nope 0 621.133787 621.133787 sing 0 313.469388 313.469388 nope 1 922.993197 301.859410 sing 1 615.328798 301.859410 nope 2 1230.657596 307.664399 sing 2 1230.657596 615.328798 nope 3 1845.986395 615.328798 sing 3 1538.321995 307.664399 nope 4 2153.628118 307.641723 sing 4 1845.986395 307.664399 nope 5 2461.315193 307.687075 nope 6 2763.174603 301.859410 sing 6 2766.893424 920.907029 nope 7 3378.503401 615.328798 sing 7 3070.839002 303.945578 nope 8 3697.777778 319.274376 sing 8 3390.113379 319.274376 nope 9 3993.832200 296.054422 sing 9 3993.832200 603.718821 nope 10 4609.160998 615.328798 sing 10 4301.496599 307.664399 nope 11 4916.825397 307.664399 sing 11 4609.160998 307.664399 nope 12 5224.489796 307.664399 sing 12 5224.489796 615.328798 nope 13 5839.818594 615.328798 sing 13 5532.154195 307.664399 nope 14 6159.092971 319.274376 sing 14 5851.428571 319.274376 nope 15 6449.342404 290.249433 sing 15 6455.147392 603.718821 nope 16 6762.811791 313.469388 sing 16 6757.006803 301.859410 nope 17 7372.335601 609.523810 sing 17 7064.671202 307.664399 nope 18 7680.000000 307.664399 sing 18 7372.335601 307.664399 nope 19 7987.664399 307.664399 sing 19 7987.664399 615.328798 nope 20 8608.798186 621.133787 sing 20 8301.133787 313.469388 nope 21 8910.657596 301.859410 sing 21 8602.993197 301.859410 nope 22 9224.126984 313.469388 sing 22 9218.321995 615.328798 nope 23 9833.650794 609.523810 sing 23 9525.986395 307.664399 nope 24 10135.510204 301.859410 sing 24 9827.845805 301.859410 nope 25 10640.544218 505.034014 sing 25 10652.154195 824.308390 nope 26 10959.818594 319.274376 sing 26 10652.154195 0.000000 nope 27 11273.287982 313.469388 sing 27 11261.678005 609.523810 nope 28 11569.342404 296.054422 sing 28 11575.147392 313.469388 nope 29 12184.671202 615.328798 sing 29 11882.811791 307.664399 nope 30 12498.140590 313.469388 sing 30 12190.476190 307.664399 nope 31 12800.000000 301.859410 sing 31 12805.804989 615.328798 nope 32 13415.328798 615.328798 sing 32 13107.664399 301.859410 nope 33 13722.993197 307.664399 sing 33 13415.328798 307.664399 nope 34 14030.657596 307.664399 sing 34 14030.657596 615.328798 nope 35 14785.306122 754.648526 sing 35 14477.641723 446.984127 sing 36 14756.281179 278.639456 nope 37 15389.024943 603.718821 sing 37 15081.360544 325.079365 nope 38 15667.664399 278.639456 sing 38 16015.963719 934.603175 nope 39 16399.092971 731.428571 sing 39 16091.428571 75.464853 nope 40 16399.092971 0.000000 sing 40 16178.503401 87.074830 nope 41 16799.637188 400.544218 sing 41 16793.832200 615.328798 nope 42 17409.160998 609.523810 sing 42 17101.496599 307.664399 nope 43 17821.315193 412.154195 sing 43 17612.335601 510.839002 nope 44 18123.922902 302.607710 sing 44 17816.258503 203.922902 nope 45 18448.253968 324.331066 sing 45 18430.839002 614.580499 nope 46 18738.503401 290.249433 sing 46 18738.503401 307.664399 nope 47 19353.832200 615.328798 sing 47 19046.167800 307.664399 nope 48 19673.106576 319.274376 sing 48 19661.496599 615.328798 nope 49 19969.160998 296.054422 sing 49 19969.160998 307.664399 nope 50 20584.489796 615.328798 sing 50 20276.825397 307.664399 nope 51 20892.154195 307.664399 sing 51 20584.489796 307.664399 nope 52 21205.623583 313.469388 sing 52 21205.623583 621.133787 nope 53 21809.342404 603.718821 sing 53 21507.482993 301.859410 nope 55 22424.671202 615.328798 sing 55 22424.671202 917.188209 nope 56 23040.000000 615.328798 sing 56 22732.335601 307.664399 nope 57 23347.664399 307.664399 sing 57 23040.000000 307.664399 nope 58 23655.328798 307.664399 sing 58 23655.328798 615.328798 nope 59 23962.993197 307.664399 sing 59 23962.993197 307.664399 nope 60 24578.321995 615.328798 sing 60 24270.657596 307.664399 nope 61 24885.986395 307.664399 sing 61 24578.321995 307.664399 nope 62 25205.260771 319.274376 sing 62 25193.650794 615.328798 nope 63 25808.979592 603.718821 sing 63 25501.315193 307.664399 nope 64 26110.839002 301.859410 sing 64 25803.174603 301.859410 nope 65 26424.308390 313.469388 sing 65 26418.503401 615.328798 nope 66 27033.832200 609.523810 sing 66 26726.167800 307.664399 nope 67 