Weighted binomial distribution for 2048 minimum win Made with ugly bino2048.c code Keith Lofstrom Monday July 10 2023 Assumes Gabrielle Cirulli 0.9 selection weight for 2's, and 512 resulting 4-tiles # pairs of 2-tiles ln(probab.) probability sum(prob) score 1 -865.08862120 0.00000000e+00 0.00000000e+00 18436 2 -858.04132140 0.00000000e+00 0.00000000e+00 18440 3 -851.40144556 0.00000000e+00 0.00000000e+00 18444 4 -845.05121451 0.00000000e+00 0.00000000e+00 18448 5 -838.92609358 0.00000000e+00 0.00000000e+00 18452 6 -832.98526465 0.00000000e+00 0.00000000e+00 18456 7 -827.20056073 0.00000000e+00 0.00000000e+00 18460 8 -821.55136645 0.00000000e+00 0.00000000e+00 18464 9 -816.02193736 0.00000000e+00 0.00000000e+00 18468 10 -810.59985489 0.00000000e+00 0.00000000e+00 18472 11 -805.27507264 0.00000000e+00 0.00000000e+00 18476 12 -800.03929579 0.00000000e+00 0.00000000e+00 18480 13 -794.88555966 0.00000000e+00 0.00000000e+00 18484 14 -789.80793349 0.00000000e+00 0.00000000e+00 18488 15 -784.80130622 0.00000000e+00 0.00000000e+00 18492 16 -779.86122752 0.00000000e+00 0.00000000e+00 18496 17 -774.98378754 0.00000000e+00 0.00000000e+00 18500 18 -770.16552414 0.00000000e+00 0.00000000e+00 18504 19 -765.40335020 0.00000000e+00 0.00000000e+00 18508 20 -760.69449591 0.00000000e+00 0.00000000e+00 18512 21 -756.03646223 0.00000000e+00 0.00000000e+00 18516 22 -751.42698316 0.00000000e+00 0.00000000e+00 18520 23 -746.86399459 0.00000000e+00 0.00000000e+00 18524 24 -742.34560853 3.95252517e-323 3.95252517e-323 18528 25 -737.87009155 3.52268805e-321 3.56221331e-321 18532 26 -733.43584657 2.97071792e-319 3.00634005e-319 18536 27 -729.04139742 2.40626817e-317 2.43633157e-317 18540 28 -724.68537564 1.87560008e-315 1.89996340e-315 18544 29 -720.36650917 1.40864034e-313 1.42763997e-313 18548 30 -716.08361250 1.02055992e-311 1.03483632e-311 18552 31 -711.83557819 7.14062734e-310 7.24411098e-310 18556 32 -707.62136943 4.82996496e-308 4.90240607e-308 18560 33 -703.44001349 3.16143161e-306 3.21045567e-306 18564 34 -699.29059602 2.00425466e-304 2.03635922e-304 18568 35 -695.17225595 1.23175765e-302 1.25212124e-302 18572 36 -691.08418100 7.34435498e-301 7.46956711e-301 18576 37 -687.02560366 4.25178605e-299 4.32648172e-299 18580 38 -682.99579762 2.39162965e-297 2.43489447e-297 18584 39 -678.99407455 1.30803745e-295 1.33238639e-295 18588 40 -675.01978122 6.96039427e-294 7.09363291e-294 18592 41 -671.07229690 3.60582376e-292 3.67676009e-292 18596 42 -667.15103103 1.81965321e-290 1.85642081e-290 18600 43 -663.25542106 8.95015472e-289 9.13579681e-289 18604 44 -659.38493052 4.29302308e-287 4.38438105e-287 18608 45 -655.53904732 2.00913480e-285 2.05297861e-285 18612 46 -651.71728206 9.17868866e-284 9.38398652e-284 18616 47 -647.91916663 4.09525747e-282 4.18909734e-282 18620 48 -644.14425284 1.78527630e-280 1.82716728e-280 18624 49 -640.39211119 7.60746311e-279 7.79017984e-279 18628 50 -636.66232975 3.17002988e-277 3.24793168e-277 18632 51 -632.95451309 1.29225336e-275 1.32473267e-275 18636 52 -629.26828137 5.15534536e-274 5.28781863e-274 18640 53 -625.60326940 2.01350281e-272 2.06638100e-272 18644 54 -621.95912584 7.70164825e-271 7.90828635e-271 18648 55 -618.33551244 2.88601764e-269 2.96510051e-269 18652 56 -614.73210334 1.05983844e-267 1.08948945e-267 18656 57 -611.14858441 3.81541840e-266 3.92436734e-266 18660 58 -607.58465260 1.34690848e-264 1.38615215e-264 18664 59 -604.04001545 4.66395596e-263 4.80257118e-263 18668 60 -600.51439049 1.58457904e-261 1.63260475e-261 