nope 0 801.337868 801.337868 sing 0 795.283447 795.283447 nope 1 1590.816327 789.478458 sing 1 1596.371882 801.088435 nope 2 2393.628118 802.811791 sing 2 2403.265306 806.893424 nope 3 3192.993197 799.365079 sing 3 3215.963719 812.698413 nope 4 3994.081633 801.088435 sing 4 3999.637188 783.673469 nope 5 4789.365079 795.283447 sing 5 4812.335601 812.698413 nope 6 5596.258503 806.893424 sing 6 5601.814059 789.478458 nope 7 6420.566893 824.308390 sing 7 6397.097506 795.283447 nope 8 7198.435374 777.868481 sing 8 7192.380952 795.283447 nope 9 7999.523810 801.088435 sing 9 7999.274376 806.893424 nope 10 8794.807256 795.283447 sing 10 8800.362812 801.088435 nope 11 9601.700680 806.893424 sing 11 9600.521542 800.158730 nope 12 10396.984127 795.283447 sing 12 10402.539683 802.018141 nope 13 11192.267574 795.283447 sing 13 11197.823129 795.283447 nope 14 11993.356009 801.088435 sing 14 12033.741497 835.918367 nope 15 12800.249433 806.893424 sing 15 12800.000000 766.258503 nope 16 13601.337868 801.088435 sing 16 13601.088435 801.088435 nope 17 14399.092971 797.755102 sing 17 14396.371882 795.283447 nope 18 15196.213152 797.120181 sing 18 15191.655329 795.283447 nope 19 15992.993197 796.780045 sing 19 15998.571429 806.916100 nope 20 16788.276644 795.283447 sing 20 16793.832200 795.260771 nope 21 17600.975057 812.698413 sing 21 17600.725624 806.893424 nope 22 18419.478458 818.503401 sing 22 18390.204082 789.478458 nope 23 19197.346939 777.868481 sing 23 19208.707483 818.503401 nope 24 19995.555556 798.208617 sing 24 20021.405896 812.698413 nope 25 20787.913832 792.358277 sing 25 22360.816327 2339.410431 nope 26 22604.875283 1816.961451 sing 26 22360.816327 0.000000 nope 27 22604.875283 0.000000 sing 27 22424.671202 63.854875 nope 28 23237.619048 632.743764 sing 28 23219.954649 795.283447 nope 29 24061.927438 824.308390 sing 29 23997.823129 777.868481 nope 30 24822.380952 760.453515 sing 30 24804.716553 806.893424 nope 31 25617.664399 795.283447 sing 31 25617.414966 812.698413 nope 32 26401.337868 783.673469 sing 32 26418.503401 801.088435 nope 33 27437.256236 1035.918367 sing 33 27335.691610 917.188209 nope 34 28055.759637 618.503401 sing 34 28072.925170 737.233560 nope 35 29019.387755 963.628118 sing 35 28949.478458 876.553288 nope 36 29594.081633 574.693878 sing 36 29599.637188 650.158730 nope 37 30418.390023 824.308390 sing 37 30400.725624 801.088435 nope 38 31190.453515 772.063492 sing 38 31196.009070 795.283447 nope 39 32003.151927 812.698413 sing 39 31997.097506 801.088435 nope 40 32798.435374 795.283447 sing 40 32798.185941 801.088435 nope 41 33587.913832 789.478458 sing 41 33599.274376 801.088435 nope 42 34400.612245 812.698413 sing 42 34423.582766 824.308390 nope 43 35224.920635 824.308390 sing 43 35201.451247 777.868481 nope 44 35996.984127 772.063492 sing 44 36031.564626 830.113379 nope 45 36809.682540 812.698413 sing 45 36832.653061 801.088435 nope 46 37598.752834 789.070295 sing 46 37598.911565 766.258503 nope 47 38400.249433 801.496599 sing 47 38400.000000 801.088435 nope 48 39207.142857 806.893424 sing 48 39199.841270 799.841270 nope 49 39996.621315 789.478458 sing 49 40007.981859 808.140590 nope 50 40809.319728 812.698413 sing 50 40797.460317 789.478458 nope 51 41598.798186 789.478458 sing 51 41598.548753 801.088435 