27341.496599 307.664399 sing 67 27033.832200 307.664399 nope 68 27649.160998 307.664399 sing 68 27649.160998 615.328798 nope 69 27956.825397 307.664399 sing 69 27956.825397 307.664399 nope 70 28572.154195 615.328798 sing 70 28264.489796 307.664399 nope 71 28879.818594 307.664399 sing 71 28879.818594 615.328798 nope 72 29187.482993 307.664399 sing 72 29199.092971 319.274376 nope 73 29797.006803 609.523810 sing 73 29489.342404 290.249433 nope 74 30336.870748 539.863946 sing 75 30267.210884 777.868481 nope 76 30882.539683 545.668934 sing 76 30574.875283 307.664399 nope 77 31190.204082 307.664399 sing 77 31190.204082 615.328798 nope 78 31805.532880 615.328798 sing 78 31497.868481 307.664399 nope 79 32108.888889 303.356009 sing 79 31811.337868 313.469388 nope 80 32415.056689 306.167800 sing 80 32415.056689 603.718821 nope 81 33030.385488 615.328798 sing 81 32722.721088 307.664399 nope 82 33338.049887 307.664399 sing 82 33030.385488 307.664399 nope 83 33645.714286 307.664399 sing 83 33645.714286 615.328798 nope 84 33953.378685 307.664399 nope 85 34568.707483 615.328798 sing 85 34261.043084 615.328798 nope 86 34876.371882 307.664399 sing 86 34876.371882 615.328798 nope 87 35184.036281 307.664399 sing 87 35184.036281 307.664399 nope 88 35798.253968 614.217687 sing 88 35491.700680 307.664399 nope 89 36101.224490 302.970522 sing 89 35793.560091 301.859410 nope 90 36408.888889 307.664399 sing 90 36408.888889 615.328798 nope 91 37024.217687 615.328798 sing 91 36716.553288 307.664399 nope 92 37331.882086 307.664399 sing 92 37024.217687 307.664399 nope 93 37639.546485 307.664399 sing 93 37639.546485 615.328798 nope 94 37947.210884 307.664399 sing 94 37947.210884 307.664399 nope 95 38562.539683 615.328798 sing 95 38254.875283 307.664399 nope 96 38870.204082 307.664399 sing 96 38870.204082 615.328798 nope 97 39177.868481 307.664399 sing 97 39177.868481 307.664399 nope 98 39787.392290 609.523810 sing 98 39479.977324 302.108844 nope 99 40095.056689 307.664399 sing 99 39787.392290 307.414966 nope 100 40402.721088 307.664399 nope 101 41018.049887 615.328798 sing 101 40710.385488 922.993197 nope 102 41325.714286 307.664399 sing 102 41023.854875 313.469388 sing 103 41633.378685 609.523810 nope 104 42248.707483 922.993197 sing 104 41941.043084 307.664399 nope 105 42556.371882 307.664399 sing 105 42248.707483 307.664399 nope 106 42864.036281 307.664399 sing 106 42864.036281 615.328798 nope 107 43171.700680 307.664399 sing 107 43171.700680 307.664399 nope 108 43781.224490 609.523810 nope 109 44088.888889 307.664399 sing 109 43781.224490 609.523810 nope 110 44396.553288 307.664399 nope 111 45116.371882 719.818594 sing 111 44808.707483 1027.482993 nope 112 45424.036281 307.664399 sing 112 45116.371882 307.664399 nope 113 45731.700680 307.664399 sing 113 45424.036281 307.664399 nope 114 46039.365079 307.664399 sing 114 46033.560091 609.523810 nope 115 46341.224490 301.859410 sing 115 46341.224490 307.664399 nope 116 46957.482993 616.258503 nope 117 47264.217687 306.734694 sing 117 47264.217687 922.993197 nope 118 47571.882086 307.664399 sing 118 47571.882086 307.664399 nope 119 48187.210884 615.328798 sing 119 47879.546485 307.664399 nope 120 48494.875283 307.664399 nope 121 48802.539683 307.664399 sing 121 48802.539683 922.993197 nope 122 49423.673469 621.133787 sing 122 49116.009070 313.469388 nope 123 49725.532880 301.859410 sing 123 49417.868481 301.859410 nope 124 50031.972789 306.439909 sing 124 50027.392290 609.523810 nope 125 50642.721088 610.748299 sing 125 50335.056689 307.664399 nope 126 50950.385488 307.664399 sing 126 50642.721088 307.664399 nope 127 51258.049887 307.664399 sing 127 51258.049887 615.328798 nope 128 51565.714286 307.664399 sing 128 51565.714286 307.664399 nope 129 52181.043084 615.328798 sing 129 51873.378685 307.664399 nope 130 52488.707483 307.664399 sing 130 52181.043084 307.664399 sing 131 52796.371882 615.328798 nope 132 53411.700680 922.993197 sing 132 53104.036281 307.664399 nope 133 53719.365079 307.664399 sing 133 53411.700680 307.664399 nope 134 54027.029478 307.664399 sing 134 54021.224490 609.523810 