18672 61 -597.00750478 5.28366191e-260 5.44692239e-260 18676 62 -593.51909443 1.72954707e-258 1.78401630e-258 18680 63 -590.04890417 5.55925845e-257 5.73766008e-257 18684 64 -586.59668697 1.75507526e-255 1.81245186e-255 18688 65 -583.16220361 5.44343343e-254 5.62467862e-254 18692 66 -579.74522236 1.65901005e-252 1.71525684e-252 18696 67 -576.34551863 4.96960176e-251 5.14112744e-251 18700 68 -572.96287466 1.46347464e-249 1.51488591e-249 18704 69 -569.59707921 4.23771351e-248 4.38920210e-248 18708 70 -566.24792728 1.20684027e-246 1.25073229e-246 18712 71 -562.91521988 3.38085253e-245 3.50592576e-245 18716 72 -559.59876373 9.31847478e-244 9.66906735e-244 18720 73 -556.29837104 2.52747672e-242 2.62416739e-242 18724 74 -553.01385933 6.74733819e-241 7.00975493e-241 18728 75 -549.74505113 1.77320048e-239 1.84329803e-239 18732 76 -546.49177388 4.58815623e-238 4.77248604e-238 18736 77 -543.25385966 1.16908604e-236 1.21681090e-236 18740 78 -540.03114506 2.93395632e-235 3.05563741e-235 18744 79 -536.82347098 7.25318569e-234 7.55874943e-234 18748 80 -533.63068249 1.76660404e-232 1.84219153e-232 18752 81 -530.45262866 4.23984969e-231 4.42406885e-231 18756 82 -527.28916242 1.00282786e-229 1.04706855e-229 18760 83 -524.14014043 2.33791797e-228 2.44262483e-228 18764 84 -521.00542291 5.37303648e-227 5.61729896e-227 18768 85 -517.88487357 1.21746685e-225 1.27363984e-225 18772 86 -514.77835946 2.72018902e-224 2.84755301e-224 18776 87 -511.68575083 5.99379581e-223 6.27855111e-223 18780 88 -508.60692108 1.30262892e-221 1.36541443e-221 18784 89 -505.54174660 2.79260222e-220 2.92914367e-220 18788 90 -502.49010670 5.90635370e-219 6.19926807e-219 18792 91 -499.45188349 1.23254568e-217 1.29453836e-217 18796 92 -496.42696184 2.53810629e-216 2.66756013e-216 18800 93 -493.41522922 5.15808698e-215 5.42484299e-215 18804 94 -490.41657569 1.03463543e-213 1.08888386e-213 18808 95 -487.43089375 2.04857814e-212 2.15746653e-212 18812 96 -484.45807832 4.00433009e-211 4.22007674e-211 18816 97 -481.49802665 7.72794425e-210 8.14995193e-210 18820 98 -478.55063821 1.47264652e-208 1.55414604e-208 18824 99 -475.61581469 2.77125300e-207 2.92666760e-207 18828 100 -472.69345988 5.15037369e-206 5.44304045e-206 18832 101 -469.78347965 9.45425032e-205 9.99855437e-205 18836 102 -466.88578186 1.71427804e-203 1.81426358e-203 18840 103 -464.00027629 3.07072134e-202 3.25214770e-202 18844 104 -461.12687463 5.43429098e-201 5.75950575e-201 18848 105 -458.26549041 9.50224595e-200 1.00781965e-199 18852 106 -455.41603892 1.64182674e-198 1.74260871e-198 18856 107 -452.57843720 2.80338080e-197 2.97764167e-197 18860 108 -449.75260397 4.73070510e-196 5.02846927e-196 18864 109 -446.93845957 7.89029529e-195 8.39314222e-195 18868 110 -444.13592598 1.30082277e-193 1.38475420e-193 18872 111 -441.34492670 2.11998955e-192 2.25846497e-192 18876 112 -438.56538674 3.41564387e-191 3.64149037e-191 18880 113 -435.79723262 5.44084865e-190 5.80499769e-190 18884 114 -433.04039225 8.56933662e-189 9.14983639e-189 18888 115 -430.29479498 1.33458103e-187 1.42607940e-187 18892 116 -427.56037149 2.05536984e-186 2.19797778e-186 18896 117 -424.83705382 3.13048638e-185 3.35028415e-185 18900 118 -422.12477528 4.71562672e-184 5.05065514e-184 18904 119 -419.42347047 7.02588755e-183 7.53095306e-183 18908 120 -416.73307520 1.03544018e-181 1.11074971e-181 18912 121 -414.05352651 1.50951775e-180 1.62059272e-180 18916 122 -411.38476260 2.17704629e-179 2.33910556e-179 18920 123 -408.72672282 3.10627336e-178 3.34018392e-178 