Examination of frame patterns in rotationally symmetrical XOR-triangles that have central zero triangles. Michael Thomas De Vlieger, St. Louis, Missouri. 2020 0513. We abbreviate XOR-triangle using seed n as T(n), "rotationally symmetrical XOR-triangle" as RST, "zero triangle" as ZT, and "central zero triangle" as CZT. j = frame width = A334796(i). i = index of n in A334769. n = number, converted to binary, that generates T(n). n_16 = hexadecimal expansion of n. k = side length of CZT in RST T(n). A333624(n): write the number of ZTs at the k-th place, where k is the side length of the ZT. For instance, the first entry pertains to T(151), shown below, with n = 151 (hexadecimal "97") the first term in A334769, having a CZT with side length k = A334770(1) = 2 and frame width j = A334796(1) = 2, having 3 zero triangles of side length 1, and 4 of side length 2. 1 . . 1 . 1 1 1 1 . 1 1 1 . . 1 1 . . 1 . . 1 . 1 1 1 1 1 . . . 1 . 1 1 Table, complete through the smallest 10000 terms of A334556: j i n n_16 k A333624(n) ---------------------------------------------------- 2 1 151 97 2 3, 4 2 2 233 e9 2 3, 4 2 4 599 257 4 6, 3, 0, 1 2 5 937 3a9 4 6, 3, 0, 1 2 12 2391 957 6 9, 3, 0, 0, 0, 1 2 13 3753 ea9 6 9, 3, 0, 0, 0, 1 2 16 9559 2557 8 12, 3, 0, 0, 0, 0, 0, 1 2 17 15017 3aa9 8 12, 3, 0, 0, 0, 0, 0, 1 2 26 38231 9557 10 15, 3, 0, 0, 0, 0, 0, 0, 0, 1 2 31 60073 eaa9 10 15, 3, 0, 0, 0, 0, 0, 0, 0, 1 2 34 152919 25557 12 18, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 39 240297 3aaa9 12 18, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 50 611671 95557 14 21, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 55 961193 eaaa9 14 21, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 58 2446679 255557 16 24, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 63 3844777 3aaaa9 16 24, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 74 9786711 955557 18 27, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 79 15379113 eaaaa9 18 27, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 82 39146839 2555557 20 30, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 87 61516457 3aaaaa9 20 30, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 108 156587351 9555557 22 33, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 117 246065833 eaaaaa9 22 33, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 140 626349399 25555557 24 36, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 149 984263337 3aaaaaa9 24 36, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 174 2505397591 95555557 26 39, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 179 3937053353 eaaaaaa9 26 39, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 188 10021590359 255555557 28 42, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 197 15748213417 3aaaaaaa9 28 42, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 220 40086361431 955555557 30 45, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 2 235 62992853673 eaaaaaaa9 30 45, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 3 543 21f 1 1, 0, 0, 3 3 6 993 3e1 1 1, 0, 0, 3 3 7 1379 563 2 9, 1, 3 3 8 1483 5cb 2 6, 7 3 9 1589 635 2 9, 1, 3 3 10 1693 69d 2 6, 7 3 11 2359 937 3 9, 6, 1 3 14 3785 ec9 3 9, 6, 1 3 15 8607 219f 5 3, 3, 0, 3, 1 3 18 15969 3e61 5 3, 3, 0, 3, 1 3 19 22115 5663 6 12, 3, 3, 0, 0, 1 3 20 23755 5ccb 6 9, 9, 0, 0, 0, 1 3 21 25397 6335 6 12, 3, 3, 0, 0, 1 3 24 27037 699d 6 9, 9, 0, 0, 0, 1 3 25 37687 9337 7 12, 9, 0, 0, 0, 0, 1 3 32 60617 ecc9 7 12, 9, 0, 0, 0, 0, 1 3 33 137631 2199f 9 6, 6, 0, 3, 0, 0, 0, 0, 1 3 40 255585 3e661 9 6, 6, 0, 3, 0, 0, 0, 0, 1 3 41 353891 56663 10 15, 6, 3, 0, 0, 0, 0, 0, 0, 1 3 44 380107 5cccb 10 12,12, 0, 0, 0, 0, 0, 0, 0, 1 3 45 406325 63335 10 15, 6, 3, 0, 0, 0, 0, 0, 0, 1 3 48 432541 6999d 10 12,12, 0, 0, 0, 0, 0, 0, 0, 1 3 49 602935 93337 11 15,12, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 56 969929 eccc9 11 15,12, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 57 2202015 21999f 13 9, 9, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 64 4089441 3e6661 13 9, 9, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 65 5662307 566663 14 18, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 68 6081739 5ccccb 14 15,15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 69 6501173 633335 14 18, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 72 6920605 69999d 14 15,15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 73 9646903 933337 15 18,15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 80 15518921 ecccc9 15 18,15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 