nope 0 922.993197 922.993197 sing 0 621.133787 621.133787 nope 1 1637.006803 714.013605 sing 1 1422.222222 801.088435 nope 2 2461.315193 824.308390 sing 2 2223.310658 801.088435 nope 3 3378.503401 917.188209 sing 3 3041.814059 818.503401 nope 4 4098.321995 719.818594 sing 4 3825.487528 783.673469 nope 5 4916.825397 818.503401 sing 5 4626.575964 801.088435 nope 6 5636.643991 719.818594 sing 6 5416.054422 789.478458 nope 7 6449.342404 812.698413 sing 7 6217.142857 801.088435 nope 8 7372.335601 922.993197 sing 8 7018.231293 801.088435 nope 9 8092.154195 719.818594 sing 9 7825.124717 806.893424 nope 10 8910.657596 818.503401 sing 10 8620.408163 795.283447 nope 11 9624.671202 714.013605 sing 11 9421.496599 801.088435 nope 12 10443.174603 818.503401 sing 12 10222.585034 801.088435 nope 13 11366.167800 922.993197 sing 13 11017.868481 795.283447 nope 14 14309.297052 2943.129252 sing 14 13897.142857 2879.274376 nope 15 14309.297052 0.000000 sing 15 13897.142857 0.000000 nope 16 14309.297052 0.000000 sing 16 13897.142857 0.000000 nope 17 14384.761905 75.464853 sing 17 16973.219955 3076.077098 nope 18 17385.941043 3001.179138 sing 18 16973.786848 0.566893 nope 19 17385.941043 0.000000 sing 19 16973.786848 0.000000 nope 20 17385.941043 0.000000 sing 20 16973.786848 0.000000 nope 21 17587.891156 201.950113 sing 21 17594.920635 621.133787 nope 22 21565.532880 3977.641723 sing 22 21153.378685 3558.458050 nope 23 21565.532880 0.000000 nope 24 22662.675737 1097.142857 sing 24 22250.521542 1097.142857 nope 25 22662.675737 0.000000 sing 25 22250.521542 0.000000 nope 26 22691.700680 29.024943 sing 26 22279.546485 29.024943 nope 27 22691.700680 0.000000 sing 27 22279.546485 0.000000 nope 28 23608.888889 917.188209 sing 28 23196.734694 917.188209 nope 29 24125.532880 516.643991 sing 29 23817.868481 621.133787 nope 30 24839.546485 714.013605 sing 30 24624.761905 806.893424 nope 31 25658.049887 818.503401 sing 31 25437.460317 812.698413 nope 32 26476.553288 818.503401 sing 32 26221.133787 783.673469 nope 33 30365.895692 3889.342404 sing 33 29953.741497 3732.607710 nope 34 30365.895692 0.000000 sing 34 29953.741497 0.000000 nope 35 30365.895692 0.000000 sing 35 29953.741497 0.000000 nope 36 30365.895692 0.000000 sing 36 29953.741497 0.000000 nope 37 30406.530612 40.634921 sing 37 31468.843537 1515.102041 nope 38 31880.997732 1474.467120 sing 38 31468.843537 0.000000 nope 39 31985.487528 104.489796 sing 39 31822.947846 354.104308 nope 40 32786.575964 801.088435 sing 40 32618.231293 795.283447 nope 41 34493.242630 1706.666667 sing 41 34092.448980 1474.217687 nope 42 34504.603175 11.360544 sing 42 34243.628118 151.179138 nope 43 35416.235828 911.632653 sing 43 35021.496599 777.868481 nope 44 36641.088435 1224.852608 sing 44 36234.739229 1213.242630 nope 45 36803.628118 162.539683 sing 45 38597.369615 2362.630385 nope 46 39009.523810 2205.895692 sing 46 38597.369615 0.000000 nope 47 39009.523810 0.000000 sing 47 38597.369615 0.000000 nope 48 39195.283447 185.759637 sing 48 39206.893424 609.523810 nope 49 42370.612245 3175.328798 sing 49 41958.458050 2751.564626 nope 50 42370.612245 0.000000 sing 50 41964.263039 5.804989 nope 51 42376.417234 5.804989 sing 51 41964.263039 0.000000 nope 52 42382.222222 5.804989 sing 52 