CTScan = {{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.20392156862745098, 
      1.3176470588235298, 2.8901960784313734, 4.239215686274508, 
      4.690196078431371, 5.901960784313724, 6.643137254901959, 
      6.596078431372547, 6.349019607843138, 7.772549019607839, 
      10.658823529411759, 12.721568627450974, 14.482352941176465, 
      15.75686274509804, 16.411764705882355, 16.764705882352942, 
      17.215686274509803, 17.556862745098034, 17.78039215686274, 
      17.72156862745097, 17.396078431372544, 17.13333333333333, 
      17.027450980392157, 16.79607843137255, 15.670588235294115, 
      14.12941176470588, 12.203921568627447, 11.486274509803915, 
      9.552941176470584, 7.58039215686274, 6.380392156862741, 
      5.921568627450976, 4.6666666666666625, 4.301960784313722, 
      3.3411764705882323, 2.4, 1.1215686274509808, 0.20392156862745098, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0.15294117647058825, 0.9098039215686274, 2.1372549019607847, 
      4.00392156862745, 5.015686274509805, 6.054901960784314, 
      6.662745098039216, 6.090196078431372, 5.141176470588236, 
      5.996078431372548, 7.623529411764704, 9.788235294117646, 
      11.925490196078426, 13.560784313725486, 14.694117647058821, 
      16.262745098039215, 17.51372549019608, 18.12156862745098, 
      17.984313725490193, 18.780392156862742, 18.8470588235294, 
      17.780392156862742, 18.152941176470584, 17.55686274509804, 
      17.035294117647062, 14.921568627450977, 13.52549019607843, 
      11.317647058823525, 10.509803921568622, 8.988235294117644, 
      6.5647058823529365, 6.0235294117647005, 6.411764705882347, 
      6.003921568627445, 4.819607843137248, 4.6156862745098, 
      2.854901960784311, 1.533333333333334, 0.7137254901960786, 
      0.15294117647058825, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
     {0, 0, 0, 0, 0, 0, 0, 0, 0.15294117647058825, 0.5411764705882353, 
      1.3019607843137255, 2.9137254901960783, 4.086274509803922, 
      5.415686274509803, 6.270588235294117, 6.6235294117647046, 
      6.498039215686274, 5.125490196078431, 5.584313725490195, 
      8.145098039215686, 9.878431372549016, 11.949019607843136, 
      13.08235294117647, 14.537254901960784, 14.61176470588235, 
      16.08627450980392, 18.298039215686277, 18.890196078431376, 
      19.172549019607846, 19.172549019607843, 18.87058823529412, 
      18.427450980392162, 16.847058823529412, 14.96078431372549, 
      14.937254901960783, 12.831372549019607, 12.521568627450975, 
      10.431372549019605, 8.592156862745094, 6.6235294117647, 
      6.611764705882347, 6.756862745098033, 6.113725490196072, 
      5.537254901960779, 4.552941176470584, 3.780392156862742, 
      1.7960784313725497, 0.9294117647058826, 0.45882352941176463, 
      0.15294117647058825, 0, 0, 0, 0, 0, 0, 0, 0}, 
     {0, 0, 0, 0, 0, 0, 0, 0.15294117647058825, 0.35686274509803917, 
      1.2823529411764705, 2.980392156862745, 2.756862745098039, 
      4.549019607843136, 5.08627450980392, 6.141176470588234, 
      5.988235294117647, 4.996078431372548, 4.2745098039215685, 
      5.454901960784312, 8.4078431372549, 10.980392156862743, 
      12.44705882352941, 13.662745098039213, 14.941176470588236, 
      15.91764705882353, 16.968627450980392, 17.08627450980392, 
      17.85098039215686, 19.23529411764706, 19.298039215686273, 
      17.73333333333333, 17.411764705882348, 17.690196078431374, 
      16.223529411764705, 15.584313725490194, 14.07058823529412, 
      13.25882352941176, 10.803921568627446, 8.580392156862741, 
      6.411764705882348, 5.3529411764705825, 5.6235294117647, 
      6.372549019607837, 5.807843137254897, 4.266666666666664, 
      3.396078431372546, 2.9960784313725464, 1.7882352941176476, 
      0.827450980392157, 0.35686274509803917, 0.15294117647058825, 0, 0, 0, 
      0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0.10196078431372549, 
      0.30588235294117644, 0.8274509803921568, 2.235294117647059, 
      3.227450980392157, 3.7568627450980387, 4.549019607843137, 
      4.823529411764706, 6.372549019607843, 5.6156862745098035, 
      4.588235294117647, 4.043137254901961, 5.862745098039214, 
      8.545098039215684, 10.49019607843137, 12.52941176470588, 
      14.75294117647059, 15.4, 15.474509803921567, 16.372549019607845, 
      17.094117647058823, 18.48235294117647, 19.35294117647059, 
      19.545098039215688, 18.68235294117647, 17.407843137254897, 
      17.03921568627451, 15.913725490196075, 16.188235294117646, 
      15.64313725490196, 13.137254901960782, 10.843137254901954, 
      9.13725490196078, 6.211764705882348, 4.956862745098034, 
      5.14117647058823, 5.729411764705878, 6.066666666666662, 
      4.666666666666664, 4.023529411764703, 3.0039215686274487, 
      3.0078431372549, 1.250980392156863, 0.5294117647058822, 
      0.30588235294117644, 0.10196078431372549, 0, 0, 0, 0, 0, 0}, 
     {0, 0, 0, 0, 0, 0.050980392156862744, 0.2549019607843137, 
      0.8078431372549019, 1.9607843137254903, 3.125490196078431, 
      2.9372549019607836, 3.823529411764706, 4.454901960784314, 
      5.305882352941175, 5.913725490196077, 5.40392156862745, 
      4.3921568627450975, 3.501960784313725, 5.313725490196076, 
      8.180392156862743, 11.2156862745098, 13.737254901960782, 
      15.596078431372547, 16.254901960784316, 16.266666666666666, 
      15.811764705882352, 17.392156862745097, 19.168627450980395, 
      20.30980392156863, 20.556862745098044, 19.50588235294118, 
      18.172549019607843, 16.29019607843137, 16.48627450980392, 
      16.76078431372549, 16.796078431372546, 14.549019607843132, 
      11.482352941176464, 8.709803921568623, 5.486274509803917, 
      4.949019607843133, 5.278431372549015, 5.831372549019604, 
      6.066666666666663, 5.49411764705882, 4.003921568627449, 
      3.1215686274509777, 2.7058823529411744, 2.4039215686274495, 
      1.250980392156863, 0.5294117647058822, 0.2549019607843137, 
      0.050980392156862744, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 
      0.050980392156862744, 0.2549019607843137, 0.38823529411764707, 
      1.423529411764706, 2.2352941176470584, 2.6392156862745098, 
      3.733333333333333, 3.6666666666666665, 5.007843137254901, 
      5.28627450980392, 4.776470588235292, 4.701960784313725, 
      3.599999999999999, 3.8313725490196058, 5.694117647058822, 
      8.121568627450978, 10.815686274509803, 12.650980392156862, 
      13.266666666666664, 14.27843137254902, 15.784313725490195, 
      17.223529411764705, 16.839215686274507, 18.533333333333335, 
      18.341176470588234, 19.08235294117647, 18.827450980392154, 
      16.749019607843138, 18.01960784313725, 16.40392156862745, 
      15.054901960784314, 14.372549019607838, 13.474509803921565, 
      11.764705882352933, 8.349019607843134, 5.8901960784313685, 
      4.603921568627448, 4.509803921568624, 5.117647058823525, 
      5.078431372549017, 4.909803921568624, 4.5254901960784295, 
      3.6235294117647037, 2.7686274509803908, 2.690196078431371, 
      1.63921568627451, 0.8196078431372551, 0.30588235294117644, 
      0.2549019607843137, 0.050980392156862744, 0, 0, 0, 0}, 
     {0, 0, 0, 0, 0.15294117647058825, 0.43921568627450974, 
      1.1098039215686275, 1.9568627450980394, 2.537254901960784, 
      3.3450980392156855, 4.066666666666666, 4.749019607843136, 
      4.643137254901959, 5.262745098039215, 4.694117647058822, 
      3.741176470588234, 3.8823529411764692, 3.6352941176470575, 
      5.756862745098037, 8.054901960784312, 11.760784313725487, 
      12.478431372549018, 12.815686274509801, 15.443137254901961, 
      15.752941176470587, 17.886274509803922, 16.84705882352941, 
      19.101960784313725, 19.24705882352941, 19.223529411764705, 
      18.992156862745098, 17.19607843137255, 18.78823529411764, 
      16.31764705882353, 15.99607843137255, 14.207843137254896, 
      13.50196078431372, 12.662745098039208, 8.470588235294114, 
      6.098039215686271, 4.84705882352941, 4.725490196078428, 
      4.149019607843135, 5.286274509803919, 5.137254901960781, 
      4.215686274509802, 4.203921568627449, 3.415686274509803, 
      2.8627450980392144, 2.3686274509803913, 1.3607843137254902, 