18924 124 -406.07934765 4.38510607e-177 4.71912446e-177 18928 125 -403.44257865 6.12511616e-176 6.59702860e-176 18932 126 -400.81635846 8.46578554e-175 9.12548841e-175 18936 127 -398.20063078 1.15787949e-173 1.24913437e-173 18940 128 -395.59534032 1.56720798e-172 1.69212142e-172 18944 129 -393.00043277 2.09932976e-171 2.26854190e-171 18948 130 -390.41585484 2.78322680e-170 3.01008099e-170 18952 131 -387.84155415 3.65218845e-169 3.95319654e-169 18956 132 -385.27747930 4.74369477e-168 5.13901442e-168 18960 133 -382.72357978 6.09903613e-167 6.61293757e-167 18964 134 -380.17980598 7.76261650e-166 8.42391026e-166 18968 135 -377.64610917 9.78089679e-165 1.06232878e-164 18972 136 -375.12244147 1.22009496e-163 1.32632783e-163 18976 137 -372.60875585 1.50686180e-162 1.63949458e-162 18980 138 -370.10500612 1.84262992e-161 2.00657938e-161 18984 139 -367.61114686 2.23104040e-160 2.43169834e-160 18988 140 -365.12713346 2.67485808e-159 2.91802791e-159 18992 141 -362.65292210 3.17568257e-158 3.46748536e-158 18996 142 -360.18846970 3.73366341e-157 4.08041195e-157 19000 143 -357.73373393 4.34723747e-156 4.75527867e-156 19004 144 -355.28867319 5.01290821e-155 5.48843608e-155 19008 145 -352.85324659 5.72508689e-154 6.27393050e-154 19012 146 -350.42741397 6.47601439e-153 7.10340744e-153 19016 147 -348.01113583 7.25577938e-152 7.96612013e-152 19020 148 -345.60437335 8.05244435e-151 8.84905636e-151 19024 149 -343.20708839 8.85228446e-150 9.73719010e-150 19028 150 -340.81924346 9.64013778e-149 1.06138568e-148 19032 151 -338.44080168 1.03998572e-147 1.14612429e-147 19036 152 -336.07172685 1.11148474e-146 1.22609717e-146 19040 153 -333.71198334 1.17686620e-145 1.29947592e-145 19044 154 -331.36153616 1.23456321e-144 1.36451080e-144 19048 155 -329.02035089 1.28314925e-143 1.41960033e-143 19052 156 -326.68839372 1.32139696e-142 1.46335700e-142 19056 157 -324.36563140 1.34832990e-141 1.49466560e-141 19060 158 -322.05203125 1.36326393e-140 1.51273049e-140 19064 159 -319.74756114 1.36583613e-139 1.51710917e-139 19068 160 -317.45218950 1.35601918e-138 1.50773010e-138 19072 161 -315.16588529 1.33412073e-137 1.48489374e-137 19076 162 -312.88861801 1.30076771e-136 1.44925709e-136 19080 163 -310.62035766 1.25687678e-135 1.40180249e-135 19084 164 -308.36107477 1.20361279e-134 1.34379304e-134 19088 165 -306.11074036 1.14233796e-133 1.27671726e-133 19092 166 -303.86932598 1.07455465e-132 1.20222638e-132 19096 167 -301.63680362 1.00184527e-131 1.12206790e-131 19100 168 -299.41314578 9.25812367e-131 1.03801916e-130 19104 169 -297.19832544 8.48022216e-130 9.51824131e-130 19108 170 -294.99231604 7.69954288e-129 8.65136701e-129 19112 171 -292.79509146 6.92958859e-128 7.79472529e-128 19116 172 -290.60662606 6.18224052e-127 6.96171305e-127 19120 173 -288.42689464 5.46753063e-126 6.16370194e-126 19124 174 -286.25587244 4.79351608e-125 5.40988628e-125 19128 175 -284.09353512 4.16625026e-124 4.70723889e-124 19132 176 -281.93985879 3.58984007e-123 4.06056396e-123 19136 177 -279.79481996 3.06657525e-122 3.47263164e-122 19140 178 -277.65839558 2.59711359e-121 2.94437675e-121 19144 179 -275.53056300 2.18070487e-120 2.47514255e-120 19148 180 -273.41129996 1.81543681e-119 2.06295106e-119 19152 181 -271.30058463 1.49848762e-118 1.70478272e-118 19156 182 -269.19839554 1.22637215e-117 1.39685042e-117 19160 183 -267.10471165 9.95170840e-117 1.13485588e-116 19164 184 -265.01951226 8.00733929e-116 9.14219517e-116 19168 185 -262.94277708 6.38855826e-115 7.30277778e-115 19172 186 -260.87448618 