zerostratos/wiki_ppl · Datasets at Hugging Face

input_ids sequencelengths 1 1	attention_mask sequencelengths 2.05k 2.05k	ppl float64 1.08 89.3
[ [ 128000, 36779, 13581, 18137, 3507, 7767, 39015, 100403, 101744, 101774, 102975, 101831, 102425, 100801, 23526, 104033, 122667, 11, 23526, 100944, 105128, 48842, 103253, 104140, 79328, 65161, 98583, 29876, 101291, 100447, 103847, 104710, 13, 116170, 101774, 97635, 108468, 102869, 100725, 25, 102673, 104628, 11, 104300, 107992, 48842, 79328, 103357, 101218, 100690, 100944, 96182, 13, 111559, 100790, 220, 9591, 101744, 101774, 65161, 98583, 48842, 220, 2397, 13, 931, 65161, 98583, 59801, 101121, 11, 3507, 7767, 103253, 104140, 100557, 390, 100524, 105688, 100540, 70186, 107072, 101239, 8191, 13, 386, 102253, 26883, 103839, 29876, 100540, 103765, 102874, 100683, 3997, 60835, 3507, 7767, 382, 36779, 13581, 110166, 100788, 105798, 102711, 109701, 6652, 11, 11162, 11, 107559, 108039, 48842, 45345, 11, 666, 126083, 328, 100975, 13, 112553, 101975, 98583, 60835, 101176, 103253, 104140, 101194, 220, 9591, 101744, 101774, 65161, 98583, 48842, 101194, 220, 2397, 13, 931, 59801, 101121, 13, 107842, 98583, 101717, 29876, 100540, 101781, 103190, 100403, 26883, 125708, 60835, 101744, 101774, 113346, 101036, 101740, 102984, 101535, 102915, 104672, 13, 124722, 103091, 101744, 101774, 29876, 101833, 220, 1954, 26883, 125708, 100790, 101887, 101582, 102790, 382, 45, 6151, 26298, 76, 101615, 48842, 104495, 112957, 102425, 100801, 198, 33, 100766, 104673, 11, 106607, 119314, 2665, 100930, 101580, 102454, 11, 106335, 106513, 48842, 100886, 100610, 8191, 64578, 109146, 104033, 101071, 2665, 105329, 100524, 100790, 101887, 101582, 102790, 382, 120069, 102695, 198, 43, 100954, 100886, 8191, 271, 1016, 309, 105793, 271, 46521, 28119, 101325, 102507, 27907, 720, 3507, 7767, 101798, 31074, 198, 358, 43339, 323, 279, 8191, 13581, 482, 126573, 8191, 17005, 5546, 11994, 48842, 3507, 7767, 11, 103900, 60835, 650, 396, 28764, 69, 220, 972, 14, 22, 14, 2550, 20, 198, 445, 529, 64561, 4514, 38135, 409, 445, 332, 668, 2140, 265, 1208, 34711, 99495, 13109, 101764, 105438, 198, 3142, 25074, 33212, 271, 36779, 198, 51, 61357, 101774, 102975, 101831, 198, 51, 61357, 101774, 23526, 104033, 122667, 198, 46451, 102069, 104628, 8191, 198, 47888, 102585, 100906, 100631, 220, 2550, 17, 198, 2232, 41807, 101226, 8191, 128000, 46451, 27160, 983, 101798, 11, 101004, 105475, 39015, 103824, 101798, 31074, 18137, 101798, 110204, 39015, 119271, 110204, 60835, 100524, 101798, 48842, 39015, 119271, 110204, 100944, 102004, 100683, 101798, 31074, 13, 110992, 39015, 103824, 108527, 15199, 101498, 60835, 104988, 220, 5313, 4, 101724, 110720, 101798, 31074, 101708, 100409, 101194, 220, 19, 106002, 100524, 101798, 20548, 41038, 84, 13, 124942, 101798, 101717, 39015, 119271, 110204, 103421, 47151, 60835, 79328, 101724, 114227, 119293, 