Datasets:

Modalities:
Image
Text
Formats:
parquet
Size:
< 1K
ArXiv:
Libraries:
Datasets
pandas
License:
Dataset Viewer
Auto-converted to Parquet
image
imagewidth (px)
1.28k
1.28k
labels
sequencelengths
19
36
image_id
stringlengths
6
6
[ [ 2, 0.284375, 0.20375, 0.283594, 0.205, 0.282813, 0.205, 0.282031, 0.20625, 0.28125, 0.20625, 0.280469, 0.20625, 0.279687, 0.20625, 0.278906, 0.20625, 0.278125, 0.2075, 0.277344, 0.20875, 0.276562, 0.21, 0.276562, 0.21125, 0.275781, 0.2125, 0.275, 0.2125, 0.274219, 0.21375, 0.273438, 0.215, 0.273438, 0.21625, 0.272656, 0.2175, 0.271875, 0.2175, 0.271094, 0.21875, 0.270313, 0.22, 0.269531, 0.22125, 0.26875, 0.2225, 0.267969, 0.22375, 0.267188, 0.225, 0.266406, 0.22625, 0.265625, 0.2275, 0.264844, 0.22875, 0.264062, 0.23, 0.263281, 0.23125, 0.2625, 0.2325, 0.261719, 0.23375, 0.261719, 0.235, 0.261719, 0.23625, 0.261719, 0.2375, 0.261719, 0.23875, 0.261719, 0.24, 0.260937, 0.24125, 0.260156, 0.2425, 0.259375, 0.24375, 0.258594, 0.24375, 0.257812, 0.24375, 0.257031, 0.245, 0.25625, 0.245, 0.255469, 0.24625, 0.254688, 0.2475, 0.253906, 0.24875, 0.253125, 0.24875, 0.252344, 0.25, 0.251563, 0.25, 0.250781, 0.25125, 0.25, 0.25125, 0.25, 0.2525, 0.249219, 0.25375, 0.248438, 0.255, 0.247656, 0.25625, 0.246875, 0.25625, 0.246094, 0.2575, 0.245312, 0.25875, 0.244531, 0.26, 0.24375, 0.26125, 0.242969, 0.2625, 0.242188, 0.26375, 0.241406, 0.265, 0.240625, 0.26625, 0.239844, 0.2675, 0.239063, 0.26875, 0.238281, 0.27, 0.238281, 0.27125, 0.238281, 0.2725, 0.238281, 0.27375, 0.238281, 0.275, 0.2375, 0.27625, 0.2375, 0.2775, 0.236719, 0.27875, 0.235937, 0.28, 0.235156, 0.28125, 0.235156, 0.2825, 0.235156, 0.28375, 0.235156, 0.285, 0.235156, 0.28625, 0.235156, 0.2875, 0.235156, 0.28875, 0.235156, 0.29, 0.235156, 0.29125, 0.235156, 0.2925, 0.235156, 0.29375, 0.235156, 0.295, 0.235156, 0.29625, 0.235156, 0.2975, 0.235156, 0.29875, 0.235156, 0.3, 0.235156, 0.30125, 0.235156, 0.3025, 0.235156, 0.30375, 0.235156, 0.305, 0.235156, 0.30625, 0.235156, 0.3075, 0.235156, 0.30875, 0.235156, 0.31, 0.235156, 0.31125, 0.235156, 0.3125, 0.235156, 0.31375, 0.235156, 0.315, 0.235156, 0.31625, 0.235156, 0.3175, 0.235156, 0.31875, 0.235156, 0.32, 0.235156, 0.32125, 0.235156, 0.3225, 0.235156, 0.32375, 0.235156, 0.325, 0.235156, 0.32625, 0.235156, 0.3275, 0.235156, 0.32875, 0.235937, 0.33, 0.236719, 0.33125, 0.2375, 0.3325, 0.238281, 0.33375, 0.238281, 0.335, 0.238281, 0.33625, 0.238281, 0.3375, 0.238281, 0.33875, 0.238281, 0.34, 0.239063, 0.34125, 0.239844, 0.3425, 0.240625, 0.34375, 0.241406, 0.345, 0.242188, 0.34625, 0.242969, 0.3475, 0.24375, 0.34875, 0.244531, 0.35, 0.245312, 0.35125, 0.246094, 0.3525, 0.246094, 0.35375, 0.246875, 0.355, 0.247656, 0.35625, 0.248438, 0.3575, 0.249219, 0.35875, 0.249219, 0.36, 0.25, 0.36125, 0.25, 0.3625, 0.250781, 0.36375, 0.250781, 0.365, 0.251563, 0.36625, 0.252344, 0.36625, 0.253125, 0.36625, 0.253906, 0.3675, 0.254688, 0.3675, 0.255469, 0.3675, 0.25625, 0.3675, 0.257031, 0.3675, 0.257812, 0.3675, 0.258594, 0.3675, 0.259375, 0.3675, 0.260156, 0.3675, 0.260937, 0.3675, 0.261719, 0.3675, 0.2625, 0.3675, 0.263281, 0.3675, 0.264062, 0.3675, 0.264844, 0.3675, 0.265625, 0.3675, 0.266406, 0.3675, 0.267188, 0.3675, 0.267969, 0.3675, 0.26875, 0.3675, 0.269531, 0.3675, 0.270313, 0.3675, 0.271094, 0.3675, 0.271875, 0.36625, 0.272656, 0.365, 0.273438, 0.36375, 0.274219, 0.3625, 0.275, 0.36125, 0.275781, 0.36125, 0.276562, 0.36125, 0.277344, 0.36125, 0.278125, 0.36125, 0.278906, 0.36125, 0.279687, 0.36125, 0.280469, 0.36125, 0.28125, 0.36125, 0.282031, 0.36125, 0.282813, 0.36125, 0.283594, 0.36, 0.284375, 0.35875, 0.285156, 0.3575, 0.285938, 0.35625, 0.286719, 0.355, 0.2875, 0.355, 0.288281, 0.355, 0.289062, 0.355, 0.289844, 0.355, 0.290625, 0.355, 0.291406, 0.355, 0.292187, 0.355, 0.292969, 0.355, 0.29375, 0.355, 0.294531, 0.355, 0.295312, 0.355, 0.296094, 0.355, 0.296875, 0.355, 0.297656, 0.355, 0.298438, 0.355, 0.299219, 0.355, 0.3, 0.355, 0.300781, 0.355, 0.301563, 0.355, 0.302344, 0.355, 0.303125, 0.355, 0.303906, 0.355, 0.304688, 0.355, 0.305469, 0.355, 0.30625, 0.355, 0.307031, 0.355, 0.307812, 0.355, 0.308594, 0.355, 0.309375, 0.355, 0.310156, 0.355, 0.310937, 0.355, 0.311719, 0.355, 0.3125, 0.355, 0.313281, 0.355, 0.314063, 0.355, 0.314844, 0.355, 0.315625, 0.355, 0.316406, 0.355, 0.317188, 0.355, 0.317969, 0.355, 0.31875, 0.355, 0.319531, 0.355, 0.320312, 0.355, 0.321094, 0.355, 0.321875, 0.355, 0.322656, 0.355, 0.323437, 0.35375, 0.324219, 0.35375, 0.325, 0.3525, 0.325781, 0.35125, 0.326562, 0.35, 0.327344, 0.35, 0.328125, 0.34875, 0.328906, 0.3475, 0.329688, 0.3475, 0.330469, 0.34625, 0.330469, 0.345, 0.33125, 0.34375, 0.332031, 0.3425, 0.332031, 0.34125, 0.332813, 0.34, 0.333594, 0.33875, 0.334375, 0.3375, 0.335156, 0.33625, 0.335156, 0.335, 0.335156, 0.33375, 0.335156, 0.3325, 0.335156, 0.33125, 0.335156, 0.33, 0.335156, 0.32875, 0.335156, 0.3275, 0.335156, 0.32625, 0.335156, 0.325, 0.335156, 0.32375, 0.335156, 0.3225, 0.335156, 0.32125, 0.335156, 0.32, 0.334375, 0.31875, 0.334375, 0.3175, 0.334375, 0.31625, 0.334375, 0.315, 0.333594, 0.31375, 0.332813, 0.3125, 0.332031, 0.31125, 0.33125, 0.31, 0.33125, 0.30875, 0.33125, 0.3075, 0.33125, 0.30625, 0.33125, 0.305, 0.33125, 0.30375, 0.33125, 0.3025, 0.33125, 0.30125, 0.33125, 0.3, 0.33125, 0.29875, 0.33125, 0.2975, 0.33125, 0.29625, 0.330469, 0.295, 0.329688, 0.29375, 0.328906, 0.2925, 0.328125, 0.29125, 0.327344, 0.29, 0.327344, 0.28875, 0.327344, 0.2875, 0.327344, 0.28625, 0.327344, 0.285, 0.327344, 0.28375, 0.327344, 0.2825, 0.327344, 0.28125, 0.327344, 0.28, 0.327344, 0.27875, 0.327344, 0.2775, 0.327344, 0.27625, 0.327344, 0.275, 0.327344, 0.27375, 0.327344, 0.2725, 0.327344, 0.27125, 0.327344, 0.27, 0.327344, 0.26875, 0.327344, 0.2675, 0.327344, 0.26625, 0.327344, 0.265, 0.327344, 0.26375, 0.327344, 0.2625, 0.327344, 0.26125, 0.327344, 0.26, 0.327344, 0.25875, 0.327344, 0.2575, 0.328125, 0.25625, 0.328125, 0.255, 0.328125, 0.25375, 0.328125, 0.2525, 0.328125, 0.25125, 0.328125, 0.25, 0.327344, 0.24875, 0.327344, 0.2475, 0.327344, 0.24625, 0.327344, 0.245, 0.327344, 0.24375, 0.327344, 0.2425, 0.327344, 0.24125, 0.327344, 0.24, 0.326562, 0.23875, 0.325781, 0.2375, 0.325, 0.2375, 0.324219, 0.23625, 0.324219, 0.235, 0.323437, 0.23375, 0.322656, 0.2325, 0.321875, 0.23125, 0.321094, 0.23, 0.320312, 0.22875, 0.319531, 0.2275, 0.31875, 0.22625, 0.317969, 0.225, 0.317188, 0.225, 0.316406, 0.22375, 0.315625, 0.2225, 0.314844, 0.22125, 0.314844, 0.22, 0.314063, 0.22, 0.313281, 0.21875, 0.3125, 0.21875, 0.311719, 0.21875, 0.310937, 0.21875, 0.310156, 0.21875, 0.309375, 0.2175, 0.308594, 0.21625, 0.307812, 0.215, 0.307812, 0.21375, 0.307031, 0.2125, 0.30625, 0.2125, 0.305469, 0.21125, 0.304688, 0.21, 0.303906, 0.20875, 0.303125, 0.2075, 0.302344, 0.20625, 0.301563, 0.20625, 0.300781, 0.20625, 0.3, 0.20625, 0.299219, 0.20625, 0.298438, 0.20625, 0.297656, 0.20625, 0.296875, 0.20625, 0.296094, 0.20625, 0.295312, 0.20625, 0.294531, 0.20625, 0.29375, 0.205, 0.292969, 0.20375, 0.292187, 0.20375, 0.291406, 0.20375, 0.290625, 0.20375, 0.289844, 0.20375, 0.289062, 0.20375, 0.288281, 0.20375, 0.2875, 0.20375, 0.286719, 0.20375, 0.285938, 0.20375, 0.285156, 0.20375 ], [ 0, 0.284, 0.116237, 0.256695, 0.141525, 0.223656, 0.176, 0.199227, 0.215087, 0.177672, 0.256462, 0.164742, 0.29785, 0.159, 0.369113, 0.156125, 0.619687, 0.156125, 0.672562, 0.170492, 0.732325, 0.184859, 0.7829, 0.213594, 0.835775, 0.233711, 0.861063, 0.268195, 0.88635, 0.288305, 0.902438, 0.308422, 0.911637, 0.54693, 0.920837, 0.667617, 0.920837, 0.725086, 0.920837, 0.75957, 0.918538, 0.802672, 0.900138, 0.837156, 0.865663, 0.864461, 0.810488, 0.888883, 0.753012, 0.906125, 0.672562, 0.907563, 0.454162, 0.904687, 0.364513, 0.893195, 0.302437, 0.860148, 0.215087, 0.811297, 0.162213, 0.75957, 0.130025, 0.598656, 0.123138 ], [ 2, 0.322656, 0.63625, 0.321875, 0.6375, 0.321094, 0.6375, 0.320312, 0.6375, 0.319531, 0.6375, 0.31875, 0.6375, 0.317969, 0.6375, 0.317188, 0.6375, 0.316406, 0.6375, 0.315625, 0.6375, 0.314844, 0.6375, 0.314063, 0.6375, 0.313281, 0.6375, 0.3125, 0.6375, 0.311719, 0.6375, 0.310937, 0.6375, 0.310156, 0.6375, 0.309375, 0.63875, 0.308594, 0.64, 0.307812, 0.64125, 0.307031, 0.6425, 0.30625, 0.64375, 0.305469, 0.64375, 0.304688, 0.64375, 0.303906, 0.64375, 0.303125, 0.64375, 0.302344, 0.64375, 0.301563, 0.64375, 0.300781, 0.645, 0.3, 0.64625, 0.299219, 0.6475, 0.298438, 0.64875, 0.297656, 0.64875, 0.296875, 0.65, 0.296094, 0.65, 0.295312, 0.65, 0.294531, 0.65, 0.29375, 0.65125, 0.292969, 0.6525, 0.292969, 0.65375, 0.292187, 0.655, 0.292187, 0.65625, 0.292187, 0.6575, 0.291406, 0.65875, 0.290625, 0.66, 0.290625, 0.66125, 0.289844, 0.6625, 0.289844, 0.66375, 0.289062, 0.665, 0.289062, 0.66625, 0.289062, 0.6675, 0.289062, 0.66875, 0.289062, 0.67, 0.289062, 0.67125, 0.289062, 0.6725, 0.288281, 0.67375, 0.288281, 0.675, 0.288281, 0.67625, 0.288281, 0.6775, 0.288281, 0.67875, 0.2875, 0.68, 0.2875, 0.68125, 0.286719, 0.6825, 0.285938, 0.6825, 0.285938, 0.68375, 0.285938, 0.685, 0.285938, 0.68625, 0.285938, 0.6875, 0.285938, 0.68875, 0.285938, 0.69, 0.286719, 0.69125, 0.2875, 0.6925, 0.2875, 0.69375, 0.2875, 0.695, 0.288281, 0.69625, 0.288281, 0.6975, 0.288281, 0.69875, 0.288281, 0.7, 0.288281, 0.70125, 0.288281, 0.7025, 0.288281, 0.70375, 0.289062, 0.705, 0.289062, 0.70625, 0.289062, 0.7075, 0.289062, 0.70875, 0.289062, 0.71, 0.289062, 0.71125, 0.289062, 0.7125, 0.289062, 0.71375, 0.289062, 0.715, 0.288281, 0.71625, 0.288281, 0.7175, 0.2875, 0.71875, 0.286719, 0.72, 0.285938, 0.72125, 0.285156, 0.7225, 0.285156, 0.72375, 0.285156, 0.725, 0.285156, 0.72625, 0.285156, 0.7275, 0.285156, 0.72875, 0.285156, 0.73, 0.285156, 0.73125, 0.285156, 0.7325, 0.285156, 0.73375, 0.285156, 0.735, 0.285156, 0.73625, 0.285156, 0.7375, 0.285156, 0.73875, 0.285156, 0.74, 0.285156, 0.74125, 0.285156, 0.7425, 0.285156, 0.74375, 0.285156, 0.745, 0.285156, 0.74625, 0.285156, 0.7475, 0.285156, 0.74875, 0.285156, 0.75, 0.285156, 0.75125, 0.285156, 0.7525, 0.285156, 0.75375, 0.285156, 0.755, 0.285156, 0.75625, 0.285156, 0.7575, 0.285156, 0.75875, 0.285156, 0.76, 0.285156, 0.76125, 0.285156, 0.7625, 0.285156, 0.76375, 0.285156, 0.765, 0.285938, 0.76625, 0.286719, 0.7675, 0.2875, 0.7675, 0.288281, 0.76875, 0.289062, 0.77, 0.289844, 0.77125, 0.290625, 0.7725, 0.291406, 0.77375, 0.292187, 0.775, 0.292969, 0.77625, 0.29375, 0.7775, 0.294531, 0.77875, 0.295312, 0.77875, 0.296094, 0.78, 0.296875, 0.78, 0.297656, 0.78, 0.298438, 0.78125, 0.299219, 0.78125, 0.3, 0.7825, 0.3, 0.78375, 0.300781, 0.785, 0.301563, 0.785, 0.302344, 0.78625, 0.303125, 0.78625, 0.303906, 0.7875, 0.304688, 0.7875, 0.305469, 0.78875, 0.30625, 0.78875, 0.307031, 0.79, 0.307812, 0.79125, 0.308594, 0.79125, 0.309375, 0.7925, 0.310156, 0.7925, 0.310937, 0.7925, 0.311719, 0.7925, 0.3125, 0.7925, 0.313281, 0.7925, 0.314063, 0.7925, 0.314844, 0.7925, 0.315625, 0.7925, 0.316406, 0.7925, 0.317188, 0.7925, 0.317969, 0.7925, 0.31875, 0.79375, 0.319531, 0.79375, 0.320312, 0.795, 0.321094, 0.79625, 0.321875, 0.79625, 0.322656, 0.79625, 0.323437, 0.79625, 0.324219, 0.79625, 0.325, 0.79625, 0.325781, 0.79625, 0.326562, 0.79625, 0.327344, 0.79625, 0.328125, 0.79625, 0.328906, 0.79625, 0.329688, 0.79625, 0.330469, 0.79625, 0.33125, 0.79625, 0.332031, 0.79625, 0.332813, 0.79625, 0.333594, 0.795, 0.334375, 0.79375, 0.335156, 0.79375, 0.335938, 0.7925, 0.336719, 0.7925, 0.3375, 0.7925, 0.338281, 0.7925, 0.339062, 0.7925, 0.339844, 0.7925, 0.340625, 0.7925, 0.341406, 0.7925, 0.342187, 0.7925, 0.342969, 0.7925, 0.34375, 0.7925, 0.344531, 0.7925, 0.345313, 0.7925, 0.346094, 0.7925, 0.346875, 0.7925, 0.347656, 0.7925, 0.348438, 0.7925, 0.349219, 0.7925, 0.35, 0.7925, 0.350781, 0.79125, 0.351562, 0.79125, 0.352344, 0.79125, 0.353125, 0.79, 0.353906, 0.78875, 0.354687, 0.7875, 0.355469, 0.7875, 0.35625, 0.78625, 0.357031, 0.78625, 0.357812, 0.785, 0.358594, 0.785, 0.358594, 0.78375, 0.359375, 0.7825, 0.360156, 0.78125, 0.360938, 0.78, 0.361719, 0.78, 0.3625, 0.78, 0.363281, 0.77875, 0.364063, 0.7775, 0.364844, 0.77625, 0.365625, 0.775, 0.366406, 0.77375, 0.366406, 0.7725, 0.366406, 0.77125, 0.367188, 0.77, 0.367969, 0.76875, 0.36875, 0.7675, 0.369531, 0.7675, 0.369531, 0.76625, 0.370312, 0.765, 0.371094, 0.76375, 0.371094, 0.7625, 0.371875, 0.76125, 0.372656, 0.76125, 0.373437, 0.76, 0.374219, 0.75875, 0.374219, 0.7575, 0.374219, 0.75625, 0.374219, 0.755, 0.374219, 0.75375, 0.374219, 0.7525, 0.374219, 0.75125, 0.373437, 0.75, 0.373437, 0.74875, 0.372656, 0.7475, 0.371875, 0.74625, 0.371094, 0.745, 0.370312, 0.74375, 0.369531, 0.7425, 0.36875, 0.7425, 0.367969, 0.74125, 0.367188, 0.74, 0.366406, 0.73875, 0.365625, 0.73875, 0.364844, 0.7375, 0.364063, 0.7375, 0.363281, 0.73625, 0.3625, 0.735, 0.3625, 0.73375, 0.361719, 0.7325, 0.360938, 0.73125, 0.360156, 0.73125, 0.359375, 0.73, 0.358594, 0.72875, 0.357812, 0.7275, 0.357031, 0.72625, 0.35625, 0.72625, 0.355469, 0.72625, 0.354687, 0.725, 0.353906, 0.725, 0.353125, 0.725, 0.352344, 0.72375, 0.351562, 0.7225, 0.350781, 0.72125, 0.35, 0.72, 0.349219, 0.71875, 0.348438, 0.71875, 0.347656, 0.7175, 0.346875, 0.71625, 0.346094, 0.715, 0.346094, 0.71375, 0.345313, 0.71375, 0.344531, 0.7125, 0.34375, 0.71125, 0.342969, 0.71125, 0.342187, 0.71, 0.341406, 0.70875, 0.340625, 0.7075, 0.339844, 0.70625, 0.339844, 0.705, 0.339062, 0.70375, 0.339062, 0.7025, 0.339062, 0.70125, 0.339062, 0.7, 0.339062, 0.69875, 0.338281, 0.6975, 0.338281, 0.69625, 0.3375, 0.695, 0.336719, 0.69375, 0.335938, 0.6925, 0.335938, 0.69125, 0.335156, 0.69, 0.335156, 0.68875, 0.335156, 0.6875, 0.334375, 0.68625, 0.334375, 0.685, 0.333594, 0.68375, 0.334375, 0.6825, 0.334375, 0.68125, 0.334375, 0.68, 0.334375, 0.67875, 0.335156, 0.6775, 0.335156, 0.67625, 0.335156, 0.675, 0.335156, 0.67375, 0.335156, 0.6725, 0.335156, 0.67125, 0.335156, 0.67, 0.335156, 0.66875, 0.335156, 0.6675, 0.335156, 0.66625, 0.335156, 0.665, 0.335156, 0.66375, 0.335156, 0.6625, 0.335156, 0.66125, 0.335156, 0.66, 0.335156, 0.65875, 0.335156, 0.6575, 0.335156, 0.65625, 0.335156, 0.655, 0.335156, 0.65375, 0.334375, 0.6525, 0.334375, 0.65125, 0.334375, 0.65, 0.334375, 0.64875, 0.333594, 0.6475, 0.333594, 0.64625, 0.332813, 0.645, 0.332813, 0.64375, 0.332031, 0.6425, 0.332031, 0.64125, 0.332031, 0.64, 0.33125, 0.63875, 0.33125, 0.6375, 0.330469, 0.63625, 0.329688, 0.63625, 0.328906, 0.63625, 0.328125, 0.63625, 0.327344, 0.63625, 0.326562, 0.63625, 0.325781, 0.63625, 0.325, 0.63625, 0.324219, 0.63625, 0.323437, 0.63625 ], [ 2, 0.614844, 0.58125, 0.614062, 0.5825, 0.613281, 0.5825, 0.6125, 0.58375, 0.611719, 0.58375, 0.610938, 0.585, 0.610156, 0.58625, 0.609375, 0.58625, 0.608594, 0.58625, 0.607812, 0.5875, 0.607031, 0.5875, 0.60625, 0.58875, 0.605469, 0.58875, 0.604688, 0.59, 0.603906, 0.59125, 0.603125, 0.5925, 0.602344, 0.5925, 0.601562, 0.59375, 0.600781, 0.59375, 0.6, 0.59375, 0.599219, 0.595, 0.598437, 0.595, 0.597656, 0.595, 0.596875, 0.59625, 0.596094, 0.5975, 0.595313, 0.59875, 0.594531, 0.59875, 0.59375, 0.6, 0.592969, 0.6, 0.592187, 0.6, 0.591406, 0.60125, 0.590625, 0.60125, 0.590625, 0.6025, 0.589844, 0.60375, 0.589063, 0.605, 0.588281, 0.60625, 0.5875, 0.6075, 0.586719, 0.6075, 0.585938, 0.60875, 0.585938, 0.61, 0.585156, 0.61125, 0.584375, 0.6125, 0.583594, 0.61375, 0.582812, 0.615, 0.582812, 0.61625, 0.582031, 0.6175, 0.582031, 0.61875, 0.58125, 0.62, 0.580469, 0.62125, 0.58125, 0.6225, 0.58125, 0.62375, 0.58125, 0.625, 0.58125, 0.62625, 0.58125, 0.6275, 0.582031, 0.62875, 0.582812, 0.63, 0.583594, 0.63125, 0.583594, 0.6325, 0.584375, 0.63375, 0.584375, 0.635, 0.584375, 0.63625, 0.583594, 0.6375, 0.583594, 0.63875, 0.583594, 0.64, 0.583594, 0.64125, 0.582812, 0.6425, 0.582812, 0.64375, 0.582812, 0.645, 0.582812, 0.64625, 0.582031, 0.6475, 0.582031, 0.64875, 0.582031, 0.65, 0.582031, 0.65125, 0.582031, 0.6525, 0.582031, 0.65375, 0.58125, 0.655, 0.58125, 0.65625, 0.58125, 0.6575, 0.58125, 0.65875, 0.58125, 0.66, 0.58125, 0.66125, 0.58125, 0.6625, 0.58125, 0.66375, 0.58125, 0.665, 0.58125, 0.66625, 0.58125, 0.6675, 0.58125, 0.66875, 0.58125, 0.67, 0.58125, 0.67125, 0.58125, 0.6725, 0.58125, 0.67375, 0.58125, 0.675, 0.58125, 0.67625, 0.58125, 0.6775, 0.58125, 0.67875, 0.58125, 0.68, 0.58125, 0.68125, 0.58125, 0.6825, 0.58125, 0.68375, 0.58125, 0.685, 0.58125, 0.68625, 0.58125, 0.6875, 0.58125, 0.68875, 0.58125, 0.69, 0.58125, 0.69125, 0.58125, 0.6925, 0.58125, 0.69375, 0.58125, 0.695, 0.58125, 0.69625, 0.58125, 0.6975, 0.58125, 0.69875, 0.580469, 0.7, 0.580469, 0.70125, 0.580469, 0.7025, 0.580469, 0.70375, 0.579688, 0.705, 0.579688, 0.70625, 0.579688, 0.7075, 0.579688, 0.70875, 0.579688, 0.71, 0.579688, 0.71125, 0.579688, 0.7125, 0.579688, 0.71375, 0.579688, 0.715, 0.579688, 0.71625, 0.579688, 0.7175, 0.579688, 0.71875, 0.579688, 0.72, 0.580469, 0.72125, 0.580469, 0.7225, 0.580469, 0.72375, 0.580469, 0.725, 0.580469, 0.72625, 0.580469, 0.7275, 0.580469, 0.72875, 0.580469, 0.73, 0.579688, 0.73125, 0.579688, 0.7325, 0.579688, 0.73375, 0.579688, 0.735, 0.579688, 0.73625, 0.579688, 0.7375, 0.578906, 0.73875, 0.578906, 0.74, 0.578906, 0.74125, 0.578125, 0.7425, 0.578125, 0.74375, 0.578125, 0.745, 0.578125, 0.74625, 0.578125, 0.7475, 0.578125, 0.74875, 0.578125, 0.75, 0.578125, 0.75125, 0.578125, 0.7525, 0.578125, 0.75375, 0.578125, 0.755, 0.578906, 0.755, 0.579688, 0.755, 0.580469, 0.75625, 0.58125, 0.75625, 0.582031, 0.7575, 0.582812, 0.75875, 0.583594, 0.75875, 0.584375, 0.76, 0.585156, 0.76, 0.585938, 0.76, 0.586719, 0.76125, 0.5875, 0.76125, 0.588281, 0.7625, 0.588281, 0.76375, 0.588281, 0.765, 0.589063, 0.765, 0.589844, 0.76625, 0.590625, 0.76625, 0.591406, 0.7675, 0.592187, 0.7675, 0.592969, 0.76875, 0.59375, 0.77, 0.59375, 0.77125, 0.594531, 0.7725, 0.595313, 0.7725, 0.596094, 0.77375, 0.596875, 0.77375, 0.597656, 0.77375, 0.598437, 0.77375, 0.599219, 0.77375, 0.6, 0.77375, 0.600781, 0.77375, 0.601562, 0.77375, 0.602344, 0.77375, 0.603125, 0.77375, 0.603906, 0.77375, 0.604688, 0.775, 0.605469, 0.775, 0.60625, 0.77625, 0.607031, 0.7775, 0.607812, 0.7775, 0.608594, 0.7775, 0.609375, 0.7775, 0.610156, 0.7775, 0.610938, 0.7775, 0.611719, 0.7775, 0.6125, 0.7775, 0.613281, 0.7775, 0.614062, 0.7775, 0.614844, 0.7775, 0.615625, 0.7775, 0.616406, 0.7775, 0.617188, 0.7775, 0.617969, 0.7775, 0.61875, 0.7775, 0.619531, 0.7775, 0.620313, 0.7775, 0.621094, 0.7775, 0.621875, 0.7775, 0.622656, 0.7775, 0.623437, 0.7775, 0.624219, 0.7775, 0.625, 0.7775, 0.625781, 0.7775, 0.626563, 0.7775, 0.627344, 0.77625, 0.628125, 0.775, 0.628906, 0.775, 0.629687, 0.775, 0.630469, 0.77375, 0.63125, 0.77375, 0.632031, 0.77375, 0.632812, 0.77375, 0.633594, 0.77375, 0.634375, 0.77375, 0.635156, 0.77375, 0.635938, 0.7725, 0.636719, 0.7725, 0.6375, 0.7725, 0.638281, 0.77125, 0.639062, 0.77125, 0.639844, 0.77, 0.640625, 0.76875, 0.641406, 0.76875, 0.642188, 0.7675, 0.642969, 0.7675, 0.64375, 0.7675, 0.644531, 0.7675, 0.645312, 0.7675, 0.646094, 0.7675, 0.646875, 0.7675, 0.647656, 0.76625, 0.648438, 0.76625, 0.649219, 0.765, 0.65, 0.765, 0.650781, 0.76375, 0.651563, 0.7625, 0.652344, 0.7625, 0.653125, 0.76125, 0.653906, 0.76125, 0.654687, 0.76, 0.655469, 0.75875, 0.65625, 0.7575, 0.657031, 0.75625, 0.657813, 0.755, 0.658594, 0.755, 0.659375, 0.755, 0.660156, 0.755, 0.660937, 0.755, 0.661719, 0.755, 0.6625, 0.755, 0.663281, 0.755, 0.664062, 0.75375, 0.664844, 0.75375, 0.665625, 0.75375, 0.666406, 0.7525, 0.667188, 0.75125, 0.667969, 0.75, 0.66875, 0.74875, 0.669531, 0.74875, 0.670312, 0.7475, 0.671094, 0.7475, 0.671094, 0.74625, 0.671875, 0.745, 0.672656, 0.74375, 0.673438, 0.7425, 0.674219, 0.7425, 0.675, 0.7425, 0.675781, 0.74125, 0.676562, 0.74125, 0.677344, 0.74, 0.678125, 0.73875, 0.678906, 0.7375, 0.679688, 0.73625, 0.680469, 0.735, 0.68125, 0.73375, 0.68125, 0.7325, 0.682031, 0.73125, 0.682031, 0.73, 0.682031, 0.72875, 0.682813, 0.7275, 0.682813, 0.72625, 0.682813, 0.725, 0.682813, 0.72375, 0.682813, 0.7225, 0.682813, 0.72125, 0.682813, 0.72, 0.682813, 0.71875, 0.682813, 0.7175, 0.682813, 0.71625, 0.683594, 0.715, 0.683594, 0.71375, 0.683594, 0.7125, 0.684375, 0.71125, 0.684375, 0.71, 0.685156, 0.70875, 0.685937, 0.7075, 0.685937, 0.70625, 0.685937, 0.705, 0.686719, 0.70375, 0.686719, 0.7025, 0.686719, 0.70125, 0.6875, 0.7, 0.6875, 0.69875, 0.688281, 0.6975, 0.689063, 0.69625, 0.689063, 0.695, 0.689063, 0.69375, 0.689844, 0.6925, 0.689844, 0.69125, 0.689844, 0.69, 0.690625, 0.68875, 0.690625, 0.6875, 0.690625, 0.68625, 0.690625, 0.685, 0.690625, 0.68375, 0.691406, 0.6825, 0.691406, 0.68125, 0.691406, 0.68, 0.691406, 0.67875, 0.691406, 0.6775, 0.692187, 0.67625, 0.692187, 0.675, 0.692187, 0.67375, 0.692187, 0.6725, 0.692187, 0.67125, 0.692187, 0.67, 0.692187, 0.66875, 0.692187, 0.6675, 0.692187, 0.66625, 0.692187, 0.665, 0.692187, 0.66375, 0.692187, 0.6625, 0.692187, 0.66125, 0.692187, 0.66, 0.692187, 0.65875, 0.692187, 0.6575, 0.692187, 0.65625, 0.692187, 0.655, 0.692187, 0.65375, 0.692187, 0.6525, 0.692187, 0.65125, 0.692187, 0.65, 0.691406, 0.64875, 0.691406, 0.6475, 0.691406, 0.64625, 0.691406, 0.645, 0.691406, 0.64375, 0.690625, 0.6425, 0.690625, 0.64125, 0.690625, 0.64, 0.690625, 0.63875, 0.690625, 0.6375, 0.690625, 0.63625, 0.690625, 0.635, 0.689844, 0.63375, 0.689844, 0.6325, 0.689063, 0.63125, 0.688281, 0.63125, 0.6875, 0.63, 0.686719, 0.62875, 0.686719, 0.6275, 0.685937, 0.62625, 0.685156, 0.625, 0.684375, 0.625, 0.683594, 0.625, 0.682813, 0.62375, 0.682031, 0.62375, 0.68125, 0.6225, 0.680469, 0.62125, 0.679688, 0.62, 0.678906, 0.62, 0.678125, 0.61875, 0.677344, 0.61875, 0.676562, 0.6175, 0.675781, 0.61625, 0.675, 0.615, 0.674219, 0.61375, 0.674219, 0.6125, 0.673438, 0.61125, 0.672656, 0.61125, 0.671875, 0.61, 0.671094, 0.60875, 0.671094, 0.6075, 0.670312, 0.60625, 0.669531, 0.605, 0.66875, 0.60375, 0.667969, 0.60375, 0.667188, 0.6025, 0.666406, 0.60125, 0.665625, 0.60125, 0.664844, 0.60125, 0.664062, 0.6, 0.663281, 0.6, 0.6625, 0.6, 0.661719, 0.59875, 0.660937, 0.59875, 0.660156, 0.5975, 0.659375, 0.59625, 0.658594, 0.595, 0.657813, 0.595, 0.657031, 0.59375, 0.65625, 0.59375, 0.655469, 0.59375, 0.654687, 0.59375, 0.653906, 0.59375, 0.653125, 0.59375, 0.652344, 0.5925, 0.651563, 0.5925, 0.650781, 0.59125, 0.65, 0.59, 0.649219, 0.58875, 0.648438, 0.5875, 0.647656, 0.5875, 0.646875, 0.58625, 0.646094, 0.58625, 0.645312, 0.585, 0.644531, 0.58375, 0.64375, 0.5825, 0.642969, 0.5825, 0.642188, 0.58125, 0.641406, 0.58125, 0.640625, 0.58125, 0.639844, 0.58125, 0.639062, 0.58125, 0.638281, 0.58125, 0.6375, 0.58125, 0.636719, 0.58125, 0.635938, 0.58125, 0.635156, 0.58125, 0.634375, 0.58125, 0.633594, 0.58125, 0.632812, 0.58125, 0.632031, 0.58125, 0.63125, 0.58125, 0.630469, 0.58125, 0.629687, 0.58125, 0.628906, 0.58125, 0.628125, 0.58125, 0.627344, 0.58125, 0.626563, 0.58125, 0.625781, 0.58125, 0.625, 0.58125, 0.624219, 0.58125, 0.623437, 0.58125, 0.622656, 0.58125, 0.621875, 0.58125, 0.621094, 0.58125, 0.620313, 0.58125, 0.619531, 0.58125, 0.61875, 0.58125, 0.617969, 0.58125, 0.617188, 0.58125, 0.616406, 0.58125, 0.615625, 0.58125 ], [ 2, 0.760938, 0.525, 0.760156, 0.52625, 0.759375, 0.52625, 0.758594, 0.52625, 0.757812, 0.5275, 0.757031, 0.52875, 0.75625, 0.53, 0.755469, 0.53, 0.754687, 0.53125, 0.753906, 0.53125, 0.753125, 0.53125, 0.752344, 0.53125, 0.751563, 0.53125, 0.750781, 0.5325, 0.75, 0.5325, 0.749219, 0.53375, 0.748437, 0.53375, 0.747656, 0.535, 0.746875, 0.53625, 0.746094, 0.5375, 0.746094, 0.53875, 0.745313, 0.54, 0.745313, 0.54125, 0.744531, 0.5425, 0.74375, 0.54375, 0.742969, 0.54375, 0.742188, 0.545, 0.742188, 0.54625, 0.742188, 0.5475, 0.741406, 0.54875, 0.741406, 0.55, 0.740625, 0.55125, 0.740625, 0.5525, 0.739844, 0.55375, 0.739844, 0.555, 0.739062, 0.55625, 0.738281, 0.5575, 0.738281, 0.55875, 0.7375, 0.56, 0.736719, 0.56125, 0.735938, 0.5625, 0.735156, 0.56375, 0.734375, 0.565, 0.733594, 0.56625, 0.732812, 0.5675, 0.732031, 0.5675, 0.73125, 0.56875, 0.730469, 0.56875, 0.729688, 0.57, 0.728906, 0.57125, 0.728125, 0.5725, 0.727344, 0.5725, 0.726562, 0.57375, 0.725781, 0.575, 0.725, 0.575, 0.724219, 0.575, 0.723437, 0.57625, 0.722656, 0.5775, 0.721875, 0.57875, 0.721094, 0.58, 0.720313, 0.58125, 0.719531, 0.5825, 0.71875, 0.5825, 0.71875, 0.58375, 0.717969, 0.585, 0.717187, 0.58625, 0.716406, 0.5875, 0.715625, 0.5875, 0.714844, 0.58875, 0.714063, 0.59, 0.714063, 0.59125, 0.713281, 0.5925, 0.7125, 0.5925, 0.711719, 0.59375, 0.710938, 0.595, 0.710156, 0.59625, 0.709375, 0.5975, 0.708594, 0.59875, 0.707812, 0.6, 0.707031, 0.60125, 0.707031, 0.6025, 0.70625, 0.60375, 0.70625, 0.605, 0.705469, 0.60625, 0.704688, 0.6075, 0.703906, 0.6075, 0.703906, 0.60875, 0.703125, 0.61, 0.703125, 0.61125, 0.703125, 0.6125, 0.702344, 0.61375, 0.702344, 0.615, 0.702344, 0.61625, 0.702344, 0.6175, 0.702344, 0.61875, 0.702344, 0.62, 0.702344, 0.62125, 0.702344, 0.6225, 0.702344, 0.62375, 0.702344, 0.625, 0.702344, 0.62625, 0.702344, 0.6275, 0.702344, 0.62875, 0.702344, 0.63, 0.702344, 0.63125, 0.702344, 0.6325, 0.702344, 0.63375, 0.702344, 0.635, 0.702344, 