5.05417392e-114 5.78445169e-114 19176 187 -258.81462002 3.96495890e-113 4.54340407e-113 19180 188 -256.76315940 3.08444276e-112 3.53878316e-112 19184 189 -254.72008551 2.37942727e-111 2.73330559e-111 19188 190 -252.68537986 1.82026186e-110 2.09359242e-110 19192 191 -250.65902434 1.38092117e-109 1.59028041e-109 19196 192 -248.64100120 1.03892741e-108 1.19795545e-108 19200 193 -246.63129299 7.75158277e-108 8.94953822e-108 19204 194 -244.62988265 5.73577168e-107 6.63072550e-107 19208 195 -242.63675343 4.20917399e-106 4.87224654e-106 19212 196 -240.65188892 3.06346260e-105 3.55068725e-105 19216 197 -238.67527304 2.21129128e-104 2.56636000e-104 19220 198 -236.70689003 1.58308353e-103 1.83971953e-103 19224 199 -234.74672448 1.12406886e-102 1.30804081e-102 19228 200 -232.79476125 7.91625492e-102 9.22429573e-102 19232 201 -230.85098558 5.52956314e-101 6.45199271e-101 19236 202 -228.91538297 3.83100179e-100 4.47620106e-100 19240 203 -226.98793925 2.63263424e-99 3.08025434e-99 19244 204 -225.06864057 1.79444995e-98 2.10247539e-98 19248 205 -223.15747337 1.21322324e-97 1.42347078e-97 19252 206 -221.25442440 8.13625195e-97 9.55972272e-97 19256 207 -219.35948069 5.41237630e-96 6.36834857e-96 19260 208 -217.47262960 3.57138772e-95 4.20822258e-95 19264 209 -215.59385875 2.33763560e-94 2.75845786e-94 19268 210 -213.72315608 1.51779340e-93 1.79363919e-93 19272 211 -211.86050980 9.77574044e-93 1.15693796e-92 19276 212 -210.00590841 6.24586812e-92 7.40280608e-92 19280 213 -208.15934070 3.95864881e-91 4.69892942e-91 19284 214 -206.32079575 2.48895419e-90 2.95884714e-90 19288 215 -204.49026289 1.55241282e-89 1.84829754e-89 19292 216 -202.66773177 9.60555435e-89 1.14538519e-88 19296 217 -200.85319227 5.89612829e-88 7.04151348e-88 19300 218 -199.04663458 3.59041757e-87 4.29456892e-87 19304 219 -197.24804914 2.16900569e-86 2.59846258e-86 19308 220 -195.45742669 1.29992454e-85 1.55977080e-85 19312 221 -193.67475819 7.72896312e-85 9.28873392e-85 19316 222 -191.90003491 4.55904379e-84 5.48791718e-84 19320 223 -190.13324836 2.66796060e-83 3.21675232e-83 19324 224 -188.37439032 1.54896552e-82 1.87064075e-82 19328 225 -186.62345285 8.92204139e-82 1.07926821e-81 19332 226 -184.88042824 5.09859135e-81 6.17785957e-81 19336 227 -183.14530905 2.89069915e-80 3.50848511e-80 19340 228 -181.41808810 1.62601827e-79 1.97686678e-79 19344 229 -179.69875847 9.07446005e-79 1.10513268e-78 19348 230 -177.98731348 5.02448908e-78 6.12962176e-78 19352 231 -176.28374672 2.76020634e-77 3.37316851e-77 19356 232 -174.58805203 1.50443143e-76 1.84174828e-76 19360 233 -172.90022348 8.13555193e-76 9.97730021e-76 19364 234 -171.22025542 4.36503651e-75 5.36276654e-75 19368 235 -169.54814242 2.32368540e-74 2.85996205e-74 19372 236 -167.88387933 1.22731943e-73 1.51331563e-73 19376 237 -166.22746120 6.43177522e-73 7.94509085e-73 19380 238 -164.57888338 3.34425287e-72 4.13876196e-72 19384 239 -162.93814143 1.72529866e-71 2.13917485e-71 19388 240 -161.30523116 8.83137250e-71 1.09705474e-70 19392 241 -159.68014863 4.48531118e-70 5.58236592e-70 19396 242 -158.06289014 2.26026322e-69 2.81849981e-69 19400 243 -156.45345223 1.13013161e-68 1.41198159e-68 19404 244 -154.85183168 5.60665702e-68 7.01863860e-68 19408 245 -153.25802551 2.75984831e-67 3.46171217e-67 19412 246 -151.67203099 1.34795030e-66 1.69412152e-66 19416 247 -150.09384562 6.53237454e-66 8.22649606e-66 19420 248 -148.52346715 3.14107123e-65 3.96372083e-65 19424 249 -146.96089354 1.49863157e-64 1.89500366e-64 19428 250 -145.40612303 