nope 52 42394.081633 795.283447 sing 52 42422.857143 824.308390 nope 53 43224.195011 830.113379 sing 53 43200.725624 777.868481 nope 54 44013.673469 789.478458 sing 54 43996.009070 795.283447 nope 55 44797.346939 783.673469 sing 55 44797.097506 801.088435 nope 56 45600.702948 803.356009 sing 56 45882.630385 1085.532880 nope 57 46393.718821 793.015873 sing 57 46399.274376 516.643991 nope 58 47194.807256 801.088435 sing 58 47200.362812 801.088435 nope 59 48013.310658 818.503401 sing 59 48001.451247 801.088435 nope 60 48895.668934 882.358277 sing 60 48796.734694 795.283447 nope 61 49597.936508 702.267574 sing 61 49597.823129 801.088435 nope 62 50579.115646 981.179138 sing 62 50404.716553 806.893424 nope 63 51190.997732 611.882086 sing 63 51316.099773 911.383220 nope 64 52047.777778 856.780045 sing 64 52001.088435 684.988662 nope 65 52825.646259 777.868481 sing 65 52807.981859 806.893424 nope 66 53597.709751 772.063492 sing 66 53597.460317 789.478458 nope 67 54398.798186 801.088435 sing 67 54572.698413 975.238095 nope 68 55240.521542 841.723356 sing 68 55199.637188 626.938776 nope 69 56018.390023 777.868481 sing 69 56000.725624 801.088435 nope 70 56790.453515 772.063492 sing 70 56796.009070 795.283447 nope 71 57597.346939 806.893424 sing 71 57602.902494 806.893424 nope 72 58398.435374 801.088435 sing 72 58543.310658 940.408163 nope 73 59251.768707 853.333333 sing 73 59222.494331 679.183673 nope 74 60163.151927 911.383220 sing 74 60075.827664 853.333333 nope 75 60813.310658 650.158730 sing 75 60801.451247 725.623583 nope 76 61591.179138 777.868481 sing 76 61596.734694 795.283447 nope 77 62398.072562 806.893424 sing 77 62415.238095 818.503401 nope 78 63194.331066 796.258503 sing 78 63198.911565 783.673469 nope 79 63990.816327 796.485261 sing 79 64000.000000 801.088435 nope 80 64795.532880 804.716553 sing 80 64801.088435 801.088435 nope 81 65596.621315 801.088435 sing 81 65596.371882 795.283447 nope 82 66397.709751 801.088435 sing 82 66403.265306 806.893424 nope 83 67192.993197 795.283447 sing 83 67198.548753 795.283447 nope 84 67994.081633 801.088435 sing 84 67999.637188 801.088435 nope 85 68800.975057 806.893424 sing 85 68800.725624 801.088435 nope 86 69631.088435 830.113379 sing 86 69596.009070 795.283447 nope 87 70397.346939 766.258503 sing 87 70420.317460 824.308390 nope 88 71198.435374 801.088435 sing 88 71233.015873 812.698413 nope 89 72005.170068 806.734694 sing 89 72312.743764 1079.727891 nope 90 72794.807256 789.637188 sing 90 72800.362812 487.619048 nope 91 73595.532880 800.725624 sing 91 73601.451247 801.088435 nope 92 74396.984127 801.451247 sing 92 74402.539683 801.088435 nope 93 75198.072562 801.088435 sing 93 75197.823129 795.283447 nope 94 75999.160998 801.088435 sing 94 75998.911565 801.088435 nope 95 76794.444444 795.283447 sing 95 76800.000000 801.088435 nope 96 77601.337868 806.893424 sing 96 77599.954649 799.954649 nope 97 78396.122449 794.784580 sing 97 78396.371882 796.417234 nope 98 79197.709751 801.587302 sing 98 79214.875283 818.503401 nope 99 79998.798186 801.088435 sing 99 80027.573696 812.698413 nope 100 80794.081633 795.283447 sing 100 80805.442177 777.868481 nope 101 81606.780045 812.698413 sing 101 81600.725624 795.283447 nope 102 82390.453515 783.673469 sing 102 82396.009070 795.283447 