      0.6745098039215687, 0.35686274509803917, 0.15294117647058825, 0, 0, 0, 
      0}, {0, 0, 0, 0.10196078431372549, 0.20392156862745098, 
      0.6039215686274509, 1.3411764705882354, 2.36078431372549, 
      2.6078431372549016, 3.5803921568627444, 4.149019607843138, 
      4.427450980392157, 4.682352941176469, 5.180392156862744, 
      3.8627450980392135, 3.8274509803921553, 3.403921568627449, 
      2.960784313725489, 4.992156862745095, 8.235294117647056, 
      11.137254901960782, 12.184313725490194, 13.729411764705878, 
      16.211764705882352, 17.031372549019608, 17.011764705882353, 
      18.972549019607843, 20.047058823529415, 20.066666666666666, 
      20.588235294117645, 20.44705882352941, 19.31764705882353, 
      18.113725490196078, 17.952941176470585, 17.376470588235293, 
      15.349019607843132, 13.262745098039213, 11.956862745098032, 
      8.713725490196076, 4.988235294117644, 4.027450980392154, 
      4.623529411764703, 3.752941176470586, 4.674509803921566, 
      5.25098039215686, 4.599999999999998, 3.996078431372547, 
      3.752941176470587, 2.8745098039215673, 2.7647058823529402, 
      1.9098039215686275, 0.8941176470588237, 0.37647058823529406, 
      0.20392156862745098, 0.10196078431372549, 0, 0, 0}, 
     {0, 0, 0.050980392156862744, 0.10196078431372549, 0.38823529411764707, 
      1.007843137254902, 2.2352941176470584, 2.6117647058823525, 
      2.0352941176470587, 4.337254901960784, 4.380392156862745, 
      5.419607843137253, 4.517647058823528, 4.156862745098038, 
      4.776470588235291, 3.1607843137254883, 3.431372549019606, 
      3.3058823529411745, 5.658823529411762, 8.741176470588233, 
      10.4156862745098, 12.823529411764703, 13.278431372549019, 
      14.84705882352941, 15.721568627450978, 16.89019607843137, 
      19.768627450980397, 19.094117647058823, 18.77254901960784, 
      18.89019607843137, 19.145098039215682, 20.458823529411763, 
      17.84313725490196, 16.85882352941176, 15.803921568627448, 
      14.662745098039213, 13.866666666666662, 11.835294117647054, 
      9.419607843137253, 5.584313725490193, 4.352941176470585, 
      4.4196078431372525, 3.8901960784313703, 4.474509803921566, 
      4.031372549019605, 4.631372549019606, 5.121568627450979, 
      4.211764705882352, 3.466666666666665, 2.180392156862745, 
      2.3686274509803913, 1.796078431372549, 0.5725490196078431, 
      0.30588235294117644, 0.10196078431372549, 0.050980392156862744, 0, 0}, 
     {0, 0, 0.050980392156862744, 0.20392156862745098, 0.6549019607843137, 
      1.7450980392156865, 2.705882352941176, 2.8078431372549013, 
      3.1490196078431363, 3.7882352941176465, 3.6039215686274497, 
      4.313725490196078, 4.254901960784312, 4.3019607843137235, 
      4.160784313725489, 4.015686274509803, 2.72549019607843, 
      3.5450980392156843, 5.172549019607842, 8.76862745098039, 
      9.819607843137254, 10.466666666666663, 13.49411764705882, 
      13.286274509803919, 15.929411764705879, 18.180392156862744, 
      19.419607843137253, 19.729411764705883, 20.32941176470588, 
      20.32156862745098, 19.831372549019605, 19.945098039215686, 
      18.698039215686272, 16.992156862745095, 14.262745098039213, 
      14.439215686274508, 11.466666666666661, 11.058823529411761, 
      10.027450980392155, 5.921568627450978, 4.4235294117647035, 
      4.466666666666664, 3.909803921568625, 4.247058823529409, 
      4.521568627450978, 4.223529411764703, 4.466666666666665, 
      3.4156862745098024, 3.4705882352941164, 2.811764705882352, 
      2.7843137254901955, 2.003921568627451, 1.3294117647058825, 
      0.4274509803921568, 0.20392156862745098, 0.050980392156862744, 0, 0}, 
     {0, 0.050980392156862744, 0.15294117647058825, 0.38823529411764707, 
      1.0274509803921568, 2.109803921568627, 2.819607843137254, 
      2.5999999999999996, 4.168627450980392, 4.431372549019608, 
      4.023529411764705, 4.439215686274509, 4.329411764705881, 
      3.2509803921568605, 4.105882352941175, 2.599999999999998, 
      2.909803921568625, 2.8705882352941154, 4.976470588235292, 
      7.596078431372545, 9.384313725490193, 11.901960784313722, 
      14.509803921568626, 14.313725490196077, 17.635294117647057, 
      18.850980392156867, 19.784313725490197, 20.70196078431373, 
      21.447058823529414, 21.917647058823533, 21.141176470588235, 
      20.384313725490195, 19.99607843137255, 18.435294117647057, 
      15.431372549019606, 15.988235294117645, 12.599999999999996, 
      10.729411764705878, 8.301960784313723, 5.576470588235292, 
      3.603921568627449, 3.7647058823529393, 3.1803921568627436, 
      3.84705882352941, 3.427450980392155, 4.537254901960782, 
      4.207843137254901, 3.905882352941175, 4.094117647058822, 
      3.6431372549019594, 2.8156862745098032, 2.4509803921568625, 
      1.5450980392156863, 0.7686274509803923, 0.30588235294117644, 
      0.15294117647058825, 0.050980392156862744, 0}, 
     {0, 0.050980392156862744, 0.15294117647058825, 0.49019607843137253, 
      0.8941176470588237, 2.36078431372549, 2.341176470588235, 
      2.254901960784313, 3.6196078431372545, 4.04313725490196, 
      5.015686274509803, 4.44705882352941, 4.462745098039214, 
      4.050980392156861, 3.6431372549019585, 3.7803921568627428, 
      2.521568627450979, 3.4509803921568603, 5.250980392156859, 
      6.7803921568627405, 9.882352941176467, 11.827450980392154, 
      13.941176470588234, 15.454901960784309, 16.125490196078427, 
      18.137254901960784, 19.490196078431374, 17.321568627450976, 
      18.73725490196078, 18.435294117647057, 17.960784313725487, 
      19.95294117647059, 19.176470588235297, 17.4078431372549, 
      16.905882352941177, 15.188235294117646, 12.917647058823524, 
      11.580392156862741, 7.278431372549018, 5.878431372549017, 
      4.352941176470586, 3.7529411764705864, 4.2901960784313715, 
      3.623529411764704, 4.0078431372549, 4.419607843137253, 
      4.498039215686273, 4.88627450980392, 3.6470588235294104, 
      3.282352941176469, 2.0235294117647062, 2.4431372549019605, 
      1.9843137254901961, 0.7176470588235295, 0.37647058823529406, 
      0.15294117647058825, 0.050980392156862744, 0}, 
     {0, 0.050980392156862744, 0.2549019607843137, 0.38823529411764707, 
      1.623529411764706, 2.2588235294117642, 2.207843137254902, 
      3.396078431372548, 2.88235294117647, 5.043137254901959, 
      4.219607843137253, 4.509803921568626, 5.215686274509802, 
      3.309803921568625, 4.545098039215684, 3.1411764705882326, 
      2.866666666666665, 3.5529411764705845, 4.819607843137252, 
      9.043137254901955, 7.956862745098035, 13.611764705882353, 
      12.65490196078431, 15.513725490196073, 18.199999999999992, 
      14.231372549019602, 20.94901960784314, 14.93725490196078, 
      20.87843137254902, 20.549019607843135, 15.780392156862744, 
      21.650980392156864, 14.831372549019605, 19.501960784313727, 
      16.203921568627447, 14.443137254901961, 15.215686274509803, 
      9.16078431372549, 10.588235294117643, 5.858823529411762, 
      4.505882352941176, 4.12941176470588, 3.211764705882352, 
      4.501960784313723, 3.0470588235294103, 5.372549019607842, 
      4.498039215686273, 3.9568627450980376, 4.925490196078429, 
      2.796078431372548, 3.2274509803921556, 2.007843137254902, 
      1.9333333333333333, 1.3607843137254902, 0.2745098039215686, 
      0.2549019607843137, 0.050980392156862744, 0}, 
     {0, 0.10196078431372549, 0.2549019607843137, 0.8117647058823529, 
      1.7254901960784317, 1.5803921568627453, 2.2705882352941167, 
      2.9411764705882346, 3.7450980392156854, 4.890196078431371, 
      3.85098039215686, 4.470588235294116, 4.270588235294116, 
      4.019607843137252, 4.392156862745096, 3.6235294117647032, 
      3.0745098039215657, 2.7450980392156836, 5.819607843137251, 
      8.33725490196078, 9.317647058823525, 13.164705882352939, 
      12.882352941176467, 15.458823529411758, 15.992156862745096, 
      17.54117647058823, 19.690196078431374, 17.811764705882347, 
      17.862745098039213, 18.313725490196077, 18.55294117647059, 
      20.23137254901961, 18.40392156862745, 16.749019607843138, 
      16.76862745098039, 13.713725490196076, 15.309803921568628, 