7.09452187e-64 8.98952553e-64 19432 251 -143.85915407 3.33244673e-63 4.23139928e-63 19436 252 -142.31998536 1.55315821e-62 1.97629813e-62 19440 253 -140.78861582 7.18258934e-62 9.15888747e-62 19444 254 -139.26504462 3.29579050e-61 4.21167925e-61 19448 255 -137.74927119 1.50055403e-60 1.92172195e-60 19452 256 -136.24129515 6.77887005e-60 8.70059200e-60 19456 257 -134.74111639 3.03862191e-59 3.90868111e-59 19460 258 -133.24873504 1.35148009e-58 1.74234820e-58 19464 259 -131.76415144 5.96425384e-58 7.70660204e-58 19468 260 -130.28736618 2.61165500e-57 3.38231520e-57 19472 261 -128.81838010 1.13471907e-56 1.47295059e-56 19476 262 -127.35719427 4.89185186e-56 6.36480245e-56 19480 263 -125.90380999 2.09252218e-55 2.72900243e-55 19484 264 -124.45822880 8.88132996e-55 1.16103324e-54 19488 265 -123.02045248 3.74021292e-54 4.90124616e-54 19492 266 -121.59048306 1.56287468e-53 2.05299930e-53 19496 267 -120.16832278 6.47978380e-53 8.53278310e-53 19500 268 -118.75397416 2.66565733e-52 3.51893564e-52 19504 269 -117.34743991 1.08806385e-51 1.43995741e-51 19508 270 -115.94872303 4.40665858e-51 5.84661599e-51 19512 271 -114.55782673 1.77079380e-50 2.35545540e-50 19516 272 -113.17475447 7.06038924e-50 9.41584463e-50 19520 273 -111.79950994 2.79312102e-49 3.73470548e-49 19524 274 -110.43209710 1.09635097e-48 1.46982152e-48 19528 275 -109.07252013 4.26978868e-48 5.73961020e-48 19532 276 -107.72078345 1.64990204e-47 2.22386306e-47 19536 277 -106.37689176 6.32561721e-47 8.54948026e-47 19540 278 -105.04084996 2.40623748e-46 3.26118551e-46 19544 279 -103.71266323 9.08160597e-46 1.23427915e-45 19548 280 -102.39233698 3.40073709e-45 4.63501624e-45 19552 281 -101.07987689 1.26347670e-44 1.72697832e-44 19556 282 -99.77528885 4.65739017e-44 6.38436850e-44 19560 283 -98.47857904 1.70332114e-43 2.34175799e-43 19564 284 -97.18975388 6.18053675e-43 8.52229474e-43 19568 285 -95.90882003 2.22499323e-42 3.07722270e-42 19572 286 -94.63578443 7.94696008e-42 1.10241828e-41 19576 287 -93.37065425 2.81604822e-41 3.91846650e-41 19580 288 -92.11343693 9.90016954e-41 1.38186360e-40 19584 289 -90.86414017 3.45306951e-40 4.83493312e-40 19588 290 -89.62277192 1.19488112e-39 1.67837444e-39 19592 291 -88.38934041 4.10201458e-39 5.78038901e-39 19596 292 -87.16385412 1.39707312e-38 1.97511202e-38 19600 293 -85.94632178 4.72048595e-38 6.69559797e-38 19604 294 -84.73675242 1.58232616e-37 2.25188596e-37 19608 295 -83.53515532 5.26190496e-37 7.51379091e-37 19612 296 -82.34154002 1.73589533e-36 2.48727443e-36 19616 297 -81.15591636 5.68111200e-36 8.16838643e-36 19620 298 -79.97829442 1.84445499e-35 2.66129363e-35 19624 299 -78.80868458 5.94050218e-35 8.60179581e-35 19628 300 -77.64709749 1.89799045e-34 2.75817003e-34 19632 301 -76.49354409 6.01555776e-34 8.77372779e-34 19636 302 -75.34803557 1.89131526e-33 2.76868804e-33 19640 303 -74.21058345 5.89865652e-33 8.66734456e-33 19644 304 -73.08119951 1.82489686e-32 2.69163132e-32 19648 305 -71.95989581 5.60033922e-32 8.29197053e-32 19652 306 -70.84668472 1.70480914e-31 2.53400620e-31 19656 307 -69.74157890 5.14774618e-31 7.68175237e-31 19660 308 -68.64459131 1.54181683e-30 2.30999207e-30 19664 309 -67.55573519 4.58054321e-30 6.89053529e-30 19668 310 -66.47502411 1.34978265e-29 2.03883618e-29 19672 311 -65.40247193 3.94518467e-29 5.98402085e-29 19676 312 -64.33809282 1.14372421e-28 1.74212629e-28 19680 313 -63.28190124 3.28866386e-28 5.03079016e-28 19684 314 -62.23391201 9.37897608e-28 1.44097662e-27 19688 315 -61.19414022 2.65291038e-27 