, 0.027363f, 0.229797f, 0.142963f, 0.721079f, 0.377159f, 0.726178f, 0.063712f, 0.259923f, 0.099845f, 0.320590f, 0.137103f, 0.605137f, 0.341840f, 0.533016f,
0.575543f, 1.051200f, 0.139933f, 1.746156f, 0.807951f, 2.638624f, 1.274991f, 3.647666f, 0.524960f, 1.386714f, 0.492103f, 2.347839f, 0.832866f, 2.380218f, 1.242147f, 2.877933f,
0.489544f, 0.986069f, 0.121165f, 1.241205f, 0.753301f, 2.713117f, 1.210138f, 2.842133f, 0.173224f, 0.504633f, 0.165303f, 0.647434f, 1.086877f, 3.425542f, 1.650146f, 3.138569f,
0.777649f, 2.255227f, 0.273795f, 3.137157f, 1.050510f, 5.447430f, 2.400613f, 6.306345f, 0.806432f, 3.382418f, 1.094706f, 4.795760f, 1.623834f, 7.368546f, 3.507027f, 7.460953f,
0.302108f, 1.038286f, 0.114371f, 1.066817f, 0.622342f, 3.824452f, 1.529193f, 3.270259f, 0.382043f, 1.898978f, 0.557638f, 1.988735f, 0.766831f, 4.123715f, 1.780773f, 3.084097f,
1.068998f, 2.378843f, 0.242076f, 3.355182f, 1.455722f, 5.792315f, 2.139601f, 6.798959f, 1.302890f, 4.193238f, 1.137548f, 6.028147f, 1.928047f, 6.713359f, 2.678226f, 6.892179f,
0.256567f, 0.515910f, 0.067571f, 0.634549f, 0.611104f, 2.197214f, 1.044617f, 2.249072f, 0.124467f, 0.361977f, 0.126388f, 0.453791f, 0.735056f, 2.312740f, 1.187513f, 2.070543f,
0.377989f, 1.094317f, 0.141611f, 1.487457f, 0.790375f, 4.091496f, 1.921901f, 4.628320f, 0.537406f, 2.250192f, 0.776261f, 3.117488f, 1.018517f, 4.613877f, 2.340677f, 4.564925f,
0.134783f, 0.462432f, 0.054296f, 0.464276f, 0.429774f, 2.636561f, 1.123697f, 2.202956f, 0.233682f, 1.159552f, 0.362945f, 1.186595f, 0.441474f, 2.370013f, 1.090910f, 1.731990f,
0.702559f, 1.560734f, 0.169290f, 2.150969f, 1.480886f, 5.882374f, 2.316069f, 6.746802f, 1.173958f, 3.771827f, 1.090662f, 5.298356f, 1.635137f, 5.683737f, 2.416905f, 5.701719f,
0.673126f, 0.925693f, 0.166007f, 1.407115f, 1.006953f, 2.476078f, 1.611832f, 3.132327f, 0.163920f, 0.326028f, 0.155866f, 0.505129f, 1.548774f, 3.332665f, 2.343009f, 3.687406f,
0.770333f, 1.525247f, 0.270249f, 2.562200f, 1.011653f, 3.581605f, 2.303548f, 5.007151f, 0.549773f, 1.574337f, 0.743630f, 2.695594f, 1.667015f, 5.164575f, 3.587410f, 6.315009f,
0.377424f, 0.885604f, 0.142373f, 1.098852f, 0.755846f, 3.171232f, 1.850590f, 3.274673f, 0.328473f, 1.114713f, 0.477733f, 1.409765f, 0.992820f, 3.645139f, 2.297329f, 3.292156f,
1.314284f, 1.996793f, 0.296556f, 3.401027f, 1.739911f, 4.726674f, 2.548152f, 6.699968f, 1.102403f, 2.422351f, 0.959061f, 4.205312f, 2.456591f, 5.839962f, 3.400216f, 7.240250f,
0.282075f, 0.369634f, 0.086062f, 0.696942f, 0.317235f, 0.743315f, 0.628210f, 1.166373f, 0.062680f, 0.118793f, 0.073733f, 0.228297f, 0.417612f, 0.856276f, 0.781579f, 1.175181f,
0.327685f, 0.618237f, 0.142218f, 1.288219f, 0.323528f, 1.091430f, 0.911364f, 1.892651f, 0.213398f, 0.582295f, 0.357091f, 1.236693f, 0.456282f, 1.346996f, 1.214756f, 2.042995f,
0.071538f, 0.159949f, 0.033385f, 0.246175f, 0.107707f, 0.430601f, 0.326237f, 0.551539f, 0.056812f, 0.183712f, 0.102220f, 0.288193f, 0.121086f, 0.423618f, 0.346625f, 0.474572f,
0.465361f, 0.673706f, 0.129904f, 1.423343f, 0.463160f, 1.198937f, 0.839156f, 2.108023f, 0.356182f, 0.745771f, 0.383346f, 1.605937f, 0.559693f, 1.267840f, 0.958379f, 1.949709f,
0.382560f, 0.610785f, 0.108712f, 0.977835f, 0.417359f, 1.191470f, 0.769779f, 1.587451f, 0.113592f, 0.262295f, 0.124455f, 0.428007f, 0.705912f, 1.763487f, 1.230502f, 2.055020f,
0.624612f, 1.435788f, 0.252489f, 2.540257f, 0.598220f, 2.458813f, 1.569541f, 3.620369f, 0.543536f, 1.807011f, 0.847125f, 3.258609f, 1.084004f, 3.898919f, 2.687931f, 5.021091f,
0.300533f, 0.818693f, 0.130628f, 1.069881f, 0.438929f, 2.137998f, 1.238275f, 2.325206f, 0.318916f, 1.256486f, 0.534450f, 1.673617f, 0.634006f, 2.702435f, 1.690409f, 2.570608f,
0.809161f, 1.427240f, 0.210377f, 2.560287f, 0.781215f, 2.463867f, 1.318301f, 3.678314f, 0.827560f, 2.111127f, 0.829566f, 3.860024f, 1.212936f, 3.347600f, 1.934450f, 4.371108f,
0.087606f, 0.139631f, 0.026490f, 0.218431f, 0.147939f, 0.421613f, 0.290345f, 0.548891f, 0.035663f, 0.082209f, 0.041578f, 0.131080f, 0.208601f, 0.520231f, 0.386923f, 0.592373f,
0.132658f, 0.304418f, 0.057061f, 0.526275f, 0.196662f, 0.806943f, 0.549045f, 1.160981f, 0.158267f, 0.525267f, 0.262473f, 0.925564f, 0.297087f, 1.066731f, 0.783876f, 1.342345f,
0.058586f, 0.159323f, 0.027096f, 0.203446f, 0.132444f, 0.644024f, 0.397585f, 0.684403f, 0.085235f, 0.335239f, 0.151993f, 0.436323f, 0.159487f, 0.678647f, 0.452479f, 0.630783f,
0.232363f, 0.409154f, 0.064285f, 0.717189f, 0.347248f, 1.093312f, 0.623534f, 1.594891f, 0.325815f, 0.829742f, 0.347535f, 1.482429f, 0.449471f, 1.238381f, 0.762775f, 1.580038f,
0.407448f, 0.444136f, 0.115370f, 0.858658f, 0.432135f, 0.842262f, 0.794181f, 1.355163f, 0.083261f, 0.131262f, 0.090897f, 0.258658f, 0.779160f, 1.328934f, 1.353326f, 1.870139f,
0.479263f, 0.752157f, 0.193041f, 1.607026f, 0.446232f, 1.252218f, 1.166585f, 2.226560f, 0.287020f, 0.651478f, 0.445734f, 1.418724f, 0.861980f, 2.116730f, 2.129750f, 3.291897f,
0.290823f, 0.540894f, 0.125955f, 0.853598f, 0.412921f, 1.373203f, 1.160736f, 1.803498f, 0.212390f, 0.571307f, 0.354656f, 0.918956f, 0.635818f, 1.850330f, 1.689176f, 2.125479f,
0.770577f, 0.927968f, 0.199629f, 2.010255f, 0.723248f, 1.557361f, 1.216118f, 2.807680f, 0.542376f, 0.944649f, 0.541747f, 2.085801f, 1.197076f, 2.255653f, 1.902328f, 3.556781f,
0.267812f, 0.488756f, 0.086396f, 0.701461f, 0.342069f, 1.116250f, 0.716236f, 1.333254f, 0.064533f, 0.170333f, 0.080266f, 0.249169f, 0.496902f, 1.418950f, 0.983306f, 1.482330f,
0.338202f, 0.888649f, 0.155201f, 1.409456f, 0.379228f, 1.781720f, 1.129531f, 2.351802f, 0.238835f, 0.907622f, 0.422575f, 1.467272f, 0.590183f, 2.426467f, 1.661345f, 2.801317f,
0.074062f, 0.230620f, 0.036545f, 0.270175f, 0.126639f, 0.705110f, 0.405582f, 0.687457f, 0.063780f, 0.287235f, 0.121339f, 0.342981f, 0.157103f, 0.765458f, 0.475520f, 0.652733f,
0.463919f, 0.935361f, 0.136928f, 1.504197f, 0.524387f, 1.890486f, 1.004575f, 2.530108f, 0.385045f, 1.122796f, 0.438176f, 1.840392f, 0.699255f, 2.206002f, 1.266022f, 2.582248f,
0.347118f, 0.771830f, 0.104297f, 0.940558f, 0.430087f, 1.709955f, 0.838746f, 1.734158f, 0.111767f, 0.359426f, 0.129478f, 0.446434f, 0.802715f, 2.792793f, 1.479487f, 2.477246f,
0.616089f, 1.972325f, 0.263325f, 2.656151f, 0.670135f, 3.836032f, 1.859053f, 4.299285f, 0.581363f, 2.691757f, 0.958043f, 3.694826f, 1.339975f, 6.712211f, 3.513193f, 6.579701f,
0.297347f, 1.128102f, 0.136655f, 1.122146f, 0.493212f, 3.345821f, 1.471211f, 2.769769f, 0.342164f, 1.877463f, 0.606294f, 1.903516f, 0.786136f, 4.666758f, 2.216228f, 3.378957f,
0.770906f, 1.893733f, 0.211925f, 2.585812f, 0.845288f, 3.712849f, 1.508228f, 4.219156f, 0.854973f, 3.037545f, 0.906196f, 4.227513f, 1.448229f, 5.566577f, 2.442164f, 5.532647f,
0.166216f, 0.368955f, 0.053143f, 0.439332f, 0.318778f, 1.265244f, 0.661513f, 1.253815f, 0.073375f, 0.235560f, 0.090449f, 0.285893f, 0.496006f, 1.722749f, 0.972776f, 1.493164f,
0.273605f, 0.874414f, 0.124437f, 1.150659f, 0.460660f, 2.632439f, 1.359835f, 2.882886f, 0.353971f, 1.636115f, 0.620699f, 2.194457f, 0.767908f, 3.840037f, 2.142349f, 3.678164f,
0.121206f, 0.459055f, 0.059273f, 0.446191f, 0.311194f, 2.107448f, 0.987751f, 1.704719f, 0.191220f, 1.047436f, 0.360543f, 1.037690f, 0.413512f, 2.450547f, 1.240453f, 1.733747f,
0.462906f, 1.135187f, 0.135410f, 1.514610f, 0.785658f, 3.445033f, 1.491665f, 3.825311f, 0.703854f, 2.496379f, 0.793831f, 3.394907f, 1.122172f, 4.305940f, 2.013598f, 4.181843f,
0.399143f, 0.605937f, 0.119500f, 0.891699f, 0.480777f, 1.305050f, 0.934248f, 1.598299f, 0.088447f, 0.194194f, 0.102096f, 0.291280f, 0.956567f, 2.272207f, 1.756748f, 2.433914f,
0.510370f, 1.115514f, 0.217359f, 1.814162f, 0.539685f, 2.109187f, 1.491811f, 2.854670f, 0.331444f, 1.047738f, 0.544241f, 1.736752f, 1.150380f, 3.934279f, 3.005319f, 4.657281f,
0.310655f, 0.804669f, 0.142260f, 0.966597f, 0.500939f, 2.320108f, 1.488914f, 2.319402f, 0.246019f, 0.921640f, 0.434372f, 1.128426f, 0.851168f, 3.449749f, 2.390978f, 3.016350f,
0.792611f, 1.329329f, 0.217113f, 2.191986f, 0.844890f, 2.533713f, 1.502126f, 3.476983f, 0.604967f, 1.467429f, 0.638918f, 2.466301f, 1.543118f, 4.049534f, 2.592870f, 4.860451f,
0.140778f, 0.266318f, 0.043330f, 0.394635f, 0.194337f, 0.657368f, 0.388230f, 0.810667f, 0.040122f, 0.109776f, 0.047613f, 0.165800f, 0.280912f, 0.831515f, 0.530368f, 0.896873f,
0.151341f, 0.412206f, 0.066262f, 0.675024f, 0.183408f, 0.893228f, 0.521203f, 1.217325f, 0.126409f, 0.497953f, 0.213389f, 0.831145f, 0.284028f, 1.210469f, 0.762824f, 1.442860f,
0.037245f, 0.120219f, 0.017534f, 0.145414f, 0.068830f, 0.397258f, 0.210319f, 0.399893f, 0.037936f, 0.177098f, 0.068859f, 0.218338f, 0.084967f, 0.429134f, 0.245373f, 0.377825f,
0.222755f, 0.465551f, 0.062729f, 0.772993f, 0.272129f, 1.016951f, 0.497387f, 1.405233f, 0.218672f, 0.660979f, 0.237422f, 1.118614f, 0.361089f, 1.180833f, 0.623749f, 1.427130f,
0.161218f, 0.371588f, 0.046216f, 0.467529f, 0.215889f, 0.889740f, 0.401693f, 0.931644f, 0.061397f, 0.204667f, 0.067861f, 0.262470f, 0.400951f, 1.446016f, 0.705068f, 1.324300f,
0.243588f, 0.808340f, 0.099333f, 1.123961f, 0.286360f, 1.699168f, 0.757934f, 1.966226f, 0.271868f, 1.304820f, 0.427450f, 1.849233f, 0.569775f, 2.958530f, 1.425273f, 2.994328f,
0.132120f, 0.519585f, 0.057932f, 0.533630f, 0.236852f, 1.665518f, 0.674073f, 1.423552f, 0.179820f, 1.022772f, 0.304002f, 1.070648f, 0.375662f, 2.311629f, 1.010422f, 1.728099f,
0.327052f, 0.832795f, 0.085780f, 1.174084f, 0.387578f, 1.764676f, 0.659797f, 2.070457f, 0.429009f, 1.579941f, 0.433836f, 2.270315f, 0.660765f, 2.632705f, 1.063100f, 2.701654f,
0.076040f, 0.174964f, 0.023195f, 0.215105f, 0.157615f, 0.648466f, 0.312059f, 0.663482f, 0.039702f, 0.132122f, 0.046694f, 0.165562f, 0.244035f, 0.878599f, 0.456633f, 0.786248f,
0.106554f, 0.352994f, 0.046237f, 0.479601f, 0.193894f, 1.148542f, 0.546085f, 1.298671f, 0.163047f, 0.781201f, 0.272782f, 1.081830f, 0.321625f, 1.667172f, 0.856092f, 1.648766f,
0.053047f, 0.208261f, 0.024751f, 0.209000f, 0.147200f, 1.033328f, 0.445773f, 0.863012f, 0.098985f, 0.562042f, 0.178068f, 0.574900f, 0.194635f, 1.195640f, 0.557062f, 0.873386f,
0.193438f, 0.491724f, 0.053987f, 0.677388f, 0.354831f, 1.612819f, 0.642760f, 1.849021f, 0.347881f, 1.278978f, 0.374340f, 1.795823f, 0.504317f, 2.005933f, 0.863390f, 2.011403f,
0.232694f, 0.366174f, 0.066468f, 0.556367f, 0.302927f, 0.852366f, 0.561625f, 1.077804f, 0.060987f, 0.138802f, 0.067167f, 0.214958f, 0.599745f, 1.476736f, 1.050872f, 1.633214f,
0.253290f, 0.573867f, 0.102920f, 0.963597f, 0.289475f, 1.172708f, 0.763439f, 1.638753f, 0.194554f, 0.637512f, 0.304798f, 1.091078f, 0.614000f, 2.176687f, 1.530408f, 2.660397f,
0.173262f, 0.465207f, 0.075700f, 0.576975f, 0.301959f, 1.449691f, 0.856293f, 1.496326f, 0.162291f, 0.630215f, 0.273386f, 0.796680f, 0.510546f, 2.144920f, 1.368311f, 1.936370f,
0.422081f, 0.733791f, 0.110309f, 1.249282f, 0.486267f, 1.511596f, 0.824841f, 2.141725f, 0.381036f, 0.958067f, 0.383946f, 1.662523f, 0.883750f, 2.404028f, 1.416775f, 2.979161f,
0.362667f, 0.599574f, 0.096375f, 0.888845f, 0.533058f, 1.575773f, 0.919410f, 1.944092f, 0.089780f, 0.214667f, 0.091986f, 0.324364f, 0.641450f, 1.659323f, 1.045618f, 1.790526f,
0.420975f, 1.002034f, 0.159135f, 1.641632f, 0.543204f, 2.311922f, 1.332762f, 3.152148f, 0.305419f, 1.051416f, 0.445137f, 1.755706f, 0.700295f, 2.608195f, 1.623852f, 3.110283f,
0.086730f, 0.244650f, 0.035253f, 0.296051f, 0.170659f, 0.860771f, 0.450225f, 0.866858f, 0.076732f, 0.313043f, 0.120250f, 0.386107f, 0.175378f, 0.774076f, 0.437273f, 0.681821f,
0.561723f, 1.025959f, 0.136573f, 1.704227f, 0.730656f, 2.386194f, 1.153016f, 3.298704f, 0.478969f, 1.265228f, 0.448991f, 2.142152f, 0.807103f, 2.306589f, 1.203723f, 2.788908f,
0.530877f, 1.069324f, 0.131395f, 1.346000f, 0.756927f, 2.726177f, 1.215963f, 2.855815f, 0.175609f, 0.511581f, 0.167579f, 0.656348f, 1.170283f, 3.688416f, 1.776778f, 3.379421f,
0.866087f, 2.511702f, 0.304932f, 3.493930f, 1.084081f, 5.621514f, 2.477329f, 6.507877f, 0.839620f, 3.521620f, 1.139758f, 4.993127f, 1.795678f, 8.148329f, 3.878161f, 8.250515f,
0.393260f, 1.351558f, 0.148879f, 1.388697f, 0.750638f, 4.612864f, 1.844437f, 3.944424f, 0.464908f, 2.310867f, 0.678590f, 2.420092f, 0.991120f, 5.329851f, 2.301627f, 3.986158f,
1.054188f, 2.345885f, 0.238722f, 3.308697f, 1.330158f, 5.292696f, 1.955049f, 6.212511f, 1.201119f, 3.865698f, 1.048692f, 5.557279f, 1.887850f, 6.573395f, 2.622389f, 6.748488f,
0.302841f, 0.608959f, 0.079759f, 0.748995f, 0.668364f, 2.403092f, 1.142497f, 2.459809f, 0.137343f, 0.399422f, 0.139462f, 0.500734f, 0.861477f, 2.710503f, 1.391751f, 2.426651f,
0.458215f, 1.326580f, 0.171667f, 1.803162f, 0.887784f, 4.595748f, 2.158763f, 5.198732f, 0.609018f, 2.550041f, 0.879702f, 3.532909f, 1.225936f, 5.553479f, 2.817350f, 5.494559f,
0.190970f, 0.655206f, 0.076930f, 0.657819f, 0.564227f, 3.461398f, 1.475241f, 2.892142f, 0.309522f, 1.535881f, 0.480738f, 1.571700f, 0.621074f, 3.334185f, 1.534716f, 2.436600f,
0.754112f, 1.675260f, 0.181713f, 2.308807f, 1.472851f, 5.850457f, 2.303502f, 6.710195f, 1.177994f, 3.784796f, 1.094412f, 5.316574f, 1.742675f, 6.057539f, 2.575858f, 6.076704f,
0.622716f, 0.856368f, 0.153575f, 1.301737f, 0.863151f, 2.122470f, 1.381647f, 2.685000f, 0.141763f, 0.281959f, 0.134797f, 0.436850f, 1.422625f, 3.061217f, 2.152170f, 3.387064f,
0.731894f, 1.449138f, 0.256764f, 2.434348f, 0.890604f, 3.153052f, 2.027920f, 4.408025f, 0.488304f, 1.398314f, 0.660486f, 2.394206f, 1.572600f, 4.872066f, 3.384227f, 5.957341f,
0.419120f, 0.983442f, 0.158101f, 1.220250f, 0.777725f, 3.263031f, 1.904160f, 3.369466f, 0.340994f, 1.157203f, 0.495943f, 1.463503f, 1.094684f, 4.019133f, 2.533036f, 3.629933f,
1.105661f, 1.679831f, 0.249482f, 2.861164f, 1.356262f, 3.684445f, 1.986286f, 5.222630f, 0.866983f, 1.905054f, 0.754252f, 3.307260f, 2.051986f, 4.878111f, 2.840195f, 6.047769f,
0.445386f, 0.583638f, 0.135888f, 1.100445f, 0.537770f, 1.260054f, 1.064930f, 1.977214f, 0.090865f, 0.172209f, 0.106888f, 0.330952f, 0.587024f, 1.203642f, 1.098642f, 1.651918f,
0.583587f, 1.101043f, 0.253282f, 2.294240f, 0.618594f, 2.086842f, 1.742552f, 3.618797f, 0.348926f, 0.952107f, 0.583877f, 2.022109f, 0.723427f, 2.135636f, 1.925973f, 3.239131f,
0.114375f, 0.255727f, 0.053375f, 0.393585f, 0.184876f, 0.739117f, 0.559979f, 0.946705f, 0.083392f, 0.269665f, 0.150045f, 0.423029f, 0.172345f, 0.602948f, 0.493362f, 0.675473f,
0.819179f, 1.185931f, 0.228671f, 2.505524f, 0.875314f, 2.265844f, 1.585902f, 3.983904f, 0.575644f, 1.205280f, 0.619546f, 2.595439f, 0.877103f, 1.986851f, 1.501891f, 3.055418f,
0.473585f, 0.756112f, 0.134578f, 1.210497f, 0.554693f, 1.583528f, 1.023078f, 2.109809f, 0.129104f, 0.298113f, 0.141450f, 0.486455f, 0.777966f, 1.943491f, 1.356102f, 2.264781f,
0.872140f, 2.004777f, 0.352548f, 3.546937f, 0.896770f, 3.685919f, 2.352843f, 5.427167f, 0.696783f, 2.316489f, 1.085968f, 4.177357f, 1.347469f, 4.846543f, 3.341227f, 6.241456f,
0.376715f, 1.026223f, 0.163741f, 1.341084f, 0.590689f, 2.877215f, 1.666411f, 3.129152f, 0.367021f, 1.446012f, 0.615065f, 1.926062f, 0.707499f, 3.015698f, 1.886359f, 2.868590f,
1.116737f, 1.969757f, 0.290345f, 3.533494f, 1.157525f, 3.650711f, 1.953326f, 5.450157f, 1.048597f, 2.674998f, 1.051139f, 4.891016f, 1.490272f, 4.113023f, 2.376759f, 5.370555f,
0.072602f, 0.115716f, 0.021953f, 0.181019f, 0.131625f, 0.375120f, 0.258328f, 0.488362f, 0.027135f, 0.062550f, 0.031635f, 0.099734f, 0.153901f, 0.383814f, 0.285462f, 0.437038f,
0.124000f, 0.284551f, 0.053337f, 0.491928f, 0.197358f, 0.809798f, 0.550988f, 1.165089f, 0.135823f, 0.450778f, 0.225251f, 0.794309f, 0.247221f, 0.887680f, 0.652302f, 1.117032f,
0.049162f, 0.133694f, 0.022738f, 0.170719f, 0.119319f, 0.580205f, 0.358187f, 0.616582f, 0.065666f, 0.258275f, 0.117098f, 0.336152f, 0.119144f, 0.506979f, 0.338022f, 0.471223f,
0.214682f, 0.378021f, 0.059393f, 0.662617f, 0.344440f, 1.084471f, 0.618491f, 1.581994f, 0.276372f, 0.703827f, 0.294796f, 1.257467f, 0.369694f, 1.018581f, 0.627390f, 1.299597f,
0.630310f, 0.687065f, 0.178474f, 1.328318f, 0.717704f, 1.398858f, 1.319003f, 2.250700f, 0.118254f, 0.186429f, 0.129100f, 0.367368f, 1.073050f, 1.830194f, 1.863786f, 2.575536f,
0.836244f, 1.312405f, 0.336828f, 2.804027f, 0.835920f, 2.345762f, 2.185346f, 4.170981f, 0.459796f, 1.043644f, 0.714049f, 2.272745f, 1.338963f, 3.288038f, 3.308262f, 5.113492f,
0.455547f, 0.847259f, 0.197297f, 1.337080f, 0.694409f, 2.309315f, 1.952010f, 3.032944f, 0.305443f, 0.821612f, 0.510041f, 1.321576f, 0.886643f, 2.580271f, 2.355543f, 2.963964f,
1.328969f, 1.600412f, 0.344289f, 3.466972f, 1.339156f, 2.883586f, 2.251745f, 5.198659f, 0.858802f, 1.495764f, 0.857806f, 3.302673f, 1.837947f, 3.463246f, 2.920764f, 5.460950f,
0.342680f, 0.625390f, 0.110548f, 0.897558f, 0.469912f, 1.533433f, 0.983919f, 1.831538f, 0.075811f, 0.200101f, 0.094294f, 0.292716f, 0.566032f, 1.616359f, 1.120106f, 1.688556f,
0.488104f, 1.282527f, 0.223991f, 2.034173f, 0.587599f, 2.760707f, 1.750165f, 3.644027f, 0.316466f, 1.202638f, 0.559929f, 1.944197f, 0.758289f, 3.117616f, 2.134559f, 3.599237f,
0.095957f, 0.298798f, 0.047348f, 0.350047f, 0.176155f, 0.980805f, 0.564162f, 0.956249f, 0.075868f, 0.341674f, 0.144336f, 0.407985f, 0.181208f, 0.882905f, 0.548482f, 0.752885f,
0.661788f, 1.334305f, 0.195330f, 2.145758f, 0.803106f, 2.895303f, 1.538519f, 3.874892f, 0.504290f, 1.470518f, 0.573877f, 2.410349f, 0.888022f, 2.801521f, 1.607790f, 3.279336f,
0.348227f, 0.774296f, 0.104630f, 0.943563f, 0.463218f, 1.841682f, 0.903359f, 1.867749f, 0.102942f, 0.331046f, 0.119254f, 0.411184f, 0.716900f, 2.494228f, 1.321322f, 2.212415f,
0.697118f, 2.231729f, 0.297959f, 3.005493f, 0.814085f, 4.660040f, 2.258392f, 5.222804f, 0.603954f, 2.796355f, 0.995271f, 3.838402f, 1.349807f, 6.761461f, 3.538971f, 6.627979f,
0.302045f, 1.145924f, 0.138814f, 1.139874f, 0.537881f, 3.648841f, 1.604454f, 3.020618f, 0.319107f, 1.750946f, 0.565437f, 1.775242f, 0.710915f, 4.220219f, 2.004168f, 3.055641f,
0.862192f, 2.117978f, 0.237020f, 2.892010f, 1.014968f, 4.458149f, 1.810983f, 5.066089f, 0.877907f, 3.119025f, 0.930504f, 4.340914f, 1.441956f, 5.542465f, 2.431585f, 5.508681f,
0.111628f, 0.247784f, 0.035690f, 0.295047f, 0.229843f, 0.912258f, 0.476960f, 0.904018f, 0.045242f, 0.145242f, 0.055769f, 0.176277f, 0.296550f, 1.029990f, 0.581599f, 0.892726f,
0.207253f, 0.662360f, 0.094260f, 0.871612f, 0.374630f, 2.140817f, 1.105878f, 2.344492f, 0.246172f, 1.137847f, 0.431669f, 1.526150f, 0.517843f, 2.589548f, 1.444704f, 2.480388f,
0.082422f, 0.312167f, 0.040307f, 0.303419f, 0.227194f, 1.538589f, 0.721129f, 1.244568f, 0.119385f, 0.653946f, 0.225098f, 0.647862f, 0.250335f, 1.483530f, 0.750955f, 1.049588f,
0.346584f, 0.849931f, 0.101383f, 1.134011f, 0.631531f, 2.769199f, 1.199036f, 3.074876f, 0.483830f, 1.716012f, 0.545680f, 2.333661f, 0.747976f, 2.870095f, 1.342150f, 2.787380f,
0.500377f, 0.759620f, 0.149808f, 1.117860f, 0.647078f, 1.756469f, 1.257405f, 2.151153f, 0.101800f, 0.223511f, 0.117509f, 0.335253f, 1.067570f, 2.535880f, 1.960605f, 2.716351f,
0.721658f, 1.577326f, 0.307344f, 2.565207f, 0.819277f, 3.201887f, 2.264669f, 4.333581f, 0.430279f, 1.360169f, 0.706531f, 2.254643f, 1.448104f, 4.952489f, 3.783111f, 5.862609f,
0.394339f, 1.021430f, 0.180582f, 1.226977f, 0.682685f, 3.161869f, 2.029109f, 3.160907f, 0.286717f, 1.074103f, 0.506229f, 1.315097f, 0.961874f, 3.898438f, 2.701959f, 3.408670f,
1.107762f, 1.857885f, 0.303440f, 3.063542f, 1.267742f, 3.801790f, 2.253912f, 5.217149f, 0.776267f, 1.882941f, 0.819832f, 3.164651f, 1.919983f, 5.038523f, 3.226108f, 6.047485f,
0.276565f, 0.523196f, 0.085123f, 0.775280f, 0.409887f, 1.386488f, 0.818835f, 1.709820f, 0.072367f, 0.197999f, 0.085878f, 0.299048f, 0.491298f, 1.454271f, 0.927582f, 1.568577f,
0.335349f, 0.913388f, 0.146826f, 1.495752f, 0.436319f, 2.124945f, 1.239915f, 2.895956f, 0.257165f, 1.013031f, 0.434117f, 1.690873f, 0.560292f, 2.387846f, 1.504795f, 2.846276f,
0.074089f, 0.239144f, 0.034880f, 0.289262f, 0.146998f, 0.848404f, 0.449169f, 0.854031f, 0.069284f, 0.323439f, 0.125759f, 0.398757f, 0.150470f, 0.759959f, 0.434534f, 0.669095f,
0.487873f, 1.019642f, 0.137387f, 1.692997f, 0.639881f, 2.391249f, 1.169551f, 3.304254f, 0.439712f, 1.329112f, 0.477414f, 2.249335f, 0.704056f, 2.302401f, 1.216192f, 2.782633f,
0.248315f, 0.572336f, 0.071185f, 0.720108f, 0.356997f, 1.471286f, 0.664245f, 1.540580f, 0.086822f, 0.289422f, 0.095963f, 0.371161f, 0.549786f, 1.982782f, 0.966792f, 1.815885f,
0.423177f, 1.404306f, 0.172569f, 1.952625f, 0.534102f, 3.169190f, 1.413655f, 3.667290f, 0.433630f, 2.081188f, 0.681783f, 2.949528f, 0.881216f, 4.575677f, 2.204334f, 4.631043f,
0.206054f, 0.810343f, 0.090351f, 0.832248f, 0.396582f, 2.788727f, 1.128662f, 2.383581f, 0.257480f, 1.464483f, 0.435293f, 1.533036f, 0.521580f, 3.209537f, 1.402901f, 2.399345f,
0.561596f, 1.430030f, 0.147297f, 2.016074f, 0.714513f, 3.253244f, 1.216360f, 3.816962f, 0.676343f, 2.490815f, 0.683953f, 3.579206f, 1.010104f, 4.024587f, 1.625150f, 4.129989f,
0.078405f, 0.180406f, 0.023917f, 0.221796f, 0.174480f, 0.717852f, 0.345449f, 0.734475f, 0.037585f, 0.125075f, 0.044204f, 0.156732f, 0.224010f, 0.806504f, 0.419163f, 0.721730f,
0.123923f, 0.410533f, 0.053773f, 0.557777f, 0.242098f, 1.434077f, 0.681846f, 1.621529f, 0.174096f, 0.834137f, 0.291266f, 1.155137f, 0.332999f, 1.726130f, 0.886367f, 1.707072f,
0.055385f, 0.217437f, 0.025841f, 0.218209f, 0.164998f, 1.158266f, 0.499671f, 0.967358f, 0.094883f, 0.538751f, 0.170688f, 0.551076f, 0.180909f, 1.111318f, 0.517775f, 0.811790f,
0.222363f, 0.565252f, 0.062060f, 0.778679f, 0.437912f, 1.990448f, 0.793258f, 2.281956f, 0.367152f, 1.349825f, 0.395076f, 1.895299f, 0.516103f, 2.052812f, 0.883567f, 2.058410f,
0.447876f, 0.704792f, 0.127934f, 1.070866f, 0.625973f, 1.761342f, 1.160550f, 2.227191f, 0.107772f, 0.245280f, 0.118692f, 0.379857f, 1.027665f, 2.530394f, 1.800674f, 2.798519f,
0.549880f, 1.245840f, 0.223435f, 2.091925f, 0.674693f, 2.733286f, 1.779383f, 3.819522f, 0.387780f, 1.270669f, 0.607514f, 2.174705f, 1.186673f, 4.206869f, 2.957808f, 5.141730f,
0.337675f, 0.906655f, 0.147535f, 1.124483f, 0.631812f, 3.033302f, 1.791689f, 3.130880f, 0.290390f, 1.127660f, 0.489175f, 1.425519f, 0.885814f, 3.721505f, 2.374064f, 3.359664f,
0.905705f, 1.574574f, 0.236702f, 2.680718f, 1.120236f, 3.482338f, 1.900226f, 4.933997f, 0.750672f, 1.887469f, 0.756404f, 3.275306f, 1.688232f, 4.592426f, 2.706471f, 5.691106f,
0.506835f, 0.837917f, 0.134686f, 1.242180f, 0.799792f, 2.364266f, 1.379469f, 2.916887f, 0.115194f, 0.275434f, 0.118025f, 0.416183f, 0.798056f, 2.064435f, 1.300899f, 2.227670f,
0.663579f, 1.579495f, 0.250843f, 2.587686f, 0.919270f, 3.912494f, 2.255450f, 5.334418f, 0.442003f, 1.521612f, 0.644203f, 2.540863f, 0.982718f, 3.660058f, 2.278737f, 4.364633f,
0.122731f, 0.346200f, 0.049885f, 0.418935f, 0.259271f, 1.307714f, 0.683998f, 1.316962f, 0.099690f, 0.406704f, 0.156228f, 0.501629f, 0.220937f, 0.975161f, 0.550865f, 0.858940f,
0.875181f, 1.598474f, 0.212784f, 2.655236f, 1.222175f, 3.991407f, 1.928660f, 5.517769f, 0.685136f, 1.809830f, 0.642254f, 3.064216f, 1.119480f, 3.199321f, 1.669607f, 3.868314f,
0.581673f, 1.171640f, 0.143968f, 1.474790f, 0.890396f, 3.206886f, 1.430375f, 3.359383f, 0.176654f, 0.514627f, 0.168577f, 0.660257f, 1.141532f, 3.597799f, 1.733126f, 3.296395f,
1.070346f, 3.104064f, 0.376848f, 4.317941f, 1.438364f, 7.458652f, 3.286933f, 8.634684f, 0.952662f, 3.995753f, 1.293209f, 5.665375f, 1.975618f, 8.964852f, 4.266782f, 9.077278f,
0.436302f, 1.499484f, 0.165173f, 1.540689f, 0.894092f, 5.494428f, 2.196927f, 4.698242f, 0.473552f, 2.353834f, 0.691207f, 2.465090f, 0.978917f, 5.264224f, 2.273287f, 3.937076f,
1.287717f, 2.865558f, 0.291605f, 4.041656f, 1.744416f, 6.941028f, 2.563920f, 8.147307f, 1.347044f, 4.335345f, 1.176099f, 6.232438f, 2.052966f, 7.148322f, 2.851750f, 7.338728f,
0.222133f, 0.446670f, 0.058503f, 0.549386f, 0.526327f, 1.892402f, 0.899701f, 1.937067f, 0.092491f, 0.268983f, 0.093918f, 0.337209f, 0.562541f, 1.769948f, 0.908808f, 1.584594f,
0.379093f, 1.097513f, 0.142024f, 1.491801f, 0.788548f, 4.082037f, 1.917457f, 4.617619f, 0.462594f, 1.936943f, 0.668198f, 2.683503f, 0.902934f, 4.090283f, 2.075052f, 4.046886f,
0.141836f, 0.486630f, 0.057137f, 0.488570f, 0.449904f, 2.760050f, 1.176328f, 2.306137f, 0.211060f, 1.047302f, 0.327811f, 1.071727f, 0.410654f, 2.204564f, 1.014754f, 1.611080f,
0.616669f, 1.369929f, 0.148594f, 1.888007f, 1.293062f, 5.136299f, 2.022317f, 5.891090f, 0.884408f, 2.841528f, 0.821657f, 3.991548f, 1.268658f, 4.409854f, 1.875210f, 4.423806f,
0.852626f, 1.172543f, 0.210276f, 1.782344f, 1.268818f, 3.120000f, 2.031001f, 3.946911f, 0.178207f, 0.354444f, 0.169451f, 0.549155f, 1.734087f, 3.731424f, 2.623354f, 4.128609f,
1.130301f, 2.237977f, 0.396533f, 3.759487f, 1.476643f, 5.227833f, 3.362337f, 7.308607f, 0.692356f, 1.982641f, 0.936490f, 3.394697f, 2.162102f, 6.698401f, 4.652834f, 8.190502f,
0.581071f, 1.363451f, 0.219193f, 1.691763f, 1.157608f, 4.856871f, 2.834254f, 5.015293f, 0.434041f, 1.472970f, 0.631271f, 1.862850f, 1.351113f, 4.960611f, 3.126397f, 4.480241f,
1.687749f, 2.564198f, 0.380825f, 4.367457f, 2.222665f, 6.038130f, 3.255159f, 8.558932f, 1.215038f, 2.669848f, 1.057051f, 4.634978f, 2.788510f, 6.629022f, 3.859632f, 8.218508f,
};

static const float acceptor_me2x3acc2[16384] = {
0.028739f, 0.051428f, 0.000313f, 0.073324f, 0.034680f, 0.087951f, 0.021917f, 0.102035f, 0.000252f, 0.000765f, 0.000211f, 0.001303f, 0.086087f, 0.188764f, 0.066268f, 0.215400f,
0.034283f, 0.056280f, 0.000377f, 0.081658f, 0.058641f, 0.136431f, 0.037455f, 0.161069f, 0.023430f, 0.065190f, 0.019763f, 0.112954f, 0.091516f, 0.184088f, 0.071197f, 0.213767f,
0.000407f, 0.000736f, 0.000005f, 0.000961f, 0.000959f, 0.002458f, 0.000722f, 0.002610f, 0.000251f, 0.000770f, 0.000250f, 0.001200f, 0.001973f, 0.004369f, 0.001807f, 0.004564f,
0.056136f, 0.110463f, 0.000789f, 0.143996f, 0.140495f, 0.391797f, 0.114664f, 0.415578f, 0.037582f, 0.125335f, 0.040506f, 0.195116f, 0.152611f, 0.367964f, 0.151713f, 0.383898f,
0.035291f, 0.086949f, 0.000364f, 0.110031f, 0.040326f, 0.140805f, 0.024134f, 0.144985f, 0.000333f, 0.001390f, 0.000263f, 0.002100f, 0.096583f, 0.291575f, 0.070407f, 0.295308f,
0.059092f, 0.133562f, 0.000615f, 0.171997f, 0.095713f, 0.306585f, 0.057892f, 0.321253f, 0.043382f, 0.166183f, 0.034652f, 0.255569f, 0.144117f, 0.399132f, 0.106178f, 0.411368f,
0.026513f, 0.065985f, 0.000325f, 0.076430f, 0.059155f, 0.208640f, 0.042131f, 0.196639f, 0.017575f, 0.074131f, 0.016530f, 0.102541f, 0.117347f, 0.357850f, 0.101800f, 0.331735f,
0.084513f, 0.228965f, 0.001124f, 0.264913f, 0.200288f, 0.768999f, 0.154800f, 0.723963f, 0.060777f, 0.279067f, 0.062035f, 0.385591f, 0.209909f, 0.696825f, 0.197614f, 0.645258f,
0.000302f, 0.001475f, 0.000005f, 0.001613f, 0.000400f, 0.002769f, 0.000416f, 0.002464f, 0.000003f, 0.000028f, 0.000005f, 0.000037f, 0.001070f, 0.006402f, 0.001353f, 0.005604f,
0.000430f, 0.001928f, 0.000008f, 0.002146f, 0.000808f, 0.005130f, 0.000848f, 0.004646f, 0.000376f, 0.002852f, 0.000521f, 0.003791f, 0.001358f, 0.007457f, 0.001737f, 0.006643f,
0.000177f, 0.000874f, 0.000004f, 0.000875f, 0.000458f, 0.003203f, 0.000566f, 0.002609f, 0.000140f, 0.001167f, 0.000228f, 0.001395f, 0.001014f, 0.006133f, 0.001527f, 0.004914f,
0.000826f, 0.004438f, 0.000019f, 0.004438f, 0.002270f, 0.017278f, 0.003045f, 0.014059f, 0.000707f, 0.006432f, 0.001252f, 0.007681f, 0.002656f, 0.017481f, 0.004340f, 0.013991f,
0.091342f, 0.202450f, 0.001093f, 0.214612f, 0.085940f, 0.269942f, 0.059752f, 0.232843f, 0.000775f, 0.002911f, 0.000711f, 0.003685f, 0.256620f, 0.696928f, 0.217328f, 0.591287f,
0.156262f, 0.317725f, 0.001890f, 0.342749f, 0.208397f, 0.600508f, 0.146437f, 0.527108f, 0.103177f, 0.355557f, 0.095746f, 0.458055f, 0.391221f, 0.974695f, 0.334848f, 0.841529f,
0.064571f, 0.144564f, 0.000920f, 0.140269f, 0.118620f, 0.376366f, 0.098146f, 0.297145f, 0.038496f, 0.146072f, 0.042064f, 0.169259f, 0.293377f, 0.804820f, 0.295672f, 0.624993f,
0.163052f, 0.397389f, 0.002520f, 0.385156f, 0.318167f, 1.098934f, 0.285680f, 0.866659f, 0.105462f, 0.435623f, 0.125055f, 0.504214f, 0.415736f, 1.241521f, 0.454686f, 0.963052f,
0.026316f, 0.066875f, 0.000385f, 0.071194f, 0.027083f, 0.097539f, 0.023015f, 0.084491f, 0.000232f, 0.000998f, 0.000260f, 0.001268f, 0.068795f, 0.214218f, 0.071208f, 0.182519f,
0.047793f, 0.111420f, 0.000706f, 0.120706f, 0.069721f, 0.230352f, 0.059878f, 0.203055f, 0.032741f, 0.129366f, 0.037134f, 0.167367f, 0.111340f, 0.318055f, 0.116473f, 0.275767f,
0.000575f, 0.001475f, 0.000010f, 0.001438f, 0.001155f, 0.004202f, 0.001168f, 0.003331f, 0.000356f, 0.001547f, 0.000475f, 0.001800f, 0.002430f, 0.007643f, 0.002993f, 0.005961f,
0.074404f, 0.207915f, 0.001405f, 0.202370f, 0.158812f, 0.628929f, 0.174283f, 0.498102f, 0.049930f, 0.236471f, 0.072362f, 0.274867f, 0.176525f, 0.604427f, 0.235963f, 0.470846f,
0.054146f, 0.189449f, 0.000750f, 0.179006f, 0.052768f, 0.261648f, 0.042464f, 0.201163f, 0.000512f, 0.003036f, 0.000544f, 0.003425f, 0.129323f, 0.554431f, 0.126764f, 0.419274f,
0.138031f, 0.443047f, 0.001932f, 0.426005f, 0.190673f, 0.867340f, 0.155075f, 0.678594f, 0.101575f, 0.552570f, 0.109099f, 0.634505f, 0.293786f, 1.155453f, 0.291040f, 0.889184f,
0.062705f, 0.221615f, 0.001034f, 0.191664f, 0.119315f, 0.597617f, 0.114264f, 0.420552f, 0.041664f, 0.249567f, 0.052693f, 0.257758f, 0.242201f, 1.048876f, 0.282525f, 0.726005f,
0.187688f, 0.722103f, 0.003357f, 0.623820f, 0.379347f, 2.068363f, 0.394237f, 1.453927f, 0.135296f, 0.882213f, 0.185688f, 0.910157f, 0.406828f, 1.917883f, 0.514992f, 1.326040f,
0.016347f, 0.113386f, 0.000393f, 0.092596f, 0.018467f, 0.181521f, 0.025793f, 0.120620f, 0.000184f, 0.002160f, 0.000339f, 0.002107f, 0.050532f, 0.429464f, 0.085970f, 0.280696f,
0.035459f, 0.225629f, 0.000862f, 0.187508f, 0.056779f, 0.512010f, 0.080149f, 0.346225f, 0.031026f, 0.334591f, 0.057839f, 0.332064f, 0.097679f, 0.761570f, 0.167950f, 0.506534f,
0.014776f, 0.103528f, 0.000423f, 0.077385f, 0.032592f, 0.323613f, 0.054173f, 0.196826f, 0.011674f, 0.138621f, 0.025625f, 0.123741f, 0.073868f, 0.634155f, 0.149554f, 0.379377f,
0.064742f, 0.493788f, 0.002010f, 0.368689f, 0.151681f, 1.639505f, 0.273598f, 0.996066f, 0.055491f, 0.717295f, 0.132184f, 0.639588f, 0.181625f, 1.697372f, 0.399048f, 1.014311f,
0.080868f, 0.254532f, 0.001301f, 0.201467f, 0.064889f, 0.289445f, 0.060664f, 0.186416f, 0.000688f, 0.003668f, 0.000849f, 0.003467f, 0.198274f, 0.764682f, 0.225784f, 0.484414f,
0.210619f, 0.608155f, 0.003425f, 0.489853f, 0.239556f, 0.980286f, 0.226344f, 0.642480f, 0.139400f, 0.682192f, 0.173941f, 0.656207f, 0.460188f, 1.628172f, 0.529620f, 1.049605f,
0.088118f, 0.280163f, 0.001687f, 0.202973f, 0.138058f, 0.622059f, 0.153596f, 0.366703f, 0.052660f, 0.283761f, 0.077371f, 0.245506f, 0.349402f, 1.361186f, 0.473493f, 0.789258f,
0.208946f, 0.723173f, 0.004342f, 0.523345f, 0.347723f, 1.705565f, 0.419819f, 1.004315f, 0.135468f, 0.794642f, 0.215996f, 0.686752f, 0.464936f, 1.971734f, 0.683739f, 1.142007f,
0.000383f, 0.000697f, 0.000006f, 0.001236f, 0.000447f, 0.001154f, 0.000387f, 0.001666f, 0.000005f, 0.000014f, 0.000005f, 0.000030f, 0.001259f, 0.002809f, 0.001326f, 0.003989f,
0.000625f, 0.001044f, 0.000009f, 0.001886f, 0.001036f, 0.002452f, 0.000905f, 0.003603f, 0.000582f, 0.001647f, 0.000671f, 0.003551f, 0.001833f, 0.003753f, 0.001952f, 0.005424f,
0.000008f, 0.000015f, 0.000000f, 0.000025f, 0.000019f, 0.000049f, 0.000020f, 0.000065f, 0.000007f, 0.000022f, 0.000009f, 0.000042f, 0.000044f, 0.000100f, 0.000055f, 0.000129f,
0.000883f, 0.001769f, 0.000017f, 0.002870f, 0.002141f, 0.006077f, 0.002392f, 0.008022f, 0.000805f, 0.002732f, 0.001188f, 0.005293f, 0.002638f, 0.006474f, 0.003590f, 0.008406f,
0.000702f, 0.001760f, 0.000010f, 0.002771f, 0.000777f, 0.002760f, 0.000636f, 0.003537f, 0.000009f, 0.000038f, 0.000010f, 0.000072f, 0.002110f, 0.006482f, 0.002105f, 0.008171f,
0.001610f, 0.003703f, 0.000023f, 0.005935f, 0.002526f, 0.008233f, 0.002091f, 0.010736f, 0.001609f, 0.006271f, 0.001759f, 0.012004f, 0.004314f, 0.012158f, 0.004350f, 0.015595f,