81 35232159 219999f 17 12,12, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 88 65431137 3e66661 17 12,12, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 89 90596963 5666663 18 21,12, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 94 97307851 5cccccb 18 18,18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 99 104018741 6333335 18 21,12, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 104 110729629 699999d 18 18,18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 106 154350391 9333337 19 21,18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 119 248302793 eccccc9 19 21,18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 138 563714463 2199999f 21 15,15, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 151 1046898273 3e666661 21 15,15, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 157 1449551459 56666663 22 24,15, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 160 1556925643 5ccccccb 22 21,21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 161 1664299829 63333335 22 24,15, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 164 1771674013 6999999d 22 21,21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 173 2469606199 93333337 23 24,21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 180 3972844745 ecccccc9 23 24,21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 186 9019431327 21999999f 25 18,18, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 199 16750372449 3e6666661 25 18,18, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 201 23192823395 566666663 26 27,18, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 206 24910810315 5cccccccb 26 24,24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 211 26628797237 633333335 26 27,18, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 216 28346784157 69999999d 26 24,24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 218 39513699127 933333337 27 27,24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 3 237 63565515977 eccccccc9 27 27,24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 22 25525 63b5 3 18, 3, 4 4 23 26909 691d 3 12, 6, 4 4 27 39047 9887 4 6, 3, 3, 4 4 28 40679 9ee7 4 6, 9, 3, 1 4 29 57625 e119 4 6, 3, 3, 4 4 30 59257 e779 4 6, 9, 3, 1 4 35 171475 29dd3 6 12,15, 0, 0, 0, 1 4 36 184603 2d11b 6 18, 3, 6, 0, 0, 1 4 37 208613 32ee5 6 12,15, 0, 0, 0, 1 4 38 221741 3622d 6 18, 3, 6, 0, 0, 1 4 42 356067 56ee3 7 24, 6, 3, 0, 0, 0, 1 4 43 377931 5c44b 7 15, 6, 6, 0, 0, 0, 1 4 46 408501 63bb5 7 24, 6, 3, 0, 0, 0, 1 4 47 430365 6911d 7 15, 6, 6, 0, 0, 0, 1 4 51 624775 98887 8 9, 3, 6, 3, 0, 0, 0, 1 4 52 650983 9eee7 8 12,12, 3, 0, 0, 0, 0, 1 4 53 921881 e1119 8 9, 3, 6, 3, 0, 0, 0, 1 4 54 948089 e7779 8 12,12, 3, 0, 0, 0, 0, 1 4 59 2743763 29ddd3 10 18,18, 0, 0, 0, 0, 0, 0, 0, 1 4 60 2953499 2d111b 10 21, 3, 9, 0, 0, 0, 0, 0, 0, 1 4 61 3337957 32eee5 10 18,18, 0, 0, 0, 0, 0, 0, 0, 1 4 62 3547693 36222d 10 21, 3, 9, 0, 0, 0, 0, 0, 0, 1 4 66 5697251 56eee3 11 30, 9, 3, 0, 0, 0, 0, 0, 0, 0, 1 4 67 6046795 5c444b 11 18, 6, 9, 0, 0, 0, 0, 0, 0, 0, 1 4 70 6536117 63bbb5 11 30, 9, 3, 0, 0, 0, 0, 0, 0, 0, 1 4 71 6885661 69111d 11 18, 6, 9, 0, 0, 0, 0, 0, 0, 0, 1 4 75 9996423 988887 12 12, 3, 9, 3, 0, 0, 0, 0, 0, 0, 0, 1 4 76 10415847 9eeee7 12 18,15, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 77 14749977 e11119 12 12, 3, 9, 3, 0, 0, 0, 0, 0, 0, 0, 1 4 78 15169401 e77779 12 18,15, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 83 43900371 29dddd3 14 24,21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 84 47255835 2d1111b 14 24, 3,12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 85 53407461 32eeee5 14 24,21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 86 56762925 362222d 14 24, 3,12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 90 91156195 56eeee3 15 36,12, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 93 96748619 5c4444b 15 21, 6,12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 100 104577973 63bbbb5 15 36,12, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 103 110170397 691111d 15 21, 6,12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 109 159942791 9888887 16 15, 3,12, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 111 166653671 9eeeee7 16 24,18, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 114 235999513 e111119 16 15, 3,12, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 116 242710393 e777779 16 24,18, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 142 702406099 29ddddd3 18 30,24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 