42794.376417 830.113379 nope 53 43206.530612 824.308390 sing 53 43200.725624 406.349206 nope 54 46265.759637 3059.229025 sing 54 45853.605442 2652.879819 nope 55 46265.759637 0.000000 sing 55 45853.605442 0.000000 nope 56 46265.759637 0.000000 sing 56 45853.605442 0.000000 nope 57 46381.859410 116.099773 sing 57 46463.129252 609.523810 nope 58 47287.437642 905.578231 sing 58 47020.408163 557.278912 nope 59 48105.941043 818.503401 sing 59 47821.496599 801.088435 nope 60 48924.444444 818.503401 sing 60 48616.780045 795.283447 nope 61 49644.263039 719.818594 sing 61 49417.868481 801.088435 nope 62 50573.061224 928.798186 sing 62 50224.761905 806.893424 nope 63 51280.566893 707.505669 sing 63 51687.619048 1462.857143 nope 64 52099.773243 819.206349 sing 64 51822.993197 135.374150 nope 65 52818.730159 718.956916 sing 65 53225.941043 1402.947846 nope 66 53638.095238 819.365079 sing 66 53417.505669 191.564626 nope 67 55008.072562 1369.977324 sing 67 54595.918367 1178.412698 nope 68 55890.430839 882.358277 sing 68 55478.276644 882.358277 nope 69 55989.115646 98.684807 sing 69 55989.115646 510.839002 nope 70 57121.088435 1131.972789 sing 70 56708.934240 719.818594 nope 71 57626.122449 505.034014 sing 71 57422.947846 714.013605 nope 72 58856.780045 1230.657596 sing 72 58444.625850 1021.678005 nope 73 59263.219955 406.439909 sing 73 59030.929705 586.303855 nope 74 60598.276644 1335.056689 sing 74 60186.122449 1155.192744 nope 75 60807.256236 208.979592 sing 75 61207.800454 1021.678005 nope 76 61619.954649 812.698413 sing 76 61416.780045 208.979592 nope 77 62542.947846 922.993197 sing 77 62229.478458 812.698413 nope 78 63262.766440 719.818594 sing 78 63018.956916 789.478458 nope 79 64087.074830 824.308390 sing 79 63820.045351 801.088435 nope 80 64998.458050 911.383220 sing 80 64621.133787 801.088435 nope 81 65625.396825 626.938776 sing 81 65416.417234 795.283447 nope 82 66536.780045 911.383220 sing 82 66217.505669 801.088435 nope 83 67355.283447 818.503401 sing 83 67018.594104 801.088435 nope 84 68075.056689 719.773243 sing 84 67824.195011 805.600907 nope 85 68998.095238 923.038549 sing 85 68626.575964 802.380952 nope 86 69816.598639 818.503401 sing 86 69416.054422 789.478458 nope 87 70530.612245 714.013605 sing 87 70228.752834 812.698413 nope 88 71459.410431 928.798186 sing 88 71047.256236 818.503401 nope 89 72690.068027 1230.657596 sing 89 72277.913832 1230.657596 nope 90 72782.947846 92.879819 sing 90 72777.142857 499.229025 nope 91 73711.746032 928.798186 sing 91 73421.496599 644.353741 nope 92 74419.954649 708.208617 sing 92 74222.585034 801.088435 nope 93 75238.458050 818.503401 sing 93 75017.868481 795.283447 nope 94 76173.061224 934.603175 sing 94 75818.956916 801.088435 nope 95 76881.269841 708.208617 sing 95 76620.045351 801.088435 nope 96 77699.773243 818.503401 sing 96 77421.133787 801.088435 nope 97 78616.961451 917.188209 sing 97 78216.417234 795.283447 nope 98 79448.367347 831.405896 sing 98 79040.725624 824.308390 nope 99 80155.283447 706.916100 sing 99 79853.424036 812.698413 nope 100 80880.907029 725.623583 sing 100 80625.487528 772.063492 nope 101 81902.585034 1021.678005 sing 101 81490.430839 864.943311 nope 102 82726.530612 823.945578 sing 102 82314.376417 823.945578 nope 103 