0.000808f, 0.002046f, 0.000014f, 0.002949f, 0.001745f, 0.006265f, 0.001702f, 0.007348f, 0.000729f, 0.003128f, 0.000938f, 0.005385f, 0.003928f, 0.012188f, 0.004664f, 0.014062f,
0.001987f, 0.005479f, 0.000036f, 0.007889f, 0.004561f, 0.017820f, 0.004825f, 0.020880f, 0.001945f, 0.009089f, 0.002718f, 0.015629f, 0.005422f, 0.018317f, 0.006987f, 0.021110f,
0.000168f, 0.000834f, 0.000004f, 0.001135f, 0.000215f, 0.001516f, 0.000306f, 0.001679f, 0.000003f, 0.000022f, 0.000005f, 0.000035f, 0.000653f, 0.003977f, 0.001131f, 0.004332f,
0.000328f, 0.001494f, 0.000008f, 0.002069f, 0.000596f, 0.003849f, 0.000856f, 0.004338f, 0.000389f, 0.003008f, 0.000739f, 0.004975f, 0.001136f, 0.006346f, 0.001988f, 0.007036f,
0.000151f, 0.000757f, 0.000004f, 0.000943f, 0.000378f, 0.002687f, 0.000639f, 0.002724f, 0.000162f, 0.001376f, 0.000361f, 0.002047f, 0.000949f, 0.005836f, 0.001955f, 0.005820f,
0.000543f, 0.002967f, 0.000017f, 0.003693f, 0.001444f, 0.011187f, 0.002652f, 0.011329f, 0.000632f, 0.005852f, 0.001532f, 0.008698f, 0.001917f, 0.012839f, 0.004288f, 0.012789f,
0.002140f, 0.004828f, 0.000035f, 0.006369f, 0.001950f, 0.006234f, 0.001856f, 0.006693f, 0.000025f, 0.000094f, 0.000031f, 0.000149f, 0.006606f, 0.018258f, 0.007658f, 0.019279f,
0.005017f, 0.010381f, 0.000083f, 0.013937f, 0.006480f, 0.019001f, 0.006233f, 0.020758f, 0.004509f, 0.015811f, 0.005727f, 0.025351f, 0.013799f, 0.034985f, 0.016166f, 0.037592f,
0.002318f, 0.005281f, 0.000045f, 0.006378f, 0.004124f, 0.013316f, 0.004671f, 0.013084f, 0.001881f, 0.007263f, 0.002813f, 0.010475f, 0.011571f, 0.032301f, 0.015962f, 0.031219f,
0.004518f, 0.011204f, 0.000096f, 0.013515f, 0.008537f, 0.030008f, 0.010493f, 0.029453f, 0.003977f, 0.016717f, 0.006455f, 0.024082f, 0.012655f, 0.038456f, 0.018944f, 0.037126f,
0.051204f, 0.124938f, 0.000859f, 0.177101f, 0.062222f, 0.215159f, 0.060612f, 0.248166f, 0.000471f, 0.001948f, 0.000606f, 0.003298f, 0.120455f, 0.360131f, 0.142925f, 0.408566f,
0.064977f, 0.145444f, 0.001101f, 0.209803f, 0.111920f, 0.355038f, 0.110186f, 0.416723f, 0.046539f, 0.176557f, 0.060508f, 0.304147f, 0.136214f, 0.373602f, 0.163346f, 0.431320f,
0.000826f, 0.002036f, 0.000016f, 0.002641f, 0.001960f, 0.006846f, 0.002272f, 0.007227f, 0.000534f, 0.002231f, 0.000818f, 0.003458f, 0.003143f, 0.009491f, 0.004437f, 0.009855f,
0.097248f, 0.260922f, 0.002106f, 0.338160f, 0.245088f, 0.931919f, 0.308324f, 0.982755f, 0.068231f, 0.310267f, 0.113356f, 0.480209f, 0.207619f, 0.682565f, 0.318142f, 0.707995f,
0.123843f, 0.416040f, 0.001966f, 0.523432f, 0.142502f, 0.678440f, 0.131459f, 0.694533f, 0.001224f, 0.006970f, 0.001491f, 0.010472f, 0.266168f, 1.095634f, 0.299083f, 1.103229f,
0.220589f, 0.679821f, 0.003540f, 0.870383f, 0.359788f, 1.571398f, 0.335440f, 1.637032f, 0.169718f, 0.886471f, 0.208965f, 1.355387f, 0.422487f, 1.595411f, 0.479789f, 1.634793f,
0.105928f, 0.359457f, 0.002002f, 0.413942f, 0.237989f, 1.144517f, 0.261266f, 1.072431f, 0.073587f, 0.423221f, 0.106686f, 0.582025f, 0.368181f, 1.530900f, 0.492330f, 1.410954f,
0.288361f, 1.065216f, 0.005913f, 1.225316f, 0.688157f, 3.602606f, 0.819830f, 3.371965f, 0.217329f, 1.360643f, 0.341926f, 1.869123f, 0.562453f, 2.545868f, 0.816190f, 2.343803f,
0.029090f, 0.193726f, 0.000802f, 0.210656f, 0.038800f, 0.366191f, 0.062123f, 0.324003f, 0.000342f, 0.003859f, 0.000723f, 0.005011f, 0.080916f, 0.660285f, 0.157807f, 0.574634f,
0.044089f, 0.269356f, 0.001228f, 0.298059f, 0.083355f, 0.721709f, 0.134884f, 0.649819f, 0.040332f, 0.417618f, 0.086190f, 0.551871f, 0.109287f, 0.818122f, 0.215410f, 0.724548f,
0.019421f, 0.130645f, 0.000637f, 0.130030f, 0.050577f, 0.482183f, 0.096370f, 0.390498f, 0.016041f, 0.182893f, 0.040365f, 0.217385f, 0.087364f, 0.720122f, 0.202761f, 0.573629f,
0.077388f, 0.566718f, 0.002754f, 0.563426f, 0.214078f, 2.221724f, 0.442657f, 1.797280f, 0.069349f, 0.860709f, 0.189371f, 1.021902f, 0.195362f, 1.752986f, 0.492044f, 1.394835f,
0.171461f, 0.518168f, 0.003163f, 0.546113f, 0.162447f, 0.695738f, 0.174095f, 0.596641f, 0.001524f, 0.007807f, 0.002157f, 0.009826f, 0.378295f, 1.400827f, 0.493826f, 1.181600f,
0.312025f, 0.865059f, 0.005817f, 0.927784f, 0.419036f, 1.646399f, 0.453866f, 1.436787f, 0.215918f, 1.014543f, 0.308847f, 1.299435f, 0.613483f, 2.084043f, 0.809371f, 1.788885f,
0.137994f, 0.421254f, 0.003029f, 0.406369f, 0.255274f, 1.104375f, 0.325567f, 0.866861f, 0.086220f, 0.446086f, 0.145219f, 0.513900f, 0.492375f, 1.841731f, 0.764890f, 1.421929f,
0.297591f, 0.988932f, 0.007089f, 0.952935f, 0.584750f, 2.753875f, 0.809309f, 2.159218f, 0.201723f, 1.136130f, 0.368705f, 1.307397f, 0.595873f, 2.426320f, 1.004539f, 1.871195f,
0.047557f, 0.085104f, 0.000517f, 0.121339f, 0.078073f, 0.197998f, 0.049340f, 0.229704f, 0.000441f, 0.001336f, 0.000368f, 0.002275f, 0.126792f, 0.278017f, 0.097602f, 0.317246f,
0.046567f, 0.076447f, 0.000512f, 0.110918f, 0.108363f, 0.252109f, 0.069212f, 0.297636f, 0.033582f, 0.093436f, 0.028326f, 0.161897f, 0.110637f, 0.222552f, 0.086073f, 0.258432f,
0.000479f, 0.000866f, 0.000006f, 0.001130f, 0.001536f, 0.003934f, 0.001155f, 0.004178f, 0.000312f, 0.000956f, 0.000310f, 0.001490f, 0.002066f, 0.004576f, 0.001893f, 0.004779f,
0.078339f, 0.154152f, 0.001100f, 0.200948f, 0.266726f, 0.743814f, 0.217687f, 0.788962f, 0.055340f, 0.184561f, 0.059647f, 0.287315f, 0.189548f, 0.457024f, 0.188432f, 0.476814f,
0.067036f, 0.165163f, 0.000691f, 0.209008f, 0.104209f, 0.363863f, 0.062367f, 0.374666f, 0.000667f, 0.002786f, 0.000527f, 0.004210f, 0.163286f, 0.492947f, 0.119032f, 0.499258f,
0.092136f, 0.208250f, 0.000959f, 0.268179f, 0.203022f, 0.650316f, 0.122798f, 0.681428f, 0.071374f, 0.273414f, 0.057012f, 0.420478f, 0.199994f, 0.553885f, 0.147345f, 0.570865f,
0.035811f, 0.089124f, 0.000439f, 0.103231f, 0.108695f, 0.383369f, 0.077414f, 0.361318f, 0.025048f, 0.105652f, 0.023559f, 0.146143f, 0.141066f, 0.430180f, 0.122377f, 0.398787f,
0.135380f, 0.366775f, 0.001801f, 0.424361f, 0.436472f, 1.675822f, 0.337344f, 1.577679f, 0.102731f, 0.471707f, 0.104857f, 0.651764f, 0.299270f, 0.993471f, 0.281741f, 0.919951f,
0.000415f, 0.002027f, 0.000007f, 0.002217f, 0.000748f, 0.005176f, 0.000777f, 0.004606f, 0.000005f, 0.000041f, 0.000007f, 0.000053f, 0.001308f, 0.007829f, 0.001655f, 0.006853f,
0.000485f, 0.002174f, 0.000009f, 0.002420f, 0.001240f, 0.007871f, 0.001301f, 0.007128f, 0.000447f, 0.003394f, 0.000620f, 0.004512f, 0.001363f, 0.007485f, 0.001743f, 0.006668f,
0.000173f, 0.000854f, 0.000004f, 0.000855f, 0.000609f, 0.004256f, 0.000753f, 0.003467f, 0.000144f, 0.001203f, 0.000235f, 0.001438f, 0.000882f, 0.005333f, 0.001328f, 0.004273f,
0.000957f, 0.005142f, 0.000022f, 0.005142f, 0.003578f, 0.027236f, 0.004800f, 0.022161f, 0.000864f, 0.007864f, 0.001530f, 0.009391f, 0.002739f, 0.018027f, 0.004476f, 0.014428f,
0.168930f, 0.374418f, 0.002022f, 0.396911f, 0.216224f, 0.679172f, 0.150335f, 0.585830f, 0.001512f, 0.005680f, 0.001388f, 0.007191f, 0.422406f, 1.147167f, 0.357730f, 0.973279f,
0.237216f, 0.482329f, 0.002869f, 0.520318f, 0.430383f, 1.240170f, 0.302421f, 1.088586f, 0.165276f, 0.569552f, 0.153371f, 0.733740f, 0.528584f, 1.316924f, 0.452419f, 1.137001f,
0.084913f, 0.190107f, 0.001209f, 0.184459f, 0.212210f, 0.673317f, 0.175583f, 0.531590f, 0.053418f, 0.202693f, 0.058369f, 0.234868f, 0.343371f, 0.941970f, 0.346058f, 0.731498f,
0.254301f, 0.619779f, 0.003930f, 0.600700f, 0.675066f, 2.331647f, 0.606138f, 1.838821f, 0.173560f, 0.716908f, 0.205804f, 0.829789f, 0.577083f, 1.723355f, 0.631149f, 1.336812f,
0.060412f, 0.153524f, 0.000884f, 0.163438f, 0.084583f, 0.304622f, 0.071876f, 0.263872f, 0.000561f, 0.002416f, 0.000630f, 0.003072f, 0.140562f, 0.437691f, 0.145492f, 0.372922f,
0.090059f, 0.209956f, 0.001331f, 0.227455f, 0.178731f, 0.590510f, 0.153498f, 0.520534f, 0.065101f, 0.257227f, 0.073837f, 0.332786f, 0.186732f, 0.533416f, 0.195339f, 0.462495f,
0.000938f, 0.002408f, 0.000016f, 0.002347f, 0.002565f, 0.009331f, 0.002594f, 0.007398f, 0.000612f, 0.002664f, 0.000818f, 0.003100f, 0.003530f, 0.011104f, 0.004349f, 0.008660f,
0.144041f, 0.402512f, 0.002721f, 0.391778f, 0.418260f, 1.656399f, 0.459005f, 1.311843f, 0.101997f, 0.483062f, 0.147821f, 0.561496f, 0.304157f, 1.041446f, 0.406572f, 0.811283f,
0.142685f, 0.499232f, 0.001976f, 0.471713f, 0.189168f, 0.937989f, 0.152229f, 0.721155f, 0.001423f, 0.008441f, 0.001513f, 0.009524f, 0.303310f, 1.300342f, 0.297308f, 0.983348f,
0.298566f, 0.958325f, 0.004180f, 0.921463f, 0.561077f, 2.552250f, 0.456327f, 1.996843f, 0.231837f, 1.261195f, 0.249009f, 1.448206f, 0.565581f, 2.224413f, 0.560295f, 1.711808f,
0.117492f, 0.415250f, 0.001937f, 0.359129f, 0.304142f, 1.523361f, 0.291264f, 1.072012f, 0.082376f, 0.493434f, 0.104182f, 0.509627f, 0.403911f, 1.749175f, 0.471157f, 1.210734f,
0.417088f, 1.604688f, 0.007461f, 1.386280f, 1.146828f, 6.253006f, 1.191843f, 4.395464f, 0.317254f, 2.068696f, 0.435419f, 2.134223f, 0.804642f, 3.793268f, 1.018574f, 2.622698f,
0.031159f, 0.216123f, 0.000749f, 0.176496f, 0.047885f, 0.470696f, 0.066882f, 0.312774f, 0.000370f, 0.004345f, 0.000682f, 0.004237f, 0.085725f, 0.728566f, 0.145844f, 0.476188f,
0.055479f, 0.353013f, 0.001348f, 0.293370f, 0.120852f, 1.089795f, 0.170595f, 0.736928f, 0.051222f, 0.552386f, 0.095487f, 0.548214f, 0.136018f, 1.060489f, 0.233871f, 0.705351f,
0.020027f, 0.140314f, 0.000573f, 0.104882f, 0.060093f, 0.596676f, 0.099883f, 0.362906f, 0.016695f, 0.198245f, 0.036647f, 0.176965f, 0.089105f, 0.764959f, 0.180402f, 0.457628f,
0.104067f, 0.793717f, 0.003231f, 0.592632f, 0.331686f, 3.585154f, 0.598285f, 2.178127f, 0.094119f, 1.216619f, 0.224200f, 1.084818f, 0.259837f, 2.428296f, 0.570887f, 1.451095f,
0.207479f, 0.653042f, 0.003339f, 0.516895f, 0.226485f, 1.010265f, 0.211738f, 0.650657f, 0.001862f, 0.009931f, 0.002298f, 0.009387f, 0.452756f, 1.746143f, 0.515576f, 1.106154f,
0.443557f, 1.280758f, 0.007214f, 1.031616f, 0.686326f, 2.808508f, 0.648472f, 1.840697f, 0.309776f, 1.515972f, 0.386534f, 1.458227f, 0.862556f, 3.051776f, 0.992697f, 1.967334f,
0.160755f, 0.511104f, 0.003078f, 0.370285f, 0.342633f, 1.543835f, 0.381196f, 0.910088f, 0.101371f, 0.546239f, 0.148940f, 0.472599f, 0.567315f, 2.210121f, 0.768797f, 1.281496f,
0.452080f, 1.564671f, 0.009395f, 1.132320f, 1.023492f, 5.020184f, 1.235700f, 2.956115f, 0.309279f, 1.814195f, 0.493126f, 1.567880f, 0.895310f, 3.796899f, 1.316652f, 2.199124f,
0.023864f, 0.043458f, 0.000355f, 0.077115f, 0.037942f, 0.097919f, 0.032822f, 0.141382f, 0.000301f, 0.000929f, 0.000344f, 0.001968f, 0.069898f, 0.155966f, 0.073649f, 0.221500f,
0.032016f, 0.053485f, 0.000482f, 0.096581f, 0.072153f, 0.170824f, 0.063080f, 0.250995f, 0.031425f, 0.088975f, 0.036282f, 0.191872f, 0.083565f, 0.171058f, 0.088988f, 0.247216f,
0.000368f, 0.000678f, 0.000007f, 0.001101f, 0.001143f, 0.002981f, 0.001177f, 0.003940f, 0.000326f, 0.001018f, 0.000444f, 0.001974f, 0.001745f, 0.003933f, 0.002188f, 0.005112f,
0.046480f, 0.093073f, 0.000894f, 0.151000f, 0.153264f, 0.434937f, 0.171217f, 0.574164f, 0.044690f, 0.151669f, 0.065932f, 0.293855f, 0.123551f, 0.303147f, 0.168120f, 0.393624f,
0.050260f, 0.126014f, 0.000709f, 0.198466f, 0.075668f, 0.268863f, 0.061987f, 0.344552f, 0.000681f, 0.002893f, 0.000737f, 0.005441f, 0.134494f, 0.413185f, 0.134203f, 0.520820f,
0.094646f, 0.217692f, 0.001349f, 0.348900f, 0.201977f, 0.658371f, 0.167221f, 0.858588f, 0.099791f, 0.389010f, 0.109109f, 0.744564f, 0.225698f, 0.636089f, 0.227607f, 0.815925f,
0.041133f, 0.104174f, 0.000690f, 0.150173f, 0.120913f, 0.433980f, 0.117875f, 0.509049f, 0.039159f, 0.168084f, 0.050415f, 0.289363f, 0.178007f, 0.552401f, 0.211375f, 0.637328f,
0.120013f, 0.330872f, 0.002185f, 0.476445f, 0.374728f, 1.464117f, 0.396436f, 1.715475f, 0.123953f, 0.579181f, 0.173178f, 0.995979f, 0.291457f, 0.984588f, 0.375578f, 1.134704f,
0.008693f, 0.043205f, 0.000213f, 0.058811f, 0.015170f, 0.106854f, 0.021569f, 0.118351f, 0.000140f, 0.001179f, 0.000263f, 0.001917f, 0.030105f, 0.183347f, 0.052139f, 0.199745f,
0.013929f, 0.063509f, 0.000345f, 0.087974f, 0.034455f, 0.222643f, 0.049511f, 0.250947f, 0.017461f, 0.134939f, 0.033137f, 0.223223f, 0.042988f, 0.240174f, 0.075243f, 0.266267f,
0.005553f, 0.027878f, 0.000162f, 0.034734f, 0.018921f, 0.134624f, 0.032014f, 0.136481f, 0.006285f, 0.053483f, 0.014045f, 0.079578f, 0.031101f, 0.191327f, 0.064098f, 0.190785f,
0.023715f, 0.129614f, 0.000750f, 0.161311f, 0.085835f, 0.664832f, 0.157608f, 0.673256f, 0.029123f, 0.269767f, 0.070622f, 0.400945f, 0.074540f, 0.499183f, 0.166715f, 0.497218f,
0.149244f, 0.336616f, 0.002445f, 0.444108f, 0.185004f, 0.591352f, 0.176067f, 0.634828f, 0.001818f, 0.006950f, 0.002285f, 0.010951f, 0.409977f, 1.133039f, 0.475253f, 1.196392f,
0.287136f, 0.594121f, 0.004754f, 0.797661f, 0.504530f, 1.479453f, 0.485271f, 1.616221f, 0.272292f, 0.954877f, 0.345868f, 1.530997f, 0.702907f, 1.782102f, 0.823501f, 1.914921f,
0.114927f, 0.261840f, 0.002240f, 0.316196f, 0.278166f, 0.898143f, 0.315036f, 0.882513f, 0.098405f, 0.379978f, 0.147182f, 0.547976f, 0.510568f, 1.425329f, 0.704333f, 1.377557f,
0.265639f, 0.658824f, 0.005620f, 0.794710f, 0.682935f, 2.400403f, 0.839353f, 2.356019f, 0.246761f, 1.037240f, 0.400516f, 1.494174f, 0.662252f, 2.012556f, 0.991419f, 1.942950f,
0.095690f, 0.233483f, 0.001604f, 0.330964f, 0.158188f, 0.547003f, 0.154095f, 0.630917f, 0.000929f, 0.003842f, 0.001195f, 0.006504f, 0.200347f, 0.598991f, 0.237722f, 0.679550f,
0.099671f, 0.223105f, 0.001689f, 0.321829f, 0.233557f, 0.740899f, 0.229938f, 0.869623f, 0.075329f, 0.285778f, 0.097940f, 0.492298f, 0.185967f, 0.510061f, 0.223009f, 0.588861f,
0.001098f, 0.002705f, 0.000022f, 0.003510f, 0.003543f, 0.012375f, 0.004107f, 0.013065f, 0.000749f, 0.003129f, 0.001147f, 0.004848f, 0.003717f, 0.011224f, 0.005248f, 0.011655f,
0.153258f, 0.411199f, 0.003319f, 0.532922f, 0.525452f, 1.997976f, 0.661027f, 2.106966f, 0.113463f, 0.515952f, 0.188503f, 0.798553f, 0.291212f, 0.957383f, 0.446234f, 0.993051f,
0.265663f, 0.892469f, 0.004218f, 1.122843f, 0.415864f, 1.979887f, 0.383635f, 2.026851f, 0.002771f, 0.015776f, 0.003376f, 0.023703f, 0.508176f, 2.091818f, 0.571018f, 2.106319f,
0.388414f, 1.197035f, 0.006233f, 1.532577f, 0.861846f, 3.764163f, 0.803522f, 3.921386f, 0.315334f, 1.647056f, 0.388256f, 2.518297f, 0.662103f, 2.500256f, 0.751904f, 2.561973f,
0.161573f, 0.548284f, 0.003053f, 0.631389f, 0.493839f, 2.374929f, 0.542140f, 2.225347f, 0.118439f, 0.681173f, 0.171711f, 0.936767f, 0.499826f, 2.078283f, 0.668366f, 1.915449f,
0.521647f, 1.926983f, 0.010697f, 2.216606f, 1.693552f, 8.865998f, 2.017598f, 8.298391f, 0.414848f, 2.597265f, 0.652685f, 3.567877f, 0.905580f, 4.098983f, 1.314110f, 3.773647f,
0.045137f, 0.300593f, 0.001244f, 0.326862f, 0.081901f, 0.772984f, 0.131135f, 0.683929f, 0.000560f, 0.006318f, 0.001184f, 0.008204f, 0.111744f, 0.911849f, 0.217931f, 0.793565f,
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0.101263f, 0.741550f, 0.003604f, 0.737243f, 0.381079f, 3.954886f, 0.787972f, 3.199335f, 0.095751f, 1.188397f, 0.261468f, 1.410960f, 0.227516f, 2.041511f, 0.573030f, 1.624412f,
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0.524143f, 1.741791f, 0.012486f, 1.678389f, 1.401105f, 6.598486f, 1.939163f, 5.173643f, 0.374902f, 2.111492f, 0.685236f, 2.429791f, 0.934079f, 3.803449f, 1.574694f, 2.933247f,
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0.004462f, 0.012089f, 0.000059f, 0.013987f, 0.014692f, 0.056409f, 0.011355f, 0.053105f, 0.004060f, 0.018640f, 0.004144f, 0.025755f, 0.012510f, 0.041530f, 0.011777f, 0.038456f,
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0.000047f, 0.000252f, 0.000001f, 0.000252f, 0.000179f, 0.001365f, 0.000241f, 0.001111f, 0.000051f, 0.000463f, 0.000090f, 0.000553f, 0.000171f, 0.001122f, 0.000279f, 0.000898f,
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0.002778f, 0.006220f, 0.000040f, 0.006035f, 0.007091f, 0.022497f, 0.005867f, 0.017762f, 0.002095f, 0.007951f, 0.002290f, 0.009213f, 0.014248f, 0.039087f, 0.014360f, 0.030354f,
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0.001094f, 0.002780f, 0.000016f, 0.002959f, 0.001564f, 0.005632f, 0.001329f, 0.004879f, 0.000012f, 0.000052f, 0.000014f, 0.000067f, 0.003228f, 0.010050f, 0.003341f, 0.008563f,
0.002155f, 0.005024f, 0.000032f, 0.005443f, 0.004368f, 0.014432f, 0.003751f, 0.012721f, 0.001868f, 0.007380f, 0.002118f, 0.009548f, 0.005667f, 0.016190f, 0.005929f, 0.014037f,
0.000025f, 0.000064f, 0.000000f, 0.000062f, 0.000069f, 0.000252f, 0.000070f, 0.000200f, 0.000019f, 0.000084f, 0.000026f, 0.000098f, 0.000118f, 0.000372f, 0.000146f, 0.000290f,
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0.013522f, 0.052024f, 0.000242f, 0.044943f, 0.037970f, 0.207029f, 0.039460f, 0.145528f, 0.012331f, 0.080408f, 0.016924f, 0.082955f, 0.033085f, 0.155969f, 0.041881f, 0.107839f,
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0.000976f, 0.006839f, 0.000028f, 0.005112f, 0.002991f, 0.029701f, 0.004972f, 0.018065f, 0.000976f, 0.011585f, 0.002142f, 0.010341f, 0.005508f, 0.047289f, 0.011152f, 0.028290f,
0.005024f, 0.038314f, 0.000156f, 0.028608f, 0.016351f, 0.176740f, 0.029494f, 0.107377f, 0.005447f, 0.070411f, 0.012975f, 0.062783f, 0.015908f, 0.148667f, 0.034951f, 0.088840f,
0.004571f, 0.014386f, 0.000074f, 0.011387f, 0.005095f, 0.022729f, 0.004764f, 0.014638f, 0.000049f, 0.000262f, 0.000061f, 0.000248f, 0.012650f, 0.048786f, 0.014405f, 0.030905f,
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0.006498f, 0.047586f, 0.000231f, 0.047309f, 0.024974f, 0.259181f, 0.051639f, 0.209667f, 0.007367f, 0.091430f, 0.020116f, 0.108553f, 0.018517f, 0.166152f, 0.046637f, 0.132206f,
0.010487f, 0.031693f, 0.000193f, 0.033402f, 0.013804f, 0.059121f, 0.014794f, 0.050700f, 0.000118f, 0.000604f, 0.000167f, 0.000760f, 0.026118f, 0.096715f, 0.034094f, 0.081579f,
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0.022207f, 0.073796f, 0.000529f, 0.071110f, 0.060624f, 0.285506f, 0.083904f, 0.223855f, 0.019044f, 0.107256f, 0.034807f, 0.123424f, 0.050192f, 0.204377f, 0.084616f, 0.157617f,
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0.061546f, 0.151637f, 0.000634f, 0.191891f, 0.078755f, 0.274984f, 0.047133f, 0.283148f, 0.000573f, 0.002393f, 0.000453f, 0.003616f, 0.154082f, 0.465160f, 0.112323f, 0.471116f,
0.127833f, 0.288932f, 0.001331f, 0.372080f, 0.231863f, 0.742701f, 0.140243f, 0.778232f, 0.092645f, 0.354898f, 0.074003f, 0.545791f, 0.285194f, 0.789844f, 0.210116f, 0.814059f,
0.038789f, 0.096535f, 0.000476f, 0.111816f, 0.096912f, 0.341812f, 0.069022f, 0.322151f, 0.025383f, 0.107064f, 0.023874f, 0.148096f, 0.157045f, 0.478910f, 0.136239f, 0.443960f,
0.132626f, 0.359312f, 0.001764f, 0.415726f, 0.351971f, 1.351382f, 0.272034f, 1.272239f, 0.094156f, 0.432331f, 0.096104f, 0.597358f, 0.301333f, 1.000318f, 0.283682f, 0.926292f,
0.000503f, 0.002459f, 0.000009f, 0.002689f, 0.000747f, 0.005169f, 0.000776f, 0.004600f, 0.000006f, 0.000046f, 0.000008f, 0.000060f, 0.001631f, 0.009762f, 0.002064f, 0.008546f,
0.000890f, 0.003987f, 0.000016f, 0.004437f, 0.001871f, 0.011879f, 0.001964f, 0.010758f, 0.000767f, 0.005822f, 0.001063f, 0.007739f, 0.002569f, 0.014105f, 0.003285f, 0.012565f,
0.000248f, 0.001222f, 0.000005f, 0.001223f, 0.000717f, 0.005015f, 0.000887f, 0.004085f, 0.000193f, 0.001611f, 0.000315f, 0.001926f, 0.001298f, 0.007845f, 0.001954f, 0.006286f,
0.001240f, 0.006657f, 0.000029f, 0.006657f, 0.003813f, 0.029023f, 0.005115f, 0.023615f, 0.001046f, 0.009524f, 0.001854f, 0.011374f, 0.003645f, 0.023987f, 0.005956f, 0.019197f,
0.171470f, 0.380046f, 0.002052f, 0.402877f, 0.180660f, 0.567463f, 0.125608f, 0.489474f, 0.001436f, 0.005394f, 0.001318f, 0.006829f, 0.440678f, 1.196790f, 0.373204f, 1.015380f,
0.363868f, 0.739849f, 0.004401f, 0.798121f, 0.543416f, 1.565882f, 0.381848f, 1.374486f, 0.237181f, 0.817345f, 0.220098f, 1.052965f, 0.833345f, 2.076212f, 0.713265f, 1.792552f,
0.101684f, 0.227656f, 0.001448f, 0.220892f, 0.209183f, 0.663710f, 0.173078f, 0.524006f, 0.059847f, 0.227087f, 0.065393f, 0.263134f, 0.422626f, 1.159389f, 0.425932f, 0.900337f,
0.275428f, 0.671270f, 0.004257f, 0.650606f, 0.601846f, 2.078747f, 0.540394f, 1.639374f, 0.175866f, 0.726435f, 0.208538f, 0.840815f, 0.642407f, 1.918433f, 0.702593f, 1.488134f,
0.092645f, 0.235435f, 0.001355f, 0.250638f, 0.106771f, 0.384532f, 0.090731f, 0.333093f, 0.000805f, 0.003467f, 0.000903f, 0.004408f, 0.221551f, 0.689878f, 0.229321f, 0.587792f,
0.208709f, 0.486566f, 0.003085f, 0.527118f, 0.340950f, 1.126468f, 0.292815f, 0.992980f, 0.141148f, 0.557702f, 0.160087f, 0.721525f, 0.444777f, 1.270548f, 0.465280f, 1.101619f,
0.001697f, 0.004357f, 0.000030f, 0.004246f, 0.003820f, 0.013896f, 0.003863f, 0.011018f, 0.001037f, 0.004510f, 0.001384f, 0.005248f, 0.006565f, 0.020649f, 0.008086f, 0.016103f,
0.235701f, 0.658647f, 0.004452f, 0.641082f, 0.563377f, 2.231093f, 0.618258f, 1.766991f, 0.156147f, 0.739520f, 0.226299f, 0.859595f, 0.511545f, 1.751549f, 0.683790f, 1.364451f,
0.197093f, 0.689597f, 0.002730f, 0.651584f, 0.215089f, 1.066520f, 0.173089f, 0.819974f, 0.001839f, 0.010908f, 0.001955f, 0.012308f, 0.430617f, 1.846127f, 0.422096f, 1.396084f,
0.623236f, 2.000441f, 0.008725f, 1.923494f, 0.964081f, 4.385450f, 0.784092f, 3.431112f, 0.452761f, 2.463017f, 0.486296f, 2.828234f, 1.213441f, 4.772428f, 1.202100f, 3.672645f,
0.191471f, 0.676711f, 0.003156f, 0.585254f, 0.407988f, 2.043502f, 0.390714f, 1.438043f, 0.125594f, 0.752307f, 0.158840f, 0.776996f, 0.676536f, 2.929803f, 0.789171f, 2.027934f,
0.614754f, 2.365181f, 0.010997f, 2.043264f, 1.391394f, 7.586488f, 1.446009f, 5.332817f, 0.437476f, 2.852613f, 0.600418f, 2.942971f, 1.218955f, 5.746435f, 1.543041f, 3.973134f,
0.056877f, 0.394501f, 0.001367f, 0.322168f, 0.071949f, 0.707238f, 0.100493f, 0.469954f, 0.000631f, 0.007420f, 0.001164f, 0.007236f, 0.160830f, 1.366870f, 0.273619f, 0.893381f,
0.153036f, 0.973772f, 0.003718f, 0.809248f, 0.274410f, 2.474513f, 0.387358f, 1.673285f, 0.132188f, 1.425548f, 0.246425f, 1.414781f, 0.385633f, 3.006659f, 0.663063f, 1.999784f,
0.043128f, 0.302168f, 0.001234f, 0.225865f, 0.106524f, 1.057705f, 0.177059f, 0.643310f, 0.033636f, 0.399414f, 0.073834f, 0.356539f, 0.197224f, 1.693156f, 0.399300f, 1.012912f,
0.202694f, 1.545942f, 0.006293f, 1.154285f, 0.531782f, 5.747959f, 0.959210f, 3.492118f, 0.171505f, 2.216943f, 0.408540f, 1.976774f, 0.520164f, 4.861167f, 1.142850f, 2.904923f,
0.316851f, 0.997293f, 0.005099f, 0.789376f, 0.284708f, 1.269974f, 0.266170f, 0.817922f, 0.002660f, 0.014188f, 0.003284f, 0.013411f, 0.710652f, 2.740769f, 0.809255f, 1.736234f,
1.023648f, 2.955754f, 0.016648f, 2.380780f, 1.303797f, 5.335254f, 1.231887f, 3.496727f, 0.668839f, 3.273142f, 0.834567f, 3.148464f, 2.045973f, 7.238776f, 2.354667f, 4.666493f,
0.289632f, 0.920855f, 0.005546f, 0.667142f, 0.508147f, 2.289610f, 0.565339f, 1.349721f, 0.170871f, 0.920742f, 0.251053f, 0.796614f, 1.050552f, 4.092697f, 1.423657f, 2.373073f,
0.736678f, 2.549677f, 0.015309f, 1.845148f, 1.372856f, 6.733798f, 1.657500f, 3.965170f, 0.471504f, 2.765786f, 0.751783f, 2.390273f, 1.499502f, 6.359202f, 2.205183f, 3.683182f,
0.030926f, 0.056317f, 0.000460f, 0.099933f, 0.040474f, 0.104453f, 0.035012f, 0.150815f, 0.000365f, 0.001126f, 0.000417f, 0.002386f, 0.093099f, 0.207737f, 0.098097f, 0.295025f,
0.062699f, 0.104744f, 0.000943f, 0.189141f, 0.116312f, 0.275373f, 0.101686f, 0.404610f, 0.057576f, 0.163018f, 0.066475f, 0.351542f, 0.168202f, 0.344309f, 0.179118f, 0.497601f,
0.000563f, 0.001036f, 0.000010f, 0.001683f, 0.001439f, 0.003752f, 0.001481f, 0.004958f, 0.000467f, 0.001456f, 0.000635f, 0.002824f, 0.002742f, 0.006180f, 0.003438f, 0.008033f,
0.064271f, 0.128699f, 0.001236f, 0.208800f, 0.174450f, 0.495062f, 0.194885f, 0.653536f, 0.057814f, 0.196211f, 0.085295f, 0.380154f, 0.175594f, 0.430843f, 0.238939f, 0.559432f,
0.058668f, 0.147092f, 0.000827f, 0.231664f, 0.072705f, 0.258334f, 0.059559f, 0.331060f, 0.000743f, 0.003159f, 0.000804f, 0.005942f, 0.161357f, 0.495712f, 0.161007f, 0.624845f,
0.166953f, 0.384004f, 0.002379f, 0.615452f, 0.293273f, 0.955965f, 0.242807f, 1.246682f, 0.164687f, 0.641987f, 0.180064f, 1.228760f, 0.409196f, 1.153245f, 0.412658f, 1.479293f,
0.056645f, 0.143461f, 0.000951f, 0.206808f, 0.137065f, 0.491951f, 0.133621f, 0.577048f, 0.050452f, 0.216557f, 0.064954f, 0.372812f, 0.251955f, 0.781880f, 0.299185f, 0.902087f,
0.149479f, 0.412110f, 0.002722f, 0.593426f, 0.384192f, 1.501093f, 0.406448f, 1.758800f, 0.144438f, 0.674902f, 0.201799f, 1.160584f, 0.373112f, 1.260433f, 0.480801f, 1.452605f,
0.013408f, 0.066644f, 0.000328f, 0.090717f, 0.019261f, 0.135674f, 0.027386f, 0.150272f, 0.000202f, 0.001702f, 0.000379f, 0.002767f, 0.047729f, 0.290678f, 0.082661f, 0.316675f,
0.032468f, 0.148042f, 0.000803f, 0.205070f, 0.066111f, 0.427204f, 0.095000f, 0.481513f, 0.038080f, 0.294278f, 0.072265f, 0.486809f, 0.102992f, 0.575418f, 0.180269f, 0.637934f,
0.010105f, 0.050734f, 0.000294f, 0.063210f, 0.028343f, 0.201664f, 0.047957f, 0.204446f, 0.010701f, 0.091058f, 0.023912f, 0.135486f, 0.058171f, 0.357862f, 0.119891f, 0.356848f,
0.039034f, 0.213334f, 0.001234f, 0.265505f, 0.116292f, 0.900737f, 0.213533f, 0.912149f, 0.044846f, 0.415403f, 0.108747f, 0.617398f, 0.126098f, 0.844460f, 0.282030f, 0.841136f,
0.192601f, 0.434406f, 0.003155f, 0.573126f, 0.196527f, 0.628183f, 0.187033f, 0.674366f, 0.002195f, 0.008392f, 0.002759f, 0.013222f, 0.543792f, 1.502858f, 0.630373f, 1.586889f,
0.559976f, 1.158660f, 0.009271f, 1.555608f, 0.809928f, 2.374985f, 0.779011f, 2.594540f, 0.496808f, 1.742214f, 0.631051f, 2.793369f, 1.408934f, 3.572114f, 1.650656f, 3.838342f,
0.174979f, 0.398656f, 0.003411f, 0.481414f, 0.348614f, 1.125606f, 0.394822f, 1.106017f, 0.140170f, 0.541245f, 0.209647f, 0.780542f, 0.798965f, 2.230432f, 1.102179f, 2.155675f,
0.365793f, 0.907219f, 0.007738f, 1.094337f, 0.774106f, 2.720851f, 0.951405f, 2.670542f, 0.317900f, 1.336270f, 0.515983f, 1.924935f, 0.937296f, 2.848405f, 1.403172f, 2.749890f,
0.121444f, 0.296324f, 0.002036f, 0.420043f, 0.165258f, 0.571453f, 0.160983f, 0.659118f, 0.001103f, 0.004562f, 0.001419f, 0.007723f, 0.261340f, 0.781347f, 0.310093f, 0.886432f,
0.191162f, 0.427899f, 0.003239f, 0.617245f, 0.368725f, 1.169686f, 0.363012f, 1.372907f, 0.135166f, 0.512783f, 0.175738f, 0.883350f, 0.366588f, 1.005461f, 0.439607f, 1.160797f,
0.001643f, 0.004051f, 0.000033f, 0.005256f, 0.004367f, 0.015252f, 0.005062f, 0.016102f, 0.001049f, 0.004383f, 0.001606f, 0.006791f, 0.005720f, 0.017273f, 0.008076f, 0.017937f,
0.207547f, 0.556859f, 0.004494f, 0.721700f, 0.585740f, 2.227211f, 0.736869f, 2.348706f, 0.143754f, 0.653694f, 0.238827f, 1.011740f, 0.405334f, 1.332570f, 0.621108f, 1.382216f,
0.303699f, 1.020246f, 0.004822f, 1.283603f, 0.391328f, 1.863073f, 0.361001f, 1.907267f, 0.002963f, 0.016873f, 0.003610f, 0.025351f, 0.597086f, 2.457800f, 0.670923f, 2.474839f,
0.671006f, 2.067940f, 0.010768f, 2.647607f, 1.225572f, 5.352762f, 1.142634f, 5.576338f, 0.509653f, 2.662025f, 0.627512f, 4.070151f, 1.175622f, 4.439428f, 1.335073f, 4.549011f,
0.217911f, 0.739465f, 0.004118f, 0.851549f, 0.548246f, 2.636581f, 0.601869f, 2.470519f, 0.149444f, 0.859492f, 0.216662f, 1.181997f, 0.692855f, 2.880901f, 0.926484f, 2.655182f,
0.636310f, 2.350553f, 0.013048f, 2.703838f, 1.700470f, 8.902214f, 2.025840f, 8.332289f, 0.473427f, 2.964019f, 0.744849f, 4.071689f, 1.135351f, 5.139012f, 1.647537f, 4.731128f,
0.068186f, 0.454093f, 0.001879f, 0.493776f, 0.101844f, 0.961200f, 0.163065f, 0.850462f, 0.000791f, 0.008929f, 0.001673f, 0.011595f, 0.173500f, 1.415792f, 0.338373f, 1.232138f,
0.128191f, 0.783172f, 0.003570f, 0.866627f, 0.271402f, 2.349854f, 0.439177f, 2.115785f, 0.115768f, 1.198710f, 0.247396f, 1.584061f, 0.290677f, 2.176002f, 0.572937f, 1.927119f,
0.038188f, 0.256892f, 0.001252f, 0.255683f, 0.111369f, 1.061740f, 0.212202f, 0.859854f, 0.031139f, 0.355024f, 0.078355f, 0.421980f, 0.157144f, 1.295312f, 0.364715f, 1.031810f,
0.163228f, 1.195326f, 0.005809f, 1.188383f, 0.505638f, 5.247571f, 1.045527f, 4.245062f, 0.144399f, 1.792174f, 0.394310f, 2.127812f, 0.376938f, 3.382276f, 0.949368f, 2.691247f,
0.452597f, 1.367787f, 0.008349f, 1.441551f, 0.480185f, 2.056563f, 0.514616f, 1.763638f, 0.003972f, 0.020345f, 0.005622f, 0.025606f, 0.913459f, 3.382543f, 1.192430f, 2.853182f,
1.021669f, 2.832478f, 0.019047f, 3.037861f, 1.536460f, 6.036773f, 1.664168f, 5.268195f, 0.697933f, 3.279409f, 0.998317f, 4.200296f, 1.837532f, 6.242215f, 2.424263f, 5.358147f,
0.305569f, 0.932807f, 0.006708f, 0.899848f, 0.632999f, 2.738505f, 0.807305f, 2.149545f, 0.188479f, 0.975149f, 0.317450f, 1.123392f, 0.997367f, 3.730659f, 1.549381f, 2.880298f,
0.706856f, 2.348967f, 0.016839f, 2.263463f, 1.555355f, 7.324926f, 2.152650f, 5.743220f, 0.473010f, 2.664052f, 0.864556f, 3.065647f, 1.294719f, 5.271930f, 2.182671f, 4.065750f,
0.060585f, 0.108418f, 0.000659f, 0.154579f, 0.073111f, 0.185414f, 0.046204f, 0.215104f, 0.000532f, 0.001613f, 0.000444f, 0.002747f, 0.181486f, 0.397944f, 0.139704f, 0.454096f,
0.090159f, 0.148010f, 0.000991f, 0.214750f, 0.154220f, 0.358797f, 0.098501f, 0.423590f, 0.061618f, 0.171440f, 0.051974f, 0.297055f, 0.240675f, 0.484129f, 0.187240f, 0.562181f,
0.000728f, 0.001316f, 0.000009f, 0.001717f, 0.001715f, 0.004393f, 0.001290f, 0.004665f, 0.000449f, 0.001376f, 0.000446f, 0.002144f, 0.003526f, 0.007810f, 0.003230f, 0.008157f,
0.104947f, 0.206511f, 0.001474f, 0.269203f, 0.262657f, 0.732468f, 0.214366f, 0.776927f, 0.070259f, 0.234316f, 0.075727f, 0.364771f, 0.285308f, 0.687913f, 0.283628f, 0.717701f,
0.061109f, 0.150560f, 0.000630f, 0.190528f, 0.069828f, 0.243817f, 0.041791f, 0.251055f, 0.000576f, 0.002407f, 0.000456f, 0.003637f, 0.167241f, 0.504889f, 0.121916f, 0.511353f,
0.127646f, 0.288509f, 0.001329f, 0.371535f, 0.206751f, 0.662261f, 0.125054f, 0.693944f, 0.093709f, 0.358974f, 0.074853f, 0.552060f, 0.311310f, 0.862173f, 0.229356f, 0.888605f,
0.038925f, 0.096874f, 0.000477f, 0.112208f, 0.086846f, 0.306308f, 0.061853f, 0.288689f, 0.025802f, 0.108833f, 0.024268f, 0.150542f, 0.172280f, 0.525366f, 0.149455f, 0.487026f,
0.129776f, 0.351593f, 0.001726f, 0.406794f, 0.307557f, 1.180856f, 0.237707f, 1.111700f, 0.093328f, 0.428529f, 0.095259f, 0.592104f, 0.322331f, 1.070026f, 0.303451f, 0.990841f,
0.000608f, 0.002969f, 0.000011f, 0.003247f, 0.000805f, 0.005574f, 0.000836f, 0.004960f, 0.000007f, 0.000056f, 0.000009f, 0.000074f, 0.002153f, 0.012886f, 0.002724f, 0.011280f,
0.001080f, 0.004841f, 0.000020f, 0.005388f, 0.002029f, 0.012882f, 0.002130f, 0.011666f, 0.000943f, 0.007162f, 0.001308f, 0.009520f, 0.003410f, 0.018724f, 0.004361f, 0.016679f,
0.000302f, 0.001491f, 0.000006f, 0.001493f, 0.000782f, 0.005465f, 0.000966f, 0.004452f, 0.000238f, 0.001992f, 0.000389f, 0.002381f, 0.001731f, 0.010466f, 0.002607f, 0.008386f,
0.001475f, 0.007922f, 0.000034f, 0.007922f, 0.004052f, 0.030842f, 0.005436f, 0.025095f, 0.001261f, 0.011481f, 0.002234f, 0.013710f, 0.004742f, 0.031204f, 0.007748f, 0.024973f,
0.146126f, 0.323874f, 0.001749f, 0.343330f, 0.137484f, 0.431845f, 0.095589f, 0.372495f, 0.001240f, 0.004656f, 0.001138f, 0.005895f, 0.410534f, 1.114925f, 0.347675f, 0.945924f,
0.311848f, 0.634076f, 0.003772f, 0.684017f, 0.415894f, 1.198420f, 0.292240f, 1.051938f, 0.205909f, 0.709577f, 0.191078f, 0.914131f, 0.780751f, 1.945176f, 0.668249f, 1.679419f,
0.087581f, 0.196080f, 0.001247f, 0.190254f, 0.160891f, 0.510486f, 0.133121f, 0.403034f, 0.052214f, 0.198126f, 0.057054f, 0.229576f, 0.397923f, 1.091622f, 0.401036f, 0.847712f,
0.231319f, 0.563767f, 0.003575f, 0.546412f, 0.451376f, 1.559032f, 0.405288f, 1.229509f, 0.149617f, 0.618008f, 0.177412f, 0.715317f, 0.589795f, 1.761317f, 0.645052f, 1.366258f,
0.067482f, 0.171491f, 0.000987f, 0.182565f, 0.069451f, 0.250124f, 0.059017f, 0.216664f, 0.000594f, 0.002558f, 0.000667f, 0.003252f, 0.176414f, 0.549328f, 0.182601f, 0.468040f,
0.152887f, 0.356428f, 0.002260f, 0.386134f, 0.223034f, 0.736886f, 0.191547f, 0.649564f, 0.104737f, 0.413836f, 0.118791f, 0.535398f, 0.356173f, 1.017442f, 0.372591f, 0.882166f,