0.63625, 0.702344, 0.6375, 0.702344, 0.63875, 0.702344, 0.64, 0.702344, 0.64125, 0.702344, 0.6425, 0.702344, 0.64375, 0.702344, 0.645, 0.702344, 0.64625, 0.702344, 0.6475, 0.702344, 0.64875, 0.702344, 0.65, 0.702344, 0.65125, 0.702344, 0.6525, 0.702344, 0.65375, 0.702344, 0.655, 0.702344, 0.65625, 0.702344, 0.6575, 0.702344, 0.65875, 0.702344, 0.66, 0.702344, 0.66125, 0.702344, 0.6625, 0.702344, 0.66375, 0.702344, 0.665, 0.702344, 0.66625, 0.702344, 0.6675, 0.702344, 0.66875, 0.702344, 0.67, 0.702344, 0.67125, 0.703125, 0.6725, 0.703125, 0.67375, 0.703906, 0.675, 0.704688, 0.67625, 0.704688, 0.6775, 0.705469, 0.67875, 0.70625, 0.68, 0.70625, 0.68125, 0.707031, 0.6825, 0.707812, 0.68375, 0.708594, 0.685, 0.709375, 0.68625, 0.709375, 0.6875, 0.710156, 0.68875, 0.710938, 0.69, 0.710938, 0.69125, 0.710938, 0.6925, 0.711719, 0.69375, 0.711719, 0.695, 0.711719, 0.69625, 0.7125, 0.6975, 0.7125, 0.69875, 0.713281, 0.7, 0.714063, 0.70125, 0.714063, 0.7025, 0.714844, 0.70375, 0.714844, 0.705, 0.714844, 0.70625, 0.715625, 0.7075, 0.715625, 0.70875, 0.716406, 0.71, 0.716406, 0.71125, 0.717187, 0.7125, 0.717187, 0.71375, 0.717969, 0.715, 0.71875, 0.71625, 0.71875, 0.7175, 0.719531, 0.71875, 0.719531, 0.72, 0.720313, 0.72125, 0.720313, 0.7225, 0.721094, 0.72375, 0.721875, 0.725, 0.721875, 0.72625, 0.721875, 0.7275, 0.722656, 0.72875, 0.722656, 0.73, 0.723437, 0.73125, 0.723437, 0.7325, 0.723437, 0.73375, 0.724219, 0.735, 0.725, 0.73625, 0.725781, 0.7375, 0.726562, 0.73875, 0.726562, 0.74, 0.727344, 0.74125, 0.728125, 0.7425, 0.728906, 0.7425, 0.729688, 0.74375, 0.730469, 0.745, 0.73125, 0.74625, 0.732031, 0.7475, 0.732812, 0.7475, 0.733594, 0.7475, 0.734375, 0.74875, 0.735156, 0.74875, 0.735938, 0.74875, 0.736719, 0.74875, 0.7375, 0.75, 0.738281, 0.75, 0.739062, 0.75125, 0.739062, 0.7525, 0.739844, 0.75375, 0.740625, 0.75375, 0.741406, 0.75375, 0.742188, 0.75375, 0.742969, 0.75375, 0.74375, 0.755, 0.744531, 0.755, 0.745313, 0.755, 0.746094, 0.75625, 0.746875, 0.7575, 0.747656, 0.75875, 0.748437, 0.75875, 0.749219, 0.76, 0.75, 0.76, 0.750781, 0.76, 0.751563, 0.76125, 0.752344, 0.76125, 0.753125, 0.7625, 0.753906, 0.76375, 0.754687, 0.765, 0.755469, 0.76625, 0.75625, 0.76625, 0.757031, 0.76625, 0.757812, 0.7675, 0.758594, 0.7675, 0.759375, 0.7675, 0.760156, 0.76875, 0.760938, 0.76875, 0.761719, 0.77, 0.761719, 0.77125, 0.7625, 0.7725, 0.763281, 0.77375, 0.764062, 0.77375, 0.764844, 0.77375, 0.765625, 0.77375, 0.766406, 0.77375, 0.767188, 0.77375, 0.767969, 0.77375, 0.76875, 0.77375, 0.769531, 0.77375, 0.770312, 0.77375, 0.771094, 0.775, 0.771875, 0.775, 0.772656, 0.775, 0.773438, 0.775, 0.774219, 0.775, 0.775, 0.775, 0.775781, 0.775, 0.776563, 0.775, 0.777344, 0.775, 0.778125, 0.775, 0.778906, 0.775, 0.779687, 0.775, 0.780469, 0.775, 0.78125, 0.775, 0.782031, 0.77375, 0.782813, 0.77375, 0.783594, 0.77375, 0.784375, 0.77375, 0.785156, 0.77375, 0.785937, 0.77375, 0.786719, 0.7725, 0.7875, 0.7725, 0.7875, 0.77125, 0.788281, 0.77, 0.789062, 0.76875, 0.789844, 0.7675, 0.790625, 0.7675, 0.791406, 0.76625, 0.792188, 0.76625, 0.792188, 0.765, 0.792969, 0.76375, 0.79375, 0.7625, 0.794531, 0.76125, 0.795312, 0.76125, 0.796094, 0.76, 0.796875, 0.75875, 0.797656, 0.7575, 0.798438, 0.75625, 0.799219, 0.75625, 0.8, 0.755, 0.800781, 0.755, 0.801562, 0.755, 0.802344, 0.755, 0.803125, 0.755, 0.803906, 0.755, 0.804688, 0.755, 0.805469, 0.755, 0.80625, 0.755, 0.807031, 0.75375, 0.807813, 0.7525, 0.807813, 0.75125, 0.808594, 0.75, 0.809375, 0.75, 0.810156, 0.74875, 0.810937, 0.74875, 0.811719, 0.74875, 0.8125, 0.74875, 0.813281, 0.7475, 0.814063, 0.7475, 0.814844, 0.74625, 0.815625, 0.745, 0.816406, 0.74375, 0.817187, 0.7425, 0.817969, 0.7425, 0.81875, 0.74125, 0.819531, 0.74, 0.820312, 0.73875, 0.821094, 0.7375, 0.821875, 0.73625, 0.822656, 0.73625, 0.823438, 0.73625, 0.824219, 0.73625, 0.825, 0.73625, 0.825781, 0.73625, 0.826562, 0.735, 0.827344, 0.73375, 0.827344, 0.7325, 0.828125, 0.73125, 0.828906, 0.73125, 0.829688, 0.73, 0.830469, 0.72875, 0.83125, 0.7275, 0.832031, 0.72625, 0.832812, 0.725, 0.833594, 0.72375, 0.834375, 0.7225, 0.835156, 0.72125, 0.835156, 0.72, 0.835156, 0.71875, 0.835156, 0.7175, 0.835156, 0.71625, 0.835156, 0.715, 0.835156, 0.71375, 0.835156, 0.7125, 0.835156, 0.71125, 0.835156, 0.71, 0.835156, 0.70875, 0.835156, 0.7075, 0.835156, 0.70625, 0.835156, 0.705, 0.835938, 0.70375, 0.835938, 0.7025, 0.835938, 0.70125, 0.836719, 0.7, 0.8375, 0.7, 0.838281, 0.69875, 0.838281, 0.6975, 0.839063, 0.69625, 0.839063, 0.695, 0.839063, 0.69375, 0.839063, 0.6925, 0.839063, 0.69125, 0.839063, 0.69, 0.839063, 0.68875, 0.839063, 0.6875, 0.839844, 0.68625, 0.839844, 0.685, 0.839844, 0.68375, 0.840625, 0.6825, 0.840625, 0.68125, 0.841406, 0.68, 0.842187, 0.67875, 0.842187, 0.6775, 0.842187, 0.67625, 0.842187, 0.675, 0.842187, 0.67375, 0.842883, 0.672475, 0.842883, 0.672475, 0.843578, 0.647463, 0.843812, 0.641125, 0.843812, 0.635525, 0.843117, 0.629925, 0.842414, 0.62395, 0.84218, 0.620588, 0.840625, 0.61875, 0.840625, 0.6175, 0.840625, 0.61625, 0.840625, 0.615, 0.840625, 0.61375, 0.840625, 0.6125, 0.840625, 0.61125, 0.840625, 0.61, 0.840625, 0.60875, 0.840625, 0.6075, 0.840625, 0.60625, 0.840625, 0.605, 0.840625, 0.60375, 0.839844, 0.6025, 0.839844, 0.60125, 0.839844, 0.6, 0.839844, 0.59875, 0.839063, 0.5975, 0.839063, 0.59625, 0.838281, 0.59625, 0.8375, 0.595, 0.836719, 0.59375, 0.836719, 0.5925, 0.836719, 0.59125, 0.835938, 0.59, 0.835938, 0.58875, 0.835938, 0.5875, 0.835938, 0.58625, 0.835938, 0.585, 0.835156, 0.58375, 0.835156, 0.5825, 0.835156, 0.58125, 0.835156, 0.58, 0.835156, 0.57875, 0.835156, 0.5775, 0.835156, 0.57625, 0.835156, 0.575, 0.834375, 0.57375, 0.834375, 0.5725, 0.834375, 0.57125, 0.834375, 0.57, 0.833594, 0.56875, 0.833594, 0.5675, 0.832812, 0.56625, 0.832812, 0.565, 0.832812, 0.56375, 0.832031, 0.5625, 0.832031, 0.56125, 0.832031, 0.56, 0.832031, 0.55875, 0.83125, 0.5575, 0.830469, 0.55625, 0.829688, 0.555, 0.828906, 0.55375, 0.828125, 0.5525, 0.827344, 0.55125, 0.827344, 0.55, 0.826562, 0.54875, 0.825781, 0.5475, 0.825, 0.54625, 0.824219, 0.545, 0.823438, 0.545, 0.822656, 0.54375, 0.821875, 0.54375, 0.821094, 0.54375, 0.820312, 0.5425, 0.819531, 0.5425, 0.81875, 0.54125, 0.817969, 0.54, 0.817187, 0.53875, 0.816406, 0.53875, 0.815625, 0.53875, 0.814844, 0.5375, 0.814063, 0.5375, 0.813281, 0.5375, 0.8125, 0.5375, 0.811719, 0.5375, 0.810937, 0.53625, 0.810156, 0.53625, 0.809375, 0.535, 0.808594, 0.53375, 0.807813, 0.5325, 0.807031, 0.53125, 0.80625, 0.53125, 0.805469, 0.53125, 0.804688, 0.53125, 0.803906, 0.53125, 0.803125, 0.53125, 0.802344, 0.53125, 0.801562, 0.53, 0.800781, 0.52875, 0.8, 0.5275, 0.799219, 0.52625, 0.798438, 0.525, 0.797656, 0.525, 0.796875, 0.525, 0.796094, 0.525, 0.795312, 0.525, 0.794531, 0.525, 0.79375, 0.525, 0.792969, 0.525, 0.792188, 0.525, 0.791406, 0.525, 0.790625, 0.525, 0.789844, 0.525, 0.789062, 0.525, 0.788281, 0.525, 0.7875, 0.525, 0.786719, 0.525, 0.785937, 0.525, 0.785156, 0.525, 0.784375, 0.525, 0.783594, 0.525, 0.782813, 0.525, 0.782031, 0.525, 0.78125, 0.525, 0.780469, 0.525, 0.779687, 0.525, 0.778906, 0.525, 0.778125, 0.525, 0.777344, 0.525, 0.776563, 0.525, 0.775781, 0.525, 0.775, 0.525, 0.774219, 0.525, 0.773438, 0.525, 0.772656, 0.525, 0.771875, 0.525, 0.771094, 0.525, 0.770312, 0.525, 0.769531, 0.525, 0.76875, 0.525, 0.767969, 0.525, 0.767188, 0.525, 0.766406, 0.525, 0.765625, 0.525, 0.764844, 0.525, 0.764062, 0.525, 0.763281, 0.525, 0.7625, 0.525, 0.761719, 0.525 ], [ 2, 0.558594, 0.49625, 0.557813, 0.4975, 0.557031, 0.49875, 0.55625, 0.49875, 0.555469, 0.5, 0.555469, 0.50125, 0.554688, 0.5025, 0.553906, 0.50375, 0.553125, 0.505, 0.552344, 0.50625, 0.551562, 0.5075, 0.550781, 0.5075, 0.550781, 0.50875, 0.55, 0.51, 0.549219, 0.51125, 0.548438, 0.5125, 0.547656, 0.51375, 0.546875, 0.515, 0.546875, 0.51625, 0.546875, 0.5175, 0.546875, 0.51875, 0.546875, 0.52, 0.546094, 0.52125, 0.546094, 0.5225, 0.545312, 0.52375, 0.544531, 0.52375, 0.54375, 0.525, 0.542969, 0.52625, 0.542969, 0.5275, 0.542188, 0.52875, 0.541406, 0.53, 0.540625, 0.53125, 0.539844, 0.5325, 0.539062, 0.53375, 0.539062, 0.535, 0.538281, 0.53625, 0.538281, 0.5375, 0.538281, 0.53875, 0.5375, 0.54, 0.536719, 0.54125, 0.536719, 0.5425, 0.535937, 0.54375, 0.535937, 0.545, 0.535156, 0.54625, 0.535156, 0.5475, 0.535156, 0.54875, 0.535156, 0.55, 0.535156, 0.55125, 0.535156, 0.5525, 0.535156, 0.55375, 0.535156, 0.555, 0.535156, 0.55625, 0.535156, 0.5575, 0.535156, 0.55875, 0.535156, 0.56, 0.535156, 0.56125, 0.535156, 0.5625, 0.535156, 0.56375, 0.535156, 0.565, 0.535156, 0.56625, 0.535156, 0.5675, 0.535156, 0.56875, 0.535156, 0.57, 0.535156, 0.57125, 0.535156, 0.5725, 0.535156, 0.57375, 0.535156, 0.575, 0.535156, 0.57625, 0.535156, 0.5775, 0.534375, 0.57875, 0.534375, 0.58, 0.534375, 0.58125, 0.534375, 0.5825, 0.534375, 0.58375, 0.534375, 0.585, 0.534375, 0.58625, 0.534375, 0.5875, 0.534375, 0.58875, 0.534375, 0.59, 0.534375, 0.59125, 0.534375, 0.5925, 0.534375, 0.59375, 0.534375, 0.595, 0.534375, 0.59625, 0.534375, 0.5975, 0.535156, 0.5975, 0.535937, 0.5975, 0.536719, 0.5975, 0.5375, 0.5975, 0.538281, 0.5975, 0.539062, 0.5975, 0.539844, 0.5975, 0.540625, 0.5975, 0.541406, 0.5975, 0.542188, 0.5975, 0.542969, 0.5975, 0.54375, 0.5975, 0.544531, 0.5975, 0.545312, 0.5975, 0.546094, 0.5975, 0.546875, 0.5975, 0.547656, 0.5975, 0.548438, 0.5975, 0.549219, 0.5975, 0.55, 0.5975, 0.550781, 0.5975, 0.551562, 0.59875, 0.552344, 0.59875, 0.553125, 0.59875, 0.553906, 0.59875, 0.554688, 0.59875, 0.555469, 0.59875, 0.55625, 0.59875, 0.557031, 0.59875, 0.557813, 0.6, 0.558594, 0.60125, 0.559375, 0.6025, 0.560156, 0.60375, 0.560937, 0.60375, 0.561719, 0.60375, 0.5625, 0.60375, 0.563281, 0.605, 0.564063, 0.605, 0.564844, 0.605, 0.565625, 0.60625, 0.566406, 0.60625, 0.567187, 0.6075, 0.567969, 0.60875, 0.567969, 0.61, 0.56875, 0.61, 0.569531, 0.61125, 0.569531, 0.6125, 0.570312, 0.61375, 0.570312, 0.615, 0.571094, 0.61625, 0.571094, 0.6175, 0.571875, 0.61875, 0.572656, 0.62, 0.573438, 0.62125, 0.573438, 0.6225, 0.574219, 0.62375, 0.575, 0.62375, 0.575781, 0.62375, 0.576562, 0.62375, 0.577344, 0.62375, 0.578125, 0.62375, 0.578906, 0.62375, 0.579688, 0.62375, 0.580469, 0.62375, 0.58125, 0.62375, 0.582031, 0.62375, 0.582812, 0.62375, 0.583594, 0.62375, 0.584375, 0.62375, 0.584375, 0.6225, 0.584375, 0.62125, 0.584375, 0.62, 0.584375, 0.61875, 0.584375, 0.6175, 0.584375, 0.61625, 0.583594, 0.615, 0.584375, 0.61375, 0.584375, 0.6125, 0.585156, 0.61125, 0.585156, 0.61, 0.585156, 0.60875, 0.585938, 0.6075, 0.586719, 0.60625, 0.5875, 0.60625, 0.588281, 0.605, 0.589063, 0.60375, 0.589063, 0.6025, 0.589844, 0.60125, 0.590625, 0.6, 0.591406, 0.59875, 0.592187, 0.59875, 0.592969, 0.59875, 0.59375, 0.59875, 0.594531, 0.5975, 0.595313, 0.5975, 0.596094, 0.59625, 0.596875, 0.595, 0.597656, 0.595, 0.598437, 0.59375, 0.599219, 0.59375, 0.6, 0.5925, 0.600781, 0.5925, 0.601562, 0.5925, 0.602344, 0.59125, 0.603125, 0.59125, 0.603906, 0.59, 0.604688, 0.58875, 0.605469, 0.5875, 0.60625, 0.58625, 0.607031, 0.58625, 0.607812, 0.58625, 0.608594, 0.585, 0.609375, 0.585, 0.610156, 0.585, 0.610938, 0.58375, 0.611719, 0.58375, 0.6125, 0.5825, 0.613281, 0.5825, 0.614062, 0.58125, 0.614844, 0.58125, 0.615625, 0.58125, 0.616406, 0.58125, 0.617188, 0.58, 0.617969, 0.58, 0.61875, 0.58, 0.619531, 0.58, 0.620313, 0.58, 0.621094, 0.58, 0.621875, 0.58, 0.622656, 0.58, 0.623437, 0.58, 0.624219, 0.57875, 0.625, 0.5775, 0.625781, 0.5775, 0.625781, 0.57625, 0.626563, 0.575, 0.626563, 0.57375, 0.626563, 0.5725, 0.626563, 0.57125, 0.626563, 0.57, 0.626563, 0.56875, 0.626563, 0.5675, 0.625781, 0.56625, 0.625, 0.565, 0.625, 0.56375, 0.625, 0.5625, 0.624219, 0.56125, 0.624219, 0.56, 0.624219, 0.55875, 0.623437, 0.5575, 0.623437, 0.55625, 0.622656, 0.55625, 0.621875, 0.555, 0.621094, 0.55375, 0.620313, 0.5525, 0.620313, 0.55125, 0.620313, 0.55, 0.620313, 0.54875, 0.620313, 0.5475, 0.620313, 0.54625, 0.619531, 0.545, 0.61875, 0.54375, 0.617969, 0.5425, 0.617188, 0.54125, 0.616406, 0.54, 0.615625, 0.53875, 0.614844, 0.5375, 0.614062, 0.53625, 0.613281, 0.535, 0.6125, 0.53375, 0.611719, 0.5325, 0.610938, 0.53125, 0.610156, 0.53125, 0.609375, 0.53125, 0.608594, 0.53125, 0.607812, 0.53125, 0.607031, 0.53, 0.60625, 0.53, 0.605469, 0.52875, 0.605469, 0.5275, 0.604688, 0.52625, 0.603906, 0.525, 0.603125, 0.525, 0.602344, 0.525, 0.601562, 0.52375, 0.600781, 0.5225, 0.6, 0.52125, 0.599219, 0.52, 0.598437, 0.51875, 0.597656, 0.5175, 0.596875, 0.51625, 0.596875, 0.515, 0.596094, 0.51375, 0.595313, 0.5125, 0.594531, 0.5125, 0.59375, 0.51125, 0.592969, 0.51, 0.592187, 0.50875, 0.592187, 0.5075, 0.591406, 0.5075, 0.590625, 0.50625, 0.589844, 0.50625, 0.589063, 0.50625, 0.588281, 0.50625, 0.5875, 0.50625, 0.586719, 0.505, 0.585938, 0.50375, 0.585156, 0.5025, 0.584375, 0.50125, 0.583594, 0.5, 0.582812, 0.5, 0.582031, 0.49875, 0.58125, 0.4975, 0.580469, 0.49625, 0.579688, 0.49625, 0.578906, 0.49625, 0.578125, 0.49625, 0.577344, 0.49625, 0.576562, 0.49625, 0.575781, 0.49625, 0.575, 0.49625, 0.574219, 0.49625, 0.573438, 0.49625, 0.572656, 0.49625, 0.571875, 0.49625, 0.571094, 0.49625, 0.570312, 0.49625, 0.569531, 0.49625, 0.56875, 0.49625, 0.567969, 0.49625, 0.567187, 0.49625, 0.566406, 0.49625, 0.565625, 0.49625, 0.564844, 0.49625, 0.564063, 0.49625, 0.563281, 0.49625, 0.5625, 0.49625, 0.561719, 0.49625, 0.560937, 0.49625, 0.560156, 0.49625, 0.559375, 0.49625 ], [ 2, 0.239844, 0.5125, 0.239063, 0.51375, 0.238281, 0.515, 0.238281, 0.51625, 0.2375, 0.5175, 0.2375, 0.51875, 0.236719, 0.52, 0.235937, 0.52125, 0.235156, 0.5225, 0.235156, 0.52375, 0.234375, 0.525, 0.234375, 0.52625, 0.234375, 0.5275, 0.233594, 0.52875, 0.232813, 0.53, 0.232031, 0.53125, 0.23125, 0.5325, 0.230469, 0.53375, 0.229687, 0.535, 0.228906, 0.53625, 0.228125, 0.5375, 0.228125, 0.53875, 0.228125, 0.54, 0.228125, 0.54125, 0.228125, 0.5425, 0.228125, 0.54375, 0.228125, 0.545, 0.228125, 0.54625, 0.228125, 0.5475, 0.228125, 0.54875, 0.228125, 0.55, 0.228125, 0.55125, 0.228125, 0.5525, 0.228125, 0.55375, 0.228125, 0.555, 0.228125, 0.55625, 0.228125, 0.5575, 0.228125, 0.55875, 0.228125, 0.56, 0.228125, 0.56125, 0.228125, 0.5625, 0.228125, 0.56375, 0.228125, 0.565, 0.228125, 0.56625, 0.228125, 0.5675, 0.228125, 0.56875, 0.228125, 0.57, 0.228125, 0.57125, 0.228125, 0.5725, 0.228125, 0.57375, 0.228125, 0.575, 0.228125, 0.57625, 0.228125, 0.5775, 0.228125, 0.57875, 0.228906, 0.58, 0.229687, 0.58125, 0.229687, 0.5825, 0.230469, 0.58375, 0.230469, 0.585, 0.230469, 0.58625, 0.230469, 0.5875, 0.230469, 0.58875, 0.230469, 0.59, 0.230469, 0.59125, 0.230469, 0.5925, 0.230469, 0.59375, 0.230469, 0.595, 0.23125, 0.59625, 0.23125, 0.5975, 0.232031, 0.59875, 0.232813, 0.6, 0.233594, 0.60125, 0.234375, 0.6025, 0.234375, 0.60375, 0.235156, 0.605, 0.235937, 0.605, 0.236719, 0.605, 0.2375, 0.605, 0.238281, 0.60625, 0.239063, 0.60625, 0.239844, 0.60625, 0.240625, 0.6075, 0.241406, 0.6075, 0.242188, 0.6075, 0.242969, 0.6075, 0.24375, 0.60875, 0.244531, 0.60875, 0.245312, 0.61, 0.246094, 0.61, 0.246875, 0.61, 0.247656, 0.61125, 0.248438, 0.61125, 0.249219, 0.61125, 0.25, 0.61125, 0.250781, 0.61125, 0.251563, 0.61125, 0.252344, 0.6125, 0.253125, 0.6125, 0.253906, 0.61375, 0.254688, 0.615, 0.255469, 0.61625, 0.25625, 0.61625, 0.257031, 0.6175, 0.257812, 0.6175, 0.258594, 0.6175, 0.259375, 0.6175, 0.260156, 0.6175, 0.260937, 0.6175, 0.261719, 0.61875, 0.2625, 0.61875, 0.263281, 0.61875, 0.264062, 0.62, 0.264844, 0.62125, 0.265625, 0.6225, 0.266406, 0.6225, 0.267188, 0.62375, 0.267969, 0.62375, 0.26875, 0.62375, 0.269531, 0.62375, 0.270313, 0.62375, 0.271094, 0.62375, 0.271875, 0.62375, 0.272656, 0.625, 0.273438, 0.625, 0.274219, 0.62625, 0.275, 0.6275, 0.275781, 0.62875, 0.276562, 0.63, 0.277344, 0.63125, 0.278125, 0.6325, 0.278906, 0.63375, 0.279687, 0.635, 0.280469, 0.63625, 0.28125, 0.6375, 0.28125, 0.63875, 0.28125, 0.64, 0.282031, 0.64125, 0.282813, 0.6425, 0.283594, 0.64375, 0.284375, 0.645, 0.284375, 0.64625, 0.285156, 0.6475, 0.285156, 0.64875, 0.285938, 0.64875, 0.286719, 0.64875, 0.2875, 0.64875, 0.288281, 0.64875, 0.289062, 0.64875, 0.289844, 0.64875, 0.290625, 0.64875, 0.291406, 0.64875, 0.292187, 0.64875, 0.292969, 0.64875, 0.29375, 0.64875, 0.294531, 0.64875, 0.295312, 0.6475, 0.296094, 0.64625, 0.296875, 0.645, 0.297656, 0.64375, 0.298438, 0.6425, 0.299219, 0.6425, 0.3, 0.6425, 0.300781, 0.6425, 0.301563, 0.6425, 0.302344, 0.6425, 0.303125, 0.64125, 0.303906, 0.64125, 0.304688, 0.64, 0.305469, 0.63875, 0.30625, 0.63875, 0.307031, 0.6375, 0.307812, 0.6375, 0.308594, 0.63625, 0.309375, 0.63625, 0.310156, 0.63625, 0.310937, 0.63625, 0.311719, 0.63625, 0.3125, 0.63625, 0.313281, 0.63625, 0.314063, 0.63625, 0.314844, 0.63625, 0.315625, 0.63625, 0.316406, 0.63625, 0.317188, 0.63625, 0.317969, 0.63625, 0.31875, 0.635, 0.319531, 0.63375, 0.320312, 0.6325, 0.321094, 0.63125, 0.321875, 0.63, 0.322656, 0.63, 0.323437, 0.63, 0.324219, 0.62875, 0.325, 0.62875, 0.325, 0.6275, 0.325, 0.62625, 0.325, 0.625, 0.324219, 0.62375, 0.324219, 0.6225, 0.324219, 0.62125, 0.323437, 0.62, 0.323437, 0.61875, 0.323437, 0.6175, 0.323437, 0.61625, 0.322656, 0.615, 0.322656, 0.61375, 0.321875, 0.61375, 0.321094, 0.6125, 0.320312, 0.61125, 0.319531, 0.61, 0.319531, 0.60875, 0.319531, 0.6075, 0.319531, 0.60625, 0.319531, 0.605, 0.319531, 0.60375, 0.319531, 0.6025, 0.319531, 0.60125, 0.319531, 0.6, 0.31875, 0.59875, 0.31875, 0.5975, 0.31875, 0.59625, 0.317969, 0.595, 0.317188, 0.59375, 0.316406, 0.5925, 0.316406, 0.59125, 0.315625, 0.59, 0.315625, 0.58875, 0.315625, 0.5875, 0.315625, 0.58625, 0.315625, 0.585, 0.315625, 0.58375, 0.315625, 0.5825, 0.315625, 0.58125, 0.315625, 0.58, 0.315625, 0.57875, 0.315625, 0.5775, 0.315625, 0.57625, 0.315625, 0.575, 0.315625, 0.57375, 0.315625, 0.5725, 0.315625, 0.57125, 0.315625, 0.57, 0.315625, 0.56875, 0.315625, 0.5675, 0.315625, 0.56625, 0.315625, 0.565, 0.315625, 0.56375, 0.314844, 0.5625, 0.314844, 0.56125, 0.314844, 0.56, 0.314063, 0.55875, 0.313281, 0.5575, 0.3125, 0.55625, 0.311719, 0.55625, 0.310937, 0.555, 0.310156, 0.555, 0.309375, 0.55375, 0.308594, 0.5525, 0.307812, 0.5525, 0.307031, 0.55125, 0.30625, 0.55125, 0.305469, 0.55125, 0.304688, 0.55125, 0.303906, 0.55, 0.303125, 0.55, 0.302344, 0.55, 0.301563, 0.55, 0.300781, 0.55, 0.3, 0.55, 0.299219, 0.55, 0.298438, 0.55, 0.297656, 0.55, 0.296875, 0.55, 0.296094, 0.55, 0.295312, 0.55, 0.294531, 0.55, 0.29375, 0.55, 0.292969, 0.55, 0.292187, 0.55, 0.291406, 0.55, 0.290625, 0.55, 0.289844, 0.55, 0.289062, 0.55, 0.288281, 0.55, 0.2875, 0.54875, 0.286719, 0.54875, 0.285938, 0.54875, 0.285156, 0.5475, 0.284375, 0.54625, 0.283594, 0.54625, 0.282813, 0.545, 0.282031, 0.545, 0.28125, 0.54375, 0.280469, 0.54375, 0.279687, 0.54375, 0.278906, 0.5425, 0.278125, 0.54125, 0.277344, 0.54, 0.276562, 0.53875, 0.275781, 0.5375, 0.275, 0.5375, 0.274219, 0.53625, 0.273438, 0.535, 0.272656, 0.53375, 0.271875, 0.5325, 0.271094, 0.53125, 0.270313, 0.53125, 0.269531, 0.53125, 0.26875, 0.53125, 0.267969, 0.53125, 0.267188, 0.53125, 0.266406, 0.53, 0.265625, 0.52875, 0.264844, 0.5275, 0.264844, 0.52625, 0.264062, 0.52625, 0.263281, 0.525, 0.2625, 0.52375, 0.261719, 0.5225, 0.260937, 0.52125, 0.260156, 0.52, 0.259375, 0.51875, 0.258594, 0.51875, 0.257812, 0.5175, 0.257031, 0.5175, 0.25625, 0.51625, 0.255469, 0.515, 0.255469, 0.51375, 0.254688, 0.51375, 0.253906, 0.51375, 0.253125, 0.5125, 0.252344, 0.5125, 0.251563, 0.5125, 0.250781, 0.5125, 0.25, 0.5125, 0.249219, 0.5125, 0.248438, 0.5125, 0.247656, 0.5125, 0.246875, 0.5125, 0.246094, 0.5125, 0.245312, 0.5125, 0.244531, 0.5125, 0.24375, 0.5125, 0.242969, 0.5125, 0.242188, 0.5125, 0.241406, 0.5125, 0.240625, 0.5125 ], [ 2, 0.285938, 0.35625, 0.285156, 0.3575, 0.284375, 0.35875, 0.283594, 0.36, 0.282813, 0.36125, 0.282031, 0.36125, 0.28125, 0.3625, 0.280469, 0.3625, 0.279687, 0.3625, 0.278906, 0.3625, 0.278125, 0.3625, 0.277344, 0.3625, 0.276562, 0.3625, 0.275781, 0.3625, 0.275, 0.3625, 0.274219, 0.3625, 0.273438, 0.36375, 0.272656, 0.36375, 0.271875, 0.365, 0.271094, 0.36625, 0.270313, 0.3675, 0.269531, 0.3675, 0.26875, 0.36875, 0.267969, 0.36875, 0.267188, 0.36875, 0.266406, 0.37, 0.265625, 0.37125, 0.264844, 0.3725, 0.264062, 0.37375, 0.263281, 0.375, 0.2625, 0.375, 0.261719, 0.375, 0.260937, 0.375, 0.260156, 0.375, 0.259375, 0.375, 0.258594, 0.37625, 0.257812, 0.3775, 0.257031, 0.37875, 0.25625, 0.38, 0.255469, 0.38125, 0.254688, 0.38125, 0.253906, 0.38125, 0.253125, 0.38125, 0.252344, 0.38125, 0.251563, 0.38125, 0.250781, 0.38125, 0.25, 0.3825, 0.249219, 0.3825, 0.248438, 0.38375, 0.247656, 0.385, 0.246875, 0.38625, 0.246094, 0.38625, 0.245312, 0.3875, 0.244531, 0.3875, 0.24375, 0.3875, 0.242969, 0.38875, 0.242188, 0.38875, 0.242188, 0.39, 0.241406, 0.39125, 0.240625, 0.3925, 0.239844, 0.39375, 0.239063, 0.39375, 0.239063, 0.395, 0.238281, 0.39625, 0.238281, 0.3975, 0.2375, 0.39875, 0.2375, 0.4, 0.236719, 0.40125, 0.236719, 0.4025, 0.236719, 0.40375, 0.236719, 0.405, 0.236719, 0.40625, 0.236719, 0.4075, 0.236719, 0.40875, 0.236719, 0.41, 0.236719, 0.41125, 0.236719, 0.4125, 0.236719, 0.41375, 0.236719, 0.415, 0.236719, 0.41625, 0.236719, 0.4175, 0.236719, 0.41875, 0.236719, 0.42, 0.236719, 0.42125, 0.236719, 0.4225, 0.236719, 0.42375, 0.236719, 0.425, 0.236719, 0.42625, 0.236719, 0.4275, 0.236719, 0.42875, 0.2375, 0.43, 0.2375, 0.43125, 0.238281, 0.4325, 0.238281, 0.43375, 0.238281, 0.435, 0.238281, 0.43625, 0.238281, 0.4375, 0.238281, 0.43875, 0.238281, 0.44, 0.238281, 0.44125, 0.238281, 0.4425, 0.238281, 0.44375, 0.238281, 0.445, 0.238281, 0.44625, 0.238281, 0.4475, 0.238281, 0.44875, 0.238281, 0.45, 0.238281, 0.45125, 0.238281, 0.4525, 0.239063, 0.45375, 0.239063, 0.455, 0.239844, 0.45625, 0.240625, 0.4575, 0.241406, 0.45875, 0.241406, 0.46, 0.241406, 0.46125, 0.241406, 0.4625, 0.242188, 0.46375, 0.242188, 0.465, 0.242188, 0.46625, 0.242188, 0.4675, 0.242188, 0.46875, 0.242188, 0.47, 0.242188, 0.47125, 0.242188, 0.4725, 0.242188, 0.47375, 0.242188, 0.475, 0.242188, 0.47625, 0.242188, 0.4775, 0.242188, 0.47875, 0.242188, 0.48, 0.242188, 0.48125, 0.242188, 0.4825, 0.242188, 0.48375, 0.242188, 0.485, 0.242188, 0.48625, 0.242188, 0.4875, 0.242969, 0.48875, 0.242969, 0.49, 0.24375, 0.49125, 0.244531, 0.4925, 0.245312, 0.49375, 0.246094, 0.495, 0.246094, 0.49625, 0.246875, 0.4975, 0.247656, 0.49875, 0.248438, 0.5, 0.249219, 0.50125, 0.25, 0.5025, 0.250781, 0.50375, 0.251563, 0.505, 0.252344, 0.50625, 0.253125, 0.5075, 0.253906, 0.50875, 0.253906, 0.51, 0.254688, 0.51125, 0.255469, 0.51125, 0.25625, 0.5125, 0.257031, 0.51375, 0.257812, 0.515, 0.258594, 0.51625, 0.259375, 0.5175, 0.260156, 0.51875, 0.260937, 0.52, 0.261719, 0.52125, 0.2625, 0.5225, 0.263281, 0.52375, 0.264062, 0.525, 0.264844, 0.525, 0.265625, 0.52625, 0.265625, 0.5275, 0.266406, 0.52875, 0.267188, 0.53, 0.267969, 0.53, 0.26875, 0.53, 0.269531, 0.53, 0.270313, 0.53, 0.271094, 0.53, 0.271875, 0.53125, 0.272656, 0.5325, 0.273438, 0.53375, 0.274219, 0.535, 0.275, 0.53625, 0.275781, 0.53625, 0.276562, 0.5375, 0.277344, 0.5375, 0.278125, 0.53875, 0.278906, 0.54, 0.279687, 0.54, 0.280469, 0.54125, 0.28125, 0.54125, 0.282031, 0.5425, 0.282813, 0.5425, 0.283594, 0.5425, 0.284375, 0.5425, 0.285156, 0.54375, 0.285938, 0.54375, 0.286719, 0.54375, 0.2875, 0.545, 0.288281, 0.54625, 0.289062, 0.5475, 0.289844, 0.5475, 0.290625, 0.5475, 0.291406, 0.5475, 0.292187, 0.5475, 0.292969, 0.5475, 0.29375, 0.5475, 0.294531, 0.5475, 0.295312, 0.5475, 0.296094, 0.5475, 0.296875, 0.5475, 0.297656, 0.5475, 0.298438, 0.5475, 0.299219, 0.5475, 0.3, 0.5475, 0.300781, 0.5475, 0.301563, 0.5475, 0.302344, 0.5475, 0.303125, 0.5475, 0.303906, 0.5475, 0.304688, 0.5475, 0.305469, 0.5475, 0.30625, 0.5475, 0.307031, 0.5475, 0.307812, 0.5475, 0.308594, 0.5475, 0.309375, 0.5475, 0.310156, 0.5475, 0.310937, 0.5475, 0.311719, 0.5475, 0.3125, 0.5475, 0.313281, 0.5475, 0.314063, 0.5475, 0.314844, 0.5475, 0.315625, 0.5475, 0.316406, 0.5475, 0.317188, 0.5475, 0.317969, 0.5475, 0.31875, 0.5475, 0.319531, 0.54625, 0.320312, 0.545, 0.321094, 0.54375, 0.321875, 0.5425, 0.322656, 0.5425, 0.323437, 0.5425, 0.324219, 0.5425, 0.325, 0.5425, 0.325781, 0.5425, 0.326562, 0.5425, 0.327344, 0.54125, 0.328125, 0.54125, 0.328906, 0.54125, 0.329688, 0.54, 0.330469, 0.53875, 0.33125, 0.5375, 0.332031, 0.5375, 0.332813, 0.53625, 0.333594, 0.53625, 0.334375, 0.53625, 0.335156, 0.53625, 0.335938, 0.53625, 0.336719, 0.535, 0.3375, 0.535, 0.338281, 0.53375, 0.339062, 0.5325, 0.339844, 0.53125, 0.340625, 0.53, 0.341406, 0.53, 0.342187, 0.53, 0.342969, 0.53, 0.34375, 0.53, 0.344531, 0.53, 0.345313, 0.53, 0.346094, 0.52875, 0.346875, 0.5275, 0.347656, 0.52625, 0.348438, 0.525, 0.349219, 0.52375, 0.35, 0.52375, 0.350781, 0.52375, 0.351562, 0.52375, 0.352344, 0.52375, 0.353125, 0.52375, 0.353906, 0.5225, 0.354687, 0.52125, 0.355469, 0.52, 0.35625, 0.51875, 0.357031, 0.5175, 0.357812, 0.5175, 0.358594, 0.5175, 0.359375, 0.5175, 0.360156, 0.5175, 0.360938, 0.5175, 0.361719, 0.51625, 0.3625, 0.51625, 0.3625, 0.515, 0.363281, 