      10.839215686274507, 9.631372549019606, 6.941176470588232, 
      3.7294117647058806, 3.647058823529411, 4.105882352941175, 
      4.141176470588234, 4.360784313725489, 3.949019607843135, 
      4.811764705882352, 3.619607843137253, 4.772549019607841, 
      3.6784313725490185, 2.678431372549018, 2.337254901960784, 
      1.3215686274509806, 1.411764705882353, 0.6666666666666667, 
      0.2549019607843137, 0.10196078431372549, 0}, {0, 0.15294117647058825, 
      0.15294117647058825, 0.8117647058823529, 1.7254901960784317, 
      2.129411764705882, 2.8627450980392153, 3.0431372549019597, 
      3.9294117647058817, 4.309803921568626, 4.145098039215684, 
      4.066666666666665, 3.8549019607843116, 3.823529411764703, 
      3.184313725490193, 3.9058823529411733, 2.9294117647058795, 
      3.49411764705882, 6.094117647058819, 7.192156862745093, 
      10.082352941176467, 11.192156862745094, 13.725490196078425, 
      15.003921568627446, 14.874509803921564, 17.50196078431372, 
      17.09019607843137, 18.419607843137253, 19.125490196078427, 
      19.643137254901962, 18.58823529411765, 18.44313725490196, 
      18.57254901960784, 15.694117647058821, 16.584313725490194, 
      14.670588235294117, 12.678431372549017, 11.568627450980388, 
      8.192156862745097, 7.458823529411762, 4.674509803921567, 
      3.6588235294117633, 3.7999999999999994, 3.72549019607843, 
      3.7999999999999985, 3.917647058823528, 3.847058823529411, 
      4.090196078431371, 3.84705882352941, 3.7803921568627437, 
      2.823529411764705, 2.784313725490196, 2.0784313725490193, 
      1.411764705882353, 0.6666666666666667, 0.15294117647058825, 
      0.15294117647058825, 0}, {0, 0.15294117647058825, 0.20392156862745098, 
      0.4078431372549019, 1.5529411764705885, 1.6509803921568629, 
      2.2509803921568623, 2.6078431372549007, 3.2941176470588225, 
      3.9019607843137236, 4.635294117647057, 3.9843137254901935, 
      4.231372549019605, 4.258823529411761, 3.8352941176470554, 
      4.125490196078428, 2.847058823529409, 3.678431372549015, 
      5.29803921568627, 7.999999999999995, 10.05882352941176, 
      13.035294117647052, 14.776470588235286, 15.941176470588228, 
      17.564705882352936, 19.239215686274513, 19.95294117647059, 
      20.596078431372547, 21.96078431372549, 22.019607843137255, 
      20.9843137254902, 21.317647058823532, 20.34509803921569, 
      18.764705882352946, 17.027450980392157, 16.545098039215684, 
      15.090196078431372, 11.796078431372548, 9.152941176470586, 
      7.152941176470586, 4.858823529411764, 3.7960784313725484, 
      4.074509803921568, 4.470588235294116, 3.6392156862745084, 
      4.6274509803921555, 3.952941176470588, 4.517647058823528, 
      3.917647058823528, 3.0745098039215675, 2.48235294117647, 
      2.129411764705882, 1.5803921568627453, 1.1647058823529413, 
      0.41960784313725485, 0.20392156862745098, 0.15294117647058825, 0}, 
     {0, 0.10196078431372549, 0.2549019607843137, 0.5098039215686274, 
      1.6039215686274513, 2.505882352941176, 2.7254901960784306, 
      3.0627450980392146, 4.04313725490196, 4.054901960784312, 
      4.5215686274509785, 4.929411764705879, 4.262745098039213, 
      4.454901960784311, 4.117647058823527, 3.811764705882349, 
      3.1490196078431336, 3.494117647058819, 4.623529411764702, 
      7.8039215686274455, 9.168627450980388, 12.415686274509799, 
      12.603921568627444, 15.572549019607838, 15.46274509803921, 17.4, 
      17.399999999999995, 17.713725490196076, 17.50196078431372, 
      17.588235294117645, 18.282352941176473, 18.49019607843137, 
      18.035294117647062, 16.988235294117644, 16.23921568627451, 
      14.341176470588234, 14.129411764705882, 10.796078431372546, 
      9.501960784313724, 6.341176470588233, 3.9529411764705875, 
      4.109803921568627, 3.729411764705881, 4.3999999999999995, 
      4.576470588235293, 4.470588235294116, 4.709803921568627, 
      4.184313725490195, 4.0705882352941165, 3.6549019607843123, 
      2.9686274509803914, 2.929411764705882, 2.2235294117647055, 
      1.215686274509804, 0.5215686274509803, 0.2549019607843137, 
      0.10196078431372549, 0}, {0, 0.10196078431372549, 0.20392156862745098, 
      0.5098039215686274, 1.6039215686274513, 2.5372549019607837, 
      2.423529411764705, 2.698039215686273, 3.3647058823529394, 
      4.450980392156861, 4.560784313725488, 4.596078431372547, 
      4.635294117647056, 4.098039215686271, 4.356862745098036, 
      3.97647058823529, 3.701960784313721, 3.17647058823529, 
      4.858823529411762, 7.305882352941172, 9.419607843137252, 
      12.164705882352935, 13.611764705882345, 14.215686274509796, 
      15.45098039215686, 16.282352941176466, 16.807843137254903, 
      17.662745098039213, 18.462745098039218, 18.47058823529412, 
      18.19607843137255, 17.333333333333332, 17.192156862745097, 
      16.698039215686272, 15.227450980392156, 15.019607843137251, 
      14.113725490196076, 11.45490196078431, 9.035294117647059, 
      6.933333333333331, 4.545098039215685, 4.074509803921568, 
      3.862745098039215, 4.458823529411764, 4.32549019607843, 
      4.435294117647057, 4.690196078431372, 4.266666666666666, 
      4.007843137254901, 3.4784313725490184, 2.729411764705882, 
      2.533333333333333, 2.274509803921568, 1.215686274509804, 
      0.5215686274509803, 0.20392156862745098, 0.10196078431372549, 0}, 
     {0, 0.050980392156862744, 0.20392156862745098, 0.5607843137254903, 
      1.3803921568627453, 1.5803921568627453, 2.505882352941175, 
      3.5490196078431357, 3.756862745098037, 3.4941176470588218, 
      4.294117647058822, 5.364705882352939, 4.360784313725486, 
      3.619607843137251, 4.3176470588235265, 4.752941176470585, 
      4.607843137254897, 3.1843137254901923, 3.925490196078428, 
      6.705882352941173, 11.054901960784308, 11.02745098039215, 
      11.203921568627447, 13.874509803921562, 18.054901960784314, 
      16.854901960784314, 13.850980392156861, 16.760784313725487, 
      20.11764705882353, 20.482352941176472, 17.250980392156862, 
      14.145098039215684, 17.6, 19.160784313725493, 15.035294117647057, 
      12.396078431372548, 12.827450980392156, 13.317647058823528, 
      8.60392156862745, 5.56862745098039, 4.415686274509803, 
      4.835294117647058, 4.552941176470587, 3.847058823529411, 
      3.898039215686273, 4.356862745098038, 5.301960784313724, 
      4.113725490196078, 3.384313725490195, 3.631372549019607, 
      3.192156862745098, 2.6470588235294112, 1.643137254901961, 
      1.2666666666666668, 0.5725490196078431, 0.20392156862745098, 
      0.050980392156862744, 0}, {0, 0.050980392156862744, 
      0.20392156862745098, 0.35686274509803917, 1.2156862745098043, 
      1.9960784313725493, 2.7333333333333316, 2.541176470588234, 
      3.643137254901959, 4.7411764705882335, 5.062745098039214, 
      4.9999999999999964, 4.623529411764702, 4.509803921568623, 
      4.4470588235294075, 4.721568627450975, 4.2313725490196035, 
      3.5215686274509754, 4.678431372549016, 7.290196078431369, 
      9.05882352941176, 10.843137254901958, 13.443137254901956, 
      14.227450980392153, 14.807843137254897, 15.694117647058825, 
      17.44705882352941, 17.16862745098039, 18.129411764705885, 
      18.07450980392157, 17.811764705882354, 17.901960784313726, 
      16.427450980392155, 16.14901960784314, 15.999999999999998, 
      14.537254901960784, 12.505882352941173, 11.427450980392157, 
      9.403921568627451, 7.1882352941176455, 4.2, 4.0627450980392155, 
      4.803921568627451, 4.341176470588235, 4.717647058823529, 
      4.619607843137254, 4.874509803921567, 4.745098039215685, 
      4.474509803921569, 3.5490196078431366, 2.6549019607843136, 
      2.5529411764705876, 2.0274509803921568, 1.215686274509804, 
      0.3254901960784313, 0.20392156862745098, 0.050980392156862744, 0}, 
     {0, 0, 0.10196078431372549, 0.35686274509803917, 0.9137254901960785, 
      1.9215686274509807, 2.3176470588235283, 3.1333333333333315, 
      3.1843137254901936, 4.796078431372546, 4.592156862745096, 
      5.152941176470584, 4.592156862745094, 5.215686274509799, 
      4.384313725490191, 4.654901960784309, 4.298039215686271, 
      3.823529411764701, 4.596078431372546, 6.7725490196078395, 