nope 103 83197.346939 806.893424 sing 103 83197.097506 801.088435 nope 104 83998.435374 801.088435 sing 104 83998.185941 801.088435 nope 105 84811.133787 812.698413 sing 105 84799.274376 801.088435 nope 106 85606.417234 795.283447 sing 106 85600.362812 801.088435 nope 107 86407.505669 801.088435 sing 107 86401.451247 801.088435 nope 108 87196.984127 789.478458 sing 108 87208.344671 806.893424 nope 109 88156.780045 959.795918 sing 109 88021.043084 812.698413 nope 110 88799.160998 642.380952 sing 110 88827.936508 806.893424 nope 111 89594.444444 795.283447 sing 111 89983.129252 1155.192744 nope 112 90407.142857 812.698413 sing 112 90406.893424 423.764172 nope 113 91196.621315 789.478458 sing 113 91196.371882 789.478458 nope 114 91997.709751 801.088435 sing 114 92003.265306 806.893424 nope 115 92798.798186 801.088435 sing 115 92804.353741 801.088435 nope 116 93594.081633 795.283447 sing 116 93599.977324 795.623583 nope 117 94400.975057 806.893424 sing 117 94406.530612 806.553288 nope 118 95213.673469 812.698413 sing 118 95213.424036 806.893424 nope 119 96003.151927 789.478458 sing 119 96014.512472 801.088435 nope 120 96804.240363 801.088435 sing 120 96827.210884 812.698413 nope 121 97593.718821 789.478458 sing 121 97599.274376 772.063492 nope 122 98458.662132 864.943311 sing 122 98870.566893 1271.292517 nope 123 99416.485261 957.823129 sing 123 99514.920635 644.353741 nope 124 100037.619048 621.133787 sing 124 100078.004535 563.083900 nope 125 101187.006803 1149.387755 sing 125 100942.947846 864.943311 nope 126 101622.380952 435.374150 sing 126 101656.961451 714.013605 nope 127 102452.494331 830.113379 sing 127 102446.439909 789.478458 nope 128 103241.972789 789.478458 sing 128 103263.129252 816.689342 nope 129 104048.866213 806.893424 sing 129 104042.811791 779.682540 nope 130 104867.369615 818.503401 sing 130 104890.340136 847.528345 nope 131 105668.458050 801.088435 sing 131 105708.843537 818.503401 nope 132 106394.081633 725.623583 sing 132 106399.637188 690.793651 nope 133 107195.170068 801.088435 sing 133 107200.725624 801.088435 nope 134 108164.603175 969.433107 sing 134 108001.814059 801.088435 nope 135 108797.346939 632.743764 sing 135 108797.097506 795.283447 nope 136 109627.097506 829.750567 sing 136 109598.185941 801.088435 nope 137 110393.718821 766.621315 sing 137 110399.274376 801.088435 nope 138 111194.807256 801.088435 sing 138 111200.362812 801.088435 nope 139 112019.115646 824.308390 sing 139 112001.451247 801.088435 nope 140 112820.204082 801.088435 sing 140 112814.149660 812.698413 nope 141 113598.095238 777.891156 sing 141 113597.823129 783.673469 nope 142 114399.160998 801.065760 sing 142 114398.911565 801.088435 nope 143 115206.054422 806.893424 sing 143 115200.000000 801.088435 nope 144 116001.337868 795.283447 sing 144 116001.088435 801.088435 nope 145 116814.036281 812.698413 sing 145 116796.371882 795.283447 nope 146 117597.709751 783.673469 sing 146 117597.460317 801.088435 nope 147 118398.798186 801.088435 sing 147 118404.353741 806.893424 nope 148 119194.081633 795.283447 sing 148 119199.637188 795.283447 nope 149 120012.585034 818.503401 sing 149 120006.530612 806.893424 nope 150 120831.088435 818.503401 sing 150 120801.814059 795.283447 nope 151 121597.346939 766.258503 sing 151 121602.902494 