0.51375, 0.364063, 0.5125, 0.364844, 0.51125, 0.365625, 0.51125, 0.366406, 0.51125, 0.367188, 0.51125, 0.367969, 0.51125, 0.36875, 0.51, 0.369531, 0.51, 0.369531, 0.50875, 0.370312, 0.5075, 0.371094, 0.50625, 0.371875, 0.505, 0.372656, 0.505, 0.373437, 0.50375, 0.374219, 0.5025, 0.375, 0.50125, 0.375781, 0.5, 0.376563, 0.49875, 0.377344, 0.49875, 0.378125, 0.4975, 0.378906, 0.4975, 0.379688, 0.49625, 0.380469, 0.495, 0.38125, 0.49375, 0.382031, 0.4925, 0.382812, 0.4925, 0.383594, 0.49125, 0.384375, 0.49, 0.385156, 0.48875, 0.385156, 0.4875, 0.385937, 0.48625, 0.386719, 0.485, 0.386719, 0.48375, 0.3875, 0.4825, 0.388281, 0.48125, 0.388281, 0.48, 0.389062, 0.47875, 0.389844, 0.4775, 0.389844, 0.47625, 0.389844, 0.475, 0.390625, 0.47375, 0.390625, 0.4725, 0.390625, 0.47125, 0.391406, 0.47, 0.391406, 0.46875, 0.392188, 0.4675, 0.392969, 0.46625, 0.392969, 0.465, 0.392969, 0.46375, 0.392969, 0.4625, 0.392969, 0.46125, 0.392969, 0.46, 0.392969, 0.45875, 0.392969, 0.4575, 0.392969, 0.45625, 0.392969, 0.455, 0.392969, 0.45375, 0.392969, 0.4525, 0.392969, 0.45125, 0.392969, 0.45, 0.392969, 0.44875, 0.392969, 0.4475, 0.392969, 0.44625, 0.392969, 0.445, 0.392969, 0.44375, 0.392969, 0.4425, 0.392969, 0.44125, 0.392969, 0.44, 0.392969, 0.43875, 0.392969, 0.4375, 0.392969, 0.43625, 0.392969, 0.435, 0.392969, 0.43375, 0.392969, 0.4325, 0.392188, 0.43125, 0.391406, 0.43, 0.390625, 0.42875, 0.390625, 0.4275, 0.389844, 0.42625, 0.389844, 0.425, 0.389062, 0.42375, 0.388281, 0.4225, 0.3875, 0.42125, 0.386719, 0.42, 0.386719, 0.41875, 0.385937, 0.4175, 0.385156, 0.41625, 0.385156, 0.415, 0.384375, 0.41375, 0.383594, 0.41375, 0.382812, 0.4125, 0.382812, 0.41125, 0.382031, 0.41, 0.38125, 0.40875, 0.380469, 0.4075, 0.379688, 0.40625, 0.378906, 0.405, 0.378125, 0.40375, 0.377344, 0.4025, 0.377344, 0.40125, 0.376563, 0.40125, 0.375781, 0.4, 0.375, 0.39875, 0.374219, 0.3975, 0.374219, 0.39625, 0.373437, 0.395, 0.372656, 0.39375, 0.371875, 0.3925, 0.371094, 0.39125, 0.370312, 0.39, 0.369531, 0.38875, 0.36875, 0.3875, 0.367969, 0.3875, 0.367188, 0.3875, 0.366406, 0.38625, 0.365625, 0.38625, 0.364844, 0.385, 0.364063, 0.38375, 0.363281, 0.3825, 0.3625, 0.3825, 0.361719, 0.38125, 0.360938, 0.38125, 0.360156, 0.38, 0.359375, 0.37875, 0.358594, 0.3775, 0.358594, 0.37625, 0.357812, 0.37625, 0.357031, 0.375, 0.35625, 0.375, 0.355469, 0.375, 0.354687, 0.37375, 0.353906, 0.37375, 0.353125, 0.37375, 0.352344, 0.3725, 0.351562, 0.37125, 0.350781, 0.37, 0.35, 0.36875, 0.349219, 0.36875, 0.348438, 0.3675, 0.347656, 0.36625, 0.346875, 0.365, 0.346094, 0.36375, 0.345313, 0.3625, 0.344531, 0.3625, 0.34375, 0.3625, 0.342969, 0.3625, 0.342187, 0.3625, 0.341406, 0.3625, 0.340625, 0.3625, 0.339844, 0.36125, 0.339062, 0.36125, 0.338281, 0.36, 0.3375, 0.35875, 0.336719, 0.3575, 0.335938, 0.3575, 0.335156, 0.35625, 0.334375, 0.35625, 0.333594, 0.35625, 0.332813, 0.35625, 0.332031, 0.35625, 0.33125, 0.35625, 0.330469, 0.35625, 0.329688, 0.35625, 0.328906, 0.35625, 0.328125, 0.35625, 0.327344, 0.35625, 0.326562, 0.35625, 0.325781, 0.35625, 0.325, 0.35625, 0.324219, 0.35625, 0.323437, 0.35625, 0.322656, 0.35625, 0.321875, 0.35625, 0.321094, 0.35625, 0.320312, 0.35625, 0.319531, 0.35625, 0.31875, 0.35625, 0.317969, 0.35625, 0.317188, 0.35625, 0.316406, 0.35625, 0.315625, 0.35625, 0.314844, 0.35625, 0.314063, 0.35625, 0.313281, 0.35625, 0.3125, 0.35625, 0.311719, 0.35625, 0.310937, 0.35625, 0.310156, 0.35625, 0.309375, 0.35625, 0.308594, 0.35625, 0.307812, 0.35625, 0.307031, 0.35625, 0.30625, 0.35625, 0.305469, 0.35625, 0.304688, 0.35625, 0.303906, 0.35625, 0.303125, 0.35625, 0.302344, 0.35625, 0.301563, 0.35625, 0.300781, 0.35625, 0.3, 0.35625, 0.299219, 0.35625, 0.298438, 0.35625, 0.297656, 0.35625, 0.296875, 0.35625, 0.296094, 0.35625, 0.295312, 0.35625, 0.294531, 0.35625, 0.29375, 0.35625, 0.292969, 0.35625, 0.292187, 0.35625, 0.291406, 0.35625, 0.290625, 0.35625, 0.289844, 0.35625, 0.289062, 0.35625, 0.288281, 0.35625, 0.2875, 0.35625, 0.286719, 0.35625 ], [ 3, 0.357031, 0.2125, 0.35625, 0.21375, 0.355469, 0.215, 0.355469, 0.21625, 0.354687, 0.2175, 0.353906, 0.2175, 0.353125, 0.21875, 0.352344, 0.21875, 0.351562, 0.21875, 0.350781, 0.21875, 0.35, 0.21875, 0.349219, 0.21875, 0.348438, 0.22, 0.347656, 0.22125, 0.346875, 0.2225, 0.346094, 0.22375, 0.345313, 0.225, 0.344531, 0.225, 0.34375, 0.225, 0.342969, 0.225, 0.342187, 0.225, 0.341406, 0.225, 0.340625, 0.22625, 0.339844, 0.2275, 0.339844, 0.22875, 0.339062, 0.23, 0.338281, 0.23, 0.3375, 0.23125, 0.336719, 0.2325, 0.335938, 0.23375, 0.335156, 0.235, 0.335156, 0.23625, 0.334375, 0.2375, 0.333594, 0.2375, 0.332813, 0.23875, 0.332031, 0.24, 0.332031, 0.24125, 0.332031, 0.2425, 0.332031, 0.24375, 0.332031, 0.245, 0.332031, 0.24625, 0.33125, 0.2475, 0.33125, 0.24875, 0.330469, 0.25, 0.329688, 0.25, 0.329688, 0.25125, 0.329688, 0.2525, 0.329688, 0.25375, 0.329688, 0.255, 0.329688, 0.25625, 0.329688, 0.2575, 0.329688, 0.25875, 0.329688, 0.26, 0.329688, 0.26125, 0.329688, 0.2625, 0.329688, 0.26375, 0.329688, 0.265, 0.329688, 0.26625, 0.329688, 0.2675, 0.329688, 0.26875, 0.329688, 0.27, 0.329688, 0.27125, 0.329688, 0.2725, 0.329688, 0.27375, 0.329688, 0.275, 0.329688, 0.27625, 0.329688, 0.2775, 0.329688, 0.27875, 0.329688, 0.28, 0.329688, 0.28125, 0.329688, 0.2825, 0.329688, 0.28375, 0.329688, 0.285, 0.329688, 0.28625, 0.329688, 0.2875, 0.329688, 0.28875, 0.329688, 0.29, 0.329688, 0.29125, 0.329688, 0.2925, 0.329688, 0.29375, 0.329688, 0.295, 0.329688, 0.29625, 0.329688, 0.2975, 0.330469, 0.29875, 0.33125, 0.3, 0.33125, 0.30125, 0.332031, 0.3025, 0.332031, 0.30375, 0.332031, 0.305, 0.332031, 0.30625, 0.332031, 0.3075, 0.332031, 0.30875, 0.332031, 0.31, 0.332031, 0.31125, 0.332031, 0.3125, 0.332813, 0.31375, 0.332813, 0.315, 0.332813, 0.31625, 0.333594, 0.3175, 0.334375, 0.3175, 0.335156, 0.31875, 0.335156, 0.32, 0.335938, 0.32125, 0.335938, 0.3225, 0.335938, 0.32375, 0.335938, 0.325, 0.336719, 0.32625, 0.336719, 0.3275, 0.336719, 0.32875, 0.3375, 0.33, 0.338281, 0.33125, 0.339062, 0.3325, 0.339062, 0.33375, 0.339844, 0.335, 0.339844, 0.33625, 0.339844, 0.3375, 0.340625, 0.33875, 0.340625, 0.34, 0.341406, 0.34125, 0.342187, 0.3425, 0.342969, 0.34375, 0.34375, 0.345, 0.344531, 0.34625, 0.345313, 0.3475, 0.345313, 0.34875, 0.346094, 0.35, 0.346875, 0.35125, 0.347656, 0.3525, 0.347656, 0.35375, 0.346875, 0.355, 0.346875, 0.35625, 0.346875, 0.3575, 0.346875, 0.35875, 0.347656, 0.35875, 0.348438, 0.36, 0.349219, 0.36, 0.35, 0.36, 0.350781, 0.36, 0.351562, 0.36, 0.352344, 0.36, 0.353125, 0.36, 0.353906, 0.36, 0.354687, 0.36, 0.355469, 0.36, 0.35625, 0.36, 0.357031, 0.36, 0.357812, 0.36, 0.358594, 0.36, 0.359375, 0.36, 0.360156, 0.36, 0.360938, 0.36, 0.361719, 0.36, 0.3625, 0.36, 0.363281, 0.36, 0.364063, 0.36, 0.364844, 0.36, 0.365625, 0.36, 0.366406, 0.36, 0.367188, 0.36, 0.367969, 0.35875, 0.36875, 0.3575, 0.369531, 0.35625, 0.370312, 0.35625, 0.371094, 0.355, 0.371875, 0.355, 0.372656, 0.35375, 0.373437, 0.3525, 0.374219, 0.35125, 0.375, 0.35, 0.375781, 0.34875, 0.376563, 0.34875, 0.377344, 0.34875, 0.378125, 0.34875, 0.378906, 0.34875, 0.379688, 0.34875, 0.380469, 0.34875, 0.38125, 0.34875, 0.382031, 0.3475, 0.382812, 0.3475, 0.383594, 0.34625, 0.384375, 0.345, 0.385156, 0.345, 0.385937, 0.34375, 0.386719, 0.34375, 0.3875, 0.3425, 0.388281, 0.3425, 0.389062, 0.3425, 0.389844, 0.3425, 0.390625, 0.34125, 0.391406, 0.34125, 0.392188, 0.34125, 0.392969, 0.34, 0.39375, 0.34, 0.394531, 0.33875, 0.395313, 0.3375, 0.396094, 0.3375, 0.396875, 0.3375, 0.397656, 0.3375, 0.398438, 0.3375, 0.399219, 0.3375, 0.4, 0.3375, 0.400781, 0.3375, 0.401562, 0.3375, 0.402344, 0.3375, 0.403125, 0.3375, 0.403906, 0.3375, 0.404687, 0.3375, 0.405469, 0.33625, 0.40625, 0.33625, 0.407031, 0.33625, 0.407813, 0.33625, 0.408594, 0.33625, 0.409375, 0.33625, 0.410156, 0.33625, 0.410938, 0.33625, 0.411719, 0.33625, 0.4125, 0.33625, 0.413281, 0.33625, 0.414062, 0.33625, 0.414844, 0.33625, 0.415625, 0.33625, 0.416406, 0.33625, 0.417187, 0.335, 0.417969, 0.335, 0.41875, 0.335, 0.419531, 0.33375, 0.420312, 0.3325, 0.421094, 0.33125, 0.421875, 0.33, 0.422656, 0.32875, 0.423438, 0.3275, 0.423438, 0.32625, 0.424219, 0.325, 0.424219, 0.32375, 0.424219, 0.3225, 0.425, 0.32125, 0.425, 0.32, 0.425, 0.31875, 0.425, 0.3175, 0.425, 0.31625, 0.425781, 0.315, 0.425781, 0.31375, 0.426563, 0.3125, 0.426563, 0.31125, 0.427344, 0.31, 0.428125, 0.30875, 0.428125, 0.3075, 0.428125, 0.30625, 0.428125, 0.305, 0.428906, 0.30375, 0.428906, 0.3025, 0.428906, 0.30125, 0.428906, 0.3, 0.428906, 0.29875, 0.428906, 0.2975, 0.428906, 0.29625, 0.428906, 0.295, 0.428906, 0.29375, 0.428906, 0.2925, 0.428906, 0.29125, 0.428906, 0.29, 0.428906, 0.28875, 0.428906, 0.2875, 0.428906, 0.28625, 0.428906, 0.285, 0.428906, 0.28375, 0.429688, 0.2825, 0.429688, 0.28125, 0.429688, 0.28, 0.429688, 0.27875, 0.430469, 0.2775, 0.430469, 0.27625, 0.430469, 0.275, 0.430469, 0.27375, 0.430469, 0.2725, 0.430469, 0.27125, 0.430469, 0.27, 0.430469, 0.26875, 0.430469, 0.2675, 0.430469, 0.26625, 0.430469, 0.265, 0.429688, 0.26375, 0.429688, 0.2625, 0.429688, 0.26125, 0.428906, 0.26, 0.428906, 0.25875, 0.428906, 0.2575, 0.428906, 0.25625, 0.428906, 0.255, 0.428906, 0.25375, 0.428906, 0.2525, 0.428125, 0.25125, 0.427344, 0.25, 0.426563, 0.24875, 0.425781, 0.2475, 0.425, 0.24625, 0.424219, 0.245, 0.423438, 0.24375, 0.422656, 0.2425, 0.421875, 0.24125, 0.421094, 0.24, 0.420312, 0.23875, 0.419531, 0.2375, 0.41875, 0.23625, 0.417969, 0.235, 0.417187, 0.23375, 0.416406, 0.2325, 0.415625, 0.23125, 0.414844, 0.23125, 0.414062, 0.23, 0.413281, 0.22875, 0.413281, 0.2275, 0.4125, 0.22625, 0.411719, 0.225, 0.410938, 0.225, 0.410156, 0.22375, 0.409375, 0.2225, 0.408594, 0.22125, 0.408594, 0.22, 0.407813, 0.22, 0.407031, 0.21875, 0.40625, 0.21875, 0.405469, 0.21875, 0.404687, 0.21875, 0.403906, 0.21875, 0.403125, 0.21875, 0.402344, 0.21875, 0.401562, 0.21875, 0.400781, 0.21875, 0.4, 0.21875, 0.399219, 0.2175, 0.398438, 0.21625, 0.397656, 0.215, 0.397656, 0.21375, 0.396875, 0.21375, 0.396094, 0.2125, 0.395313, 0.2125, 0.394531, 0.2125, 0.39375, 0.2125, 0.392969, 0.2125, 0.392188, 0.2125, 0.391406, 0.2125, 0.390625, 0.2125, 0.389844, 0.2125, 0.389062, 0.2125, 0.388281, 0.2125, 0.3875, 0.2125, 0.386719, 0.2125, 0.385937, 0.2125, 0.385156, 0.2125, 0.384375, 0.2125, 0.383594, 0.2125, 0.382812, 0.2125, 0.382031, 0.2125, 0.38125, 0.2125, 0.380469, 0.2125, 0.379688, 0.2125, 0.378906, 0.2125, 0.378125, 0.2125, 0.377344, 0.2125, 0.376563, 0.2125, 0.375781, 0.2125, 0.375, 0.2125, 0.374219, 0.2125, 0.373437, 0.2125, 0.372656, 0.2125, 0.371875, 0.2125, 0.371094, 0.2125, 0.370312, 0.2125, 0.369531, 0.2125, 0.36875, 0.2125, 0.367969, 0.2125, 0.367188, 0.2125, 0.366406, 0.2125, 0.365625, 0.2125, 0.364844, 0.2125, 0.364063, 0.2125, 0.363281, 0.2125, 0.3625, 0.2125, 0.361719, 0.2125, 0.360938, 0.2125, 0.360156, 0.2125, 0.359375, 0.2125, 0.358594, 0.2125, 0.357812, 0.2125 ], [ 2, 0.710938, 0.34125, 0.710156, 0.3425, 0.709375, 0.3425, 0.708594, 0.3425, 0.707812, 0.34375, 0.707031, 0.34375, 0.70625, 0.34375, 0.705469, 0.34375, 0.704688, 0.34375, 0.703906, 0.34375, 0.703125, 0.34375, 0.702344, 0.34375, 0.701562, 0.34375, 0.700781, 0.34375, 0.7, 0.34375, 0.699219, 0.34375, 0.698438, 0.34375, 0.697656, 0.34375, 0.696875, 0.34375, 0.696094, 0.34375, 0.695312, 0.34375, 0.694531, 0.34375, 0.69375, 0.34375, 0.692969, 0.34375, 0.692187, 0.34375, 0.691406, 0.34375, 0.690625, 0.34375, 0.689844, 0.34375, 0.689063, 0.34375, 0.688281, 0.345, 0.6875, 0.34625, 0.686719, 0.3475, 0.685937, 0.34875, 0.685156, 0.35, 0.684375, 0.35, 0.683594, 0.35, 0.682813, 0.35, 0.682031, 0.35, 0.68125, 0.35, 0.680469, 0.35, 0.679688, 0.35, 0.678906, 0.35, 0.678125, 0.35, 0.677344, 0.35, 0.676562, 0.35125, 0.675781, 0.3525, 0.675781, 0.35375, 0.675, 0.355, 0.674219, 0.355, 0.673438, 0.35625, 0.672656, 0.3575, 0.671875, 0.35875, 0.671094, 0.36, 0.670312, 0.36125, 0.669531, 0.3625, 0.66875, 0.3625, 0.667969, 0.3625, 0.667188, 0.3625, 0.666406, 0.3625, 0.665625, 0.3625, 0.664844, 0.36375, 0.664062, 0.365, 0.664062, 0.36625, 0.663281, 0.3675, 0.6625, 0.3675, 0.661719, 0.36875, 0.660937, 0.36875, 0.660156, 0.37, 0.659375, 0.37125, 0.658594, 0.3725, 0.657813, 0.37375, 0.657813, 0.375, 0.657813, 0.37625, 0.657813, 0.3775, 0.657813, 0.37875, 0.657813, 0.38, 0.657813, 0.38125, 0.657813, 0.3825, 0.657813, 0.38375, 0.657813, 0.385, 0.657813, 0.38625, 0.657813, 0.3875, 0.657813, 0.38875, 0.657813, 0.39, 0.657813, 0.39125, 0.657813, 0.3925, 0.657813, 0.39375, 0.657813, 0.395, 0.657813, 0.39625, 0.657813, 0.3975, 0.657813, 0.39875, 0.657813, 0.4, 0.657813, 0.40125, 0.657813, 0.4025, 0.657813, 0.40375, 0.657813, 0.405, 0.657813, 0.40625, 0.657813, 0.4075, 0.657813, 0.40875, 0.657813, 0.41, 0.657813, 0.41125, 0.657813, 0.4125, 0.657813, 0.41375, 0.657813, 0.415, 0.657813, 0.41625, 0.657813, 0.4175, 0.657813, 0.41875, 0.657813, 0.42, 0.657813, 0.42125, 0.657813, 0.4225, 0.658594, 0.42375, 0.659375, 0.425, 0.659375, 0.42625, 0.660156, 0.4275, 0.660156, 0.42875, 0.660156, 0.43, 0.660937, 0.43125, 0.660937, 0.4325, 0.661719, 0.43375, 0.6625, 0.435, 0.663281, 0.43625, 0.663281, 0.4375, 0.664062, 0.43875, 0.664062, 0.44, 0.664844, 0.44125, 0.664844, 0.4425, 0.664844, 0.44375, 0.665625, 0.445, 0.666406, 0.44625, 0.666406, 0.4475, 0.666406, 0.44875, 0.666406, 0.45, 0.666406, 0.45125, 0.666406, 0.4525, 0.666406, 0.45375, 0.667188, 0.455, 0.667188, 0.45625, 0.667188, 0.4575, 0.667188, 0.45875, 0.667969, 0.46, 0.667969, 0.46125, 0.667969, 0.4625, 0.667969, 0.46375, 0.667969, 0.465, 0.667969, 0.46625, 0.667969, 0.4675, 0.667969, 0.46875, 0.667969, 0.47, 0.667969, 0.47125, 0.66875, 0.4725, 0.669531, 0.47375, 0.670312, 0.475, 0.671094, 0.47625, 0.671875, 0.4775, 0.671875, 0.47875, 0.671875, 0.48, 0.672656, 0.48125, 0.672656, 0.4825, 0.673438, 0.48375, 0.674219, 0.485, 0.675, 0.48625, 0.675781, 0.4875, 0.676562, 0.48875, 0.677344, 0.49, 0.678125, 0.49, 0.678906, 0.49125, 0.679688, 0.49125, 0.680469, 0.4925, 0.68125, 0.4925, 0.682031, 0.49375, 0.682813, 0.49375, 0.683594, 0.495, 0.684375, 0.49625, 0.685156, 0.4975, 0.685937, 0.4975, 0.686719, 0.49875, 0.6875, 0.49875, 0.688281, 0.49875, 0.689063, 0.49875, 0.689844, 0.49875, 0.690625, 0.49875, 0.691406, 0.5, 0.692187, 0.5, 0.692969, 0.5, 0.69375, 0.50125, 0.694531, 0.50125, 0.695312, 0.5025, 0.696094, 0.50375, 0.696875, 0.50375, 0.697656, 0.50375, 0.698438, 0.505, 0.699219, 0.505, 0.7, 0.505, 0.700781, 0.505, 0.701562, 0.505, 0.702344, 0.50625, 0.703125, 0.50625, 0.703906, 0.50625, 0.704688, 0.50625, 0.705469, 0.50625, 0.70625, 0.50625, 0.707031, 0.50625, 0.707812, 0.50625, 0.708594, 0.50625, 0.709375, 0.50625, 0.710156, 0.50625, 0.710938, 0.50625, 0.711719, 0.50625, 0.7125, 0.50625, 0.713281, 0.50625, 0.714063, 0.50625, 0.714844, 0.50625, 0.715625, 0.50625, 0.716406, 0.50625, 0.717187, 0.50625, 0.717969, 0.50625, 0.71875, 0.50625, 0.719531, 0.50625, 0.720313, 0.50625, 0.721094, 0.50625, 0.721875, 0.50625, 0.722656, 0.505, 0.723437, 0.505, 0.724219, 0.505, 0.725, 0.50375, 0.725781, 0.5025, 0.726562, 0.50125, 0.727344, 0.5, 0.728125, 0.49875, 0.728906, 0.4975, 0.729688, 0.49625, 0.730469, 0.495, 0.73125, 0.49375, 0.732031, 0.4925, 0.732812, 0.49125, 0.733594, 0.49, 0.733594, 0.48875, 0.733594, 0.4875, 0.733594, 0.48625, 0.733594, 0.485, 0.733594, 0.48375, 0.733594, 0.4825, 0.733594, 0.48125, 0.733594, 0.48, 0.733594, 0.47875, 0.733594, 0.4775, 0.733594, 0.47625, 0.733594, 0.475, 0.733594, 0.47375, 0.733594, 0.4725, 0.733594, 0.47125, 0.733594, 0.47, 0.734375, 0.46875, 0.735156, 0.4675, 0.735938, 0.46625, 0.736719, 0.465, 0.7375, 0.46375, 0.738281, 0.4625, 0.739062, 0.46125, 0.739844, 0.46125, 0.740625, 0.46, 0.740625, 0.45875, 0.741406, 0.4575, 0.741406, 0.45625, 0.742188, 0.455, 0.742188, 0.45375, 0.742969, 0.4525, 0.742969, 0.45125, 0.74375, 0.45, 0.744531, 0.44875, 0.745313, 0.4475, 0.745313, 0.44625, 0.745313, 0.445, 0.746094, 0.44375, 0.746875, 0.4425, 0.747656, 0.44125, 0.748437, 0.44, 0.748437, 0.43875, 0.749219, 0.4375, 0.749219, 0.43625, 0.749219, 0.435, 0.749219, 0.43375, 0.749219, 0.4325, 0.75, 0.43125, 0.75, 0.43, 0.75, 0.42875, 0.750781, 0.4275, 0.751563, 0.42625, 0.752344, 0.425, 0.752344, 0.42375, 0.753125, 0.4225, 0.753125, 0.42125, 0.753125, 0.42, 0.753906, 0.41875, 0.753906, 0.4175, 0.753906, 0.41625, 0.754687, 0.415, 0.755469, 0.41375, 0.75625, 0.4125, 0.75625, 0.41125, 0.757031, 0.41, 0.757031, 0.40875, 0.757031, 0.4075, 0.757812, 0.40625, 0.757812, 0.405, 0.757812, 0.40375, 0.758594, 0.4025, 0.758594, 0.40125, 0.759375, 0.4, 0.760156, 0.39875, 0.760938, 0.3975, 0.760938, 0.39625, 0.760938, 0.395, 0.760938, 0.39375, 0.760938, 0.3925, 0.761719, 0.39125, 0.761719, 0.39, 0.761719, 0.38875, 0.761719, 0.3875, 0.7625, 0.38625, 0.7625, 0.385, 0.763281, 0.38375, 0.764062, 0.3825, 0.764844, 0.3825, 0.765625, 0.3825, 0.766406, 0.38125, 0.767188, 0.38, 0.767188, 0.37875, 0.767188, 0.3775, 0.767188, 0.37625, 0.767188, 0.375, 0.766406, 0.37375, 0.766406, 0.3725, 0.765625, 0.37125, 0.765625, 0.37, 0.764844, 0.36875, 0.764844, 0.3675, 0.764844, 0.36625, 0.764844, 0.365, 0.764844, 0.36375, 0.764062, 0.3625, 0.764062, 0.36125, 0.764062, 0.36, 0.764062, 0.35875, 0.763281, 0.3575, 0.7625, 0.35625, 0.761719, 0.35625, 0.760938, 0.355, 0.760156, 0.35375, 0.759375, 0.3525, 0.758594, 0.3525, 0.757812, 0.35125, 0.757031, 0.35125, 0.75625, 0.35125, 0.755469, 0.35125, 0.754687, 0.35125, 0.753906, 0.35125, 0.753125, 0.35, 0.752344, 0.35, 0.751563, 0.35, 0.750781, 0.35, 0.75, 0.34875, 0.749219, 0.34875, 0.748437, 0.3475, 0.747656, 0.34625, 0.746875, 0.34625, 0.746094, 0.345, 0.745313, 0.345, 0.744531, 0.345, 0.74375, 0.34375, 0.742969, 0.34375, 0.742188, 0.34375, 0.741406, 0.34375, 0.740625, 0.34375, 0.739844, 0.34375, 0.739062, 0.34375, 0.738281, 0.34375, 0.7375, 0.34375, 0.736719, 0.34375, 0.735938, 0.34375, 0.735156, 0.34375, 0.734375, 0.34375, 0.733594, 0.34375, 0.732812, 0.34375, 0.732031, 0.34375, 0.73125, 0.3425, 0.730469, 0.34125, 0.729688, 0.34125, 0.728906, 0.34125, 0.728125, 0.34125, 0.727344, 0.34125, 0.726562, 0.34125, 0.725781, 0.34125, 0.725, 0.34125, 0.724219, 0.34125, 0.723437, 0.34125, 0.722656, 0.34125, 0.721875, 0.34125, 0.721094, 0.34125, 0.720313, 0.34125, 0.719531, 0.34125, 0.71875, 0.34125, 0.717969, 0.34125, 0.717187, 0.34125, 0.716406, 0.34125, 0.715625, 0.34125, 0.714844, 0.34125, 0.714063, 0.34125, 0.713281, 0.34125, 0.7125, 0.34125, 0.711719, 0.34125 ], [ 2, 0.660156, 0.5025, 0.660156, 0.50375, 0.660156, 0.505, 0.659375, 0.50625, 0.659375, 0.5075, 0.658594, 0.50875, 0.657813, 0.51, 0.657031, 0.51125, 0.65625, 0.51125, 0.655469, 0.51125, 0.654687, 0.5125, 0.653906, 0.5125, 0.653125, 0.5125, 0.652344, 0.5125, 0.651563, 0.5125, 0.650781, 0.5125, 0.65, 0.5125, 0.649219, 0.51375, 0.648438, 0.515, 0.647656, 0.51625, 0.646875, 0.5175, 0.646094, 0.51875, 0.645312, 0.51875, 0.644531, 0.51875, 0.64375, 0.51875, 0.642969, 0.51875, 0.642188, 0.51875, 0.641406, 0.52, 0.640625, 0.52125, 0.639844, 0.5225, 0.639062, 0.52375, 0.638281, 0.525, 0.6375, 0.52625, 0.636719, 0.5275, 0.636719, 0.52875, 0.635938, 0.53, 0.635156, 0.53125, 0.634375, 0.5325, 0.633594, 0.53375, 0.633594, 0.535, 0.633594, 0.53625, 0.632812, 0.5375, 0.632812, 0.53875, 0.632812, 0.54, 0.632031, 0.54125, 0.63125, 0.5425, 0.630469, 0.54375, 0.629687, 0.545, 0.628906, 0.54625, 0.628906, 0.5475, 0.628906, 0.54875, 0.628906, 0.55, 0.628906, 0.55125, 0.628906, 0.5525, 0.628906, 0.55375, 0.628906, 0.555, 0.628906, 0.55625, 0.628906, 0.5575, 0.628906, 0.55875, 0.628906, 0.56, 0.628906, 0.56125, 0.628906, 0.5625, 0.628906, 0.56375, 0.628906, 0.565, 0.628906, 0.56625, 0.628906, 0.5675, 0.628906, 0.56875, 0.628906, 0.57, 0.628906, 0.57125, 0.628906, 0.5725, 0.629687, 0.5725, 0.630469, 0.57375, 0.63125, 0.57375, 0.632031, 0.575, 0.632812, 0.575, 0.633594, 0.57625, 0.634375, 0.57625, 0.635156, 0.5775, 0.635938, 0.57875, 0.636719, 0.57875, 0.6375, 0.57875, 0.638281, 0.58, 0.639062, 0.58, 0.639844, 0.58, 0.640625, 0.58, 0.641406, 0.58, 0.642188, 0.58, 0.642969, 0.58125, 0.64375, 0.58125, 0.644531, 0.5825, 0.645312, 0.58375, 0.646094, 0.585, 0.646875, 0.585, 0.647656, 0.58625, 0.648438, 0.58625, 0.649219, 0.5875, 0.65, 0.58875, 0.650781, 0.58875, 0.651563, 0.59, 0.652344, 0.59125, 0.653125, 0.5925, 0.653906, 0.5925, 0.654687, 0.5925, 0.655469, 0.5925, 0.65625, 0.5925, 0.657031, 0.5925, 0.657813, 0.59375, 0.658594, 0.59375, 0.659375, 0.595, 0.660156, 0.59625, 0.660937, 0.5975, 0.661719, 0.5975, 0.6625, 0.59875, 0.663281, 0.59875, 0.664062, 0.59875, 0.664844, 0.59875, 0.665625, 0.59875, 0.666406, 0.6, 0.667188, 0.6, 0.667969, 0.60125, 0.66875, 0.6025, 0.669531, 0.60375, 0.670312, 0.605, 0.671094, 0.60625, 0.671875, 0.6075, 0.671875, 0.60875, 0.672656, 0.61, 0.673438, 0.61125, 0.674219, 0.61125, 0.675, 0.6125, 0.675781, 0.61375, 0.675781, 0.615, 0.676562, 0.61625, 0.677344, 0.6175, 0.678125, 0.6175, 0.678906, 0.61875, 0.679688, 0.62, 0.680469, 0.62125, 0.680469, 0.6225, 0.68125, 0.6225, 0.682031, 0.62375, 0.682813, 0.62375, 0.683594, 0.62375, 0.684375, 0.62375, 0.685156, 0.62375, 0.685937, 0.62375, 0.686719, 0.62375, 0.6875, 0.62375, 0.688281, 0.62375, 0.689063, 0.62375, 0.689844, 0.62375, 0.690625, 0.62375, 0.691406, 0.6225, 0.692187, 0.6225, 0.692969, 0.62125, 0.69375, 0.62, 0.694531, 0.61875, 0.695312, 0.6175, 0.696094, 0.6175, 0.696875, 0.61625, 0.697656, 0.61625, 0.697656, 0.615, 0.698438, 0.61375, 0.698438, 0.6125, 0.699219, 0.61125, 0.7, 0.61, 0.700781, 0.60875, 0.701562, 0.6075, 0.701562, 0.60625, 0.702344, 0.605, 0.703125, 0.60375, 0.703125, 0.6025, 0.703906, 0.60125, 0.704688, 0.6, 0.705469, 0.59875, 0.70625, 0.5975, 0.70625, 0.59625, 0.707031, 0.595, 0.707812, 0.59375, 0.708594, 0.5925, 0.709375, 0.5925, 0.710156, 0.59125, 0.710938, 0.59, 0.710938, 0.58875, 0.711719, 0.5875, 0.7125, 0.5875, 0.713281, 0.58625, 0.714063, 0.58625, 0.714844, 0.585, 0.715625, 0.58375, 0.716406, 0.5825, 0.717187, 0.58125, 0.717969, 0.58125, 0.71875, 0.58, 0.719531, 0.58, 0.720313, 0.57875, 0.721094, 0.57875, 0.721875, 0.5775, 0.721875, 0.57625, 0.722656, 0.575, 0.723437, 0.57375, 0.724219, 0.57375, 0.725, 0.5725, 0.725781, 0.5725, 0.726562, 0.57125, 0.727344, 0.57, 0.728125, 0.56875, 0.728906, 0.5675, 0.729688, 0.5675, 0.730469, 0.56625, 0.73125, 0.56625, 0.732031, 0.56625, 0.732812, 0.565, 0.733594, 0.56375, 0.733594, 0.5625, 0.734375, 0.56125, 0.735156, 0.56, 0.735938, 0.56, 0.735938, 0.55875, 0.735938, 0.5575, 0.735938, 0.55625, 0.735938, 0.555, 0.735938, 0.55375, 0.735938, 0.5525, 0.735938, 0.55125, 0.735938, 0.55, 0.735938, 0.54875, 0.735938, 0.5475, 0.735938, 0.54625, 0.735938, 0.545, 0.735938, 0.54375, 0.735938, 0.5425, 0.735938, 0.54125, 0.735938, 0.54, 0.735938, 0.53875, 0.735938, 0.5375, 0.735938, 0.53625, 0.735938, 0.535, 0.735938, 0.53375, 0.735938, 0.5325, 0.735938, 0.53125, 0.735938, 0.53, 0.735938, 0.52875, 0.735938, 0.5275, 0.735156, 0.52625, 0.734375, 0.52625, 0.733594, 0.525, 0.733594, 0.52375, 0.732812, 0.5225, 0.732812, 0.52125, 0.732031, 0.52, 0.73125, 0.52, 0.730469, 0.51875, 0.729688, 0.5175, 0.728906, 0.51625, 0.728906, 0.515, 0.728125, 0.51375, 0.727344, 0.51375, 0.726562, 0.51375, 0.725781, 0.51375, 0.725, 0.51375, 0.724219, 0.51375, 0.723437, 0.51375, 0.722656, 0.51375, 0.721875, 0.51375, 0.721094, 0.51375, 0.720313, 0.51375, 0.719531, 0.515, 0.719531, 0.51625, 0.719531, 0.5175, 0.719531, 0.51875, 0.71875, 0.52, 0.717969, 0.52125, 0.717187, 0.52125, 0.716406, 0.52125, 0.715625, 0.52125, 0.714844, 0.52125, 0.714063, 0.52125, 0.713281, 0.52, 0.7125, 0.52, 0.711719, 0.52, 0.710938, 0.51875, 0.710156, 0.51875, 0.709375, 0.5175, 0.708594, 0.51625, 0.707812, 0.51625, 0.707031, 0.5175, 0.70625, 0.5175, 0.705469, 0.5175, 0.704688, 0.5175, 0.703906, 0.5175, 0.703125, 0.5175, 0.702344, 0.5175, 0.701562, 0.5175, 0.700781, 0.5175, 0.7, 0.51625, 0.699219, 0.51625, 0.698438, 0.51625, 0.697656, 0.51625, 0.696875, 0.51625, 0.696094, 0.515, 0.695312, 0.51375, 0.694531, 0.51375, 0.69375, 0.5125, 0.692969, 0.5125, 0.692187, 0.51125, 0.691406, 0.51125, 0.690625, 0.51, 0.689844, 0.51, 0.689063, 0.51, 0.688281, 0.50875, 0.6875, 0.5075, 0.686719, 0.50625, 0.685937, 0.505, 0.685156, 0.50375, 0.684375, 0.50375, 0.683594, 0.50375, 0.682813, 0.50375, 0.682031, 0.50375, 0.68125, 0.50375, 0.680469, 0.5025, 0.679688, 0.5025, 0.678906, 0.5025, 0.678125, 0.5025, 0.677344, 0.5025, 0.676562, 0.5025, 0.675781, 0.5025, 0.675, 0.5025, 0.674219, 0.5025, 0.673438, 0.5025, 0.672656, 0.5025, 0.671875, 0.5025, 0.671094, 0.5025, 0.670312, 0.5025, 0.669531, 0.5025, 0.66875, 0.5025, 0.667969, 0.5025, 0.667188, 0.5025, 0.666406, 0.5025, 0.665625, 0.5025, 0.664844, 0.5025, 0.664062, 0.5025, 0.663281, 0.5025, 0.6625, 0.5025, 0.661719, 0.5025, 0.660937, 0.5025 ], [ 2, 0.75225, 0.2878, 0.770039, 0.282375, 0.788687, 0.297288, 0.807328, 0.329825, 0.809023, 0.348813, 0.794617, 0.352888, 0.789531, 0.366437, 0.779367, 0.365088, 0.769195, 0.385425, 0.766656, 0.362375, 0.76157, 0.347463, 0.753094, 0.347463, 0.745469, 0.342037, 0.734445, 0.343387, 0.728516, 0.337962, 0.720039, 0.336613, 