0.001250f, 0.003208f, 0.000022f, 0.003126f, 0.002511f, 0.009135f, 0.002539f, 0.007243f, 0.000773f, 0.003363f, 0.001032f, 0.003913f, 0.005283f, 0.016618f, 0.006508f, 0.012960f,
0.169198f, 0.472810f, 0.003196f, 0.460201f, 0.361147f, 1.430219f, 0.396328f, 1.132712f, 0.113544f, 0.537748f, 0.164555f, 0.625062f, 0.401427f, 1.374500f, 0.536593f, 1.070731f,
0.114048f, 0.399035f, 0.001580f, 0.377039f, 0.111144f, 0.551107f, 0.089441f, 0.423709f, 0.001078f, 0.006394f, 0.001146f, 0.007215f, 0.272393f, 1.167795f, 0.267003f, 0.883113f,
0.362684f, 1.164129f, 0.005077f, 1.119350f, 0.501003f, 2.278981f, 0.407468f, 1.783042f, 0.266894f, 1.451906f, 0.286663f, 1.667195f, 0.771939f, 3.036012f, 0.764724f, 2.336378f,
0.111978f, 0.395762f, 0.001846f, 0.342275f, 0.213074f, 1.067229f, 0.204052f, 0.751025f, 0.074404f, 0.445679f, 0.094099f, 0.460305f, 0.432525f, 1.873088f, 0.504535f, 1.296504f,
0.350574f, 1.348786f, 0.006271f, 1.165208f, 0.708566f, 3.863412f, 0.736379f, 2.715732f, 0.252713f, 1.647849f, 0.346839f, 1.700046f, 0.759898f, 3.582335f, 0.961933f, 2.476857f,
0.040025f, 0.277616f, 0.000962f, 0.226715f, 0.045214f, 0.444440f, 0.063152f, 0.295328f, 0.000450f, 0.005289f, 0.000830f, 0.005158f, 0.123724f, 1.051509f, 0.210490f, 0.687262f,
0.108306f, 0.689150f, 0.002632f, 0.572714f, 0.173423f, 1.563858f, 0.244805f, 1.057493f, 0.094764f, 1.021960f, 0.176659f, 1.014241f, 0.298345f, 2.326104f, 0.512980f, 1.547135f,
0.030674f, 0.214912f, 0.000878f, 0.160643f, 0.067657f, 0.671781f, 0.112456f, 0.408586f, 0.024233f, 0.287760f, 0.053194f, 0.256871f, 0.153342f, 1.316430f, 0.310456f, 0.787540f,
0.140572f, 1.072144f, 0.004364f, 0.800521f, 0.329340f, 3.559793f, 0.594053f, 2.162719f, 0.120485f, 1.557436f, 0.287006f, 1.388714f, 0.394356f, 3.685439f, 0.866439f, 2.202335f,
0.157364f, 0.495306f, 0.002532f, 0.392044f, 0.126270f, 0.563245f, 0.118049f, 0.362756f, 0.001338f, 0.007138f, 0.001652f, 0.006747f, 0.385830f, 1.488031f, 0.439364f, 0.942644f,
0.511282f, 1.476312f, 0.008315f, 1.189129f, 0.581529f, 2.379668f, 0.549455f, 1.559635f, 0.338398f, 1.656039f, 0.422247f, 1.592959f, 1.117117f, 3.952428f, 1.285666f, 2.547941f,
0.145383f, 0.462229f, 0.002784f, 0.334876f, 0.227775f, 1.026310f, 0.253411f, 0.605008f, 0.086882f, 0.468166f, 0.127652f, 0.405051f, 0.576464f, 2.245765f, 0.781196f, 1.302164f,
0.360571f, 1.247954f, 0.007493f, 0.903119f, 0.600053f, 2.943235f, 0.724467f, 1.733113f, 0.233773f, 1.371286f, 0.372736f, 1.185105f, 0.802324f, 3.402554f, 1.179905f, 1.970723f,
0.001129f, 0.002056f, 0.000017f, 0.003648f, 0.001319f, 0.003405f, 0.001141f, 0.004917f, 0.000013f, 0.000042f, 0.000015f, 0.000088f, 0.003715f, 0.008290f, 0.003915f, 0.011774f,
0.002302f, 0.003846f, 0.000035f, 0.006944f, 0.003813f, 0.009028f, 0.003334f, 0.013265f, 0.002141f, 0.006063f, 0.002472f, 0.013074f, 0.006751f, 0.013819f, 0.007189f, 0.019971f,
0.000021f, 0.000038f, 0.000000f, 0.000062f, 0.000047f, 0.000124f, 0.000049f, 0.000163f, 0.000017f, 0.000054f, 0.000024f, 0.000106f, 0.000111f, 0.000249f, 0.000139f, 0.000324f,
0.002312f, 0.004630f, 0.000044f, 0.007512f, 0.005605f, 0.015905f, 0.006261f, 0.020997f, 0.002107f, 0.007151f, 0.003108f, 0.013854f, 0.006906f, 0.016945f, 0.009397f, 0.022002f,
0.001701f, 0.004266f, 0.000024f, 0.006719f, 0.001883f, 0.006690f, 0.001542f, 0.008574f, 0.000022f, 0.000093f, 0.000024f, 0.000175f, 0.005116f, 0.015716f, 0.005104f, 0.019810f,
0.004869f, 0.011200f, 0.000069f, 0.017950f, 0.007638f, 0.024898f, 0.006324f, 0.032470f, 0.004866f, 0.018967f, 0.005320f, 0.036303f, 0.013047f, 0.036769f, 0.013157f, 0.047165f,
0.001660f, 0.004205f, 0.000028f, 0.006062f, 0.003588f, 0.012877f, 0.003497f, 0.015104f, 0.001498f, 0.006430f, 0.001929f, 0.011069f, 0.008073f, 0.025053f, 0.009586f, 0.028905f,
0.004272f, 0.011779f, 0.000078f, 0.016961f, 0.009806f, 0.038312f, 0.010374f, 0.044890f, 0.004182f, 0.019540f, 0.005842f, 0.033601f, 0.011658f, 0.039381f, 0.015022f, 0.045385f,
0.000473f, 0.002350f, 0.000012f, 0.003200f, 0.000607f, 0.004273f, 0.000863f, 0.004733f, 0.000007f, 0.000061f, 0.000014f, 0.000099f, 0.001840f, 0.011207f, 0.003187f, 0.012210f,
0.001152f, 0.005251f, 0.000028f, 0.007274f, 0.002094f, 0.013531f, 0.003009f, 0.015252f, 0.001368f, 0.010573f, 0.002596f, 0.017491f, 0.003993f, 0.022311f, 0.006990f, 0.024735f,
0.000360f, 0.001808f, 0.000010f, 0.002253f, 0.000902f, 0.006419f, 0.001527f, 0.006508f, 0.000386f, 0.003288f, 0.000863f, 0.004892f, 0.002267f, 0.013945f, 0.004672f, 0.013905f,
0.001357f, 0.007415f, 0.000043f, 0.009228f, 0.003610f, 0.027958f, 0.006628f, 0.028312f, 0.001579f, 0.014626f, 0.003829f, 0.021738f, 0.004791f, 0.032087f, 0.010716f, 0.031961f,
0.004794f, 0.010813f, 0.000079f, 0.014266f, 0.004368f, 0.013963f, 0.004157f, 0.014990f, 0.000055f, 0.000212f, 0.000070f, 0.000333f, 0.014797f, 0.040894f, 0.017153f, 0.043180f,
0.014018f, 0.029004f, 0.000232f, 0.038941f, 0.018105f, 0.053091f, 0.017414f, 0.057999f, 0.012598f, 0.044178f, 0.016002f, 0.070833f, 0.038556f, 0.097751f, 0.045170f, 0.105037f,
0.004402f, 0.010029f, 0.000086f, 0.012111f, 0.007832f, 0.025287f, 0.008870f, 0.024847f, 0.003572f, 0.013793f, 0.005343f, 0.019891f, 0.021973f, 0.061340f, 0.030311f, 0.059284f,
0.008973f, 0.022255f, 0.000190f, 0.026845f, 0.016958f, 0.059603f, 0.020841f, 0.058501f, 0.007899f, 0.033205f, 0.012822f, 0.047833f, 0.025135f, 0.076384f, 0.037628f, 0.073742f,
0.136094f, 0.332070f, 0.002282f, 0.470713f, 0.165378f, 0.571866f, 0.161100f, 0.659594f, 0.001252f, 0.005179f, 0.001611f, 0.008767f, 0.320153f, 0.957184f, 0.379877f, 1.085917f,
0.215439f, 0.482239f, 0.003651f, 0.695631f, 0.371087f, 1.177179f, 0.365337f, 1.381702f, 0.154307f, 0.585398f, 0.200624f, 1.008441f, 0.451636f, 1.238728f, 0.541596f, 1.430101f,
0.001861f, 0.004588f, 0.000037f, 0.005952f, 0.004416f, 0.015427f, 0.005120f, 0.016286f, 0.001204f, 0.005029f, 0.001843f, 0.007791f, 0.007082f, 0.021387f, 0.009999f, 0.022208f,
0.229214f, 0.614994f, 0.004963f, 0.797044f, 0.577672f, 2.196536f, 0.726720f, 2.316357f, 0.160820f, 0.731300f, 0.267181f, 1.131854f, 0.489358f, 1.608808f, 0.749863f, 1.668746f,
0.270365f, 0.908265f, 0.004293f, 1.142717f, 0.311100f, 1.481116f, 0.286990f, 1.516250f, 0.002672f, 0.015216f, 0.003256f, 0.022861f, 0.581077f, 2.391901f, 0.652934f, 2.408483f,
0.600750f, 1.851421f, 0.009641f, 2.370395f, 0.979845f, 4.279534f, 0.913536f, 4.458283f, 0.462208f, 2.414210f, 0.569095f, 3.691251f, 1.150598f, 4.344933f, 1.306655f, 4.452183f,
0.196066f, 0.665336f, 0.003705f, 0.766183f, 0.440504f, 2.118437f, 0.483589f, 1.985010f, 0.136206f, 0.783359f, 0.197470f, 1.077296f, 0.681482f, 2.833611f, 0.911275f, 2.611597f,
0.558264f, 2.062248f, 0.011448f, 2.372201f, 1.332266f, 6.974614f, 1.587184f, 6.528095f, 0.420746f, 2.634193f, 0.661965f, 3.618605f, 1.088905f, 4.928778f, 1.580137f, 4.537581f,
0.073821f, 0.491625f, 0.002034f, 0.534587f, 0.098463f, 0.929296f, 0.157653f, 0.822233f, 0.000868f, 0.009793f, 0.001835f, 0.012716f, 0.205342f, 1.675626f, 0.400473f, 1.458267f,
0.139574f, 0.852718f, 0.003888f, 0.943583f, 0.263883f, 2.284759f, 0.427011f, 2.057173f, 0.127682f, 1.322081f, 0.272859f, 1.747092f, 0.345977f, 2.589978f, 0.681936f, 2.293747f,
0.041786f, 0.281096f, 0.001370f, 0.279773f, 0.108822f, 1.037464f, 0.207350f, 0.840194f, 0.034515f, 0.393512f, 0.086850f, 0.467726f, 0.187971f, 1.549413f, 0.436261f, 1.234220f,
0.174159f, 1.275376f, 0.006199f, 1.267968f, 0.481773f, 4.999900f, 0.996181f, 4.044707f, 0.156067f, 1.936991f, 0.426172f, 2.299750f, 0.439653f, 3.945024f, 1.107325f, 3.139021f,
0.345824f, 1.045107f, 0.006379f, 1.101470f, 0.327644f, 1.403253f, 0.351137f, 1.203381f, 0.003074f, 0.015747f, 0.004351f, 0.019819f, 0.762993f, 2.825366f, 0.996011f, 2.383203f,
0.785077f, 2.176549f, 0.014636f, 2.334370f, 1.054325f, 4.142457f, 1.141959f, 3.615057f, 0.543264f, 2.552661f, 0.777080f, 3.269471f, 1.543567f, 5.243599f, 2.036434f, 4.500962f,
0.235976f, 0.720360f, 0.005180f, 0.694907f, 0.436528f, 1.888524f, 0.556733f, 1.482367f, 0.147440f, 0.762824f, 0.248330f, 0.878789f, 0.841979f, 3.149431f, 1.307991f, 2.431554f,
0.532275f, 1.768815f, 0.012680f, 1.704429f, 1.045891f, 4.925611f, 1.447539f, 3.862000f, 0.360804f, 2.032095f, 0.659469f, 2.338425f, 1.065786f, 4.339743f, 1.796729f, 3.346840f,
0.131161f, 0.234713f, 0.001427f, 0.334649f, 0.215324f, 0.546074f, 0.136079f, 0.633517f, 0.001215f, 0.003686f, 0.001014f, 0.006275f, 0.349688f, 0.766762f, 0.269183f, 0.874955f,
0.160214f, 0.263017f, 0.001761f, 0.381614f, 0.372822f, 0.867383f, 0.238123f, 1.024018f, 0.115539f, 0.321467f, 0.097456f, 0.557007f, 0.380648f, 0.765690f, 0.296136f, 0.889135f,
0.001120f, 0.002025f, 0.000015f, 0.002643f, 0.003591f, 0.009200f, 0.002701f, 0.009769f, 0.000730f, 0.002235f, 0.000725f, 0.003483f, 0.004831f, 0.010700f, 0.004425f, 0.011175f,
0.191598f, 0.377019f, 0.002692f, 0.491473f, 0.652349f, 1.819196f, 0.532411f, 1.929617f, 0.135349f, 0.451392f, 0.145882f, 0.702704f, 0.463590f, 1.117773f, 0.460861f, 1.166176f,
0.151859f, 0.374150f, 0.001564f, 0.473474f, 0.236069f, 0.824272f, 0.141282f, 0.848744f, 0.001511f, 0.006311f, 0.001194f, 0.009537f, 0.369897f, 1.116691f, 0.269648f, 1.130987f,
0.260373f, 0.588505f, 0.002711f, 0.757862f, 0.573731f, 1.837764f, 0.347023f, 1.925685f, 0.201700f, 0.772655f, 0.161114f, 1.188251f, 0.565175f, 1.565253f, 0.416391f, 1.613239f,
0.068780f, 0.171176f, 0.000843f, 0.198271f, 0.208765f, 0.736318f, 0.148684f, 0.693964f, 0.048108f, 0.202921f, 0.045249f, 0.280690f, 0.270938f, 0.826225f, 0.235043f, 0.765929f,
0.271966f, 0.736815f, 0.003618f, 0.852498f, 0.876828f, 3.366557f, 0.677691f, 3.169397f, 0.206376f, 0.947612f, 0.210647f, 1.309327f, 0.601203f, 1.995782f, 0.565988f, 1.848088f,
0.001093f, 0.005337f, 0.000020f, 0.005837f, 0.001969f, 0.013629f, 0.002045f, 0.012129f, 0.000013f, 0.000107f, 0.000018f, 0.000140f, 0.003445f, 0.020616f, 0.004358f, 0.018046f,
0.001594f, 0.007143f, 0.000029f, 0.007950f, 0.004072f, 0.025856f, 0.004275f, 0.023417f, 0.001468f, 0.011151f, 0.002036f, 0.014821f, 0.004479f, 0.024589f, 0.005727f, 0.021903f,
0.000386f, 0.001906f, 0.000008f, 0.001908f, 0.001359f, 0.009503f, 0.001680f, 0.007741f, 0.000321f, 0.002686f, 0.000524f, 0.003212f, 0.001969f, 0.011906f, 0.002965f, 0.009539f,
0.002236f, 0.012009f, 0.000052f, 0.012008f, 0.008356f, 0.063601f, 0.011209f, 0.051750f, 0.002017f, 0.018363f, 0.003574f, 0.021929f, 0.006397f, 0.042098f, 0.010453f, 0.033692f,
0.353552f, 0.783613f, 0.004231f, 0.830688f, 0.452531f, 1.421428f, 0.314633f, 1.226074f, 0.003165f, 0.011888f, 0.002906f, 0.015049f, 0.884047f, 2.400888f, 0.748687f, 2.036960f,
0.619330f, 1.259276f, 0.007491f, 1.358460f, 1.123654f, 3.237866f, 0.789569f, 2.842106f, 0.431505f, 1.487000f, 0.400426f, 1.915665f, 1.380041f, 3.438258f, 1.181185f, 2.968511f,
0.150672f, 0.337333f, 0.002146f, 0.327311f, 0.376554f, 1.194759f, 0.311561f, 0.943273f, 0.094787f, 0.359666f, 0.103572f, 0.416758f, 0.609291f, 1.671467f, 0.614058f, 1.297998f,
0.471975f, 1.150290f, 0.007294f, 1.114881f, 1.252902f, 4.327464f, 1.124973f, 3.412793f, 0.322121f, 1.330559f, 0.381965f, 1.540061f, 1.071048f, 3.198493f, 1.171393f, 2.481080f,
0.202670f, 0.515039f, 0.002964f, 0.548298f, 0.283756f, 1.021936f, 0.241128f, 0.885230f, 0.001882f, 0.008107f, 0.002112f, 0.010306f, 0.471554f, 1.468353f, 0.488092f, 1.251069f,
0.376897f, 0.878666f, 0.005571f, 0.951897f, 0.747988f, 2.471284f, 0.642388f, 2.178433f, 0.272449f, 1.076494f, 0.309006f, 1.392710f, 0.781472f, 2.232347f, 0.817494f, 1.935540f,
0.002669f, 0.006850f, 0.000046f, 0.006675f, 0.007295f, 0.026539f, 0.007377f, 0.021042f, 0.001742f, 0.007578f, 0.002326f, 0.008818f, 0.010041f, 0.031584f, 0.012369f, 0.024631f,
0.428525f, 1.197476f, 0.008095f, 1.165542f, 1.244329f, 4.927804f, 1.365544f, 3.902745f, 0.303441f, 1.437114f, 0.439768f, 1.670457f, 0.904871f, 3.098311f, 1.209555f, 2.413574f,
0.393174f, 1.375651f, 0.005446f, 1.299821f, 0.521258f, 2.584662f, 0.419474f, 1.987169f, 0.003922f, 0.023259f, 0.004168f, 0.026245f, 0.835781f, 3.583137f, 0.819244f, 2.709651f,
1.026310f, 3.294211f, 0.014367f, 3.167499f, 1.928685f, 8.773274f, 1.568608f, 6.864082f, 0.796933f, 4.335316f, 0.855961f, 4.978159f, 1.944165f, 7.646346f, 1.925995f, 5.884282f,
0.274493f, 0.970132f, 0.004525f, 0.839019f, 0.710554f, 3.558971f, 0.680470f, 2.504501f, 0.192453f, 1.152790f, 0.243397f, 1.190623f, 0.943642f, 4.086531f, 1.100747f, 2.828592f,
1.019199f, 3.921228f, 0.018232f, 3.387524f, 2.802398f, 15.279900f, 2.912398f, 10.740790f, 0.775245f, 5.055082f, 1.063993f, 5.215204f, 1.966230f, 9.269260f, 2.488994f, 6.408845f,
0.099807f, 0.692269f, 0.002399f, 0.565340f, 0.153382f, 1.507697f, 0.214232f, 1.001855f, 0.001184f, 0.013917f, 0.002184f, 0.013572f, 0.274589f, 2.333689f, 0.467157f, 1.525290f,
0.221684f, 1.410578f, 0.005386f, 1.172254f, 0.482904f, 4.354630f, 0.681669f, 2.944635f, 0.204673f, 2.207238f, 0.381551f, 2.190567f, 0.543503f, 4.237529f, 0.934509f, 2.818459f,
0.054388f, 0.381057f, 0.001556f, 0.284833f, 0.163197f, 1.620421f, 0.271258f, 0.985562f, 0.045340f, 0.538385f, 0.099524f, 0.480591f, 0.241986f, 2.077435f, 0.489926f, 1.242803f,
0.295605f, 2.254577f, 0.009178f, 1.683390f, 0.942165f, 10.183740f, 1.699446f, 6.187035f, 0.267347f, 3.455843f, 0.636846f, 3.081460f, 0.738075f, 6.897650f, 1.621623f, 4.121879f,
0.528192f, 1.662493f, 0.008500f, 1.315895f, 0.576579f, 2.571898f, 0.539036f, 1.656421f, 0.004739f, 0.025281f, 0.005851f, 0.023897f, 1.152611f, 4.445271f, 1.312535f, 2.816009f,
1.408641f, 4.067410f, 0.022909f, 3.276189f, 2.179624f, 8.919215f, 2.059408f, 5.845656f, 0.983781f, 4.814400f, 1.227547f, 4.631013f, 2.739292f, 9.691783f, 3.152593f, 6.247829f,
0.346975f, 1.103171f, 0.006645f, 0.799226f, 0.739543f, 3.332230f, 0.822777f, 1.964344f, 0.218800f, 1.179009f, 0.321473f, 1.020063f, 1.224498f, 4.770348f, 1.659380f, 2.765995f,
1.020609f, 3.532376f, 0.021210f, 2.556307f, 2.310620f, 11.333490f, 2.789697f, 6.673681f, 0.698223f, 4.095698f, 1.113273f, 3.539622f, 2.021239f, 8.571822f, 2.972454f, 4.964708f,
0.092148f, 0.167806f, 0.001372f, 0.297766f, 0.146508f, 0.378101f, 0.126736f, 0.545925f, 0.001162f, 0.003586f, 0.001327f, 0.007600f, 0.269899f, 0.602240f, 0.284386f, 0.855289f,
0.154218f, 0.257635f, 0.002321f, 0.465226f, 0.347556f, 0.822852f, 0.303853f, 1.209028f, 0.151372f, 0.428590f, 0.174769f, 0.924238f, 0.402529f, 0.823978f, 0.428653f, 1.190827f,
0.001206f, 0.002218f, 0.000021f, 0.003603f, 0.003744f, 0.009759f, 0.003854f, 0.012897f, 0.001069f, 0.003332f, 0.001453f, 0.006463f, 0.005712f, 0.012875f, 0.007162f, 0.016736f,
0.159158f, 0.318704f, 0.003060f, 0.517060f, 0.524812f, 1.489332f, 0.586288f, 1.966080f, 0.153029f, 0.519350f, 0.225767f, 1.006230f, 0.423068f, 1.038048f, 0.575686f, 1.347864f,
0.159407f, 0.399669f, 0.002248f, 0.629460f, 0.239990f, 0.852734f, 0.196599f, 1.092792f, 0.002159f, 0.009175f, 0.002336f, 0.017257f, 0.426567f, 1.310471f, 0.425642f, 1.651849f,
0.374469f, 0.861307f, 0.005336f, 1.380435f, 0.799128f, 2.604870f, 0.661616f, 3.397032f, 0.394828f, 1.539132f, 0.431694f, 2.945892f, 0.892982f, 2.516707f, 0.900536f, 3.228235f,
0.110608f, 0.280128f, 0.001856f, 0.403823f, 0.325141f, 1.166992f, 0.316971f, 1.368856f, 0.105300f, 0.451986f, 0.135568f, 0.778111f, 0.478670f, 1.485432f, 0.568398f, 1.713804f,
0.337548f, 0.930610f, 0.006147f, 1.340049f, 1.053959f, 4.117975f, 1.115016f, 4.824947f, 0.348629f, 1.629005f, 0.487080f, 2.801292f, 0.819752f, 2.769254f, 1.056352f, 3.191468f,
0.032048f, 0.159288f, 0.000784f, 0.216826f, 0.055928f, 0.393950f, 0.079520f, 0.436339f, 0.000516f, 0.004348f, 0.000969f, 0.007068f, 0.110993f, 0.675965f, 0.192225f, 0.736421f,
0.064060f, 0.292093f, 0.001584f, 0.404612f, 0.158465f, 1.023983f, 0.227710f, 1.154160f, 0.080309f, 0.620614f, 0.152402f, 1.026649f, 0.197710f, 1.104609f, 0.346056f, 1.224618f,
0.017357f, 0.087143f, 0.000506f, 0.108574f, 0.059143f, 0.420813f, 0.100071f, 0.426617f, 0.019647f, 0.167180f, 0.043902f, 0.248749f, 0.097216f, 0.598057f, 0.200361f, 0.596363f,
0.077536f, 0.423768f, 0.002451f, 0.527400f, 0.280633f, 2.173641f, 0.515294f, 2.201182f, 0.095218f, 0.881994f, 0.230894f, 1.310874f, 0.243706f, 1.632060f, 0.545069f, 1.625635f,
0.437313f, 0.986346f, 0.007164f, 1.301318f, 0.542096f, 1.732771f, 0.515908f, 1.860163f, 0.005328f, 0.020366f, 0.006696f, 0.032088f, 1.201310f, 3.320014f, 1.392579f, 3.505651f,
1.049580f, 2.171712f, 0.017376f, 2.915722f, 1.844227f, 5.407901f, 1.773828f, 5.907834f, 0.995319f, 3.490399f, 1.264266f, 5.596312f, 2.569363f, 6.514186f, 3.010173f, 6.999686f,
0.285518f, 0.650499f, 0.005566f, 0.785536f, 0.691059f, 2.231291f, 0.782656f, 2.192460f, 0.244472f, 0.943994f, 0.365649f, 1.361357f, 1.268424f, 3.540998f, 1.749801f, 3.422316f,
0.690261f, 1.711947f, 0.014602f, 2.065044f, 1.774599f, 6.237416f, 2.181048f, 6.122086f, 0.641205f, 2.695255f, 1.040736f, 3.882592f, 1.720853f, 5.229602f, 2.576189f, 5.048730f,
0.332726f, 0.811852f, 0.005579f, 1.150810f, 0.550041f, 1.902007f, 0.535811f, 2.193787f, 0.003231f, 0.013360f, 0.004156f, 0.022616f, 0.696635f, 2.082776f, 0.826591f, 2.362891f,
0.432339f, 0.967751f, 0.007326f, 1.395982f, 1.013087f, 3.213761f, 0.997390f, 3.772121f, 0.326752f, 1.239606f, 0.424830f, 2.135418f, 0.806658f, 2.212466f, 0.967334f, 2.554274f,
0.003236f, 0.007975f, 0.000065f, 0.010348f, 0.010445f, 0.036483f, 0.012108f, 0.038515f, 0.002208f, 0.009224f, 0.003381f, 0.014292f, 0.010957f, 0.033089f, 0.015471f, 0.034360f,
0.472575f, 1.267943f, 0.010233f, 1.643279f, 1.620246f, 6.160810f, 2.038294f, 6.496883f, 0.349866f, 1.590950f, 0.581254f, 2.462357f, 0.897958f, 2.952115f, 1.375976f, 3.062100f,
0.758747f, 2.548934f, 0.012048f, 3.206892f, 1.187726f, 5.654646f, 1.095679f, 5.788779f, 0.007914f, 0.045058f, 0.009641f, 0.067698f, 1.451374f, 5.974327f, 1.630855f, 6.015744f,
1.383863f, 4.264857f, 0.022208f, 5.460343f, 3.070627f, 13.411150f, 2.862829f, 13.971320f, 1.123489f, 5.868216f, 1.383298f, 8.972316f, 2.358973f, 8.908041f, 2.678922f, 9.127928f,
0.391244f, 1.327658f, 0.007393f, 1.528895f, 1.195819f, 5.750839f, 1.312781f, 5.388630f, 0.286797f, 1.649445f, 0.415795f, 2.268362f, 1.210318f, 5.032519f, 1.618433f, 4.638220f,
1.321195f, 4.880548f, 0.027092f, 5.614088f, 4.289327f, 22.455270f, 5.110052f, 21.017670f, 1.050702f, 6.578199f, 1.653082f, 9.036506f, 2.293599f, 10.381660f, 3.328299f, 9.557668f,
0.149851f, 0.997958f, 0.004130f, 1.085170f, 0.271910f, 2.566275f, 0.435362f, 2.270619f, 0.001858f, 0.020975f, 0.003929f, 0.027238f, 0.370985f, 3.027304f, 0.723523f, 2.634606f,
0.232561f, 1.420815f, 0.006478f, 1.572217f, 0.598156f, 5.178967f, 0.967926f, 4.663089f, 0.224489f, 2.324460f, 0.479735f, 3.071707f, 0.513073f, 3.840859f, 1.011291f, 3.401557f,
0.060312f, 0.405726f, 0.001978f, 0.403817f, 0.213681f, 2.037146f, 0.407149f, 1.649790f, 0.052567f, 0.599332f, 0.132275f, 0.712363f, 0.241474f, 1.990423f, 0.560434f, 1.585517f,
0.298131f, 2.183227f, 0.010611f, 2.170546f, 1.121951f, 11.643740f, 2.319901f, 9.419293f, 0.281905f, 3.498809f, 0.769799f, 4.154064f, 0.669840f, 6.010496f, 1.687080f, 4.782499f,
0.944908f, 2.855591f, 0.017430f, 3.009593f, 1.217889f, 5.216046f, 1.305216f, 4.473102f, 0.008864f, 0.045400f, 0.012545f, 0.057142f, 1.855477f, 6.870838f, 2.422140f, 5.795567f,
1.760763f, 4.881541f, 0.032826f, 5.235502f, 3.216869f, 12.639130f, 3.484251f, 11.029960f, 1.285676f, 6.041065f, 1.839019f, 7.737449f, 3.081158f, 10.466900f, 4.064984f, 8.984497f,
0.458460f, 1.399536f, 0.010064f, 1.350086f, 1.153765f, 4.991460f, 1.471471f, 3.917966f, 0.302261f, 1.563834f, 0.509091f, 1.801569f, 1.455915f, 5.445861f, 2.261722f, 4.204539f,
1.226459f, 4.075673f, 0.029217f, 3.927316f, 3.278489f, 15.440010f, 4.537510f, 12.105970f, 0.877244f, 4.940747f, 1.603405f, 5.685545f, 2.185681f, 8.899812f, 3.684677f, 6.863598f,
0.027976f, 0.050063f, 0.000304f, 0.071378f, 0.046903f, 0.118949f, 0.029641f, 0.137996f, 0.000311f, 0.000942f, 0.000259f, 0.001605f, 0.094596f, 0.207421f, 0.072818f, 0.236689f,
0.045168f, 0.074150f, 0.000497f, 0.107585f, 0.107340f, 0.249730f, 0.068558f, 0.294827f, 0.039052f, 0.108657f, 0.032940f, 0.188269f, 0.136103f, 0.273776f, 0.105885f, 0.317915f,
0.000349f, 0.000631f, 0.000005f, 0.000824f, 0.001143f, 0.002928f, 0.000859f, 0.003109f, 0.000273f, 0.000835f, 0.000271f, 0.001301f, 0.001909f, 0.004228f, 0.001749f, 0.004416f,
0.059124f, 0.116341f, 0.000831f, 0.151659f, 0.205580f, 0.573298f, 0.167783f, 0.608096f, 0.050074f, 0.166999f, 0.053971f, 0.259976f, 0.181434f, 0.437460f, 0.180366f, 0.456403f,
0.040090f, 0.098773f, 0.000413f, 0.124993f, 0.063645f, 0.222225f, 0.038090f, 0.228823f, 0.000478f, 0.001997f, 0.000378f, 0.003019f, 0.123847f, 0.373886f, 0.090283f, 0.378673f,
0.090853f, 0.205349f, 0.000946f, 0.264443f, 0.204448f, 0.654883f, 0.123661f, 0.686214f, 0.084380f, 0.323235f, 0.067401f, 0.497098f, 0.250115f, 0.692695f, 0.184272f, 0.713932f,
0.026525f, 0.066014f, 0.000325f, 0.076463f, 0.082221f, 0.289994f, 0.058558f, 0.273313f, 0.022244f, 0.093823f, 0.020921f, 0.129781f, 0.132519f, 0.404116f, 0.114962f, 0.374624f,
0.103872f, 0.281411f, 0.001382f, 0.325594f, 0.342003f, 1.313112f, 0.264331f, 1.236210f, 0.094501f, 0.433916f, 0.096457f, 0.599547f, 0.291220f, 0.966746f, 0.274162f, 0.895204f,
0.000430f, 0.002098f, 0.000008f, 0.002294f, 0.000790f, 0.005471f, 0.000821f, 0.004869f, 0.000006f, 0.000050f, 0.000008f, 0.000066f, 0.001717f, 0.010278f, 0.002173f, 0.008997f,
0.000828f, 0.003711f, 0.000015f, 0.004131f, 0.002161f, 0.013719f, 0.002268f, 0.012425f, 0.000915f, 0.006946f, 0.001268f, 0.009232f, 0.002951f, 0.016202f, 0.003774f, 0.014433f,
0.000222f, 0.001094f, 0.000005f, 0.001096f, 0.000797f, 0.005573f, 0.000985f, 0.004539f, 0.000221f, 0.001849f, 0.000361f, 0.002211f, 0.001434f, 0.008671f, 0.002160f, 0.006947f,
0.001272f, 0.006829f, 0.000029f, 0.006829f, 0.004853f, 0.036937f, 0.006510f, 0.030055f, 0.001375f, 0.012520f, 0.002437f, 0.014951f, 0.004614f, 0.030363f, 0.007539f, 0.024300f,
0.091755f, 0.203366f, 0.001098f, 0.215583f, 0.119938f, 0.376734f, 0.083390f, 0.324957f, 0.000985f, 0.003699f, 0.000904f, 0.004683f, 0.290984f, 0.790251f, 0.246430f, 0.670465f,
0.212447f, 0.431966f, 0.002570f, 0.465989f, 0.393635f, 1.134279f, 0.276599f, 0.995638f, 0.177463f, 0.611549f, 0.164681f, 0.787844f, 0.600394f, 1.495833f, 0.513881f, 1.291467f,
0.057123f, 0.127890f, 0.000814f, 0.124091f, 0.145793f, 0.462584f, 0.120630f, 0.365214f, 0.043084f, 0.163482f, 0.047077f, 0.189432f, 0.292967f, 0.803696f, 0.295259f, 0.624120f,
0.177210f, 0.431895f, 0.002739f, 0.418599f, 0.480419f, 1.659343f, 0.431365f, 1.308617f, 0.145005f, 0.598958f, 0.171943f, 0.693266f, 0.510029f, 1.523112f, 0.557813f, 1.181482f,
0.042520f, 0.108054f, 0.000622f, 0.115031f, 0.060796f, 0.218955f, 0.051663f, 0.189665f, 0.000473f, 0.002039f, 0.000531f, 0.002592f, 0.125472f, 0.390702f, 0.129873f, 0.332887f,
0.104514f, 0.243655f, 0.001545f, 0.263962f, 0.211825f, 0.699851f, 0.181920f, 0.616918f, 0.090579f, 0.357894f, 0.102733f, 0.463024f, 0.274840f, 0.785107f, 0.287509f, 0.680721f,
0.000818f, 0.002099f, 0.000014f, 0.002046f, 0.002283f, 0.008307f, 0.002309f, 0.006586f, 0.000640f, 0.002784f, 0.000855f, 0.003240f, 0.003903f, 0.012277f, 0.004808f, 0.009574f,
0.130067f, 0.363462f, 0.002457f, 0.353769f, 0.385709f, 1.527490f, 0.423283f, 1.209748f, 0.110423f, 0.522969f, 0.160032f, 0.607882f, 0.348333f, 1.192707f, 0.465623f, 0.929114f,
0.102094f, 0.357209f, 0.001414f, 0.337519f, 0.138229f, 0.685410f, 0.111238f, 0.526965f, 0.001221f, 0.007241f, 0.001298f, 0.008171f, 0.275247f, 1.180032f, 0.269801f, 0.892367f,
0.352244f, 1.130621f, 0.004931f, 1.087131f, 0.676019f, 3.075103f, 0.549809f, 2.405915f, 0.327929f, 1.783932f, 0.352218f, 2.048454f, 0.846282f, 3.328401f, 0.838372f, 2.561387f,
0.104123f, 0.367998f, 0.001716f, 0.318263f, 0.275261f, 1.378706f, 0.263607f, 0.970216f, 0.087525f, 0.524272f, 0.110693f, 0.541478f, 0.453982f, 1.966011f, 0.529564f, 1.360822f,
0.382883f, 1.473090f, 0.006849f, 1.272593f, 1.075151f, 5.862190f, 1.117353f, 4.120745f, 0.349171f, 2.276812f, 0.479223f, 2.348931f, 0.936823f, 4.416399f, 1.185898f, 3.053536f,
0.038589f, 0.267655f, 0.000928f, 0.218580f, 0.060563f, 0.595315f, 0.084590f, 0.395582f, 0.000549f, 0.006451f, 0.001012f, 0.006291f, 0.134648f, 1.144351f, 0.229075f, 0.747943f,
0.113289f, 0.720856f, 0.002753f, 0.599063f, 0.252026f, 2.272663f, 0.355760f, 1.536792f, 0.125402f, 1.352360f, 0.233773f, 1.342146f, 0.352265f, 2.746503f, 0.605691f, 1.826750f,
0.030719f, 0.215224f, 0.000879f, 0.160876f, 0.094134f, 0.934676f, 0.156464f, 0.568483f, 0.030702f, 0.364573f, 0.067394f, 0.325438f, 0.173343f, 1.488142f, 0.350951f, 0.890265f,
0.165350f, 1.261125f, 0.005134f, 0.941624f, 0.538211f, 5.817449f, 0.970807f, 3.534336f, 0.179292f, 2.317601f, 0.427090f, 2.066528f, 0.523612f, 4.893394f, 1.150426f, 2.924181f,
0.134832f, 0.424386f, 0.002170f, 0.335910f, 0.150311f, 0.670482f, 0.140524f, 0.431822f, 0.001450f, 0.007737f, 0.001791f, 0.007314f, 0.373164f, 1.439181f, 0.424941f, 0.911699f,
0.475284f, 1.372367f, 0.007730f, 1.105405f, 0.751046f, 3.073346f, 0.709622f, 2.014272f, 0.397963f, 1.947540f, 0.496572f, 1.873356f, 1.172214f, 4.147365f, 1.349076f, 2.673608f,
0.129390f, 0.411382f, 0.002478f, 0.298038f, 0.281642f, 1.269022f, 0.313341f, 0.748086f, 0.097823f, 0.527122f, 0.143727f, 0.456059f, 0.579130f, 2.256150f, 0.784809f, 1.308186f,
0.376924f, 1.304551f, 0.007833f, 0.944076f, 0.871475f, 4.274547f, 1.052164f, 2.517050f, 0.309158f, 1.813484f, 0.492933f, 1.567266f, 0.946734f, 4.014979f, 1.392276f, 2.325433f,
0.014387f, 0.026199f, 0.000214f, 0.046490f, 0.023360f, 0.060287f, 0.020208f, 0.087046f, 0.000218f, 0.000671f, 0.000248f, 0.001423f, 0.053444f, 0.119253f, 0.056313f, 0.169361f,
0.031825f, 0.053167f, 0.000479f, 0.096006f, 0.073247f, 0.173416f, 0.064037f, 0.254802f, 0.037452f, 0.106040f, 0.043240f, 0.228670f, 0.105353f, 0.215658f, 0.112191f, 0.311673f,
0.000275f, 0.000506f, 0.000005f, 0.000822f, 0.000872f, 0.002273f, 0.000898f, 0.003004f, 0.000292f, 0.000911f, 0.000397f, 0.001767f, 0.001652f, 0.003724f, 0.002072f, 0.004841f,
0.035950f, 0.071989f, 0.000691f, 0.116793f, 0.121063f, 0.343558f, 0.135244f, 0.453534f, 0.041442f, 0.140646f, 0.061140f, 0.272499f, 0.121200f, 0.297379f, 0.164922f, 0.386134f,
0.030804f, 0.077232f, 0.000434f, 0.121637f, 0.047361f, 0.168284f, 0.038798f, 0.215659f, 0.000500f, 0.002126f, 0.000541f, 0.003998f, 0.104544f, 0.321175f, 0.104318f, 0.404841f,
0.095646f, 0.219992f, 0.001363f, 0.352586f, 0.208448f, 0.679466f, 0.172579f, 0.886097f, 0.120906f, 0.471322f, 0.132196f, 0.902107f, 0.289273f, 0.815264f, 0.291720f, 1.045757f,
0.031224f, 0.079078f, 0.000524f, 0.113996f, 0.093735f, 0.336433f, 0.091380f, 0.394629f, 0.035639f, 0.152973f, 0.045882f, 0.263349f, 0.171376f, 0.531824f, 0.203502f, 0.613587f,
0.094368f, 0.260171f, 0.001718f, 0.374638f, 0.300917f, 1.175729f, 0.318350f, 1.377577f, 0.116855f, 0.546016f, 0.163261f, 0.938948f, 0.290663f, 0.981906f, 0.374555f, 1.131612f,
0.009221f, 0.045832f, 0.000226f, 0.062387f, 0.016434f, 0.115760f, 0.023367f, 0.128216f, 0.000178f, 0.001500f, 0.000334f, 0.002438f, 0.040504f, 0.246674f, 0.070147f, 0.268736f,
0.024363f, 0.111085f, 0.000603f, 0.153877f, 0.061546f, 0.397704f, 0.088440f, 0.448263f, 0.036618f, 0.282975f, 0.069489f, 0.468111f, 0.095363f, 0.532795f, 0.166916f, 0.590679f,
0.007296f, 0.036628f, 0.000212f, 0.045636f, 0.025387f, 0.180637f, 0.042956f, 0.183128f, 0.009901f, 0.084248f, 0.022124f, 0.125354f, 0.051825f, 0.318818f, 0.106810f, 0.317915f,
0.032276f, 0.176402f, 0.001020f, 0.219542f, 0.119302f, 0.924053f, 0.219060f, 0.935761f, 0.047521f, 0.440184f, 0.115234f, 0.654229f, 0.128665f, 0.861646f, 0.287770f, 0.858254f,
0.083076f, 0.187376f, 0.001361f, 0.247211f, 0.105170f, 0.336170f, 0.100090f, 0.360884f, 0.001213f, 0.004639f, 0.001525f, 0.007308f, 0.289438f, 0.799910f, 0.335522f, 0.844636f,
0.263543f, 0.545304f, 0.004363f, 0.732120f, 0.472915f, 1.386747f, 0.454863f, 1.514945f, 0.299634f, 1.050759f, 0.380598f, 1.684729f, 0.818235f, 2.074496f, 0.958614f, 2.229107f,
0.079235f, 0.180523f, 0.001545f, 0.217998f, 0.195854f, 0.632374f, 0.221814f, 0.621369f, 0.081341f, 0.314085f, 0.121658f, 0.452949f, 0.446443f, 1.246314f, 0.615872f, 1.204542f,
0.189710f, 0.470509f, 0.004013f, 0.567554f, 0.498093f, 1.750713f, 0.612175f, 1.718342f, 0.211284f, 0.888116f, 0.342934f, 1.279356f, 0.599843f, 1.822899f, 0.897990f, 1.759852f,
0.092796f, 0.226422f, 0.001556f, 0.320956f, 0.156664f, 0.541734f, 0.152611f, 0.624839f, 0.001080f, 0.004467f, 0.001390f, 0.007562f, 0.246413f, 0.736716f, 0.292381f, 0.835798f,
0.159374f, 0.356744f, 0.002701f, 0.514604f, 0.381393f, 1.209870f, 0.375483f, 1.420074f, 0.144412f, 0.547859f, 0.187759f, 0.943774f, 0.377136f, 1.034393f, 0.452257f, 1.194199f,
0.001318f, 0.003249f, 0.000026f, 0.004216f, 0.004346f, 0.015180f, 0.005038f, 0.016025f, 0.001079f, 0.004506f, 0.001651f, 0.006981f, 0.005662f, 0.017098f, 0.007994f, 0.017755f,
0.190680f, 0.511604f, 0.004129f, 0.663049f, 0.667649f, 2.538661f, 0.839912f, 2.677145f, 0.169250f, 0.769632f, 0.281185f, 1.191180f, 0.459523f, 1.510720f, 0.704144f, 1.567004f,
0.261911f, 0.879862f, 0.004159f, 1.106982f, 0.418702f, 1.993398f, 0.386253f, 2.040683f, 0.003275f, 0.018647f, 0.003990f, 0.028017f, 0.635407f, 2.615540f, 0.713983f, 2.633672f,
0.631394f, 1.945862f, 0.010132f, 2.491309f, 1.430761f, 6.248937f, 1.333937f, 6.509945f, 0.614565f, 3.210005f, 0.756685f, 4.907995f, 1.365044f, 5.154731f, 1.550186f, 5.281971f,
0.197290f, 0.669489f, 0.003728f, 0.770965f, 0.615822f, 2.961561f, 0.676054f, 2.775031f, 0.173390f, 0.997210f, 0.251379f, 1.371391f, 0.774056f, 3.218537f, 1.035066f, 2.966364f,
0.659806f, 2.437349f, 0.013530f, 2.803680f, 2.187614f, 11.452490f, 2.606195f, 10.719290f, 0.629101f, 3.938657f, 0.989773f, 5.410553f, 1.452723f, 6.575552f, 2.108083f, 6.053650f,
0.077020f, 0.512926f, 0.002123f, 0.557750f, 0.142725f, 1.347031f, 0.228521f, 1.191842f, 0.001145f, 0.012925f, 0.002421f, 0.016784f, 0.241833f, 1.973396f, 0.471640f, 1.717410f,
0.157990f, 0.965230f, 0.004401f, 1.068085f, 0.414992f, 3.593097f, 0.671534f, 3.235188f, 0.182844f, 1.893247f, 0.390739f, 2.501872f, 0.442068f, 3.309314f, 0.871336f, 2.930808f,
0.045284f, 0.304632f, 0.001485f, 0.303198f, 0.163848f, 1.562058f, 0.312196f, 1.265039f, 0.047320f, 0.539513f, 0.119073f, 0.641263f, 0.229947f, 1.895415f, 0.533683f, 1.509836f,
0.221688f, 1.623431f, 0.007890f, 1.614002f, 0.852003f, 8.842192f, 1.761720f, 7.152958f, 0.251322f, 3.119228f, 0.686285f, 3.703395f, 0.631717f, 5.668412f, 1.591061f, 4.510306f,
0.320651f, 0.969034f, 0.005915f, 1.021294f, 0.422069f, 1.807661f, 0.452333f, 1.550188f, 0.003606f, 0.018471f, 0.005104f, 0.023248f, 0.798574f, 2.957121f, 1.042458f, 2.494338f,
0.789760f, 2.189533f, 0.014724f, 2.348296f, 1.473534f, 5.789538f, 1.596013f, 5.052438f, 0.691382f, 3.248627f, 0.988946f, 4.160871f, 1.752769f, 5.954271f, 2.312435f, 5.110983f,
0.227272f, 0.693790f, 0.004989f, 0.669276f, 0.584109f, 2.526992f, 0.744951f, 1.983522f, 0.179646f, 0.929451f, 0.302574f, 1.070747f, 0.915369f, 3.423944f, 1.421999f, 2.643495f,
0.602129f, 2.000946f, 0.014344f, 1.928111f, 1.643775f, 7.741337f, 2.275025f, 6.069713f, 0.516355f, 2.908176f, 0.943781f, 3.346572f, 1.360940f, 5.541573f, 2.294308f, 4.273701f,
0.125678f, 0.224900f, 0.001367f, 0.320657f, 0.169833f, 0.430707f, 0.107330f, 0.499676f, 0.001089f, 0.003304f, 0.000909f, 0.005625f, 0.344385f, 0.755133f, 0.265101f, 0.861686f,
0.231992f, 0.380851f, 0.002550f, 0.552581f, 0.444377f, 1.033858f, 0.283825f, 1.220555f, 0.156521f, 0.435493f, 0.132023f, 0.754579f, 0.566508f, 1.139556f, 0.440731f, 1.323278f,
0.001267f, 0.002289f, 0.000016f, 0.002988f, 0.003342f, 0.008561f, 0.002513f, 0.009091f, 0.000772f, 0.002364f, 0.000766f, 0.003684f, 0.005613f, 0.012432f, 0.005142f, 0.012985f,
0.195896f, 0.385475f, 0.002752f, 0.502495f, 0.549023f, 1.531054f, 0.448082f, 1.623985f, 0.129468f, 0.431777f, 0.139543f, 0.672168f, 0.487167f, 1.174620f, 0.484299f, 1.225485f,
0.131067f, 0.322922f, 0.001350f, 0.408646f, 0.167714f, 0.585599f, 0.100373f, 0.602984f, 0.001220f, 0.005096f, 0.000965f, 0.007701f, 0.328128f, 0.990593f, 0.239200f, 1.003275f,
0.339600f, 0.767576f, 0.003536f, 0.988464f, 0.615967f, 1.973054f, 0.372569f, 2.067447f, 0.246121f, 0.942820f, 0.196597f, 1.449945f, 0.757643f, 2.098296f, 0.558191f, 2.162624f,