      9.525490196078426, 10.254901960784311, 13.035294117647055, 
      12.866666666666664, 16.411764705882355, 15.039215686274506, 
      17.509803921568626, 16.56470588235294, 18.47843137254902, 
      18.254901960784313, 16.81176470588235, 18.129411764705882, 
      15.615686274509804, 17.49019607843137, 14.45098039215686, 
      14.984313725490194, 12.101960784313723, 11.635294117647057, 
      8.749019607843136, 7.137254901960782, 4.752941176470587, 
      4.2784313725490195, 4.537254901960783, 3.901960784313725, 
      5.149019607843136, 4.901960784313725, 4.88235294117647, 
      4.105882352941176, 4.7294117647058815, 3.1843137254901954, 
      2.972549019607843, 2.2313725490196075, 1.8274509803921568, 
      0.8509803921568627, 0.3254901960784313, 0.10196078431372549, 0, 0}, 
     {0, 0, 0.050980392156862744, 0.2549019607843137, 0.4784313725490196, 
      1.494117647058824, 2.376470588235293, 2.7607843137254884, 
      3.2117647058823504, 4.49411764705882, 4.721568627450977, 
      5.039215686274506, 5.199999999999995, 4.9176470588235235, 
      4.207843137254898, 4.3490196078431325, 4.047058823529407, 
      4.058823529411761, 4.349019607843134, 6.345098039215683, 
      8.392156862745093, 10.65882352941176, 13.14117647058823, 
      13.505882352941173, 14.329411764705883, 15.141176470588233, 
      16.149019607843137, 17.372549019607842, 17.40392156862745, 
      17.43137254901961, 17.788235294117644, 16.733333333333334, 
      15.772549019607842, 14.96470588235294, 14.839215686274507, 
      14.537254901960782, 12.64313725490196, 10.52156862745098, 
      8.615686274509802, 6.733333333333332, 4.317647058823529, 
      4.203921568627451, 4.388235294117647, 3.9137254901960774, 
      4.8313725490196076, 5.1647058823529415, 5.058823529411764, 
      4.694117647058824, 4.125490196078431, 2.9725490196078432, 
      2.88235294117647, 2.3960784313725485, 1.5568627450980392, 
      0.5725490196078432, 0.2549019607843137, 0.050980392156862744, 0, 0}, 
     {0, 0, 0, 0.15294117647058825, 0.45882352941176463, 1.0156862745098043, 
      1.7215686274509807, 2.5529411764705867, 2.756862745098037, 
      3.9999999999999964, 5.188235294117644, 5.764705882352937, 
      5.749019607843133, 5.207843137254897, 4.635294117647054, 
      3.9372549019607797, 3.686274509803918, 3.7882352941176434, 
      4.286274509803919, 7.16862745098039, 9.756862745098035, 
      11.717647058823525, 12.937254901960781, 13.192156862745096, 
      13.552941176470586, 14.674509803921568, 15.784313725490197, 
      17.988235294117647, 18.99607843137255, 19.06666666666667, 
      18.274509803921568, 16.32156862745098, 15.584313725490196, 
      13.905882352941173, 14.04705882352941, 14.756862745098038, 
      13.901960784313726, 12.368627450980394, 10.839215686274509, 
      7.023529411764704, 3.776470588235293, 3.780392156862745, 
      3.725490196078431, 4.266666666666667, 5.3803921568627455, 
      5.686274509803921, 5.509803921568627, 4.972549019607843, 
      3.9686274509803923, 2.6392156862745098, 2.4784313725490192, 
      1.8352941176470587, 0.984313725490196, 0.42745098039215684, 
      0.15294117647058825, 0, 0, 0}, {0, 0, 0, 0, 0.2549019607843137, 
      0.6313725490196079, 1.6470588235294124, 2.7372549019607817, 
      3.1764705882352904, 3.721568627450976, 5.015686274509799, 
      5.529411764705879, 5.835294117647054, 4.952941176470584, 
      4.823529411764701, 3.717647058823525, 3.9137254901960743, 
      3.9333333333333296, 5.203921568627448, 6.69019607843137, 
      9.345098039215683, 9.835294117647058, 11.458823529411763, 
      12.294117647058822, 14.301960784313724, 14.894117647058822, 
      16.27843137254902, 16.905882352941177, 18.22352941176471, 
      18.258823529411764, 17.24313725490196, 16.741176470588236, 
      15.654901960784315, 15.043137254901957, 13.423529411764703, 
      12.866666666666664, 11.654901960784313, 11.68627450980392, 
      10.454901960784314, 6.611764705882352, 4.411764705882352, 
      4.141176470588236, 4.03921568627451, 4.5176470588235285, 
      4.427450980392156, 5.741176470588234, 5.533333333333333, 
      5.137254901960784, 3.6274509803921573, 3.3607843137254902, 
      2.7019607843137257, 1.6274509803921569, 0.807843137254902, 
      0.2549019607843137, 0, 0, 0, 0}, {0, 0, 0, 0, 0.10196078431372549, 
      0.5098039215686274, 1.070588235294118, 2.188235294117647, 
      3.329411764705878, 3.6862745098039165, 4.545098039215682, 
      5.01960784313725, 5.035294117647053, 4.77647058823529, 
      4.835294117647054, 4.53333333333333, 4.372549019607839, 
      4.254901960784311, 4.803921568627448, 5.509803921568624, 
      8.070588235294114, 9.870588235294116, 11.470588235294114, 
      12.96078431372549, 14.12549019607843, 15.533333333333333, 
      16.219607843137254, 16.729411764705883, 17.819607843137256, 
      17.95686274509804, 16.945098039215686, 16.627450980392155, 
      16.23137254901961, 14.666666666666664, 13.93333333333333, 
      12.835294117647058, 11.709803921568627, 10.937254901960783, 
      8.980392156862745, 5.615686274509802, 4.450980392156862, 
      4.286274509803921, 4.498039215686274, 4.749019607843137, 
      4.80392156862745, 4.772549019607844, 4.741176470588235, 
      4.533333333333333, 3.831372549019608, 3.337254901960785, 
      2.2941176470588234, 1.1647058823529413, 0.5098039215686274, 
      0.10196078431372549, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0.2549019607843137, 
      0.9882352941176474, 2.4117647058823524, 3.396078431372544, 
      3.6588235294117593, 3.8745098039215633, 4.329411764705878, 
      4.85490196078431, 5.05882352941176, 5.45490196078431, 4.93333333333333, 
      4.074509803921565, 4.13333333333333, 4.941176470588232, 
      6.149019607843135, 7.603921568627449, 9.435294117647057, 
      11.117647058823527, 13.16078431372549, 14.145098039215684, 
      15.125490196078431, 15.854901960784314, 16.349019607843136, 
      16.662745098039217, 16.839215686274507, 16.623529411764704, 
      16.258823529411764, 15.835294117647056, 15.117647058823527, 
      14.360784313725489, 12.494117647058822, 11.72156862745098, 
      10.647058823529411, 8.72156862745098, 5.823529411764704, 
      4.411764705882353, 4.168627450980392, 4.623529411764705, 
      5.086274509803921, 5.047058823529411, 4.858823529411765, 
      4.462745098039216, 3.780392156862746, 3.8000000000000007, 
      3.4666666666666677, 2.474509803921569, 1.1647058823529413, 
      0.2549019607843137, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 
      0.8666666666666669, 1.8549019607843147, 2.6352941176470575, 
      3.38039215686274, 3.5137254901960735, 4.513725490196074, 
      5.062745098039212, 5.329411764705877, 5.247058823529407, 
      4.713725490196075, 4.345098039215682, 4.247058823529409, 
      5.356862745098037, 6.72549019607843, 8.301960784313724, 
      10.113725490196076, 11.713725490196078, 13.058823529411764, 
      14.043137254901959, 15.023529411764706, 15.803921568627452, 
      16.31764705882353, 16.541176470588233, 16.73725490196078, 
      16.57254901960784, 16.2078431372549, 15.73333333333333, 
      15.0156862745098, 14.258823529411764, 13.266666666666666, 
      12.513725490196078, 11.407843137254902, 9.399999999999999, 
      6.439215686274507, 4.619607843137255, 4.23921568627451, 
      4.6039215686274515, 4.972549019607842, 5.2627450980392165, 
      5.035294117647059, 4.658823529411765, 3.67843137254902, 
      3.439215686274511, 2.8549019607843142, 2.0313725490196086, 
      0.8666666666666669, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 
      0.8666666666666669, 1.784313725490197, 1.8549019607843147, 
      2.6352941176470575, 3.38039215686274, 3.564705882352936, 
      4.513725490196074, 5.062745098039212, 5.329411764705877, 
      5.247058823529407, 4.713725490196075, 4.384313725490193, 
      5.164705882352938, 7.717647058823527, 9.27450980392157, 
      10.372549019607842, 11.827450980392157, 12.862745098039216, 
      13.717647058823529, 14.725490196078432, 15.980392156862745, 
      16.494117647058825, 16.811764705882354, 16.874509803921566, 
      16.717647058823527, 16.32941176470588, 15.81176470588235, 