4.09388700e-27 19692 316 -60.16260131 7.44242104e-27 1.15363080e-26 19696 317 -59.13931102 2.07073040e-26 3.22436120e-26 19700 318 -58.12428545 5.71404378e-26 8.93840498e-26 19704 319 -57.11754100 1.56374929e-25 2.45758978e-25 19708 320 -56.11909441 4.24411330e-25 6.70170308e-25 19712 321 -55.12896276 1.14234077e-24 1.81251108e-24 19716 322 -54.14716348 3.04919843e-24 4.86170952e-24 19720 323 -53.17371434 8.07140762e-24 1.29331171e-23 19724 324 -52.20863344 2.11874450e-23 3.41205621e-23 19728 325 -51.25193926 5.51525492e-23 8.92731113e-23 19732 326 -50.30365063 1.42364632e-22 2.31637744e-22 19736 327 -49.36378673 3.64401215e-22 5.96038958e-22 19740 328 -48.43236712 9.24890278e-22 1.52092924e-21 19744 329 -47.50941172 2.32768739e-21 3.84861662e-21 19748 330 -46.59494082 5.80863807e-21 9.65725469e-21 19752 331 -45.68897511 1.43724308e-20 2.40296854e-20 19756 332 -44.79153565 3.52600748e-20 5.92897603e-20 19760 333 -43.90264390 8.57677496e-20 1.45057510e-19 19764 334 -43.02232169 2.06844079e-19 3.51901589e-19 19768 335 -42.15059127 4.94573454e-19 8.46475043e-19 19772 336 -41.28747530 1.17240404e-18 2.01887908e-18 19776 337 -40.43299684 2.75532343e-18 4.77420251e-18 19780 338 -39.58717936 6.41957752e-18 1.11937800e-17 19784 339 -38.75004678 1.48275198e-17 2.60212998e-17 19788 340 -37.92162340 3.39506592e-17 5.99719590e-17 19792 341 -37.10193401 7.70610271e-17 1.37032986e-16 19796 342 -36.29100379 1.73387311e-16 3.10420297e-16 19800 343 -35.48885840 3.86709309e-16 6.97129606e-16 19804 344 -34.69552395 8.54919853e-16 1.55204946e-15 19808 345 -33.91102699 1.87338959e-15 3.42543905e-15 19812 346 -33.13539456 4.06893722e-15 7.49437627e-15 19816 347 -32.36865415 8.75935476e-15 1.62537310e-14 19820 348 -31.61083376 1.86891405e-14 3.49428716e-14 19824 349 -30.86196186 3.95203029e-14 7.44631745e-14 19828 350 -30.12206741 8.28232634e-14 1.57286438e-13 19832 351 -29.39117991 1.72017547e-13 3.29303985e-13 19836 352 -28.66932932 3.54053162e-13 6.83357146e-13 19840 353 -27.95654616 7.22148091e-13 1.40550524e-12 19844 354 -27.25286148 1.45959593e-12 2.86510117e-12 19848 355 -26.55830684 2.92330340e-12 5.78840457e-12 19852 356 -25.87291437 5.80144340e-12 1.15898480e-11 19856 357 -25.19671674 1.14078803e-11 2.29977283e-11 19860 358 -24.52974722 2.22262472e-11 4.52239755e-11 19864 359 -23.87203961 4.29047057e-11 8.81286812e-11 19868 360 -23.22362832 8.20552496e-11 1.70183931e-10 19872 361 -22.58454836 1.55473105e-10 3.25657035e-10 19876 362 -21.95483534 2.91834184e-10 6.17491219e-10 19880 363 -21.33452548 5.42666871e-10 1.16015809e-09 19884 364 -20.72365565 9.99610266e-10 2.15976836e-09 19888 365 -20.12226333 1.82394640e-09 3.98371476e-09 19892 366 -19.53038668 3.29655887e-09 7.28027363e-09 19896 367 -18.94806451 5.90146914e-09 1.31817428e-08 19900 368 -18.37533631 1.04638821e-08 2.36456249e-08 19904 369 -17.81224226 1.83755979e-08 4.20212227e-08 19908 370 -17.25882323 3.19586411e-08 7.39798639e-08 19912 371 -16.71512084 5.50446676e-08 1.29024531e-07 19916 372 -16.18117741 9.38866710e-08 2.22911202e-07 19920 373 -15.65703601 1.58575342e-07 3.81486545e-07 19924 374 -15.14274048 2.65210900e-07 6.46697445e-07 19928 375 -14.63833542 4.39189251e-07 1.08588670e-06 19932 376 -14.14386624 7.20106843e-07 1.80599354e-06 19936 377 -13.65937915 1.16897981e-06 2.97497335e-06 19940 378 -13.18492117 1.87871755e-06 4.85369090e-06 19944 379 -12.72054018 2.98909415e-06 7.84278505e-06 19948 380 -12.26628490 4.70782329e-06 1.25506083e-05 19952 381 -11.82220496 7.33975599e-06 