0.72343, 0.320337, 0.731062, 0.309488, 0.739531, 0.302712, 0.744617, 0.293225 ], [ 2, 0.377344, 0.50125, 0.376563, 0.5025, 0.375781, 0.50375, 0.375, 0.505, 0.374219, 0.505, 0.373437, 0.50625, 0.372656, 0.50625, 0.371875, 0.5075, 0.371094, 0.50875, 0.370312, 0.51, 0.369531, 0.51125, 0.36875, 0.5125, 0.367969, 0.5125, 0.367188, 0.5125, 0.366406, 0.51375, 0.365625, 0.51375, 0.364844, 0.51375, 0.364063, 0.515, 0.363281, 0.51625, 0.3625, 0.5175, 0.361719, 0.51875, 0.360938, 0.51875, 0.360156, 0.51875, 0.359375, 0.51875, 0.358594, 0.51875, 0.357812, 0.51875, 0.357031, 0.52, 0.35625, 0.52, 0.35625, 0.52125, 0.355469, 0.5225, 0.354687, 0.52375, 0.353906, 0.525, 0.353125, 0.525, 0.352344, 0.525, 0.351562, 0.525, 0.350781, 0.525, 0.35, 0.525, 0.349219, 0.525, 0.348438, 0.52625, 0.347656, 0.5275, 0.347656, 0.52875, 0.346875, 0.53, 0.346094, 0.53, 0.345313, 0.53125, 0.344531, 0.53125, 0.34375, 0.53125, 0.342969, 0.53125, 0.342187, 0.53125, 0.341406, 0.53125, 0.340625, 0.5325, 0.339844, 0.53375, 0.339844, 0.535, 0.339062, 0.53625, 0.338281, 0.53625, 0.3375, 0.5375, 0.336719, 0.5375, 0.335938, 0.5375, 0.335156, 0.5375, 0.334375, 0.5375, 0.333594, 0.5375, 0.332813, 0.53875, 0.332031, 0.54, 0.33125, 0.54125, 0.330469, 0.5425, 0.329688, 0.54375, 0.328906, 0.54375, 0.328125, 0.54375, 0.327344, 0.54375, 0.326562, 0.54375, 0.325781, 0.54375, 0.325, 0.545, 0.324219, 0.54625, 0.323437, 0.5475, 0.322656, 0.54875, 0.321875, 0.54875, 0.321094, 0.55, 0.320312, 0.55, 0.319531, 0.55125, 0.31875, 0.55125, 0.31875, 0.5525, 0.31875, 0.55375, 0.31875, 0.555, 0.31875, 0.55625, 0.31875, 0.5575, 0.31875, 0.55875, 0.31875, 0.56, 0.31875, 0.56125, 0.31875, 0.5625, 0.31875, 0.56375, 0.31875, 0.565, 0.31875, 0.56625, 0.31875, 0.5675, 0.31875, 0.56875, 0.31875, 0.57, 0.31875, 0.57125, 0.31875, 0.5725, 0.31875, 0.57375, 0.31875, 0.575, 0.31875, 0.57625, 0.31875, 0.5775, 0.31875, 0.57875, 0.31875, 0.58, 0.31875, 0.58125, 0.31875, 0.5825, 0.31875, 0.58375, 0.31875, 0.585, 0.31875, 0.58625, 0.31875, 0.5875, 0.31875, 0.58875, 0.31875, 0.59, 0.31875, 0.59125, 0.31875, 0.5925, 0.31875, 0.59375, 0.31875, 0.595, 0.31875, 0.59625, 0.31875, 0.5975, 0.31875, 0.59875, 0.319531, 0.6, 0.319531, 0.60125, 0.320312, 0.6025, 0.320312, 0.60375, 0.320312, 0.605, 0.320312, 0.60625, 0.320312, 0.6075, 0.320312, 0.60875, 0.321094, 0.61, 0.321875, 0.61125, 0.322656, 0.6125, 0.323437, 0.61375, 0.324219, 0.615, 0.324219, 0.61625, 0.325, 0.6175, 0.325781, 0.6175, 0.326562, 0.61875, 0.327344, 0.62, 0.328125, 0.62125, 0.328906, 0.62125, 0.329688, 0.62125, 0.330469, 0.62125, 0.33125, 0.62125, 0.332031, 0.62, 0.332813, 0.61875, 0.333594, 0.6175, 0.334375, 0.61625, 0.335156, 0.615, 0.335156, 0.61375, 0.335156, 0.6125, 0.335156, 0.61125, 0.335156, 0.61, 0.335156, 0.60875, 0.335938, 0.6075, 0.336719, 0.60625, 0.3375, 0.605, 0.338281, 0.605, 0.338281, 0.60375, 0.339062, 0.6025, 0.339844, 0.60125, 0.340625, 0.6, 0.341406, 0.59875, 0.342187, 0.5975, 0.342969, 0.59625, 0.34375, 0.595, 0.344531, 0.59375, 0.345313, 0.5925, 0.346094, 0.5925, 0.346875, 0.5925, 0.347656, 0.59125, 0.348438, 0.59125, 0.349219, 0.59125, 0.35, 0.59125, 0.350781, 0.59, 0.351562, 0.59, 0.352344, 0.59, 0.353125, 0.58875, 0.353906, 0.58875, 0.354687, 0.58875, 0.355469, 0.58875, 0.35625, 0.58875, 0.357031, 0.58875, 0.357812, 0.58875, 0.358594, 0.5875, 0.359375, 0.5875, 0.360156, 0.5875, 0.360938, 0.5875, 0.361719, 0.58875, 0.3625, 0.59, 0.363281, 0.59, 0.364063, 0.59125, 0.364844, 0.59125, 0.365625, 0.59125, 0.366406, 0.59125, 0.367188, 0.59125, 0.367969, 0.59, 0.36875, 0.59, 0.369531, 0.59, 0.370312, 0.59, 0.371094, 0.59, 0.371875, 0.59, 0.372656, 0.59, 0.373437, 0.59, 0.374219, 0.59, 0.375, 0.59, 0.375781, 0.59, 0.376563, 0.59, 0.377344, 0.59, 0.378125, 0.59, 0.378906, 0.59125, 0.379688, 0.59125, 0.380469, 0.59125, 0.38125, 0.59125, 0.382031, 0.59125, 0.382812, 0.59125, 0.383594, 0.59125, 0.384375, 0.59125, 0.385156, 0.59, 0.385937, 0.59, 0.386719, 0.59, 0.3875, 0.58875, 0.388281, 0.58875, 0.389062, 0.5875, 0.389844, 0.58625, 0.390625, 0.58625, 0.391406, 0.58625, 0.392188, 0.58625, 0.392969, 0.58625, 0.39375, 0.58625, 0.394531, 0.58625, 0.395313, 0.58625, 0.396094, 0.58625, 0.396875, 0.58625, 0.397656, 0.58625, 0.398438, 0.58625, 0.399219, 0.58625, 0.4, 0.58625, 0.400781, 0.58625, 0.401562, 0.58625, 0.402344, 0.58625, 0.403125, 0.58625, 0.403906, 0.58625, 0.404687, 0.585, 0.405469, 0.585, 0.405469, 0.58375, 0.40625, 0.5825, 0.407031, 0.58125, 0.407813, 0.58125, 0.408594, 0.58, 0.409375, 0.57875, 0.409375, 0.5775, 0.410156, 0.57625, 0.410156, 0.575, 0.410938, 0.57375, 0.411719, 0.5725, 0.411719, 0.57125, 0.411719, 0.57, 0.411719, 0.56875, 0.411719, 0.5675, 0.4125, 0.56625, 0.4125, 0.565, 0.4125, 0.56375, 0.4125, 0.5625, 0.4125, 0.56125, 0.4125, 0.56, 0.4125, 0.55875, 0.4125, 0.5575, 0.413281, 0.55625, 0.413281, 0.555, 0.413281, 0.55375, 0.413281, 0.5525, 0.413281, 0.55125, 0.413281, 0.55, 0.413281, 0.54875, 0.413281, 0.5475, 0.413281, 0.54625, 0.413281, 0.545, 0.413281, 0.54375, 0.413281, 0.5425, 0.413281, 0.54125, 0.413281, 0.54, 0.413281, 0.53875, 0.413281, 0.5375, 0.413281, 0.53625, 0.413281, 0.535, 0.413281, 0.53375, 0.413281, 0.5325, 0.413281, 0.53125, 0.413281, 0.53, 0.4125, 0.52875, 0.4125, 0.5275, 0.411719, 0.52625, 0.411719, 0.525, 0.410938, 0.52375, 0.410156, 0.52375, 0.409375, 0.52375, 0.408594, 0.5225, 0.407813, 0.5225, 0.407031, 0.52125, 0.407031, 0.52, 0.40625, 0.51875, 0.40625, 0.5175, 0.40625, 0.51625, 0.405469, 0.515, 0.405469, 0.51375, 0.404687, 0.5125, 0.403906, 0.51125, 0.40307, 0.5099, 0.402289, 0.50865, 0.40143, 0.50615, 0.400492, 0.504275, 0.398617, 0.501912, 0.397656, 0.50125, 0.396875, 0.50125, 0.396094, 0.50125, 0.395313, 0.50125, 0.394531, 0.50125, 0.39375, 0.50125, 0.392969, 0.50125, 0.392188, 0.50125, 0.391406, 0.50125, 0.390625, 0.50125, 0.389844, 0.50125, 0.389062, 0.50125, 0.388281, 0.50125, 0.3875, 0.50125, 0.386719, 0.50125, 0.385937, 0.50125, 0.385156, 0.50125, 0.384375, 0.50125, 0.383594, 0.50125, 0.382812, 0.50125, 0.382031, 0.50125, 0.38125, 0.50125, 0.380469, 0.50125, 0.379688, 0.50125, 0.378906, 0.50125, 0.378125, 0.50125 ], [ 2, 0.464062, 0.4675, 0.463281, 0.46875, 0.4625, 0.46875, 0.461719, 0.46875, 0.460938, 0.46875, 0.460156, 0.46875, 0.459375, 0.46875, 0.458594, 0.46875, 0.457813, 0.47, 0.457031, 0.47, 0.457031, 0.47125, 0.45625, 0.4725, 0.455469, 0.47375, 0.454688, 0.475, 0.453906, 0.475, 0.453125, 0.475, 0.452344, 0.475, 0.451562, 0.475, 0.450781, 0.475, 0.45, 0.47625, 0.449219, 0.47625, 0.449219, 0.4775, 0.448437, 0.47875, 0.447656, 0.48, 0.446875, 0.48125, 0.446094, 0.48125, 0.445312, 0.48125, 0.444531, 0.48125, 0.44375, 0.48125, 0.442969, 0.4825, 0.442188, 0.48375, 0.441406, 0.485, 0.440625, 0.48625, 0.439844, 0.4875, 0.439063, 0.4875, 0.438281, 0.48875, 0.4375, 0.49, 0.436719, 0.49125, 0.435937, 0.4925, 0.435156, 0.49375, 0.434375, 0.495, 0.433594, 0.495, 0.433594, 0.49625, 0.432812, 0.4975, 0.432031, 0.49875, 0.43125, 0.5, 0.430469, 0.5, 0.429688, 0.5, 0.428906, 0.5, 0.428125, 0.5, 0.427344, 0.5, 0.426563, 0.50125, 0.425781, 0.5025, 0.425781, 0.50375, 0.425781, 0.505, 0.425781, 0.50625, 0.425781, 0.5075, 0.425781, 0.50875, 0.425, 0.51, 0.424219, 0.51125, 0.423438, 0.5125, 0.422656, 0.51375, 0.421875, 0.515, 0.421094, 0.51625, 0.421094, 0.5175, 0.420312, 0.51875, 0.419531, 0.51875, 0.41875, 0.52, 0.417969, 0.52125, 0.417969, 0.5225, 0.417969, 0.52375, 0.417969, 0.525, 0.417969, 0.52625, 0.417969, 0.5275, 0.417969, 0.52875, 0.417969, 0.53, 0.417969, 0.53125, 0.417969, 0.5325, 0.417969, 0.53375, 0.417187, 0.535, 0.416406, 0.53625, 0.415625, 0.5375, 0.414844, 0.5375, 0.414062, 0.53875, 0.414062, 0.54, 0.414062, 0.54125, 0.414062, 0.5425, 0.414062, 0.54375, 0.414062, 0.545, 0.413281, 0.54625, 0.413281, 0.5475, 0.413281, 0.54875, 0.413281, 0.55, 0.413281, 0.55125, 0.413281, 0.5525, 0.413281, 0.55375, 0.4125, 0.555, 0.4125, 0.55625, 0.4125, 0.5575, 0.4125, 0.55875, 0.4125, 0.56, 0.4125, 0.56125, 0.4125, 0.5625, 0.4125, 0.56375, 0.4125, 0.565, 0.4125, 0.56625, 0.4125, 0.5675, 0.4125, 0.56875, 0.4125, 0.57, 0.4125, 0.57125, 0.4125, 0.5725, 0.4125, 0.57375, 0.4125, 0.575, 0.4125, 0.57625, 0.4125, 0.5775, 0.4125, 0.57875, 0.4125, 0.58, 0.4125, 0.58125, 0.4125, 0.5825, 0.4125, 0.58375, 0.4125, 0.585, 0.4125, 0.58625, 0.4125, 0.5875, 0.4125, 0.58875, 0.4125, 0.59, 0.4125, 0.59125, 0.4125, 0.5925, 0.4125, 0.59375, 0.4125, 0.595, 0.4125, 0.59625, 0.4125, 0.5975, 0.413281, 0.59875, 0.413281, 0.6, 0.413281, 0.60125, 0.414062, 0.6025, 0.414062, 0.60375, 0.414062, 0.605, 0.414062, 0.60625, 0.414062, 0.6075, 0.414062, 0.60875, 0.414844, 0.61, 0.415625, 0.61125, 0.416406, 0.6125, 0.417187, 0.61375, 0.417187, 0.615, 0.417969, 0.61625, 0.41875, 0.6175, 0.419531, 0.61875, 0.420312, 0.62, 0.421094, 0.62125, 0.421094, 0.6225, 0.421875, 0.62375, 0.422656, 0.625, 0.422656, 0.62625, 0.423438, 0.6275, 0.424219, 0.62875, 0.425, 0.63, 0.425781, 0.63125, 0.426563, 0.6325, 0.427344, 0.63375, 0.428125, 0.635, 0.428906, 0.63625, 0.428906, 0.6375, 0.429688, 0.63875, 0.429688, 0.64, 0.430469, 0.64125, 0.43125, 0.6425, 0.432031, 0.6425, 0.432812, 0.6425, 0.433594, 0.6425, 0.434375, 0.64375, 0.435156, 0.64375, 0.435937, 0.645, 0.436719, 0.64625, 0.4375, 0.6475, 0.438281, 0.64875, 0.439063, 0.64875, 0.439844, 0.64875, 0.440625, 0.65, 0.441406, 0.65125, 0.441406, 0.6525, 0.442188, 0.65375, 0.442969, 0.655, 0.44375, 0.655, 0.444531, 0.655, 0.445312, 0.655, 0.446094, 0.655, 0.446875, 0.655, 0.447656, 0.65625, 0.448437, 0.6575, 0.449219, 0.65875, 0.45, 0.66, 0.450781, 0.66125, 0.451562, 0.66125, 0.452344, 0.6625, 0.453125, 0.66375, 0.453906, 0.665, 0.454688, 0.66625, 0.455469, 0.66625, 0.45625, 0.66625, 0.457031, 0.66625, 0.457813, 0.66625, 0.458594, 0.66625, 0.459375, 0.66625, 0.460156, 0.66625, 0.460938, 0.66625, 0.461719, 0.66625, 0.4625, 0.66625, 0.463281, 0.66625, 0.464062, 0.66625, 0.464844, 0.66625, 0.465625, 0.66625, 0.466406, 0.66625, 0.467187, 0.66625, 0.467969, 0.66625, 0.46875, 0.66625, 0.469531, 0.66625, 0.470313, 0.665, 0.471094, 0.665, 0.471875, 0.66375, 0.472656, 0.6625, 0.473438, 0.66125, 0.474219, 0.66125, 0.475, 0.66, 0.475781, 0.65875, 0.475781, 0.6575, 0.475781, 0.65625, 0.476562, 0.655, 0.476562, 0.65375, 0.477344, 0.6525, 0.478125, 0.65125, 0.478906, 0.65, 0.478906, 0.64875, 0.479687, 0.6475, 0.479687, 0.64625, 0.479687, 0.645, 0.480469, 0.64375, 0.480469, 0.6425, 0.48125, 0.64125, 0.482031, 0.64, 0.482812, 0.63875, 0.483594, 0.6375, 0.484375, 0.63625, 0.485156, 0.63625, 0.485938, 0.635, 0.486719, 0.63375, 0.4875, 0.6325, 0.488281, 0.63125, 0.489063, 0.63, 0.489844, 0.62875, 0.490625, 0.6275, 0.491406, 0.62625, 0.492188, 0.625, 0.492969, 0.62375, 0.49375, 0.62375, 0.494531, 0.6225, 0.495312, 0.62125, 0.496094, 0.62, 0.496875, 0.61875, 0.497656, 0.6175, 0.498437, 0.6175, 0.499219, 0.6175, 0.5, 0.6175, 0.500781, 0.6175, 0.501563, 0.6175, 0.502344, 0.6175, 0.503125, 0.61625, 0.503906, 0.615, 0.504687, 0.61375, 0.505469, 0.6125, 0.50625, 0.6125, 0.507031, 0.6125, 0.507812, 0.61125, 0.508594, 0.61125, 0.509375, 0.61125, 0.510156, 0.61, 0.510938, 0.60875, 0.511719, 0.6075, 0.5125, 0.60625, 0.513281, 0.605, 0.514062, 0.605, 0.514844, 0.60375, 0.515625, 0.6025, 0.516406, 0.60125, 0.517188, 0.6, 0.517969, 0.59875, 0.51875, 0.59875, 0.519531, 0.5975, 0.520312, 0.59625, 0.521094, 0.595, 0.521875, 0.59375, 0.522656, 0.5925, 0.523438, 0.5925, 0.524219, 0.59125, 0.525, 0.59, 0.525781, 0.59, 0.526563, 0.58875, 0.527344, 0.5875, 0.528125, 0.58625, 0.528906, 0.585, 0.529687, 0.58375, 0.529687, 0.5825, 0.530469, 0.58125, 0.530469, 0.58, 0.53125, 0.57875, 0.53125, 0.5775, 0.532031, 0.57625, 0.532813, 0.575, 0.532813, 0.57375, 0.533594, 0.5725, 0.533594, 0.57125, 0.534375, 0.57, 0.534375, 0.56875, 0.534375, 0.5675, 0.534375, 0.56625, 0.534375, 0.565, 0.534375, 0.56375, 0.534375, 0.5625, 0.534375, 0.56125, 0.534375, 0.56, 0.534375, 0.55875, 0.534375, 0.5575, 0.534375, 0.55625, 0.534375, 0.555, 0.534375, 0.55375, 0.534375, 0.5525, 0.534375, 0.55125, 0.534375, 0.55, 0.534375, 0.54875, 0.534375, 0.5475, 0.534375, 0.54625, 0.534375, 0.545, 0.534375, 0.54375, 0.534375, 0.5425, 0.534375, 0.54125, 0.534375, 0.54, 0.534375, 0.53875, 0.534375, 0.5375, 0.533594, 0.53625, 0.533594, 0.535, 0.533594, 0.53375, 0.532813, 0.5325, 0.532031, 0.53125, 0.53125, 0.53, 0.530469, 0.52875, 0.530469, 0.5275, 0.530469, 0.52625, 0.529687, 0.525, 0.529687, 0.52375, 0.529687, 0.5225, 0.528906, 0.52125, 0.528125, 0.52, 0.527344, 0.51875, 0.526563, 0.5175, 0.525781, 0.51625, 0.525781, 0.515, 0.525, 0.51375, 0.524219, 0.5125, 0.523438, 0.5125, 0.522656, 0.51125, 0.521875, 0.51, 0.521875, 0.50875, 0.521094, 0.5075, 0.520312, 0.5075, 0.519531, 0.5075, 0.51875, 0.50625, 0.517969, 0.50625, 0.517188, 0.50625, 0.516406, 0.505, 0.515625, 0.50375, 0.514844, 0.5025, 0.514062, 0.50125, 0.513281, 0.5, 0.5125, 0.5, 0.511719, 0.5, 0.510938, 0.5, 0.510156, 0.5, 0.509375, 0.5, 0.508594, 0.49875, 0.507812, 0.4975, 0.507031, 0.49625, 0.507031, 0.495, 0.50625, 0.495, 0.505469, 0.49375, 0.504687, 0.49375, 0.503906, 0.49375, 0.503125, 0.49375, 0.502344, 0.49375, 0.501563, 0.49375, 0.500781, 0.4925, 0.5, 0.49125, 0.499219, 0.49, 0.499219, 0.48875, 0.498437, 0.48875, 0.497656, 0.4875, 0.496875, 0.4875, 0.496094, 0.4875, 0.495312, 0.48625, 0.494531, 0.48625, 0.49375, 0.48625, 0.492969, 0.485, 0.492188, 0.48375, 0.491406, 0.4825, 0.490625, 0.48125, 0.489844, 0.48125, 0.489063, 0.48, 0.488281, 0.48, 0.4875, 0.47875, 0.4875, 0.4775, 0.486719, 0.47625, 0.485938, 0.475, 0.485156, 0.475, 0.484375, 0.475, 0.483594, 0.475, 0.482812, 0.475, 0.482031, 0.475, 0.48125, 0.47375, 0.480469, 0.4725, 0.479687, 0.47125, 0.479687, 0.47, 0.478906, 0.46875, 0.478125, 0.46875, 0.477344, 0.46875, 0.476562, 0.46875, 0.475781, 0.46875, 0.475, 0.4675, 0.474219, 0.4675, 0.473438, 0.4675, 0.472656, 0.4675, 0.471875, 0.4675, 0.471094, 0.4675, 0.470313, 0.4675, 0.469531, 0.4675, 0.46875, 0.4675, 0.467969, 0.4675, 0.467187, 0.4675, 0.466406, 0.4675, 0.465625, 0.4675, 0.464844, 0.4675 ], [ 2, 0.592187, 0.205, 0.591406, 0.20625, 0.590625, 0.20625, 0.589844, 0.20625, 0.589063, 0.20625, 0.588281, 0.20625, 0.5875, 0.20625, 0.586719, 0.2075, 0.585938, 0.20875, 0.585156, 0.21, 0.584375, 0.21125, 0.583594, 0.2125, 0.582812, 0.21375, 0.582031, 0.215, 0.58125, 0.21625, 0.580469, 0.2175, 0.579688, 0.21875, 0.578906, 0.22, 0.578125, 0.22, 0.578125, 0.22125, 0.577344, 0.2225, 0.576562, 0.22375, 0.575781, 0.225, 0.575, 0.225, 0.574219, 0.22625, 0.573438, 0.2275, 0.573438, 0.22875, 0.572656, 0.23, 0.571875, 0.23, 0.571094, 0.23125, 0.570312, 0.23125, 0.569531, 0.23125, 0.56875, 0.23125, 0.567969, 0.23125, 0.567187, 0.2325, 0.566406, 0.23375, 0.565625, 0.235, 0.564844, 0.23625, 0.564063, 0.2375, 0.563281, 0.23875, 0.5625, 0.24, 0.561719, 0.24125, 0.560937, 0.2425, 0.560156, 0.24375, 0.559375, 0.245, 0.558594, 0.24625, 0.557813, 0.2475, 0.557031, 0.24875, 0.55625, 0.25, 0.555469, 0.25, 0.554688, 0.25, 0.553906, 0.25125, 0.553125, 0.25125, 0.552344, 0.25125, 0.551562, 0.2525, 0.550781, 0.25375, 0.55, 0.255, 0.549219, 0.255, 0.548438, 0.25625, 0.547656, 0.25625, 0.546875, 0.25625, 0.546094, 0.25625, 0.545312, 0.25625, 0.544531, 0.25625, 0.54375, 0.25625, 0.542969, 0.25625, 0.542188, 0.25625, 0.541406, 0.25625, 0.540625, 0.25625, 0.539844, 0.2575, 0.539062, 0.25875, 0.539062, 0.26, 0.538281, 0.26125, 0.5375, 0.26125, 0.536719, 0.2625, 0.535937, 0.2625, 0.535156, 0.26375, 0.534375, 0.265, 0.534375, 0.26625, 0.533594, 0.2675, 0.532813, 0.2675, 0.532031, 0.26875, 0.53125, 0.27, 0.53125, 0.27125, 0.530469, 0.2725, 0.529687, 0.27375, 0.528906, 0.275, 0.528125, 0.275, 0.527344, 0.27375, 0.527344, 0.275, 0.527344, 0.27625, 0.527344, 0.2775, 0.527344, 0.27875, 0.527344, 0.28, 0.527344, 0.28125, 0.527344, 0.2825, 0.527344, 0.28375, 0.527344, 0.285, 0.527344, 0.28625, 0.527344, 0.2875, 0.527344, 0.28875, 0.527344, 0.29, 0.527344, 0.29125, 0.527344, 0.2925, 0.527344, 0.29375, 0.527344, 0.295, 0.527344, 0.29625, 0.527344, 0.2975, 0.527344, 0.29875, 0.527344, 0.3, 0.527344, 0.30125, 0.527344, 0.3025, 0.528125, 0.30375, 0.528906, 0.30375, 0.529687, 0.305, 0.530469, 0.305, 0.53125, 0.305, 0.532031, 0.30625, 0.532813, 0.30625, 0.533594, 0.3075, 0.534375, 0.30875, 0.535156, 0.31, 0.535937, 0.31125, 0.536719, 0.31125, 0.5375, 0.31125, 0.538281, 0.3125, 0.539062, 0.31375, 0.539844, 0.315, 0.539844, 0.31625, 0.540625, 0.31625, 0.541406, 0.31625, 0.542188, 0.3175, 0.542969, 0.3175, 0.54375, 0.3175, 0.544531, 0.3175, 0.545312, 0.3175, 0.546094, 0.3175, 0.546875, 0.3175, 0.547656, 0.3175, 0.548438, 0.3175, 0.549219, 0.31875, 0.55, 0.32, 0.550781, 0.32125, 0.550781, 0.3225, 0.551562, 0.3225, 0.552344, 0.32375, 0.553125, 0.32375, 0.553906, 0.325, 0.554688, 0.32625, 0.555469, 0.3275, 0.55625, 0.32875, 0.557031, 0.33, 0.557813, 0.33125, 0.558594, 0.3325, 0.558594, 0.33375, 0.559375, 0.335, 0.560156, 0.33625, 0.560937, 0.33625, 0.561719, 0.3375, 0.5625, 0.33875, 0.5625, 0.34, 0.563281, 0.34125, 0.564063, 0.3425, 0.564844, 0.34375, 0.565625, 0.345, 0.566406, 0.34625, 0.566406, 0.3475, 0.566406, 0.34875, 0.567187, 0.35, 0.567187, 0.35125, 0.567187, 0.3525, 0.567969, 0.35375, 0.56875, 0.35375, 0.569531, 0.355, 0.570312, 0.35625, 0.570312, 0.3575, 0.571094, 0.3575, 0.571875, 0.3575, 0.572656, 0.3575, 0.573438, 0.3575, 0.574219, 0.3575, 0.575, 0.35625, 0.575781, 0.35625, 0.576562, 0.355, 0.577344, 0.35375, 0.577344, 0.3525, 0.578125, 0.35125, 0.578906, 0.35, 0.579688, 0.34875, 0.580469, 0.34875, 0.58125, 0.34875, 0.582031, 0.34875, 0.582812, 0.34875, 0.583594, 0.3475, 0.584375, 0.3475, 0.585156, 0.34625, 0.585938, 0.345, 0.586719, 0.34375, 0.5875, 0.3425, 0.588281, 0.3425, 0.589063, 0.3425, 0.589844, 0.3425, 0.590625, 0.3425, 0.591406, 0.3425, 0.592187, 0.34125, 0.592969, 0.34, 0.59375, 0.33875, 0.594531, 0.3375, 0.595313, 0.33625, 0.596094, 0.33625, 0.596875, 0.33625, 0.597656, 0.33625, 0.598437, 0.335, 0.599219, 0.335, 0.6, 0.335, 0.600781, 0.335, 0.601562, 0.335, 0.602344, 0.33375, 0.603125, 0.33375, 0.603906, 0.33375, 0.604688, 0.3325, 0.605469, 0.3325, 0.60625, 0.3325, 0.607031, 0.3325, 0.607812, 0.3325, 0.608594, 0.3325, 0.609375, 0.3325, 0.610156, 0.33375, 0.610938, 0.33375, 0.611719, 0.33375, 0.6125, 0.33375, 0.613281, 0.335, 0.614062, 0.335, 0.614844, 0.335, 0.615625, 0.335, 0.616406, 0.335, 0.617188, 0.33375, 0.617969, 0.33375, 0.61875, 0.33375, 0.619531, 0.3325, 0.619531, 0.33125, 0.620313, 0.33, 0.621094, 0.32875, 0.621094, 0.3275, 0.621875, 0.32625, 0.621875, 0.325, 0.621875, 0.32375, 0.621875, 0.3225, 0.621875, 0.32125, 0.622656, 0.32, 0.623437, 0.32, 0.624219, 0.31875, 0.624219, 0.3175, 0.625, 0.31625, 0.625, 0.315, 0.625, 0.31375, 0.625, 0.3125, 0.625781, 0.31125, 0.625781, 0.31, 0.625781, 0.30875, 0.625781, 0.3075, 0.626563, 0.30625, 0.626563, 0.305, 0.627344, 0.30375, 0.627344, 0.3025, 0.627344, 0.30125, 0.627344, 0.3, 0.628125, 0.29875, 0.628125, 0.2975, 0.628125, 0.29625, 0.628125, 0.295, 0.628125, 0.29375, 0.628125, 0.2925, 0.628125, 0.29125, 0.628125, 0.29, 0.628125, 0.28875, 0.628906, 0.2875, 0.628906, 0.28625, 0.628906, 0.285, 0.628906, 0.28375, 0.628906, 0.2825, 0.629687, 0.28125, 0.630469, 0.28, 0.630469, 0.27875, 0.630469, 0.2775, 0.630469, 0.27625, 0.630469, 0.275, 0.630469, 0.27375, 0.630469, 0.2725, 0.630469, 0.27125, 0.630469, 0.27, 0.630469, 0.26875, 0.630469, 0.2675, 0.630469, 0.26625, 0.630469, 0.265, 0.630469, 0.26375, 0.630469, 0.2625, 0.629687, 0.26125, 0.628906, 0.26, 0.628906, 0.25875, 0.628125, 0.2575, 0.628125, 0.25625, 0.628125, 0.255, 0.628125, 0.25375, 0.628125, 0.2525, 0.628125, 0.25125, 0.628125, 0.25, 0.628125, 0.24875, 0.628125, 0.2475, 0.628125, 0.24625, 0.628125, 0.245, 0.627344, 0.24375, 0.626563, 0.2425, 0.625781, 0.24125, 0.625, 0.24, 0.625, 0.23875, 0.625, 0.2375, 0.624219, 0.23625, 0.624219, 0.235, 0.624219, 0.23375, 0.623437, 0.2325, 0.622656, 0.23125, 0.621875, 0.23, 0.621094, 0.22875, 0.620313, 0.2275, 0.619531, 0.22625, 0.61875, 0.225, 0.617969, 0.22375, 0.617188, 0.2225, 0.616406, 0.22125, 0.615625, 0.22, 0.614844, 0.21875, 0.614062, 0.2175, 0.613281, 0.21625, 0.6125, 0.215, 0.611719, 0.21375, 0.610938, 0.2125, 0.610156, 0.2125, 0.609375, 0.2125, 0.608594, 0.2125, 0.607812, 0.2125, 0.607031, 0.21125, 0.60625, 0.21125, 0.605469, 0.21, 0.605469, 0.20875, 0.604688, 0.2075, 0.603906, 0.20625, 0.603125, 0.20625, 0.602344, 0.20625, 0.601562, 0.205, 0.600781, 0.205, 0.6, 0.205, 0.599219, 0.205, 0.598437, 0.205, 0.597656, 0.205, 0.596875, 0.205, 0.596094, 0.205, 0.595313, 0.205, 0.594531, 0.205, 0.59375, 0.205, 0.592969, 0.205 ], [ 3, 0.464844, 0.67125, 0.464062, 0.6725, 0.463281, 0.67375, 0.4625, 0.675, 0.461719, 0.675, 0.460938, 0.675, 0.460156, 0.675, 0.459375, 0.675, 0.458594, 0.675, 0.457813, 0.675, 0.457031, 0.67625, 0.45625, 0.6775, 0.455469, 0.67875, 0.454688, 0.68, 0.453906, 0.68125, 0.453125, 0.6825, 0.453125, 0.68375, 0.452344, 0.685, 0.451562, 0.68625, 0.450781, 0.6875, 0.45, 0.68875, 0.449219, 0.69, 0.449219, 0.69125, 0.449219, 0.6925, 0.449219, 0.69375, 0.449219, 0.695, 0.449219, 0.69625, 0.448437, 0.6975, 0.447656, 0.69875, 0.446875, 0.7, 0.446094, 0.7, 0.446094, 0.70125, 0.445312, 0.7025, 0.445312, 0.70375, 0.445312, 0.705, 0.445312, 0.70625, 0.445312, 0.7075, 0.445312, 0.70875, 0.445312, 0.71, 0.445312, 0.71125, 0.445312, 0.7125, 0.445312, 0.71375, 0.444531, 0.715, 0.444531, 0.71625, 0.44375, 0.7175, 0.442969, 0.7175, 0.442188, 0.71875, 0.441406, 0.72, 0.441406, 0.72125, 0.441406, 0.7225, 0.441406, 0.72375, 0.441406, 0.725, 0.441406, 0.72625, 0.441406, 0.7275, 0.440625, 0.72875, 0.439844, 0.73, 0.439063, 0.73125, 0.438281, 0.7325, 0.4375, 0.73375, 0.4375, 0.735, 0.4375, 0.73625, 0.4375, 0.7375, 0.4375, 0.73875, 0.4375, 0.74, 0.436719, 0.74125, 0.435937, 0.7425, 0.435156, 0.74375, 0.434375, 0.745, 0.433594, 0.74625, 0.433594, 0.7475, 0.433594, 0.74875, 0.432812, 0.75, 0.432812, 0.75125, 0.432031, 0.7525, 0.432031, 0.75375, 0.43125, 0.755, 0.430469, 0.755, 0.429688, 0.75625, 0.428906, 0.75625, 0.428125, 0.7575, 0.427344, 0.7575, 0.426563, 0.7575, 0.425781, 0.75625, 0.425, 0.75625, 0.424219, 0.75625, 0.423438, 0.75625, 0.422656, 0.755, 0.421875, 0.755, 0.421875, 0.75625, 0.421875, 0.7575, 0.421875, 0.75875, 0.421875, 0.76, 0.421875, 0.76125, 0.421875, 0.7625, 0.421875, 0.76375, 0.421875, 0.765, 0.421875, 0.76625, 0.421875, 0.7675, 0.421875, 0.76875, 0.421875, 0.77, 0.421875, 0.77125, 0.421875, 0.7725, 0.421875, 0.77375, 0.421875, 0.775, 0.421875, 0.77625, 0.421875, 0.7775, 0.421875, 0.77875, 0.422656, 0.78, 0.422656, 0.78125, 0.423438, 0.7825, 0.424219, 0.78375, 0.425, 0.785, 0.425781, 0.785, 0.426563, 0.78625, 0.427344, 0.78625, 0.428125, 0.78625, 0.428906, 0.78625, 0.429688, 0.78625, 0.430469, 0.78625, 0.43125, 0.7875, 0.432031, 0.7875, 0.432812, 0.78875, 0.432812, 0.79, 0.433594, 0.79125, 0.434375, 0.7925, 0.435156, 0.7925, 0.435937, 0.79375, 0.436719, 0.795, 0.4375, 0.79625, 0.438281, 0.7975, 0.439063, 0.79875, 0.439844, 0.79875, 0.440625, 0.79875, 0.441406, 0.8, 0.442188, 0.8, 0.442969, 0.8, 0.44375, 0.80125, 0.444531, 0.8025, 0.445312, 0.80375, 0.446094, 0.805, 0.446875, 0.805, 0.447656, 0.805, 0.448437, 0.805, 0.449219, 0.805, 0.45, 0.805, 0.450781, 0.805, 0.451562, 0.805, 0.452344, 0.805, 0.453125, 0.80625, 0.453906, 0.80625, 0.454688, 0.80625, 0.455469, 0.8075, 0.45625, 0.80875, 0.457031, 0.81, 0.457813, 0.81125, 0.458594, 0.81125, 0.459375, 0.81125, 0.460156, 0.81125, 0.460938, 0.81125, 0.461719, 0.81125, 0.4625, 0.81125, 0.463281, 0.81125, 0.464062, 0.81125, 0.464844, 0.81125, 0.465625, 0.81125, 0.466406, 0.81125, 0.467187, 0.81125, 0.467969, 0.81125, 0.46875, 0.81125, 0.469531, 0.81125, 0.470313, 0.81125, 0.471094, 0.81125, 0.471875, 0.81125, 0.472656, 0.81125, 0.473438, 0.81125, 0.474219, 0.81125, 0.475, 0.81125, 0.475781, 0.81125, 0.476562, 0.81125, 0.477344, 0.81125, 0.478125, 0.81125, 0.478906, 0.81125, 0.479687, 0.81125, 0.480469, 0.81125, 0.48125, 0.81125, 0.482031, 0.81125, 0.482812, 0.81125, 0.483594, 0.81125, 0.484375, 0.81125, 0.485156, 0.81125, 0.485938, 0.81125, 0.486719, 0.81125, 0.4875, 0.81125, 0.488281, 0.81125, 0.489063, 0.81125, 0.489844, 0.81125, 0.490625, 0.81125, 0.491406, 0.81125, 0.492188, 0.81125, 0.492969, 0.81125, 0.49375, 0.81125, 0.494531, 0.81125, 0.495312, 0.81125, 0.496094, 0.81125, 0.496875, 0.81125, 0.497656, 0.81125, 0.498437, 0.81125, 0.499219, 0.81125, 0.5, 0.81125, 0.500781, 0.81125, 0.501563, 0.81125, 0.502344, 0.81, 0.503125, 0.80875, 0.503906, 0.8075, 0.504687, 0.80625, 0.505469, 0.805, 0.50625, 0.805, 0.507031, 0.805, 0.507812, 0.805, 0.508594, 0.805, 0.509375, 0.805, 0.510156, 0.805, 0.510938, 0.805, 0.511719, 0.80375, 0.5125, 0.80375, 0.513281, 0.80375, 0.514062, 0.8025, 0.514062, 0.80125, 0.514844, 0.8, 0.514844, 0.79875, 0.515625, 0.7975, 0.516406, 0.79625, 0.517188, 0.795, 0.517969, 0.79375, 0.517969, 0.7925, 0.51875, 0.79125, 0.51875, 0.79, 0.51875, 0.78875, 0.51875, 0.7875, 0.519531, 0.78625, 0.519531, 0.785, 0.519531, 0.78375, 0.520312, 0.7825, 0.521094, 0.78125, 0.521094, 0.78, 0.521094, 0.77875, 0.521094, 0.7775, 0.521094, 0.77625, 0.521094, 0.775, 0.521094, 