      15.294117647058822, 14.48235294117647, 13.964705882352943, 
      13.109803921568627, 11.478431372549016, 9.341176470588232, 
      6.8509803921568615, 4.725490196078431, 4.623529411764706, 
      4.972549019607842, 5.2627450980392165, 5.035294117647059, 
      4.658823529411765, 3.7294117647058824, 3.439215686274511, 
      2.8549019607843142, 2.0313725490196086, 1.784313725490197, 
      0.8666666666666669, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 
      0.2549019607843137, 0.9176470588235297, 1.580392156862746, 
      1.9372549019607854, 2.007843137254903, 2.788235294117645, 
      3.7137254901960737, 3.9529411764705835, 5.164705882352937, 
      5.49803921568627, 5.486274509803918, 4.913725490196075, 
      5.074509803921565, 5.498039215686271, 7.674509803921565, 
      8.84705882352941, 9.776470588235291, 11.231372549019607, 
      12.964705882352941, 13.819607843137254, 14.847058823529412, 
      16.011764705882353, 16.545098039215688, 16.91372549019608, 
      16.976470588235294, 16.76862745098039, 16.380392156862744, 
      15.913725490196075, 15.396078431372548, 14.584313725490198, 
      13.1921568627451, 12.31764705882353, 10.717647058823527, 
      8.77647058823529, 6.56862745098039, 5.019607843137255, 
      4.823529411764705, 5.2, 5.3882352941176475, 5.1607843137254905, 
      4.419607843137255, 3.83529411764706, 3.341176470588236, 
      2.2352941176470598, 1.9372549019607854, 1.580392156862746, 
      0.9176470588235297, 0.2549019607843137, 0, 0, 0, 0, 0}, 
     {0, 0, 0, 0, 0.10196078431372549, 0.5098039215686274, 
      0.9176470588235297, 1.2235294117647064, 1.6823529411764715, 
      1.9372549019607854, 2.121568627450981, 3.447058823529407, 
      3.74117647058823, 4.639215686274505, 5.278431372549015, 
      6.235294117647054, 5.839215686274507, 5.513725490196075, 
      5.266666666666664, 7.349019607843133, 8.88627450980392, 
      10.274509803921566, 11.749019607843136, 12.996078431372547, 
      14.05098039215686, 15.419607843137255, 16.58823529411765, 
      17.211764705882352, 18.36862745098039, 18.40392156862745, 
      17.376470588235293, 16.882352941176467, 16.41176470588235, 
      14.83529411764706, 14.329411764705883, 13.933333333333335, 
      12.188235294117645, 11.16862745098039, 8.886274509803917, 
      6.372549019607841, 5.086274509803922, 5.635294117647058, 
      6.231372549019608, 5.541176470588235, 4.803921568627452, 
      3.8117647058823536, 3.8627450980392166, 2.7254901960784323, 
      2.0196078431372557, 1.6823529411764715, 1.2235294117647064, 
      0.9176470588235297, 0.5098039215686274, 0.10196078431372549, 0, 0, 0, 
      0}, {0, 0, 0, 0, 0.2549019607843137, 0.5607843137254902, 
      0.8156862745098041, 1.1725490196078436, 1.5294117647058831, 
      1.7333333333333343, 1.9372549019607854, 2.1725490196078434, 
      3.8313725490196022, 4.054901960784309, 5.584313725490191, 
      6.529411764705879, 6.882352941176467, 5.909803921568624, 
      5.890196078431368, 8.101960784313723, 9.80392156862745, 
      10.823529411764703, 12.760784313725487, 12.525490196078431, 
      14.333333333333334, 14.819607843137254, 16.807843137254906, 
      17.294117647058826, 18.89803921568627, 18.73333333333333, 
      16.976470588235294, 17.254901960784313, 15.858823529411763, 
      15.584313725490196, 14.498039215686276, 14.772549019607846, 
      13.33333333333333, 11.97647058823529, 9.815686274509801, 
      7.8470588235294105, 5.909803921568627, 6.070588235294117, 
      6.52156862745098, 6.2705882352941185, 4.415686274509804, 
      4.172549019607843, 2.6941176470588246, 2.0196078431372557, 
      1.7333333333333343, 1.5294117647058831, 1.1725490196078436, 
      0.8156862745098041, 0.5607843137254902, 0.2549019607843137, 0, 0, 0, 
      0}, {0, 0, 0, 0.15294117647058825, 0.4078431372549019, 
      0.611764705882353, 0.7647058823529413, 0.9686274509803925, 
      1.1725490196078436, 1.4784313725490204, 1.784313725490197, 
      2.039215686274511, 2.3764705882352937, 4.0156862745097985, 
      4.635294117647054, 5.8901960784313685, 6.164705882352938, 
      6.184313725490193, 6.423529411764702, 9.003921568627447, 
      12.011764705882348, 13.270588235294113, 14.552941176470588, 
      13.878431372549022, 13.498039215686275, 14.81176470588235, 
      16.462745098039218, 18.419607843137253, 19.290196078431375, 
      19.380392156862744, 18.592156862745103, 17.04313725490196, 
      15.925490196078432, 15.019607843137255, 15.647058823529415, 
      16.27058823529412, 15.482352941176467, 13.470588235294114, 
      10.929411764705877, 7.929411764705881, 6.035294117647059, 
      6.180392156862745, 6.552941176470588, 5.247058823529413, 
      4.576470588235296, 2.980392156862746, 2.121568627450981, 
      1.784313725490197, 1.4784313725490204, 1.1725490196078436, 
      0.9686274509803925, 0.7647058823529413, 0.611764705882353, 
      0.4078431372549019, 0.15294117647058825, 0, 0, 0}, 
     {0, 0, 0.050980392156862744, 0.2549019607843137, 0.4078431372549019, 
      0.6627450980392158, 0.8666666666666669, 1.0196078431372553, 
      1.2235294117647064, 1.4784313725490204, 1.6823529411764715, 
      1.784313725490197, 2.039215686274511, 2.576470588235293, 
      3.5058823529411716, 4.623529411764701, 6.247058823529408, 
      7.298039215686271, 7.427450980392154, 9.129411764705878, 
      11.156862745098035, 13.070588235294116, 14.184313725490194, 
      15.349019607843138, 14.72156862745098, 15.47843137254902, 
      16.909803921568624, 17.866666666666664, 17.643137254901962, 
      18.11764705882353, 18.07058823529412, 17.317647058823532, 
      16.71372549019608, 17.12549019607843, 16.96078431372549, 
      16.494117647058825, 14.431372549019603, 11.929411764705879, 
      10.415686274509802, 8.690196078431372, 7.137254901960784, 
      6.792156862745098, 5.203921568627451, 3.9960784313725495, 
      3.211764705882354, 2.121568627450981, 1.784313725490197, 
      1.6823529411764715, 1.4784313725490204, 1.2235294117647064, 
      1.0196078431372553, 0.8666666666666669, 0.6627450980392158, 
      0.4078431372549019, 0.2549019607843137, 0.050980392156862744, 0, 0}, 
     {0, 0, 0.10196078431372549, 0.30588235294117644, 0.45882352941176463, 
      0.6627450980392158, 0.7647058823529413, 1.1215686274509808, 
      1.1215686274509808, 1.4784313725490204, 1.4274509803921576, 
      1.7333333333333343, 1.7333333333333343, 2.1921568627450987, 
      2.294117647058824, 4.521568627450974, 4.427450980392152, 
      6.803921568627447, 7.290196078431368, 9.921568627450977, 
      13.431372549019603, 13.062745098039214, 14.788235294117644, 
      14.501960784313729, 18.047058823529415, 15.466666666666669, 
      18.262745098039215, 16.819607843137256, 18.737254901960785, 
      18.85882352941177, 17.211764705882356, 19.298039215686277, 
      17.192156862745097, 19.79607843137255, 16.47058823529412, 
      17.082352941176467, 14.0235294117647, 13.827450980392156, 
      11.235294117647058, 9.207843137254903, 7.8352941176470585, 
      5.070588235294118, 5.207843137254903, 2.8784313725490205, 
      2.274509803921569, 1.7333333333333343, 1.7333333333333343, 
      1.4274509803921576, 1.4784313725490204, 1.1215686274509808, 
      1.1215686274509808, 0.7647058823529413, 0.6627450980392158, 
      0.45882352941176463, 0.30588235294117644, 0.10196078431372549, 0, 0}, 
     {0, 0.050980392156862744, 0.20392156862745098, 0.30588235294117644, 
      0.5098039215686274, 0.611764705882353, 0.8666666666666669, 
      0.9176470588235297, 1.1215686274509808, 1.2745098039215692, 
      1.3764705882352948, 1.580392156862746, 1.7333333333333343, 
      1.9568627450980403, 2.039215686274511, 2.478431372549019, 
      4.105882352941171, 5.360784313725485, 7.352941176470584, 
      11.462745098039212, 14.764705882352935, 14.541176470588233, 
      15.49019607843137, 15.756862745098038, 16.58823529411765, 
      16.780392156862742, 18.24313725490196, 18.027450980392157, 
      19.1843137254902, 19.105882352941183, 18.85882352941177, 
      19.305882352941175, 18.372549019607842, 18.701960784313723, 
      18.278431372549022, 17.46666666666666, 15.06274509803921, 