801.088435 nope 152 122398.435374 801.088435 sing 152 122425.804989 822.902494 nope 153 123193.718821 795.283447 sing 153 123205.079365 779.274376 nope 154 124000.612245 806.893424 sing 154 124000.362812 795.283447 nope 155 124795.895692 795.283447 sing 155 124801.451247 801.088435 nope 156 125596.984127 801.088435 sing 156 125602.539683 801.088435 nope 157 126398.072562 801.088435 sing 157 126432.653061 830.113379 nope 158 127199.160998 801.088435 sing 158 127198.911565 766.258503 nope 159 128011.859410 812.698413 sing 159 128000.000000 801.088435 nope 160 128807.142857 795.283447 sing 160 128806.893424 806.893424 nope 161 129619.841270 812.698413 sing 161 129602.176871 795.283447 nope 162 130397.709751 777.868481 sing 162 130403.265306 801.088435 nope 163 131198.798186 801.088435 sing 163 131221.768707 818.503401 nope 164 131994.081633 795.283447 sing 164 132005.442177 783.673469 nope 165 132795.170068 801.088435 sing 165 132985.192744 979.750567 nope 166 133596.258503 801.088435 sing 166 133596.009070 610.816327 nope 167 134397.346939 801.088435 sing 167 134397.097506 801.088435 nope 168 135198.435374 801.088435 sing 168 135198.185941 801.088435 nope 169 136022.743764 824.308390 sing 169 135999.274376 801.088435 nope 170 136794.807256 772.063492 sing 170 136800.362812 801.088435 nope 171 137613.310658 818.503401 sing 171 137607.256236 806.893424 nope 172 138396.984127 783.673469 sing 172 138396.734694 789.478458 nope 173 139203.877551 806.893424 sing 173 139209.433107 812.698413 nope 174 139999.160998 795.283447 sing 174 139998.911565 789.478458 nope 175 140794.444444 795.283447 sing 175 140805.804989 806.893424 nope 176 141595.532880 801.088435 sing 176 141601.088435 795.283447 nope 177 142402.426304 806.893424 sing 177 142396.371882 795.283447 nope 178 143197.709751 795.283447 sing 178 143197.460317 801.088435 nope 179 144004.603175 806.893424 sing 179 144004.353741 806.893424 nope 180 144794.081633 789.478458 sing 180 144799.637188 795.283447 nope 181 145595.170068 801.088435 sing 181 145600.725624 801.088435 nope 182 146436.893424 841.723356 sing 182 146407.619048 806.893424 nope 183 147197.346939 760.453515 sing 183 147202.902494 795.283447 nope 184 147998.435374 801.088435 sing 184 148062.743764 859.841270 nope 185 148793.718821 795.283447 sing 185 148799.274376 736.530612 nope 186 149600.612245 806.893424 sing 186 149600.362812 801.088435 nope 187 150395.895692 795.283447 sing 187 150401.451247 801.088435 nope 188 151196.984127 801.088435 sing 188 151196.734694 795.283447 nope 189 152009.682540 812.698413 sing 189 151997.823129 801.088435 nope 190 152799.160998 789.478458 sing 190 152804.716553 806.893424 nope 191 153600.249433 801.088435 sing 191 153600.000000 795.283447 nope 192 154447.777778 847.528345 sing 192 154401.088435 801.088435 nope 193 155237.256236 789.478458 sing 193 155207.120181 806.031746 nope 194 155997.709751 760.453515 sing 194 156003.265306 796.145125 nope 195 156798.798186 801.088435 sing 195 156838.480726 835.215420 nope 196 157594.081633 795.283447 sing 196 157599.637188 761.156463 nope 197 158395.170068 801.088435 sing 197 158534.240363 934.603175 nope 198 159196.258503 801.088435 sing 198 159196.009070 661.768707 nope 199 159997.346939 801.088435 sing 199 160002.902494 806.893424