0.77375, 0.520312, 0.7725, 0.520312, 0.77125, 0.519531, 0.77, 0.51875, 0.77, 0.517969, 0.76875, 0.517188, 0.76875, 0.516406, 0.7675, 0.515625, 0.76625, 0.514844, 0.765, 0.514062, 0.76375, 0.513281, 0.7625, 0.5125, 0.7625, 0.511719, 0.7625, 0.510938, 0.7625, 0.510156, 0.7625, 0.509375, 0.7625, 0.508594, 0.76125, 0.507812, 0.76, 0.507031, 0.75875, 0.50625, 0.7575, 0.505469, 0.75625, 0.504687, 0.755, 0.503906, 0.75375, 0.503125, 0.7525, 0.502344, 0.75125, 0.501563, 0.75, 0.500781, 0.74875, 0.5, 0.7475, 0.499219, 0.74625, 0.498437, 0.745, 0.497656, 0.74375, 0.496875, 0.74375, 0.496094, 0.7425, 0.495312, 0.74125, 0.494531, 0.74, 0.49375, 0.73875, 0.492969, 0.7375, 0.492188, 0.7375, 0.491406, 0.73625, 0.490625, 0.735, 0.489844, 0.73375, 0.489063, 0.7325, 0.489063, 0.73125, 0.488281, 0.73, 0.488281, 0.72875, 0.4875, 0.7275, 0.4875, 0.72625, 0.4875, 0.725, 0.486719, 0.72375, 0.486719, 0.7225, 0.485938, 0.72125, 0.485156, 0.72, 0.485156, 0.71875, 0.484375, 0.7175, 0.484375, 0.71625, 0.483594, 0.715, 0.483594, 0.71375, 0.482812, 0.7125, 0.482812, 0.71125, 0.482031, 0.71, 0.48125, 0.70875, 0.48125, 0.7075, 0.48125, 0.70625, 0.48125, 0.705, 0.480469, 0.70375, 0.480469, 0.7025, 0.480469, 0.70125, 0.480469, 0.7, 0.480469, 0.69875, 0.480469, 0.6975, 0.480469, 0.69625, 0.480469, 0.695, 0.480469, 0.69375, 0.480469, 0.6925, 0.480469, 0.69125, 0.480469, 0.69, 0.479687, 0.68875, 0.479687, 0.6875, 0.479687, 0.68625, 0.479687, 0.685, 0.479687, 0.68375, 0.479687, 0.6825, 0.479687, 0.68125, 0.479687, 0.68, 0.479687, 0.67875, 0.479687, 0.6775, 0.479687, 0.67625, 0.479687, 0.675, 0.479687, 0.67375, 0.479687, 0.6725, 0.479687, 0.67125, 0.478906, 0.67125, 0.478125, 0.67125, 0.477344, 0.67125, 0.476562, 0.67125, 0.475781, 0.67125, 0.475, 0.67125, 0.474219, 0.67125, 0.473438, 0.67125, 0.472656, 0.67125, 0.471875, 0.67125, 0.471094, 0.67125, 0.470313, 0.67125, 0.469531, 0.67125, 0.46875, 0.67125, 0.467969, 0.67125, 0.467187, 0.67125, 0.466406, 0.67125, 0.465625, 0.67125 ], [ 5, 0.214062, 0.61, 0.213281, 0.61125, 0.2125, 0.6125, 0.211719, 0.6125, 0.210938, 0.61375, 0.210156, 0.61375, 0.209375, 0.615, 0.208594, 0.61625, 0.207813, 0.6175, 0.207031, 0.61875, 0.207031, 0.62, 0.20625, 0.62125, 0.205469, 0.6225, 0.204687, 0.62375, 0.203906, 0.625, 0.203125, 0.62625, 0.203125, 0.6275, 0.202344, 0.62875, 0.201563, 0.63, 0.200781, 0.63125, 0.2, 0.6325, 0.199219, 0.63375, 0.199219, 0.635, 0.199219, 0.63625, 0.199219, 0.6375, 0.199219, 0.63875, 0.199219, 0.64, 0.199219, 0.64125, 0.199219, 0.6425, 0.199219, 0.64375, 0.199219, 0.645, 0.198437, 0.64625, 0.198437, 0.6475, 0.197656, 0.64875, 0.196875, 0.65, 0.196875, 0.65125, 0.196875, 0.6525, 0.196875, 0.65375, 0.196875, 0.655, 0.196875, 0.65625, 0.196875, 0.6575, 0.196875, 0.65875, 0.196875, 0.66, 0.196875, 0.66125, 0.196875, 0.6625, 0.196875, 0.66375, 0.196875, 0.665, 0.196875, 0.66625, 0.196875, 0.6675, 0.196875, 0.66875, 0.196875, 0.67, 0.196875, 0.67125, 0.196875, 0.6725, 0.196875, 0.67375, 0.196875, 0.675, 0.196875, 0.67625, 0.196875, 0.6775, 0.196875, 0.67875, 0.196875, 0.68, 0.196875, 0.68125, 0.196875, 0.6825, 0.196875, 0.68375, 0.196875, 0.685, 0.196875, 0.68625, 0.196875, 0.6875, 0.196875, 0.68875, 0.196875, 0.69, 0.196875, 0.69125, 0.196875, 0.6925, 0.197656, 0.69375, 0.198437, 0.695, 0.198437, 0.69625, 0.199219, 0.6975, 0.199219, 0.69875, 0.199219, 0.7, 0.199219, 0.70125, 0.199219, 0.7025, 0.2, 0.70375, 0.200781, 0.705, 0.201563, 0.70625, 0.202344, 0.7075, 0.203125, 0.70875, 0.203125, 0.71, 0.203906, 0.71125, 0.204687, 0.7125, 0.205469, 0.71375, 0.20625, 0.715, 0.20625, 0.71625, 0.20625, 0.7175, 0.207031, 0.71875, 0.207031, 0.72, 0.207031, 0.72125, 0.207031, 0.7225, 0.207031, 0.72375, 0.207813, 0.725, 0.207813, 0.72625, 0.207813, 0.7275, 0.208594, 0.72875, 0.208594, 0.73, 0.209375, 0.73125, 0.209375, 0.7325, 0.210156, 0.73375, 0.210156, 0.735, 0.210156, 0.73625, 0.210938, 0.7375, 0.210938, 0.73875, 0.210938, 0.74, 0.210938, 0.74125, 0.210938, 0.7425, 0.210938, 0.74375, 0.210938, 0.745, 0.210938, 0.74625, 0.211719, 0.7475, 0.2125, 0.74875, 0.213281, 0.75, 0.214062, 0.75125, 0.214844, 0.7525, 0.214844, 0.75375, 0.214844, 0.755, 0.214844, 0.75625, 0.214844, 0.7575, 0.214844, 0.75875, 0.215625, 0.76, 0.216406, 0.76125, 0.217188, 0.7625, 0.217969, 0.76375, 0.21875, 0.765, 0.21875, 0.76625, 0.219531, 0.7675, 0.220312, 0.7675, 0.221094, 0.76875, 0.221875, 0.77, 0.222656, 0.77125, 0.222656, 0.7725, 0.223438, 0.7725, 0.224219, 0.77375, 0.225, 0.775, 0.225781, 0.77625, 0.226562, 0.7775, 0.227344, 0.77875, 0.228125, 0.78, 0.228906, 0.78125, 0.229687, 0.7825, 0.230469, 0.78375, 0.23125, 0.785, 0.232031, 0.78625, 0.232813, 0.78625, 0.233594, 0.78625, 0.234375, 0.78625, 0.235156, 0.78625, 0.235937, 0.78625, 0.236719, 0.78625, 0.2375, 0.78625, 0.238281, 0.78625, 0.239063, 0.78625, 0.239844, 0.78625, 0.240625, 0.78625, 0.241406, 0.78625, 0.242188, 0.78625, 0.242969, 0.78625, 0.24375, 0.78625, 0.244531, 0.78625, 0.245312, 0.78625, 0.246094, 0.78625, 0.246875, 0.78625, 0.247656, 0.78625, 0.248438, 0.78625, 0.249219, 0.78625, 0.25, 0.78625, 0.250781, 0.78625, 0.251563, 0.78625, 0.252344, 0.78625, 0.253125, 0.78625, 0.253906, 0.78625, 0.254688, 0.78625, 0.255469, 0.78625, 0.25625, 0.78625, 0.257031, 0.785, 0.257812, 0.785, 0.258594, 0.785, 0.259375, 0.78375, 0.260156, 0.7825, 0.260937, 0.78125, 0.261719, 0.78125, 0.2625, 0.78, 0.263281, 0.78, 0.264062, 0.77875, 0.264844, 0.7775, 0.265625, 0.77625, 0.266406, 0.775, 0.267188, 0.77375, 0.267969, 0.7725, 0.26875, 0.77125, 0.269531, 0.77, 0.270313, 0.76875, 0.271094, 0.7675, 0.271875, 0.76625, 0.272656, 0.765, 0.273438, 0.76375, 0.274219, 0.7625, 0.275, 0.76125, 0.275781, 0.76, 0.276562, 0.75875, 0.277344, 0.7575, 0.278125, 0.75625, 0.278906, 0.755, 0.279687, 0.75375, 0.280469, 0.75375, 0.280469, 0.7525, 0.28125, 0.75125, 0.28125, 0.75, 0.28125, 0.74875, 0.282031, 0.7475, 0.282031, 0.74625, 0.282031, 0.745, 0.282031, 0.74375, 0.282031, 0.7425, 0.282031, 0.74125, 0.282031, 0.74, 0.282031, 0.73875, 0.282031, 0.7375, 0.282031, 0.73625, 0.282031, 0.735, 0.282031, 0.73375, 0.282813, 0.7325, 0.283594, 0.73125, 0.283594, 0.73, 0.283594, 0.72875, 0.284375, 0.7275, 0.284375, 0.72625, 0.284375, 0.725, 0.285156, 0.72375, 0.285156, 0.7225, 0.285938, 0.72125, 0.286719, 0.72, 0.286719, 0.71875, 0.286719, 0.7175, 0.286719, 0.71625, 0.286719, 0.715, 0.286719, 0.71375, 0.286719, 0.7125, 0.286719, 0.71125, 0.286719, 0.71, 0.286719, 0.70875, 0.286719, 0.7075, 0.286719, 0.70625, 0.286719, 0.705, 0.286719, 0.70375, 0.286719, 0.7025, 0.286719, 0.70125, 0.286719, 0.7, 0.286719, 0.69875, 0.286719, 0.6975, 0.286719, 0.69625, 0.286719, 0.695, 0.286719, 0.69375, 0.286719, 0.6925, 0.286719, 0.69125, 0.286719, 0.69, 0.286719, 0.68875, 0.286719, 0.6875, 0.286719, 0.68625, 0.285938, 0.685, 0.285938, 0.68375, 0.285938, 0.6825, 0.285938, 0.68125, 0.285938, 0.68, 0.285938, 0.67875, 0.285938, 0.6775, 0.285938, 0.67625, 0.285938, 0.675, 0.285938, 0.67375, 0.285938, 0.6725, 0.285938, 0.67125, 0.285156, 0.67, 0.284375, 0.66875, 0.284375, 0.6675, 0.283594, 0.66625, 0.283594, 0.665, 0.283594, 0.66375, 0.283594, 0.6625, 0.283594, 0.66125, 0.283594, 0.66, 0.283594, 0.65875, 0.283594, 0.6575, 0.283594, 0.65625, 0.283594, 0.655, 0.283594, 0.65375, 0.283594, 0.6525, 0.283594, 0.65125, 0.282813, 0.65, 0.282813, 0.64875, 0.282031, 0.6475, 0.28125, 0.64625, 0.28125, 0.645, 0.28125, 0.64375, 0.280469, 0.6425, 0.280469, 0.64125, 0.280469, 0.64, 0.280469, 0.63875, 0.279687, 0.6375, 0.278906, 0.63625, 0.278125, 0.63625, 0.277344, 0.635, 0.277344, 0.63375, 0.276562, 0.6325, 0.276562, 0.63125, 0.275781, 0.63, 0.275, 0.62875, 0.274219, 0.6275, 0.273438, 0.62625, 0.272656, 0.62625, 0.271875, 0.625, 0.271094, 0.625, 0.270313, 0.625, 0.269531, 0.625, 0.26875, 0.62375, 0.267969, 0.62375, 0.267188, 0.62375, 0.266406, 0.6225, 0.265625, 0.62125, 0.264844, 0.62, 0.264062, 0.62, 0.263281, 0.61875, 0.2625, 0.61875, 0.261719, 0.61875, 0.260937, 0.61875, 0.260156, 0.61875, 0.259375, 0.61875, 0.258594, 0.61875, 0.257812, 0.61875, 0.257031, 0.6175, 0.25625, 0.6175, 0.255469, 0.6175, 0.254688, 0.61625, 0.253906, 0.615, 0.253125, 0.61375, 0.252344, 0.61375, 0.251563, 0.6125, 0.250781, 0.6125, 0.25, 0.6125, 0.249219, 0.6125, 0.248438, 0.61125, 0.247656, 0.61125, 0.246875, 0.61125, 0.246094, 0.61125, 0.245312, 0.61125, 0.244531, 0.61125, 0.24375, 0.61, 0.242969, 0.61, 0.242188, 0.61, 0.241406, 0.61, 0.240625, 0.61, 0.239844, 0.61, 0.239063, 0.61, 0.238281, 0.61, 0.2375, 0.61, 0.236719, 0.61, 0.235937, 0.61, 0.235156, 0.61, 0.234375, 0.61, 0.233594, 0.61, 0.232813, 0.61125, 0.232031, 0.61125, 0.23125, 0.61125, 0.230469, 0.61125, 0.229687, 0.61, 0.228906, 0.61, 0.228125, 0.61, 0.227344, 0.61, 0.226562, 0.61, 0.225781, 0.61, 0.225, 0.61, 0.224219, 0.61, 0.223438, 0.61, 0.222656, 0.61, 0.221875, 0.61, 0.221094, 0.61, 0.220312, 0.61, 0.219531, 0.61, 0.21875, 0.61, 0.217969, 0.61, 0.217188, 0.61, 0.216406, 0.61, 0.215625, 0.61, 0.214844, 0.61 ], [ 1, 0.511719, 0.31, 0.510938, 0.31125, 0.510156, 0.3125, 0.509375, 0.3125, 0.508594, 0.3125, 0.507812, 0.3125, 0.507031, 0.3125, 0.50625, 0.3125, 0.505469, 0.3125, 0.504687, 0.31375, 0.503906, 0.315, 0.503125, 0.31625, 0.502344, 0.3175, 0.501563, 0.31875, 0.500781, 0.31875, 0.5, 0.31875, 0.499219, 0.31875, 0.498437, 0.31875, 0.497656, 0.31875, 0.496875, 0.32, 0.496094, 0.32125, 0.495312, 0.3225, 0.494531, 0.32375, 0.49375, 0.325, 0.492969, 0.32625, 0.492188, 0.3275, 0.491406, 0.32875, 0.490625, 0.33, 0.489844, 0.33125, 0.489063, 0.33125, 0.488281, 0.3325, 0.4875, 0.3325, 0.486719, 0.3325, 0.485938, 0.33375, 0.485156, 0.335, 0.484375, 0.33625, 0.483594, 0.3375, 0.482812, 0.33875, 0.482031, 0.33875, 0.48125, 0.34, 0.48125, 0.34125, 0.480469, 0.3425, 0.479687, 0.34375, 0.478906, 0.345, 0.478125, 0.34625, 0.477344, 0.3475, 0.477344, 0.34875, 0.476562, 0.35, 0.476562, 0.35125, 0.476562, 0.3525, 0.475781, 0.35375, 0.475, 0.355, 0.474219, 0.35625, 0.473438, 0.35625, 0.473438, 0.3575, 0.472656, 0.35875, 0.472656, 0.36, 0.472656, 0.36125, 0.471875, 0.3625, 0.471875, 0.36375, 0.471094, 0.365, 0.470313, 0.36625, 0.469531, 0.3675, 0.469531, 0.36875, 0.46875, 0.37, 0.46875, 0.37125, 0.46875, 0.3725, 0.467969, 0.37375, 0.467187, 0.375, 0.466406, 0.37625, 0.466406, 0.3775, 0.466406, 0.37875, 0.466406, 0.38, 0.466406, 0.38125, 0.466406, 0.3825, 0.466406, 0.38375, 0.466406, 0.385, 0.466406, 0.38625, 0.466406, 0.3875, 0.466406, 0.38875, 0.466406, 0.39, 0.466406, 0.39125, 0.466406, 0.3925, 0.466406, 0.39375, 0.466406, 0.395, 0.466406, 0.39625, 0.466406, 0.3975, 0.466406, 0.39875, 0.466406, 0.4, 0.466406, 0.40125, 0.466406, 0.4025, 0.466406, 0.40375, 0.466406, 0.405, 0.466406, 0.40625, 0.466406, 0.4075, 0.466406, 0.40875, 0.466406, 0.41, 0.466406, 0.41125, 0.466406, 0.4125, 0.466406, 0.41375, 0.467187, 0.415, 0.467187, 0.41625, 0.467187, 0.4175, 0.467187, 0.41875, 0.467187, 0.42, 0.467187, 0.42125, 0.467187, 0.4225, 0.467187, 0.42375, 0.467187, 0.425, 0.467187, 0.42625, 0.467187, 0.4275, 0.467187, 0.42875, 0.467969, 0.43, 0.467969, 0.43125, 0.467969, 0.4325, 0.467969, 0.43375, 0.46875, 0.435, 0.46875, 0.43625, 0.46875, 0.4375, 0.46875, 0.43875, 0.46875, 0.44, 0.469531, 0.44125, 0.469531, 0.4425, 0.470313, 0.4425, 0.471094, 0.44375, 0.471875, 0.445, 0.472656, 0.44625, 0.472656, 0.4475, 0.472656, 0.44875, 0.472656, 0.45, 0.472656, 0.45125, 0.472656, 0.4525, 0.473438, 0.45375, 0.474219, 0.455, 0.475, 0.45625, 0.475781, 0.4575, 0.476562, 0.45875, 0.477344, 0.46, 0.478125, 0.46125, 0.478906, 0.4625, 0.479687, 0.46375, 0.480469, 0.465, 0.480469, 0.46625, 0.48125, 0.4675, 0.482031, 0.46875, 0.482812, 0.46875, 0.483594, 0.47, 0.483594, 0.47125, 0.484375, 0.4725, 0.485156, 0.4725, 0.485938, 0.47375, 0.486719, 0.47375, 0.4875, 0.475, 0.488281, 0.47625, 0.488281, 0.4775, 0.489063, 0.47875, 0.489844, 0.48, 0.490625, 0.48, 0.491406, 0.48, 0.492188, 0.48125, 0.492969, 0.48125, 0.49375, 0.4825, 0.494531, 0.48375, 0.495312, 0.485, 0.496094, 0.485, 0.496875, 0.48625, 0.497656, 0.48625, 0.498437, 0.48625, 0.499219, 0.4875, 0.5, 0.48875, 0.500781, 0.49, 0.501563, 0.49125, 0.502344, 0.49125, 0.503125, 0.4925, 0.503906, 0.4925, 0.504687, 0.4925, 0.505469, 0.4925, 0.50625, 0.4925, 0.507031, 0.4925, 0.507812, 0.49375, 0.508594, 0.49375, 0.509375, 0.49375, 0.510156, 0.49375, 0.510938, 0.495, 0.511719, 0.495, 0.5125, 0.49625, 0.513281, 0.49625, 0.514062, 0.49625, 0.514844, 0.49625, 0.515625, 0.49625, 0.516406, 0.49625, 0.517188, 0.49625, 0.517969, 0.49625, 0.51875, 0.49625, 0.519531, 0.49625, 0.520312, 0.49625, 0.521094, 0.49625, 0.521875, 0.495, 0.522656, 0.495, 0.523438, 0.49375, 0.524219, 0.49375, 0.525, 0.4925, 0.525781, 0.4925, 0.526563, 0.4925, 0.527344, 0.4925, 0.528125, 0.4925, 0.528906, 0.4925, 0.529687, 0.49125, 0.530469, 0.49, 0.53125, 0.48875, 0.532031, 0.4875, 0.532813, 0.48625, 0.533594, 0.48625, 0.534375, 0.48625, 0.535156, 0.48625, 0.535937, 0.48625, 0.536719, 0.48625, 0.5375, 0.485, 0.538281, 0.48375, 0.538281, 0.4825, 0.539062, 0.48125, 0.539844, 0.48125, 0.540625, 0.48, 0.541406, 0.47875, 0.542188, 0.4775, 0.542969, 0.47625, 0.54375, 0.475, 0.544531, 0.47375, 0.545312, 0.4725, 0.546094, 0.47125, 0.546875, 0.47, 0.547656, 0.46875, 0.548438, 0.4675, 0.549219, 0.4675, 0.55, 0.46625, 0.55, 0.465, 0.550781, 0.46375, 0.551562, 0.4625, 0.552344, 0.46125, 0.553125, 0.46125, 0.553906, 0.46, 0.553906, 0.45875, 0.554688, 0.4575, 0.555469, 0.45625, 0.55625, 0.455, 0.557031, 0.455, 0.557031, 0.45375, 0.557813, 0.4525, 0.558594, 0.45125, 0.558594, 0.45, 0.559375, 0.44875, 0.560156, 0.4475, 0.560937, 0.44625, 0.560937, 0.445, 0.561719, 0.44375, 0.561719, 0.4425, 0.561719, 0.44125, 0.561719, 0.44, 0.561719, 0.43875, 0.561719, 0.4375, 0.561719, 0.43625, 0.561719, 0.435, 0.561719, 0.43375, 0.561719, 0.4325, 0.561719, 0.43125, 0.561719, 0.43, 0.5625, 0.42875, 0.5625, 0.4275, 0.5625, 0.42625, 0.563281, 0.425, 0.564063, 0.425, 0.564844, 0.42375, 0.565625, 0.4225, 0.565625, 0.42125, 0.566406, 0.42, 0.566406, 0.41875, 0.567187, 0.4175, 0.567969, 0.4175, 0.56875, 0.41625, 0.569531, 0.415, 0.569531, 0.41375, 0.570312, 0.4125, 0.571094, 0.41125, 0.571094, 0.41, 0.571875, 0.40875, 0.572656, 0.4075, 0.572656, 0.40625, 0.573438, 0.405, 0.573438, 0.40375, 0.573438, 0.4025, 0.573438, 0.40125, 0.573438, 0.4, 0.573438, 0.39875, 0.573438, 0.3975, 0.573438, 0.39625, 0.574219, 0.395, 0.574219, 0.39375, 0.574219, 0.3925, 0.574219, 0.39125, 0.574219, 0.39, 0.574219, 0.38875, 0.574219, 0.3875, 0.574219, 0.38625, 0.574219, 0.385, 0.574219, 0.38375, 0.574219, 0.3825, 0.573438, 0.38125, 0.573438, 0.38, 0.573438, 0.37875, 0.573438, 0.3775, 0.573438, 0.37625, 0.573438, 0.375, 0.573438, 0.37375, 0.573438, 0.3725, 0.572656, 0.37125, 0.572656, 0.37, 0.571875, 0.36875, 0.571094, 0.36875, 0.570312, 0.3675, 0.570312, 0.36625, 0.569531, 0.365, 0.569531, 0.36375, 0.569531, 0.3625, 0.569531, 0.36125, 0.569531, 0.36, 0.569531, 0.35875, 0.56875, 0.3575, 0.567969, 0.35625, 0.567187, 0.35625, 0.566406, 0.355, 0.566406, 0.35375, 0.565625, 0.3525, 0.565625, 0.35125, 0.565625, 0.35, 0.565625, 0.34875, 0.565625, 0.3475, 0.564844, 0.34625, 0.564844, 0.345, 0.564063, 0.345, 0.563281, 0.34375, 0.5625, 0.3425, 0.561719, 0.34125, 0.561719, 0.34, 0.560937, 0.33875, 0.560156, 0.3375, 0.559375, 0.33625, 0.558594, 0.335, 0.557813, 0.33375, 0.557813, 0.3325, 0.557031, 0.33125, 0.55625, 0.33125, 0.555469, 0.33, 0.554688, 0.32875, 0.553906, 0.3275, 0.553906, 0.32625, 0.553125, 0.32625, 0.552344, 0.325, 0.551562, 0.32375, 0.550781, 0.32375, 0.55, 0.3225, 0.55, 0.32125, 0.549219, 0.32, 0.548438, 0.31875, 0.547656, 0.31875, 0.546875, 0.31875, 0.546094, 0.31875, 0.545312, 0.31875, 0.544531, 0.31875, 0.54375, 0.31875, 0.542969, 0.31875, 0.542188, 0.31875, 0.541406, 0.3175, 0.540625, 0.3175, 0.539844, 0.31625, 0.539062, 0.315, 0.538281, 0.31375, 0.5375, 0.3125, 0.536719, 0.3125, 0.535937, 0.3125, 0.535156, 0.3125, 0.534375, 0.31125, 0.533594, 0.31125, 0.532813, 0.31125, 0.532031, 0.31, 0.53125, 0.31, 0.530469, 0.31, 0.529687, 0.31, 0.528906, 0.31, 0.528125, 0.31, 0.527344, 0.31, 0.526563, 0.31, 0.525781, 0.31, 0.525, 0.31, 0.524219, 0.31, 0.523438, 0.31, 0.522656, 0.31, 0.521875, 0.31, 0.521094, 0.31, 0.520312, 0.31, 0.519531, 0.31, 0.51875, 0.31, 0.517969, 0.31, 0.517188, 0.31, 0.516406, 0.31, 0.515625, 0.31, 0.514844, 0.31, 0.514062, 0.31, 0.513281, 0.31, 0.5125, 0.31 ], [ 4, 0.799219, 0.35375, 0.798438, 0.355, 0.797656, 0.355, 0.796875, 0.35625, 0.796875, 0.3575, 0.796094, 0.35875, 0.796094, 0.36, 0.795312, 0.36125, 0.794531, 0.36125, 0.79375, 0.3625, 0.792969, 0.3625, 0.792188, 0.36375, 0.791406, 0.365, 0.790625, 0.36625, 0.789844, 0.36625, 0.789062, 0.36625, 0.788281, 0.3675, 0.7875, 0.3675, 0.786719, 0.3675, 0.785937, 0.3675, 0.785156, 0.36875, 0.784375, 0.36875, 0.783594, 0.36875, 0.782813, 0.36875, 0.782031, 0.36875, 0.78125, 0.37, 0.780469, 0.37125, 0.779687, 0.3725, 0.778906, 0.37375, 0.778125, 0.375, 0.777344, 0.37625, 0.776563, 0.3775, 0.775781, 0.37875, 0.775, 0.38, 0.774219, 0.38, 0.773438, 0.38125, 0.772656, 0.38125, 0.771875, 0.3825, 0.771094, 0.3825, 0.770312, 0.38375, 0.769531, 0.385, 0.76875, 0.38625, 0.767969, 0.38625, 0.767188, 0.3875, 0.766406, 0.3875, 0.765625, 0.38875, 0.764844, 0.39, 0.764844, 0.39125, 0.764062, 0.3925, 0.763281, 0.39375, 0.7625, 0.395, 0.761719, 0.39625, 0.761719, 0.3975, 0.761719, 0.39875, 0.760938, 0.4, 0.760938, 0.40125, 0.760938, 0.4025, 0.760156, 0.40375, 0.759375, 0.405, 0.758594, 0.40625, 0.758594, 0.4075, 0.757812, 0.40875, 0.757812, 0.41, 0.757812, 0.41125, 0.757031, 0.4125, 0.757031, 0.41375, 0.757031, 0.415, 0.75625, 0.41625, 0.755469, 0.4175, 0.754687, 0.41875, 0.754687, 0.42, 0.753906, 0.42125, 0.753906, 0.4225, 0.753906, 0.42375, 0.753906, 0.425, 0.753125, 0.42625, 0.753125, 0.4275, 0.752344, 0.42875, 0.751563, 0.43, 0.750781, 0.43125, 0.750781, 0.4325, 0.75, 0.43375, 0.75, 0.435, 0.75, 0.43625, 0.75, 0.4375, 0.75, 0.43875, 0.749219, 0.44, 0.749219, 0.44125, 0.748437, 0.4425, 0.747656, 0.44375, 0.746875, 0.445, 0.746094, 0.44625, 0.746094, 0.4475, 0.746094, 0.44875, 0.746094, 0.45, 0.745313, 0.45125, 0.745313, 0.4525, 0.744531, 0.45375, 0.74375, 0.455, 0.742969, 0.45625, 0.742969, 0.4575, 0.742188, 0.45875, 0.742188, 0.46, 0.742188, 0.46125, 0.742188, 0.4625, 0.742188, 0.46375, 0.742188, 0.465, 0.741406, 0.46625, 0.741406, 0.4675, 0.740625, 0.46875, 0.739844, 0.47, 0.739844, 0.47125, 0.739062, 0.4725, 0.739062, 0.47375, 0.738281, 0.475, 0.738281, 0.47625, 0.738281, 0.4775, 0.738281, 0.47875, 0.738281, 0.48, 0.7375, 0.48125, 0.7375, 0.4825, 0.7375, 0.48375, 0.736719, 0.485, 0.735938, 0.48625, 0.735156, 0.48625, 0.735156, 0.4875, 0.735156, 0.48875, 0.735156, 0.49, 0.735156, 0.49125, 0.735156, 0.4925, 0.735156, 0.49375, 0.735156, 0.495, 0.735156, 0.49625, 0.735156, 0.4975, 0.735156, 0.49875, 0.735156, 0.5, 0.735156, 0.50125, 0.735156, 0.5025, 0.735156, 0.50375, 0.735156, 0.505, 0.735938, 0.50625, 0.736719, 0.5075, 0.7375, 0.50875, 0.7375, 0.51, 0.738281, 0.51125, 0.738281, 0.5125, 0.739062, 0.51375, 0.739062, 0.515, 0.739844, 0.515, 0.740625, 0.51625, 0.741406, 0.5175, 0.742188, 0.51875, 0.742969, 0.52, 0.74375, 0.52, 0.744531, 0.52125, 0.745313, 0.5225, 0.746094, 0.5225, 0.746875, 0.52375, 0.747656, 0.52375, 0.748437, 0.52375, 0.749219, 0.52375, 0.75, 0.52375, 0.750781, 0.525, 0.751563, 0.525, 0.752344, 0.525, 0.753125, 0.525, 0.753906, 0.52375, 0.754687, 0.52375, 0.755469, 0.52375, 0.75625, 0.52375, 0.757031, 0.52375, 0.757812, 0.52375, 0.758594, 0.52375, 0.759375, 0.52375, 0.760156, 0.52375, 0.760938, 0.52375, 0.761719, 0.52375, 0.7625, 0.52375, 0.763281, 0.52375, 0.764062, 0.52375, 0.764844, 0.52375, 0.765625, 0.52375, 0.766406, 0.52375, 0.767188, 0.52375, 0.767969, 0.52375, 0.76875, 0.52375, 0.769531, 0.52375, 0.770312, 0.52375, 0.771094, 0.52375, 0.771875, 0.52375, 0.772656, 0.52375, 0.773438, 0.52375, 0.774219, 0.52375, 0.775, 0.52375, 0.775781, 0.52375, 0.776563, 0.52375, 0.777344, 0.52375, 0.778125, 0.52375, 0.778906, 0.52375, 0.779687, 0.52375, 0.780469, 0.52375, 0.78125, 0.52375, 0.782031, 0.52375, 0.782813, 0.52375, 0.783594, 0.52375, 0.784375, 0.52375, 0.785156, 0.52375, 0.785937, 0.52375, 0.786719, 0.52375, 0.7875, 0.52375, 0.788281, 0.52375, 0.789062, 0.52375, 0.789844, 0.52375, 0.790625, 0.52375, 0.791406, 0.52375, 0.792188, 0.52375, 0.792969, 0.52375, 0.79375, 0.52375, 0.794531, 0.52375, 0.795312, 0.52375, 0.796094, 0.52375, 0.796875, 0.52375, 0.797656, 0.52375, 0.798438, 0.52375, 0.799219, 0.525, 0.8, 0.525, 0.800781, 0.52625, 0.800781, 0.5275, 0.801562, 0.52875, 0.802344, 0.53, 0.803125, 0.53, 0.803906, 0.53, 0.804688, 0.53, 0.805469, 0.53, 0.80625, 0.53, 0.807031, 0.53, 0.807813, 0.53125, 0.808594, 0.53125, 0.809375, 0.53125, 0.810156, 0.5325, 0.810937, 0.53375, 0.811719, 0.535, 0.8125, 0.535, 0.813281, 0.53625, 0.814063, 0.53625, 0.814844, 0.53625, 0.815625, 0.53625, 0.816406, 0.53625, 0.817187, 0.53625, 0.817969, 0.5375, 0.81875, 0.5375, 0.819531, 0.53875, 0.820312, 0.54, 0.821094, 0.54125, 0.821875, 0.54125, 0.822656, 0.54125, 0.823438, 0.54125, 0.824219, 0.54125, 0.825, 0.54125, 0.825781, 0.54125, 0.826562, 0.54125, 0.827344, 0.54125, 0.828125, 0.54125, 0.828906, 0.54125, 0.829688, 0.54125, 0.830469, 0.54125, 0.83125, 0.54125, 0.832031, 0.54125, 0.832812, 0.54125, 0.833594, 0.54125, 0.834375, 0.54125, 0.835156, 0.54125, 0.835938, 0.54125, 0.836719, 0.54125, 0.8375, 0.54125, 0.838281, 0.54125, 0.839063, 0.54125, 0.839844, 0.54125, 0.840625, 0.54, 0.841406, 0.53875, 0.842187, 0.5375, 0.842969, 0.5375, 0.84375, 0.53625, 0.844531, 0.53625, 0.845313, 0.53625, 0.846094, 0.535, 0.846875, 0.53375, 0.846875, 0.5325, 0.846875, 0.53125, 0.846875, 0.53, 0.846875, 0.52875, 0.847656, 0.5275, 0.847656, 0.52625, 0.848437, 0.525, 0.849219, 0.525, 0.85, 0.52375, 0.85, 0.5225, 0.850781, 0.52125, 0.850781, 0.52, 0.850781, 0.51875, 0.850781, 0.5175, 0.850781, 0.51625, 0.850781, 0.515, 0.850781, 0.51375, 0.850781, 0.5125, 0.850781, 0.51125, 0.850781, 0.51, 0.850781, 0.50875, 0.850781, 0.5075, 0.85, 0.50625, 0.849219, 0.505, 0.848437, 0.50375, 0.847656, 0.5025, 0.847656, 0.50125, 0.847656, 0.5, 0.846875, 0.49875, 0.846875, 0.4975, 0.846875, 0.49625, 0.846094, 0.495, 0.846094, 0.49375, 0.845313, 0.49375, 0.844531, 0.4925, 0.84375, 0.49125, 0.842969, 0.49, 0.842969, 0.48875, 0.842969, 0.4875, 0.842969, 0.48625, 0.842969, 0.485, 0.842969, 0.48375, 0.842969, 0.4825, 0.842969, 0.48125, 0.842969, 0.48, 0.842969, 0.47875, 0.842969, 0.4775, 0.842969, 0.47625, 0.842969, 0.475, 0.842969, 0.47375, 0.842969, 0.4725, 0.842969, 0.47125, 0.842969, 0.47, 0.842969, 0.46875, 0.842969, 0.4675, 0.842969, 0.46625, 0.842969, 0.465, 0.842969, 0.46375, 0.842969, 0.4625, 0.842969, 0.46125, 0.842969, 0.46, 0.842969, 0.45875, 0.842187, 0.4575, 0.841406, 0.45625, 0.840625, 0.455, 0.839844, 0.45375, 0.839063, 0.4525, 0.838281, 0.45125, 0.838281, 0.45, 0.8375, 0.45, 0.836719, 0.44875, 0.835938, 0.4475, 0.835156, 0.44625, 0.835156, 0.445, 0.835156, 0.44375, 0.835156, 0.4425, 0.835156, 0.44125, 0.835156, 0.44, 0.835156, 0.43875, 0.835156, 0.4375, 0.835156, 0.43625, 0.835156, 0.435, 0.835156, 0.43375, 0.835156, 0.4325, 0.835156, 0.43125, 0.835156, 0.43, 0.835156, 0.42875, 0.835156, 0.4275, 0.834375, 0.42625, 0.834375, 0.425, 0.833594, 0.42375, 0.832812, 0.4225, 0.832031, 0.42125, 0.832031, 0.42, 0.832031, 0.41875, 0.832031, 0.4175, 0.832031, 0.41625, 0.832031, 0.415, 0.832812, 0.41375, 0.833594, 0.4125, 0.834375, 0.41125, 0.835156, 0.41125, 0.835938, 0.41125, 0.836719, 0.41, 0.8375, 0.41, 0.838281, 0.40875, 0.839063, 0.4075, 0.839844, 0.40625, 0.840625, 0.405, 0.841406, 0.405, 0.842187, 0.40375, 0.842969, 0.4025, 0.842969, 0.40125, 0.842969, 0.4, 0.842969, 0.39875, 0.84375, 0.3975, 0.84375, 0.39625, 0.844531, 0.395, 0.845313, 0.39375, 0.846094, 0.3925, 0.846094, 0.39125, 0.846094, 0.39, 0.846094, 0.38875, 0.846094, 0.3875, 0.845313, 0.38625, 0.844531, 0.385, 0.84375, 0.38375, 0.84375, 0.3825, 0.84375, 0.38125, 0.842969, 0.38, 0.842969, 0.37875, 0.842969, 0.3775, 0.842187, 0.37625, 0.841406, 0.375, 0.840625, 0.37375, 0.839844, 0.3725, 0.839063, 0.37125, 0.838281, 0.37, 0.8375, 0.36875, 0.836719, 0.3675, 0.835938, 0.36625, 0.835156, 0.365, 0.834375, 0.36375, 0.833594, 0.3625, 0.832812, 0.3625, 0.832031, 0.3625, 0.83125, 0.3625, 0.830469, 0.3625, 0.829688, 0.3625, 0.828906, 0.36125, 0.828125, 0.36125, 0.827344, 0.36, 0.827344, 0.35875, 0.826562, 0.3575, 0.825781, 0.35625, 0.825, 0.35625, 0.824219, 0.35625, 0.823438, 0.35625, 0.822656, 0.35625, 0.821875, 0.35625, 0.821094, 0.355, 0.820312, 0.35375, 0.819531, 0.35375, 0.81875, 0.35375, 0.817969, 0.35375, 0.817187, 0.35375, 0.816406, 0.35375, 0.815625, 0.35375, 0.814844, 0.35375, 0.814063, 0.35375, 0.813281, 0.35375, 0.8125, 0.35375, 0.811719, 0.35375, 0.810937, 0.35375, 0.810156, 0.35375, 0.809375, 0.35375, 0.808594, 0.35375, 0.807813, 0.35375, 0.807031, 0.35375, 0.80625, 0.35375, 0.805469, 0.35375, 0.804688, 0.35375, 0.803906, 0.35375, 0.803125, 0.35375, 0.802344, 0.35375, 0.801562, 0.35375, 0.800781, 0.35375, 0.8, 0.35375 ], [ 3, 0.688281, 0.6925, 0.688281, 0.69375, 0.688281, 