      14.639215686274508, 13.568627450980394, 9.52941176470588, 
      6.415686274509804, 5.043137254901962, 3.4156862745098047, 
      2.039215686274511, 1.9372549019607854, 1.7333333333333343, 
      1.580392156862746, 1.3764705882352948, 1.2745098039215692, 
      1.1215686274509808, 0.9176470588235297, 0.8666666666666669, 
      0.611764705882353, 0.5098039215686274, 0.30588235294117644, 
      0.20392156862745098, 0.050980392156862744, 0}, 
     {0, 0.050980392156862744, 0.20392156862745098, 0.4078431372549019, 
      0.5607843137254902, 0.5607843137254902, 0.8156862745098041, 
      1.1215686274509808, 1.1725490196078436, 1.070588235294118, 
      1.1725490196078436, 1.580392156862746, 1.784313725490197, 
      1.7019607843137263, 1.7333333333333343, 2.1921568627450987, 
      2.7333333333333316, 4.392156862745092, 5.0039215686274465, 
      9.823529411764703, 17.72156862745097, 17.721568627450978, 
      14.011764705882355, 14.898039215686275, 19.564705882352943, 
      19.529411764705884, 15.392156862745097, 17.56862745098039, 
      20.764705882352946, 20.854901960784318, 18.003921568627455, 
      16.156862745098042, 20.85882352941176, 22.200000000000003, 
      17.454901960784312, 14.721568627450976, 16.835294117647052, 
      18.44705882352941, 12.76862745098039, 7.211764705882353, 
      5.7098039215686285, 3.5960784313725496, 2.1921568627450987, 
      1.7333333333333343, 1.6823529411764715, 1.784313725490197, 
      1.580392156862746, 1.1725490196078436, 1.070588235294118, 
      1.1725490196078436, 1.1215686274509808, 0.8156862745098041, 
      0.5607843137254902, 0.5607843137254902, 0.4078431372549019, 
      0.20392156862745098, 0.050980392156862744, 0}, 
     {0, 0.10196078431372549, 0.20392156862745098, 0.35686274509803917, 
      0.5098039215686274, 0.7137254901960786, 0.7647058823529413, 
      0.9176470588235297, 1.0196078431372553, 1.1725490196078436, 
      1.325490196078432, 1.4274509803921576, 1.6000000000000008, 
      1.7529411764705891, 1.8862745098039226, 1.9372549019607854, 
      2.0901960784313736, 2.3843137254901956, 4.211764705882348, 
      9.435294117647056, 14.792156862745093, 19.47058823529412, 
      19.227450980392163, 17.08627450980392, 17.49019607843137, 
      18.717647058823527, 19.266666666666666, 18.988235294117647, 
      18.368627450980394, 18.564705882352946, 20.399999999999995, 20.2, 
      20.75686274509804, 20.50980392156863, 18.77254901960784, 
      18.654901960784315, 18.25490196078431, 16.627450980392155, 
      13.231372549019607, 7.349019607843138, 3.3882352941176475, 
      2.0901960784313736, 1.9372549019607854, 1.8862745098039226, 
      1.7333333333333343, 1.580392156862746, 1.4274509803921576, 
      1.325490196078432, 1.1725490196078436, 1.0196078431372553, 
      0.9176470588235297, 0.7647058823529413, 0.7137254901960786, 
      0.5098039215686274, 0.35686274509803917, 0.20392156862745098, 
      0.10196078431372549, 0}, {0, 0.10196078431372549, 0.2549019607843137, 
      0.35686274509803917, 0.5098039215686274, 0.6627450980392158, 
      0.7647058823529413, 0.9176470588235297, 1.070588235294118, 
      1.1725490196078436, 1.2235294117647064, 1.4274509803921576, 
      1.4980392156862752, 1.6823529411764715, 1.784313725490197, 
      1.8352941176470599, 2.039215686274511, 2.1921568627450987, 
      2.5254901960784313, 6.023529411764703, 13.384313725490191, 
      19.733333333333334, 20.960784313725494, 19.400000000000002, 
      18.08235294117647, 19.572549019607845, 20.68235294117647, 
      19.643137254901966, 18.705882352941178, 19.101960784313725, 
      20.71372549019608, 21.85490196078431, 22.152941176470588, 
      20.788235294117648, 19.933333333333334, 18.858823529411765, 
      20.30196078431372, 17.031372549019604, 10.941176470588234, 
      4.643137254901959, 2.231372549019608, 2.039215686274511, 
      1.8352941176470599, 1.784313725490197, 1.6823529411764715, 
      1.4784313725490204, 1.4274509803921576, 1.2235294117647064, 
      1.1725490196078436, 1.070588235294118, 0.9176470588235297, 
      0.7647058823529413, 0.6627450980392158, 0.5098039215686274, 
      0.35686274509803917, 0.2549019607843137, 0.10196078431372549, 0}, 
     {0, 0.15294117647058825, 0.20392156862745098, 0.2549019607843137, 
      0.45882352941176463, 0.5607843137254902, 0.6627450980392158, 
      0.7647058823529413, 0.9176470588235297, 1.0196078431372553, 
      1.2235294117647064, 1.2745098039215692, 1.4470588235294124, 
      1.6313725490196087, 1.8352941176470599, 1.8352941176470599, 
      2.039215686274511, 2.2627450980392165, 2.4156862745098033, 
      4.756862745098037, 10.564705882352937, 18.67450980392157, 
      24.85882352941177, 23.529411764705884, 20.81176470588235, 
      21.898039215686275, 23.498039215686283, 23.768627450980404, 
      23.882352941176475, 24.584313725490198, 25.031372549019608, 
      25.658823529411766, 25.470588235294127, 23.65490196078432, 
      22.396078431372544, 24.152941176470577, 22.50196078431372, 
      15.098039215686276, 8.011764705882351, 3.705882352941172, 
      2.3019607843137253, 2.039215686274511, 1.8352941176470599, 
      1.8352941176470599, 1.6313725490196087, 1.4274509803921576, 
      1.2745098039215692, 1.2235294117647064, 1.0196078431372553, 
      0.9176470588235297, 0.7647058823529413, 0.6627450980392158, 
      0.5607843137254902, 0.45882352941176463, 0.2549019607843137, 
      0.20392156862745098, 0.15294117647058825, 0}, 
     {0, 0.15294117647058825, 0.15294117647058825, 0.35686274509803917, 
      0.5607843137254902, 0.6627450980392158, 0.7137254901960786, 
      0.8666666666666669, 1.0196078431372553, 0.9686274509803925, 
      1.2235294117647064, 1.3764705882352948, 1.4470588235294124, 
      1.5294117647058831, 1.580392156862746, 1.8352941176470599, 
      1.7333333333333343, 2.058823529411766, 2.3960784313725485, 
      4.066666666666666, 8.654901960784313, 12.027450980392153, 
      20.08627450980393, 24.47843137254902, 20.09411764705882, 
      19.152941176470584, 18.91372549019608, 21.800000000000004, 
      22.54117647058823, 22.192156862745094, 23.066666666666663, 
      21.91764705882353, 23.694117647058835, 20.75686274509803, 
      22.76470588235293, 23.207843137254898, 16.443137254901963, 
      11.019607843137253, 6.29411764705882, 3.8039215686274477, 
      2.11764705882353, 1.7333333333333343, 1.8352941176470599, 
      1.580392156862746, 1.5294117647058831, 1.4274509803921576, 
      1.3764705882352948, 1.2235294117647064, 0.9686274509803925, 
      1.0196078431372553, 0.8666666666666669, 0.7137254901960786, 
      0.6627450980392158, 0.5607843137254902, 0.35686274509803917, 
      0.15294117647058825, 0.15294117647058825, 0}, 
     {0, 0.10196078431372549, 0.2549019607843137, 0.35686274509803917, 
      0.5607843137254902, 0.5098039215686274, 0.6627450980392158, 
      0.8156862745098041, 0.9176470588235297, 1.070588235294118, 
      1.2745098039215692, 1.1215686274509808, 1.4470588235294124, 
      1.6313725490196087, 1.6823529411764715, 1.8352941176470599, 
      1.803921568627452, 1.8862745098039226, 2.1921568627450982, 
      4.352941176470588, 7.623529411764704, 13.73725490196078, 
      15.090196078431372, 22.27058823529412, 24.545098039215688, 
      21.992156862745098, 20.619607843137263, 21.658823529411766, 
      24.227450980392156, 24.07843137254902, 23.83921568627451, 
      25.811764705882357, 24.529411764705884, 23.70196078431372, 
      24.78823529411765, 19.333333333333325, 15.466666666666661, 
      9.501960784313722, 7.05098039215686, 3.5607843137254878, 
      1.9450980392156871, 1.784313725490197, 1.8352941176470599, 
      1.6823529411764715, 1.6313725490196087, 1.4274509803921576, 
      1.1215686274509808, 1.2745098039215692, 1.070588235294118, 
      0.9176470588235297, 0.8156862745098041, 0.6627450980392158, 
      0.5098039215686274, 0.5607843137254902, 0.35686274509803917, 
      0.2549019607843137, 0.10196078431372549, 0}, {0, 0.050980392156862744, 
      0.2549019607843137, 0.2549019607843137, 0.5098039215686274, 
      0.5607843137254902, 0.5607843137254902, 0.9686274509803925, 
      0.7137254901960786, 1.2235294117647064, 1.1215686274509808, 