0.070035f, 0.174299f, 0.000859f, 0.201888f, 0.174980f, 0.617157f, 0.124622f, 0.581658f, 0.045830f, 0.193309f, 0.043105f, 0.267394f, 0.283552f, 0.864693f, 0.245986f, 0.801590f,
0.250464f, 0.678563f, 0.003332f, 0.785101f, 0.664698f, 2.552091f, 0.513738f, 2.402630f, 0.177813f, 0.816460f, 0.181493f, 1.128113f, 0.569068f, 1.889106f, 0.535736f, 1.749306f,
0.001246f, 0.006087f, 0.000022f, 0.006658f, 0.001849f, 0.012795f, 0.001920f, 0.011387f, 0.000014f, 0.000114f, 0.000019f, 0.000149f, 0.004038f, 0.024167f, 0.005109f, 0.021154f,
0.002748f, 0.012311f, 0.000050f, 0.013703f, 0.005777f, 0.036684f, 0.006065f, 0.033222f, 0.002368f, 0.017980f, 0.003283f, 0.023899f, 0.007934f, 0.043558f, 0.010145f, 0.038801f,
0.000520f, 0.002564f, 0.000011f, 0.002567f, 0.001505f, 0.010525f, 0.001861f, 0.008574f, 0.000404f, 0.003382f, 0.000660f, 0.004043f, 0.002724f, 0.016466f, 0.004101f, 0.013192f,
0.002721f, 0.014614f, 0.000063f, 0.014614f, 0.008371f, 0.063713f, 0.011229f, 0.051841f, 0.002297f, 0.020908f, 0.004069f, 0.024968f, 0.008002f, 0.052657f, 0.013074f, 0.042143f,
0.337359f, 0.747724f, 0.004037f, 0.792643f, 0.355440f, 1.116459f, 0.247128f, 0.963019f, 0.002825f, 0.010612f, 0.002594f, 0.013435f, 0.867014f, 2.354631f, 0.734262f, 1.997715f,
0.893062f, 1.815852f, 0.010801f, 1.958873f, 1.333738f, 3.843232f, 0.937190f, 3.373479f, 0.582128f, 2.006056f, 0.540200f, 2.584352f, 2.045327f, 5.095763f, 1.750607f, 4.399562f,
0.169619f, 0.379752f, 0.002416f, 0.368469f, 0.348936f, 1.107131f, 0.288710f, 0.874091f, 0.099830f, 0.378802f, 0.109082f, 0.438931f, 0.704980f, 1.933970f, 0.710495f, 1.501848f,
0.480551f, 1.171192f, 0.007427f, 1.135138f, 1.050064f, 3.626871f, 0.942846f, 2.860281f, 0.306840f, 1.267439f, 0.363845f, 1.467003f, 1.120832f, 3.347165f, 1.225842f, 2.596406f,
0.292175f, 0.742495f, 0.004274f, 0.790442f, 0.336727f, 1.212707f, 0.286140f, 1.050480f, 0.002539f, 0.010934f, 0.002849f, 0.013900f, 0.698710f, 2.175682f, 0.723214f, 1.853729f,
0.821101f, 1.914245f, 0.012138f, 2.073783f, 1.341362f, 4.431740f, 1.151990f, 3.906573f, 0.555304f, 2.194106f, 0.629814f, 2.838616f, 1.749839f, 4.998578f, 1.830499f, 4.333980f,
0.004539f, 0.011651f, 0.000079f, 0.011353f, 0.010213f, 0.037156f, 0.010328f, 0.029459f, 0.002772f, 0.012058f, 0.003701f, 0.014031f, 0.017553f, 0.055212f, 0.021622f, 0.043058f,
0.659190f, 1.842049f, 0.012452f, 1.792926f, 1.575607f, 6.239734f, 1.729093f, 4.941774f, 0.436698f, 2.068227f, 0.632894f, 2.404043f, 1.430646f, 4.898586f, 1.912368f, 3.815982f,
0.510550f, 1.786328f, 0.007072f, 1.687861f, 0.557166f, 2.762708f, 0.448369f, 2.124056f, 0.004765f, 0.028256f, 0.005064f, 0.031884f, 1.115467f, 4.782199f, 1.093396f, 3.616409f,
2.013962f, 6.464340f, 0.028193f, 6.215688f, 3.115388f, 14.171400f, 2.533759f, 11.087490f, 1.463076f, 7.959136f, 1.571444f, 9.139321f, 3.921183f, 15.421900f, 3.884535f, 11.868000f,
0.420519f, 1.486226f, 0.006932f, 1.285363f, 0.896044f, 4.488038f, 0.858106f, 3.158299f, 0.275836f, 1.652253f, 0.348852f, 1.706477f, 1.485842f, 6.434575f, 1.733216f, 4.453848f,
1.412189f, 5.433201f, 0.025261f, 4.693707f, 3.196257f, 17.427390f, 3.321717f, 12.250340f, 1.004952f, 6.552912f, 1.379256f, 6.760479f, 2.800136f, 13.200490f, 3.544613f, 9.126930f,
0.171265f, 1.187905f, 0.004117f, 0.970100f, 0.216650f, 2.129606f, 0.302601f, 1.415109f, 0.001901f, 0.022342f, 0.003506f, 0.021789f, 0.484284f, 4.115865f, 0.823912f, 2.690113f,
0.574859f, 3.657832f, 0.013967f, 3.039823f, 1.030780f, 9.295144f, 1.455052f, 6.285448f, 0.496546f, 5.354863f, 0.925659f, 5.314418f, 1.448572f, 11.294070f, 2.490701f, 7.511896f,
0.110105f, 0.771433f, 0.003150f, 0.576632f, 0.271955f, 2.700312f, 0.452031f, 1.642366f, 0.085873f, 1.019701f, 0.188498f, 0.910241f, 0.503512f, 4.322614f, 1.019410f, 2.585957f,
0.541253f, 4.128124f, 0.016804f, 3.082282f, 1.420015f, 15.348750f, 2.561375f, 9.324990f, 0.457968f, 5.919895f, 1.090924f, 5.278573f, 1.388991f, 12.980760f, 3.051748f, 7.757006f,
0.758287f, 2.386719f, 0.012202f, 1.889134f, 0.681362f, 3.039300f, 0.636997f, 1.957449f, 0.006365f, 0.033955f, 0.007859f, 0.032096f, 1.700730f, 6.559202f, 1.936706f, 4.155151f,
3.056059f, 8.824279f, 0.049701f, 7.107718f, 3.892432f, 15.928180f, 3.677747f, 10.439330f, 1.996790f, 9.771830f, 2.491564f, 9.399609f, 6.108166f, 21.611070f, 7.029759f, 13.931620f,
0.587680f, 1.868467f, 0.011254f, 1.353668f, 1.031060f, 4.645747f, 1.147104f, 2.738660f, 0.346706f, 1.868237f, 0.509401f, 1.616374f, 2.131629f, 8.304312f, 2.888681f, 4.815098f,
1.563441f, 5.411145f, 0.032490f, 3.915933f, 2.913593f, 14.291050f, 3.517690f, 8.415227f, 1.000666f, 5.869790f, 1.595499f, 5.072845f, 3.182374f, 13.496050f, 4.680029f, 7.816768f,
0.112259f, 0.204428f, 0.001671f, 0.362752f, 0.146917f, 0.379158f, 0.127090f, 0.547451f, 0.001324f, 0.004087f, 0.001513f, 0.008662f, 0.337945f, 0.754075f, 0.356085f, 1.070923f,
0.283915f, 0.474307f, 0.004272f, 0.856481f, 0.526691f, 1.246963f, 0.460464f, 1.832180f, 0.260719f, 0.738190f, 0.301016f, 1.591878f, 0.761662f, 1.559123f, 0.811092f, 2.253272f,
0.001733f, 0.003188f, 0.000031f, 0.005178f, 0.004429f, 0.011546f, 0.004559f, 0.015259f, 0.001437f, 0.004480f, 0.001954f, 0.008690f, 0.008438f, 0.019019f, 0.010581f, 0.024723f,
0.206891f, 0.414287f, 0.003978f, 0.672134f, 0.561561f, 1.593619f, 0.627341f, 2.103750f, 0.186107f, 0.631608f, 0.274566f, 1.223727f, 0.565244f, 1.386895f, 0.769150f, 1.800827f,
0.174921f, 0.438564f, 0.002466f, 0.690719f, 0.216773f, 0.770238f, 0.177580f, 0.987071f, 0.002217f, 0.009420f, 0.002398f, 0.017717f, 0.481096f, 1.477991f, 0.480052f, 1.863008f,
0.620967f, 1.428272f, 0.008849f, 2.289122f, 1.090806f, 3.555635f, 0.903102f, 4.636932f, 0.612538f, 2.387819f, 0.669733f, 4.570274f, 1.521972f, 4.289403f, 1.534847f, 5.502110f,
0.143193f, 0.362653f, 0.002403f, 0.522787f, 0.346484f, 1.243599f, 0.337778f, 1.458713f, 0.127537f, 0.547433f, 0.164196f, 0.942428f, 0.636915f, 1.976506f, 0.756307f, 2.280376f,
0.395229f, 1.089636f, 0.007197f, 1.569042f, 1.015818f, 3.968952f, 1.074665f, 4.650339f, 0.381901f, 1.784468f, 0.533564f, 3.068632f, 0.986524f, 3.332637f, 1.271259f, 3.840746f,
0.046472f, 0.230978f, 0.001137f, 0.314412f, 0.066757f, 0.470226f, 0.094917f, 0.520822f, 0.000700f, 0.005899f, 0.001315f, 0.009589f, 0.165422f, 1.007448f, 0.286490f, 1.097551f,
0.140377f, 0.640070f, 0.003472f, 0.886636f, 0.285837f, 1.847047f, 0.410740f, 2.081857f, 0.164643f, 1.272333f, 0.312443f, 2.104754f, 0.445294f, 2.487864f, 0.779408f, 2.758155f,
0.029694f, 0.149081f, 0.000865f, 0.185744f, 0.083285f, 0.592591f, 0.140921f, 0.600764f, 0.031446f, 0.267574f, 0.070266f, 0.398126f, 0.170937f, 1.051579f, 0.352299f, 1.048600f,
0.119970f, 0.655686f, 0.003792f, 0.816034f, 0.357424f, 2.768432f, 0.656298f, 2.803509f, 0.137834f, 1.276749f, 0.334236f, 1.897584f, 0.387566f, 2.595465f, 0.866824f, 2.585248f,
0.530535f, 1.196606f, 0.008691f, 1.578720f, 0.541348f, 1.730378f, 0.515196f, 1.857594f, 0.006047f, 0.023116f, 0.007600f, 0.036420f, 1.497918f, 4.139738f, 1.736412f, 4.371209f,
1.924229f, 3.981473f, 0.031857f, 5.345491f, 2.783133f, 8.161094f, 2.676894f, 8.915545f, 1.707168f, 5.986721f, 2.168464f, 9.598775f, 4.841480f, 12.274760f, 5.672104f, 13.189590f,
0.408654f, 0.931041f, 0.007966f, 1.124317f, 0.814172f, 2.628797f, 0.922086f, 2.583048f, 0.327359f, 1.264050f, 0.489620f, 1.822918f, 1.865942f, 5.209062f, 2.574083f, 5.034472f,
0.893544f, 2.216117f, 0.018903f, 2.673201f, 1.890953f, 6.646383f, 2.324052f, 6.523490f, 0.776554f, 3.264185f, 1.260421f, 4.702152f, 2.289589f, 6.957966f, 3.427609f, 6.717317f,
0.396972f, 0.968610f, 0.006656f, 1.373016f, 0.540189f, 1.867938f, 0.526214f, 2.154492f, 0.003606f, 0.014912f, 0.004639f, 0.025244f, 0.854257f, 2.554030f, 1.013618f, 2.897525f,
0.779500f, 1.744840f, 0.013209f, 2.516934f, 1.503547f, 4.769620f, 1.480250f, 5.598295f, 0.551167f, 2.090971f, 0.716605f, 3.602031f, 1.494833f, 4.099962f, 1.792584f, 4.733373f,
0.004555f, 0.011226f, 0.000091f, 0.014565f, 0.012102f, 0.042270f, 0.014029f, 0.044626f, 0.002908f, 0.012147f, 0.004452f, 0.018821f, 0.015851f, 0.047871f, 0.022382f, 0.049709f,
0.601622f, 1.614183f, 0.013027f, 2.092012f, 1.697900f, 6.456081f, 2.135984f, 6.808261f, 0.416703f, 1.894882f, 0.692295f, 2.932760f, 1.174953f, 3.862758f, 1.800425f, 4.006670f,
0.815395f, 2.739239f, 0.012947f, 3.446321f, 1.050669f, 5.002131f, 0.969244f, 5.120786f, 0.007957f, 0.045301f, 0.009693f, 0.068064f, 1.603106f, 6.598902f, 1.801350f, 6.644649f,
2.247420f, 6.926210f, 0.036066f, 8.867703f, 4.104843f, 17.928150f, 3.827057f, 18.676980f, 1.706995f, 8.915995f, 2.101742f, 13.632270f, 3.937544f, 14.869100f, 4.471596f, 15.236130f,
0.496044f, 1.683289f, 0.009373f, 1.938430f, 1.248004f, 6.001804f, 1.370070f, 5.623788f, 0.340188f, 1.956513f, 0.493201f, 2.690649f, 1.577187f, 6.557963f, 2.109009f, 6.044146f,
1.515023f, 5.596554f, 0.031067f, 6.437709f, 4.048737f, 21.195740f, 4.823427f, 19.838780f, 1.127208f, 7.057187f, 1.773450f, 9.694495f, 2.703217f, 12.235740f, 3.922706f, 11.264590f,
0.212807f, 1.417222f, 0.005865f, 1.541072f, 0.317854f, 2.999900f, 0.508926f, 2.654286f, 0.002469f, 0.027868f, 0.005221f, 0.036188f, 0.541494f, 4.418680f, 1.056060f, 3.845496f,
0.499093f, 3.049177f, 0.013901f, 3.374097f, 1.056666f, 9.148849f, 1.709880f, 8.237530f, 0.450726f, 4.667019f, 0.963206f, 6.167334f, 1.131712f, 8.471977f, 2.230655f, 7.502987f,
0.101049f, 0.679766f, 0.003314f, 0.676566f, 0.294694f, 2.809484f, 0.561510f, 2.275271f, 0.082397f, 0.939434f, 0.207337f, 1.116607f, 0.415822f, 3.427543f, 0.965078f, 2.730287f,
0.451766f, 3.308301f, 0.016079f, 3.289085f, 1.399452f, 14.523690f, 2.893701f, 11.749050f, 0.399652f, 4.960195f, 1.091330f, 5.889138f, 1.043250f, 9.361116f, 2.627562f, 7.448558f,
1.122664f, 3.392782f, 0.020709f, 3.575755f, 1.191093f, 5.101285f, 1.276499f, 4.374687f, 0.009853f, 0.050465f, 0.013945f, 0.063517f, 2.265827f, 8.390367f, 2.957811f, 7.077293f,
3.161408f, 8.764692f, 0.058939f, 9.400221f, 4.754352f, 18.679920f, 5.149528f, 16.301670f, 2.159651f, 10.147660f, 3.089147f, 12.997210f, 5.685976f, 19.315630f, 7.501530f, 16.580010f,
0.642632f, 1.961756f, 0.014107f, 1.892441f, 1.331240f, 5.759260f, 1.697817f, 4.520638f, 0.396383f, 2.050804f, 0.667619f, 2.362568f, 2.097530f, 7.845826f, 3.258452f, 6.057460f,
1.554869f, 5.167019f, 0.037041f, 4.978936f, 3.421312f, 16.112630f, 4.735180f, 12.633350f, 1.040480f, 5.860111f, 1.901763f, 6.743499f, 2.847992f, 11.596660f, 4.801218f, 8.943424f,
0.015396f, 0.027551f, 0.000167f, 0.039281f, 0.018579f, 0.047117f, 0.011741f, 0.054662f, 0.000135f, 0.000410f, 0.000113f, 0.000698f, 0.046119f, 0.101125f, 0.035501f, 0.115394f,
0.029089f, 0.047754f, 0.000320f, 0.069287f, 0.049757f, 0.115762f, 0.031780f, 0.136666f, 0.019880f, 0.055313f, 0.016769f, 0.095842f, 0.077651f, 0.156199f, 0.060411f, 0.181382f,
0.000342f, 0.000618f, 0.000004f, 0.000806f, 0.000805f, 0.002063f, 0.000606f, 0.002190f, 0.000211f, 0.000646f, 0.000209f, 0.001007f, 0.001656f, 0.003667f, 0.001517f, 0.003830f,
0.045868f, 0.090257f, 0.000644f, 0.117656f, 0.114796f, 0.320129f, 0.093690f, 0.339560f, 0.030707f, 0.102409f, 0.033097f, 0.159425f, 0.124695f, 0.300656f, 0.123961f, 0.313675f,
0.015907f, 0.039192f, 0.000164f, 0.049596f, 0.018177f, 0.063467f, 0.010878f, 0.065352f, 0.000150f, 0.000626f, 0.000119f, 0.000947f, 0.043534f, 0.131426f, 0.031736f, 0.133109f,
0.042187f, 0.095352f, 0.000439f, 0.122791f, 0.068331f, 0.218875f, 0.041330f, 0.229347f, 0.030971f, 0.118640f, 0.024739f, 0.182454f, 0.102887f, 0.284946f, 0.075802f, 0.293681f,
0.018721f, 0.046592f, 0.000229f, 0.053967f, 0.041769f, 0.147320f, 0.029748f, 0.138846f, 0.012410f, 0.052344f, 0.011672f, 0.072404f, 0.082858f, 0.252677f, 0.071881f, 0.234237f,
0.058101f, 0.157408f, 0.000773f, 0.182122f, 0.137693f, 0.528669f, 0.106422f, 0.497708f, 0.041783f, 0.191852f, 0.042647f, 0.265085f, 0.144308f, 0.479051f, 0.135855f, 0.443599f,
0.000123f, 0.000603f, 0.000002f, 0.000659f, 0.000163f, 0.001131f, 0.000170f, 0.001007f, 0.000001f, 0.000011f, 0.000002f, 0.000015f, 0.000437f, 0.002615f, 0.000553f, 0.002289f,
0.000278f, 0.001247f, 0.000005f, 0.001388f, 0.000523f, 0.003319f, 0.000549f, 0.003006f, 0.000243f, 0.001846f, 0.000337f, 0.002453f, 0.000879f, 0.004825f, 0.001124f, 0.004298f,
0.000113f, 0.000559f, 0.000002f, 0.000560f, 0.000293f, 0.002049f, 0.000362f, 0.001669f, 0.000089f, 0.000747f, 0.000146f, 0.000893f, 0.000649f, 0.003925f, 0.000977f, 0.003144f,
0.000515f, 0.002765f, 0.000012f, 0.002765f, 0.001414f, 0.010765f, 0.001897f, 0.008759f, 0.000440f, 0.004007f, 0.000780f, 0.004785f, 0.001655f, 0.010892f, 0.002704f, 0.008717f,
0.044706f, 0.099087f, 0.000535f, 0.105040f, 0.042063f, 0.132121f, 0.029245f, 0.113963f, 0.000379f, 0.001425f, 0.000348f, 0.001803f, 0.125601f, 0.341106f, 0.106370f, 0.289401f,
0.121134f, 0.246301f, 0.001465f, 0.265700f, 0.161550f, 0.465515f, 0.113518f, 0.408616f, 0.079983f, 0.275629f, 0.074223f, 0.355085f, 0.303275f, 0.755585f, 0.259575f, 0.652355f,
0.049507f, 0.110839f, 0.000705f, 0.107546f, 0.090948f, 0.288565f, 0.075250f, 0.227825f, 0.029516f, 0.111996f, 0.032251f, 0.129774f, 0.224936f, 0.617067f, 0.226696f, 0.479191f,
0.121718f, 0.296649f, 0.001881f, 0.287517f, 0.237510f, 0.820349f, 0.213259f, 0.646957f, 0.078727f, 0.325191f, 0.093353f, 0.376393f, 0.310345f, 0.926790f, 0.339421f, 0.718913f,
0.012459f, 0.031661f, 0.000182f, 0.033706f, 0.012822f, 0.046179f, 0.010896f, 0.040001f, 0.000110f, 0.000472f, 0.000123f, 0.000600f, 0.032570f, 0.101419f, 0.033712f, 0.086411f,
0.035838f, 0.083549f, 0.000530f, 0.090512f, 0.052280f, 0.172730f, 0.044900f, 0.152261f, 0.024551f, 0.097005f, 0.027845f, 0.125500f, 0.083489f, 0.238494f, 0.087337f, 0.206784f,
0.000426f, 0.001094f, 0.000007f, 0.001066f, 0.000857f, 0.003116f, 0.000866f, 0.002471f, 0.000264f, 0.001147f, 0.000352f, 0.001335f, 0.001802f, 0.005669f, 0.002220f, 0.004421f,
0.053726f, 0.150132f, 0.001015f, 0.146128f, 0.114675f, 0.454139f, 0.125846f, 0.359671f, 0.036054f, 0.170752f, 0.052251f, 0.198477f, 0.127465f, 0.436446f, 0.170385f, 0.339990f,
0.021569f, 0.075465f, 0.000299f, 0.071306f, 0.021019f, 0.104225f, 0.016915f, 0.080132f, 0.000204f, 0.001209f, 0.000217f, 0.001364f, 0.051515f, 0.220853f, 0.050495f, 0.167014f,
0.087086f, 0.279524f, 0.001219f, 0.268772f, 0.120298f, 0.547216f, 0.097839f, 0.428134f, 0.064085f, 0.348623f, 0.068832f, 0.400317f, 0.185353f, 0.728990f, 0.183621f, 0.560998f,
0.039128f, 0.138289f, 0.000645f, 0.119599f, 0.074453f, 0.372916f, 0.071301f, 0.262426f, 0.025999f, 0.155731f, 0.032881f, 0.160842f, 0.151135f, 0.654503f, 0.176297f, 0.453030f,
0.114030f, 0.438713f, 0.002040f, 0.379001f, 0.230472f, 1.256632f, 0.239518f, 0.883332f, 0.082199f, 0.535987f, 0.112815f, 0.552965f, 0.247168f, 1.165208f, 0.312883f, 0.805634f,
0.005902f, 0.040934f, 0.000142f, 0.033428f, 0.006667f, 0.065532f, 0.009312f, 0.043545f, 0.000066f, 0.000780f, 0.000122f, 0.000761f, 0.018243f, 0.155042f, 0.031036f, 0.101335f,
0.020275f, 0.129012f, 0.000493f, 0.107215f, 0.032466f, 0.292762f, 0.045829f, 0.197968f, 0.017740f, 0.191316f, 0.033072f, 0.189871f, 0.055852f, 0.435459f, 0.096032f, 0.289632f,
0.008357f, 0.058548f, 0.000239f, 0.043764f, 0.018432f, 0.183013f, 0.030636f, 0.111311f, 0.006602f, 0.078394f, 0.014492f, 0.069979f, 0.041775f, 0.358634f, 0.084577f, 0.214549f,
0.035648f, 0.271888f, 0.001107f, 0.203007f, 0.083518f, 0.902739f, 0.150648f, 0.548450f, 0.030554f, 0.394955f, 0.072783f, 0.352168f, 0.100006f, 0.934601f, 0.219723f, 0.558497f,
0.034978f, 0.110095f, 0.000563f, 0.087142f, 0.028067f, 0.125196f, 0.026239f, 0.080632f, 0.000297f, 0.001587f, 0.000367f, 0.001500f, 0.085761f, 0.330754f, 0.097660f, 0.209528f,
0.144290f, 0.416632f, 0.002347f, 0.335586f, 0.164114f, 0.671570f, 0.155062f, 0.440147f, 0.095500f, 0.467353f, 0.119163f, 0.449551f, 0.315263f, 1.115420f, 0.362830f, 0.719058f,
0.059707f, 0.189831f, 0.001143f, 0.137529f, 0.093544f, 0.421491f, 0.104072f, 0.248468f, 0.035681f, 0.192269f, 0.052425f, 0.166349f, 0.236746f, 0.922304f, 0.320826f, 0.534781f,
0.137843f, 0.477081f, 0.002865f, 0.345254f, 0.229395f, 1.125172f, 0.276957f, 0.662553f, 0.089369f, 0.524230f, 0.142494f, 0.453055f, 0.306721f, 1.300765f, 0.451067f, 0.753389f,
0.000319f, 0.000582f, 0.000005f, 0.001032f, 0.000373f, 0.000963f, 0.000323f, 0.001391f, 0.000004f, 0.000012f, 0.000004f, 0.000025f, 0.001051f, 0.002345f, 0.001107f, 0.003331f,
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0.001125f, 0.002253f, 0.000022f, 0.003655f, 0.002727f, 0.007738f, 0.003046f, 0.010216f, 0.001025f, 0.003479f, 0.001512f, 0.006741f, 0.003360f, 0.008244f, 0.004572f, 0.010705f,
0.000493f, 0.001236f, 0.000007f, 0.001947f, 0.000546f, 0.001939f, 0.000447f, 0.002484f, 0.000006f, 0.000027f, 0.000007f, 0.000051f, 0.001482f, 0.004554f, 0.001479f, 0.005740f,
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0.000889f, 0.002251f, 0.000015f, 0.003245f, 0.001921f, 0.006894f, 0.001873f, 0.008087f, 0.000802f, 0.003443f, 0.001033f, 0.005926f, 0.004322f, 0.013413f, 0.005133f, 0.015476f,
0.002129f, 0.005870f, 0.000039f, 0.008453f, 0.004887f, 0.019094f, 0.005170f, 0.022372f, 0.002084f, 0.009738f, 0.002912f, 0.016746f, 0.005810f, 0.019627f, 0.007487f, 0.022619f,
0.000107f, 0.000531f, 0.000003f, 0.000723f, 0.000137f, 0.000965f, 0.000195f, 0.001069f, 0.000002f, 0.000014f, 0.000003f, 0.000022f, 0.000416f, 0.002532f, 0.000720f, 0.002758f,
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0.001633f, 0.003683f, 0.000027f, 0.004859f, 0.001488f, 0.004756f, 0.001416f, 0.005105f, 0.000019f, 0.000072f, 0.000024f, 0.000114f, 0.005040f, 0.013928f, 0.005842f, 0.014706f,
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0.002770f, 0.006311f, 0.000054f, 0.007621f, 0.004928f, 0.015912f, 0.005582f, 0.015636f, 0.002248f, 0.008679f, 0.003362f, 0.012517f, 0.013827f, 0.038599f, 0.019074f, 0.037305f,
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0.030336f, 0.074020f, 0.000509f, 0.104924f, 0.036864f, 0.127472f, 0.035910f, 0.147027f, 0.000279f, 0.001154f, 0.000359f, 0.001954f, 0.071364f, 0.213361f, 0.084677f, 0.242056f,
0.060971f, 0.136478f, 0.001033f, 0.196870f, 0.105021f, 0.333153f, 0.103394f, 0.391035f, 0.043670f, 0.165673f, 0.056779f, 0.285398f, 0.127817f, 0.350572f, 0.153277f, 0.404732f,
0.000767f, 0.001889f, 0.000015f, 0.002452f, 0.001819f, 0.006353f, 0.002109f, 0.006707f, 0.000496f, 0.002071f, 0.000759f, 0.003209f, 0.002917f, 0.008808f, 0.004118f, 0.009146f,
0.087874f, 0.235771f, 0.001903f, 0.305564f, 0.221463f, 0.842090f, 0.278604f, 0.888026f, 0.061654f, 0.280360f, 0.102430f, 0.433921f, 0.187606f, 0.616772f, 0.287476f, 0.639750f,
0.061734f, 0.207388f, 0.000980f, 0.260921f, 0.071035f, 0.338189f, 0.065530f, 0.346211f, 0.000610f, 0.003474f, 0.000743f, 0.005220f, 0.132680f, 0.546153f, 0.149087f, 0.549939f,
0.174159f, 0.536732f, 0.002795f, 0.687184f, 0.284060f, 1.240648f, 0.264836f, 1.292468f, 0.133995f, 0.699886f, 0.164982f, 1.070103f, 0.333561f, 1.259607f, 0.378803f, 1.290700f,
0.082716f, 0.280691f, 0.001563f, 0.323236f, 0.185839f, 0.893723f, 0.204016f, 0.837433f, 0.057462f, 0.330482f, 0.083309f, 0.454488f, 0.287502f, 1.195440f, 0.384447f, 1.101777f,
0.219235f, 0.809864f, 0.004496f, 0.931586f, 0.523193f, 2.738996f, 0.623302f, 2.563644f, 0.165231f, 1.034472f, 0.259960f, 1.421060f, 0.427623f, 1.935577f, 0.620535f, 1.781951f,
0.013142f, 0.087519f, 0.000362f, 0.095168f, 0.017529f, 0.165434f, 0.028065f, 0.146375f, 0.000154f, 0.001743f, 0.000327f, 0.002264f, 0.036555f, 0.298296f, 0.071293f, 0.259602f,
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0.053323f, 0.390490f, 0.001898f, 0.388221f, 0.147508f, 1.530850f, 0.305007f, 1.238393f, 0.047784f, 0.593061f, 0.130484f, 0.704129f, 0.134611f, 1.207872f, 0.339036f, 0.961093f,
0.092807f, 0.280471f, 0.001712f, 0.295597f, 0.087928f, 0.376585f, 0.094233f, 0.322947f, 0.000825f, 0.004226f, 0.001168f, 0.005319f, 0.204761f, 0.758232f, 0.267295f, 0.639570f,
0.267498f, 0.741613f, 0.004987f, 0.795387f, 0.359239f, 1.411454f, 0.389098f, 1.231754f, 0.185106f, 0.869765f, 0.264774f, 1.114003f, 0.525938f, 1.786645f, 0.693872f, 1.533607f,
0.117007f, 0.357185f, 0.002569f, 0.344565f, 0.216449f, 0.936411f, 0.276052f, 0.735021f, 0.073107f, 0.378241f, 0.123133f, 0.435741f, 0.417490f, 1.561623f, 0.648558f, 1.205669f,
0.245677f, 0.816414f, 0.005853f, 0.786696f, 0.482741f, 2.273464f, 0.668126f, 1.782544f, 0.166533f, 0.937933f, 0.304384f, 1.079323f, 0.491924f, 2.003051f, 0.829298f, 1.544767f,
0.036121f, 0.064639f, 0.000393f, 0.092161f, 0.059299f, 0.150387f, 0.037475f, 0.174468f, 0.000335f, 0.001015f, 0.000279f, 0.001728f, 0.096303f, 0.211163f, 0.074132f, 0.240959f,
0.056020f, 0.091965f, 0.000616f, 0.133433f, 0.130359f, 0.303285f, 0.083261f, 0.358052f, 0.040399f, 0.112403f, 0.034076f, 0.194760f, 0.133095f, 0.267727f, 0.103545f, 0.310890f,
0.000570f, 0.001031f, 0.000007f, 0.001345f, 0.001827f, 0.004681f, 0.001374f, 0.004971f, 0.000371f, 0.001137f, 0.000369f, 0.001772f, 0.002458f, 0.005444f, 0.002252f, 0.005686f,
0.090751f, 0.178575f, 0.001275f, 0.232786f, 0.308986f, 0.861664f, 0.252177f, 0.913964f, 0.064108f, 0.213802f, 0.069097f, 0.332836f, 0.219580f, 0.529434f, 0.218287f, 0.552360f,
0.042840f, 0.105549f, 0.000441f, 0.133569f, 0.066596f, 0.232530f, 0.039856f, 0.239434f, 0.000426f, 0.001780f, 0.000337f, 0.002690f, 0.104349f, 0.315022f, 0.076069f, 0.319055f,
0.093258f, 0.210785f, 0.000971f, 0.271444f, 0.205494f, 0.658233f, 0.124293f, 0.689724f, 0.072243f, 0.276742f, 0.057706f, 0.425597f, 0.202429f, 0.560628f, 0.149139f, 0.577815f,
0.035850f, 0.089221f, 0.000439f, 0.103344f, 0.108813f, 0.383788f, 0.077498f, 0.361712f, 0.025075f, 0.105768f, 0.023585f, 0.146303f, 0.141220f, 0.430649f, 0.122510f, 0.399222f,
0.131954f, 0.357493f, 0.001755f, 0.413621f, 0.425426f, 1.633410f, 0.328807f, 1.537751f, 0.100131f, 0.459769f, 0.102204f, 0.635269f, 0.291696f, 0.968328f, 0.274610f, 0.896668f,
0.000240f, 0.001174f, 0.000004f, 0.001284f, 0.000433f, 0.002998f, 0.000450f, 0.002668f, 0.000003f, 0.000024f, 0.000004f, 0.000031f, 0.000758f, 0.004534f, 0.000959f, 0.003969f,
0.000445f, 0.001995f, 0.000008f, 0.002220f, 0.001137f, 0.007220f, 0.001194f, 0.006539f, 0.000410f, 0.003114f, 0.000568f, 0.004139f, 0.001251f, 0.006866f, 0.001599f, 0.006116f,
0.000157f, 0.000774f, 0.000003f, 0.000775f, 0.000552f, 0.003862f, 0.000683f, 0.003146f, 0.000131f, 0.001092f, 0.000213f, 0.001305f, 0.000800f, 0.004838f, 0.001205f, 0.003876f,
0.000846f, 0.004543f, 0.000020f, 0.004542f, 0.003161f, 0.024059f, 0.004240f, 0.019576f, 0.000763f, 0.006946f, 0.001352f, 0.008295f, 0.002420f, 0.015925f, 0.003954f, 0.012745f,
0.117224f, 0.259817f, 0.001403f, 0.275425f, 0.150042f, 0.471292f, 0.104320f, 0.406520f, 0.001049f, 0.003942f, 0.000963f, 0.004990f, 0.293117f, 0.796044f, 0.248236f, 0.675379f,
0.260717f, 0.530112f, 0.003153f, 0.571865f, 0.473020f, 1.363031f, 0.332381f, 1.196429f, 0.181649f, 0.625976f, 0.168566f, 0.806429f, 0.580950f, 1.447389f, 0.497239f, 1.249641f,
0.092303f, 0.206653f, 0.001315f, 0.200513f, 0.230680f, 0.731918f, 0.190864f, 0.577856f, 0.058067f, 0.220334f, 0.063449f, 0.255309f, 0.373256f, 1.023953f, 0.376176f, 0.795163f,
0.269144f, 0.655954f, 0.004160f, 0.635762f, 0.714468f, 2.467740f, 0.641517f, 1.946148f, 0.183690f, 0.758753f, 0.217816f, 0.878221f, 0.610766f, 1.823943f, 0.667988f, 1.414838f,
0.040551f, 0.103050f, 0.000593f, 0.109704f, 0.056774f, 0.204471f, 0.048245f, 0.177118f, 0.000377f, 0.001622f, 0.000423f, 0.002062f, 0.094349f, 0.293791f, 0.097658f, 0.250316f,
0.095744f, 0.223210f, 0.001415f, 0.241813f, 0.190013f, 0.627786f, 0.163187f, 0.553392f, 0.069211f, 0.273464f, 0.078497f, 0.353793f, 0.198519f, 0.567088f, 0.207670f, 0.491690f,
0.000987f, 0.002532f, 0.000017f, 0.002468f, 0.002697f, 0.009811f, 0.002727f, 0.007779f, 0.000644f, 0.002801f, 0.000860f, 0.003260f, 0.003712f, 0.011676f, 0.004572f, 0.009106f,
0.147463f, 0.412074f, 0.002785f, 0.401085f, 0.428197f, 1.695749f, 0.469909f, 1.343007f, 0.104420f, 0.494538f, 0.151333f, 0.574835f, 0.311383f, 1.066187f, 0.416231f, 0.830556f,
0.080583f, 0.281947f, 0.001116f, 0.266405f, 0.106835f, 0.529740f, 0.085973f, 0.407280f, 0.000804f, 0.004767f, 0.000854f, 0.005379f, 0.171297f, 0.734382f, 0.167908f, 0.555357f,
0.267066f, 0.857218f, 0.003739f, 0.824245f, 0.501882f, 2.282978f, 0.408183f, 1.786169f, 0.207378f, 1.128134f, 0.222738f, 1.295415f, 0.505910f, 1.989729f, 0.501182f, 1.531206f,
0.103946f, 0.367372f, 0.001713f, 0.317722f, 0.269075f, 1.347721f, 0.257682f, 0.948411f, 0.072879f, 0.436542f, 0.092170f, 0.450868f, 0.357341f, 1.547498f, 0.416834f, 1.071139f,
0.359268f, 1.382233f, 0.006427f, 1.194102f, 0.987846f, 5.386165f, 1.026621f, 3.786130f, 0.273274f, 1.781917f, 0.375058f, 1.838360f, 0.693096f, 3.267415f, 0.877371f, 2.259119f,
0.015949f, 0.110620f, 0.000383f, 0.090338f, 0.024509f, 0.240920f, 0.034233f, 0.160090f, 0.000189f, 0.002224f, 0.000349f, 0.002169f, 0.043877f, 0.372908f, 0.074649f, 0.243731f,
0.044975f, 0.286179f, 0.001093f, 0.237827f, 0.097972f, 0.883469f, 0.138297f, 0.597409f, 0.041524f, 0.447806f, 0.077409f, 0.444423f, 0.110266f, 0.859712f, 0.189594f, 0.571810f,
0.016057f, 0.112504f, 0.000459f, 0.084094f, 0.048182f, 0.478414f, 0.080086f, 0.290978f, 0.013386f, 0.158953f, 0.029383f, 0.141890f, 0.071444f, 0.613342f, 0.144646f, 0.366926f,
0.081240f, 0.619619f, 0.002522f, 0.462641f, 0.258932f, 2.798767f, 0.467054f, 1.700364f, 0.073474f, 0.949759f, 0.175022f, 0.846868f, 0.202843f, 1.895660f, 0.445666f, 1.132804f,
0.127235f, 0.400475f, 0.002047f, 0.316983f, 0.138891f, 0.619540f, 0.129847f, 0.399012f, 0.001142f, 0.006090f, 0.001409f, 0.005756f, 0.277650f, 1.070813f, 0.316174f, 0.678343f,
0.430821f, 1.243984f, 0.007007f, 1.001995f, 0.666620f, 2.727868f, 0.629853f, 1.787846f, 0.300881f, 1.472444f, 0.375435f, 1.416357f, 0.837790f, 2.964152f, 0.964195f, 1.910847f,
0.154430f, 0.490993f, 0.002957f, 0.355715f, 0.329151f, 1.483088f, 0.366197f, 0.874278f, 0.097382f, 0.524746f, 0.143079f, 0.454003f, 0.544992f, 2.123157f, 0.738547f, 1.231072f,
0.422839f, 1.463467f, 0.008787f, 1.059081f, 0.957292f, 4.695476f, 1.155774f, 2.764912f, 0.289274f, 1.696851f, 0.461230f, 1.466469f, 0.837401f, 3.551314f, 1.231490f, 2.056883f,
0.028250f, 0.051445f, 0.000421f, 0.091287f, 0.044915f, 0.115916f, 0.038854f, 0.167366f, 0.000356f, 0.001099f, 0.000407f, 0.002330f, 0.082744f, 0.184630f, 0.087185f, 0.262209f,
0.060028f, 0.100281f, 0.000903f, 0.181084f, 0.135282f, 0.320285f, 0.118271f, 0.470600f, 0.058920f, 0.166823f, 0.068027f, 0.359748f, 0.156680f, 0.320723f, 0.166848f, 0.463515f,
0.000683f, 0.001256f, 0.000012f, 0.002041f, 0.002120f, 0.005528f, 0.002183f, 0.007306f, 0.000605f, 0.001887f, 0.000823f, 0.003661f, 0.003236f, 0.007293f, 0.004057f, 0.009480f,
0.083919f, 0.168043f, 0.001614f, 0.272631f, 0.276719f, 0.785282f, 0.309133f, 1.036658f, 0.080688f, 0.273839f, 0.119040f, 0.530556f, 0.223072f, 0.547333f, 0.303543f, 0.710690f,
0.050060f, 0.125512f, 0.000706f, 0.197676f, 0.075366f, 0.267792f, 0.061740f, 0.343180f, 0.000678f, 0.002881f, 0.000734f, 0.005420f, 0.133959f, 0.411540f, 0.133668f, 0.518746f,
0.149308f, 0.343419f, 0.002128f, 0.550405f, 0.318627f, 1.038609f, 0.263798f, 1.354459f, 0.157425f, 0.613680f, 0.172124f, 1.174581f, 0.356048f, 1.003457f, 0.359060f, 1.287156f,
0.064178f, 0.162539f, 0.001077f, 0.234311f, 0.188657f, 0.677126f, 0.183917f, 0.794254f, 0.061099f, 0.262256f, 0.078661f, 0.451485f, 0.277739f, 0.861895f, 0.329803f, 0.994404f,
0.182314f, 0.502635f, 0.003320f, 0.723779f, 0.569258f, 2.224176f, 0.602236f, 2.606021f, 0.188300f, 0.879848f, 0.263079f, 1.513017f, 0.442760f, 1.495713f, 0.570550f, 1.723756f,
0.007847f, 0.039000f, 0.000192f, 0.053088f, 0.013694f, 0.096455f, 0.019470f, 0.106834f, 0.000126f, 0.001065f, 0.000237f, 0.001731f, 0.027176f, 0.165504f, 0.047065f, 0.180307f,
0.019914f, 0.090800f, 0.000493f, 0.125778f, 0.049261f, 0.318317f, 0.070786f, 0.358783f, 0.024965f, 0.192925f, 0.047376f, 0.319145f, 0.061460f, 0.343380f, 0.107575f, 0.380686f,
0.007852f, 0.039422f, 0.000229f, 0.049117f, 0.026755f, 0.190366f, 0.045270f, 0.192992f, 0.008888f, 0.075629f, 0.019860f, 0.112528f, 0.043978f, 0.270548f, 0.090639f, 0.269782f,
0.032651f, 0.178449f, 0.001032f, 0.222088f, 0.118175f, 0.915321f, 0.216990f, 0.926918f, 0.040096f, 0.371408f, 0.097230f, 0.552009f, 0.102625f, 0.687261f, 0.229529f, 0.684555f,
0.161411f, 0.364058f, 0.002644f, 0.480314f, 0.200087f, 0.639562f, 0.190421f, 0.686582f, 0.001966f, 0.007517f, 0.002472f, 0.011844f, 0.443401f, 1.225410f, 0.513998f, 1.293928f,
0.491856f, 1.017713f, 0.008143f, 1.366372f, 0.864246f, 2.534262f, 0.831255f, 2.768542f, 0.466429f, 1.635679f, 0.592463f, 2.622556f, 1.204061f, 3.052692f, 1.410634f, 3.280208f,
0.194711f, 0.443613f, 0.003796f, 0.535704f, 0.471274f, 1.521649f, 0.533739f, 1.495168f, 0.166720f, 0.643765f, 0.249358f, 0.928390f, 0.865013f, 2.414815f, 1.193293f, 2.333879f,
0.438183f, 1.086757f, 0.009270f, 1.310905f, 1.126529f, 3.959558f, 1.384546f, 3.886346f, 0.407042f, 1.710968f, 0.660667f, 2.464699f, 1.092411f, 3.319790f, 1.635384f, 3.204972f,
0.080377f, 0.196119f, 0.001348f, 0.278000f, 0.132873f, 0.459467f, 0.129436f, 0.529952f, 0.000780f, 0.003227f, 0.001004f, 0.005463f, 0.168286f, 0.503135f, 0.199679f, 0.570802f,
0.132601f, 0.296816f, 0.002247f, 0.428157f, 0.310721f, 0.985682f, 0.305906f, 1.156935f, 0.100217f, 0.380195f, 0.130298f, 0.654947f, 0.247408f, 0.678578f, 0.296688f, 0.783413f,
0.001444f, 0.003560f, 0.000029f, 0.004619f, 0.004662f, 0.016283f, 0.005404f, 0.017191f, 0.000986f, 0.004117f, 0.001509f, 0.006379f, 0.004890f, 0.014769f, 0.006905f, 0.015336f,
0.196342f, 0.526796f, 0.004252f, 0.682737f, 0.673168f, 2.559648f, 0.846855f, 2.699277f, 0.145360f, 0.660996f, 0.241495f, 1.023042f, 0.373077f, 1.226523f, 0.571680f, 1.272219f,
0.187754f, 0.630741f, 0.002981f, 0.793555f, 0.293906f, 1.399260f, 0.271129f, 1.432451f, 0.001958f, 0.011150f, 0.002386f, 0.016752f, 0.359147f, 1.478366f, 0.403560f, 1.488614f,
0.434778f, 1.339920f, 0.006977f, 1.715514f, 0.964720f, 4.213475f, 0.899435f, 4.389465f, 0.352974f, 1.843658f, 0.434600f, 2.818894f, 0.741135f, 2.798701f, 0.841655f, 2.867784f,
0.178878f, 0.607010f, 0.003380f, 0.699016f, 0.546733f, 2.629304f, 0.600208f, 2.463701f, 0.131124f, 0.754132f, 0.190103f, 1.037103f, 0.553362f, 2.300885f, 0.739954f, 2.120611f,
0.562290f, 2.077122f, 0.011530f, 2.389311f, 1.825503f, 9.556782f, 2.174797f, 8.944952f, 0.447170f, 2.799629f, 0.703538f, 3.845864f, 0.976137f, 4.418351f, 1.416497f, 4.067667f,
0.028910f, 0.192533f, 0.000797f, 0.209359f, 0.052459f, 0.495104f, 0.083993f, 0.438064f, 0.000359f, 0.004047f, 0.000758f, 0.005255f, 0.071573f, 0.584049f, 0.139587f, 0.508287f,
0.056965f, 0.348026f, 0.001587f, 0.385112f, 0.146517f, 1.268579f, 0.237092f, 1.142216f, 0.054988f, 0.569372f, 0.117510f, 0.752409f, 0.125676f, 0.940812f, 0.247714f, 0.833206f,
0.021499f, 0.144625f, 0.000705f, 0.143944f, 0.076169f, 0.726159f, 0.145132f, 0.588083f, 0.018738f, 0.213638f, 0.047151f, 0.253928f, 0.086076f, 0.709505f, 0.199772f, 0.565172f,
0.098924f, 0.724423f, 0.003521f, 0.720216f, 0.372278f, 3.863547f, 0.769773f, 3.125445f, 0.093540f, 1.160951f, 0.255429f, 1.378373f, 0.222262f, 1.994362f, 0.559795f, 1.586896f,
0.274814f, 0.830511f, 0.005069f, 0.875301f, 0.354207f, 1.517019f, 0.379605f, 1.300943f, 0.002578f, 0.013204f, 0.003649f, 0.016619f, 0.539641f, 1.998293f, 0.704448f, 1.685565f,
0.650177f, 1.802552f, 0.012121f, 1.933255f, 1.187857f, 4.667109f, 1.286591f, 4.072912f, 0.474747f, 2.230717f, 0.679074f, 2.857122f, 1.137745f, 3.864994f, 1.501031f, 3.317605f,
0.246359f, 0.752057f, 0.005408f, 0.725484f, 0.619989f, 2.682217f, 0.790711f, 2.105363f, 0.162423f, 0.840344f, 0.273566f, 0.968094f, 0.782352f, 2.926394f, 1.215361f, 2.259356f,
0.613484f, 2.038682f, 0.014615f, 1.964473f, 1.639925f, 7.723205f, 2.269696f, 6.055497f, 0.438804f, 2.471398f, 0.802035f, 2.843952f, 1.093294f, 4.451752f, 1.843103f, 3.433223f,
0.007730f, 0.013833f, 0.000084f, 0.019722f, 0.012960f, 0.032866f, 0.008190f, 0.038129f, 0.000086f, 0.000260f, 0.000072f, 0.000443f, 0.026137f, 0.057311f, 0.020120f, 0.065398f,
0.015845f, 0.026012f, 0.000174f, 0.037742f, 0.037656f, 0.087607f, 0.024051f, 0.103428f, 0.013700f, 0.038118f, 0.011556f, 0.066046f, 0.047746f, 0.096043f, 0.037145f, 0.111527f,