83226.122449 499.591837 sing 103 83017.142857 702.766440 nope 104 84154.920635 928.798186 sing 104 83818.231293 801.088435 nope 105 84868.934240 714.013605 sing 105 84619.319728 801.088435 nope 106 85687.437642 818.503401 sing 106 85420.408163 801.088435 nope 107 86616.235828 928.798186 sing 107 86221.496599 801.088435 nope 108 87428.934240 812.698413 sing 108 87022.585034 801.088435 nope 109 88346.122449 917.188209 sing 109 87933.968254 911.383220 nope 110 88856.961451 510.839002 sing 110 88618.956916 684.988662 nope 111 90505.578231 1648.616780 sing 111 90093.424036 1474.467120 nope 112 90505.578231 0.000000 sing 112 90226.938776 133.514739 nope 113 91318.276644 812.698413 sing 113 91022.222222 795.283447 nope 114 92136.780045 818.503401 sing 114 91823.310658 801.088435 nope 115 92850.793651 714.013605 sing 115 92624.399093 801.088435 nope 116 93773.786848 922.993197 sing 116 93425.487528 801.088435 nope 117 94493.605442 719.818594 sing 117 94226.575964 801.088435 nope 118 95410.793651 917.188209 sing 118 95021.859410 795.283447 nope 119 96026.122449 615.328798 sing 119 96433.854875 1411.995465 nope 120 96846.009070 819.886621 sing 120 96647.256236 213.401361 nope 121 97767.619048 921.609977 sing 121 97419.319728 772.063492 nope 122 99009.886621 1242.267574 sing 122 98620.952381 1201.632653 nope 123 100008.344671 998.458050 sing 123 99596.190476 975.238095 nope 124 100008.344671 0.000000 sing 124 99903.854875 307.664399 nope 125 101244.807256 1236.462585 sing 125 100832.653061 928.798186 nope 126 101656.961451 412.154195 sing 126 102183.809524 1351.156463 nope 127 102595.963719 939.002268 sing 127 102266.485261 82.675737 nope 128 103595.827664 999.863946 sing 128 103183.673469 917.188209 nope 129 104106.666667 510.839002 sing 129 103862.857143 679.183673 nope 130 105227.029478 1120.362812 sing 130 104814.875283 952.018141 nope 131 105690.997732 463.968254 sing 131 106457.687075 1642.811791 nope 132 106869.841270 1178.843537 sing 132 106457.687075 0.000000 nope 133 107374.875283 505.034014 sing 133 107020.770975 563.083900 nope 134 108158.548753 783.673469 sing 134 107821.859410 801.088435 nope 135 109325.351474 1166.802721 sing 135 108924.807256 1102.947846 nope 136 109627.210884 301.859410 sing 136 109424.036281 499.229025 nope 137 110445.714286 818.503401 sing 137 110219.319728 795.283447 nope 138 112396.190476 1950.476190 sing 138 111989.841270 1770.521542 nope 139 112401.995465 5.804989 sing 139 111989.841270 0.000000 nope 140 112790.929705 388.934240 sing 140 113005.714286 1015.873016 nope 141 113591.315193 800.385488 sing 141 113516.553288 510.839002 nope 142 115670.204082 2078.888889 sing 142 115258.049887 1741.496599 nope 143 115670.204082 0.000000 sing 143 115258.049887 0.000000 nope 144 117510.385488 1840.181406 sing 144 117098.231293 1840.181406 nope 145 117510.385488 0.000000 sing 145 117098.231293 0.000000 nope 146 117591.655329 81.269841 sing 146 118340.498866 1242.267574 nope 147 118752.653061 1160.997732 sing 147 118340.498866 0.000000 nope 148 120180.680272 1428.027211 sing 148 119768.526077 1428.027211 nope 149 120186.485261 5.804989 sing 149 119820.770975 52.244898 nope 150 120999.183673 812.698413 sing 150 120616.054422 795.283447 nope 151 122438.820862 1439.637188 