      1.1921568627450985, 1.6509803921568635, 1.1725490196078436, 
      1.8352941176470599, 1.5294117647058831, 1.803921568627452, 
      2.0901960784313736, 1.9568627450980403, 4.454901960784313, 
      6.878431372549018, 14.105882352941173, 13.815686274509806, 
      17.945098039215683, 26.87843137254902, 20.9921568627451, 
      21.631372549019616, 21.537254901960782, 28.38431372549019, 
      29.61568627450981, 22.921568627450977, 26.568627450980397, 
      22.078431372549012, 28.33333333333334, 21.42745098039215, 
      16.09019607843137, 14.960784313725485, 8.152941176470586, 
      7.368627450980389, 2.9607843137254877, 2.1490196078431376, 
      1.784313725490197, 1.5294117647058831, 1.8352941176470599, 
      1.1725490196078436, 1.6313725490196087, 1.1725490196078436, 
      1.1215686274509808, 1.2235294117647064, 0.7137254901960786, 
      0.9686274509803925, 0.5607843137254902, 0.5607843137254902, 
      0.5098039215686274, 0.2549019607843137, 0.2549019607843137, 
      0.050980392156862744, 0}, {0, 0.050980392156862744, 
      0.15294117647058825, 0.35686274509803917, 0.4078431372549019, 
      0.611764705882353, 0.6627450980392158, 0.7647058823529413, 
      0.8666666666666669, 1.070588235294118, 1.070588235294118, 
      1.1921568627450985, 1.3764705882352948, 1.5294117647058831, 
      1.6313725490196087, 1.803921568627452, 1.8352941176470599, 
      1.9882352941176482, 2.211764705882353, 3.392156862745096, 
      8.556862745098039, 12.235294117647054, 15.407843137254904, 
      17.458823529411767, 19.09411764705883, 22.933333333333334, 
      21.266666666666666, 24.07450980392156, 29.250980392156862, 
      30.007843137254905, 26.78823529411765, 28.047058823529415, 
      26.33725490196079, 23.00392156862744, 19.666666666666664, 
      15.819607843137257, 12.458823529411761, 10.14117647058823, 
      5.356862745098036, 2.6745098039215667, 2.0470588235294125, 
      1.8352941176470599, 1.784313725490197, 1.6313725490196087, 
      1.5294117647058831, 1.3764705882352948, 1.1725490196078436, 
      1.070588235294118, 1.070588235294118, 0.8666666666666669, 
      0.7647058823529413, 0.6627450980392158, 0.611764705882353, 
      0.4078431372549019, 0.35686274509803917, 0.15294117647058825, 
      0.050980392156862744, 0}, {0, 0.050980392156862744, 
      0.15294117647058825, 0.30588235294117644, 0.45882352941176463, 
      0.611764705882353, 0.7137254901960786, 0.7647058823529413, 
      1.0196078431372553, 1.0196078431372553, 1.070588235294118, 
      1.1215686274509808, 1.294117647058824, 1.3764705882352948, 
      1.4784313725490204, 1.4980392156862752, 1.6823529411764715, 
      1.8352941176470599, 1.9568627450980403, 3.686274509803919, 
      8.423529411764704, 12.270588235294113, 15.749019607843136, 
      16.576470588235296, 18.984313725490203, 21.09803921568627, 
      22.43529411764705, 29.631372549019595, 32.55686274509805, 
      32.89019607843139, 31.917647058823537, 30.29019607843138, 
      26.788235294117655, 21.592156862745096, 17.227450980392156, 
      16.411764705882355, 12.41960784313725, 9.435294117647056, 
      5.701960784313723, 2.6392156862745075, 1.8941176470588243, 
      1.6823529411764715, 1.4784313725490204, 1.4784313725490204, 
      1.3764705882352948, 1.2745098039215692, 1.1215686274509808, 
      1.070588235294118, 1.0196078431372553, 1.0196078431372553, 
      0.7647058823529413, 0.7137254901960786, 0.611764705882353, 
      0.45882352941176463, 0.30588235294117644, 0.15294117647058825, 
      0.050980392156862744, 0}, {0, 0, 0.050980392156862744, 
      0.20392156862745098, 0.4078431372549019, 0.5607843137254902, 
      0.611764705882353, 0.7647058823529413, 0.8666666666666669, 
      0.9176470588235297, 1.070588235294118, 1.1725490196078436, 
      1.3450980392156868, 1.4784313725490204, 1.7019607843137263, 
      1.6823529411764715, 1.8352941176470599, 1.9882352941176482, 
      1.9568627450980403, 3.9921568627450954, 8.08627450980392, 
      11.09411764705882, 14.662745098039213, 15.28627450980392, 
      17.56470588235294, 19.80784313725489, 21.34117647058823, 
      28.964705882352934, 31.658823529411762, 32.00784313725491, 
      31.53333333333334, 30.31372549019608, 26.639215686274508, 
      19.874509803921573, 15.674509803921566, 15.149019607843137, 
      11.349019607843132, 9.243137254901956, 6.3098039215686255, 
      2.6588235294117624, 2.0470588235294125, 1.8352941176470599, 
      1.6823529411764715, 1.6823529411764715, 1.4784313725490204, 
      1.325490196078432, 1.1725490196078436, 1.070588235294118, 
      0.9176470588235297, 0.8666666666666669, 0.7647058823529413, 
      0.611764705882353, 0.5607843137254902, 0.4078431372549019, 
      0.20392156862745098, 0.050980392156862744, 0, 0}, 
     {0, 0, 0.050980392156862744, 0.10196078431372549, 0.30588235294117644, 
      0.4078431372549019, 0.611764705882353, 0.7137254901960786, 
      0.7647058823529413, 1.0196078431372553, 0.9686274509803925, 
      1.2235294117647064, 1.294117647058824, 1.4274509803921576, 
      1.7529411764705891, 1.6823529411764715, 1.9882352941176482, 
      1.9882352941176482, 2.109803921568628, 3.894117647058821, 
      8.913725490196075, 12.917647058823526, 14.623529411764705, 
      16.701960784313727, 18.61176470588234, 20.396078431372537, 
      22.760784313725495, 25.858823529411758, 30.30980392156863, 
      30.1843137254902, 27.815686274509815, 30.313725490196077, 
      25.27058823529412, 22.337254901960787, 17.462745098039214, 
      14.97647058823529, 13.392156862745093, 9.901960784313722, 
      6.117647058823527, 2.9058823529411737, 2.0274509803921577, 
      1.9882352941176482, 1.6823529411764715, 1.7333333333333343, 
      1.4274509803921576, 1.2745098039215692, 1.2235294117647064, 
      0.9686274509803925, 1.0196078431372553, 0.7647058823529413, 
      0.7137254901960786, 0.611764705882353, 0.4078431372549019, 
      0.30588235294117644, 0.10196078431372549, 0.050980392156862744, 0, 0}, 
     {0, 0, 0, 0.10196078431372549, 0.20392156862745098, 0.35686274509803917, 
      0.45882352941176463, 0.6627450980392158, 0.7647058823529413, 
      0.8666666666666669, 0.9686274509803925, 1.1725490196078436, 
      1.3960784313725496, 1.4980392156862752, 1.549019607843138, 
      1.7333333333333343, 1.8862745098039226, 1.9882352941176482, 
      2.0588235294117654, 3.6705882352941153, 9.058823529411761, 
      12.823529411764701, 15.431372549019605, 18.709803921568625, 
      23.01960784313724, 21.890196078431373, 20.780392156862746, 
      26.87450980392157, 28.976470588235294, 29.84313725490196, 
      29.388235294117653, 26.25490196078432, 24.43921568627452, 
      24.596078431372554, 22.231372549019614, 15.886274509803915, 
      12.799999999999995, 9.921568627450977, 5.5294117647058805, 
      2.6039215686274493, 2.0274509803921577, 1.8862745098039226, 
      1.7333333333333343, 1.5294117647058831, 1.4784313725490204, 
      1.3764705882352948, 1.1725490196078436, 0.9686274509803925, 
      0.8666666666666669, 0.7647058823529413, 0.6627450980392158, 
      0.45882352941176463, 0.35686274509803917, 0.20392156862745098, 
      0.10196078431372549, 0, 0, 0}, {0, 0, 0, 0, 0.15294117647058825, 
      0.35686274509803917, 0.5098039215686274, 0.5098039215686274, 
      0.7137254901960786, 0.9686274509803925, 0.9686274509803925, 
      1.2235294117647064, 1.294117647058824, 1.4980392156862752, 
      1.7333333333333343, 1.8352941176470599, 2.039215686274511, 
      2.0901960784313736, 2.478431372549019, 4.199999999999998, 
      9.72549019607843, 12.309803921568625, 14.329411764705878, 
      21.423529411764687, 23.180392156862737, 20.258823529411767, 
      18.666666666666664, 23.94901960784314, 26.219607843137254, 
      26.501960784313727, 25.75294117647059, 22.478431372549025, 
      23.77254901960785, 23.152941176470595, 23.06666666666667, 
      18.027450980392153, 13.180392156862741, 10.376470588235291, 
      5.705882352941174, 3.262745098039213, 2.129411764705883, 
      2.039215686274511, 1.8352941176470599, 1.7333333333333343, 
      1.4784313725490204, 1.2745098039215692, 1.2235294117647064, 
      0.9686274509803925, 0.9686274509803925, 0.7137254901960786, 