0.000178f, 0.000322f, 0.000002f, 0.000420f, 0.000583f, 0.001495f, 0.000439f, 0.001587f, 0.000139f, 0.000426f, 0.000138f, 0.000664f, 0.000975f, 0.002159f, 0.000893f, 0.002255f,
0.028096f, 0.055287f, 0.000395f, 0.072070f, 0.097695f, 0.272439f, 0.079733f, 0.288976f, 0.023796f, 0.079360f, 0.025648f, 0.123544f, 0.086220f, 0.207887f, 0.085712f, 0.216889f,
0.011347f, 0.027956f, 0.000117f, 0.035377f, 0.018014f, 0.062897f, 0.010781f, 0.064765f, 0.000135f, 0.000565f, 0.000107f, 0.000854f, 0.035053f, 0.105823f, 0.025553f, 0.107177f,
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0.013871f, 0.034522f, 0.000170f, 0.039986f, 0.042997f, 0.151651f, 0.030623f, 0.142928f, 0.011632f, 0.049064f, 0.010941f, 0.067868f, 0.069300f, 0.211330f, 0.060119f, 0.195908f,
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0.151603f, 0.339417f, 0.002159f, 0.329332f, 0.311874f, 0.989538f, 0.258045f, 0.781250f, 0.089227f, 0.338568f, 0.097496f, 0.392311f, 0.630101f, 1.728554f, 0.635030f, 1.342330f,
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0.304325f, 0.709476f, 0.004499f, 0.768606f, 0.497149f, 1.642535f, 0.426962f, 1.447892f, 0.205812f, 0.813201f, 0.233428f, 1.052075f, 0.648542f, 1.852622f, 0.678437f, 1.606302f,
0.002448f, 0.006284f, 0.000043f, 0.006123f, 0.005509f, 0.020040f, 0.005571f, 0.015889f, 0.001495f, 0.006504f, 0.001996f, 0.007568f, 0.009468f, 0.029779f, 0.011662f, 0.023224f,
0.330956f, 0.924827f, 0.006252f, 0.900164f, 0.791056f, 3.132748f, 0.868116f, 2.481088f, 0.219251f, 1.038383f, 0.317753f, 1.206984f, 0.718276f, 2.459405f, 0.960132f, 1.915869f,
0.152668f, 0.534160f, 0.002115f, 0.504715f, 0.166607f, 0.826123f, 0.134074f, 0.635149f, 0.001425f, 0.008449f, 0.001514f, 0.009534f, 0.333554f, 1.430005f, 0.326954f, 1.081403f,
0.764614f, 2.454231f, 0.010704f, 2.359829f, 1.182778f, 5.380267f, 0.961959f, 4.209443f, 0.555467f, 3.021740f, 0.596610f, 3.469806f, 1.488704f, 5.855030f, 1.474790f, 4.505767f,
0.232333f, 0.821129f, 0.003830f, 0.710154f, 0.495058f, 2.479609f, 0.474097f, 1.744937f, 0.152397f, 0.912858f, 0.192738f, 0.942816f, 0.820917f, 3.555056f, 0.957589f, 2.460719f,
0.726279f, 2.794256f, 0.012992f, 2.413940f, 1.643812f, 8.962779f, 1.708335f, 6.300261f, 0.516840f, 3.370115f, 0.709342f, 3.476865f, 1.440090f, 6.788916f, 1.822969f, 4.693914f,
0.039928f, 0.276944f, 0.000960f, 0.226166f, 0.050509f, 0.496489f, 0.070547f, 0.329913f, 0.000443f, 0.005209f, 0.000817f, 0.005080f, 0.112904f, 0.959558f, 0.192084f, 0.627163f,
0.170158f, 1.082718f, 0.004134f, 0.899787f, 0.305111f, 2.751361f, 0.430695f, 1.860491f, 0.146978f, 1.585038f, 0.273995f, 1.573067f, 0.428777f, 3.343043f, 0.737247f, 2.223519f,
0.047428f, 0.332296f, 0.001357f, 0.248385f, 0.117145f, 1.163163f, 0.194713f, 0.707452f, 0.036990f, 0.439238f, 0.081196f, 0.392087f, 0.216888f, 1.861972f, 0.439113f, 1.113905f,
0.217025f, 1.655249f, 0.006738f, 1.235899f, 0.569382f, 6.154371f, 1.027032f, 3.739030f, 0.183631f, 2.373693f, 0.437426f, 2.116543f, 0.556942f, 5.204878f, 1.223656f, 3.110317f,
0.266502f, 0.838818f, 0.004288f, 0.663941f, 0.239466f, 1.068169f, 0.223874f, 0.687950f, 0.002237f, 0.011934f, 0.002762f, 0.011280f, 0.597726f, 2.305247f, 0.680660f, 1.460338f,
1.363671f, 3.937560f, 0.022178f, 3.171598f, 1.736877f, 7.107454f, 1.641080f, 4.658227f, 0.891005f, 4.360375f, 1.111783f, 4.194283f, 2.725579f, 9.643265f, 3.136811f, 6.216552f,
0.381614f, 1.213301f, 0.007308f, 0.879014f, 0.669525f, 3.016747f, 0.744880f, 1.778367f, 0.225136f, 1.213152f, 0.330783f, 1.049603f, 1.384188f, 5.392460f, 1.875784f, 3.126716f,
0.945037f, 3.270817f, 0.019639f, 2.367022f, 1.761149f, 8.638358f, 2.126300f, 5.086663f, 0.604862f, 3.548050f, 0.964414f, 3.066329f, 1.923615f, 8.157813f, 2.828887f, 4.724918f,
0.050212f, 0.091438f, 0.000748f, 0.162254f, 0.065714f, 0.169592f, 0.056845f, 0.244867f, 0.000592f, 0.001828f, 0.000677f, 0.003874f, 0.151158f, 0.337287f, 0.159272f, 0.479008f,
0.161234f, 0.269355f, 0.002426f, 0.486390f, 0.299104f, 0.708141f, 0.261494f, 1.040482f, 0.148060f, 0.419212f, 0.170945f, 0.904016f, 0.432542f, 0.885414f, 0.460614f, 1.279617f,
0.001432f, 0.002635f, 0.000025f, 0.004279f, 0.003660f, 0.009542f, 0.003768f, 0.012610f, 0.001188f, 0.003703f, 0.001615f, 0.007182f, 0.006973f, 0.015718f, 0.008744f, 0.020431f,
0.159158f, 0.318704f, 0.003060f, 0.517061f, 0.431999f, 1.225942f, 0.482602f, 1.618377f, 0.143168f, 0.485884f, 0.211219f, 0.941391f, 0.434832f, 1.066913f, 0.591694f, 1.385344f,
0.080145f, 0.200941f, 0.001130f, 0.316474f, 0.099321f, 0.352907f, 0.081363f, 0.452256f, 0.001016f, 0.004316f, 0.001099f, 0.008117f, 0.220428f, 0.677186f, 0.219950f, 0.853592f,
0.361232f, 0.830861f, 0.005148f, 1.331638f, 0.634548f, 2.068400f, 0.525357f, 2.697417f, 0.356328f, 1.389052f, 0.389600f, 2.658640f, 0.885369f, 2.495250f, 0.892858f, 3.200712f,
0.121220f, 0.307004f, 0.002034f, 0.442565f, 0.293316f, 1.052769f, 0.285946f, 1.234874f, 0.107967f, 0.463430f, 0.139000f, 0.797812f, 0.539180f, 1.673211f, 0.640251f, 1.930453f,
0.311448f, 0.858654f, 0.005671f, 1.236435f, 0.800484f, 3.127608f, 0.846856f, 3.664554f, 0.300945f, 1.406194f, 0.420458f, 2.418139f, 0.777400f, 2.626180f, 1.001775f, 3.026579f,
0.016601f, 0.082510f, 0.000406f, 0.112314f, 0.023847f, 0.167974f, 0.033906f, 0.186048f, 0.000250f, 0.002107f, 0.000470f, 0.003425f, 0.059092f, 0.359881f, 0.102340f, 0.392068f,
0.063667f, 0.290299f, 0.001575f, 0.402126f, 0.129639f, 0.837713f, 0.186288f, 0.944210f, 0.074672f, 0.577057f, 0.141706f, 0.954594f, 0.201960f, 1.128351f, 0.353494f, 1.250939f,
0.019598f, 0.098395f, 0.000571f, 0.122594f, 0.054969f, 0.391118f, 0.093010f, 0.396512f, 0.020755f, 0.176603f, 0.046377f, 0.262769f, 0.112821f, 0.694056f, 0.232522f, 0.692090f,
0.073707f, 0.402840f, 0.002330f, 0.501354f, 0.219594f, 1.700867f, 0.403216f, 1.722418f, 0.084683f, 0.784408f, 0.205348f, 1.165837f, 0.238112f, 1.594600f, 0.532559f, 1.588323f,
0.285698f, 0.644382f, 0.004680f, 0.850155f, 0.291520f, 0.931823f, 0.277437f, 1.000330f, 0.003256f, 0.012448f, 0.004093f, 0.019613f, 0.806642f, 2.229284f, 0.935073f, 2.353934f,
1.315621f, 2.722186f, 0.021781f, 3.654783f, 1.902865f, 5.579848f, 1.830228f, 6.095677f, 1.167213f, 4.093201f, 1.482608f, 6.562810f, 3.310184f, 8.392414f, 3.878093f, 9.017897f,
0.406598f, 0.926357f, 0.007926f, 1.118660f, 0.810075f, 2.615570f, 0.917447f, 2.570052f, 0.325712f, 1.257690f, 0.487157f, 1.813746f, 1.856554f, 5.182854f, 2.561132f, 5.009141f,
0.827578f, 2.052513f, 0.017507f, 2.475853f, 1.751354f, 6.155715f, 2.152480f, 6.041895f, 0.719225f, 3.023207f, 1.167371f, 4.355017f, 2.120561f, 6.444296f, 3.174567f, 6.221413f,
0.139911f, 0.341383f, 0.002346f, 0.483915f, 0.190388f, 0.658348f, 0.185462f, 0.759343f, 0.001271f, 0.005256f, 0.001635f, 0.008897f, 0.301080f, 0.900159f, 0.357246f, 1.021222f,
0.348811f, 0.780782f, 0.005911f, 1.126280f, 0.672808f, 2.134313f, 0.662383f, 2.505130f, 0.246637f, 0.935670f, 0.320667f, 1.611840f, 0.668909f, 1.834654f, 0.802147f, 2.118093f,
0.002966f, 0.007310f, 0.000059f, 0.009485f, 0.007880f, 0.027526f, 0.009135f, 0.029060f, 0.001894f, 0.007910f, 0.002899f, 0.012256f, 0.010322f, 0.031173f, 0.014575f, 0.032370f,
0.364684f, 0.978467f, 0.007897f, 1.268113f, 1.029214f, 3.913475f, 1.294767f, 4.126955f, 0.252592f, 1.148618f, 0.419648f, 1.777748f, 0.712220f, 2.341483f, 1.091361f, 2.428718f,
0.294383f, 0.988949f, 0.004674f, 1.244227f, 0.379324f, 1.805922f, 0.349927f, 1.848760f, 0.002873f, 0.016355f, 0.003500f, 0.024573f, 0.578770f, 2.382406f, 0.650342f, 2.398921f,
1.030172f, 3.174834f, 0.016532f, 4.064776f, 1.881577f, 8.217902f, 1.754245f, 8.561150f, 0.782452f, 4.086911f, 0.963396f, 6.248757f, 1.804890f, 6.815694f, 2.049689f, 6.983933f,
0.330888f, 1.122844f, 0.006252f, 1.293037f, 0.832486f, 4.003525f, 0.913910f, 3.751368f, 0.226924f, 1.305099f, 0.328992f, 1.794807f, 1.052068f, 4.374513f, 1.406822f, 4.031770f,
0.940727f, 3.475084f, 0.019291f, 3.997385f, 2.513993f, 13.161130f, 2.995024f, 12.318550f, 0.699920f, 4.382039f, 1.101193f, 6.019630f, 1.678516f, 7.597572f, 2.435737f, 6.994553f,
0.059901f, 0.398917f, 0.001651f, 0.433778f, 0.089469f, 0.844405f, 0.143251f, 0.747123f, 0.000695f, 0.007844f, 0.001470f, 0.010186f, 0.152419f, 1.243761f, 0.297258f, 1.082422f,
0.178364f, 1.089703f, 0.004968f, 1.205822f, 0.377627f, 3.269581f, 0.611070f, 2.943897f, 0.161079f, 1.667882f, 0.344227f, 2.204058f, 0.404447f, 3.027683f, 0.797183f, 2.681389f,
0.052552f, 0.353525f, 0.001724f, 0.351861f, 0.153261f, 1.461125f, 0.292024f, 1.183298f, 0.042852f, 0.488571f, 0.107830f, 0.580712f, 0.216256f, 1.782559f, 0.501907f, 1.419938f,
0.218705f, 1.601584f, 0.007784f, 1.592281f, 0.677490f, 7.031073f, 1.400872f, 5.687840f, 0.193476f, 2.401284f, 0.528324f, 2.850995f, 0.505049f, 4.531817f, 1.272031f, 3.605927f,
0.476377f, 1.439649f, 0.008788f, 1.517289f, 0.505413f, 2.164613f, 0.541653f, 1.856298f, 0.004181f, 0.021414f, 0.005917f, 0.026952f, 0.961452f, 3.560260f, 1.255079f, 3.003087f,
1.703188f, 4.721922f, 0.031753f, 5.064309f, 2.561377f, 10.063690f, 2.774275f, 8.782419f, 1.163498f, 5.466984f, 1.664258f, 7.002162f, 3.063283f, 10.406170f, 4.041401f, 8.932374f,
0.503825f, 1.538022f, 0.011060f, 1.483679f, 1.043696f, 4.515275f, 1.331093f, 3.544192f, 0.310766f, 1.607835f, 0.523415f, 1.852260f, 1.644469f, 6.151148f, 2.554634f, 4.749064f,
1.134737f, 3.770868f, 0.027032f, 3.633606f, 2.496859f, 11.758930f, 3.455714f, 9.219766f, 0.759338f, 4.276684f, 1.387898f, 4.921376f, 2.078452f, 8.463190f, 3.503908f, 6.526872f,
0.080934f, 0.144832f, 0.000880f, 0.206498f, 0.097667f, 0.247690f, 0.061723f, 0.287353f, 0.000711f, 0.002155f, 0.000593f, 0.003670f, 0.242442f, 0.531603f, 0.186627f, 0.606615f,
0.114702f, 0.188301f, 0.001261f, 0.273208f, 0.196201f, 0.456468f, 0.125314f, 0.538898f, 0.078391f, 0.218110f, 0.066122f, 0.377919f, 0.306191f, 0.615917f, 0.238210f, 0.715217f,
0.001175f, 0.002124f, 0.000015f, 0.002772f, 0.002769f, 0.007093f, 0.002082f, 0.007532f, 0.000725f, 0.002222f, 0.000720f, 0.003462f, 0.005693f, 0.012609f, 0.005215f, 0.013169f,
0.157937f, 0.310783f, 0.002219f, 0.405128f, 0.395278f, 1.102306f, 0.322604f, 1.169214f, 0.105735f, 0.352627f, 0.113963f, 0.548952f, 0.429366f, 1.035254f, 0.426838f, 1.080083f,
0.078451f, 0.193287f, 0.000808f, 0.244598f, 0.089645f, 0.313009f, 0.053650f, 0.322302f, 0.000740f, 0.003090f, 0.000585f, 0.004669f, 0.214702f, 0.648170f, 0.156514f, 0.656469f,
0.156061f, 0.352735f, 0.001625f, 0.454243f, 0.252776f, 0.809688f, 0.152892f, 0.848425f, 0.114570f, 0.438886f, 0.091517f, 0.674955f, 0.380611f, 1.054103f, 0.280414f, 1.086419f,
0.060394f, 0.150304f, 0.000740f, 0.174095f, 0.134746f, 0.475252f, 0.095967f, 0.447915f, 0.040033f, 0.168859f, 0.037653f, 0.233574f, 0.267300f, 0.815131f, 0.231886f, 0.755645f,
0.187688f, 0.508488f, 0.002497f, 0.588323f, 0.444801f, 1.707803f, 0.343782f, 1.607787f, 0.134974f, 0.619756f, 0.137767f, 0.856325f, 0.466169f, 1.547517f, 0.438864f, 1.432996f,
0.000721f, 0.003523f, 0.000013f, 0.003853f, 0.000955f, 0.006613f, 0.000992f, 0.005885f, 0.000008f, 0.000067f, 0.000011f, 0.000087f, 0.002555f, 0.015290f, 0.003232f, 0.013384f,
0.001221f, 0.005471f, 0.000022f, 0.006089f, 0.002292f, 0.014556f, 0.002406f, 0.013182f, 0.001066f, 0.008093f, 0.001478f, 0.010757f, 0.003854f, 0.021158f, 0.004928f, 0.018847f,
0.000433f, 0.002138f, 0.000009f, 0.002141f, 0.001121f, 0.007837f, 0.001386f, 0.006384f, 0.000342f, 0.002856f, 0.000558f, 0.003415f, 0.002483f, 0.015008f, 0.003738f, 0.012025f,
0.001972f, 0.010589f, 0.000046f, 0.010589f, 0.005416f, 0.041225f, 0.007266f, 0.033543f, 0.001686f, 0.015345f, 0.002987f, 0.018326f, 0.006338f, 0.041708f, 0.010356f, 0.033381f,
0.209801f, 0.465004f, 0.002511f, 0.492938f, 0.197393f, 0.620025f, 0.137242f, 0.534812f, 0.001780f, 0.006685f, 0.001634f, 0.008463f, 0.589427f, 1.600761f, 0.499177f, 1.358117f,
0.426402f, 0.866997f, 0.005157f, 0.935284f, 0.568668f, 1.638647f, 0.399592f, 1.438357f, 0.281547f, 0.970233f, 0.261269f, 1.249927f, 1.067552f, 2.659717f, 0.913724f, 2.296337f,
0.151971f, 0.340241f, 0.002164f, 0.330132f, 0.279180f, 0.885803f, 0.230993f, 0.699350f, 0.090603f, 0.343791f, 0.099001f, 0.398363f, 0.690481f, 1.894197f, 0.695883f, 1.470962f,
0.374144f, 0.911860f, 0.005782f, 0.883790f, 0.730075f, 2.521643f, 0.655530f, 1.988658f, 0.241996f, 0.999593f, 0.286954f, 1.156983f, 0.953958f, 2.848827f, 1.043334f, 2.209843f,
0.081931f, 0.208209f, 0.001198f, 0.221655f, 0.084321f, 0.303678f, 0.071653f, 0.263055f, 0.000721f, 0.003106f, 0.000809f, 0.003948f, 0.214187f, 0.666946f, 0.221698f, 0.568253f,
0.176777f, 0.412123f, 0.002613f, 0.446470f, 0.257885f, 0.852030f, 0.221477f, 0.751063f, 0.121103f, 0.478501f, 0.137353f, 0.619058f, 0.411828f, 1.176425f, 0.430812f, 1.020011f,
0.001834f, 0.004707f, 0.000032f, 0.004587f, 0.003685f, 0.013405f, 0.003726f, 0.010628f, 0.001134f, 0.004935f, 0.001515f, 0.005742f, 0.007752f, 0.024384f, 0.009549f, 0.019016f,
0.231421f, 0.646685f, 0.004371f, 0.629440f, 0.493959f, 1.956182f, 0.542078f, 1.549266f, 0.155299f, 0.735505f, 0.225070f, 0.854929f, 0.549051f, 1.879972f, 0.733926f, 1.464492f,
0.133068f, 0.465583f, 0.001843f, 0.439919f, 0.129680f, 0.643017f, 0.104358f, 0.494372f, 0.001258f, 0.007460f, 0.001337f, 0.008418f, 0.317820f, 1.362551f, 0.311532f, 1.030393f,
0.403005f, 1.293549f, 0.005642f, 1.243793f, 0.556701f, 2.532344f, 0.452768f, 1.981269f, 0.296566f, 1.613320f, 0.318532f, 1.852544f, 0.857758f, 3.373537f, 0.849741f, 2.596122f,
0.157904f, 0.558075f, 0.002603f, 0.482652f, 0.300461f, 1.504929f, 0.287740f, 1.059041f, 0.104919f, 0.628464f, 0.132692f, 0.649089f, 0.609915f, 2.641294f, 0.711458f, 1.828236f,
0.460802f, 1.772872f, 0.008243f, 1.531572f, 0.931354f, 5.078146f, 0.967911f, 3.569612f, 0.332172f, 2.165966f, 0.455892f, 2.234574f, 0.998825f, 4.708693f, 1.264385f, 3.255630f,
0.043161f, 0.299370f, 0.001038f, 0.244480f, 0.048757f, 0.479266f, 0.068100f, 0.318469f, 0.000485f, 0.005703f, 0.000895f, 0.005562f, 0.133418f, 1.133904f, 0.226984f, 0.741115f,
0.111227f, 0.707738f, 0.002703f, 0.588162f, 0.178101f, 1.606040f, 0.251408f, 1.086016f, 0.097321f, 1.049525f, 0.181424f, 1.041598f, 0.306392f, 2.388846f, 0.526816f, 1.588866f,
0.039977f, 0.280089f, 0.001144f, 0.209362f, 0.088175f, 0.875514f, 0.146561f, 0.532500f, 0.031583f, 0.375030f, 0.069327f, 0.334773f, 0.199846f, 1.715668f, 0.404609f, 1.026380f,
0.170770f, 1.302459f, 0.005302f, 0.972487f, 0.400088f, 4.324500f, 0.721666f, 2.627309f, 0.146367f, 1.892001f, 0.348660f, 1.687034f, 0.479071f, 4.477136f, 1.052565f, 2.675435f,
0.205343f, 0.646320f, 0.003304f, 0.511574f, 0.164769f, 0.734972f, 0.154041f, 0.473356f, 0.001746f, 0.009314f, 0.002156f, 0.008804f, 0.503466f, 1.941717f, 0.573322f, 1.230047f,
0.635375f, 1.834627f, 0.010333f, 1.477743f, 0.722672f, 2.957237f, 0.682813f, 1.938174f, 0.420530f, 2.057976f, 0.524731f, 1.979585f, 1.388252f, 4.911721f, 1.597710f, 3.166351f,
0.229276f, 0.728959f, 0.004391f, 0.528117f, 0.359214f, 1.618545f, 0.399643f, 0.954130f, 0.137017f, 0.738322f, 0.201314f, 0.638786f, 0.909114f, 3.541689f, 1.231987f, 2.053581f,
0.530045f, 1.834512f, 0.011015f, 1.327598f, 0.882087f, 4.326601f, 1.064977f, 2.547702f, 0.343650f, 2.015811f, 0.547928f, 1.742123f, 1.179428f, 5.001806f, 1.734478f, 2.896993f,
0.001478f, 0.002692f, 0.000022f, 0.004777f, 0.001728f, 0.004459f, 0.001495f, 0.006438f, 0.000018f, 0.000055f, 0.000020f, 0.000116f, 0.004865f, 0.010856f, 0.005126f, 0.015417f,
0.002871f, 0.004795f, 0.000043f, 0.008659f, 0.004755f, 0.011258f, 0.004157f, 0.016542f, 0.002670f, 0.007560f, 0.003083f, 0.016303f, 0.008418f, 0.017232f, 0.008965f, 0.024904f,
0.000033f, 0.000060f, 0.000001f, 0.000098f, 0.000075f, 0.000196f, 0.000077f, 0.000259f, 0.000028f, 0.000086f, 0.000038f, 0.000167f, 0.000175f, 0.000394f, 0.000219f, 0.000513f,
0.003411f, 0.006830f, 0.000066f, 0.011081f, 0.008268f, 0.023462f, 0.009236f, 0.030973f, 0.003108f, 0.010548f, 0.004585f, 0.020437f, 0.010187f, 0.024996f, 0.013862f, 0.032456f,
0.002141f, 0.005368f, 0.000030f, 0.008454f, 0.002369f, 0.008419f, 0.001941f, 0.010789f, 0.000027f, 0.000117f, 0.000030f, 0.000220f, 0.006437f, 0.019776f, 0.006423f, 0.024928f,
0.005835f, 0.013422f, 0.000083f, 0.021512f, 0.009154f, 0.029838f, 0.007579f, 0.038912f, 0.005831f, 0.022730f, 0.006375f, 0.043505f, 0.015635f, 0.044064f, 0.015767f, 0.056522f,
0.002525f, 0.006395f, 0.000042f, 0.009219f, 0.005456f, 0.019583f, 0.005319f, 0.022971f, 0.002278f, 0.009779f, 0.002933f, 0.016834f, 0.012278f, 0.038101f, 0.014579f, 0.043959f,
0.006056f, 0.016697f, 0.000110f, 0.024044f, 0.013901f, 0.054312f, 0.014706f, 0.063636f, 0.005928f, 0.027699f, 0.008282f, 0.047633f, 0.016526f, 0.055827f, 0.021295f, 0.064338f,
0.000550f, 0.002734f, 0.000013f, 0.003721f, 0.000706f, 0.004970f, 0.001003f, 0.005504f, 0.000008f, 0.000071f, 0.000016f, 0.000115f, 0.002140f, 0.013034f, 0.003707f, 0.014200f,
0.001276f, 0.005816f, 0.000032f, 0.008056f, 0.002319f, 0.014987f, 0.003333f, 0.016893f, 0.001515f, 0.011711f, 0.002876f, 0.019373f, 0.004423f, 0.024712f, 0.007742f, 0.027397f,
0.000506f, 0.002542f, 0.000015f, 0.003167f, 0.001268f, 0.009023f, 0.002146f, 0.009147f, 0.000543f, 0.004621f, 0.001214f, 0.006876f, 0.003186f, 0.019601f, 0.006567f, 0.019545f,
0.001778f, 0.009715f, 0.000056f, 0.012091f, 0.004729f, 0.036630f, 0.008684f, 0.037094f, 0.002069f, 0.019163f, 0.005017f, 0.028481f, 0.006278f, 0.042040f, 0.014040f, 0.041874f,
0.006747f, 0.015217f, 0.000111f, 0.020077f, 0.006148f, 0.019651f, 0.005851f, 0.021096f, 0.000078f, 0.000298f, 0.000098f, 0.000469f, 0.020824f, 0.057551f, 0.024140f, 0.060769f,
0.018787f, 0.038874f, 0.000311f, 0.052192f, 0.024266f, 0.071156f, 0.023340f, 0.077734f, 0.016884f, 0.059210f, 0.021447f, 0.094934f, 0.051675f, 0.131013f, 0.060540f, 0.140777f,
0.007487f, 0.017058f, 0.000146f, 0.020599f, 0.013321f, 0.043010f, 0.015086f, 0.042262f, 0.006076f, 0.023460f, 0.009087f, 0.033832f, 0.037372f, 0.104330f, 0.051555f, 0.100833f,
0.014226f, 0.035283f, 0.000301f, 0.042560f, 0.026885f, 0.094496f, 0.033042f, 0.092748f, 0.012524f, 0.052644f, 0.020328f, 0.075835f, 0.039849f, 0.121100f, 0.059656f, 0.116912f,
0.177968f, 0.434240f, 0.002984f, 0.615541f, 0.216261f, 0.747817f, 0.210666f, 0.862537f, 0.001638f, 0.006772f, 0.002107f, 0.011464f, 0.418658f, 1.251688f, 0.496757f, 1.420029f,
0.268300f, 0.600564f, 0.004547f, 0.866314f, 0.462139f, 1.466016f, 0.454978f, 1.720723f, 0.192169f, 0.729034f, 0.249850f, 1.255877f, 0.562452f, 1.542668f, 0.674485f, 1.780997f,
0.002942f, 0.007251f, 0.000059f, 0.009407f, 0.006980f, 0.024380f, 0.008091f, 0.025739f, 0.001903f, 0.007947f, 0.002913f, 0.012314f, 0.011192f, 0.033800f, 0.015803f, 0.035098f,
0.337668f, 0.905981f, 0.007312f, 1.174169f, 0.851001f, 3.235838f, 1.070572f, 3.412353f, 0.236913f, 1.077319f, 0.393599f, 1.667396f, 0.720901f, 2.370024f, 1.104664f, 2.458322f,
0.339765f, 1.141408f, 0.005395f, 1.436041f, 0.390956f, 1.861304f, 0.360658f, 1.905456f, 0.003358f, 0.019121f, 0.004091f, 0.028729f, 0.730234f, 3.005879f, 0.820536f, 3.026717f,
0.718981f, 2.215792f, 0.011538f, 2.836903f, 1.172685f, 5.121773f, 1.093326f, 5.335701f, 0.553174f, 2.889342f, 0.681097f, 4.417712f, 1.377043f, 5.200043f, 1.563813f, 5.328401f,
0.297785f, 1.010511f, 0.005627f, 1.163678f, 0.669037f, 3.217480f, 0.734475f, 3.014831f, 0.206870f, 1.189765f, 0.299918f, 1.636197f, 1.035034f, 4.303685f, 1.384044f, 3.966491f,
0.790342f, 2.919556f, 0.016207f, 3.358362f, 1.886110f, 9.874069f, 2.247001f, 9.241925f, 0.595657f, 3.729268f, 0.937154f, 5.122915f, 1.541579f, 6.977747f, 2.237025f, 6.423924f,
0.085741f, 0.571003f, 0.002363f, 0.620903f, 0.114362f, 1.079342f, 0.183108f, 0.954993f, 0.001008f, 0.011374f, 0.002131f, 0.014770f, 0.238497f, 1.946177f, 0.465134f, 1.693722f,
0.154385f, 0.943205f, 0.004300f, 1.043713f, 0.291886f, 2.527209f, 0.472324f, 2.275474f, 0.141232f, 1.462375f, 0.301813f, 1.932487f, 0.382691f, 2.864818f, 0.754301f, 2.537152f,
0.058655f, 0.394577f, 0.001924f, 0.392720f, 0.152755f, 1.456299f, 0.291059f, 1.179389f, 0.048449f, 0.552376f, 0.121912f, 0.656551f, 0.263857f, 2.174926f, 0.612384f, 1.732486f,
0.227877f, 1.668750f, 0.008110f, 1.659057f, 0.630370f, 6.542058f, 1.303440f, 5.292247f, 0.204204f, 2.534432f, 0.557619f, 3.009079f, 0.575259f, 5.161817f, 1.448865f, 4.107212f,
0.486038f, 1.468848f, 0.008966f, 1.548063f, 0.460487f, 1.972204f, 0.493506f, 1.691294f, 0.004321f, 0.022131f, 0.006115f, 0.027855f, 1.072350f, 3.970915f, 1.399845f, 3.349476f,
1.050809f, 2.913265f, 0.019590f, 3.124506f, 1.411192f, 5.544592f, 1.528488f, 4.838677f, 0.727148f, 3.416684f, 1.040106f, 4.376118f, 2.066032f, 7.018447f, 2.725724f, 6.024443f,
0.400825f, 1.223595f, 0.008799f, 1.180361f, 0.741482f, 3.207824f, 0.945659f, 2.517930f, 0.250440f, 1.295724f, 0.421810f, 1.492701f, 1.430176f, 5.349585f, 2.221737f, 4.130208f,
0.842752f, 2.800567f, 0.020077f, 2.698625f, 1.655961f, 7.798727f, 2.291891f, 6.114711f, 0.571262f, 3.217419f, 1.044139f, 3.702432f, 1.687460f, 6.871121f, 2.844764f, 5.299058f,
0.170010f, 0.304233f, 0.001849f, 0.433767f, 0.279100f, 0.707814f, 0.176383f, 0.821156f, 0.001575f, 0.004777f, 0.001315f, 0.008134f, 0.453261f, 0.993866f, 0.348911f, 1.134106f,
0.197772f, 0.324673f, 0.002174f, 0.471072f, 0.460220f, 1.070716f, 0.293944f, 1.264069f, 0.142624f, 0.396826f, 0.120301f, 0.687581f, 0.469880f, 0.945183f, 0.365557f, 1.097568f,
0.001755f, 0.003173f, 0.000023f, 0.004140f, 0.005626f, 0.014412f, 0.004231f, 0.015304f, 0.001143f, 0.003501f, 0.001135f, 0.005457f, 0.007568f, 0.016762f, 0.006932f, 0.017507f,
0.279774f, 0.550527f, 0.003930f, 0.717654f, 0.952567f, 2.656409f, 0.777432f, 2.817646f, 0.197638f, 0.659127f, 0.213018f, 1.026096f, 0.676939f, 1.632184f, 0.672954f, 1.702862f,
0.189163f, 0.466059f, 0.001949f, 0.589782f, 0.294059f, 1.026753f, 0.175988f, 1.057235f, 0.001883f, 0.007861f, 0.001488f, 0.011880f, 0.460761f, 1.391003f, 0.335887f, 1.408811f,
0.308878f, 0.698138f, 0.003216f, 0.899044f, 0.680611f, 2.180121f, 0.411669f, 2.284421f, 0.239274f, 0.916592f, 0.191128f, 1.409610f, 0.670461f, 1.856843f, 0.493960f, 1.913769f,
0.103545f, 0.257697f, 0.001269f, 0.298487f, 0.314286f, 1.108493f, 0.223837f, 1.044731f, 0.072425f, 0.305489f, 0.068120f, 0.422565f, 0.407884f, 1.243843f, 0.353846f, 1.153071f,
0.381643f, 1.033954f, 0.005077f, 1.196290f, 1.230431f, 4.724207f, 0.950987f, 4.447537f, 0.289603f, 1.329760f, 0.295596f, 1.837347f, 0.843653f, 2.800632f, 0.794237f, 2.593377f,
0.001258f, 0.006144f, 0.000022f, 0.006720f, 0.002267f, 0.015691f, 0.002355f, 0.013964f, 0.000015f, 0.000123f, 0.000020f, 0.000161f, 0.003966f, 0.023734f, 0.005018f, 0.020776f,
0.001748f, 0.007832f, 0.000032f, 0.008717f, 0.004464f, 0.028349f, 0.004687f, 0.025674f, 0.001610f, 0.012226f, 0.002232f, 0.016250f, 0.004910f, 0.026959f, 0.006279f, 0.024015f,
0.000537f, 0.002652f, 0.000011f, 0.002655f, 0.001891f, 0.013222f, 0.002338f, 0.010770f, 0.000447f, 0.003738f, 0.000730f, 0.004468f, 0.002740f, 0.016565f, 0.004126f, 0.013273f,
0.002900f, 0.015574f, 0.000067f, 0.015574f, 0.010837f, 0.082486f, 0.014538f, 0.067117f, 0.002616f, 0.023816f, 0.004635f, 0.028441f, 0.008297f, 0.054598f, 0.013556f, 0.043697f,
0.492533f, 1.091653f, 0.005894f, 1.157232f, 0.630422f, 1.980194f, 0.438316f, 1.708046f, 0.004409f, 0.016561f, 0.004048f, 0.020965f, 1.231567f, 3.344681f, 1.042996f, 2.837692f,
0.821676f, 1.670704f, 0.009938f, 1.802292f, 1.490772f, 4.295734f, 1.047535f, 3.770672f, 0.572486f, 1.972829f, 0.531252f, 2.541547f, 1.830924f, 4.561597f, 1.567099f, 3.938375f,
0.253681f, 0.567955f, 0.003613f, 0.551081f, 0.633990f, 2.011570f, 0.524563f, 1.588154f, 0.159589f, 0.605555f, 0.174380f, 0.701679f, 1.025840f, 2.814186f, 1.033865f, 2.185390f,
0.740712f, 1.805253f, 0.011448f, 1.749681f, 1.966291f, 6.791474f, 1.765521f, 5.356000f, 0.505534f, 2.088165f, 0.599451f, 2.416955f, 1.680890f, 5.019680f, 1.838372f, 3.893780f,
0.238754f, 0.606738f, 0.003492f, 0.645918f, 0.334277f, 1.203884f, 0.284058f, 1.042838f, 0.002217f, 0.009550f, 0.002488f, 0.012141f, 0.555511f, 1.729782f, 0.574994f, 1.473812f,
0.422844f, 0.985781f, 0.006251f, 1.067939f, 0.839172f, 2.772549f, 0.720699f, 2.443998f, 0.305662f, 1.207726f, 0.346676f, 1.562490f, 0.876738f, 2.504484f, 0.917152f, 2.171495f,
0.003799f, 0.009753f, 0.000066f, 0.009504f, 0.010387f, 0.037786f, 0.010503f, 0.029959f, 0.002480f, 0.010789f, 0.003312f, 0.012555f, 0.014296f, 0.044968f, 0.017610f, 0.035069f,
0.568702f, 1.589189f, 0.010742f, 1.546809f, 1.651368f, 6.539765f, 1.812234f, 5.179393f, 0.402701f, 1.907217f, 0.583623f, 2.216889f, 1.200868f, 4.111816f, 1.605220f, 3.203091f,
0.445116f, 1.557387f, 0.006166f, 1.471540f, 0.590121f, 2.926120f, 0.474890f, 2.249693f, 0.004440f, 0.026331f, 0.004719f, 0.029712f, 0.946195f, 4.056503f, 0.927473f, 3.067621f,
1.106528f, 3.551694f, 0.015490f, 3.415077f, 2.079435f, 9.459011f, 1.691213f, 7.400592f, 0.859223f, 4.674173f, 0.922864f, 5.367262f, 2.096125f, 8.243999f, 2.076534f, 6.344209f,
0.375571f, 1.327368f, 0.006191f, 1.147975f, 0.972205f, 4.869507f, 0.931042f, 3.426744f, 0.263321f, 1.577287f, 0.333024f, 1.629051f, 1.291124f, 5.591332f, 1.506080f, 3.870177f,
1.299856f, 5.001016f, 0.023252f, 4.320346f, 3.574094f, 19.487520f, 3.714385f, 13.698480f, 0.988725f, 6.447099f, 1.356985f, 6.651314f, 2.507670f, 11.821740f, 3.174388f, 8.173648f,
0.104430f, 0.724336f, 0.002511f, 0.591528f, 0.160487f, 1.577537f, 0.224156f, 1.048263f, 0.001239f, 0.014561f, 0.002285f, 0.014201f, 0.287308f, 2.441791f, 0.488796f, 1.595944f,
0.220900f, 1.405589f, 0.005367f, 1.168107f, 0.481196f, 4.339227f, 0.679258f, 2.934219f, 0.203949f, 2.199431f, 0.380201f, 2.182819f, 0.541581f, 4.222540f, 0.931204f, 2.808489f,
0.068776f, 0.481868f, 0.001968f, 0.360187f, 0.206371f, 2.049111f, 0.343020f, 1.246297f, 0.057334f, 0.680817f, 0.125853f, 0.607734f, 0.306005f, 2.627029f, 0.619537f, 1.571592f,
0.348438f, 2.657531f, 0.010818f, 1.984257f, 1.110555f, 12.003850f, 2.003183f, 7.292824f, 0.315129f, 4.073494f, 0.750668f, 3.632199f, 0.869989f, 8.130445f, 1.911450f, 4.858570f,
0.668757f, 2.104921f, 0.010761f, 1.666085f, 0.730020f, 3.256340f, 0.682486f, 2.097233f, 0.006000f, 0.032009f, 0.007408f, 0.030256f, 1.459347f, 5.628262f, 1.661832f, 3.565415f,
1.698526f, 4.904443f, 0.027623f, 3.950396f, 2.628169f, 10.754700f, 2.483214f, 7.048634f, 1.186234f, 5.805155f, 1.480164f, 5.584030f, 3.303011f, 11.686260f, 3.801365f, 7.533570f,
0.530942f, 1.688073f, 0.010167f, 1.222976f, 1.131648f, 5.098977f, 1.259014f, 3.005839f, 0.334807f, 1.804119f, 0.491918f, 1.560900f, 1.873726f, 7.299585f, 2.539183f, 4.232526f,
1.455738f, 5.038378f, 0.030252f, 3.646170f, 3.295735f, 16.165440f, 3.979064f, 9.518954f, 0.995905f, 5.841868f, 1.587909f, 5.048714f, 2.882979f, 12.226350f, 4.239737f, 7.081374f,
0.117076f, 0.213201f, 0.001743f, 0.378319f, 0.186141f, 0.480386f, 0.161020f, 0.693610f, 0.001476f, 0.004557f, 0.001687f, 0.009656f, 0.342913f, 0.765159f, 0.361318f, 1.086664f,
0.186601f, 0.311733f, 0.002808f, 0.562914f, 0.420535f, 0.995634f, 0.367656f, 1.462899f, 0.183157f, 0.518585f, 0.211467f, 1.118308f, 0.487052f, 0.996996f, 0.518661f, 1.440876f,
0.001852f, 0.003406f, 0.000033f, 0.005532f, 0.005748f, 0.014985f, 0.005918f, 0.019804f, 0.001641f, 0.005116f, 0.002231f, 0.009924f, 0.008771f, 0.019770f, 0.010998f, 0.025698f,
0.227802f, 0.456160f, 0.004380f, 0.740067f, 0.751163f, 2.131678f, 0.839153f, 2.814047f, 0.219030f, 0.743345f, 0.323140f, 1.440215f, 0.605536f, 1.485757f, 0.823978f, 1.929195f,
0.194633f, 0.487989f, 0.002744f, 0.768560f, 0.293024f, 1.041173f, 0.240044f, 1.334280f, 0.002636f, 0.011203f, 0.002852f, 0.021071f, 0.520831f, 1.600063f, 0.519701f, 2.016879f,
0.435433f, 1.001529f, 0.006205f, 1.605171f, 0.929227f, 3.028945f, 0.769327f, 3.950072f, 0.459106f, 1.789705f, 0.501974f, 3.425486f, 1.038360f, 2.926429f, 1.047144f, 3.753795f,
0.163219f, 0.413370f, 0.002739f, 0.595899f, 0.479793f, 1.722066f, 0.467736f, 2.019945f, 0.155386f, 0.666970f, 0.200050f, 1.148215f, 0.706347f, 2.191970f, 0.838754f, 2.528966f,
0.464294f, 1.280045f, 0.008455f, 1.843225f, 1.449711f, 5.664235f, 1.533694f, 6.636667f, 0.479536f, 2.240680f, 0.669974f, 3.853150f, 1.127561f, 3.809082f, 1.453002f, 4.389833f,
0.036165f, 0.179751f, 0.000885f, 0.244680f, 0.063113f, 0.444557f, 0.089736f, 0.492392f, 0.000582f, 0.004907f, 0.001094f, 0.007976f, 0.125251f, 0.762800f, 0.216919f, 0.831023f,
0.068845f, 0.313909f, 0.001703f, 0.434831f, 0.170300f, 1.100462f, 0.244717f, 1.240362f, 0.086307f, 0.666967f, 0.163785f, 1.103327f, 0.212477f, 1.187110f, 0.371903f, 1.316082f,
0.023672f, 0.118848f, 0.000689f, 0.148076f, 0.080661f, 0.573915f, 0.136480f, 0.581831f, 0.026795f, 0.228004f, 0.059875f, 0.339250f, 0.132585f, 0.815646f, 0.273257f, 0.813335f,
0.098569f, 0.538719f, 0.003115f, 0.670463f, 0.356757f, 2.763264f, 0.655073f, 2.798276f, 0.121046f, 1.121243f, 0.293527f, 1.666462f, 0.309814f, 2.074773f, 0.692925f, 2.066606f,
0.597159f, 1.346873f, 0.009782f, 1.776974f, 0.740242f, 2.366129f, 0.704482f, 2.540085f, 0.007275f, 0.027810f, 0.009144f, 0.043817f, 1.640410f, 4.533539f, 1.901591f, 4.787029f,
1.364924f, 2.824199f, 0.022597f, 3.791746f, 2.398321f, 7.032695f, 2.306772f, 7.682831f, 1.294361f, 4.539084f, 1.644112f, 7.277714f, 3.341324f, 8.471362f, 3.914574f, 9.102728f,
0.471197f, 1.073535f, 0.009185f, 1.296391f, 1.140472f, 3.682356f, 1.291636f, 3.618272f, 0.403459f, 1.557897f, 0.603439f, 2.246682f, 2.093312f, 5.843799f, 2.887741f, 5.647934f,
1.061839f, 2.633513f, 0.022463f, 3.176687f, 2.729892f, 9.595109f, 3.355138f, 9.417694f, 0.986375f, 4.146150f, 1.600980f, 5.972649f, 2.647214f, 8.044773f, 3.962989f, 7.766535f,
0.422173f, 1.030100f, 0.007079f, 1.460180f, 0.697908f, 2.413320f, 0.679852f, 2.783539f, 0.004099f, 0.016951f, 0.005273f, 0.028696f, 0.883910f, 2.642684f, 1.048802f, 2.998103f,
0.522424f, 1.169397f, 0.008853f, 1.686857f, 1.224180f, 3.883399f, 1.205211f, 4.558102f, 0.394836f, 1.497897f, 0.513350f, 2.580367f, 0.974738f, 2.673468f, 1.168893f, 3.086497f,
0.004962f, 0.012230f, 0.000099f, 0.015868f, 0.016016f, 0.055945f, 0.018567f, 0.059062f, 0.003386f, 0.014145f, 0.005184f, 0.021917f, 0.016802f, 0.050741f, 0.023724f, 0.052690f,
0.675493f, 1.812384f, 0.014627f, 2.348885f, 2.315963f, 8.806197f, 2.913515f, 9.286575f, 0.500094f, 2.274088f, 0.830838f, 3.519668f, 1.283532f, 4.219722f, 1.966805f, 4.376933f,
0.925182f, 3.108055f, 0.014691f, 3.910340f, 1.448260f, 6.895022f, 1.336022f, 7.058577f, 0.009650f, 0.054941f, 0.011756f, 0.082548f, 1.769741f, 7.284826f, 1.988591f, 7.335328f,
1.607011f, 4.952567f, 0.025789f, 6.340826f, 3.565767f, 15.573710f, 3.324462f, 16.224200f, 1.304652f, 6.814469f, 1.606356f, 10.419100f, 2.739358f, 10.344470f, 3.110899f, 10.599810f,
0.576568f, 1.956539f, 0.010895f, 2.253098f, 1.762252f, 8.474880f, 1.934615f, 7.941101f, 0.422645f, 2.430750f, 0.612748f, 3.342832f, 1.783618f, 7.416307f, 2.385048f, 6.835239f,
1.814868f, 6.704194f, 0.037216f, 7.711826f, 5.892060f, 30.845820f, 7.019453f, 28.871050f, 1.443303f, 9.036182f, 2.270766f, 12.413050f, 3.150616f, 14.260830f, 4.571938f, 13.128950f,
0.168876f, 1.124656f, 0.004654f, 1.222939f, 0.306430f, 2.892081f, 0.490634f, 2.558889f, 0.002094f, 0.023638f, 0.004428f, 0.030696f, 0.418084f, 3.411640f, 0.815379f, 2.969087f,
0.249597f, 1.524897f, 0.006952f, 1.687390f, 0.641974f, 5.558352f, 1.038832f, 5.004683f, 0.240934f, 2.494738f, 0.514878f, 3.296725f, 0.550659f, 4.122221f, 1.085373f, 3.650738f,
0.082146f, 0.552602f, 0.002694f, 0.550001f, 0.291036f, 2.774607f, 0.554539f, 2.247026f, 0.071597f, 0.816295f, 0.180160f, 0.970244f, 0.328889f, 2.710971f, 0.763316f, 2.159485f,
0.378497f, 2.771750f, 0.013471f, 2.755650f, 1.424390f, 14.782490f, 2.945265f, 11.958410f, 0.357897f, 4.441966f, 0.977310f, 5.273855f, 0.850406f, 7.630716f, 2.141858f, 6.071694f,
1.288569f, 3.894161f, 0.023770f, 4.104172f, 1.660831f, 7.113105f, 1.779919f, 6.099955f, 0.012088f, 0.061912f, 0.017108f, 0.077924f, 2.530308f, 9.369741f, 3.303064f, 7.903397f,
2.286727f, 6.339726f, 0.042632f, 6.799419f, 4.177793f, 16.414610f, 4.525046f, 14.324770f, 1.669725f, 7.845615f, 2.388360f, 10.048730f, 4.001543f, 13.593500f, 5.279252f, 11.668290f,
0.755599f, 2.306610f, 0.016587f, 2.225110f, 1.901548f, 8.226547f, 2.425167f, 6.457295f, 0.498164f, 2.577394f, 0.839045f, 2.969211f, 2.399529f, 8.975457f, 3.727599f, 6.929604f,