1.98903643e-05 19956 382 -11.38835085 1.13266653e-05 3.12170297e-05 19960 40 residue win 383 -10.96477399 1.73005202e-05 4.85175498e-05 19964 384 -10.55152674 2.61535207e-05 7.46710705e-05 19968 385 -10.14866242 3.91283842e-05 1.13799455e-04 19972 386 -9.75623530 5.79323098e-05 1.71731764e-04 19976 387 -9.37430069 8.48775701e-05 2.56609335e-04 19980 388 -9.00291490 1.23050601e-04 3.79659936e-04 19984 389 -8.64213528 1.76509603e-04 5.56169538e-04 19988 390 -8.29202026 2.50507859e-04 8.06677397e-04 19992 391 -7.95262938 3.51736099e-04 1.15841350e-03 19996 392 -7.62402328 4.88572208e-04 1.64698570e-03 20000 no residue win 393 -7.30626375 6.71320592e-04 2.31830630e-03 20004 394 -6.99941377 9.12416693e-04 3.23072299e-03 20008 395 -6.70353752 1.22656522e-03 4.45728821e-03 20012 396 -6.41870040 1.63077422e-03 6.08806243e-03 20016 397 -6.14496909 2.14424217e-03 8.23230461e-03 20020 398 -5.88241157 2.78805358e-03 1.10203582e-02 20024 399 -5.63109714 3.58464032e-03 1.46049985e-02 20028 400 -5.39109647 4.55697400e-03 1.91619725e-02 20032 401 -5.16248163 5.72746857e-03 2.48894411e-02 20036 402 -4.94532612 7.11659341e-03 3.20060345e-02 20040 403 -4.73970492 8.74122516e-03 4.07472596e-02 20044 404 -4.54569452 1.06127994e-02 5.13600590e-02 20048 405 -4.36337296 1.27353592e-02 6.40954182e-02 20052 406 -4.19281989 1.51036342e-02 7.91990524e-02 20056 407 -4.03411659 1.77013108e-02 9.69003632e-02 20060 408 -3.88734601 2.04996798e-02 1.17400043e-01 20064 409 -3.75259287 2.34568463e-02 1.40856889e-01 20068 410 -3.62994365 2.65176787e-02 1.67374568e-01 20072 411 -3.51948665 2.96146339e-02 1.96989202e-01 20076 412 -3.42131209 3.26695415e-02 2.29658743e-01 20080 413 -3.33551210 3.55963527e-02 2.65255096e-01 20084 414 -3.26218083 3.83047708e-02 3.03559867e-01 20088 415 -3.20141447 4.07045878e-02 3.44264455e-01 20092 416 -3.15331136 4.27104629e-02 3.86974917e-01 20096 417 -3.11797199 4.42468105e-02 4.31221728e-01 20100 418 -3.09549913 4.52524198e-02 4.76474148e-01 20104 419 -3.08599787 4.56844238e-02 5.22158572e-01 20108 peak probability 420 -3.08957570 4.55212652e-02 5.67679837e-01 20112 421 -3.10634256 4.47643795e-02 6.12444216e-01 20116 422 -3.13641097 4.34384204e-02 6.55882637e-01 20120 423 -3.17989608 4.15899770e-02 6.97472614e-01 20124 424 -3.23691577 3.92848722e-02 7.36757486e-01 20128 425 -3.30759072 3.66042573e-02 7.73361743e-01 20132 426 -3.39204456 3.36398281e-02 8.07001571e-01 20136 427 -3.49040388 3.04885561e-02 8.37490127e-01 20140 428 -3.60279842 2.72473661e-02 8.64737494e-01 20144 429 -3.72936114 2.40081688e-02 8.88745662e-01 20148 430 -3.87022835 2.08536071e-02 9.09599269e-01 20152 431 -4.02553979 1.78537842e-02 9.27453054e-01 20156 432 -4.19543883 1.50641304e-02 9.42517184e-01 20160 433 -4.38007252 1.25244503e-02 9.55041634e-01 20164 434 -4.57959181 1.02590831e-02 9.65300717e-01 20168 435 -4.79415162 8.27801878e-03 9.73578736e-01 20172 436 -5.02391104 6.57874658e-03 9.80157483e-01 20176 437 -5.26903350 5.14858428e-03 9.85306067e-01 20180 438 -5.52968690 3.96723104e-03 9.89273298e-01 20184 439 -5.80604382 3.00931192e-03 9.92282610e-01 20188 440 -6.09828171 2.24672493e-03 9.94529335e-01 20192 441 -6.40658307 1.65065505e-03 9.96179990e-01 20196 442 -6.73113568 1.19317712e-03 9.97373167e-01 20200 443 -7.07213281 8.48421655e-04 9.98221589e-01 20204 444 -7.42977347 5.93321901e-04 9.98814911e-01 20208 445 -7.80426265 4.07992138e-04 9.99222903e-01 20212 446 -8.19581159 2.75806345e-04 9.99498709e-01 20216 447 -8.60463804 1.83253880e-04 