nope 135 54636.553288 609.523810 sing 135 54328.888889 307.664399 nope 136 54944.217687 307.664399 sing 136 54636.553288 307.664399 nope 137 55251.882086 307.664399 sing 137 55251.882086 615.328798 nope 138 55559.546485 307.664399 sing 138 55559.546485 307.664399 nope 139 56174.875283 615.328798 sing 139 55867.210884 307.664399 nope 140 56482.539683 307.664399 sing 140 56174.875283 307.664399 nope 141 56790.204082 307.664399 sing 141 56790.204082 615.328798 nope 142 57405.532880 615.328798 sing 142 57097.868481 307.664399 nope 143 57710.907029 305.374150 sing 143 57405.532880 307.664399 nope 144 58015.056689 304.149660 sing 144 58015.056689 609.523810 nope 145 58630.385488 615.328798 sing 145 58322.721088 307.664399 nope 146 58938.049887 307.664399 sing 146 58630.385488 307.664399 nope 147 59245.714286 307.664399 sing 147 59245.714286 615.328798 sing 148 59553.378685 307.664399 sing 149 59861.043084 307.664399 nope 150 60476.371882 1230.657596 sing 150 60476.371882 615.328798 nope 151 60784.036281 307.664399 sing 151 60784.036281 307.664399 nope 152 61399.365079 615.328798 sing 152 61091.700680 307.664399 nope 153 61701.224490 301.859410 sing 153 61399.365079 307.664399 nope 154 62328.163265 626.938776 sing 154 62217.868481 818.503401 nope 155 62525.532880 197.369615 sing 155 62217.868481 0.000000 nope 156 62833.197279 307.664399 sing 156 62827.392290 609.523810 nope 157 63529.795918 696.598639 sing 157 63241.337868 413.945578 sing 158 63442.721088 201.383220 nope 159 64058.049887 528.253968 sing 159 64058.049887 615.328798 nope 160 64365.714286 307.664399 sing 160 64365.714286 307.664399 nope 161 64981.043084 615.328798 sing 161 64673.378685 307.664399 nope 162 65288.707483 307.664399 sing 162 64981.043084 307.664399 sing 163 65596.371882 615.328798 nope 164 66211.700680 922.993197 sing 164 65904.036281 307.664399 nope 165 66525.170068 313.469388 sing 165 66217.505669 313.469388 nope 166 66822.471655 297.301587 sing 166 66821.224490 603.718821 nope 167 67442.358277 619.886621 sing 167 67134.693878 313.469388 nope 168 67744.217687 301.859410 sing 168 67436.553288 301.859410 nope 169 68051.882086 307.664399 sing 169 68051.882086 615.328798 nope 170 68359.546485 307.664399 sing 170 68359.546485 307.664399 nope 171 68974.875283 615.328798 sing 171 68667.210884 307.664399 nope 172 69288.344671 313.469388 sing 172 69282.539683 615.328798 nope 173 69590.204082 301.859410 sing 173 69590.204082 307.664399 sing 174 69897.868481 307.664399 nope 175 70513.197279 922.993197 sing 175 70205.532880 307.664399 nope 176 70815.056689 301.859410 sing 176 70815.056689 609.523810 nope 177 71430.385488 615.328798 sing 177 71122.721088 307.664399 nope 178 71738.049887 307.664399 sing 178 71430.385488 307.664399 nope 179 72045.714286 307.664399 sing 179 72045.714286 615.328798 nope 180 72353.378685 307.664399 sing 180 72353.378685 307.664399 nope 181 72968.707483 615.328798 sing 181 72661.043084 307.664399 nope 182 73276.371882 307.664399 sing 182 73276.371882 615.328798 nope 183 73584.036281 307.664399 sing 183 73584.036281 307.664399 nope 184 74205.170068 621.133787 sing 184 73897.505669 313.469388 nope 185 74507.029478 301.859410 sing 185 74199.365079 301.859410 nope 186 74808.888889 301.859410 sing 186 74814.693878 615.328798 nope 187 75424.217687 615.328798 sing 187 75116.553288 301.859410 sing 188 75424.217687 307.664399 nope 189 76039.546485 615.328798 sing 189 76173.061224 748.843537 nope 190 76480.725624 441.179138 sing 190 76480.725624 307.664399 nope 191 76788.390023 307.664399 sing 191 76800.000000 319.274376 nope 192 77374.693878 586.303855 sing 192 77067.029478 267.029478 nope 193 77682.358277 307.664399 sing 193 77676.553288 609.523810 nope 194 77984.217687 301.859410 sing 194 77984.217687 307.664399 nope 195 78599.546485 615.328798 sing 195 78291.882086 307.664399 nope 196 78907.210884 307.664399 sing 196 78599.546485 307.664399 nope 197 79214.875283 307.664399 sing 197 79214.875283 615.328798 nope 198 79830.204082 615.328798 sing 198 79522.539683 307.664399 nope 199 80137.868481 307.664399 sing 199 79830.204082 307.664399