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# Ponder This

Welcome to our monthly puzzles.
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## February 2022 - Solution

February 2022 Challenge

For 200 digits, one possible solution is

1000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

With the 102 pairs

[(192, 294), (195, 293), (196, 290), (201, 289), (204, 287), (211, 281), (212, 278), (218, 275), (221, 274), (223, 271), (229, 267), (231, 266), (233, 263), (234, 262), (236, 260), (240, 258), (242, 256), (244, 253), (251, 248), (252, 247), (255, 245), (260, 236), (261, 235), (263, 232), (268, 228), (270, 224), (283, 218), (286, 215), (295, 209), (300, 207), (301, 206), (308, 200), (313, 198), (315, 194), (317, 190), (322, 181), (327, 180), (329, 178), (331, 177), (333, 175), (337, 169), (339, 167), (341, 163), (346, 162), (348, 160), (350, 157), (354,155), (357, 151), (363, 148), (365, 146), (368, 144), (370, 141), (371, 138), (378, 136), (379, 134), (380, 131), (383, 129), (385, 128), (389, 123), (393, 120), (398, 118), (400, 117), (405, 112), (408, 110), (410, 108), (411, 104), (412, 103), (414, 98), (422, 96), (426, 92), (427, 91), (429, 89), (432, 87), (436, 82), (437, 81), (440, 77), (442, 75), (447, 70), (450, 65), (457, 62), (464, 59), (466, 57), (470, 55), (471, 53), (472, 50), (478, 48), (479, 45), (489, 40), (495, 34), (496, 33), (498, 27), (502, 25), (503, 22), (510, 19), (512, 15), (513, 12), (516, 8), (519, 7), (520, 6), (524, 2), (525, 1), (527, 0)]

For 300 digits, one possible solution is

10000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

With the 151 pairs

[(294, 440), (297, 438), (303, 433), (306, 431), (311, 429), (314, 425), (318, 424), (319, 422), (320, 420), (321, 417), (326, 415), (330, 412), (334, 410), (336, 409), (337, 406), (339, 404), (343, 402), (349, 395), (358, 391), (359, 390), (361, 387), (369, 381), (373, 378), (374, 373), (378, 370), (383, 368), (389, 363), (391, 362), (394, 354), (401, 352), (402, 350), (403, 349), (405, 348), (410, 342), (415, 339), (420, 337), (422, 334), (423, 332), (424, 329), (427, 328), (431, 324), (434, 323), (435, 322), (439, 319), (441, 318), (446,313), (447, 312), (451, 308), (452, 307), (454, 304), (457, 303), (463, 299), (467, 294), (469, 290), (472, 285), (484, 281), (485, 278), (488, 277), (489, 274), (500, 269), (501, 268), (503, 265), (508, 263), (509, 260), (517, 254), (523, 251), (526, 248), (532, 246), (533, 243), (535, 242), (537, 236), (544, 234), (548, 229), (560, 224), (566, 221), (573, 215), (585, 205), (589, 201), (595, 199), (597, 196), (598, 195), (600, 194), (605, 189), (607, 186), (609, 184), (614, 180), (619, 175), (624, 174), (626, 172), (627, 170), (628, 169), (630, 155), (635, 154), (637, 152), (638, 151), (641, 148), (642, 145), (650, 139), (653, 138), (656, 136), (660, 130), (664, 127), (669, 123), (671, 121), (675, 118), (679, 116), (680, 113), (688, 108), (691, 107), (692,104), (699, 101), (702, 98), (706, 94), (713, 92), (714, 91), (716, 88), (720, 85), (725, 83), (728, 81), (729, 80), (732, 78), (735, 75), (736, 74), (740, 71), (741, 68), (746, 66), (747, 63), (756, 59), (760, 57), (763, 53), (765, 50), (768, 49), (770, 46), (773, 45), (774, 44), (776, 41), (777, 40), (779, 35), (782, 34), (786, 29), (790, 24), (793, 23), (799, 18), (802, 17), (803, 16), (805, 12), (813, 9), (817, 6), (819, 3), (822, 1), (825, 0)]