1.884164f, 6.261307f, 0.044886f, 6.033392f, 5.036622f, 23.719910f, 6.970810f, 18.597960f, 1.347678f, 7.590289f, 2.463252f, 8.734494f, 3.357782f, 13.672450f, 5.660634f, 10.544290f,
0.051774f, 0.092650f, 0.000563f, 0.132098f, 0.086803f, 0.220136f, 0.054857f, 0.255387f, 0.000575f, 0.001744f, 0.000480f, 0.002970f, 0.175067f, 0.383871f, 0.134763f, 0.438036f,
0.079608f, 0.130689f, 0.000875f, 0.189618f, 0.189186f, 0.440148f, 0.120834f, 0.519631f, 0.068830f, 0.191507f, 0.058057f, 0.331824f, 0.239880f, 0.482530f, 0.186622f, 0.560324f,
0.000781f, 0.001411f, 0.000010f, 0.001842f, 0.002556f, 0.006548f, 0.001922f, 0.006953f, 0.000610f, 0.001867f, 0.000605f, 0.002910f, 0.004270f, 0.009457f, 0.003911f, 0.009878f,
0.123265f, 0.242556f, 0.001732f, 0.316190f, 0.428609f, 1.195256f, 0.349807f, 1.267805f, 0.104399f, 0.348173f, 0.112523f, 0.542018f, 0.378267f, 0.912050f, 0.376041f, 0.951545f,
0.071300f, 0.175670f, 0.000734f, 0.222304f, 0.113194f, 0.395233f, 0.067744f, 0.406967f, 0.000851f, 0.003552f, 0.000672f, 0.005369f, 0.220266f, 0.664966f, 0.160570f, 0.673479f,
0.153884f, 0.347815f, 0.001602f, 0.447907f, 0.346288f, 1.109225f, 0.209453f, 1.162291f, 0.142921f, 0.547488f, 0.114162f, 0.841972f, 0.423639f, 1.173270f, 0.312115f, 1.209240f,
0.057015f, 0.141895f, 0.000699f, 0.164355f, 0.176731f, 0.623335f, 0.125870f, 0.587480f, 0.047812f, 0.201671f, 0.044970f, 0.278960f, 0.284845f, 0.868636f, 0.247108f, 0.805245f,
0.208116f, 0.563832f, 0.002769f, 0.652356f, 0.685232f, 2.630931f, 0.529609f, 2.476853f, 0.189340f, 0.869387f, 0.193259f, 1.201244f, 0.583483f, 1.936959f, 0.549306f, 1.793618f,
0.000706f, 0.003448f, 0.000013f, 0.003772f, 0.001299f, 0.008993f, 0.001350f, 0.008004f, 0.000010f, 0.000083f, 0.000014f, 0.000108f, 0.002823f, 0.016894f, 0.003572f, 0.014788f,
0.001297f, 0.005810f, 0.000023f, 0.006466f, 0.003382f, 0.021476f, 0.003551f, 0.019450f, 0.001432f, 0.010873f, 0.001985f, 0.014452f, 0.004620f, 0.025363f, 0.005907f, 0.022593f,
0.000441f, 0.002174f, 0.000009f, 0.002176f, 0.001583f, 0.011071f, 0.001957f, 0.009018f, 0.000439f, 0.003674f, 0.000717f, 0.004392f, 0.002849f, 0.017225f, 0.004290f, 0.013801f,
0.002355f, 0.012646f, 0.000054f, 0.012646f, 0.008986f, 0.068399f, 0.012055f, 0.055654f, 0.002547f, 0.023184f, 0.004512f, 0.027687f, 0.008544f, 0.056225f, 0.013960f, 0.044998f,
0.182506f, 0.404508f, 0.002184f, 0.428808f, 0.238565f, 0.749346f, 0.165868f, 0.646359f, 0.001959f, 0.007357f, 0.001798f, 0.009314f, 0.578784f, 1.571857f, 0.490164f, 1.333594f,
0.402434f, 0.818263f, 0.004867f, 0.882711f, 0.745653f, 2.148638f, 0.523955f, 1.886013f, 0.336163f, 1.158443f, 0.311951f, 1.492394f, 1.137313f, 2.833521f, 0.973433f, 2.446396f,
0.137319f, 0.307437f, 0.001956f, 0.298304f, 0.350475f, 1.112014f, 0.289983f, 0.877946f, 0.103571f, 0.392997f, 0.113170f, 0.455379f, 0.704269f, 1.932021f, 0.709779f, 1.500334f,
0.397086f, 0.967772f, 0.006137f, 0.937981f, 1.076503f, 3.718189f, 0.966585f, 2.932298f, 0.324921f, 1.342121f, 0.385284f, 1.553444f, 1.142854f, 3.412929f, 1.249927f, 2.647419f,
0.071518f, 0.181746f, 0.001046f, 0.193483f, 0.102259f, 0.368283f, 0.086897f, 0.319017f, 0.000796f, 0.003430f, 0.000894f, 0.004360f, 0.211044f, 0.657161f, 0.218446f, 0.559916f,
0.167415f, 0.390298f, 0.002475f, 0.422826f, 0.339312f, 1.121056f, 0.291408f, 0.988209f, 0.145094f, 0.573292f, 0.164563f, 0.741694f, 0.440252f, 1.257622f, 0.460546f, 1.090412f,
0.001663f, 0.004268f, 0.000029f, 0.004159f, 0.004642f, 0.016886f, 0.004694f, 0.013388f, 0.001301f, 0.005660f, 0.001738f, 0.006587f, 0.007934f, 0.024957f, 0.009773f, 0.019463f,
0.246457f, 0.688704f, 0.004655f, 0.670338f, 0.730859f, 2.894355f, 0.802055f, 2.292285f, 0.209234f, 0.990944f, 0.303237f, 1.151843f, 0.660038f, 2.259994f, 0.882283f, 1.760527f,
0.165026f, 0.577399f, 0.002286f, 0.545571f, 0.223436f, 1.107908f, 0.179806f, 0.851794f, 0.001974f, 0.011704f, 0.002098f, 0.013207f, 0.444914f, 1.907423f, 0.436111f, 1.442437f,
0.542242f, 1.740467f, 0.007591f, 1.673520f, 1.040658f, 4.733785f, 0.846372f, 3.703644f, 0.504810f, 2.746168f, 0.542201f, 3.153371f, 1.302758f, 5.123709f, 1.290582f, 3.942975f,
0.203410f, 0.718905f, 0.003353f, 0.621745f, 0.537737f, 2.693377f, 0.514969f, 1.895370f, 0.170985f, 1.024194f, 0.216246f, 1.057807f, 0.886878f, 3.840707f, 1.034532f, 2.658439f,
0.697216f, 2.682442f, 0.012472f, 2.317344f, 1.957809f, 10.674830f, 2.034657f, 7.503724f, 0.635827f, 4.145990f, 0.872648f, 4.277316f, 1.705920f, 8.042098f, 2.159475f, 5.560375f,
0.057649f, 0.399857f, 0.001386f, 0.326543f, 0.090477f, 0.889358f, 0.126371f, 0.590973f, 0.000820f, 0.009637f, 0.001512f, 0.009399f, 0.201154f, 1.709580f, 0.342223f, 1.117374f,
0.161180f, 1.025591f, 0.003916f, 0.852312f, 0.358567f, 3.233411f, 0.506155f, 2.186457f, 0.178414f, 1.924059f, 0.332599f, 1.909527f, 0.501182f, 3.907563f, 0.861742f, 2.598992f,
0.055463f, 0.388592f, 0.001587f, 0.290465f, 0.169960f, 1.687576f, 0.282499f, 1.026407f, 0.055434f, 0.658245f, 0.121681f, 0.587585f, 0.312975f, 2.686870f, 0.633650f, 1.607391f,
0.278281f, 2.122443f, 0.008640f, 1.584731f, 0.905796f, 9.790629f, 1.633845f, 5.948205f, 0.301744f, 3.900469f, 0.718782f, 3.477918f, 0.881227f, 8.235467f, 1.936140f, 4.921328f,
0.243744f, 0.767188f, 0.003922f, 0.607244f, 0.271727f, 1.212071f, 0.254034f, 0.780630f, 0.002622f, 0.013987f, 0.003237f, 0.013221f, 0.674591f, 2.601695f, 0.768191f, 1.648133f,
0.818256f, 2.362691f, 0.013307f, 1.903084f, 1.293013f, 5.291125f, 1.221698f, 3.467805f, 0.685140f, 3.352919f, 0.854908f, 3.225202f, 2.018104f, 7.140174f, 2.322593f, 4.602929f,
0.282692f, 0.898789f, 0.005413f, 0.651155f, 0.615333f, 2.772568f, 0.684589f, 1.634424f, 0.213724f, 1.151659f, 0.314016f, 0.996400f, 1.265287f, 4.929252f, 1.714656f, 2.858133f,
0.767612f, 2.656744f, 0.015952f, 1.922630f, 1.774776f, 8.705200f, 2.142753f, 5.126023f, 0.629606f, 3.693197f, 1.003867f, 3.191770f, 1.928042f, 8.176586f, 2.835397f, 4.735792f,
0.026099f, 0.047527f, 0.000389f, 0.084335f, 0.042376f, 0.109363f, 0.036657f, 0.157905f, 0.000395f, 0.001218f, 0.000451f, 0.002581f, 0.096950f, 0.216330f, 0.102154f, 0.307227f,
0.054981f, 0.091851f, 0.000827f, 0.165860f, 0.126542f, 0.299593f, 0.110630f, 0.440196f, 0.064702f, 0.183194f, 0.074702f, 0.395051f, 0.182008f, 0.372571f, 0.193820f, 0.538446f,
0.000603f, 0.001109f, 0.000011f, 0.001802f, 0.001912f, 0.004984f, 0.001968f, 0.006586f, 0.000641f, 0.001998f, 0.000871f, 0.003874f, 0.003623f, 0.008165f, 0.004542f, 0.010614f,
0.073468f, 0.147116f, 0.001413f, 0.238678f, 0.247404f, 0.702094f, 0.276385f, 0.926840f, 0.084691f, 0.287424f, 0.124946f, 0.556879f, 0.247684f, 0.607722f, 0.337033f, 0.789103f,
0.053701f, 0.134639f, 0.000757f, 0.212051f, 0.082565f, 0.293372f, 0.067637f, 0.375961f, 0.000872f, 0.003706f, 0.000943f, 0.006970f, 0.182254f, 0.559907f, 0.181858f, 0.705763f,
0.158795f, 0.365239f, 0.002263f, 0.585377f, 0.346073f, 1.128075f, 0.286522f, 1.471132f, 0.200733f, 0.782506f, 0.219476f, 1.497712f, 0.480262f, 1.353532f, 0.484325f, 1.736205f,
0.065786f, 0.166610f, 0.001104f, 0.240180f, 0.197492f, 0.708836f, 0.192529f, 0.831449f, 0.075087f, 0.322301f, 0.096670f, 0.554854f, 0.361075f, 1.120507f, 0.428760f, 1.292775f,
0.185331f, 0.510953f, 0.003375f, 0.735757f, 0.590976f, 2.309029f, 0.625211f, 2.705442f, 0.229493f, 1.072328f, 0.320631f, 1.844012f, 0.570837f, 1.928379f, 0.735594f, 2.222388f,
0.014857f, 0.073845f, 0.000364f, 0.100519f, 0.026479f, 0.186513f, 0.037648f, 0.206582f, 0.000287f, 0.002417f, 0.000539f, 0.003929f, 0.065260f, 0.397444f, 0.113022f, 0.432990f,
0.037383f, 0.170453f, 0.000925f, 0.236114f, 0.094438f, 0.610250f, 0.135705f, 0.687829f, 0.056187f, 0.434206f, 0.106627f, 0.718284f, 0.146328f, 0.817537f, 0.256121f, 0.906357f,
0.014206f, 0.071325f, 0.000414f, 0.088866f, 0.049436f, 0.351746f, 0.083647f, 0.356598f, 0.019280f, 0.164053f, 0.043081f, 0.244096f, 0.100916f, 0.620822f, 0.207987f, 0.619063f,
0.058584f, 0.320187f, 0.001852f, 0.398489f, 0.216544f, 1.677244f, 0.397616f, 1.698496f, 0.086255f, 0.798975f, 0.209161f, 1.187487f, 0.233539f, 1.563970f, 0.522329f, 1.557813f,
0.161972f, 0.365323f, 0.002653f, 0.481982f, 0.205048f, 0.655421f, 0.195142f, 0.703608f, 0.002366f, 0.009044f, 0.002973f, 0.014249f, 0.564311f, 1.559564f, 0.654159f, 1.646766f,
0.489339f, 1.012503f, 0.008101f, 1.359378f, 0.878094f, 2.574870f, 0.844575f, 2.812903f, 0.556350f, 1.951018f, 0.706683f, 3.128153f, 1.519273f, 3.851860f, 1.779926f, 4.138937f,
0.186704f, 0.425370f, 0.003640f, 0.513673f, 0.461496f, 1.490077f, 0.522665f, 1.464145f, 0.191665f, 0.740084f, 0.286666f, 1.067294f, 1.051963f, 2.936716f, 1.451192f, 2.838287f,
0.416679f, 1.033423f, 0.008815f, 1.246571f, 1.094008f, 3.845254f, 1.344577f, 3.774155f, 0.464063f, 1.950652f, 0.753218f, 2.809970f, 1.317492f, 4.003803f, 1.972340f, 3.865327f,
0.168111f, 0.410191f, 0.002819f, 0.581450f, 0.283816f, 0.981417f, 0.276473f, 1.131973f, 0.001957f, 0.008093f, 0.002518f, 0.013700f, 0.446407f, 1.334652f, 0.529683f, 1.514151f,
0.274967f, 0.615488f, 0.004660f, 0.887843f, 0.658014f, 2.087383f, 0.647819f, 2.450046f, 0.249153f, 0.945218f, 0.323939f, 1.628288f, 0.650672f, 1.784633f, 0.780277f, 2.060345f,
0.002886f, 0.007114f, 0.000058f, 0.009231f, 0.009515f, 0.033235f, 0.011030f, 0.035087f, 0.002362f, 0.009865f, 0.003615f, 0.015285f, 0.012396f, 0.037436f, 0.017503f, 0.038873f,
0.389153f, 1.044118f, 0.008427f, 1.353198f, 1.362584f, 5.181079f, 1.714151f, 5.463707f, 0.345417f, 1.570719f, 0.573863f, 2.431045f, 0.937826f, 3.083184f, 1.437066f, 3.198052f,
0.455982f, 1.531827f, 0.007240f, 1.927239f, 0.728954f, 3.470477f, 0.672461f, 3.552799f, 0.005702f, 0.032465f, 0.006947f, 0.048778f, 1.106234f, 4.553617f, 1.243033f, 4.585185f,
1.046867f, 3.226286f, 0.016800f, 4.130649f, 2.372236f, 10.360890f, 2.211700f, 10.793640f, 1.018964f, 5.322264f, 1.254602f, 8.137572f, 2.263276f, 8.546666f, 2.570245f, 8.757633f,
0.415119f, 1.408674f, 0.007844f, 1.622191f, 1.295753f, 6.231432f, 1.422489f, 5.838953f, 0.364829f, 2.098235f, 0.528927f, 2.885549f, 1.628695f, 6.772138f, 2.177887f, 6.241540f,
1.294074f, 4.780361f, 0.026536f, 5.498843f, 4.290557f, 22.461710f, 5.111517f, 21.023700f, 1.233853f, 7.724867f, 1.941236f, 10.611690f, 2.849218f, 12.896600f, 4.134572f, 11.872990f,
0.123930f, 0.825328f, 0.003415f, 0.897453f, 0.229652f, 2.167454f, 0.367703f, 1.917744f, 0.001843f, 0.020797f, 0.003896f, 0.027007f, 0.389123f, 3.175311f, 0.758896f, 2.763414f,
0.242101f, 1.479104f, 0.006743f, 1.636717f, 0.635928f, 5.506006f, 1.029048f, 4.957552f, 0.280187f, 2.901183f, 0.598762f, 3.833831f, 0.677418f, 5.071141f, 1.335222f, 4.491125f,
0.088063f, 0.592407f, 0.002888f, 0.589619f, 0.318630f, 3.037676f, 0.607117f, 2.460073f, 0.092022f, 1.049172f, 0.231557f, 1.247040f, 0.447170f, 3.685943f, 1.037834f, 2.936121f,
0.401849f, 2.942753f, 0.014302f, 2.925660f, 1.544405f, 16.028020f, 3.193425f, 12.965990f, 0.455564f, 5.654146f, 1.244011f, 6.713051f, 1.145097f, 10.274990f, 2.884076f, 8.175718f,
0.624332f, 1.886783f, 0.011517f, 1.988537f, 0.821799f, 3.519652f, 0.880726f, 3.018333f, 0.007022f, 0.035965f, 0.009938f, 0.045266f, 1.554883f, 5.757736f, 2.029744f, 4.856663f,
1.464447f, 4.060036f, 0.027302f, 4.354429f, 2.732365f, 10.735500f, 2.959476f, 9.368701f, 1.282024f, 6.023908f, 1.833796f, 7.715474f, 3.250148f, 11.040960f, 4.287932f, 9.477262f,
0.534811f, 1.632612f, 0.011740f, 1.574927f, 1.374512f, 5.946464f, 1.753004f, 4.667581f, 0.422739f, 2.187164f, 0.712010f, 2.519659f, 2.154026f, 8.057151f, 3.346217f, 6.220616f,
1.320747f, 4.389004f, 0.031464f, 4.229242f, 3.605561f, 16.980350f, 4.990185f, 13.313700f, 1.132607f, 6.378980f, 2.070150f, 7.340585f, 2.985174f, 12.155240f, 5.032482f, 9.374209f,
0.134803f, 0.241230f, 0.001466f, 0.343940f, 0.182164f, 0.461980f, 0.115123f, 0.535957f, 0.001168f, 0.003544f, 0.000975f, 0.006034f, 0.369390f, 0.809963f, 0.284349f, 0.924252f,
0.236979f, 0.389038f, 0.002605f, 0.564460f, 0.453930f, 1.056083f, 0.289927f, 1.246793f, 0.159886f, 0.444855f, 0.134862f, 0.770800f, 0.578686f, 1.164053f, 0.450206f, 1.351724f,
0.001642f, 0.002968f, 0.000021f, 0.003873f, 0.004332f, 0.011098f, 0.003258f, 0.011784f, 0.001000f, 0.003064f, 0.000993f, 0.004776f, 0.007276f, 0.016116f, 0.006665f, 0.016832f,
0.236708f, 0.465785f, 0.003325f, 0.607185f, 0.663407f, 1.850033f, 0.541436f, 1.962326f, 0.156441f, 0.521733f, 0.168615f, 0.812208f, 0.588663f, 1.419341f, 0.585198f, 1.480802f,
0.135102f, 0.332863f, 0.001392f, 0.421227f, 0.172877f, 0.603627f, 0.103463f, 0.621548f, 0.001258f, 0.005253f, 0.000994f, 0.007938f, 0.338230f, 1.021090f, 0.246564f, 1.034163f,
0.333374f, 0.753504f, 0.003471f, 0.970344f, 0.604675f, 1.936883f, 0.365739f, 2.029546f, 0.241609f, 0.925536f, 0.192993f, 1.423364f, 0.743754f, 2.059829f, 0.547959f, 2.122978f,
0.087248f, 0.217138f, 0.001070f, 0.251508f, 0.217986f, 0.768842f, 0.155252f, 0.724617f, 0.057093f, 0.240820f, 0.053700f, 0.333113f, 0.353243f, 1.077216f, 0.306444f, 0.998603f,
0.290846f, 0.787965f, 0.003869f, 0.911679f, 0.771864f, 2.963553f, 0.596566f, 2.789995f, 0.206482f, 0.948094f, 0.210755f, 1.309994f, 0.660817f, 2.193678f, 0.622110f, 2.031339f,
0.001187f, 0.005799f, 0.000021f, 0.006343f, 0.001761f, 0.012190f, 0.001829f, 0.010848f, 0.000013f, 0.000109f, 0.000018f, 0.000142f, 0.003847f, 0.023023f, 0.004867f, 0.020153f,
0.002493f, 0.011170f, 0.000045f, 0.012432f, 0.005241f, 0.033282f, 0.005502f, 0.030142f, 0.002148f, 0.016313f, 0.002978f, 0.021683f, 0.007198f, 0.039519f, 0.009204f, 0.035203f,
0.000598f, 0.002953f, 0.000013f, 0.002956f, 0.001733f, 0.012119f, 0.002143f, 0.009872f, 0.000466f, 0.003894f, 0.000760f, 0.004655f, 0.003136f, 0.018958f, 0.004722f, 0.015190f,
0.002920f, 0.015684f, 0.000067f, 0.015684f, 0.008984f, 0.068378f, 0.012051f, 0.055638f, 0.002465f, 0.022439f, 0.004367f, 0.026796f, 0.008588f, 0.056513f, 0.014032f, 0.045229f,
0.388910f, 0.861981f, 0.004654f, 0.913764f, 0.409754f, 1.287062f, 0.284891f, 1.110174f, 0.003257f, 0.012234f, 0.002990f, 0.015488f, 0.999500f, 2.714435f, 0.846462f, 2.302979f,
0.980469f, 1.993575f, 0.011859f, 2.150594f, 1.464275f, 4.219381f, 1.028916f, 3.703652f, 0.639102f, 2.202394f, 0.593071f, 2.837290f, 2.245509f, 5.594501f, 1.921945f, 4.830161f,
0.236321f, 0.529088f, 0.003366f, 0.513369f, 0.486155f, 1.542509f, 0.402245f, 1.217826f, 0.139088f, 0.527765f, 0.151979f, 0.611541f, 0.982212f, 2.694501f, 0.989896f, 2.092447f,
0.624085f, 1.521011f, 0.009645f, 1.474189f, 1.363704f, 4.710168f, 1.224462f, 3.714608f, 0.398489f, 1.646006f, 0.472520f, 1.905177f, 1.455609f, 4.346918f, 1.591984f, 3.371917f,
0.284825f, 0.723816f, 0.004166f, 0.770557f, 0.328255f, 1.182199f, 0.278942f, 1.024053f, 0.002475f, 0.010658f, 0.002777f, 0.013551f, 0.681132f, 2.120948f, 0.705020f, 1.807094f,
0.762302f, 1.777165f, 0.011269f, 1.925279f, 1.245307f, 4.114382f, 1.069496f, 3.626822f, 0.515539f, 2.036986f, 0.584713f, 2.635341f, 1.624532f, 4.640628f, 1.699416f, 4.023622f,
0.005347f, 0.013727f, 0.000093f, 0.013376f, 0.012033f, 0.043776f, 0.012169f, 0.034708f, 0.003265f, 0.014206f, 0.004361f, 0.016531f, 0.020681f, 0.065049f, 0.025474f, 0.050729f,
0.723924f, 2.022943f, 0.013674f, 1.968995f, 1.730335f, 6.852491f, 1.898894f, 5.427068f, 0.479583f, 2.271332f, 0.695045f, 2.640126f, 1.571139f, 5.379639f, 2.100167f, 4.190721f,
0.478300f, 1.673491f, 0.006625f, 1.581243f, 0.521971f, 2.588195f, 0.420047f, 1.989885f, 0.004464f, 0.026471f, 0.004744f, 0.029870f, 1.045006f, 4.480120f, 1.024329f, 3.387970f,
1.796838f, 5.767424f, 0.025154f, 5.545580f, 2.779520f, 12.643590f, 2.260596f, 9.892159f, 1.305343f, 7.101067f, 1.402028f, 8.154017f, 3.498443f, 13.759280f, 3.465746f, 10.588520f,
0.476123f, 1.682748f, 0.007848f, 1.455325f, 1.014527f, 5.081486f, 0.971572f, 3.575917f, 0.312310f, 1.870728f, 0.394980f, 1.932122f, 1.682313f, 7.285411f, 1.962397f, 5.042775f,
1.490399f, 5.734105f, 0.026660f, 4.953656f, 3.373274f, 18.392560f, 3.505682f, 12.928790f, 1.060609f, 6.915828f, 1.455643f, 7.134890f, 2.955214f, 13.931560f, 3.740922f, 9.632401f,
0.148289f, 1.028539f, 0.003565f, 0.839954f, 0.187585f, 1.843904f, 0.262005f, 1.225262f, 0.001646f, 0.019344f, 0.003035f, 0.018866f, 0.419314f, 3.563692f, 0.713378f, 2.329215f,
0.474019f, 3.016189f, 0.011517f, 2.506588f, 0.849964f, 7.664624f, 1.199812f, 5.182878f, 0.409444f, 4.415532f, 0.763284f, 4.382182f, 1.194469f, 9.312908f, 2.053791f, 6.194186f,
0.115218f, 0.807253f, 0.003296f, 0.603406f, 0.284583f, 2.825694f, 0.473020f, 1.718625f, 0.089860f, 1.067048f, 0.197251f, 0.952505f, 0.526891f, 4.523323f, 1.066744f, 2.706030f,
0.527943f, 4.026610f, 0.016391f, 3.006486f, 1.385095f, 14.971310f, 2.498389f, 9.095681f, 0.446706f, 5.774320f, 1.064097f, 5.148769f, 1.354835f, 12.661550f, 2.976703f, 7.566255f,
0.794481f, 2.500639f, 0.012785f, 1.979303f, 0.713884f, 3.184368f, 0.667402f, 2.050880f, 0.006669f, 0.035576f, 0.008234f, 0.033628f, 1.781907f, 6.872278f, 2.029147f, 4.353480f,
3.049349f, 8.804904f, 0.049592f, 7.092112f, 3.883886f, 15.893210f, 3.669672f, 10.416410f, 1.992406f, 9.750374f, 2.486093f, 9.378970f, 6.094754f, 21.563610f, 7.014324f, 13.901030f,
0.744154f, 2.365959f, 0.014250f, 1.714092f, 1.305587f, 5.882709f, 1.452529f, 3.467847f, 0.439019f, 2.365668f, 0.645033f, 2.046745f, 2.699190f, 10.515390f, 3.657812f, 6.097151f,
1.845351f, 6.386850f, 0.038349f, 4.622030f, 3.438954f, 16.867920f, 4.151978f, 9.932609f, 1.181099f, 6.928195f, 1.883189f, 5.987549f, 3.756200f, 15.929570f, 5.523903f, 9.226239f,
0.118026f, 0.214930f, 0.001757f, 0.381387f, 0.154465f, 0.398636f, 0.133619f, 0.575574f, 0.001392f, 0.004297f, 0.001591f, 0.009107f, 0.355306f, 0.792812f, 0.374377f, 1.125937f,
0.284276f, 0.474909f, 0.004278f, 0.857570f, 0.527361f, 1.248548f, 0.461049f, 1.834509f, 0.261050f, 0.739128f, 0.301399f, 1.593901f, 0.762630f, 1.561104f, 0.812123f, 2.256136f,
0.002202f, 0.004051f, 0.000039f, 0.006580f, 0.005628f, 0.014671f, 0.005793f, 0.019388f, 0.001826f, 0.005693f, 0.002482f, 0.011042f, 0.010722f, 0.024167f, 0.013444f, 0.031414f,
0.245045f, 0.490688f, 0.004712f, 0.796085f, 0.665121f, 1.887505f, 0.743032f, 2.491712f, 0.220427f, 0.748085f, 0.325200f, 1.449400f, 0.669483f, 1.642658f, 0.910993f, 2.132926f,
0.176736f, 0.443115f, 0.002492f, 0.697887f, 0.219022f, 0.778230f, 0.179422f, 0.997314f, 0.002240f, 0.009517f, 0.002423f, 0.017901f, 0.486088f, 1.493328f, 0.485034f, 1.882340f,
0.597514f, 1.374327f, 0.008515f, 2.202663f, 1.049606f, 3.421340f, 0.868992f, 4.461797f, 0.589403f, 2.297632f, 0.644437f, 4.397656f, 1.464488f, 4.127394f, 1.476876f, 5.294298f,
0.174855f, 0.442839f, 0.002934f, 0.638381f, 0.423096f, 1.518573f, 0.412465f, 1.781252f, 0.155737f, 0.668477f, 0.200502f, 1.150810f, 0.777744f, 2.413535f, 0.923535f, 2.784595f,
0.449863f, 1.240260f, 0.008192f, 1.785936f, 1.156238f, 4.517592f, 1.223220f, 5.293169f, 0.434692f, 2.031140f, 0.607320f, 3.492818f, 1.122895f, 3.793317f, 1.446988f, 4.371664f,
0.043396f, 0.215691f, 0.001062f, 0.293602f, 0.062339f, 0.439103f, 0.088635f, 0.486351f, 0.000654f, 0.005508f, 0.001228f, 0.008954f, 0.154473f, 0.940769f, 0.267528f, 1.024909f,
0.124840f, 0.569225f, 0.003088f, 0.788499f, 0.254199f, 1.642608f, 0.365278f, 1.851429f, 0.146420f, 1.131506f, 0.277861f, 1.871791f, 0.396007f, 2.212498f, 0.693140f, 2.452871f,
0.033512f, 0.168250f, 0.000976f, 0.209627f, 0.093994f, 0.668786f, 0.159041f, 0.678010f, 0.035489f, 0.301979f, 0.079301f, 0.449318f, 0.192916f, 1.186791f, 0.397598f, 1.183429f,
0.126206f, 0.689769f, 0.003989f, 0.858453f, 0.376004f, 2.912340f, 0.690414f, 2.949241f, 0.144999f, 1.343117f, 0.351610f, 1.996224f, 0.407712f, 2.730382f, 0.911883f, 2.719634f,
0.599494f, 1.352141f, 0.009820f, 1.783924f, 0.611712f, 1.955294f, 0.582161f, 2.099046f, 0.006833f, 0.026120f, 0.008588f, 0.041154f, 1.692618f, 4.677824f, 1.962112f, 4.939382f,
2.070731f, 4.284602f, 0.034282f, 5.752470f, 2.995027f, 8.782438f, 2.880699f, 9.594329f, 1.837143f, 6.442520f, 2.333560f, 10.329580f, 5.210086f, 13.209290f, 6.103949f, 14.193780f,
0.558083f, 1.271488f, 0.010879f, 1.535437f, 1.111883f, 3.590047f, 1.259258f, 3.527570f, 0.447062f, 1.726265f, 0.668655f, 2.489489f, 2.548247f, 7.113818f, 3.515327f, 6.875386f,
1.137456f, 2.821055f, 0.024063f, 3.402911f, 2.407131f, 8.460659f, 2.958453f, 8.304220f, 0.988532f, 4.155216f, 1.604481f, 5.985708f, 2.914583f, 8.857296f, 4.363251f, 8.550956f,
0.416808f, 1.017010f, 0.006989f, 1.441624f, 0.567181f, 1.961277f, 0.552508f, 2.262150f, 0.003786f, 0.015658f, 0.004871f, 0.026505f, 0.896944f, 2.681652f, 1.064267f, 3.042312f,
0.779450f, 1.744728f, 0.013208f, 2.516773f, 1.503451f, 4.769313f, 1.480155f, 5.597936f, 0.551131f, 2.090837f, 0.716559f, 3.601800f, 1.494737f, 4.099699f, 1.792469f, 4.733069f,
0.005780f, 0.014245f, 0.000115f, 0.018483f, 0.015357f, 0.053640f, 0.017802f, 0.056628f, 0.003690f, 0.015414f, 0.005649f, 0.023883f, 0.020114f, 0.060746f, 0.028402f, 0.063079f,
0.711619f, 1.909312f, 0.015409f, 2.474506f, 2.008336f, 7.636480f, 2.526517f, 8.053051f, 0.492891f, 2.241333f, 0.818871f, 3.468972f, 1.389775f, 4.569006f, 2.129606f, 4.739230f,
0.822758f, 2.763973f, 0.013064f, 3.477440f, 1.060156f, 5.047298f, 0.977995f, 5.167024f, 0.008028f, 0.045710f, 0.009781f, 0.068679f, 1.617581f, 6.658487f, 1.817615f, 6.704647f,
2.159652f, 6.655723f, 0.034657f, 8.521395f, 3.944538f, 17.228010f, 3.677600f, 17.947600f, 1.640333f, 8.567801f, 2.019664f, 13.099890f, 3.783772f, 14.288420f, 4.296968f, 14.641120f,
0.604918f, 2.052743f, 0.011431f, 2.363883f, 1.521921f, 7.319102f, 1.670778f, 6.858118f, 0.414853f, 2.385936f, 0.601451f, 3.281203f, 1.923353f, 7.997330f, 2.571902f, 7.370738f,
1.722149f, 6.361689f, 0.035314f, 7.317842f, 4.602261f, 24.093520f, 5.482863f, 22.551040f, 1.281315f, 8.022012f, 2.015908f, 11.019880f, 3.072788f, 13.908550f, 4.459000f, 12.804630f,
0.198457f, 1.321657f, 0.005469f, 1.437156f, 0.296421f, 2.797614f, 0.474608f, 2.475305f, 0.002303f, 0.025989f, 0.004869f, 0.033748f, 0.504980f, 4.120724f, 0.984849f, 3.586190f,
0.443259f, 2.708066f, 0.012346f, 2.996637f, 0.938457f, 8.125368f, 1.518596f, 7.315998f, 0.400303f, 4.144920f, 0.855452f, 5.477394f, 1.005107f, 7.524218f, 1.981112f, 6.663628f,
0.113890f, 0.766148f, 0.003735f, 0.762541f, 0.332142f, 3.166501f, 0.632864f, 2.564402f, 0.092868f, 1.058813f, 0.233685f, 1.258500f, 0.468663f, 3.863100f, 1.087715f, 3.077240f,
0.474616f, 3.475632f, 0.016892f, 3.455443f, 1.470235f, 15.258280f, 3.040062f, 12.343300f, 0.419866f, 5.211077f, 1.146528f, 6.187004f, 1.096017f, 9.834592f, 2.760461f, 7.825298f,
1.266897f, 3.828666f, 0.023370f, 4.035146f, 1.344118f, 5.756667f, 1.440496f, 4.936720f, 0.011119f, 0.056949f, 0.015736f, 0.071677f, 2.556927f, 9.468311f, 3.337812f, 7.986541f,
3.397565f, 9.419414f, 0.063342f, 10.102420f, 5.109502f, 20.075310f, 5.534197f, 17.519400f, 2.320977f, 10.905680f, 3.319906f, 13.968100f, 6.110718f, 20.758510f, 8.061894f, 17.818540f,
0.876448f, 2.675523f, 0.019240f, 2.580989f, 1.815600f, 7.854714f, 2.315552f, 6.165431f, 0.540604f, 2.796970f, 0.910526f, 3.222167f, 2.860697f, 10.700460f, 4.444009f, 8.261411f,
1.976665f, 6.568699f, 0.047089f, 6.329595f, 4.349427f, 20.483570f, 6.019714f, 16.060460f, 1.322736f, 7.449810f, 2.417663f, 8.572838f, 3.620580f, 14.742530f, 6.103666f, 11.369550f,
};

static const float acceptor_me2x3acc3[16384] = {
0.036350f, 0.044079f, 0.017386f, 0.046962f, 0.031088f, 0.045756f, 0.024587f, 0.034370f, 0.025195f, 0.034486f, 0.017536f, 0.034052f, 0.076383f, 0.099866f, 0.073811f, 0.086068f,
0.047550f, 0.057744f, 0.028229f, 0.064311f, 0.043775f, 0.064522f, 0.042972f, 0.050664f, 0.064784f, 0.088804f, 0.055968f, 0.091663f, 0.081233f, 0.106361f, 0.097434f, 0.095823f,
0.243824f, 0.254641f, 0.117527f, 0.282971f, 0.147646f, 0.187151f, 0.117680f, 0.146631f, 0.160177f, 0.188823f, 0.112355f, 0.194472f, 0.391222f, 0.440520f, 0.380999f, 0.395997f,
0.023217f, 0.027583f, 0.011848f, 0.035175f, 0.032216f, 0.046454f, 0.027185f, 0.041768f, 0.034881f, 0.046775f, 0.025903f, 0.055285f, 0.052301f, 0.066993f, 0.053925f, 0.069110f,
0.845246f, 1.058768f, 0.485224f, 0.886728f, 0.769988f, 1.170633f, 0.730911f, 0.691241f, 0.573267f, 0.810543f, 0.478904f, 0.629150f, 1.393519f, 1.882007f, 1.616261f, 1.275036f,
0.529473f, 0.664187f, 0.377275f, 0.581493f, 0.519190f, 0.790481f, 0.611732f, 0.487938f, 0.705887f, 0.999501f, 0.731951f, 0.811009f, 0.709682f, 0.959845f, 1.021687f, 0.679778f,
2.480488f, 2.675926f, 1.435063f, 2.337585f, 1.599884f, 2.094809f, 1.530535f, 1.290199f, 1.594530f, 1.941649f, 1.342452f, 1.571999f, 3.122639f, 3.632029f, 3.650020f, 2.566577f,
0.344638f, 0.422943f, 0.211095f, 0.423992f, 0.509371f, 0.758703f, 0.515904f, 0.536249f, 0.506656f, 0.701830f, 0.451605f, 0.652073f, 0.609120f, 0.805956f, 0.753799f, 0.653580f,
0.000004f, 0.000005f, 0.000008f, 0.000022f, 0.000003f, 0.000004f, 0.000009f, 0.000013f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000003f, 0.000011f, 0.000013f,
0.000003f, 0.000004f, 0.000008f, 0.000020f, 0.000002f, 0.000004f, 0.000010f, 0.000013f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000002f, 0.000009f, 0.000009f,
0.000022f, 0.000023f, 0.000046f, 0.000113f, 0.000011f, 0.000014f, 0.000038f, 0.000048f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000011f, 0.000012f, 0.000046f, 0.000049f,
0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f,
0.441540f, 0.580346f, 0.242142f, 0.576465f, 0.392887f, 0.626763f, 0.356277f, 0.438944f, 0.287594f, 0.426675f, 0.229515f, 0.392801f, 0.643154f, 0.911428f, 0.712614f, 0.732353f,
0.289517f, 0.381084f, 0.197074f, 0.395705f, 0.277302f, 0.443015f, 0.312126f, 0.324331f, 0.370682f, 0.550742f, 0.367189f, 0.530015f, 0.342855f, 0.486571f, 0.471526f, 0.408705f,
1.929791f, 2.184471f, 1.066560f, 2.263273f, 1.215789f, 1.670371f, 1.111102f, 1.220176f, 1.191355f, 1.522222f, 0.958182f, 1.461696f, 2.146398f, 2.619611f, 2.396761f, 2.195528f,
0.175285f, 0.225716f, 0.102565f, 0.268371f, 0.253054f, 0.395503f, 0.244844f, 0.331544f, 0.247474f, 0.359707f, 0.210726f, 0.396378f, 0.273716f, 0.380021f, 0.323589f, 0.365504f,
0.019208f, 0.024062f, 0.010894f, 0.022668f, 0.014719f, 0.022378f, 0.013803f, 0.014864f, 0.014026f, 0.019833f, 0.011577f, 0.017316f, 0.037260f, 0.050324f, 0.042695f, 0.038350f,
0.016945f, 0.021258f, 0.011929f, 0.020935f, 0.013977f, 0.021281f, 0.016270f, 0.014776f, 0.024323f, 0.034443f, 0.024918f, 0.031436f, 0.026723f, 0.036145f, 0.038009f, 0.028794f,
0.137628f, 0.148482f, 0.078666f, 0.145900f, 0.074667f, 0.097772f, 0.070571f, 0.067735f, 0.095254f, 0.115998f, 0.079231f, 0.105638f, 0.203849f, 0.237119f, 0.235411f, 0.188478f,
0.013467f, 0.016528f, 0.008149f, 0.018637f, 0.016742f, 0.024939f, 0.016753f, 0.019827f, 0.021315f, 0.029529f, 0.018771f, 0.030860f, 0.028004f, 0.037056f, 0.034239f, 0.033802f,
0.439889f, 0.569215f, 0.299447f, 0.421534f, 0.359023f, 0.563863f, 0.404129f, 0.294408f, 0.314317f, 0.459095f, 0.311371f, 0.315099f, 0.669467f, 0.934012f, 0.920758f, 0.559527f,
0.185830f, 0.240811f, 0.157017f, 0.186422f, 0.163258f, 0.256777f, 0.228102f, 0.140151f, 0.261010f, 0.381786f, 0.320939f, 0.273924f, 0.229928f, 0.321250f, 0.392521f, 0.201176f,
1.378923f, 1.536710f, 0.946001f, 1.187005f, 0.796836f, 1.077804f, 0.903945f, 0.586975f, 0.933870f, 1.174734f, 0.932331f, 0.840985f, 1.602435f, 1.925409f, 2.221119f, 1.203082f,
0.196878f, 0.249591f, 0.142997f, 0.221244f, 0.260703f, 0.401141f, 0.313111f, 0.250703f, 0.304928f, 0.436346f, 0.322300f, 0.358478f, 0.321212f, 0.439051f, 0.471370f, 0.314825f,
0.000025f, 0.000032f, 0.000061f, 0.000131f, 0.000016f, 0.000024f, 0.000064f, 0.000070f, 0.000000f, 0.000001f, 0.000001f, 0.000002f, 0.000015f, 0.000020f, 0.000074f, 0.000068f,
0.000014f, 0.000018f, 0.000043f, 0.000077f, 0.000010f, 0.000015f, 0.000048f, 0.000044f, 0.000000f, 0.000001f, 0.000002f, 0.000002f, 0.000007f, 0.000009f, 0.000042f, 0.000033f,
0.000152f, 0.000164f, 0.000372f, 0.000706f, 0.000067f, 0.000089f, 0.000274f, 0.000269f, 0.000002f, 0.000003f, 0.000008f, 0.000011f, 0.000069f, 0.000081f, 0.000344f, 0.000281f,
0.000001f, 0.000001f, 0.000003f, 0.000006f, 0.000001f, 0.000002f, 0.000005f, 0.000006f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000004f, 0.000004f,
0.425449f, 0.577669f, 0.276672f, 0.507379f, 0.339174f, 0.558950f, 0.364721f, 0.346135f, 0.291949f, 0.447446f, 0.276285f, 0.364236f, 0.572068f, 0.837472f, 0.751632f, 0.595026f,
0.188132f, 0.255814f, 0.151858f, 0.234878f, 0.161443f, 0.266440f, 0.215484f, 0.172479f, 0.253771f, 0.389496f, 0.298090f, 0.331444f, 0.205662f, 0.301513f, 0.335404f, 0.223942f,
1.986234f, 2.322637f, 1.301736f, 2.127841f, 1.121130f, 1.591204f, 1.214981f, 1.027785f, 1.291850f, 1.705156f, 1.232074f, 1.447805f, 2.039324f, 2.571151f, 2.700340f, 1.905447f,
0.185394f, 0.246620f, 0.128638f, 0.259279f, 0.239795f, 0.387161f, 0.275128f, 0.286980f, 0.275760f, 0.414061f, 0.278443f, 0.403453f, 0.267243f, 0.383291f, 0.374643f, 0.325972f,
0.004930f, 0.005477f, 0.002425f, 0.006531f, 0.004481f, 0.006043f, 0.003645f, 0.005080f, 0.003602f, 0.004518f, 0.002579f, 0.004992f, 0.009529f, 0.011416f, 0.009473f, 0.011011f,
0.004830f, 0.005374f, 0.002950f, 0.006698f, 0.004725f, 0.006382f, 0.004772f, 0.005608f, 0.006937f, 0.008713f, 0.006165f, 0.010065f, 0.007590f, 0.009106f, 0.009365f, 0.009181f,
0.023858f, 0.022830f, 0.011830f, 0.028393f, 0.015354f, 0.017832f, 0.012589f, 0.015636f, 0.016524f, 0.017848f, 0.011923f, 0.020572f, 0.035215f, 0.036332f, 0.035279f, 0.036551f,
0.002212f, 0.002408f, 0.001161f, 0.003436f, 0.003262f, 0.004309f, 0.002831f, 0.004336f, 0.003503f, 0.004304f, 0.002676f, 0.005694f, 0.004583f, 0.005379f, 0.004861f, 0.006210f,
0.164161f, 0.188414f, 0.096944f, 0.176597f, 0.158929f, 0.221392f, 0.155193f, 0.146303f, 0.117379f, 0.152066f, 0.100872f, 0.132097f, 0.248967f, 0.308086f, 0.297050f, 0.233591f,
0.077016f, 0.088522f, 0.056453f, 0.086734f, 0.080259f, 0.111965f, 0.097279f, 0.077346f, 0.108247f, 0.140439f, 0.115466f, 0.127530f, 0.094960f, 0.117680f, 0.140633f, 0.093272f,
0.347589f, 0.343578f, 0.206866f, 0.335893f, 0.238258f, 0.285842f, 0.234473f, 0.197025f, 0.235562f, 0.262825f, 0.204015f, 0.238139f, 0.402523f, 0.428984f, 0.484009f, 0.339256f,
0.047018f, 0.052870f, 0.029626f, 0.059315f, 0.073853f, 0.100792f, 0.076947f, 0.079727f, 0.072872f, 0.092492f, 0.066818f, 0.096172f, 0.076444f, 0.092678f, 0.097317f, 0.084110f,
0.000000f, 0.000001f, 0.000001f, 0.000003f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f,
0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f,
0.000002f, 0.000002f, 0.000004f, 0.000010f, 0.000001f, 0.000001f, 0.000003f, 0.000004f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000004f, 0.000004f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
0.068159f, 0.082084f, 0.038451f, 0.091249f, 0.064454f, 0.094212f, 0.060126f, 0.073841f, 0.046803f, 0.063623f, 0.038423f, 0.065550f, 0.091328f, 0.118587f, 0.104096f, 0.106639f,
0.033472f, 0.040369f, 0.023438f, 0.046911f, 0.034071f, 0.049874f, 0.039450f, 0.040863f, 0.045180f, 0.061506f, 0.046039f, 0.066243f, 0.036463f, 0.047414f, 0.051587f, 0.044571f,
0.214933f, 0.222926f, 0.122199f, 0.258484f, 0.143906f, 0.181158f, 0.135290f, 0.148098f, 0.139887f, 0.163771f, 0.115737f, 0.175994f, 0.219909f, 0.245919f, 0.252607f, 0.230662f,
0.019007f, 0.022426f, 0.011441f, 0.029841f, 0.029162f, 0.041761f, 0.029025f, 0.039178f, 0.028291f, 0.037677f, 0.024781f, 0.046465f, 0.027303f, 0.034733f, 0.033204f, 0.037386f,
0.022710f, 0.028287f, 0.010148f, 0.033733f, 0.015326f, 0.023169f, 0.011325f, 0.019480f, 0.020172f, 0.028361f, 0.013118f, 0.031346f, 0.048390f, 0.064985f, 0.043689f, 0.062689f,
0.018143f, 0.022631f, 0.010063f, 0.028212f, 0.013179f, 0.019953f, 0.012088f, 0.017537f, 0.031678f, 0.044603f, 0.025570f, 0.051533f, 0.031429f, 0.042269f, 0.035222f, 0.042625f,
0.151193f, 0.162189f, 0.068091f, 0.201740f, 0.072241f, 0.094057f, 0.053798f, 0.082486f, 0.127289f, 0.154129f, 0.083422f, 0.177682f, 0.245993f, 0.284514f, 0.223831f, 0.286277f,
0.014170f, 0.017292f, 0.006756f, 0.024683f, 0.015515f, 0.022979f, 0.012232f, 0.023126f, 0.027283f, 0.037580f, 0.018930f, 0.049717f, 0.032368f, 0.042587f, 0.031181f, 0.049175f,
0.387044f, 0.497985f, 0.207595f, 0.466834f, 0.278207f, 0.434453f, 0.246743f, 0.287149f, 0.336411f, 0.488571f, 0.262579f, 0.424485f, 0.647045f, 0.897597f, 0.701182f, 0.680674f,