9.99681963e-01 20220 448 -9.03096661 1.19646786e-04 9.99801610e-01 20224 449 -9.47502902 7.67444860e-05 9.99878354e-01 20228 450 -9.93706448 4.83490262e-05 9.99926703e-01 20232 451 -10.41732003 2.99099297e-05 9.99956613e-01 20236 452 -10.91605095 1.81643268e-05 9.99974778e-01 20240 453 -11.43352112 1.08264199e-05 9.99985604e-01 20244 454 -11.97000348 6.33130946e-06 9.99991935e-01 20248 455 -12.52578049 3.63180609e-06 9.99995567e-01 20252 456 -13.10114463 2.04289092e-06 9.99997610e-01 20256 457 -13.69639894 1.12649565e-06 9.99998737e-01 20260 458 -14.31185754 6.08750379e-07 9.99999345e-01 20264 459 -14.94784631 3.22279613e-07 9.99999668e-01 20268 460 -15.60470349 1.67094973e-07 9.99999835e-01 20272 461 -16.28278041 8.48161035e-08 9.99999920e-01 20276 462 -16.98244227 4.21326748e-08 9.99999962e-01 20280 463 -17.70406893 2.04748420e-08 9.99999982e-01 20284 464 -18.44805578 9.72996261e-09 9.99999992e-01 20288 465 -19.21481478 4.51972457e-09 9.99999996e-01 20292 466 -20.00477542 2.05133422e-09 9.99999998e-01 20296 467 -20.81838588 9.09263776e-10 9.99999999e-01 20300 468 -21.65611429 3.93431441e-10 1.00000000e+00 20304 469 -22.51845003 1.66096856e-10 1.00000000e+00 20308 470 -23.40590521 6.83824289e-11 1.00000000e+00 20312 471 -24.31901629 2.74400830e-11 1.00000000e+00 20316 472 -25.25834581 1.07260494e-11 1.00000000e+00 20320 473 -26.22448435 4.08179469e-12 1.00000000e+00 20324 474 -27.21805263 1.51129740e-12 1.00000000e+00 20328 475 -28.23970388 5.44067064e-13 1.00000000e+00 20332 476 -29.29012642 1.90309173e-13 1.00000000e+00 20336 477 -30.37004658 6.46333039e-14 1.00000000e+00 20340 478 -31.48023185 2.12965384e-14 1.00000000e+00 20344 479 -32.62149453 6.80244338e-15 1.00000000e+00 20348 480 -33.79469567 2.10450592e-15 1.00000000e+00 20352 481 -35.00074964 6.30039195e-16 1.00000000e+00 20356 482 -36.24062916 1.82345369e-16 1.00000000e+00 20360 483 -37.51537103 5.09660968e-17 1.00000000e+00 20364 484 -38.82608271 1.37418918e-17 1.00000000e+00 20368 485 -40.17394969 3.57005849e-18 1.00000000e+00 20372 486 -41.56024406 8.92514622e-19 1.00000000e+00 20376 487 -42.98633424 2.14423431e-19 1.00000000e+00 20380 488 -44.45369643 4.94316311e-20 1.00000000e+00 20384 489 -45.96392769 1.09174155e-20 1.00000000e+00 20388 490 -47.51876147 2.30602551e-21 1.00000000e+00 20392 491 -49.12008575 4.64962373e-22 1.00000000e+00 20396 492 -50.76996463 8.93067973e-23 1.00000000e+00 20400 493 -52.47066413 1.63034721e-23 1.00000000e+00 20404 494 -54.22468327 2.82175479e-24 1.00000000e+00 20408 495 -56.03479188 4.61741693e-25 1.00000000e+00 20412 496 -57.90407707 7.12162087e-26 1.00000000e+00 20416 497 -59.83600097 1.03170363e-26 1.00000000e+00 20420 498 -61.83447345 1.39839347e-27 1.00000000e+00 20424 499 -63.90394482 1.76550679e-28 1.00000000e+00 20428 500 -66.04952617 2.06564294e-29 1.00000000e+00 20432 501 -68.27714822 2.22644149e-30 1.00000000e+00 20436 502 -70.59377567 2.19539550e-31 1.00000000e+00 20440 503 -73.00770335 1.96407152e-32 1.00000000e+00 20444 504 -75.52897765 1.57827176e-33 1.00000000e+00 20448 505 -78.17001714 1.12510462e-34 1.00000000e+00 20452 506 -80.94656626 7.00410977e-36 1.00000000e+00 20456 507 -83.87924040 3.72999929e-37 1.00000000e+00 20460 508 -86.99620654 1.65206661e-38 1.00000000e+00 20464 509 -90.33828280 5.84227879e-40 1.00000000e+00 20468 510 -93.97000384 1.54648556e-41 1.00000000e+00 20472 511 -98.00914885 2.72375148e-43 1.00000000e+00 20476 512 -102.74339608 2.39392220e-45 1.00000000e+00 20480 average score = 20107.6363636792