0.695, 0.688281, 0.69625, 0.688281, 0.6975, 0.6875, 0.69875, 0.6875, 0.7, 0.6875, 0.70125, 0.6875, 0.7025, 0.6875, 0.70375, 0.686719, 0.705, 0.686719, 0.70625, 0.685937, 0.7075, 0.685937, 0.70875, 0.685156, 0.71, 0.685156, 0.71125, 0.684375, 0.7125, 0.684375, 0.71375, 0.684375, 0.715, 0.684375, 0.71625, 0.684375, 0.7175, 0.684375, 0.71875, 0.683594, 0.72, 0.683594, 0.72125, 0.683594, 0.7225, 0.683594, 0.72375, 0.683594, 0.725, 0.683594, 0.72625, 0.683594, 0.7275, 0.683594, 0.72875, 0.683594, 0.73, 0.682813, 0.73125, 0.682813, 0.7325, 0.682813, 0.73375, 0.682031, 0.735, 0.68125, 0.73625, 0.680469, 0.7375, 0.679688, 0.73875, 0.678906, 0.74, 0.678125, 0.74125, 0.677344, 0.7425, 0.676562, 0.7425, 0.675781, 0.74375, 0.675, 0.74375, 0.674219, 0.74375, 0.673438, 0.74375, 0.672656, 0.745, 0.671875, 0.74625, 0.671875, 0.7475, 0.671094, 0.74875, 0.670312, 0.74875, 0.669531, 0.75, 0.66875, 0.75, 0.667969, 0.75125, 0.667188, 0.75125, 0.666406, 0.7525, 0.665625, 0.75375, 0.664844, 0.755, 0.664062, 0.755, 0.663281, 0.755, 0.6625, 0.75625, 0.661719, 0.75625, 0.660937, 0.75625, 0.660156, 0.75625, 0.659375, 0.75625, 0.658594, 0.75625, 0.657813, 0.75625, 0.657031, 0.7575, 0.65625, 0.75875, 0.65625, 0.76, 0.655469, 0.76125, 0.654687, 0.76125, 0.653906, 0.7625, 0.653125, 0.7625, 0.652344, 0.76375, 0.651563, 0.76375, 0.650781, 0.765, 0.65, 0.76625, 0.649219, 0.7675, 0.648438, 0.7675, 0.647656, 0.76875, 0.646875, 0.76875, 0.646094, 0.76875, 0.645312, 0.76875, 0.644531, 0.76875, 0.64375, 0.77, 0.642969, 0.77, 0.642188, 0.77, 0.641406, 0.77125, 0.640625, 0.7725, 0.639844, 0.77375, 0.639062, 0.77375, 0.638281, 0.775, 0.6375, 0.775, 0.636719, 0.775, 0.635938, 0.775, 0.635156, 0.775, 0.634375, 0.775, 0.633594, 0.775, 0.632812, 0.775, 0.632031, 0.775, 0.63125, 0.775, 0.630469, 0.77625, 0.630469, 0.7775, 0.630469, 0.77875, 0.630469, 0.78, 0.630469, 0.78125, 0.630469, 0.7825, 0.630469, 0.78375, 0.630469, 0.785, 0.630469, 0.78625, 0.630469, 0.7875, 0.630469, 0.78875, 0.630469, 0.79, 0.630469, 0.79125, 0.630469, 0.7925, 0.630469, 0.79375, 0.630469, 0.795, 0.630469, 0.79625, 0.630469, 0.7975, 0.630469, 0.79875, 0.63125, 0.8, 0.632031, 0.80125, 0.632812, 0.8025, 0.632812, 0.80375, 0.633594, 0.805, 0.634375, 0.80625, 0.635156, 0.8075, 0.635938, 0.80875, 0.636719, 0.81, 0.6375, 0.81125, 0.638281, 0.81125, 0.639062, 0.8125, 0.639844, 0.81375, 0.640625, 0.815, 0.641406, 0.81625, 0.642188, 0.8175, 0.642969, 0.8175, 0.64375, 0.8175, 0.644531, 0.8175, 0.645312, 0.8175, 0.646094, 0.81875, 0.646875, 0.81875, 0.647656, 0.82, 0.647656, 0.82125, 0.648438, 0.8225, 0.649219, 0.82375, 0.65, 0.82375, 0.650781, 0.82375, 0.651563, 0.82375, 0.652344, 0.82375, 0.653125, 0.82375, 0.653906, 0.82375, 0.654687, 0.82375, 0.655469, 0.82375, 0.65625, 0.82375, 0.657031, 0.82375, 0.657813, 0.82375, 0.658594, 0.82375, 0.659375, 0.82375, 0.660156, 0.82375, 0.660937, 0.82375, 0.661719, 0.82375, 0.6625, 0.82375, 0.663281, 0.82375, 0.664062, 0.82375, 0.664844, 0.82375, 0.665625, 0.82375, 0.666406, 0.825, 0.667188, 0.82625, 0.667969, 0.82625, 0.66875, 0.82625, 0.669531, 0.82625, 0.670312, 0.82625, 0.671094, 0.82625, 0.671875, 0.82625, 0.672656, 0.82625, 0.673438, 0.82625, 0.674219, 0.82625, 0.675, 0.82625, 0.675781, 0.82625, 0.676562, 0.82625, 0.677344, 0.82625, 0.678125, 0.82625, 0.678906, 0.82625, 0.679688, 0.82625, 0.680469, 0.82625, 0.68125, 0.82625, 0.682031, 0.82625, 0.682813, 0.82625, 0.683594, 0.825, 0.684375, 0.82375, 0.685156, 0.82375, 0.685937, 0.82375, 0.686719, 0.8225, 0.6875, 0.82125, 0.6875, 0.82, 0.688281, 0.81875, 0.689063, 0.81875, 0.689844, 0.8175, 0.690625, 0.8175, 0.691406, 0.8175, 0.692187, 0.8175, 0.692969, 0.8175, 0.69375, 0.8175, 0.694531, 0.8175, 0.695312, 0.8175, 0.696094, 0.8175, 0.696875, 0.8175, 0.697656, 0.81625, 0.698438, 0.815, 0.698438, 0.81375, 0.699219, 0.8125, 0.7, 0.8125, 0.700781, 0.81125, 0.701562, 0.81, 0.702344, 0.80875, 0.703125, 0.8075, 0.703906, 0.80625, 0.704688, 0.805, 0.705469, 0.80375, 0.70625, 0.8025, 0.707031, 0.80125, 0.707812, 0.8, 0.708594, 0.79875, 0.709375, 0.7975, 0.710156, 0.79625, 0.710156, 0.795, 0.710938, 0.79375, 0.710938, 0.7925, 0.711719, 0.79125, 0.711719, 0.79, 0.7125, 0.78875, 0.713281, 0.7875, 0.713281, 0.78625, 0.714063, 0.785, 0.714063, 0.78375, 0.714063, 0.7825, 0.714844, 0.78125, 0.715625, 0.78, 0.716406, 0.77875, 0.717187, 0.77875, 0.717187, 0.7775, 0.717969, 0.77625, 0.717969, 0.775, 0.717969, 0.77375, 0.717969, 0.7725, 0.717969, 0.77125, 0.717969, 0.77, 0.717969, 0.76875, 0.717969, 0.7675, 0.717969, 0.76625, 0.717969, 0.765, 0.717969, 0.76375, 0.71875, 0.7625, 0.71875, 0.76125, 0.719531, 0.76, 0.720313, 0.75875, 0.720313, 0.7575, 0.720313, 0.75625, 0.720313, 0.755, 0.720313, 0.75375, 0.720313, 0.7525, 0.720313, 0.75125, 0.720313, 0.75, 0.720313, 0.74875, 0.720313, 0.7475, 0.720313, 0.74625, 0.720313, 0.745, 0.720313, 0.74375, 0.720313, 0.7425, 0.720313, 0.74125, 0.720313, 0.74, 0.720313, 0.73875, 0.720313, 0.7375, 0.719531, 0.73625, 0.71875, 0.735, 0.717969, 0.73375, 0.717969, 0.7325, 0.717969, 0.73125, 0.717187, 0.73, 0.716406, 0.72875, 0.716406, 0.7275, 0.715625, 0.72625, 0.714844, 0.725, 0.714063, 0.72375, 0.713281, 0.7225, 0.7125, 0.72125, 0.711719, 0.72, 0.710938, 0.71875, 0.710938, 0.7175, 0.710156, 0.71625, 0.710156, 0.715, 0.709375, 0.71375, 0.708594, 0.7125, 0.707812, 0.71125, 0.707031, 0.71, 0.70625, 0.70875, 0.70625, 0.7075, 0.70625, 0.70625, 0.705469, 0.705, 0.705469, 0.70375, 0.704688, 0.7025, 0.703906, 0.70125, 0.703125, 0.7, 0.703125, 0.69875, 0.702344, 0.6975, 0.702344, 0.69625, 0.701562, 0.695, 0.700781, 0.69375, 0.7, 0.69375, 0.699219, 0.6925, 0.698438, 0.6925, 0.697656, 0.6925, 0.696875, 0.6925, 0.696094, 0.6925, 0.695312, 0.6925, 0.694531, 0.6925, 0.69375, 0.6925, 0.692969, 0.6925, 0.692187, 0.6925, 0.691406, 0.6925, 0.690625, 0.6925, 0.689844, 0.6925, 0.689063, 0.6925 ], [ 5, 0.524219, 0.6, 0.523438, 0.60125, 0.522656, 0.60125, 0.521875, 0.6025, 0.521094, 0.60375, 0.520312, 0.605, 0.519531, 0.605, 0.51875, 0.605, 0.517969, 0.60625, 0.517188, 0.60625, 0.516406, 0.60625, 0.515625, 0.6075, 0.514844, 0.60875, 0.514844, 0.61, 0.514062, 0.61125, 0.513281, 0.61125, 0.5125, 0.61125, 0.511719, 0.6125, 0.510938, 0.6125, 0.510156, 0.6125, 0.509375, 0.6125, 0.508594, 0.6125, 0.507812, 0.6125, 0.507031, 0.6125, 0.50625, 0.61375, 0.505469, 0.61375, 0.504687, 0.615, 0.503906, 0.61625, 0.503125, 0.6175, 0.502344, 0.61875, 0.501563, 0.61875, 0.500781, 0.61875, 0.5, 0.61875, 0.499219, 0.61875, 0.498437, 0.61875, 0.497656, 0.61875, 0.496875, 0.62, 0.496094, 0.62125, 0.495312, 0.6225, 0.494531, 0.62375, 0.49375, 0.625, 0.492969, 0.62625, 0.492188, 0.6275, 0.491406, 0.62875, 0.490625, 0.63, 0.489844, 0.63125, 0.489063, 0.6325, 0.488281, 0.63375, 0.4875, 0.635, 0.486719, 0.63625, 0.485938, 0.6375, 0.485156, 0.63875, 0.484375, 0.64, 0.483594, 0.64125, 0.482812, 0.6425, 0.482031, 0.64375, 0.48125, 0.645, 0.480469, 0.64625, 0.480469, 0.6475, 0.480469, 0.64875, 0.480469, 0.65, 0.479687, 0.65125, 0.479687, 0.6525, 0.479687, 0.65375, 0.479687, 0.655, 0.479687, 0.65625, 0.479687, 0.6575, 0.479687, 0.65875, 0.479687, 0.66, 0.479687, 0.66125, 0.479687, 0.6625, 0.479687, 0.66375, 0.479687, 0.665, 0.479687, 0.66625, 0.479687, 0.6675, 0.479687, 0.66875, 0.479687, 0.67, 0.479687, 0.67125, 0.479687, 0.6725, 0.479687, 0.67375, 0.479687, 0.675, 0.479687, 0.67625, 0.479687, 0.6775, 0.479687, 0.67875, 0.479687, 0.68, 0.480469, 0.68125, 0.480469, 0.6825, 0.480469, 0.68375, 0.480469, 0.685, 0.480469, 0.68625, 0.480469, 0.6875, 0.480469, 0.68875, 0.480469, 0.69, 0.480469, 0.69125, 0.480469, 0.6925, 0.480469, 0.69375, 0.480469, 0.695, 0.480469, 0.69625, 0.480469, 0.6975, 0.480469, 0.69875, 0.48125, 0.7, 0.48125, 0.70125, 0.48125, 0.7025, 0.48125, 0.70375, 0.48125, 0.705, 0.482031, 0.70625, 0.482031, 0.7075, 0.482031, 0.70875, 0.482812, 0.71, 0.483594, 0.71125, 0.483594, 0.7125, 0.484375, 0.71375, 0.484375, 0.715, 0.485156, 0.71625, 0.485156, 0.7175, 0.485938, 0.7175, 0.486719, 0.71875, 0.4875, 0.72, 0.4875, 0.72125, 0.488281, 0.7225, 0.488281, 0.72375, 0.489063, 0.725, 0.489063, 0.72625, 0.489844, 0.7275, 0.490625, 0.72875, 0.490625, 0.73, 0.491406, 0.73125, 0.492188, 0.7325, 0.492188, 0.73375, 0.492969, 0.735, 0.49375, 0.73625, 0.494531, 0.73625, 0.495312, 0.7375, 0.496094, 0.73875, 0.496875, 0.74, 0.497656, 0.74125, 0.498437, 0.7425, 0.499219, 0.74375, 0.5, 0.745, 0.500781, 0.74625, 0.500781, 0.7475, 0.501563, 0.7475, 0.502344, 0.74875, 0.503125, 0.75, 0.503906, 0.75125, 0.503906, 0.7525, 0.504687, 0.75375, 0.505469, 0.755, 0.50625, 0.755, 0.507031, 0.75625, 0.507812, 0.7575, 0.507812, 0.75875, 0.508594, 0.76, 0.509375, 0.76125, 0.510156, 0.76125, 0.510938, 0.76125, 0.511719, 0.76125, 0.5125, 0.76125, 0.513281, 0.76125, 0.514062, 0.7625, 0.514844, 0.7625, 0.515625, 0.76375, 0.515625, 0.765, 0.516406, 0.76625, 0.517188, 0.7675, 0.517969, 0.7675, 0.51875, 0.7675, 0.519531, 0.7675, 0.520312, 0.7675, 0.521094, 0.7675, 0.521875, 0.7675, 0.522656, 0.7675, 0.523438, 0.7675, 0.524219, 0.7675, 0.525, 0.7675, 0.525781, 0.7675, 0.526563, 0.7675, 0.527344, 0.7675, 0.528125, 0.7675, 0.528906, 0.7675, 0.529687, 0.76875, 0.530469, 0.77, 0.53125, 0.77125, 0.532031, 0.7725, 0.532813, 0.77375, 0.533594, 0.77375, 0.534375, 0.77375, 0.535156, 0.77375, 0.535937, 0.77375, 0.536719, 0.77375, 0.5375, 0.77375, 0.538281, 0.77375, 0.539062, 0.77375, 0.539844, 0.77375, 0.540625, 0.77375, 0.541406, 0.77375, 0.542188, 0.77375, 0.542969, 0.77375, 0.54375, 0.77375, 0.544531, 0.77375, 0.545312, 0.77375, 0.546094, 0.77375, 0.546875, 0.77375, 0.547656, 0.7725, 0.548438, 0.7725, 0.549219, 0.77125, 0.55, 0.77, 0.550781, 0.76875, 0.551562, 0.7675, 0.552344, 0.7675, 0.553125, 0.76625, 0.553906, 0.765, 0.554688, 0.76375, 0.555469, 0.7625, 0.55625, 0.76125, 0.557031, 0.76125, 0.557813, 0.76, 0.558594, 0.76, 0.559375, 0.75875, 0.560156, 0.75875, 0.560937, 0.7575, 0.561719, 0.75625, 0.5625, 0.75625, 0.563281, 0.755, 0.564063, 0.755, 0.564844, 0.75375, 0.565625, 0.7525, 0.566406, 0.75125, 0.567187, 0.75, 0.567969, 0.74875, 0.56875, 0.7475, 0.569531, 0.74625, 0.570312, 0.745, 0.571094, 0.74375, 0.571875, 0.7425, 0.572656, 0.74125, 0.573438, 0.74, 0.573438, 0.73875, 0.573438, 0.7375, 0.574219, 0.73625, 0.574219, 0.735, 0.575, 0.73375, 0.575781, 0.7325, 0.576562, 0.73125, 0.576562, 0.73, 0.577344, 0.72875, 0.577344, 0.7275, 0.577344, 0.72625, 0.577344, 0.725, 0.577344, 0.72375, 0.577344, 0.7225, 0.577344, 0.72125, 0.577344, 0.72, 0.577344, 0.71875, 0.577344, 0.7175, 0.577344, 0.71625, 0.576562, 0.715, 0.576562, 0.71375, 0.576562, 0.7125, 0.576562, 0.71125, 0.576562, 0.71, 0.576562, 0.70875, 0.576562, 0.7075, 0.576562, 0.70625, 0.576562, 0.705, 0.576562, 0.70375, 0.576562, 0.7025, 0.576562, 0.70125, 0.576562, 0.7, 0.576562, 0.69875, 0.575781, 0.6975, 0.575781, 0.69625, 0.576562, 0.695, 0.576562, 0.69375, 0.577344, 0.6925, 0.577344, 0.69125, 0.577344, 0.69, 0.578125, 0.68875, 0.578125, 0.6875, 0.578125, 0.68625, 0.578906, 0.685, 0.578906, 0.68375, 0.578906, 0.6825, 0.578906, 0.68125, 0.578906, 0.68, 0.578906, 0.67875, 0.578906, 0.6775, 0.578906, 0.67625, 0.578906, 0.675, 0.578906, 0.67375, 0.578906, 0.6725, 0.578125, 0.67125, 0.578125, 0.67, 0.578125, 0.66875, 0.578125, 0.6675, 0.578125, 0.66625, 0.578125, 0.665, 0.578125, 0.66375, 0.578125, 0.6625, 0.578125, 0.66125, 0.578125, 0.66, 0.578125, 0.65875, 0.578125, 0.6575, 0.578125, 0.65625, 0.577344, 0.655, 0.577344, 0.65375, 0.577344, 0.6525, 0.577344, 0.65125, 0.577344, 0.65, 0.577344, 0.64875, 0.577344, 0.6475, 0.577344, 0.64625, 0.577344, 0.645, 0.577344, 0.64375, 0.577344, 0.6425, 0.577344, 0.64125, 0.577344, 0.64, 0.577344, 0.63875, 0.577344, 0.6375, 0.577344, 0.63625, 0.576562, 0.635, 0.576562, 0.63375, 0.575781, 0.6325, 0.575, 0.63125, 0.574219, 0.63, 0.573438, 0.62875, 0.573438, 0.6275, 0.573438, 0.62625, 0.572656, 0.625, 0.571875, 0.62375, 0.571094, 0.6225, 0.570312, 0.62125, 0.570312, 0.62, 0.569531, 0.61875, 0.569531, 0.6175, 0.569531, 0.61625, 0.56875, 0.615, 0.56875, 0.61375, 0.567969, 0.61375, 0.567187, 0.6125, 0.566406, 0.61125, 0.566406, 0.61, 0.565625, 0.60875, 0.564844, 0.6075, 0.564063, 0.60625, 0.563281, 0.60625, 0.5625, 0.60625, 0.561719, 0.605, 0.560937, 0.605, 0.560156, 0.60375, 0.559375, 0.6025, 0.558594, 0.60125, 0.557813, 0.60125, 0.557031, 0.6, 0.55625, 0.6, 0.555469, 0.6, 0.554688, 0.6, 0.553906, 0.6, 0.553125, 0.6, 0.552344, 0.6, 0.551562, 0.6, 0.550781, 0.6, 0.55, 0.6, 0.549219, 0.6, 0.548438, 0.6, 0.547656, 0.6, 0.546875, 0.6, 0.546094, 0.6, 0.545312, 0.6, 0.544531, 0.6, 0.54375, 0.6, 0.542969, 0.6, 0.542188, 0.6, 0.541406, 0.6, 0.540625, 0.6, 0.539844, 0.6, 0.539062, 0.6, 0.538281, 0.6, 0.5375, 0.6, 0.536719, 0.6, 0.535937, 0.6, 0.535156, 0.6, 0.534375, 0.6, 0.533594, 0.6, 0.532813, 0.6, 0.532031, 0.6, 0.53125, 0.6, 0.530469, 0.6, 0.529687, 0.6, 0.528906, 0.6, 0.528125, 0.6, 0.527344, 0.6, 0.526563, 0.6, 0.525781, 0.6, 0.525, 0.6 ], [ 2, 0.4, 0.33875, 0.399219, 0.34, 0.398438, 0.34, 0.397656, 0.34125, 0.396875, 0.3425, 0.396094, 0.3425, 0.395313, 0.3425, 0.394531, 0.3425, 0.39375, 0.34375, 0.392969, 0.34375, 0.392188, 0.34375, 0.391406, 0.34375, 0.390625, 0.34375, 0.389844, 0.34375, 0.389062, 0.34375, 0.388281, 0.34375, 0.3875, 0.34375, 0.386719, 0.34375, 0.385937, 0.34375, 0.385156, 0.34375, 0.384375, 0.34375, 0.383594, 0.345, 0.382812, 0.34625, 0.382031, 0.3475, 0.38125, 0.34875, 0.380469, 0.35, 0.379688, 0.35, 0.378906, 0.35, 0.378125, 0.35, 0.377344, 0.35, 0.376563, 0.35, 0.375781, 0.35125, 0.375, 0.3525, 0.374219, 0.35375, 0.373437, 0.355, 0.372656, 0.35625, 0.371875, 0.3575, 0.371094, 0.35875, 0.370312, 0.36, 0.369531, 0.36125, 0.36875, 0.3625, 0.367969, 0.36375, 0.367188, 0.365, 0.367188, 0.36625, 0.367188, 0.3675, 0.366406, 0.36875, 0.366406, 0.37, 0.366406, 0.37125, 0.366406, 0.3725, 0.366406, 0.37375, 0.366406, 0.375, 0.366406, 0.37625, 0.366406, 0.3775, 0.367188, 0.37875, 0.367188, 0.38, 0.367188, 0.38125, 0.367188, 0.3825, 0.367188, 0.38375, 0.367969, 0.385, 0.36875, 0.38625, 0.369531, 0.3875, 0.370312, 0.38875, 0.371094, 0.39, 0.371875, 0.39125, 0.372656, 0.3925, 0.373437, 0.39375, 0.374219, 0.395, 0.375, 0.39625, 0.375, 0.3975, 0.375781, 0.39875, 0.376563, 0.4, 0.377344, 0.40125, 0.378125, 0.4025, 0.378906, 0.40375, 0.379688, 0.405, 0.380469, 0.40625, 0.38125, 0.4075, 0.382031, 0.40875, 0.382812, 0.41, 0.382812, 0.41125, 0.383594, 0.4125, 0.384375, 0.41375, 0.385156, 0.415, 0.385937, 0.41625, 0.386719, 0.4175, 0.386719, 0.41875, 0.3875, 0.42, 0.388281, 0.42125, 0.389062, 0.4225, 0.389844, 0.42375, 0.389844, 0.425, 0.390625, 0.42625, 0.391406, 0.4275, 0.391406, 0.42875, 0.392188, 0.43, 0.392969, 0.43125, 0.39375, 0.4325, 0.39375, 0.43375, 0.39375, 0.435, 0.39375, 0.43625, 0.394531, 0.4375, 0.394531, 0.43875, 0.394531, 0.44, 0.394531, 0.44125, 0.394531, 0.4425, 0.394531, 0.44375, 0.394531, 0.445, 0.394531, 0.44625, 0.394531, 0.4475, 0.394531, 0.44875, 0.394531, 0.45, 0.394531, 0.45125, 0.394531, 0.4525, 0.394531, 0.45375, 0.394531, 0.455, 0.394531, 0.45625, 0.394531, 0.4575, 0.39375, 0.45875, 0.39375, 0.46, 0.39375, 0.46125, 0.39375, 0.4625, 0.39375, 0.46375, 0.39375, 0.465, 0.39375, 0.46625, 0.392969, 0.4675, 0.392969, 0.46875, 0.392188, 0.47, 0.392188, 0.47125, 0.392188, 0.4725, 0.391406, 0.47375, 0.391406, 0.475, 0.391406, 0.47625, 0.391406, 0.4775, 0.391406, 0.47875, 0.391406, 0.48, 0.391406, 0.48125, 0.391406, 0.4825, 0.391406, 0.48375, 0.391406, 0.485, 0.391406, 0.48625, 0.391406, 0.4875, 0.391406, 0.48875, 0.392188, 0.49, 0.392188, 0.49125, 0.392969, 0.49125, 0.39375, 0.4925, 0.394531, 0.4925, 0.395313, 0.49375, 0.396094, 0.49375, 0.396875, 0.495, 0.397656, 0.495, 0.398438, 0.49625, 0.399219, 0.49625, 0.4, 0.4975, 0.400781, 0.4975, 0.401562, 0.4975, 0.402344, 0.4975, 0.403125, 0.4975, 0.403906, 0.4975, 0.404687, 0.4975, 0.405469, 0.4975, 0.40625, 0.4975, 0.407031, 0.4975, 0.407813, 0.4975, 0.408594, 0.4975, 0.409375, 0.4975, 0.410156, 0.4975, 0.410938, 0.4975, 0.411719, 0.4975, 0.4125, 0.4975, 0.413281, 0.4975, 0.414062, 0.4975, 0.414844, 0.4975, 0.415625, 0.4975, 0.416406, 0.4975, 0.417187, 0.4975, 0.417969, 0.4975, 0.41875, 0.4975, 0.419531, 0.4975, 0.420312, 0.4975, 0.421094, 0.4975, 0.421875, 0.4975, 0.422656, 0.4975, 0.423438, 0.4975, 0.424219, 0.4975, 0.425, 0.4975, 0.425781, 0.4975, 0.426563, 0.4975, 0.427344, 0.4975, 0.428125, 0.4975, 0.428906, 0.4975, 0.429688, 0.49625, 0.430469, 0.495, 0.43125, 0.49375, 0.432031, 0.4925, 0.432812, 0.4925, 0.433594, 0.49125, 0.434375, 0.49125, 0.435156, 0.49, 0.435937, 0.48875, 0.436719, 0.4875, 0.4375, 0.4875, 0.438281, 0.48625, 0.439063, 0.48625, 0.439844, 0.485, 0.440625, 0.48375, 0.441406, 0.4825, 0.442188, 0.48125, 0.442969, 0.48, 0.44375, 0.48, 0.444531, 0.48, 0.445312, 0.47875, 0.446094, 0.47875, 0.446875, 0.4775, 0.447656, 0.47625, 0.448437, 0.475, 0.449219, 0.475, 0.45, 0.47375, 0.450781, 0.47375, 0.451562, 0.47375, 0.452344, 0.4725, 0.453125, 0.47125, 0.453125, 0.47, 0.453906, 0.46875, 0.454688, 0.46875, 0.455469, 0.4675, 0.45625, 0.4675, 0.457031, 0.46625, 0.457813, 0.465, 0.457813, 0.46375, 0.458594, 0.4625, 0.459375, 0.46125, 0.460156, 0.46, 0.460156, 0.45875, 0.460938, 0.4575, 0.461719, 0.45625, 0.4625, 0.455, 0.463281, 0.45375, 0.464062, 0.4525, 0.464062, 0.45125, 0.464062, 0.45, 0.464844, 0.44875, 0.464844, 0.4475, 0.464844, 0.44625, 0.465625, 0.445, 0.466406, 0.44375, 0.467187, 0.4425, 0.467187, 0.44125, 0.467187, 0.44, 0.467187, 0.43875, 0.467187, 0.4375, 0.467187, 0.43625, 0.467187, 0.435, 0.467187, 0.43375, 0.467187, 0.4325, 0.467187, 0.43125, 0.467187, 0.43, 0.467187, 0.42875, 0.467187, 0.4275, 0.467187, 0.42625, 0.467187, 0.425, 0.467187, 0.42375, 0.467187, 0.4225, 0.467187, 0.42125, 0.467187, 0.42, 0.467187, 0.41875, 0.467187, 0.4175, 0.467187, 0.41625, 0.467187, 0.415, 0.467187, 0.41375, 0.467187, 0.4125, 0.467187, 0.41125, 0.467187, 0.41, 0.467187, 0.40875, 0.467187, 0.4075, 0.467187, 0.40625, 0.466406, 0.405, 0.465625, 0.40375, 0.464844, 0.4025, 0.464844, 0.40125, 0.464062, 0.4, 0.464062, 0.39875, 0.464062, 0.3975, 0.464062, 0.39625, 0.464062, 0.395, 0.464062, 0.39375, 0.464062, 0.3925, 0.464062, 0.39125, 0.464062, 0.39, 0.464062, 0.38875, 0.464062, 0.3875, 0.464062, 0.38625, 0.464062, 0.385, 0.464062, 0.38375, 0.464062, 0.3825, 0.464062, 0.38125, 0.464062, 0.38, 0.464062, 0.37875, 0.464844, 0.3775, 0.464062, 0.37625, 0.464062, 0.375, 0.464062, 0.37375, 0.464062, 0.3725, 0.464062, 0.37125, 0.463281, 0.37, 0.4625, 0.36875, 0.461719, 0.3675, 0.460938, 0.36625, 0.460156, 0.365, 0.459375, 0.36375, 0.458594, 0.3625, 0.457813, 0.3625, 0.457031, 0.3625, 0.45625, 0.3625, 0.455469, 0.3625, 0.454688, 0.3625, 0.453906, 0.36125, 0.453125, 0.36, 0.452344, 0.35875, 0.451562, 0.3575, 0.450781, 0.35625, 0.45, 0.35625, 0.449219, 0.355, 0.448437, 0.35375, 0.448437, 0.3525, 0.447656, 0.35125, 0.446875, 0.35, 0.446094, 0.35, 0.445312, 0.35, 0.444531, 0.34875, 0.44375, 0.34875, 0.442969, 0.3475, 0.442188, 0.34625, 0.441406, 0.345, 0.440625, 0.345, 0.439844, 0.34375, 0.439063, 0.34375, 0.438281, 0.34375, 0.4375, 0.34375, 0.436719, 0.34375, 0.435937, 0.34375, 0.435156, 0.34375, 0.434375, 0.3425, 0.433594, 0.3425, 0.432812, 0.34125, 0.432031, 0.34, 0.43125, 0.33875, 0.430469, 0.33875, 0.429688, 0.33875, 0.428906, 0.33875, 0.428125, 0.33875, 0.427344, 0.33875, 0.426563, 0.33875, 0.425781, 0.33875, 0.425, 0.33875, 0.424219, 0.33875, 0.423438, 0.33875, 0.422656, 0.33875, 0.421875, 0.33875, 0.421094, 0.33875, 0.420312, 0.33875, 0.419531, 0.33875, 0.41875, 0.33875, 0.417969, 0.33875, 0.417187, 0.33875, 0.416406, 0.33875, 0.415625, 0.33875, 0.414844, 0.33875, 0.414062, 0.33875, 0.413281, 0.33875, 0.4125, 0.33875, 0.411719, 0.33875, 0.410938, 0.33875, 0.410156, 0.33875, 0.409375, 0.33875, 0.408594, 0.33875, 0.407813, 0.33875, 0.407031, 0.33875, 0.40625, 0.33875, 0.405469, 0.33875, 0.404687, 0.33875, 0.403906, 0.33875, 0.403125, 0.33875, 0.402344, 0.33875, 0.401562, 0.33875, 0.400781, 0.33875 ], [ 2, 0.4625, 0.21875, 0.461719, 0.22, 0.460938, 0.22125, 0.460156, 0.2225, 0.459375, 0.22375, 0.458594, 0.225, 0.457813, 0.225, 0.457031, 0.225, 0.45625, 0.225, 0.455469, 0.225, 0.454688, 0.225, 0.453906, 0.22625, 0.453125, 0.2275, 0.452344, 0.22875, 0.451562, 0.23, 0.450781, 0.23125, 0.45, 0.2325, 0.449219, 0.23375, 0.448437, 0.235, 0.447656, 0.23625, 0.446875, 0.2375, 0.446094, 0.23875, 0.445312, 0.24, 0.444531, 0.24125, 0.44375, 0.2425, 0.442969, 0.24375, 0.442188, 0.245, 0.441406, 0.24625, 0.440625, 0.2475, 0.439844, 0.24875, 0.439063, 0.25, 0.438281, 0.25125, 0.4375, 0.2525, 0.436719, 0.25375, 0.435937, 0.255, 0.435156, 0.25625, 0.434375, 0.2575, 0.433594, 0.25875, 0.433594, 0.26, 0.433594, 0.26125, 0.432812, 0.2625, 0.432812, 0.26375, 0.432812, 0.265, 0.432031, 0.26625, 0.432031, 0.2675, 0.43125, 0.26875, 0.43125, 0.27, 0.43125, 0.27125, 0.430469, 0.2725, 0.430469, 0.27375, 0.430469, 0.275, 0.429688, 0.27625, 0.429688, 0.2775, 0.429688, 0.27875, 0.429688, 0.28, 0.429688, 0.28125, 0.429688, 0.2825, 0.429688, 0.28375, 0.429688, 0.285, 0.429688, 0.28625, 0.429688, 0.2875, 0.429688, 0.28875, 0.429688, 0.29, 0.429688, 0.29125, 0.429688, 0.2925, 0.429688, 0.29375, 0.429688, 0.295, 0.429688, 0.29625, 0.429688, 0.2975, 0.428906, 0.29875, 0.428906, 0.3, 0.428125, 0.30125, 0.428125, 0.3025, 0.428125, 0.30375, 0.428125, 0.305, 0.428125, 0.30625, 0.428125, 0.3075, 0.428125, 0.30875, 0.428125, 0.31, 0.428125, 0.31125, 0.428125, 0.3125, 0.428125, 0.31375, 0.428125, 0.315, 0.428125, 0.31625, 0.428125, 0.3175, 0.428125, 0.31875, 0.428125, 0.32, 0.428125, 0.32125, 0.428125, 0.3225, 0.428125, 0.32375, 0.428125, 0.325, 0.428125, 0.32625, 0.428125, 0.3275, 0.428125, 0.32875, 0.428125, 0.33, 0.428125, 0.33125, 0.428125, 0.3325, 0.428125, 0.33375, 0.428906, 0.335, 0.429688, 0.335, 0.430469, 0.335, 0.43125, 0.335, 0.432031, 0.33625, 0.432812, 0.33625, 0.433594, 0.33625, 0.434375, 0.3375, 0.435156, 0.3375, 0.435937, 0.33875, 0.436719, 0.34, 0.4375, 0.34125, 0.438281, 0.3425, 0.439063, 0.3425, 0.439844, 0.3425, 0.440625, 0.3425, 0.441406, 0.3425, 0.442188, 0.34375, 0.442969, 0.34375, 0.44375, 0.345, 0.444531, 0.34625, 0.445312, 0.3475, 0.446094, 0.34875, 0.446875, 0.34875, 0.447656, 0.35, 0.448437, 0.35125, 0.449219, 0.3525, 0.45, 0.35375, 0.450781, 0.355, 0.451562, 0.35625, 0.452344, 0.3575, 0.453125, 0.35875, 0.453906, 0.36, 0.454688, 0.36125, 0.455469, 0.36125, 0.45625, 0.36125, 0.457031, 0.36125, 0.457813, 0.36125, 0.458594, 0.36125, 0.459375, 0.3625, 0.460156, 0.36375, 0.460938, 0.365, 0.461719, 0.365, 0.4625, 0.365, 0.463281, 0.365, 0.464062, 0.365, 0.464844, 0.365, 0.465625, 0.365, 0.466406, 0.365, 0.467187, 0.365, 0.467969, 0.365, 0.46875, 0.36375, 0.469531, 0.3625, 0.470313, 0.36125, 0.471094, 0.36, 0.471875, 0.35875, 0.471875, 0.3575, 0.472656, 0.35625, 0.472656, 0.355, 0.473438, 0.35375, 0.474219, 0.3525, 0.475, 0.35125, 0.475, 0.35, 0.475781, 0.34875, 0.475781, 0.3475, 0.475781, 0.34625, 0.476562, 0.345, 0.477344, 0.34375, 0.478125, 0.3425, 0.478906, 0.3425, 0.479687, 0.34125, 0.480469, 0.34, 0.48125, 0.33875, 0.482031, 0.3375, 0.482812, 0.3375, 0.483594, 0.33625, 0.484375, 0.335, 0.485156, 0.33375, 0.485938, 0.3325, 0.486719, 0.3325, 0.4875, 0.33125, 0.488281, 0.33125, 0.489063, 0.33, 0.489844, 0.33, 0.490625, 0.32875, 0.491406, 0.3275, 0.492188, 0.32625, 0.492969, 0.325, 0.49375, 0.32375, 0.494531, 0.3225, 0.495312, 0.3225, 0.495312, 0.32125, 0.496094, 0.32, 0.496875, 0.31875, 0.497656, 0.3175, 0.498437, 0.3175, 0.499219, 0.3175, 0.5, 0.3175, 0.500781, 0.3175, 0.501563, 0.3175, 0.502344, 0.3175, 0.503125, 0.31625, 0.503906, 0.31625, 0.504687, 0.315, 0.505469, 0.31375, 0.50625, 0.3125, 0.507031, 0.3125, 0.507812, 0.31125, 0.508594, 0.31125, 0.509375, 0.31125, 0.510156, 0.31125, 0.510938, 0.31, 0.511719, 0.30875, 0.5125, 0.3075, 0.513281, 0.30625, 0.514062, 0.30625, 0.514844, 0.30625, 0.515625, 0.305, 0.516406, 0.305, 0.517188, 0.305, 0.517969, 0.305, 0.51875, 0.305, 0.519531, 0.305, 0.520312, 0.305, 0.521094, 0.305, 0.521875, 0.305, 0.522656, 0.305, 0.523438, 0.305, 0.524219, 0.305, 0.525, 0.305, 0.525781, 0.30375, 0.526563, 0.3025, 0.526563, 0.30125, 0.526563, 0.3, 0.526563, 0.29875, 0.526563, 0.2975, 0.526563, 0.29625, 0.526563, 0.295, 0.526563, 0.29375, 0.526563, 0.2925, 0.526563, 0.29125, 0.526563, 0.29, 0.526563, 0.28875, 0.526563, 0.2875, 0.526563, 0.28625, 0.526563, 0.285, 0.526563, 0.28375, 0.526563, 0.2825, 0.526563, 0.28125, 0.526563, 0.28, 0.526563, 0.27875, 0.526563, 0.2775, 0.526563, 0.27625, 0.526563, 0.275, 0.526563, 0.27375, 0.526563, 0.2725, 0.526563, 0.27125, 0.526563, 0.27, 0.526563, 0.26875, 0.526563, 0.2675, 0.526563, 0.26625, 0.526563, 0.265, 0.526563, 0.26375, 0.525781, 0.2625, 0.525, 0.26125, 0.524219, 0.26125, 0.523438, 0.26, 0.523438, 0.25875, 0.522656, 0.2575, 0.522656, 0.25625, 0.522656, 0.255, 0.522656, 0.25375, 0.522656, 0.2525, 0.521875, 0.25125, 0.521094, 0.25, 0.520312, 0.24875, 0.519531, 0.2475, 0.51875, 0.24625, 0.517969, 0.245, 0.517188, 0.24375, 0.516406, 0.2425, 0.515625, 0.24125, 0.514844, 0.24, 0.514844, 0.23875, 0.514844, 0.2375, 0.514844, 0.23625, 