0.148070f, 0.190789f, 0.098578f, 0.186966f, 0.114566f, 0.179168f, 0.126122f, 0.123791f, 0.252986f, 0.367945f, 0.245098f, 0.334181f, 0.201249f, 0.279582f, 0.270698f, 0.221631f,
1.127349f, 1.249205f, 0.609382f, 1.221471f, 0.573742f, 0.771633f, 0.512824f, 0.531960f, 0.928732f, 1.161627f, 0.730556f, 1.052700f, 1.439090f, 1.719308f, 1.571660f, 1.359925f,
0.154169f, 0.194336f, 0.088228f, 0.218065f, 0.179794f, 0.275074f, 0.170140f, 0.217621f, 0.290458f, 0.413276f, 0.241895f, 0.429794f, 0.276300f, 0.375516f, 0.319471f, 0.340856f,
0.000007f, 0.000009f, 0.000013f, 0.000046f, 0.000004f, 0.000006f, 0.000012f, 0.000022f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000005f, 0.000006f, 0.000018f, 0.000026f,
0.000004f, 0.000004f, 0.000008f, 0.000024f, 0.000002f, 0.000003f, 0.000008f, 0.000012f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000003f, 0.000009f, 0.000011f,
0.000039f, 0.000042f, 0.000076f, 0.000229f, 0.000015f, 0.000020f, 0.000049f, 0.000077f, 0.000001f, 0.000001f, 0.000002f, 0.000004f, 0.000020f, 0.000023f, 0.000077f, 0.000100f,
0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f,
0.310022f, 0.418551f, 0.158851f, 0.465362f, 0.217669f, 0.356674f, 0.184423f, 0.279597f, 0.258785f, 0.394362f, 0.192961f, 0.406375f, 0.457913f, 0.666544f, 0.474045f, 0.599492f,
0.124150f, 0.167853f, 0.078958f, 0.195091f, 0.093828f, 0.153969f, 0.098675f, 0.126171f, 0.203709f, 0.310881f, 0.188536f, 0.334881f, 0.149082f, 0.217321f, 0.191566f, 0.204324f,
1.344863f, 1.563696f, 0.694464f, 1.813422f, 0.668547f, 0.943464f, 0.570855f, 0.771420f, 1.064009f, 1.396434f, 0.799557f, 1.500913f, 1.516780f, 1.901461f, 1.582466f, 1.783799f,
0.120233f, 0.159031f, 0.065732f, 0.211646f, 0.136962f, 0.219874f, 0.123815f, 0.206311f, 0.217544f, 0.324790f, 0.173074f, 0.400609f, 0.190382f, 0.271501f, 0.210289f, 0.292288f,
0.041624f, 0.050475f, 0.019908f, 0.053776f, 0.044059f, 0.064847f, 0.034845f, 0.048710f, 0.035672f, 0.048827f, 0.024828f, 0.048212f, 0.097631f, 0.127647f, 0.094344f, 0.110010f,
0.046012f, 0.055876f, 0.027315f, 0.062231f, 0.052425f, 0.077271f, 0.051463f, 0.060675f, 0.077511f, 0.106249f, 0.066963f, 0.109670f, 0.087740f, 0.114881f, 0.105239f, 0.103499f,
0.209913f, 0.219226f, 0.101181f, 0.243616f, 0.157318f, 0.199411f, 0.125389f, 0.156236f, 0.170505f, 0.200998f, 0.119600f, 0.207011f, 0.375953f, 0.423327f, 0.366129f, 0.380542f,
0.021525f, 0.025573f, 0.010985f, 0.032612f, 0.036966f, 0.053303f, 0.031193f, 0.047926f, 0.039985f, 0.053620f, 0.029694f, 0.063374f, 0.054124f, 0.069329f, 0.055805f, 0.071519f,
0.737929f, 0.924342f, 0.423617f, 0.774144f, 0.831970f, 1.264867f, 0.789747f, 0.746884f, 0.618818f, 0.874947f, 0.516956f, 0.679140f, 1.357974f, 1.834002f, 1.575035f, 1.242513f,
0.390616f, 0.490001f, 0.278333f, 0.428994f, 0.474050f, 0.721755f, 0.558547f, 0.445516f, 0.643896f, 0.911724f, 0.667670f, 0.739785f, 0.584410f, 0.790414f, 0.841340f, 0.559784f,
1.628124f, 1.756404f, 0.941936f, 1.534326f, 1.299664f, 1.701715f, 1.243329f, 1.048092f, 1.294067f, 1.575777f, 1.089489f, 1.275782f, 2.287805f, 2.661011f, 2.674192f, 1.880406f,
0.243606f, 0.298955f, 0.149211f, 0.299696f, 0.445605f, 0.663724f, 0.451321f, 0.469118f, 0.442803f, 0.613380f, 0.394690f, 0.569893f, 0.480588f, 0.635890f, 0.594739f, 0.515667f,
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0.474865f, 0.614474f, 0.323257f, 0.455051f, 0.479669f, 0.753344f, 0.539932f, 0.393341f, 0.419536f, 0.612778f, 0.415603f, 0.420580f, 0.806683f, 1.125451f, 1.109480f, 0.674209f,
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0.172074f, 0.218147f, 0.124982f, 0.193371f, 0.282005f, 0.433919f, 0.338695f, 0.271188f, 0.329526f, 0.471546f, 0.348300f, 0.387396f, 0.313370f, 0.428333f, 0.459863f, 0.307139f,
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0.640649f, 0.869866f, 0.416618f, 0.764022f, 0.632103f, 1.041690f, 0.679715f, 0.645077f, 0.543569f, 0.833081f, 0.514404f, 0.678156f, 0.961542f, 1.407637f, 1.263356f, 1.000129f,
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2.248652f, 2.629500f, 1.473720f, 2.408968f, 1.570869f, 2.229512f, 1.702369f, 1.440080f, 1.808331f, 2.386875f, 1.724657f, 2.026636f, 2.577063f, 3.249126f, 3.412380f, 2.407886f,
0.226027f, 0.300672f, 0.156832f, 0.316106f, 0.361825f, 0.584184f, 0.415137f, 0.433020f, 0.415691f, 0.624171f, 0.419735f, 0.608180f, 0.363679f, 0.521604f, 0.509835f, 0.443601f,
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0.018116f, 0.019721f, 0.009510f, 0.028145f, 0.033064f, 0.043685f, 0.028702f, 0.043957f, 0.035478f, 0.043593f, 0.027103f, 0.057662f, 0.041904f, 0.049181f, 0.044445f, 0.056779f,
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0.501966f, 0.576958f, 0.367942f, 0.565302f, 0.647410f, 0.903167f, 0.784702f, 0.623912f, 0.872337f, 1.131761f, 0.930509f, 1.027731f, 0.690847f, 0.856135f, 1.023118f, 0.678563f,
2.015591f, 1.992334f, 1.199571f, 1.947770f, 1.709922f, 2.051422f, 1.682756f, 1.414000f, 1.688946f, 1.884415f, 1.462755f, 1.707420f, 2.605397f, 2.776670f, 3.132833f, 2.195894f,
0.293614f, 0.330155f, 0.185003f, 0.370404f, 0.570782f, 0.778987f, 0.594696f, 0.616179f, 0.562657f, 0.714144f, 0.515917f, 0.742561f, 0.532847f, 0.646002f, 0.678337f, 0.586278f,
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0.304309f, 0.367015f, 0.213089f, 0.426498f, 0.383369f, 0.561182f, 0.443898f, 0.459787f, 0.507879f, 0.691400f, 0.517532f, 0.744649f, 0.370031f, 0.481168f, 0.523507f, 0.452316f,
1.738541f, 1.803199f, 0.988438f, 2.090819f, 1.440640f, 1.813564f, 1.354381f, 1.482602f, 1.399051f, 1.637923f, 1.157525f, 1.760169f, 1.985508f, 2.220348f, 2.280741f, 2.082598f,
0.165565f, 0.195348f, 0.099658f, 0.259934f, 0.314382f, 0.450212f, 0.312913f, 0.422368f, 0.304699f, 0.405800f, 0.266899f, 0.500443f, 0.265466f, 0.337707f, 0.322844f, 0.363502f,
0.039616f, 0.049345f, 0.017703f, 0.058845f, 0.033087f, 0.050021f, 0.024449f, 0.042057f, 0.043509f, 0.061172f, 0.028294f, 0.067610f, 0.094222f, 0.126536f, 0.085070f, 0.122065f,
0.026744f, 0.033361f, 0.014835f, 0.041588f, 0.024044f, 0.036402f, 0.022053f, 0.031995f, 0.057739f, 0.081296f, 0.046605f, 0.093926f, 0.051714f, 0.069550f, 0.057955f, 0.070136f,
0.198291f, 0.212713f, 0.089302f, 0.264585f, 0.117260f, 0.152671f, 0.087323f, 0.133890f, 0.206414f, 0.249937f, 0.135278f, 0.288130f, 0.360116f, 0.416508f, 0.327673f, 0.419089f,
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1.127243f, 1.249088f, 0.609325f, 1.221357f, 0.710016f, 0.954909f, 0.634629f, 0.658310f, 1.148216f, 1.436150f, 0.903206f, 1.301481f, 1.606180f, 1.918934f, 1.754143f, 1.517823f,
0.166008f, 0.209260f, 0.095004f, 0.234811f, 0.239607f, 0.366585f, 0.226742f, 0.290019f, 0.386714f, 0.550233f, 0.322057f, 0.572225f, 0.332094f, 0.451344f, 0.383982f, 0.409686f,
0.000067f, 0.000084f, 0.000129f, 0.000437f, 0.000046f, 0.000070f, 0.000146f, 0.000256f, 0.000002f, 0.000002f, 0.000004f, 0.000011f, 0.000049f, 0.000066f, 0.000191f, 0.000280f,
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0.180594f, 0.238869f, 0.098732f, 0.317899f, 0.254607f, 0.408738f, 0.230167f, 0.383524f, 0.404017f, 0.603192f, 0.321428f, 0.744000f, 0.319191f, 0.455194f, 0.352567f, 0.490046f,
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0.047801f, 0.055897f, 0.031328f, 0.051209f, 0.030937f, 0.043909f, 0.033527f, 0.028361f, 0.034258f, 0.045219f, 0.032673f, 0.038394f, 0.088128f, 0.111110f, 0.116693f, 0.082342f,
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0.000472f, 0.000525f, 0.000232f, 0.000625f, 0.000492f, 0.000664f, 0.000400f, 0.000558f, 0.000380f, 0.000477f, 0.000272f, 0.000527f, 0.001639f, 0.001963f, 0.001629f, 0.001893f,
0.000478f, 0.000532f, 0.000292f, 0.000663f, 0.000536f, 0.000724f, 0.000541f, 0.000636f, 0.000756f, 0.000950f, 0.000672f, 0.001097f, 0.001348f, 0.001617f, 0.001663f, 0.001631f,
0.002075f, 0.001986f, 0.001029f, 0.002470f, 0.001531f, 0.001779f, 0.001256f, 0.001560f, 0.001584f, 0.001711f, 0.001143f, 0.001972f, 0.005500f, 0.005675f, 0.005510f, 0.005709f,
0.000248f, 0.000270f, 0.000130f, 0.000385f, 0.000419f, 0.000554f, 0.000364f, 0.000557f, 0.000433f, 0.000532f, 0.000331f, 0.000703f, 0.000923f, 0.001083f, 0.000979f, 0.001250f,
0.019160f, 0.021991f, 0.011315f, 0.020612f, 0.021269f, 0.029628f, 0.020769f, 0.019579f, 0.015096f, 0.019557f, 0.012973f, 0.016989f, 0.052178f, 0.064568f, 0.062256f, 0.048956f,
0.009284f, 0.010671f, 0.006805f, 0.010455f, 0.011093f, 0.015476f, 0.013446f, 0.010691f, 0.014379f, 0.018655f, 0.015338f, 0.016940f, 0.020555f, 0.025473f, 0.030441f, 0.020189f,
0.036850f, 0.036424f, 0.021931f, 0.035610f, 0.028962f, 0.034746f, 0.028502f, 0.023950f, 0.027518f, 0.030703f, 0.023833f, 0.027819f, 0.076626f, 0.081663f, 0.092138f, 0.064582f,
0.006424f, 0.007224f, 0.004048f, 0.008104f, 0.011570f, 0.015791f, 0.012055f, 0.012490f, 0.010971f, 0.013925f, 0.010060f, 0.014479f, 0.018755f, 0.022738f, 0.023876f, 0.020636f,
0.000002f, 0.000002f, 0.000003f, 0.000009f, 0.000001f, 0.000002f, 0.000004f, 0.000006f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000002f, 0.000007f, 0.000008f,
0.000001f, 0.000001f, 0.000003f, 0.000006f, 0.000001f, 0.000001f, 0.000004f, 0.000005f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000004f, 0.000004f,
0.000006f, 0.000005f, 0.000012f, 0.000029f, 0.000003f, 0.000004f, 0.000012f, 0.000015f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000005f, 0.000005f, 0.000020f, 0.000021f,
0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
0.009059f, 0.010910f, 0.005111f, 0.012128f, 0.009823f, 0.014358f, 0.009163f, 0.011253f, 0.006855f, 0.009318f, 0.005627f, 0.009600f, 0.021796f, 0.028302f, 0.024844f, 0.025451f,
0.004595f, 0.005542f, 0.003217f, 0.006440f, 0.005363f, 0.007850f, 0.006210f, 0.006432f, 0.006834f, 0.009304f, 0.006964f, 0.010020f, 0.008988f, 0.011687f, 0.012716f, 0.010987f,
0.025948f, 0.026913f, 0.014753f, 0.031206f, 0.019920f, 0.025077f, 0.018728f, 0.020501f, 0.018609f, 0.021786f, 0.015396f, 0.023412f, 0.047672f, 0.053310f, 0.054760f, 0.050003f,
0.002957f, 0.003489f, 0.001780f, 0.004643f, 0.005203f, 0.007450f, 0.005178f, 0.006990f, 0.004850f, 0.006460f, 0.004249f, 0.007966f, 0.007628f, 0.009704f, 0.009277f, 0.010445f,
0.000348f, 0.000434f, 0.000156f, 0.000517f, 0.000270f, 0.000408f, 0.000199f, 0.000343f, 0.000341f, 0.000479f, 0.000222f, 0.000530f, 0.001333f, 0.001790f, 0.001203f, 0.001727f,
0.000287f, 0.000359f, 0.000159f, 0.000447f, 0.000239f, 0.000362f, 0.000220f, 0.000319f, 0.000553f, 0.000779f, 0.000446f, 0.000900f, 0.000894f, 0.001203f, 0.001002f, 0.001213f,
0.002107f, 0.002260f, 0.000949f, 0.002811f, 0.001154f, 0.001503f, 0.000859f, 0.001318f, 0.001954f, 0.002366f, 0.001281f, 0.002728f, 0.006155f, 0.007118f, 0.005600f, 0.007163f,
0.000254f, 0.000311f, 0.000121f, 0.000443f, 0.000319f, 0.000473f, 0.000252f, 0.000476f, 0.000540f, 0.000744f, 0.000375f, 0.000984f, 0.001044f, 0.001373f, 0.001005f, 0.001586f,
0.007236f, 0.009310f, 0.003881f, 0.008728f, 0.005964f, 0.009313f, 0.005289f, 0.006156f, 0.006931f, 0.010065f, 0.005409f, 0.008745f, 0.021722f, 0.030133f, 0.023539f, 0.022851f,
0.002859f, 0.003684f, 0.001904f, 0.003610f, 0.002537f, 0.003967f, 0.002792f, 0.002741f, 0.005383f, 0.007829f, 0.005215f, 0.007111f, 0.006978f, 0.009694f, 0.009386f, 0.007685f,
0.019144f, 0.021214f, 0.010348f, 0.020743f, 0.011172f, 0.015025f, 0.009986f, 0.010358f, 0.017379f, 0.021737f, 0.013671f, 0.019699f, 0.043882f, 0.052427f, 0.047925f, 0.041468f,
0.003374f, 0.004253f, 0.001931f, 0.004773f, 0.004512f, 0.006903f, 0.004270f, 0.005461f, 0.007005f, 0.009967f, 0.005834f, 0.010365f, 0.010859f, 0.014758f, 0.012555f, 0.013396f,
0.000004f, 0.000005f, 0.000007f, 0.000024f, 0.000002f, 0.000004f, 0.000007f, 0.000013f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000004f, 0.000006f, 0.000017f, 0.000025f,
0.000002f, 0.000002f, 0.000005f, 0.000013f, 0.000001f, 0.000002f, 0.000005f, 0.000008f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000003f, 0.000009f, 0.000011f,
0.000019f, 0.000020f, 0.000036f, 0.000110f, 0.000008f, 0.000011f, 0.000027f, 0.000042f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000017f, 0.000020f, 0.000066f, 0.000087f,
0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f,
0.006600f, 0.008911f, 0.003382f, 0.009908f, 0.005314f, 0.008707f, 0.004502f, 0.006825f, 0.006071f, 0.009252f, 0.004527f, 0.009533f, 0.017506f, 0.025482f, 0.018122f, 0.022918f,
0.002730f, 0.003691f, 0.001736f, 0.004290f, 0.002366f, 0.003882f, 0.002488f, 0.003181f, 0.004936f, 0.007533f, 0.004568f, 0.008114f, 0.005886f, 0.008581f, 0.007564f, 0.008068f,
0.026007f, 0.030239f, 0.013430f, 0.035068f, 0.014824f, 0.020920f, 0.012658f, 0.017105f, 0.022673f, 0.029757f, 0.017038f, 0.031983f, 0.052669f, 0.066027f, 0.054950f, 0.061941f,
0.002997f, 0.003964f, 0.001638f, 0.005275f, 0.003914f, 0.006283f, 0.003538f, 0.005896f, 0.005974f, 0.008920f, 0.004753f, 0.011002f, 0.008520f, 0.012151f, 0.009411f, 0.013081f,
0.048876f, 0.059269f, 0.023377f, 0.063145f, 0.038519f, 0.056692f, 0.030464f, 0.042585f, 0.032304f, 0.044217f, 0.022484f, 0.043660f, 0.111628f, 0.145947f, 0.107869f, 0.125782f,
0.079289f, 0.096289f, 0.047071f, 0.107239f, 0.067262f, 0.099141f, 0.066029f, 0.077848f, 0.103012f, 0.141205f, 0.088994f, 0.145752f, 0.147225f, 0.192767f, 0.176588f, 0.173668f,
0.295126f, 0.308219f, 0.142255f, 0.342511f, 0.164678f, 0.208740f, 0.131255f, 0.163546f, 0.184877f, 0.217940f, 0.129681f, 0.224460f, 0.514680f, 0.579535f, 0.501230f, 0.520962f,
0.026937f, 0.032002f, 0.013746f, 0.040811f, 0.034443f, 0.049665f, 0.029064f, 0.044654f, 0.038590f, 0.051750f, 0.028658f, 0.061164f, 0.065953f, 0.084481f, 0.068001f, 0.087150f,
0.828230f, 1.037454f, 0.475456f, 0.868877f, 0.695237f, 1.056988f, 0.659953f, 0.624135f, 0.535644f, 0.757347f, 0.447474f, 0.587859f, 1.484100f, 2.004341f, 1.721321f, 1.357916f,
0.643406f, 0.807109f, 0.458458f, 0.706620f, 0.581365f, 0.885145f, 0.684990f, 0.546371f, 0.817952f, 1.158179f, 0.848154f, 0.939762f, 0.937321f, 1.267726f, 1.349405f, 0.897824f,
2.187975f, 2.360366f, 1.265832f, 2.061925f, 1.300394f, 1.702671f, 1.244027f, 1.048680f, 1.341185f, 1.633153f, 1.129158f, 1.322235f, 2.993709f, 3.482067f, 3.499315f, 2.460606f,
0.291395f, 0.357602f, 0.178482f, 0.358488f, 0.396857f, 0.591113f, 0.401946f, 0.417797f, 0.408490f, 0.565850f, 0.364106f, 0.525733f, 0.559761f, 0.740648f, 0.692717f, 0.600619f,
0.000058f, 0.000070f, 0.000119f, 0.000328f, 0.000037f, 0.000055f, 0.000127f, 0.000181f, 0.000001f, 0.000001f, 0.000002f, 0.000005f, 0.000041f, 0.000054f, 0.000169f, 0.000202f,
0.000060f, 0.000073f, 0.000152f, 0.000355f, 0.000042f, 0.000061f, 0.000175f, 0.000211f, 0.000002f, 0.000002f, 0.000006f, 0.000010f, 0.000034f, 0.000045f, 0.000176f, 0.000177f,
0.000293f, 0.000307f, 0.000606f, 0.001493f, 0.000134f, 0.000170f, 0.000458f, 0.000584f, 0.000004f, 0.000005f, 0.000012f, 0.000021f, 0.000158f, 0.000178f, 0.000659f, 0.000701f,
0.000002f, 0.000002f, 0.000004f, 0.000013f, 0.000002f, 0.000003f, 0.000007f, 0.000011f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000006f, 0.000008f,
0.582809f, 0.766025f, 0.319614f, 0.760904f, 0.477865f, 0.762326f, 0.433337f, 0.533883f, 0.361982f, 0.537037f, 0.288881f, 0.494401f, 0.922686f, 1.307559f, 1.022335f, 1.050653f,
0.473920f, 0.623808f, 0.322597f, 0.647742f, 0.418278f, 0.668235f, 0.470805f, 0.489215f, 0.578606f, 0.859666f, 0.573153f, 0.827312f, 0.609991f, 0.865684f, 0.838915f, 0.727147f,
2.293001f, 2.595614f, 1.267299f, 2.689247f, 1.331169f, 1.828891f, 1.216547f, 1.335972f, 1.349851f, 1.724737f, 1.085657f, 1.656158f, 2.771957f, 3.383086f, 3.095287f, 2.835406f,
0.199642f, 0.257081f, 0.116817f, 0.305663f, 0.265583f, 0.415085f, 0.256966f, 0.347959f, 0.268774f, 0.390666f, 0.228862f, 0.430494f, 0.338836f, 0.470432f, 0.400574f, 0.452461f,
0.046959f, 0.058826f, 0.026633f, 0.055417f, 0.033157f, 0.050413f, 0.031096f, 0.033484f, 0.032698f, 0.046235f, 0.026987f, 0.040368f, 0.099004f, 0.133718f, 0.113448f, 0.101901f,
0.051375f, 0.064451f, 0.036167f, 0.063470f, 0.039047f, 0.059454f, 0.045453f, 0.041280f, 0.070319f, 0.099575f, 0.072038f, 0.090883f, 0.088059f, 0.119107f, 0.125248f, 0.094884f,
0.302882f, 0.326769f, 0.173122f, 0.321087f, 0.151418f, 0.198273f, 0.143113f, 0.137361f, 0.199894f, 0.243427f, 0.166269f, 0.221686f, 0.487595f, 0.567175f, 0.563090f, 0.450827f,
0.028408f, 0.034865f, 0.017191f, 0.039315f, 0.032544f, 0.048477f, 0.032565f, 0.038541f, 0.042877f, 0.059398f, 0.037759f, 0.062077f, 0.064208f, 0.084962f, 0.078503f, 0.077500f,
0.783695f, 1.014099f, 0.533488f, 0.750995f, 0.589396f, 0.925676f, 0.663446f, 0.483320f, 0.533978f, 0.779933f, 0.528972f, 0.535306f, 1.296330f, 1.808585f, 1.782921f, 1.083446f,
0.410575f, 0.532053f, 0.346917f, 0.411885f, 0.332380f, 0.522775f, 0.464395f, 0.285335f, 0.549904f, 0.804358f, 0.676163f, 0.577110f, 0.552143f, 0.771443f, 0.942592f, 0.483100f,
2.211472f, 2.464526f, 1.517166f, 1.903680f, 1.177583f, 1.592805f, 1.335871f, 0.867445f, 1.428166f, 1.796519f, 1.425813f, 1.286117f, 2.793216f, 3.356193f, 3.871648f, 2.097100f,
0.302657f, 0.383693f, 0.219827f, 0.340115f, 0.369301f, 0.568241f, 0.443540f, 0.355136f, 0.446994f, 0.639640f, 0.472460f, 0.525493f, 0.536695f, 0.733587f, 0.787587f, 0.526025f,
0.000672f, 0.000845f, 0.001636f, 0.003480f, 0.000388f, 0.000593f, 0.001565f, 0.001723f, 0.000010f, 0.000014f, 0.000036f, 0.000055f, 0.000437f, 0.000592f, 0.002150f, 0.001974f,
0.000467f, 0.000589f, 0.001413f, 0.002536f, 0.000291f, 0.000445f, 0.001455f, 0.001351f, 0.000014f, 0.000020f, 0.000061f, 0.000079f, 0.000247f, 0.000336f, 0.001510f, 0.001170f,
0.003631f, 0.003933f, 0.008914f, 0.016905f, 0.001487f, 0.001955f, 0.006037f, 0.005925f, 0.000052f, 0.000063f, 0.000185f, 0.000253f, 0.001804f, 0.002106f, 0.008946f, 0.007324f,
0.000025f, 0.000030f, 0.000064f, 0.000149f, 0.000023f, 0.000034f, 0.000099f, 0.000120f, 0.000001f, 0.000001f, 0.000003f, 0.000005f, 0.000017f, 0.000023f, 0.000090f, 0.000091f,
1.021033f, 1.386346f, 0.663984f, 1.217659f, 0.750060f, 1.236081f, 0.806557f, 0.765455f, 0.668115f, 1.023962f, 0.632268f, 0.833539f, 1.492187f, 2.184467f, 1.960562f, 1.552069f,
0.559925f, 0.761361f, 0.451963f, 0.699052f, 0.442759f, 0.730714f, 0.590965f, 0.473026f, 0.720209f, 1.105403f, 0.845988f, 0.940648f, 0.665279f, 0.975338f, 1.084968f, 0.724411f,
4.291018f, 5.017776f, 2.812244f, 4.596942f, 2.231860f, 3.167647f, 2.418692f, 2.046037f, 2.661295f, 3.512731f, 2.538153f, 2.982572f, 4.788490f, 6.037263f, 6.340607f, 4.474138f,
0.383918f, 0.510705f, 0.266385f, 0.536921f, 0.457578f, 0.738781f, 0.524998f, 0.547614f, 0.544534f, 0.817632f, 0.549831f, 0.796684f, 0.601493f, 0.862688f, 0.843224f, 0.733677f,
0.062173f, 0.069081f, 0.030590f, 0.082367f, 0.052073f, 0.070224f, 0.042365f, 0.059033f, 0.043321f, 0.054332f, 0.031018f, 0.060040f, 0.130622f, 0.156482f, 0.129847f, 0.150927f,
0.075539f, 0.084053f, 0.046132f, 0.104764f, 0.068102f, 0.091973f, 0.068772f, 0.080824f, 0.103463f, 0.129949f, 0.091950f, 0.150113f, 0.129025f, 0.154793f, 0.159201f, 0.156070f,
0.270865f, 0.259196f, 0.134308f, 0.322348f, 0.160624f, 0.186554f, 0.131699f, 0.163576f, 0.178885f, 0.193218f, 0.129079f, 0.222707f, 0.434533f, 0.448320f, 0.435324f, 0.451021f,
0.024070f, 0.026201f, 0.012636f, 0.037394f, 0.032707f, 0.043214f, 0.028392f, 0.043483f, 0.036353f, 0.044668f, 0.027772f, 0.059084f, 0.054212f, 0.063627f, 0.057499f, 0.073457f,
1.508767f, 1.731662f, 0.890987f, 1.623061f, 1.345969f, 1.874971f, 1.314331f, 1.239040f, 1.028707f, 1.332703f, 0.884042f, 1.157693f, 2.486993f, 3.077555f, 2.967311f, 2.333399f,
0.877823f, 1.008965f, 0.643444f, 0.988582f, 0.842948f, 1.175951f, 1.021706f, 0.812352f, 1.176504f, 1.526385f, 1.254960f, 1.386081f, 1.176385f, 1.457839f, 1.742182f, 1.155467f,
2.875770f, 2.842588f, 1.711504f, 2.779006f, 1.816423f, 2.179193f, 1.787565f, 1.502070f, 1.858423f, 2.073507f, 1.609535f, 1.878751f, 3.619605f, 3.857550f, 4.352357f, 3.050694f,
0.372879f, 0.419284f, 0.234948f, 0.470399f, 0.539697f, 0.736563f, 0.562308f, 0.582622f, 0.551077f, 0.699446f, 0.505298f, 0.727278f, 0.658914f, 0.798841f, 0.838826f, 0.724987f,
0.000062f, 0.000070f, 0.000132f, 0.000364f, 0.000043f, 0.000058f, 0.000150f, 0.000213f, 0.000001f, 0.000001f, 0.000003f, 0.000006f, 0.000041f, 0.000049f, 0.000173f, 0.000206f,
0.000048f, 0.000054f, 0.000127f, 0.000294f, 0.000036f, 0.000048f, 0.000155f, 0.000186f, 0.000001f, 0.000002f, 0.000005f, 0.000009f, 0.000025f, 0.000031f, 0.000135f, 0.000135f,
0.000228f, 0.000219f, 0.000486f, 0.001193f, 0.000111f, 0.000129f, 0.000391f, 0.000496f, 0.000003f, 0.000004f, 0.000010f, 0.000018f, 0.000113f, 0.000117f, 0.000486f, 0.000515f,
0.000001f, 0.000002f, 0.000003f, 0.000010f, 0.000002f, 0.000002f, 0.000006f, 0.000009f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000005f, 0.000006f,
0.843841f, 1.016250f, 0.476048f, 1.129716f, 0.735309f, 1.074802f, 0.685931f, 0.842396f, 0.552542f, 0.751114f, 0.453615f, 0.773861f, 1.228933f, 1.595726f, 1.400740f, 1.434957f,
0.513913f, 0.619810f, 0.359861f, 0.720264f, 0.482037f, 0.705614f, 0.558144f, 0.578122f, 0.661472f, 0.900495f, 0.674045f, 0.969846f, 0.608482f, 0.791237f, 0.860860f, 0.743793f,
2.395406f, 2.484494f, 1.361895f, 2.880784f, 1.477877f, 1.860442f, 1.389389f, 1.520925f, 1.486637f, 1.740462f, 1.229990f, 1.870362f, 2.663798f, 2.978864f, 3.059888f, 2.794055f,
0.203049f, 0.239575f, 0.122221f, 0.318784f, 0.287065f, 0.411092f, 0.285723f, 0.385668f, 0.288191f, 0.383815f, 0.252440f, 0.473332f, 0.317014f, 0.403282f, 0.385533f, 0.434086f,
0.090902f, 0.113226f, 0.040622f, 0.135024f, 0.056527f, 0.085457f, 0.041770f, 0.071851f, 0.076995f, 0.108252f, 0.050070f, 0.119644f, 0.210520f, 0.282719f, 0.190071f, 0.272730f,
0.090062f, 0.112341f, 0.049955f, 0.140046f, 0.060284f, 0.091269f, 0.055292f, 0.080218f, 0.149950f, 0.211129f, 0.121037f, 0.243932f, 0.169570f, 0.228055f, 0.190032f, 0.229976f,
0.544789f, 0.584411f, 0.245350f, 0.726925f, 0.239862f, 0.312299f, 0.178624f, 0.273880f, 0.437361f, 0.529580f, 0.286636f, 0.610507f, 0.963391f, 1.114253f, 0.876598f, 1.121156f,
0.048942f, 0.059725f, 0.023336f, 0.085253f, 0.049378f, 0.073135f, 0.038931f, 0.073603f, 0.089856f, 0.123772f, 0.062347f, 0.163743f, 0.121510f, 0.159872f, 0.117055f, 0.184603f,
1.128999f, 1.452613f, 0.605550f, 1.361744f, 0.747795f, 1.167771f, 0.663223f, 0.771831f, 0.935740f, 1.358979f, 0.730372f, 1.180719f, 2.051402f, 2.845756f, 2.223038f, 2.158017f,
0.535643f, 0.690177f, 0.356605f, 0.676349f, 0.381897f, 0.597241f, 0.420415f, 0.412647f, 0.872680f, 1.269231f, 0.845471f, 1.152761f, 0.791268f, 1.099256f, 1.064326f, 0.871406f,
2.960255f, 3.280231f, 1.600149f, 3.207407f, 1.388252f, 1.867078f, 1.240853f, 1.287155f, 2.325477f, 2.908630f, 1.829260f, 2.635884f, 4.107156f, 4.906898f, 4.485512f, 3.881220f,
0.388043f, 0.489144f, 0.222071f, 0.548869f, 0.417003f, 0.637991f, 0.394613f, 0.504737f, 0.697136f, 0.991916f, 0.580578f, 1.031561f, 0.755870f, 1.027292f, 0.873972f, 0.932475f,
0.000305f, 0.000382f, 0.000586f, 0.001991f, 0.000156f, 0.000236f, 0.000494f, 0.000868f, 0.000006f, 0.000008f, 0.000016f, 0.000038f, 0.000218f, 0.000294f, 0.000846f, 0.001241f,
0.000192f, 0.000241f, 0.000458f, 0.001314f, 0.000106f, 0.000160f, 0.000416f, 0.000617f, 0.000007f, 0.000010f, 0.000024f, 0.000050f, 0.000112f, 0.000151f, 0.000538f, 0.000666f,
0.001534f, 0.001652f, 0.002967f, 0.008988f, 0.000553f, 0.000723f, 0.001770f, 0.002774f, 0.000027f, 0.000032f, 0.000075f, 0.000163f, 0.000837f, 0.000972f, 0.003271f, 0.004278f,
0.000010f, 0.000012f, 0.000020f, 0.000076f, 0.000008f, 0.000012f, 0.000028f, 0.000054f, 0.000000f, 0.000001f, 0.000001f, 0.000003f, 0.000008f, 0.000010f, 0.000031f, 0.000051f,
1.218191f, 1.644639f, 0.624184f, 1.828578f, 0.788135f, 1.291441f, 0.667758f, 1.012363f, 0.969644f, 1.477639f, 0.723005f, 1.522648f, 1.955634f, 2.846646f, 2.024531f, 2.560282f,
0.604981f, 0.817948f, 0.384764f, 0.950677f, 0.421316f, 0.691371f, 0.443080f, 0.566549f, 0.946577f, 1.444578f, 0.876074f, 1.556098f, 0.789596f, 1.151010f, 1.014605f, 1.082177f,
4.757045f, 5.531101f, 2.456458f, 6.414434f, 2.179078f, 3.075147f, 1.860655f, 2.514384f, 3.588851f, 4.710106f, 2.696868f, 5.062509f, 5.831288f, 7.310202f, 6.083818f, 6.857845f,
0.407660f, 0.539204f, 0.222869f, 0.717599f, 0.427910f, 0.686953f, 0.386835f, 0.644578f, 0.703347f, 1.050089f, 0.559569f, 1.295220f, 0.701583f, 1.000519f, 0.774944f, 1.077124f,
0.075643f, 0.091728f, 0.036179f, 0.097727f, 0.064694f, 0.095218f, 0.051165f, 0.071523f, 0.052429f, 0.071764f, 0.036492f, 0.070861f, 0.158951f, 0.207820f, 0.153599f, 0.179106f,
0.080989f, 0.098353f, 0.048080f, 0.109537f, 0.074559f, 0.109896f, 0.073192f, 0.086293f, 0.110343f, 0.151254f, 0.095328f, 0.156125f, 0.138359f, 0.181159f, 0.165954f, 0.163210f,
0.455765f, 0.475984f, 0.219686f, 0.528941f, 0.275986f, 0.349830f, 0.219972f, 0.274089f, 0.299409f, 0.352954f, 0.210019f, 0.363514f, 0.731287f, 0.823437f, 0.712178f, 0.740213f,
0.039308f, 0.046699f, 0.020059f, 0.059553f, 0.054543f, 0.078649f, 0.046026f, 0.070715f, 0.059055f, 0.079193f, 0.043856f, 0.093600f, 0.088548f, 0.113423f, 0.091297f, 0.117006f,
2.226413f, 2.788840f, 1.278100f, 2.335679f, 2.028182f, 3.083498f, 1.925249f, 1.820758f, 1.510010f, 2.135005f, 1.261453f, 1.657207f, 3.670587f, 4.957286f, 4.257299f, 3.358498f,
1.141498f, 1.431931f, 0.813373f, 1.253649f, 1.119329f, 1.704211f, 1.318843f, 1.051953f, 1.521833f, 2.154839f, 1.578024f, 1.748466f, 1.530015f, 2.069345f, 2.202671f, 1.465543f,
5.868896f, 6.331307f, 3.395395f, 5.530785f, 3.785366f, 4.956370f, 3.621285f, 3.052643f, 3.772697f, 4.593989f, 3.176274f, 3.719389f, 7.388242f, 8.593471f, 8.636039f, 6.072585f,
0.738564f, 0.906372f, 0.452378f, 0.908619f, 1.091589f, 1.625910f, 1.105589f, 1.149188f, 1.085769f, 1.504031f, 0.967795f, 1.397400f, 1.305351f, 1.727173f, 1.615401f, 1.400629f,
0.000043f, 0.000052f, 0.000088f, 0.000243f, 0.000030f, 0.000044f, 0.000102f, 0.000146f, 0.000001f, 0.000001f, 0.000002f, 0.000004f, 0.000028f, 0.000036f, 0.000115f, 0.000137f,
0.000029f, 0.000036f, 0.000074f, 0.000173f, 0.000022f, 0.000033f, 0.000093f, 0.000112f, 0.000001f, 0.000001f, 0.000003f, 0.000005f, 0.000015f, 0.000020f, 0.000079f, 0.000080f,
0.000216f, 0.000227f, 0.000448f, 0.001102f, 0.000107f, 0.000137f, 0.000367f, 0.000468f, 0.000003f, 0.000004f, 0.000009f, 0.000016f, 0.000107f, 0.000121f, 0.000448f, 0.000476f,
0.000001f, 0.000002f, 0.000003f, 0.000009f, 0.000002f, 0.000002f, 0.000006f, 0.000009f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000004f, 0.000005f,
0.970578f, 1.275696f, 0.532268f, 1.267167f, 0.863630f, 1.377728f, 0.783157f, 0.964871f, 0.632179f, 0.937902f, 0.504513f, 0.863441f, 1.413759f, 2.003470f, 1.566444f, 1.609834f,
0.520888f, 0.685630f, 0.354568f, 0.711937f, 0.498911f, 0.797054f, 0.561564f, 0.583523f, 0.666917f, 0.990873f, 0.660631f, 0.953581f, 0.616851f, 0.875419f, 0.848350f, 0.735325f,
3.810373f, 4.313239f, 2.105922f, 4.468833f, 2.400575f, 3.298148f, 2.193871f, 2.409238f, 2.352330f, 3.005628f, 1.891931f, 2.886118f, 4.238063f, 5.172422f, 4.732404f, 4.335070f,
0.313479f, 0.403669f, 0.183427f, 0.479953f, 0.452560f, 0.707313f, 0.437876f, 0.592930f, 0.442581f, 0.643296f, 0.376860f, 0.708879f, 0.489511f, 0.679626f, 0.578704f, 0.653664f,
0.041395f, 0.051856f, 0.023478f, 0.048851f, 0.031719f, 0.048227f, 0.029747f, 0.032032f, 0.030228f, 0.042742f, 0.024948f, 0.037318f, 0.080297f, 0.108452f, 0.092012f, 0.082647f,
0.029889f, 0.037497f, 0.021041f, 0.036926f, 0.024653f, 0.037538f, 0.028698f, 0.026063f, 0.042903f, 0.060753f, 0.043952f, 0.055449f, 0.047136f, 0.063756f, 0.067043f, 0.050790f,
0.266418f, 0.287429f, 0.152280f, 0.282431f, 0.144539f, 0.189266f, 0.136611f, 0.131121f, 0.184391f, 0.224547f, 0.153373f, 0.204492f, 0.394608f, 0.459012f, 0.455706f, 0.364852f,
0.023612f, 0.028979f, 0.014288f, 0.032677f, 0.029354f, 0.043726f, 0.029373f, 0.034763f, 0.037373f, 0.051773f, 0.032912f, 0.054108f, 0.049100f, 0.064972f, 0.060032f, 0.059265f,
1.199936f, 1.552713f, 0.816836f, 1.149867f, 0.979348f, 1.538115f, 1.102389f, 0.803091f, 0.857400f, 1.252326f, 0.849361f, 0.859532f, 1.826181f, 2.547811f, 2.511657f, 1.526285f,
0.414896f, 0.537651f, 0.350567f, 0.416219f, 0.364501f, 0.573297f, 0.509275f, 0.312910f, 0.582749f, 0.852402f, 0.716550f, 0.611581f, 0.513352f, 0.717245f, 0.876370f, 0.449159f,
3.378714f, 3.765333f, 2.317945f, 2.908466f, 1.952453f, 2.640897f, 2.214896f, 1.438239f, 2.288221f, 2.878398f, 2.284451f, 2.060629f, 3.926377f, 4.717746f, 5.442311f, 2.947859f,
0.436931f, 0.553919f, 0.317354f, 0.491009f, 0.578578f, 0.890254f, 0.694887f, 0.556386f, 0.676727f, 0.968384f, 0.715282f, 0.795571f, 0.712866f, 0.974388f, 1.046114f, 0.698693f,
0.000283f, 0.000356f, 0.000689f, 0.001467f, 0.000178f, 0.000271f, 0.000716f, 0.000788f, 0.000004f, 0.000006f, 0.000016f, 0.000024f, 0.000169f, 0.000230f, 0.000834f, 0.000766f,
0.000130f, 0.000164f, 0.000393f, 0.000705f, 0.000088f, 0.000134f, 0.000439f, 0.000408f, 0.000004f, 0.000006f, 0.000018f, 0.000023f, 0.000063f, 0.000086f, 0.000386f, 0.000299f,
0.001527f, 0.001654f, 0.003749f, 0.007109f, 0.000679f, 0.000892f, 0.002755f, 0.002704f, 0.000023f, 0.000028f, 0.000082f, 0.000111f, 0.000698f, 0.000815f, 0.003461f, 0.002834f,
0.000010f, 0.000012f, 0.000025f, 0.000059f, 0.000010f, 0.000015f, 0.000043f, 0.000052f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000006f, 0.000008f, 0.000033f, 0.000033f,
0.968501f, 1.315018f, 0.629822f, 1.155010f, 0.772103f, 1.272407f, 0.830260f, 0.787950f, 0.664600f, 1.018575f, 0.628942f, 0.829154f, 1.302269f, 1.906440f, 1.711032f, 1.354530f,
0.350530f, 0.476635f, 0.282943f, 0.437627f, 0.300803f, 0.496434f, 0.401491f, 0.321365f, 0.472828f, 0.725713f, 0.555404f, 0.617549f, 0.383192f, 0.561782f, 0.624927f, 0.417252f,
4.061437f, 4.749312f, 2.661781f, 4.350994f, 2.292479f, 3.253682f, 2.484385f, 2.101608f, 2.641566f, 3.486690f, 2.519337f, 2.960461f, 4.169995f, 5.257472f, 5.521635f, 3.896246f,
0.343361f, 0.456754f, 0.238244f, 0.480200f, 0.444115f, 0.717045f, 0.509552f, 0.531503f, 0.510724f, 0.766865f, 0.515692f, 0.747218f, 0.494949f, 0.709877f, 0.693861f, 0.603719f,
0.010920f, 0.012134f, 0.005373f, 0.014467f, 0.009926f, 0.013386f, 0.008075f, 0.011252f, 0.007980f, 0.010008f, 0.005713f, 0.011059f, 0.021109f, 0.025288f, 0.020984f, 0.024390f,
0.008757f, 0.009744f, 0.005348f, 0.012145f, 0.008567f, 0.011570f, 0.008652f, 0.010168f, 0.012578f, 0.015798f, 0.011178f, 0.018249f, 0.013761f, 0.016510f, 0.016980f, 0.016646f,
0.047473f, 0.045428f, 0.023539f, 0.056496f, 0.030551f, 0.035483f, 0.025049f, 0.031112f, 0.032879f, 0.035513f, 0.023724f, 0.040933f, 0.070070f, 0.072293f, 0.070198f, 0.072729f,
0.003986f, 0.004339f, 0.002093f, 0.006193f, 0.005878f, 0.007766f, 0.005103f, 0.007815f, 0.006314f, 0.007758f, 0.004823f, 0.010261f, 0.008260f, 0.009695f, 0.008761f, 0.011193f,
0.460295f, 0.528296f, 0.271822f, 0.495163f, 0.445623f, 0.620765f, 0.435149f, 0.410221f, 0.329120f, 0.426380f, 0.282837f, 0.370387f, 0.698081f, 0.863848f, 0.832903f, 0.654968f,
0.176749f, 0.203154f, 0.129557f, 0.199050f, 0.184191f, 0.256955f, 0.223251f, 0.177506f, 0.248423f, 0.322301f, 0.264989f, 0.292676f, 0.217930f, 0.270070f, 0.322745f, 0.214054f,
0.875442f, 0.865340f, 0.521016f, 0.845985f, 0.600080f, 0.719926f, 0.590546f, 0.496229f, 0.593290f, 0.661954f, 0.513834f, 0.599779f, 1.013799f, 1.080444f, 1.219032f, 0.854455f,
0.107259f, 0.120608f, 0.067583f, 0.135311f, 0.168475f, 0.229930f, 0.175533f, 0.181874f, 0.166237f, 0.210993f, 0.152427f, 0.219389f, 0.174386f, 0.211419f, 0.222001f, 0.191873f,
0.000005f, 0.000006f, 0.000011f, 0.000031f, 0.000004f, 0.000005f, 0.000014f, 0.000019f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000003f, 0.000004f, 0.000013f, 0.000016f,
0.000003f, 0.000003f, 0.000007f, 0.000016f, 0.000002f, 0.000003f, 0.000009f, 0.000011f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000002f, 0.000007f, 0.000007f,
0.000019f, 0.000018f, 0.000041f, 0.000100f, 0.000010f, 0.000012f, 0.000036f, 0.000045f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000009f, 0.000009f, 0.000037f, 0.000040f,
0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