      0.5098039215686274, 0.5098039215686274, 0.35686274509803917, 
      0.15294117647058825, 0, 0, 0, 0}, {0, 0, 0, 0, 0.050980392156862744, 
      0.2549019607843137, 0.30588235294117644, 0.5098039215686274, 
      0.6627450980392158, 0.8156862745098041, 0.9686274509803925, 
      1.1215686274509808, 1.294117647058824, 1.4980392156862752, 
      1.6823529411764715, 1.8352941176470599, 2.039215686274511, 
      2.2431372549019613, 2.3647058823529408, 4.768627450980389, 
      9.266666666666664, 13.14901960784313, 18.956862745098032, 
      23.341176470588234, 21.298039215686273, 18.094117647058823, 
      19.12549019607843, 22.34901960784314, 23.447058823529407, 
      24.172549019607846, 23.549019607843146, 21.403921568627457, 
      21.788235294117655, 21.690196078431377, 21.86666666666667, 
      20.31764705882353, 16.850980392156853, 10.054901960784312, 
      6.262745098039213, 3.1803921568627427, 2.2823529411764705, 
      2.039215686274511, 1.8352941176470599, 1.6823529411764715, 
      1.4784313725490204, 1.2745098039215692, 1.1215686274509808, 
      0.9686274509803925, 0.8156862745098041, 0.6627450980392158, 
      0.5098039215686274, 0.30588235294117644, 0.2549019607843137, 
      0.050980392156862744, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 
      0.050980392156862744, 0.2549019607843137, 0.5098039215686274, 
      0.7137254901960786, 0.9176470588235297, 1.0196078431372553, 
      1.1215686274509808, 1.2745098039215692, 1.51764705882353, 
      1.784313725490197, 2.039215686274511, 2.141176470588236, 
      2.294117647058824, 2.6196078431372536, 4.8901960784313685, 
      9.74117647058823, 17.2156862745098, 22.882352941176464, 
      23.447058823529407, 18.537254901960786, 17.474509803921567, 
      19.741176470588236, 21.729411764705883, 23.47058823529412, 
      23.521568627450986, 22.64313725490197, 21.81176470588236, 
      20.29019607843138, 20.870588235294125, 21.180392156862755, 
      21.65490196078431, 19.094117647058816, 13.698039215686272, 
      6.635294117647056, 3.403921568627449, 2.333333333333333, 
      2.141176470588236, 2.039215686274511, 1.784313725490197, 
      1.4784313725490204, 1.2745098039215692, 1.1215686274509808, 
      1.0196078431372553, 0.9176470588235297, 0.7137254901960786, 
      0.5098039215686274, 0.2549019607843137, 0.050980392156862744, 0, 0, 0, 
      0, 0}, {0, 0, 0, 0, 0, 0, 0.10196078431372549, 0.30588235294117644, 
      0.5098039215686274, 0.7137254901960786, 1.0196078431372553, 
      1.1725490196078436, 1.325490196078432, 1.5686274509803928, 
      1.8862745098039226, 2.039215686274511, 2.1921568627450987, 
      2.4470588235294115, 2.7725490196078413, 5.956862745098038, 
      13.149019607843137, 18.72941176470588, 22.007843137254902, 
      19.26666666666667, 16.2, 18.015686274509804, 19.490196078431374, 
      20.894117647058827, 20.529411764705884, 20.686274509803926, 
      20.913725490196082, 20.690196078431377, 20.027450980392164, 
      19.160784313725497, 18.972549019607847, 18.647058823529413, 
      17.8392156862745, 15.317647058823523, 10.121568627450976, 
      4.2901960784313715, 2.4862745098039207, 2.1921568627450987, 
      2.039215686274511, 1.8862745098039226, 1.5294117647058831, 
      1.325490196078432, 1.1725490196078436, 1.0196078431372553, 
      0.7137254901960786, 0.5098039215686274, 0.30588235294117644, 
      0.10196078431372549, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 
      0.15294117647058825, 0.35686274509803917, 0.6627450980392158, 
      0.9176470588235297, 1.1215686274509808, 1.3960784313725496, 
      1.6000000000000008, 1.8862745098039226, 2.1921568627450987, 
      2.498039215686274, 2.568627450980392, 3.4588235294117653, 
      8.84313725490196, 15.145098039215688, 19.098039215686274, 
      17.79607843137255, 16.501960784313724, 16.631372549019602, 
      19.223529411764705, 19.50588235294118, 19.71764705882353, 
      19.611764705882358, 20.282352941176477, 19.1843137254902, 
      20.00784313725491, 20.611764705882358, 19.023529411764713, 
      17.858823529411758, 15.619607843137251, 15.517647058823522, 
      15.133333333333328, 11.32156862745098, 6.788235294117641, 
      3.572549019607839, 2.498039215686274, 2.1921568627450987, 
      1.8862745098039226, 1.580392156862746, 1.3764705882352948, 
      1.1215686274509808, 0.9176470588235297, 0.6627450980392158, 
      0.35686274509803917, 0.15294117647058825, 0, 0, 0, 0, 0, 0, 0}, 
     {0, 0, 0, 0, 0, 0, 0, 0, 0.15294117647058825, 0.45882352941176463, 
      0.7647058823529413, 1.070588235294118, 1.4470588235294124, 
      1.8352941176470599, 2.211764705882353, 2.599999999999999, 
      2.670588235294117, 3.7294117647058838, 5.662745098039217, 
      10.109803921568627, 15.670588235294119, 15.666666666666668, 
      14.674509803921568, 14.545098039215684, 15.901960784313722, 
      17.75686274509804, 19.90588235294118, 20.125490196078434, 
      19.29803921568628, 19.141176470588242, 19.525490196078437, 
      20.388235294117653, 19.02745098039216, 17.529411764705884, 
      16.192156862745097, 14.145098039215682, 12.874509803921564, 
      13.443137254901957, 12.203921568627447, 8.41960784313725, 
      5.86666666666666, 3.6352941176470535, 2.6196078431372536, 
      2.1921568627450987, 1.8352941176470599, 1.4274509803921576, 
      1.070588235294118, 0.7647058823529413, 0.45882352941176463, 
      0.15294117647058825, 0, 0, 0, 0, 0, 0, 0, 0}, 
     {0, 0, 0, 0, 0, 0, 0, 0, 0, 0.15294117647058825, 0.7137254901960786, 
      1.2235294117647064, 1.7529411764705891, 2.2431372549019613, 
      2.5176470588235285, 2.415686274509804, 3.4039215686274527, 
      5.188235294117648, 6.564705882352942, 10., 15.015686274509807, 
      14.423529411764704, 13.356862745098036, 14.380392156862742, 
      16.780392156862742, 18.38039215686274, 18.905882352941177, 
      18.807843137254906, 19.325490196078437, 19.278431372549026, 
      18.58039215686275, 19.360784313725496, 19.082352941176477, 
      18.113725490196078, 15.474509803921567, 14.047058823529406, 
      12.427450980392152, 11.399999999999997, 10.356862745098036, 
      8.196078431372543, 6.513725490196072, 4.960784313725484, 
      3.3803921568627406, 2.5176470588235285, 2.2431372549019613, 
      1.7333333333333343, 1.2235294117647064, 0.7137254901960786, 
      0.15294117647058825, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
     {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.20392156862745098, 1.1215686274509808, 
      2.109803921568628, 2.3450980392156864, 2.447058823529412, 
      3.901960784313727, 5.137254901960786, 6.23529411764706, 
      7.07843137254902, 9.913725490196079, 13.811764705882354, 
      14.066666666666663, 14.035294117647059, 15.466666666666663, 
      16.6078431372549, 16.858823529411765, 17.050980392156863, 
      17.725490196078436, 18.043137254901964, 17.996078431372553, 
      17.78823529411765, 17.682352941176475, 17.64705882352941, 
      17.24313725490196, 16.262745098039215, 14.799999999999995, 
      12.956862745098036, 10.93333333333333, 8.8078431372549, 
      7.737254901960778, 7.1333333333333275, 6.392156862745092, 
      5.325490196078425, 3.737254901960778, 2.4156862745098033, 
      2.0901960784313736, 1.1215686274509808, 0.20392156862745098, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      2.141176470588236, 2.294117647058824, 2.541176470588236, 
      2.756862745098041, 4.384313725490197, 4.937254901960785, 
      6.411764705882353, 6.701960784313725, 13.27058823529412, 
      11.36078431372549, 12.623529411764704, 12.458823529411765, 
      15.698039215686276, 15.647058823529411, 17.447058823529407, 
      16.643137254901962, 17.360784313725492, 17.254901960784313, 
      17.560784313725495, 17.000000000000004, 16.862745098039216, 
      16.93725490196078, 16.30588235294118, 15.48627450980392, 
      13.654901960784308, 12.37647058823529, 9.486274509803918, 
      9.435294117647054, 7.30588235294117, 7.137254901960778, 
      6.152941176470582, 4.866666666666661, 4.168627450980385, 
      2.560784313725489, 2.294117647058824, 1.1725490196078436, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0}}