0.514844, 0.235, 0.514062, 0.23375, 0.514062, 0.2325, 0.513281, 0.2325, 0.5125, 0.23125, 0.511719, 0.23, 0.510938, 0.22875, 0.510156, 0.2275, 0.510156, 0.22625, 0.509375, 0.22625, 0.508594, 0.225, 0.507812, 0.225, 0.507031, 0.225, 0.50625, 0.225, 0.505469, 0.225, 0.504687, 0.225, 0.503906, 0.22375, 0.503125, 0.2225, 0.502344, 0.22125, 0.501563, 0.22, 0.500781, 0.22, 0.5, 0.22, 0.499219, 0.21875, 0.498437, 0.21875, 0.497656, 0.21875, 0.496875, 0.21875, 0.496094, 0.21875, 0.495312, 0.21875, 0.494531, 0.21875, 0.49375, 0.21875, 0.492969, 0.21875, 0.492188, 0.21875, 0.491406, 0.21875, 0.490625, 0.21875, 0.489844, 0.21875, 0.489063, 0.21875, 0.488281, 0.21875, 0.4875, 0.21875, 0.486719, 0.21875, 0.485938, 0.21875, 0.485156, 0.21875, 0.484375, 0.21875, 0.483594, 0.21875, 0.482812, 0.21875, 0.482031, 0.21875, 0.48125, 0.21875, 0.480469, 0.21875, 0.479687, 0.21875, 0.478906, 0.21875, 0.478125, 0.21875, 0.477344, 0.21875, 0.476562, 0.21875, 0.475781, 0.21875, 0.475, 0.21875, 0.474219, 0.21875, 0.473438, 0.21875, 0.472656, 0.21875, 0.471875, 0.21875, 0.471094, 0.21875, 0.470313, 0.21875, 0.469531, 0.21875, 0.46875, 0.21875, 0.467969, 0.21875, 0.467187, 0.21875, 0.466406, 0.21875, 0.465625, 0.21875, 0.464844, 0.21875, 0.464062, 0.21875, 0.463281, 0.21875 ], [ 1, 0.68125, 0.225, 0.680469, 0.22625, 0.679688, 0.2275, 0.679688, 0.22875, 0.678906, 0.23, 0.678125, 0.23, 0.677344, 0.23125, 0.676562, 0.23125, 0.675781, 0.23125, 0.675, 0.23125, 0.674219, 0.23125, 0.673438, 0.23125, 0.672656, 0.23125, 0.671875, 0.23125, 0.671094, 0.23125, 0.670312, 0.23125, 0.669531, 0.23125, 0.66875, 0.23125, 0.667969, 0.23125, 0.667188, 0.23125, 0.666406, 0.23125, 0.665625, 0.23125, 0.664844, 0.23125, 0.664062, 0.23125, 0.663281, 0.23125, 0.6625, 0.23125, 0.661719, 0.23125, 0.660937, 0.2325, 0.660156, 0.2325, 0.659375, 0.2325, 0.658594, 0.23375, 0.657813, 0.23375, 0.657031, 0.235, 0.65625, 0.23625, 0.655469, 0.23625, 0.654687, 0.2375, 0.653906, 0.2375, 0.653125, 0.2375, 0.652344, 0.2375, 0.651563, 0.2375, 0.650781, 0.2375, 0.65, 0.2375, 0.649219, 0.23875, 0.648438, 0.23875, 0.648438, 0.24, 0.647656, 0.24125, 0.646875, 0.2425, 0.646094, 0.24375, 0.645312, 0.24375, 0.644531, 0.24375, 0.64375, 0.245, 0.642969, 0.245, 0.642188, 0.24625, 0.641406, 0.2475, 0.640625, 0.24875, 0.639844, 0.24875, 0.639062, 0.25, 0.638281, 0.25, 0.6375, 0.25125, 0.636719, 0.2525, 0.636719, 0.25375, 0.635938, 0.255, 0.635156, 0.25625, 0.634375, 0.25625, 0.633594, 0.2575, 0.632812, 0.25875, 0.632812, 0.26, 0.632812, 0.26125, 0.632812, 0.2625, 0.632812, 0.26375, 0.632812, 0.265, 0.632812, 0.26625, 0.632031, 0.2675, 0.632031, 0.26875, 0.632031, 0.27, 0.63125, 0.27125, 0.63125, 0.2725, 0.630469, 0.27375, 0.630469, 0.275, 0.630469, 0.27625, 0.630469, 0.2775, 0.630469, 0.27875, 0.630469, 0.28, 0.630469, 0.28125, 0.630469, 0.2825, 0.630469, 0.28375, 0.630469, 0.285, 0.630469, 0.28625, 0.630469, 0.2875, 0.630469, 0.28875, 0.630469, 0.29, 0.630469, 0.29125, 0.630469, 0.2925, 0.630469, 0.29375, 0.630469, 0.295, 0.630469, 0.29625, 0.630469, 0.2975, 0.630469, 0.29875, 0.630469, 0.3, 0.630469, 0.30125, 0.630469, 0.3025, 0.630469, 0.30375, 0.630469, 0.305, 0.630469, 0.30625, 0.630469, 0.3075, 0.630469, 0.30875, 0.630469, 0.31, 0.63125, 0.31125, 0.63125, 0.3125, 0.632031, 0.31375, 0.632812, 0.315, 0.632812, 0.31625, 0.632812, 0.3175, 0.632812, 0.31875, 0.632812, 0.32, 0.632812, 0.32125, 0.632812, 0.3225, 0.633594, 0.32375, 0.633594, 0.325, 0.633594, 0.32625, 0.634375, 0.3275, 0.635156, 0.32875, 0.635938, 0.33, 0.635938, 0.33125, 0.636719, 0.3325, 0.636719, 0.33375, 0.636719, 0.335, 0.6375, 0.33625, 0.638281, 0.3375, 0.639062, 0.3375, 0.639844, 0.33875, 0.639844, 0.34, 0.640625, 0.34125, 0.641406, 0.3425, 0.642188, 0.34375, 0.642969, 0.345, 0.64375, 0.34625, 0.644531, 0.3475, 0.645312, 0.34875, 0.646094, 0.34875, 0.646875, 0.35, 0.647656, 0.35125, 0.648438, 0.3525, 0.649219, 0.35375, 0.65, 0.355, 0.650781, 0.35625, 0.651563, 0.3575, 0.652344, 0.35875, 0.653125, 0.36, 0.653906, 0.36125, 0.654687, 0.3625, 0.655469, 0.3625, 0.65625, 0.36375, 0.65625, 0.365, 0.657031, 0.365, 0.657813, 0.365, 0.658594, 0.365, 0.659375, 0.365, 0.660156, 0.365, 0.660937, 0.365, 0.661719, 0.365, 0.6625, 0.365, 0.663281, 0.365, 0.664062, 0.36375, 0.664844, 0.3625, 0.665625, 0.36125, 0.666406, 0.36125, 0.667188, 0.36125, 0.667969, 0.36125, 0.66875, 0.36125, 0.669531, 0.36125, 0.670312, 0.36, 0.671094, 0.35875, 0.671875, 0.3575, 0.672656, 0.35625, 0.673438, 0.355, 0.674219, 0.355, 0.675, 0.355, 0.675781, 0.355, 0.676562, 0.355, 0.677344, 0.355, 0.678125, 0.35375, 0.678906, 0.3525, 0.679688, 0.35125, 0.680469, 0.35, 0.68125, 0.34875, 0.682031, 0.34875, 0.682813, 0.34875, 0.683594, 0.34875, 0.684375, 0.34875, 0.685156, 0.34875, 0.685937, 0.34875, 0.686719, 0.3475, 0.6875, 0.3475, 0.688281, 0.34625, 0.689063, 0.345, 0.689844, 0.34375, 0.690625, 0.34375, 0.691406, 0.3425, 0.692187, 0.3425, 0.692969, 0.3425, 0.69375, 0.3425, 0.694531, 0.3425, 0.695312, 0.3425, 0.696094, 0.3425, 0.696875, 0.3425, 0.697656, 0.3425, 0.698438, 0.3425, 0.699219, 0.3425, 0.7, 0.3425, 0.700781, 0.3425, 0.701562, 0.3425, 0.702344, 0.3425, 0.703125, 0.3425, 0.703906, 0.3425, 0.704688, 0.3425, 0.705469, 0.3425, 0.70625, 0.3425, 0.707031, 0.3425, 0.707812, 0.3425, 0.708594, 0.3425, 0.709375, 0.3425, 0.710156, 0.3425, 0.710938, 0.3425, 0.711719, 0.3425, 0.7125, 0.3425, 0.713281, 0.3425, 0.714063, 0.3425, 0.714844, 0.34125, 0.715625, 0.34125, 0.716406, 0.34, 0.717187, 0.33875, 0.717969, 0.3375, 0.71875, 0.3375, 0.719531, 0.33625, 0.720313, 0.33625, 0.721094, 0.335, 0.721875, 0.33375, 0.721875, 0.3325, 0.721875, 0.33125, 0.721875, 0.33, 0.721875, 0.32875, 0.721875, 0.3275, 0.721875, 0.32625, 0.721875, 0.325, 0.721875, 0.32375, 0.721875, 0.3225, 0.721875, 0.32125, 0.722656, 0.32, 0.722656, 0.31875, 0.723437, 0.3175, 0.724219, 0.31625, 0.725, 0.315, 0.725781, 0.31375, 0.725781, 0.3125, 0.726562, 0.31125, 0.727344, 0.31, 0.728125, 0.30875, 0.728906, 0.3075, 0.729688, 0.30625, 0.730469, 0.305, 0.73125, 0.30375, 0.732031, 0.30375, 0.732812, 0.3025, 0.733594, 0.30125, 0.734375, 0.3, 0.735156, 0.29875, 0.735938, 0.29875, 0.736719, 0.2975, 0.7375, 0.29625, 0.7375, 0.295, 0.738281, 0.29375, 0.739062, 0.29375, 0.739844, 0.2925, 0.740625, 0.2925, 0.741406, 0.2925, 0.742188, 0.2925, 0.742969, 0.2925, 0.74375, 0.29125, 0.744531, 0.29125, 0.745313, 0.29, 0.745313, 0.28875, 0.746094, 0.2875, 0.746875, 0.28625, 0.747656, 0.28625, 0.748437, 0.285, 0.749219, 0.28375, 0.749219, 0.2825, 0.749219, 0.28125, 0.749219, 0.28, 0.749219, 0.27875, 0.749219, 0.2775, 0.749219, 0.27625, 0.749219, 0.275, 0.749219, 0.27375, 0.749219, 0.2725, 0.749219, 0.27125, 0.749219, 0.27, 0.749219, 0.26875, 0.749219, 0.2675, 0.749219, 0.26625, 0.749219, 0.265, 0.749219, 0.26375, 0.749219, 0.2625, 0.749219, 0.26125, 0.749219, 0.26, 0.749219, 0.25875, 0.748437, 0.2575, 0.747656, 0.25625, 0.746875, 0.255, 0.746094, 0.25375, 0.745313, 0.2525, 0.744531, 0.25125, 0.74375, 0.25, 0.742969, 0.24875, 0.742188, 0.24875, 0.741406, 0.2475, 0.741406, 0.24625, 0.740625, 0.245, 0.739844, 0.24375, 0.739062, 0.24375, 0.738281, 0.2425, 0.738281, 0.24125, 0.7375, 0.24, 0.736719, 0.23875, 0.735938, 0.2375, 0.735156, 0.2375, 0.734375, 0.23625, 0.733594, 0.235, 0.732812, 0.23375, 0.732031, 0.2325, 0.73125, 0.2325, 0.730469, 0.23125, 0.729688, 0.23125, 0.728906, 0.23125, 0.728125, 0.23125, 0.727344, 0.23125, 0.726562, 0.23125, 0.725781, 0.23125, 0.725, 0.23125, 0.724219, 0.23125, 0.723437, 0.23125, 0.722656, 0.23, 0.721875, 0.23, 0.721094, 0.23, 0.720313, 0.22875, 0.719531, 0.2275, 0.71875, 0.22625, 0.717969, 0.22625, 0.717187, 0.225, 0.716406, 0.225, 0.715625, 0.225, 0.714844, 0.225, 0.714063, 0.225, 0.713281, 0.225, 0.7125, 0.225, 0.711719, 0.225, 0.710938, 0.225, 0.710156, 0.225, 0.709375, 0.225, 0.708594, 0.225, 0.707812, 0.225, 0.707031, 0.225, 0.70625, 0.225, 0.705469, 0.225, 0.704688, 0.225, 0.703906, 0.225, 0.703125, 0.225, 0.702344, 0.225, 0.701562, 0.225, 0.700781, 0.225, 0.7, 0.225, 0.699219, 0.225, 0.698438, 0.225, 0.697656, 0.225, 0.696875, 0.225, 0.696094, 0.225, 0.695312, 0.225, 0.694531, 0.225, 0.69375, 0.225, 0.692969, 0.225, 0.692187, 0.225, 0.691406, 0.225, 0.690625, 0.225, 0.689844, 0.225, 0.689063, 0.225, 0.688281, 0.225, 0.6875, 0.225, 0.686719, 0.225, 0.685937, 0.225, 0.685156, 0.225, 0.684375, 0.225, 0.683594, 0.225, 0.682813, 0.225, 0.682031, 0.225 ], [ 2, 0.538141, 0.78125, 0.547133, 0.777325, 0.557344, 0.763587, 0.56593, 0.75705, 0.574516, 0.743325, 0.577781, 0.734163, 0.576961, 0.758363, 0.585953, 0.763587, 0.59168, 0.771437, 0.599852, 0.777975, 0.60843, 0.779938, 0.616609, 0.7819, 0.606391, 0.797588, 0.588812, 0.817213, 0.576961, 0.818512, 0.560211, 0.8159, 0.549172, 0.804137, 0.542227, 0.793013 ], [ 2, 0.349219, 0.59, 0.348438, 0.59125, 0.347656, 0.5925, 0.346875, 0.5925, 0.346094, 0.59375, 0.345313, 0.59375, 0.344531, 0.595, 0.34375, 0.59625, 0.342969, 0.5975, 0.342187, 0.59875, 0.341406, 0.6, 0.340625, 0.60125, 0.339844, 0.6025, 0.339062, 0.60375, 0.339062, 0.605, 0.338281, 0.60625, 0.3375, 0.60625, 0.336719, 0.6075, 0.335938, 0.60875, 0.335938, 0.61, 0.335938, 0.61125, 0.335938, 0.6125, 0.335938, 0.61375, 0.335938, 0.615, 0.335156, 0.61625, 0.334375, 0.6175, 0.333594, 0.61875, 0.333594, 0.62, 0.333594, 0.62125, 0.333594, 0.6225, 0.333594, 0.62375, 0.333594, 0.625, 0.333594, 0.62625, 0.333594, 0.6275, 0.333594, 0.62875, 0.333594, 0.63, 0.333594, 0.63125, 0.333594, 0.6325, 0.333594, 0.63375, 0.333594, 0.635, 0.333594, 0.63625, 0.333594, 0.6375, 0.333594, 0.63875, 0.333594, 0.64, 0.333594, 0.64125, 0.333594, 0.6425, 0.333594, 0.64375, 0.333594, 0.645, 0.333594, 0.64625, 0.333594, 0.6475, 0.333594, 0.64875, 0.333594, 0.65, 0.333594, 0.65125, 0.333594, 0.6525, 0.334375, 0.65375, 0.334375, 0.655, 0.334375, 0.65625, 0.335156, 0.6575, 0.335156, 0.65875, 0.335156, 0.66, 0.335156, 0.66125, 0.335156, 0.6625, 0.335156, 0.66375, 0.335156, 0.665, 0.335156, 0.66625, 0.335156, 0.6675, 0.335156, 0.66875, 0.335156, 0.67, 0.335156, 0.67125, 0.335156, 0.6725, 0.334375, 0.67375, 0.334375, 0.675, 0.333594, 0.67625, 0.333594, 0.6775, 0.333594, 0.67875, 0.333594, 0.68, 0.333594, 0.68125, 0.333594, 0.6825, 0.333594, 0.68375, 0.333594, 0.685, 0.334375, 0.68625, 0.335156, 0.6875, 0.335156, 0.68875, 0.335938, 0.69, 0.335938, 0.69125, 0.335938, 0.6925, 0.336719, 0.69375, 0.336719, 0.695, 0.3375, 0.69625, 0.338281, 0.6975, 0.339062, 0.69875, 0.339062, 0.7, 0.339844, 0.70125, 0.339844, 0.7025, 0.340625, 0.70375, 0.340625, 0.705, 0.341406, 0.705, 0.342187, 0.70625, 0.342969, 0.7075, 0.342969, 0.70875, 0.34375, 0.71, 0.344531, 0.71125, 0.345313, 0.71125, 0.346094, 0.7125, 0.346875, 0.71375, 0.347656, 0.715, 0.347656, 0.71625, 0.348438, 0.71625, 0.349219, 0.7175, 0.35, 0.71875, 0.350781, 0.72, 0.351562, 0.72125, 0.352344, 0.7225, 0.353125, 0.72375, 0.353906, 0.72375, 0.354687, 0.725, 0.355469, 0.725, 0.35625, 0.72625, 0.357031, 0.7275, 0.357812, 0.72875, 0.358594, 0.72875, 0.359375, 0.73, 0.360156, 0.73, 0.360938, 0.73, 0.361719, 0.73125, 0.3625, 0.7325, 0.363281, 0.73375, 0.364063, 0.735, 0.364844, 0.73625, 0.365625, 0.73625, 0.366406, 0.73625, 0.367188, 0.7375, 0.367969, 0.7375, 0.36875, 0.73875, 0.369531, 0.74, 0.370312, 0.74125, 0.371094, 0.74125, 0.371875, 0.7425, 0.372656, 0.7425, 0.373437, 0.74375, 0.374219, 0.74375, 0.375, 0.745, 0.375781, 0.74625, 0.376563, 0.7475, 0.377344, 0.7475, 0.378125, 0.74875, 0.378906, 0.74875, 0.379688, 0.75, 0.380469, 0.75, 0.38125, 0.75125, 0.382031, 0.7525, 0.382812, 0.7525, 0.383594, 0.75375, 0.384375, 0.75375, 0.385156, 0.75375, 0.385937, 0.755, 0.386719, 0.755, 0.3875, 0.755, 0.388281, 0.755, 0.389062, 0.755, 0.389844, 0.75625, 0.390625, 0.7575, 0.391406, 0.75875, 0.392188, 0.75875, 0.392969, 0.76, 0.39375, 0.76, 0.394531, 0.76, 0.395313, 0.76, 0.396094, 0.76, 0.396875, 0.76, 0.397656, 0.76, 0.398438, 0.76, 0.399219, 0.76, 0.4, 0.76, 0.400781, 0.76, 0.401562, 0.76, 0.402344, 0.76, 0.403125, 0.76, 0.403906, 0.76, 0.404687, 0.76, 0.405469, 0.76, 0.40625, 0.76, 0.407031, 0.76, 0.407813, 0.76, 0.408594, 0.76, 0.409375, 0.76, 0.410156, 0.76, 0.410938, 0.76, 0.411719, 0.76, 0.4125, 0.76, 0.413281, 0.75875, 0.414062, 0.75875, 0.414844, 0.7575, 0.415625, 0.75625, 0.416406, 0.755, 0.417187, 0.75375, 0.417969, 0.7525, 0.41875, 0.75125, 0.419531, 0.75125, 0.420312, 0.75, 0.421094, 0.75, 0.421875, 0.75, 0.422656, 0.75, 0.423438, 0.75, 0.424219, 0.75, 0.425, 0.75, 0.425781, 0.75, 0.426563, 0.74875, 0.427344, 0.74875, 0.428125, 0.74875, 0.428906, 0.7475, 0.429688, 0.74625, 0.430469, 0.745, 0.43125, 0.74375, 0.432031, 0.74375, 0.432812, 0.7425, 0.433594, 0.74125, 0.434375, 0.74, 0.435156, 0.73875, 0.435937, 0.7375, 0.435937, 0.73625, 0.436719, 0.735, 0.436719, 0.73375, 0.436719, 0.7325, 0.4375, 0.73125, 0.438281, 0.73, 0.439063, 0.72875, 0.439844, 0.7275, 0.439844, 0.72625, 0.439844, 0.725, 0.440625, 0.72375, 0.440625, 0.7225, 0.440625, 0.72125, 0.440625, 0.72, 0.440625, 0.71875, 0.441406, 0.7175, 0.441406, 0.71625, 0.441406, 0.715, 0.442188, 0.71375, 0.442969, 0.7125, 0.44375, 0.71125, 0.444531, 0.71, 0.444531, 0.70875, 0.444531, 0.7075, 0.444531, 0.70625, 0.444531, 0.705, 0.444531, 0.70375, 0.444531, 0.7025, 0.444531, 0.70125, 0.445312, 0.7, 0.446094, 0.69875, 0.446875, 0.6975, 0.447656, 0.69625, 0.447656, 0.695, 0.448437, 0.69375, 0.448437, 0.6925, 0.448437, 0.69125, 0.448437, 0.69, 0.449219, 0.68875, 0.449219, 0.6875, 0.45, 0.68625, 0.450781, 0.68625, 0.451562, 0.685, 0.451562, 0.68375, 0.451562, 0.6825, 0.451562, 0.68125, 0.451562, 0.68, 0.451562, 0.67875, 0.451562, 0.6775, 0.451562, 0.67625, 0.451562, 0.675, 0.451562, 0.67375, 0.451562, 0.6725, 0.451562, 0.67125, 0.451562, 0.67, 0.450781, 0.66875, 0.45, 0.6675, 0.449219, 0.66625, 0.448437, 0.665, 0.448437, 0.66375, 0.447656, 0.6625, 0.446875, 0.6625, 0.446094, 0.66125, 0.445312, 0.66, 0.444531, 0.65875, 0.444531, 0.6575, 0.44375, 0.6575, 0.442969, 0.65625, 0.442188, 0.655, 0.441406, 0.65375, 0.440625, 0.6525, 0.439844, 0.65125, 0.439063, 0.65, 0.438281, 0.65, 0.4375, 0.65, 0.436719, 0.65, 0.435937, 0.65, 0.435156, 0.64875, 0.434375, 0.64875, 0.433594, 0.6475, 0.433594, 0.64625, 0.432812, 0.645, 0.432031, 0.64375, 0.43125, 0.64375, 0.430469, 0.6425, 0.429688, 0.64125, 0.428906, 0.64, 0.428125, 0.63875, 0.427344, 0.6375, 0.426563, 0.63625, 0.425781, 0.63625, 0.425, 0.635, 0.425, 0.63375, 0.424219, 0.6325, 0.423438, 0.63125, 0.422656, 0.63125, 0.421875, 0.63125, 0.421094, 0.63125, 0.420312, 0.63, 0.419531, 0.63, 0.41875, 0.62875, 0.417969, 0.6275, 0.417187, 0.62625, 0.416406, 0.625, 0.415625, 0.62375, 0.414844, 0.62375, 0.414062, 0.6225, 0.413281, 0.62125, 0.413281, 0.62, 0.4125, 0.61875, 0.4125, 0.6175, 0.411719, 0.61625, 0.410938, 0.615, 0.410938, 0.61375, 0.410156, 0.6125, 0.410156, 0.61125, 0.410156, 0.61, 0.410156, 0.60875, 0.409375, 0.6075, 0.409375, 0.60625, 0.409375, 0.605, 0.409375, 0.60375, 0.409375, 0.6025, 0.409375, 0.60125, 0.409375, 0.6, 0.408594, 0.59875, 0.408594, 0.5975, 0.408594, 0.59625, 0.407813, 0.595, 0.407031, 0.59375, 0.40625, 0.5925, 0.405469, 0.59125, 0.405469, 0.59, 0.404687, 0.59, 0.403906, 0.59, 0.403125, 0.59, 0.402344, 0.59, 0.401562, 0.59, 0.400781, 0.59, 0.4, 0.59, 0.399219, 0.59, 0.398438, 0.59, 0.397656, 0.59, 0.396875, 0.59, 0.396094, 0.59, 0.395313, 0.59, 0.394531, 0.59, 0.39375, 0.59, 0.392969, 0.59, 0.392188, 0.59, 0.391406, 0.59, 0.390625, 0.59, 0.389844, 0.59, 0.389062, 0.59, 0.388281, 0.59, 0.3875, 0.59, 0.386719, 0.59125, 0.385937, 0.5925, 0.385156, 0.59375, 0.384375, 0.59375, 0.383594, 0.59375, 0.382812, 0.59375, 0.382031, 0.59375, 0.38125, 0.59375, 0.380469, 0.59375, 0.379688, 0.59375, 0.378906, 0.59375, 0.378125, 0.59375, 0.377344, 0.59375, 0.376563, 0.59375, 0.375781, 0.59375, 0.375, 0.59375, 0.374219, 0.59375, 0.373437, 0.59375, 0.372656, 0.59375, 0.371875, 0.59375, 0.371094, 0.59375, 0.370312, 0.59375, 0.369531, 0.59375, 0.36875, 0.59375, 0.367969, 0.59375, 0.367188, 0.59375, 0.366406, 0.5925, 0.365625, 0.5925, 0.364844, 0.5925, 0.364063, 0.59125, 0.363281, 0.59, 0.3625, 0.59, 0.361719, 0.59, 0.360938, 0.59, 0.360156, 0.59, 0.359375, 0.59, 0.358594, 0.59, 0.357812, 0.59, 0.357031, 0.59, 0.35625, 0.59, 0.355469, 0.59, 0.354687, 0.59, 0.353906, 0.59, 0.353125, 0.59, 0.352344, 0.59, 0.351562, 0.59, 0.350781, 0.59, 0.35, 0.59 ], [ 1, 0.599219, 0.33625, 0.598437, 0.3375, 0.597656, 0.3375, 0.596875, 0.3375, 0.596094, 0.3375, 0.595313, 0.3375, 0.594531, 0.33875, 0.59375, 0.34, 0.59375, 0.34125, 0.592969, 0.3425, 0.592187, 0.3425, 0.591406, 0.34375, 0.590625, 0.34375, 0.589844, 0.34375, 0.589063, 0.34375, 0.588281, 0.34375, 0.5875, 0.345, 0.586719, 0.345, 0.585938, 0.34625, 0.585938, 0.3475, 0.585156, 0.34875, 0.584375, 0.34875, 0.583594, 0.35, 0.582812, 0.35, 0.582031, 0.35125, 0.58125, 0.3525, 0.580469, 0.35375, 0.579688, 0.355, 0.578906, 0.35625, 0.578906, 0.3575, 0.578125, 0.35875, 0.578125, 0.36, 0.578125, 0.36125, 0.578125, 0.3625, 0.577344, 0.36375, 0.577344, 0.365, 0.576562, 0.36625, 0.576562, 0.3675, 0.575781, 0.36875, 0.575781, 0.37, 0.575, 0.37125, 0.575, 0.3725, 0.575781, 0.37375, 0.575781, 0.375, 0.575781, 0.37625, 0.575781, 0.3775, 0.575781, 0.37875, 0.575781, 0.38, 0.575781, 0.38125, 0.575781, 0.3825, 0.575781, 0.38375, 0.575781, 0.385, 0.576562, 0.38625, 0.576562, 0.3875, 0.576562, 0.38875, 0.576562, 0.39, 0.576562, 0.39125, 0.576562, 0.3925, 0.575781, 0.39375, 0.575781, 0.395, 0.575781, 0.39625, 0.575, 0.3975, 0.575, 0.39875, 0.575, 0.4, 0.575, 0.40125, 0.575, 0.4025, 0.574219, 0.40375, 0.574219, 0.405, 0.574219, 0.40625, 0.574219, 0.4075, 0.574219, 0.40875, 0.574219, 0.41, 0.574219, 0.41125, 0.574219, 0.4125, 0.574219, 0.41375, 0.574219, 0.415, 0.573438, 0.41625, 0.572656, 0.4175, 0.571875, 0.41875, 0.571094, 0.41875, 0.570312, 0.41875, 0.569531, 0.41875, 0.56875, 0.41875, 0.567969, 0.42, 0.567969, 0.42125, 0.567969, 0.4225, 0.567969, 0.42375, 0.567969, 0.425, 0.567969, 0.42625, 0.567969, 0.4275, 0.567969, 0.42875, 0.567969, 0.43, 0.567969, 0.43125, 0.567969, 0.4325, 0.567969, 0.43375, 0.567969, 0.435, 0.567969, 0.43625, 0.567969, 0.4375, 0.567969, 0.43875, 0.567969, 0.44, 0.567969, 0.44125, 0.567969, 0.4425, 0.567969, 0.44375, 0.56875, 0.445, 0.569531, 0.44625, 0.570312, 0.4475, 0.571094, 0.44875, 0.571875, 0.44875, 0.572656, 0.45, 0.573438, 0.45125, 0.573438, 0.4525, 0.574219, 0.45375, 0.574219, 0.455, 0.574219, 0.45625, 0.574219, 0.4575, 0.574219, 0.45875, 0.574219, 0.46, 0.574219, 0.46125, 0.574219, 0.4625, 0.574219, 0.46375, 0.574219, 0.465, 0.575, 0.46625, 0.575781, 0.4675, 0.576562, 0.46875, 0.577344, 0.47, 0.578125, 0.47125, 0.578125, 0.4725, 0.578125, 0.47375, 0.578125, 0.475, 0.578906, 0.47625, 0.578906, 0.4775, 0.579688, 0.47875, 0.580469, 0.48, 0.58125, 0.48125, 0.582031, 0.4825, 0.582031, 0.48375, 0.582031, 0.485, 0.582031, 0.48625, 0.582812, 0.4875, 0.582812, 0.48875, 0.583594, 0.49, 0.584375, 0.49125, 0.584375, 0.4925, 0.585156, 0.49375, 0.585156, 0.495, 0.585938, 0.49625, 0.585938, 0.4975, 0.585938, 0.49875, 0.585938, 0.5, 0.586719, 0.50125, 0.586719, 0.5025, 0.5875, 0.50375, 0.588281, 0.50375, 0.589063, 0.505, 0.589844, 0.505, 0.590625, 0.505, 0.591406, 0.505, 0.592187, 0.50625, 0.592969, 0.5075, 0.59375, 0.50875, 0.59375, 0.51, 0.594531, 0.51, 0.595313, 0.51125, 0.596094, 0.5125, 0.596875, 0.5125, 0.597656, 0.51375, 0.597656, 0.515, 0.598437, 0.51625, 0.599219, 0.5175, 0.6, 0.5175, 0.600781, 0.51875, 0.601562, 0.51875, 0.602344, 0.52, 0.603125, 0.52125, 0.603906, 0.5225, 0.604688, 0.5225, 0.605469, 0.5225, 0.60625, 0.52375, 0.607031, 0.52375, 0.607812, 0.52375, 0.608594, 0.525, 0.609375, 0.52625, 0.610156, 0.5275, 0.610938, 0.52875, 0.611719, 0.52875, 0.6125, 0.53, 0.613281, 0.53, 0.614062, 0.53, 0.614844, 0.53, 0.615625, 0.53, 0.616406, 0.53, 0.617188, 0.53, 0.617969, 0.53, 0.61875, 0.53, 0.619531, 0.53, 0.620313, 0.53, 0.621094, 0.53, 0.621875, 0.53, 0.622656, 0.53, 0.623437, 0.52875, 0.624219, 0.5275, 0.625, 0.52625, 0.625781, 0.525, 0.626563, 0.525, 0.627344, 0.52375, 0.628125, 0.52375, 0.628906, 0.52375, 0.629687, 0.52375, 0.630469, 0.52375, 0.63125, 0.52375, 0.632031, 0.52375, 0.632812, 0.5225, 0.633594, 0.5225, 0.634375, 0.5225, 0.635156, 0.52125, 0.635938, 0.52, 0.636719, 0.52, 0.6375, 0.51875, 0.638281, 0.51875, 0.639062, 0.51875, 0.639844, 0.5175, 0.640625, 0.5175, 0.641406, 0.5175, 0.642188, 0.5175, 0.642969, 0.51625, 0.64375, 0.51625, 0.644531, 0.51625, 0.645312, 0.515, 0.646094, 0.51375, 0.646875, 0.5125, 0.647656, 0.5125, 0.648438, 0.51125, 0.649219, 0.51125, 0.65, 0.51125, 0.650781, 0.51, 0.651563, 0.50875, 0.652344, 0.5075, 0.653125, 0.50625, 0.653906, 0.505, 0.654687, 0.50375, 0.655469, 0.50375, 0.65625, 0.5025, 0.657031, 0.50125, 0.657813, 0.5, 0.658594, 0.49875, 0.659375, 0.4975, 0.659375, 0.49625, 0.659375, 0.495, 0.660156, 0.49375, 0.660937, 0.4925, 0.661719, 0.49125, 0.6625, 0.49, 0.6625, 0.48875, 0.6625, 0.4875, 0.663281, 0.48625, 0.663281, 0.485, 0.663281, 0.48375, 0.663281, 0.4825, 0.663281, 0.48125, 0.663281, 0.48, 0.663281, 0.47875, 0.663281, 0.4775, 0.663281, 0.47625, 0.663281, 0.475, 0.663281, 0.47375, 0.663281, 0.4725, 0.663281, 0.47125, 0.664062, 0.47, 0.664062, 0.46875, 0.664844, 0.4675, 0.664844, 0.46625, 0.664844, 0.465, 0.664844, 0.46375, 0.664844, 0.4625, 0.664844, 0.46125, 0.664844, 0.46, 0.664844, 0.45875, 0.664844, 0.4575, 0.664062, 0.45625, 0.664062, 0.455, 0.664062, 0.45375, 0.664062, 0.4525, 0.664062, 0.45125, 0.664062, 0.45, 0.663281, 0.44875, 0.663281, 0.4475, 0.663281, 0.44625, 0.663281, 0.445, 0.663281, 0.44375, 0.663281, 0.4425, 0.663281, 0.44125, 0.6625, 0.44, 0.6625, 0.43875, 0.661719, 0.4375, 0.660937, 0.43625, 0.660937, 0.435, 0.660156, 0.43375, 0.660156, 0.4325, 0.659375, 0.43125, 0.659375, 0.43, 0.659375, 0.42875, 0.659375, 0.4275, 0.659375, 0.42625, 0.659375, 0.425, 0.658594, 0.42375, 0.658594, 0.4225, 0.658594, 0.42125, 0.658594, 0.42, 0.658594, 0.41875, 0.658594, 0.4175, 0.658594, 0.41625, 0.657813, 0.415, 0.657813, 0.41375, 0.657031, 0.4125, 0.657031, 0.41125, 0.65625, 0.41, 0.65625, 0.40875, 0.65625, 0.4075, 0.65625, 0.40625, 0.65625, 0.405, 0.65625, 0.40375, 0.65625, 0.4025, 0.65625, 0.40125, 0.65625, 0.4, 0.65625, 0.39875, 0.65625, 0.3975, 0.65625, 0.39625, 0.65625, 0.395, 0.65625, 0.39375, 0.65625, 0.3925, 0.65625, 0.39125, 0.65625, 0.39, 0.65625, 0.38875, 0.65625, 0.3875, 0.65625, 0.38625, 0.65625, 0.385, 0.65625, 0.38375, 0.65625, 0.3825, 0.65625, 0.38125, 0.65625, 0.38, 0.655469, 0.37875, 0.655469, 0.3775, 0.655469, 0.37625, 0.655469, 0.375, 0.655469, 0.37375, 0.655469, 0.3725, 0.655469, 0.37125, 0.654687, 0.37, 0.654687, 0.36875, 0.653906, 0.36875, 0.653125, 0.3675, 0.652344, 0.36625, 0.652344, 0.365, 0.651563, 0.36375, 0.650781, 0.3625, 0.65, 0.3625, 0.649219, 0.36125, 0.648438, 0.36, 0.647656, 0.35875, 0.646875, 0.3575, 0.646094, 0.35625, 0.645312, 0.35625, 0.644531, 0.355, 0.64375, 0.35375, 0.642969, 0.3525, 0.642969, 0.35125, 0.642188, 0.35125, 0.641406, 0.35, 0.640625, 0.35, 0.639844, 0.35, 0.639062, 0.35, 0.638281, 0.35, 0.6375, 0.34875, 0.636719, 0.3475, 0.635938, 0.34625, 0.635938, 0.345, 0.635156, 0.345, 0.634375, 0.34375, 0.633594, 0.34375, 0.632812, 0.3425, 0.632031, 0.3425, 0.63125, 0.34125, 0.630469, 0.34, 0.629687, 0.33875, 0.628906, 0.33875, 0.628125, 0.33875, 0.627344, 0.33875, 0.626563, 0.3375, 0.625781, 0.3375, 0.625, 0.3375, 0.624219, 0.3375, 0.623437, 0.3375, 0.622656, 0.3375, 0.621875, 0.3375, 0.621094, 0.3375, 0.620313, 0.3375, 0.619531, 0.3375, 0.61875, 0.3375, 0.617969, 0.3375, 0.617188, 0.3375, 0.616406, 0.3375, 0.615625, 0.3375, 0.614844, 0.3375, 0.614062, 0.33625, 0.613281, 0.33625, 0.6125, 0.33625, 0.611719, 0.33625, 0.610938, 0.33625, 0.610156, 0.33625, 0.609375, 0.33625, 0.608594, 0.33625, 0.607812, 0.33625, 0.607031, 0.33625, 0.60625, 0.33625, 0.605469, 0.33625, 0.604688, 0.33625, 0.603906, 0.33625, 0.603125, 0.33625, 0.602344, 0.33625, 0.601562, 0.33625, 0.600781, 0.33625, 0.6, 0.33625 ] ]
img001
[[2.0,0.519531,0.7475,0.507812,0.7625,0.507031,0.7675,0.500781,0.77875,0.496094,0.8175,0.497656,0.83(...TRUNCATED)
img002
[[2.0,0.223438,0.4475,0.223438,0.46125,0.228125,0.48875,0.236719,0.50375,0.250781,0.53625,0.267969,0(...TRUNCATED)
img003
[[2.0,0.671094,0.53875,0.671094,0.54,0.670312,0.54125,0.669531,0.5425,0.66875,0.5425,0.667969,0.5425(...TRUNCATED)
img004
[[1.0,0.19375,0.2425,0.18125,0.25875,0.170313,0.29125,0.172656,0.30875,0.184375,0.3425,0.19375,0.358(...TRUNCATED)
img005
[[5.0,0.69375,0.205,0.66875,0.1975,0.658594,0.1975,0.634375,0.205,0.625781,0.21125,0.620313,0.21875,(...TRUNCATED)
img006
[[2.0,0.707812,0.13375,0.707031,0.135,0.70625,0.13625,0.705469,0.1375,0.704688,0.1375,0.703906,0.137(...TRUNCATED)
img007
[[2.0,0.266406,0.59875,0.265625,0.6,0.264844,0.6,0.264062,0.6,0.263281,0.60125,0.2625,0.6025,0.26171(...TRUNCATED)
img008
[[1.0,0.530469,0.16625,0.529687,0.1675,0.528906,0.1675,0.528125,0.16875,0.527344,0.16875,0.526563,0.(...TRUNCATED)
img009
[[1.0,0.728125,0.445,0.727344,0.44625,0.726562,0.4475,0.725781,0.44875,0.725,0.45,0.724219,0.45,0.72(...TRUNCATED)
img010
End of preview. Expand in Data Studio