0.159487f, 0.192072f, 0.089973f, 0.213517f, 0.150817f, 0.220450f, 0.140690f, 0.172782f, 0.109516f, 0.148874f, 0.089908f, 0.153382f, 0.213702f, 0.277485f, 0.243578f, 0.249528f,
0.064104f, 0.077314f, 0.044888f, 0.089844f, 0.065253f, 0.095518f, 0.075555f, 0.078260f, 0.086529f, 0.117795f, 0.088173f, 0.126867f, 0.069833f, 0.090808f, 0.098798f, 0.085363f,
0.451753f, 0.468555f, 0.256842f, 0.543292f, 0.302468f, 0.380765f, 0.284358f, 0.311279f, 0.294020f, 0.344220f, 0.243261f, 0.369911f, 0.462212f, 0.516881f, 0.530940f, 0.484814f,
0.036184f, 0.042693f, 0.021780f, 0.056808f, 0.055516f, 0.079501f, 0.055256f, 0.074584f, 0.053857f, 0.071728f, 0.047176f, 0.088456f, 0.051977f, 0.066121f, 0.063211f, 0.071172f,
0.032611f, 0.040619f, 0.014573f, 0.048439f, 0.022007f, 0.033270f, 0.016262f, 0.027973f, 0.028967f, 0.040726f, 0.018837f, 0.045012f, 0.069486f, 0.093317f, 0.062737f, 0.090020f,
0.021324f, 0.026599f, 0.011828f, 0.033158f, 0.015490f, 0.023451f, 0.014207f, 0.020612f, 0.037232f, 0.052423f, 0.030053f, 0.060568f, 0.036939f, 0.049680f, 0.041397f, 0.050098f,
0.195018f, 0.209201f, 0.087828f, 0.260217f, 0.093181f, 0.121321f, 0.069391f, 0.106396f, 0.164186f, 0.198805f, 0.107603f, 0.229185f, 0.317297f, 0.366984f, 0.288711f, 0.369258f,
0.016555f, 0.020202f, 0.007893f, 0.028837f, 0.018126f, 0.026846f, 0.014291f, 0.027018f, 0.031874f, 0.043904f, 0.022116f, 0.058083f, 0.037815f, 0.049754f, 0.036429f, 0.057451f,
0.703495f, 0.905143f, 0.377327f, 0.848522f, 0.505672f, 0.789667f, 0.448483f, 0.521926f, 0.611465f, 0.888033f, 0.477266f, 0.771548f, 1.176077f, 1.631483f, 1.274476f, 1.237200f,
0.220282f, 0.283833f, 0.146653f, 0.278147f, 0.170438f, 0.266545f, 0.187629f, 0.184162f, 0.376363f, 0.547385f, 0.364629f, 0.497154f, 0.299394f, 0.415929f, 0.402712f, 0.329717f,
1.840585f, 2.039535f, 0.994918f, 1.994256f, 0.936729f, 1.259819f, 0.837271f, 0.868514f, 1.516310f, 1.896550f, 1.192755f, 1.718708f, 2.349554f, 2.807058f, 2.565998f, 2.220304f,
0.227982f, 0.287380f, 0.130470f, 0.322469f, 0.265875f, 0.406774f, 0.251599f, 0.321813f, 0.429522f, 0.611144f, 0.357708f, 0.635570f, 0.408586f, 0.555304f, 0.472427f, 0.504051f,
0.000052f, 0.000065f, 0.000100f, 0.000342f, 0.000029f, 0.000044f, 0.000092f, 0.000162f, 0.000001f, 0.000001f, 0.000003f, 0.000007f, 0.000034f, 0.000046f, 0.000133f, 0.000196f,
0.000022f, 0.000027f, 0.000052f, 0.000149f, 0.000013f, 0.000020f, 0.000051f, 0.000076f, 0.000001f, 0.000001f, 0.000003f, 0.000006f, 0.000012f, 0.000016f, 0.000056f, 0.000069f,
0.000263f, 0.000283f, 0.000508f, 0.001538f, 0.000103f, 0.000134f, 0.000329f, 0.000515f, 0.000005f, 0.000006f, 0.000013f, 0.000029f, 0.000132f, 0.000153f, 0.000515f, 0.000674f,
0.000002f, 0.000002f, 0.000003f, 0.000012f, 0.000001f, 0.000002f, 0.000005f, 0.000009f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000005f, 0.000008f,
0.470253f, 0.634874f, 0.240951f, 0.705879f, 0.330169f, 0.541016f, 0.279740f, 0.424104f, 0.392535f, 0.598183f, 0.292690f, 0.616404f, 0.694579f, 1.011039f, 0.719050f, 0.909331f,
0.154132f, 0.208390f, 0.098027f, 0.242206f, 0.116487f, 0.191153f, 0.122505f, 0.156642f, 0.252905f, 0.385960f, 0.234068f, 0.415756f, 0.185086f, 0.269804f, 0.237830f, 0.253669f,
1.832371f, 2.130530f, 0.946205f, 2.470782f, 0.910894f, 1.285467f, 0.777787f, 1.051058f, 1.449708f, 1.902637f, 1.089394f, 2.044989f, 2.066608f, 2.590735f, 2.156104f, 2.430420f,
0.148377f, 0.196255f, 0.081118f, 0.261187f, 0.169021f, 0.271341f, 0.152796f, 0.254603f, 0.268465f, 0.400815f, 0.213585f, 0.494381f, 0.234945f, 0.335051f, 0.259512f, 0.360705f,
0.309617f, 0.375455f, 0.148085f, 0.400008f, 0.327728f, 0.482353f, 0.259191f, 0.362322f, 0.265340f, 0.363192f, 0.184680f, 0.358621f, 0.726214f, 0.949485f, 0.701762f, 0.818296f,
0.280126f, 0.340185f, 0.166301f, 0.378870f, 0.319170f, 0.470438f, 0.313317f, 0.369400f, 0.471898f, 0.646861f, 0.407682f, 0.667689f, 0.534174f, 0.699416f, 0.640714f, 0.630119f,
1.402535f, 1.464757f, 0.676043f, 1.627722f, 1.051118f, 1.332362f, 0.837786f, 1.043893f, 1.139232f, 1.342966f, 0.799107f, 1.383146f, 2.511931f, 2.828462f, 2.446291f, 2.542591f,
0.130263f, 0.154759f, 0.066476f, 0.197357f, 0.223707f, 0.322576f, 0.188773f, 0.290033f, 0.241977f, 0.324495f, 0.179699f, 0.383525f, 0.327545f, 0.419560f, 0.337715f, 0.432815f,
6.947791f, 8.702914f, 3.988465f, 7.288769f, 7.833216f, 11.909050f, 7.435672f, 7.032106f, 5.826327f, 8.237849f, 4.867278f, 6.394279f, 12.785670f, 17.267600f, 14.829360f, 11.698580f,
3.010170f, 3.776050f, 2.144892f, 3.305917f, 3.653135f, 5.562004f, 4.304287f, 3.433242f, 4.962000f, 7.025939f, 5.145213f, 5.700945f, 4.503587f, 6.091100f, 6.483545f, 4.313815f,
13.769440f, 14.854330f, 7.966178f, 12.976170f, 10.991570f, 14.391820f, 10.515130f, 8.863966f, 10.944240f, 13.326730f, 9.214072f, 10.789600f, 19.348530f, 22.504810f, 22.616290f, 15.903050f,
1.866041f, 2.290021f, 1.142970f, 2.295700f, 3.413380f, 5.084189f, 3.457158f, 3.593489f, 3.391912f, 4.698549f, 3.023363f, 4.365437f, 3.681352f, 4.870977f, 4.555757f, 3.950057f,
0.000961f, 0.001170f, 0.001974f, 0.005452f, 0.000833f, 0.001231f, 0.002830f, 0.004045f, 0.000018f, 0.000024f, 0.000053f, 0.000106f, 0.000695f, 0.000913f, 0.002886f, 0.003441f,
0.000553f, 0.000674f, 0.001410f, 0.003285f, 0.000516f, 0.000764f, 0.002177f, 0.002624f, 0.000020f, 0.000028f, 0.000075f, 0.000125f, 0.000325f, 0.000428f, 0.001677f, 0.001686f,
0.003649f, 0.003827f, 0.007555f, 0.018599f, 0.002241f, 0.002852f, 0.007670f, 0.009772f, 0.000064f, 0.000076f, 0.000193f, 0.000342f, 0.002017f, 0.002280f, 0.008435f, 0.008964f,
0.000024f, 0.000029f, 0.000053f, 0.000162f, 0.000034f, 0.000050f, 0.000124f, 0.000195f, 0.000001f, 0.000001f, 0.000003f, 0.000007f, 0.000019f, 0.000024f, 0.000084f, 0.000110f,
4.224910f, 5.553086f, 2.316954f, 5.515960f, 4.652723f, 7.422377f, 4.219181f, 5.198149f, 3.402521f, 5.047993f, 2.715395f, 4.647225f, 6.869253f, 9.734575f, 7.611129f, 7.821954f,
1.916048f, 2.522040f, 1.304252f, 2.618806f, 2.271315f, 3.628624f, 2.556547f, 2.656515f, 3.033243f, 4.506650f, 3.004656f, 4.337041f, 2.532731f, 3.594390f, 3.483244f, 3.019174f,
12.470200f, 14.115930f, 6.892046f, 14.625140f, 9.723295f, 13.358830f, 8.886060f, 9.758383f, 9.518709f, 12.162280f, 7.655701f, 11.678680f, 15.481760f, 18.895000f, 17.287600f, 15.836130f,
1.104810f, 1.422671f, 0.646460f, 1.691521f, 1.974000f, 3.085199f, 1.909953f, 2.586277f, 1.928617f, 2.803265f, 1.642225f, 3.089053f, 1.925700f, 2.673600f, 2.276580f, 2.571467f,
0.209508f, 0.262451f, 0.118824f, 0.247244f, 0.198685f, 0.302087f, 0.186333f, 0.200646f, 0.189160f, 0.267472f, 0.156122f, 0.233531f, 0.453624f, 0.612681f, 0.519803f, 0.466900f,
0.127832f, 0.160368f, 0.089991f, 0.157928f, 0.130493f, 0.198693f, 0.151903f, 0.137957f, 0.226874f, 0.321265f, 0.232422f, 0.293220f, 0.225022f, 0.304364f, 0.320055f, 0.242464f,
1.013751f, 1.093701f, 0.579442f, 1.074683f, 0.680686f, 0.891319f, 0.643349f, 0.617495f, 0.867523f, 1.056450f, 0.721592f, 0.962097f, 1.676029f, 1.949571f, 1.935529f, 1.549646f,
0.096754f, 0.118746f, 0.058550f, 0.133900f, 0.148869f, 0.221754f, 0.148965f, 0.176301f, 0.189353f, 0.262314f, 0.166749f, 0.274141f, 0.224581f, 0.297175f, 0.274582f, 0.271074f,
4.630146f, 5.991390f, 3.151894f, 4.436947f, 4.676983f, 7.345436f, 5.264580f, 3.835246f, 4.090663f, 5.974858f, 4.052312f, 4.100838f, 7.865519f, 10.973640f, 10.817920f, 6.573840f,
1.352852f, 1.753122f, 1.143096f, 1.357167f, 1.470967f, 2.313573f, 2.055209f, 1.262768f, 2.349454f, 3.436605f, 2.888893f, 2.465694f, 1.868417f, 2.610513f, 3.189669f, 1.634778f,
9.801819f, 10.923420f, 6.724476f, 8.437606f, 7.010163f, 9.481977f, 7.952448f, 5.163907f, 8.207805f, 10.324760f, 8.194282f, 7.391436f, 12.714350f, 15.276950f, 17.623240f, 9.545726f,
1.365028f, 1.730513f, 0.991455f, 1.533973f, 2.237087f, 3.442190f, 2.686799f, 2.151279f, 2.614062f, 3.740676f, 2.762991f, 3.073132f, 2.485900f, 3.397875f, 3.647999f, 2.436474f,
0.007855f, 0.009879f, 0.019133f, 0.040705f, 0.006102f, 0.009315f, 0.024580f, 0.027062f, 0.000153f, 0.000218f, 0.000544f, 0.000832f, 0.005247f, 0.007116f, 0.025825f, 0.023718f,
0.003049f, 0.003841f, 0.009219f, 0.016543f, 0.002550f, 0.003898f, 0.012749f, 0.011839f, 0.000117f, 0.000166f, 0.000515f, 0.000665f, 0.001656f, 0.002249f, 0.010117f, 0.007837f,
0.031865f, 0.034515f, 0.078224f, 0.148340f, 0.017528f, 0.023044f, 0.071153f, 0.069827f, 0.000590f, 0.000721f, 0.002108f, 0.002873f, 0.016255f, 0.018983f, 0.080623f, 0.065999f,
0.000219f, 0.000270f, 0.000569f, 0.001330f, 0.000276f, 0.000413f, 0.001186f, 0.001435f, 0.000009f, 0.000013f, 0.000035f, 0.000059f, 0.000157f, 0.000208f, 0.000823f, 0.000831f,
5.212938f, 7.078063f, 3.390005f, 6.216820f, 5.143397f, 8.476192f, 5.530812f, 5.248964f, 4.422999f, 6.778751f, 4.185687f, 5.518129f, 7.824029f, 11.453890f, 10.279880f, 8.138012f,
1.594347f, 2.167921f, 1.286933f, 1.990499f, 1.693291f, 2.794545f, 2.260090f, 1.809042f, 2.659100f, 4.081278f, 3.123489f, 3.472986f, 1.945456f, 2.852151f, 3.172737f, 2.118374f,
16.435430f, 19.219060f, 10.771440f, 17.607180f, 11.481510f, 16.295540f, 12.442640f, 10.525560f, 13.217110f, 17.445710f, 12.605540f, 14.812710f, 18.835790f, 23.747910f, 24.941130f, 17.599270f,
1.496322f, 1.990477f, 1.038239f, 2.092653f, 2.395314f, 3.867350f, 2.748248f, 2.866636f, 2.751912f, 4.132069f, 2.778683f, 4.026205f, 2.407588f, 3.453066f, 3.375158f, 2.936679f,
0.394890f, 0.438765f, 0.194291f, 0.523148f, 0.444215f, 0.599057f, 0.361402f, 0.503594f, 0.356777f, 0.447460f, 0.255449f, 0.494464f, 0.852030f, 1.020708f, 0.846974f, 0.984478f,
0.267580f, 0.297741f, 0.163412f, 0.371104f, 0.324006f, 0.437579f, 0.327194f, 0.384532f, 0.475218f, 0.596868f, 0.422334f, 0.689484f, 0.469379f, 0.563117f, 0.579154f, 0.567764f,
1.290638f, 1.235035f, 0.639963f, 1.535946f, 1.027952f, 1.193896f, 0.842838f, 1.046844f, 1.105216f, 1.193776f, 0.797498f, 1.375967f, 2.126369f, 2.193835f, 2.130241f, 2.207051f,
0.116704f, 0.127041f, 0.061266f, 0.181310f, 0.212998f, 0.281417f, 0.184895f, 0.283170f, 0.228551f, 0.280828f, 0.174601f, 0.371456f, 0.269945f, 0.316827f, 0.286316f, 0.365774f,
12.690050f, 14.564790f, 7.493976f, 13.651360f, 15.205020f, 21.181020f, 14.847630f, 13.997080f, 11.219040f, 14.534410f, 9.641323f, 12.625750f, 21.482270f, 26.583460f, 25.631180f, 20.155550f,
4.117730f, 4.732900f, 3.018298f, 4.637284f, 5.310836f, 7.408858f, 6.437068f, 5.118074f, 7.155954f, 9.284063f, 7.633153f, 8.430681f, 5.667156f, 7.023041f, 8.392842f, 5.566384f,
18.145680f, 17.936300f, 10.799330f, 17.535110f, 15.393850f, 18.468260f, 15.149280f, 12.729760f, 15.205010f, 16.964750f, 13.168690f, 15.371320f, 23.455500f, 24.997420f, 28.203830f, 19.768890f,
2.394157f, 2.692115f, 1.508537f, 3.020309f, 4.654214f, 6.351938f, 4.849207f, 5.024387f, 4.587963f, 5.823204f, 4.206836f, 6.054916f, 4.344888f, 5.267568f, 5.531228f, 4.780569f,
0.001041f, 0.001161f, 0.002199f, 0.006055f, 0.000959f, 0.001299f, 0.003351f, 0.004775f, 0.000020f, 0.000026f, 0.000063f, 0.000124f, 0.000693f, 0.000833f, 0.002958f, 0.003516f,
0.000449f, 0.000501f, 0.001177f, 0.002733f, 0.000445f, 0.000604f, 0.001930f, 0.002320f, 0.000017f, 0.000022f, 0.000066f, 0.000110f, 0.000243f, 0.000293f, 0.001287f, 0.001290f,
0.002852f, 0.002740f, 0.006073f, 0.014904f, 0.001861f, 0.002170f, 0.006553f, 0.008322f, 0.000053f, 0.000057f, 0.000164f, 0.000289f, 0.001450f, 0.001502f, 0.006238f, 0.006608f,
0.000019f, 0.000020f, 0.000042f, 0.000127f, 0.000028f, 0.000037f, 0.000103f, 0.000162f, 0.000001f, 0.000001f, 0.000003f, 0.000006f, 0.000013f, 0.000016f, 0.000060f, 0.000079f,
6.133343f, 7.386472f, 3.460087f, 8.211186f, 7.178230f, 10.492430f, 6.696197f, 8.223635f, 5.207445f, 7.078894f, 4.275104f, 7.293275f, 9.173376f, 11.911310f, 10.455830f, 10.711240f,
2.083226f, 2.512493f, 1.458752f, 2.919700f, 2.624446f, 3.841714f, 3.038812f, 3.147585f, 3.476812f, 4.733155f, 3.542897f, 5.097679f, 2.533138f, 3.293956f, 3.583798f, 3.096442f,
13.061520f, 13.547290f, 7.426055f, 15.708150f, 10.823410f, 13.625160f, 10.175360f, 11.138670f, 10.510960f, 12.305580f, 8.696391f, 13.224010f, 14.916960f, 16.681290f, 17.135020f, 15.646390f,
1.126632f, 1.329297f, 0.678151f, 1.768793f, 2.139302f, 3.063592f, 2.129303f, 2.874120f, 2.073407f, 2.761376f, 1.816189f, 3.405406f, 1.806438f, 2.298019f, 2.196884f, 2.473548f,
0.203340f, 0.253277f, 0.090867f, 0.302038f, 0.169831f, 0.256749f, 0.125494f, 0.215871f, 0.223325f, 0.313986f, 0.145229f, 0.347028f, 0.483624f, 0.649486f, 0.436647f, 0.626539f,
0.112357f, 0.140152f, 0.062321f, 0.174715f, 0.101012f, 0.152930f, 0.092648f, 0.134414f, 0.242566f, 0.341532f, 0.195795f, 0.394595f, 0.217257f, 0.292189f, 0.243474f, 0.294651f,
0.914231f, 0.980723f, 0.411731f, 1.219880f, 0.540631f, 0.703898f, 0.402605f, 0.617305f, 0.951680f, 1.152345f, 0.623708f, 1.328439f, 1.660333f, 1.920331f, 1.510751f, 1.932228f,
0.083575f, 0.101988f, 0.039849f, 0.145580f, 0.113251f, 0.167738f, 0.089289f, 0.168812f, 0.198960f, 0.274055f, 0.138050f, 0.362559f, 0.213093f, 0.280370f, 0.205280f, 0.323740f,
3.344346f, 4.302962f, 1.793774f, 4.033789f, 2.975166f, 4.646077f, 2.638691f, 3.070796f, 3.594147f, 5.219791f, 2.805333f, 4.535102f, 6.240695f, 8.657247f, 6.762838f, 6.565035f,
0.884918f, 1.140219f, 0.589135f, 1.117374f, 0.847392f, 1.325221f, 0.932862f, 0.915625f, 1.869413f, 2.718888f, 1.811128f, 2.469391f, 1.342504f, 1.865052f, 1.805788f, 1.478472f,
6.578467f, 7.289539f, 3.555952f, 7.127703f, 4.143573f, 5.572745f, 3.703626f, 3.841826f, 6.700861f, 8.381214f, 5.271012f, 7.595297f, 9.373489f, 11.198690f, 10.236990f, 8.857850f,
0.877490f, 1.106111f, 0.502173f, 1.241168f, 1.266520f, 1.937704f, 1.198516f, 1.532986f, 2.044099f, 2.908435f, 1.702335f, 3.024681f, 1.755387f, 2.385723f, 2.029661f, 2.165527f,
0.001790f, 0.002239f, 0.003436f, 0.011679f, 0.001225f, 0.001859f, 0.003888f, 0.006838f, 0.000043f, 0.000060f, 0.000119f, 0.000290f, 0.001314f, 0.001772f, 0.005095f, 0.007475f,
0.000629f, 0.000788f, 0.001500f, 0.004298f, 0.000464f, 0.000705f, 0.001826f, 0.002709f, 0.000029f, 0.000042f, 0.000102f, 0.000210f, 0.000376f, 0.000507f, 0.001808f, 0.002237f,
0.006749f, 0.007269f, 0.013054f, 0.039546f, 0.003270f, 0.004274f, 0.010458f, 0.016395f, 0.000152f, 0.000185f, 0.000428f, 0.000932f, 0.003782f, 0.004392f, 0.014780f, 0.019328f,
0.000044f, 0.000054f, 0.000091f, 0.000340f, 0.000049f, 0.000073f, 0.000167f, 0.000323f, 0.000002f, 0.000003f, 0.000007f, 0.000018f, 0.000035f, 0.000046f, 0.000145f, 0.000233f,
3.118375f, 4.210014f, 1.597812f, 4.680868f, 2.709721f, 4.440161f, 2.295847f, 3.480652f, 3.218460f, 4.904609f, 2.399814f, 5.054003f, 5.141208f, 7.483608f, 5.322334f, 6.730781f,
0.863704f, 1.167747f, 0.549310f, 1.357239f, 0.807872f, 1.325700f, 0.849603f, 1.086355f, 1.752274f, 2.674158f, 1.621761f, 2.880600f, 1.157690f, 1.687589f, 1.487594f, 1.586667f,
9.135415f, 10.621910f, 4.717375f, 12.318260f, 5.620499f, 7.931733f, 4.799191f, 6.485356f, 8.936540f, 11.728560f, 6.715427f, 12.606070f, 11.500590f, 14.417330f, 11.998630f, 13.525190f,
0.796626f, 1.053683f, 0.435518f, 1.402294f, 1.123106f, 1.802998f, 1.015299f, 1.691778f, 1.782172f, 2.660762f, 1.417861f, 3.281886f, 1.407994f, 2.007922f, 1.555221f, 2.161660f,
0.034844f, 0.042253f, 0.016665f, 0.045017f, 0.034170f, 0.050291f, 0.027024f, 0.037777f, 0.026612f, 0.036426f, 0.018522f, 0.035968f, 0.131474f, 0.171895f, 0.127047f, 0.148144f,
0.038531f, 0.046792f, 0.022874f, 0.052113f, 0.040673f, 0.059949f, 0.039927f, 0.047074f, 0.057846f, 0.079294f, 0.049975f, 0.081847f, 0.118198f, 0.154761f, 0.141772f, 0.139428f,
0.190693f, 0.199153f, 0.091917f, 0.221311f, 0.132403f, 0.167830f, 0.105531f, 0.131493f, 0.138040f, 0.162727f, 0.096828f, 0.167596f, 0.549415f, 0.618648f, 0.535058f, 0.556122f,
0.021196f, 0.025182f, 0.010817f, 0.032114f, 0.033724f, 0.048629f, 0.028458f, 0.043723f, 0.035090f, 0.047056f, 0.026059f, 0.055617f, 0.085739f, 0.109826f, 0.088402f, 0.113295f,
1.249919f, 1.565669f, 0.717532f, 1.311262f, 1.305569f, 1.984892f, 1.239310f, 1.172048f, 0.934119f, 1.320752f, 0.780358f, 1.025178f, 3.700241f, 4.997336f, 4.291694f, 3.385631f,
0.661879f, 0.830281f, 0.471621f, 0.726908f, 0.744180f, 1.133035f, 0.876826f, 0.699385f, 0.972336f, 1.376779f, 1.008238f, 1.117138f, 1.593005f, 2.154539f, 2.293355f, 1.525879f,
2.992750f, 3.228549f, 1.731427f, 2.820335f, 2.213291f, 2.897974f, 2.117354f, 1.784871f, 2.119884f, 2.581369f, 1.784753f, 2.089930f, 6.765085f, 7.868660f, 7.907637f, 5.560397f,
0.485391f, 0.595676f, 0.297307f, 0.597153f, 0.822583f, 1.225228f, 0.833133f, 0.865988f, 0.786299f, 1.089198f, 0.700863f, 1.011977f, 1.540456f, 2.038252f, 1.906349f, 1.652895f,
0.000681f, 0.000829f, 0.001399f, 0.003864f, 0.000547f, 0.000809f, 0.001859f, 0.002656f, 0.000011f, 0.000015f, 0.000034f, 0.000067f, 0.000793f, 0.001041f, 0.003291f, 0.003923f,
0.000479f, 0.000584f, 0.001222f, 0.002846f, 0.000414f, 0.000613f, 0.001747f, 0.002106f, 0.000016f, 0.000021f, 0.000058f, 0.000097f, 0.000454f, 0.000596f, 0.002336f, 0.002349f,
0.003125f, 0.003277f, 0.006469f, 0.015926f, 0.001778f, 0.002262f, 0.006085f, 0.007752f, 0.000049f, 0.000058f, 0.000147f, 0.000261f, 0.002778f, 0.003141f, 0.011620f, 0.012348f,
0.000025f, 0.000030f, 0.000055f, 0.000166f, 0.000033f, 0.000047f, 0.000118f, 0.000186f, 0.000001f, 0.000001f, 0.000003f, 0.000006f, 0.000031f, 0.000040f, 0.000138f, 0.000181f,
0.620495f, 0.815559f, 0.340282f, 0.810107f, 0.633072f, 1.009924f, 0.574082f, 0.707285f, 0.445343f, 0.660712f, 0.355407f, 0.608257f, 1.622938f, 2.299902f, 1.798214f, 1.848024f,
0.343938f, 0.452715f, 0.234118f, 0.470085f, 0.377725f, 0.603448f, 0.425159f, 0.441784f, 0.485236f, 0.720941f, 0.480663f, 0.693808f, 0.731364f, 1.037934f, 1.005839f, 0.871832f,
2.212654f, 2.504664f, 1.222893f, 2.595016f, 1.598373f, 2.196003f, 1.460743f, 1.604141f, 1.505187f, 1.923213f, 1.210591f, 1.846742f, 4.419077f, 5.393344f, 4.934532f, 4.520228f,
0.234609f, 0.302107f, 0.137277f, 0.359198f, 0.388354f, 0.606966f, 0.375754f, 0.508811f, 0.364985f, 0.530509f, 0.310786f, 0.584594f, 0.657834f, 0.913323f, 0.777697f, 0.878433f,
0.022636f, 0.028356f, 0.012838f, 0.026713f, 0.019888f, 0.030238f, 0.018651f, 0.020084f, 0.018214f, 0.025754f, 0.015032f, 0.022486f, 0.078842f, 0.106488f, 0.090345f, 0.081150f,
0.016881f, 0.021177f, 0.011884f, 0.020855f, 0.015965f, 0.024308f, 0.018584f, 0.016878f, 0.026700f, 0.037808f, 0.027352f, 0.034507f, 0.047802f, 0.064656f, 0.067989f, 0.051507f,
0.132326f, 0.142761f, 0.075635f, 0.140279f, 0.082316f, 0.107788f, 0.077801f, 0.074674f, 0.100917f, 0.122895f, 0.083941f, 0.111919f, 0.351937f, 0.409376f, 0.406428f, 0.325399f,
0.015115f, 0.018550f, 0.009147f, 0.020918f, 0.021546f, 0.032094f, 0.021559f, 0.025516f, 0.026362f, 0.036519f, 0.023215f, 0.038166f, 0.056438f, 0.074681f, 0.069004f, 0.068122f,
0.799688f, 1.034793f, 0.544374f, 0.766320f, 0.748370f, 1.175352f, 0.842392f, 0.613682f, 0.629639f, 0.919657f, 0.623736f, 0.631205f, 2.185367f, 3.048932f, 3.005667f, 1.826485f,
0.285580f, 0.370075f, 0.241302f, 0.286491f, 0.287677f, 0.452466f, 0.401938f, 0.246960f, 0.441995f, 0.646517f, 0.543478f, 0.463863f, 0.634487f, 0.886493f, 1.083165f, 0.555147f,
2.045274f, 2.279310f, 1.403147f, 1.760613f, 1.355181f, 1.833024f, 1.537341f, 0.998269f, 1.526315f, 1.919981f, 1.523800f, 1.374504f, 4.267860f, 5.128055f, 5.915637f, 3.204239f,
0.340881f, 0.432152f, 0.247591f, 0.383071f, 0.517569f, 0.796380f, 0.621614f, 0.497717f, 0.581767f, 0.832499f, 0.614912f, 0.683935f, 0.998656f, 1.365022f, 1.465504f, 0.978800f,
0.005345f, 0.006722f, 0.013019f, 0.027697f, 0.003847f, 0.005872f, 0.015495f, 0.017060f, 0.000093f, 0.000132f, 0.000330f, 0.000504f, 0.005744f, 0.007789f, 0.028268f, 0.025962f,
0.002536f, 0.003194f, 0.007667f, 0.013758f, 0.001965f, 0.003004f, 0.009823f, 0.009122f, 0.000087f, 0.000123f, 0.000382f, 0.000493f, 0.002216f, 0.003009f, 0.013536f, 0.010484f,
0.026195f, 0.028373f, 0.064306f, 0.121945f, 0.013350f, 0.017550f, 0.054191f, 0.053181f, 0.000432f, 0.000528f, 0.001544f, 0.002105f, 0.021497f, 0.025105f, 0.106620f, 0.087281f,
0.000215f, 0.000265f, 0.000560f, 0.001309f, 0.000251f, 0.000376f, 0.001081f, 0.001308f, 0.000008f, 0.000011f, 0.000031f, 0.000052f, 0.000248f, 0.000330f, 0.001303f, 0.001315f,
0.735012f, 0.997990f, 0.477983f, 0.876557f, 0.671872f, 1.107228f, 0.722479f, 0.685662f, 0.555777f, 0.851792f, 0.525958f, 0.693387f, 1.774652f, 2.597980f, 2.331690f, 1.845870f,
0.274756f, 0.373600f, 0.221779f, 0.343025f, 0.270346f, 0.446169f, 0.360840f, 0.288826f, 0.408386f, 0.626805f, 0.479707f, 0.533383f, 0.539332f, 0.790692f, 0.879567f, 0.587270f,
2.799702f, 3.273879f, 1.834866f, 2.999304f, 1.811983f, 2.571721f, 1.963666f, 1.661118f, 2.006502f, 2.648448f, 1.913658f, 2.248731f, 5.161616f, 6.507694f, 6.834676f, 4.822769f,
0.305051f, 0.405793f, 0.211663f, 0.426623f, 0.452412f, 0.730441f, 0.519072f, 0.541432f, 0.499981f, 0.750736f, 0.504845f, 0.731502f, 0.789588f, 1.132461f, 1.106910f, 0.963108f,
0.029955f, 0.033283f, 0.014738f, 0.039684f, 0.031218f, 0.042100f, 0.025399f, 0.035391f, 0.024119f, 0.030250f, 0.017269f, 0.033427f, 0.103973f, 0.124557f, 0.103356f, 0.120135f,
0.024808f, 0.027605f, 0.015151f, 0.034407f, 0.027831f, 0.037586f, 0.028104f, 0.033030f, 0.039265f, 0.049317f, 0.034896f, 0.056969f, 0.070007f, 0.083988f, 0.086380f, 0.084681f,
0.118282f, 0.113186f, 0.058650f, 0.140763f, 0.087279f, 0.101369f, 0.071562f, 0.088883f, 0.090268f, 0.097501f, 0.065135f, 0.112381f, 0.313489f, 0.323436f, 0.314060f, 0.325384f,
0.012800f, 0.013934f, 0.006720f, 0.019886f, 0.021644f, 0.028596f, 0.018788f, 0.028774f, 0.022340f, 0.027450f, 0.017067f, 0.036309f, 0.047629f, 0.055901f, 0.050518f, 0.064538f,
1.538826f, 1.766161f, 0.908737f, 1.655396f, 1.708196f, 2.379564f, 1.668045f, 1.572491f, 1.212422f, 1.570709f, 1.041922f, 1.364444f, 4.190611f, 5.185716f, 4.999952f, 3.931805f,
0.610290f, 0.701465f, 0.447343f, 0.687293f, 0.729232f, 1.017312f, 0.883875f, 0.702764f, 0.945188f, 1.226277f, 1.008218f, 1.113559f, 1.351184f, 1.674460f, 2.001053f, 1.327158f,
2.658387f, 2.627714f, 1.582129f, 2.568938f, 2.089377f, 2.506660f, 2.056182f, 1.727786f, 1.985199f, 2.214954f, 1.719332f, 2.006913f, 5.527910f, 5.891303f, 6.646979f, 4.659062f,
0.419773f, 0.472014f, 0.264495f, 0.529557f, 0.756019f, 1.031792f, 0.787693f, 0.816148f, 0.716892f, 0.909905f, 0.657339f, 0.946111f, 1.225494f, 1.485740f, 1.560107f, 1.348380f,
0.000497f, 0.000555f, 0.001051f, 0.002892f, 0.000425f, 0.000575f, 0.001483f, 0.002113f, 0.000009f, 0.000011f, 0.000027f, 0.000053f, 0.000532f, 0.000640f, 0.002273f, 0.002702f,
0.000262f, 0.000293f, 0.000687f, 0.001596f, 0.000241f, 0.000326f, 0.001044f, 0.001255f, 0.000009f, 0.000011f, 0.000034f, 0.000057f, 0.000228f, 0.000275f, 0.001209f, 0.001212f,
0.001646f, 0.001581f, 0.003505f, 0.008602f, 0.000995f, 0.001160f, 0.003504f, 0.004450f, 0.000027f, 0.000029f, 0.000084f, 0.000149f, 0.001346f, 0.001394f, 0.005792f, 0.006135f,
0.000013f, 0.000014f, 0.000029f, 0.000087f, 0.000018f, 0.000024f, 0.000066f, 0.000104f, 0.000000f, 0.000001f, 0.000002f, 0.000003f, 0.000015f, 0.000017f, 0.000067f, 0.000088f,
0.607169f, 0.731222f, 0.342530f, 0.812864f, 0.658346f, 0.962305f, 0.614136f, 0.754224f, 0.459419f, 0.624525f, 0.377165f, 0.643438f, 1.460873f, 1.896892f, 1.665106f, 1.705780f,
0.252058f, 0.303997f, 0.176500f, 0.353266f, 0.294189f, 0.430639f, 0.340638f, 0.352831f, 0.374902f, 0.510372f, 0.382028f, 0.549679f, 0.493054f, 0.641141f, 0.697556f, 0.602696f,
1.562156f, 1.620255f, 0.888156f, 1.878694f, 1.199277f, 1.509723f, 1.127470f, 1.234209f, 1.120329f, 1.311612f, 0.926920f, 1.409504f, 2.870004f, 3.209459f, 3.296755f, 3.010344f,
0.161261f, 0.190270f, 0.097067f, 0.253177f, 0.283690f, 0.406259f, 0.282364f, 0.381133f, 0.264487f, 0.352245f, 0.231676f, 0.434399f, 0.415951f, 0.529142f, 0.505854f, 0.569559f,
0.014329f, 0.017848f, 0.006403f, 0.021284f, 0.011087f, 0.016762f, 0.008193f, 0.014093f, 0.014025f, 0.019718f, 0.009120f, 0.021793f, 0.054824f, 0.073626f, 0.049498f, 0.071024f,
0.009677f, 0.012071f, 0.005368f, 0.015048f, 0.008060f, 0.012203f, 0.007393f, 0.010725f, 0.018618f, 0.026215f, 0.015028f, 0.030288f, 0.030101f, 0.040483f, 0.033734f, 0.040824f,
0.077833f, 0.083494f, 0.035053f, 0.103854f, 0.042642f, 0.055519f, 0.031755f, 0.048689f, 0.072206f, 0.087430f, 0.047322f, 0.100791f, 0.227391f, 0.262999f, 0.206905f, 0.264629f,
0.008515f, 0.010391f, 0.004060f, 0.014833f, 0.010690f, 0.015834f, 0.008428f, 0.015935f, 0.018066f, 0.024885f, 0.012535f, 0.032921f, 0.034927f, 0.045954f, 0.033647f, 0.053063f,
0.376732f, 0.484717f, 0.202064f, 0.454396f, 0.310496f, 0.484877f, 0.275381f, 0.320477f, 0.360819f, 0.524018f, 0.281629f, 0.455282f, 1.130902f, 1.568815f, 1.225522f, 1.189677f,
0.121836f, 0.156986f, 0.081113f, 0.153841f, 0.108089f, 0.169039f, 0.118991f, 0.116793f, 0.229377f, 0.333608f, 0.222226f, 0.302995f, 0.297344f, 0.413081f, 0.399955f, 0.327459f,
0.895292f, 0.992064f, 0.483945f, 0.970039f, 0.522443f, 0.702641f, 0.466973f, 0.484398f, 0.812723f, 1.016527f, 0.639302f, 0.921206f, 2.052165f, 2.451761f, 2.241213f, 1.939274f,
0.142922f, 0.180158f, 0.081792f, 0.202156f, 0.191114f, 0.292394f, 0.180853f, 0.231323f, 0.296709f, 0.422171f, 0.247100f, 0.439044f, 0.459939f, 0.625097f, 0.531803f, 0.567402f,
0.000795f, 0.000994f, 0.001525f, 0.005183f, 0.000504f, 0.000765f, 0.001599f, 0.002812f, 0.000017f, 0.000024f, 0.000047f, 0.000115f, 0.000938f, 0.001265f, 0.003637f, 0.005337f,
0.000341f, 0.000428f, 0.000813f, 0.002331f, 0.000233f, 0.000354f, 0.000918f, 0.001361f, 0.000014f, 0.000020f, 0.000049f, 0.000102f, 0.000328f, 0.000442f, 0.001577f, 0.001952f,
0.003619f, 0.003897f, 0.006999f, 0.021204f, 0.001624f, 0.002123f, 0.005195f, 0.008144f, 0.000073f, 0.000088f, 0.000204f, 0.000445f, 0.003262f, 0.003788f, 0.012748f, 0.016671f,
0.000028f, 0.000035f, 0.000058f, 0.000218f, 0.000029f, 0.000044f, 0.000099f, 0.000192f, 0.000001f, 0.000002f, 0.000004f, 0.000010f, 0.000036f, 0.000048f, 0.000149f, 0.000241f,
0.286771f, 0.387160f, 0.146937f, 0.430460f, 0.230864f, 0.378294f, 0.195602f, 0.296546f, 0.263771f, 0.401960f, 0.196678f, 0.414204f, 0.760577f, 1.107105f, 0.787372f, 0.995734f,
0.097079f, 0.131252f, 0.061741f, 0.152551f, 0.084125f, 0.138048f, 0.088471f, 0.113124f, 0.175523f, 0.267867f, 0.162449f, 0.288545f, 0.209326f, 0.305138f, 0.268977f, 0.286890f,
1.014972f, 1.180126f, 0.524114f, 1.368595f, 0.578529f, 0.816429f, 0.493990f, 0.667550f, 0.884845f, 1.161295f, 0.664923f, 1.248181f, 2.055497f, 2.576806f, 2.144513f, 2.417353f,
0.105925f, 0.140104f, 0.057909f, 0.186458f, 0.138353f, 0.222107f, 0.125072f, 0.208406f, 0.211185f, 0.315298f, 0.168015f, 0.388900f, 0.301172f, 0.429497f, 0.332664f, 0.462382f,
0.177993f, 0.215843f, 0.085131f, 0.229958f, 0.140275f, 0.206458f, 0.110940f, 0.155082f, 0.117641f, 0.161025f, 0.081880f, 0.158998f, 0.406517f, 0.531499f, 0.392830f, 0.458062f,
0.236337f, 0.287007f, 0.140305f, 0.319645f, 0.200488f, 0.295508f, 0.196812f, 0.232041f, 0.307046f, 0.420887f, 0.265263f, 0.434439f, 0.438830f, 0.574578f, 0.526353f, 0.517649f,
0.965408f, 1.008238f, 0.465341f, 1.120412f, 0.538689f, 0.682824f, 0.429358f, 0.534986f, 0.604765f, 0.712918f, 0.424209f, 0.734248f, 1.683607f, 1.895760f, 1.639612f, 1.704157f,
0.079810f, 0.094818f, 0.040729f, 0.120917f, 0.102048f, 0.147149f, 0.086113f, 0.132304f, 0.114337f, 0.153328f, 0.084910f, 0.181221f, 0.195408f, 0.250303f, 0.201476f, 0.258211f,
3.817794f, 4.782230f, 2.191652f, 4.005161f, 3.204754f, 4.872273f, 3.042109f, 2.877001f, 2.469094f, 3.491055f, 2.062666f, 2.709783f, 6.841082f, 9.239177f, 7.934572f, 6.259424f,
2.427481f, 3.045107f, 1.729698f, 2.665979f, 2.193408f, 3.339527f, 2.584371f, 2.061380f, 3.086019f, 4.369645f, 3.199964f, 3.545591f, 3.536378f, 4.782951f, 5.091113f, 3.387363f,
9.059423f, 9.773217f, 5.241244f, 8.537504f, 5.384347f, 7.049997f, 5.150957f, 4.342115f, 5.553247f, 6.762153f, 4.675338f, 5.474780f, 12.395600f, 14.417680f, 14.489090f, 10.188270f,
1.092810f, 1.341106f, 0.669358f, 1.344432f, 1.488323f, 2.216839f, 1.507411f, 1.566855f, 1.531952f, 2.122093f, 1.365498f, 1.971644f, 2.099261f, 2.777635f, 2.597883f, 2.252488f,
0.001096f, 0.001334f, 0.002251f, 0.006218f, 0.000708f, 0.001046f, 0.002404f, 0.003436f, 0.000016f, 0.000022f, 0.000047f, 0.000093f, 0.000772f, 0.001014f, 0.003206f, 0.003822f,
0.000926f, 0.001129f, 0.002361f, 0.005499f, 0.000644f, 0.000952f, 0.002713f, 0.003271f, 0.000026f, 0.000036f, 0.000097f, 0.000162f, 0.000530f, 0.000697f, 0.002733f, 0.002748f,
0.004984f, 0.005226f, 0.010318f, 0.025401f, 0.002278f, 0.002900f, 0.007799f, 0.009936f, 0.000068f, 0.000080f, 0.000204f, 0.000360f, 0.002682f, 0.003032f, 0.011218f, 0.011921f,
0.000030f, 0.000035f, 0.000065f, 0.000197f, 0.000031f, 0.000045f, 0.000113f, 0.000177f, 0.000001f, 0.000001f, 0.000003f, 0.000006f, 0.000022f, 0.000029f, 0.000099f, 0.000130f,
2.241948f, 2.946745f, 1.229492f, 2.927044f, 1.838249f, 2.932514f, 1.666960f, 2.053741f, 1.392470f, 2.065874f, 1.111266f, 1.901862f, 3.549385f, 5.029914f, 3.932717f, 4.041651f,
1.492153f, 1.964080f, 1.015708f, 2.039438f, 1.316962f, 2.103962f, 1.482346f, 1.540310f, 1.821761f, 2.706687f, 1.804591f, 2.604820f, 1.920576f, 2.725635f, 2.641353f, 2.289447f,
7.923192f, 8.968837f, 4.379000f, 9.292375f, 4.599696f, 6.319517f, 4.203634f, 4.616294f, 4.664250f, 5.959623f, 3.751360f, 5.722657f, 9.578170f, 11.689850f, 10.695400f, 9.797409f,
0.624818f, 0.804583f, 0.365601f, 0.956629f, 0.831193f, 1.299087f, 0.804225f, 1.089005f, 0.841180f, 1.222664f, 0.716268f, 1.347313f, 1.060450f, 1.472305f, 1.253673f, 1.416062f,
0.177101f, 0.221854f, 0.100444f, 0.209000f, 0.125047f, 0.190126f, 0.117273f, 0.126281f, 0.123318f, 0.174371f, 0.101780f, 0.152244f, 0.373380f, 0.504300f, 0.427853f, 0.384307f,
0.158584f, 0.198946f, 0.111639f, 0.195919f, 0.120530f, 0.183523f, 0.140305f, 0.127424f, 0.217061f, 0.307368f, 0.222368f, 0.280537f, 0.271819f, 0.367660f, 0.386615f, 0.292888f,
1.026053f, 1.106972f, 0.586473f, 1.087723f, 0.512949f, 0.671676f, 0.484812f, 0.465330f, 0.677168f, 0.824639f, 0.563257f, 0.750990f, 1.651791f, 1.921378f, 1.907539f, 1.527236f,
0.087166f, 0.106978f, 0.052748f, 0.120631f, 0.099855f, 0.148744f, 0.099920f, 0.118255f, 0.131561f, 0.182254f, 0.115856f, 0.190471f, 0.197009f, 0.260691f, 0.240871f, 0.237794f,
3.741116f, 4.840989f, 2.546702f, 3.585013f, 2.813592f, 4.418887f, 3.167080f, 2.307218f, 2.549044f, 3.723155f, 2.525145f, 2.555384f, 6.188271f, 8.633617f, 8.511103f, 5.172030f,
1.604190f, 2.078823f, 1.355464f, 1.609307f, 1.298665f, 2.042573f, 1.814473f, 1.114854f, 2.148570f, 3.142766f, 2.641885f, 2.254871f, 2.157320f, 3.014163f, 3.682871f, 1.887555f,
9.482695f, 10.567780f, 6.505543f, 8.162897f, 5.049426f, 6.829877f, 5.728155f, 3.719567f, 6.123915f, 7.703394f, 6.113826f, 5.514815f, 11.977190f, 14.391210f, 16.601460f, 8.992273f,
1.175455f, 1.490182f, 0.853763f, 1.320937f, 1.434287f, 2.206927f, 1.722616f, 1.379272f, 1.736030f, 2.484228f, 1.834936f, 2.040904f, 2.084411f, 2.849096f, 3.058824f, 2.042968f,
0.013173f, 0.016568f, 0.032089f, 0.068269f, 0.007620f, 0.011632f, 0.030693f, 0.033793f, 0.000198f, 0.000282f, 0.000704f, 0.001076f, 0.008570f, 0.011620f, 0.042175f, 0.038733f,
0.007505f, 0.009453f, 0.022693f, 0.040718f, 0.004673f, 0.007144f, 0.023365f, 0.021696f, 0.000222f, 0.000316f, 0.000978f, 0.001261f, 0.003969f, 0.005390f, 0.024248f, 0.018782f,
0.063989f, 0.069311f, 0.157087f, 0.297889f, 0.026208f, 0.034454f, 0.106385f, 0.104403f, 0.000914f, 0.001117f, 0.003264f, 0.004450f, 0.031785f, 0.037120f, 0.157650f, 0.129054f,
0.000391f, 0.000482f, 0.001017f, 0.002377f, 0.000367f, 0.000549f, 0.001578f, 0.001909f, 0.000013f, 0.000018f, 0.000048f, 0.000081f, 0.000273f, 0.000362f, 0.001433f, 0.001446f,
4.067536f, 5.522850f, 2.645143f, 4.850842f, 2.988049f, 4.924232f, 3.213117f, 3.049378f, 2.661599f, 4.079205f, 2.518794f, 3.320609f, 5.944492f, 8.702362f, 7.810380f, 6.183048f,
1.825705f, 2.482511f, 1.473682f, 2.279343f, 1.443671f, 2.382581f, 1.926914f, 1.542358f, 2.348332f, 3.604301f, 2.758448f, 3.067100f, 2.169225f, 3.180209f, 3.537670f, 2.362032f,
15.354960f, 17.955580f, 10.063320f, 16.449670f, 7.986476f, 11.335090f, 8.655035f, 7.321528f, 9.523162f, 12.569940f, 9.082511f, 10.672820f, 17.135110f, 21.603710f, 22.689190f, 16.010230f,
1.244319f, 1.655251f, 0.863384f, 1.740219f, 1.483058f, 2.394468f, 1.701576f, 1.774876f, 1.764893f, 2.650034