144 756093211 2d11111b 18 27, 3,15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 145 854519525 32eeeee5 18 30,24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 147 908206637 3622222d 18 27, 3,15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 158 1458499299 56eeeee3 19 42,15, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 159 1547977803 5c44444b 19 24, 6,15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 162 1673247669 63bbbbb5 19 42,15, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 163 1762726173 6911111d 19 24, 6,15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 175 2559084679 98888887 20 18, 3,15, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 176 2666458855 9eeeeee7 20 30,21, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 177 3775992089 e1111119 20 18, 3,15, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 178 3883366265 e7777779 20 30,21, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 190 11238497747 29dddddd3 22 36,27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 192 12097491227 2d111111b 22 30, 3,18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 193 13672312549 32eeeeee5 22 36,27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 195 14531306029 36222222d 22 30, 3,18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 202 23335988963 56eeeeee3 23 48,18, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 205 24767644747 5c444444b 23 27, 6,18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 212 26771962805 63bbbbbb5 23 48,18, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 215 28203618589 69111111d 23 27, 6,18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 221 40945354887 988888887 24 21, 3,18, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 223 42663341799 9eeeeeee7 24 36,24, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 226 60415873305 e11111119 24 21, 3,18, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 4 232 62133860217 e77777779 24 36,24, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 91 91534499 574b4a3 12 30,18, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 92 92027939 57c3c23 12 18, 0, 6, 9, 0, 0, 0, 0, 0, 0, 0, 1 5 95 97949323 5d6968b 12 36,15, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 96 98442763 5de1e0b 12 21, 3, 6, 3, 3, 0, 0, 0, 0, 0, 0, 1 5 97 102883829 621e1f5 12 18, 0, 6, 9, 0, 0, 0, 0, 0, 0, 0, 1 5 98 103377269 6296975 12 30,18, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 101 109298653 683c3dd 12 21, 3, 6, 3, 3, 0, 0, 0, 0, 0, 0, 1 5 102 109792093 68b4b5d 12 36,15, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 105 153462199 925a5b7 13 51,21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 107 155435991 943c3d7 13 21, 3, 9, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 110 161357319 99e1e07 13 12, 6, 6, 3, 0, 3, 0, 0, 0, 0, 0, 0, 1 5 112 167278695 9f87867 13 12, 6, 3, 6, 3, 0, 0, 0, 0, 0, 0, 0, 1 5 113 235374489 e078799 13 12, 6, 6, 3, 0, 3, 0, 0, 0, 0, 0, 0, 1 5 115 241295865 e61e1f9 13 12, 6, 3, 6, 3, 0, 0, 0, 0, 0, 0, 0, 1 5 118 247217193 ebc3c29 13 21, 3, 9, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 120 249190985 eda5a49 13 51,21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 121 287186447 111e1e0f 14 15, 0,12, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 122 301002991 11f0f0ef 14 18, 3, 6, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 123 324688455 135a5a47 14 39,18, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 124 330609831 13b4b4a7 14 36,24, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 125 342452595 14696973 14 30,27, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 126 344426387 14878793 14 18,12, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 127 372059451 162d2d3b 14 36,24, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 128 381928411 16c3c3db 14 36, 3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 129 423377957 193c3c25 14 18,12, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 130 433246917 19d2d2c5 14 30,27, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 131 460879981 1b78786d 14 36, 3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 132 462853773 1b96968d 14 36,24, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 133 474696537 1c4b4b59 14 39,18, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 134 480617913 1ca5a5b9 14 36,24, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 135 504303377 1e0f0f11 14 15, 0,12, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 136 518119921 1ee1e1f1 14 18, 3, 6, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 137 562530207 2187879f 15 12, 3, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 139 625691479 254b4b57 15 42,18, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 141 700695507 29c3c3d3 15 21,12, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 143 755961627 2d0f0f1b 15 30, 3, 9, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 146 854651109 32f0f0e5 15 21,12, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 148 909917229 363c3c2d 15 30, 3, 9, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 150 984921257 3ab4b4a9 15 42,18, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 152 1048082529 3e787861 15 12, 3, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 153 1093479743 412d2d3f 16 33,24, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 154 1101374911 41a5a5bf 16 39,21, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 155 1259278103 4b0f0f17 16 21, 9, 9, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 156 1267173271 4b878797 16 18,15, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 165 1954052201 74787869 16 21, 9, 9, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 166 1961947369 74f0f0e9 16 18,15, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 167 2119850561 7e5a5a41 16 33,24, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 168 2127745729 7ed2d2c1 16 39,21, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 194 13800740485 336969685 19 54,24, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 196 14937643597 37a5a5a4d 19 51,27, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 198 15885062857 3b2d2d2c9 19 45,30, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 200 17148288513 3fe1e1e01 19 15, 0, 6, 6, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 203 23432836259 574b4b4a3 20 45,27, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 204 23559158819 57c3c3c23 20 24, 0, 9,12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 207 25075029643 5d696968b 20 51,24, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 208 25201352203 5de1e1e0b 20 27, 3, 9, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 209 26338255349 621e1e1f5 20 24, 0, 9,12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 210 26464577909 629696975 20 45,27, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 213 27980448733 683c3c3dd 20 27, 3, 9, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 214 28106771293 68b4b4b5d 20 51,24, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 217 39286318519 925a5a5b7 21 66,30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 219 39791608791 943c3c3d7 21 27, 3,12, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 222 41307479559 99e1e1e07 21 18, 6, 9, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 224 42823350375 9f8787867 21 18, 6, 6, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 225 60255864729 e07878799 21 18, 6, 9, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 231 61771735545 e61e1e1f9 21 18, 6, 6, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 236 63287606313 ebc3c3c29 21 27, 3,12, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 238 63792896585 eda5a5a49 21 66,30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 241 73519734287 111e1e1e0f 22 21, 0,15, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 244 77056766191 11f0f0f0ef 22 24, 3, 9,12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 5 245 83120249415 135a5a5a47 22 54,27, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 6 227 60874845273 e2c6c6c59 18 48,27,12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 6 228 61119068889 e3afafad9 18 48, 9,12, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 6 229 61371714105 e4a0a0a39 18 30,15,12, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 6 230 61683309753 e5c9c9cb9 18 24,57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 6 233 62298079593 e81414169 18 36, 9, 6, 0, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 6 234 62677047273 e97d7d7e9 18 39,12, 6, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 6 239 64007644937 ee7272709 18 30,42, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 6 240 64184496521 ef1b1b189 18 51,15,18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 6 242 74067132047 113ebebe8f 19 36, 9,12, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 6 243 76509368431 11d050506f 19 36, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 6 246 83667647175 137afafac7 19 48, 6,15, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 eof