sing 151 122026.666667 1410.612245 nope 152 122438.820862 0.000000 sing 152 122833.560091 806.893424 nope 153 123245.714286 806.893424 sing 153 123024.421769 190.861678 nope 154 124685.351474 1439.637188 sing 154 124273.197279 1248.775510 nope 155 124788.934240 103.582766 sing 155 124778.231293 505.034014 nope 156 125805.714286 1016.780045 sing 156 125422.585034 644.353741 nope 157 126421.043084 615.328798 sing 157 126217.868481 795.283447 nope 158 127756.190476 1335.147392 sing 158 127344.036281 1126.167800 nope 159 128058.049887 301.859410 sing 159 127825.850340 481.814059 nope 160 128876.553288 818.503401 sing 160 128621.133787 795.283447 nope 161 132278.276644 3401.723356 sing 161 131866.122449 3244.988662 nope 162 132278.276644 0.000000 sing 162 131866.122449 0.000000 nope 163 132278.276644 0.000000 sing 163 131866.122449 0.000000 nope 164 132278.276644 0.000000 sing 164 131866.122449 0.000000 nope 165 133207.074830 928.798186 sing 165 132794.920635 928.798186 nope 166 136382.403628 3175.328798 sing 166 135970.249433 3175.328798 nope 167 136382.403628 0.000000 sing 167 135970.249433 0.000000 nope 168 136382.403628 0.000000 sing 168 135970.249433 0.000000 nope 169 136382.403628 0.000000 sing 169 135970.249433 0.000000 nope 170 139238.458050 2856.054422 sing 170 138826.303855 2856.054422 nope 171 139238.458050 0.000000 sing 171 138826.303855 0.000000 nope 172 139238.458050 0.000000 sing 172 138826.303855 0.000000 nope 173 139238.458050 0.000000 sing 173 139035.283447 208.979592 nope 174 142303.492063 3065.034014 sing 174 141897.142857 2861.859410 nope 175 142309.297052 5.804989 sing 175 141897.142857 0.000000 nope 176 142309.297052 0.000000 sing 176 141897.142857 0.000000 nope 177 142384.761905 75.464853 sing 177 142918.820862 1021.678005 nope 178 143336.235828 951.473923 sing 178 143023.310658 104.489796 nope 179 145275.646259 1939.410431 sing 179 144863.492063 1840.181406 nope 180 145275.646259 0.000000 sing 180 144863.492063 0.000000 nope 181 147115.827664 1840.181406 sing 181 146703.673469 1840.181406 nope 182 147115.827664 0.000000 sing 182 146703.673469 0.000000 nope 183 147185.487528 69.659864 sing 183 148073.650794 1369.977324 nope 184 148485.804989 1300.317460 sing 184 148073.650794 0.000000 nope 185 149275.283447 789.478458 sing 185 148863.129252 789.478458 nope 186 150703.310658 1428.027211 sing 186 150308.571429 1445.442177 nope 187 150720.725624 17.414966 sing 187 150308.571429 0.000000 nope 188 154406.893424 3686.167800 sing 188 153994.739229 3686.167800 nope 189 154406.893424 0.000000 sing 189 154006.349206 11.609977 nope 190 154418.503401 11.609977 sing 190 154006.349206 0.000000 nope 191 154430.113379 11.609977 sing 191 154017.959184 11.609977 nope 192 154430.113379 0.000000 sing 192 154226.938776 208.979592 nope 193 157518.367347 3088.253968 sing 193 157106.213152 2879.274376 nope 194 157518.367347 0.000000 sing 194 157106.213152 0.000000 nope 195 157518.367347 0.000000 sing 195 157106.213152 0.000000 nope 196 157588.027211 69.659864 sing 196 158180.136054 1073.922902 nope 197 158598.095238 1010.068027 sing 197 158342.675737 162.539683 nope 198 159939.047619 1340.952381 sing 198 159526.893424 1184.217687 nope 199 159991.292517 52.244898 sing 199 159927.437642 400.544218