πŸ“ The RaspGrade Dataset: Towards Automatic Raspberry Ripeness Grading with Deep Learning

This research investigates the application of computer vision for rapid, accurate, and non-invasive food quality assessment, focusing on the novel challenge of real-time raspberry grading into five distinct classes within an industrial environment as the fruits move along a conveyor belt. To address this, a dedicated dataset of raspberries, namely RaspGrade, was acquired and meticulously annotated.

Instance segmentation experiments revealed that accurate fruit-level masks can be obtained; however, the classification of certain raspberry grades presents challenges due to color similarities and occlusion, while others are more readily distinguishable based on color.

πŸ€— Paper on Hugging Face | πŸ“ Paper on ArXiv

πŸ—‚οΈ Data Instances

Raspberry Example 1 Raspberry Example 2

🏷️ Annotation Format

Note that the annotations follow the YOLO instance segmentation format.

Please refer to this page for more info.

πŸ§ͺ How to use

from datasets import load_dataset
from PIL import Image, ImageDraw
import numpy as np
import random

# --- Configuration ---
DATASET_NAME = "FBK-TeV/RaspGrade"
SAMPLE_INDEX = 0  # Index of the sample to visualize from the 'valid' split
OUTPUT_IMAGE = 'annotated_hub_image_fixed_colors.png'
ALPHA = 128  # Transparency level for masks

# Define a color map for different classes
CLASS_COLORS = {
    0: (255, 0, 0, ALPHA),    # Red
    1: (0, 255, 0, ALPHA),    # Green
    2: (0, 0, 255, ALPHA),    # Blue
    3: (255, 255, 0, ALPHA),  # Yellow
    4: (255, 0, 255, ALPHA)   # Magenta
    # Add more colors for other class IDs if needed
}

def convert_normalized_polygon_to_pixels(polygon_normalized, width, height):
    polygon_pixels = (np.array(polygon_normalized).reshape(-1, 2) * np.array([width, height])).astype(int).flatten().tolist()
    return polygon_pixels

if __name__ == "__main__":
    try:
        dataset = load_dataset(DATASET_NAME)
        if 'valid' not in dataset:
            raise ValueError(f"Split 'valid' not found in dataset '{DATASET_NAME}'")
        valid_dataset = dataset['valid']
        if SAMPLE_INDEX >= len(valid_dataset):
            raise ValueError(f"Sample index {SAMPLE_INDEX} is out of bounds for the 'valid' split (size: {len(valid_dataset)})")

        sample = valid_dataset[SAMPLE_INDEX]
        original_image = sample['image'].convert("RGBA")
        width, height = original_image.size

        mask = Image.new('RGBA', (width, height), (0, 0, 0, 0))
        mask_draw = ImageDraw.Draw(mask, 'RGBA')

        labels = sample['labels']
        if isinstance(labels, list):
            for annotation in labels:
                if len(annotation) > 4:  # Assuming YOLO format includes class and polygon
                    class_id = int(annotation[0])
                    polygon_normalized = np.array(annotation[1:]).astype(float).reshape(-1, 2).flatten().tolist()
                    polygon_pixels = convert_normalized_polygon_to_pixels(polygon_normalized, width, height)
                    color = CLASS_COLORS.get(class_id, (255, 255, 255, ALPHA)) # Default to white if class_id not in map
                    mask_draw.polygon(polygon_pixels, fill=color)

        annotated_image = Image.alpha_composite(original_image, mask)

        annotated_image.save(OUTPUT_IMAGE)
        print(f"Annotated image with fixed colors saved as {OUTPUT_IMAGE}")
        annotated_image.show()

    except Exception as e:
        print(f"An error occurred: {e}")

πŸ™ Acknowledgement

AGILEHAND logo

This work is supported by European Union’s Horizon Europe research and innovation programme under grant agreement No 101092043, project AGILEHAND (Smart Grading, Handling and Packaging Solutions for Soft and Deformable Products in Agile and Reconfigurable Lines.

🀝 Partners

FBK logo Santorsola logo

πŸ“– Citation

@article{mekhalfi2025raspgrade,
  title={The RaspGrade Dataset: Towards Automatic Raspberry Ripeness Grading with Deep Learning},
  author={Mekhalfi, Mohamed Lamine and Chippendale, Paul and Poiesi, Fabio and Bonecher, Samuele and Osler, Gilberto and Zancanella, Nicola},
  journal={arXiv preprint arXiv:2505.08537},
  year={2025}
}
Downloads last month
92