66626, 100683, 101798, 31074, 48842, 39015, 119271, 110204, 101724, 114227, 119293, 66626, 64578, 63129, 101627, 100683, 116657, 107575, 328, 20243, 382, 35, 103416, 100790, 95676, 104029, 983, 101126, 101764, 11, 103824, 101798, 64578, 101909, 101278, 39015, 100403, 119271, 110204, 102962, 110204, 102165, 31074, 43912, 13, 124942, 101798, 39015, 119271, 110204, 29876, 100937, 100524, 102811, 101071, 70186, 110204, 102165, 97635, 320, 77, 6151, 41038, 84, 101194, 105596, 66626, 100524, 102811, 60835, 105478, 100970, 79328, 119271, 110204, 101717, 86952, 70186, 110204, 102165, 570, 110780, 101798, 31074, 102962, 650, 89871, 103353, 116361, 108625, 43912, 11, 103824, 101798, 101004, 107892, 100937, 102620, 105579, 100690, 95676, 103824, 473, 11644, 11, 656, 103453, 39015, 119271, 110204, 29876, 106844, 101643, 104256, 101239, 101071, 100409, 79328, 119271, 110204, 101419, 70186, 110204, 102165, 31074, 43912, 382, 43, 100954, 100886, 720, 110798, 362, 13, 480, 13, 473, 8039, 2265, 29686, 101982, 104672, 95676, 100631, 220, 6280, 19, 11, 108442, 119271, 110204, 101798, 5364, 78969, 100788, 101227, 103475, 104988, 100906, 103078, 103731, 39015, 100557, 119271, 110204, 18137, 102282, 110204, 54137, 104551, 74686, 70320, 13, 126573, 33254, 11, 74625, 102759, 101291, 103115, 270, 20103, 100409, 107559, 110204, 48842, 101071, 39015, 100409, 79328, 110204, 102962, 110204, 102165, 22448, 16222, 329, 2192, 106897, 29876, 102165, 102634, 104551, 74686, 70320, 101580, 102454, 101373, 101194, 11, 102165, 102634, 104551, 74686, 70320, 70186, 103824, 101798, 101616, 100852, 48842, 29876, 104160, 296, 89416, 100558, 101120, 103091, 11, 101036, 101050, 103704, 101157, 65161, 104551, 74686, 70320, 13, 117272, 101616, 100852, 79328, 104551, 74686, 70320, 11, 104470, 100906, 104988, 101582, 111639, 103421, 30768, 320, 339, 103898, 103475, 108840, 102962, 70186, 105283, 100886, 101798, 31074, 8, 100409, 220, 18, 104551, 74686, 70320, 48842, 101580, 102454, 102695, 87239, 104988, 101582, 111639, 87915, 320, 17134, 6496, 117642, 8, 100409, 220, 21, 104551, 74686, 70320, 13, 42116, 100744, 100403, 66626, 105081, 106038, 100906, 103436, 102951, 2665, 101833, 101120, 103091, 13, 105322, 102759, 101291, 103436, 102951, 11, 79328, 105081, 106038, 107690, 436, 51583, 983, 74686, 100724, 104115, 102951, 79328, 101325, 113209, 106038, 103839, 48842, 105081, 106038, 100906, 103134, 95676, 124622, 326, 111322, 105430, 104551, 100409, 104832, 104551, 29340, 125504, 103147, 382, 53, 2483, 100533, 60835, 362, 1246, 13, 473, 8039, 2265, 29686, 382, 1305, 100494, 101227, 108361, 102962, 271, 46451, 27160, 983, 101798, 39015, 119271, 110204, 102143, 70186, 98932, 102425, 103115, 101959, 60835, 101724, 102127, 95676, 96094, 103190, 100959, 13, 110965, 72, 107240, 95676, 100906, 103078, 103731, 11, 103824, 101798, 29876, 100557, 106038, 54137, 29876, 70186, 103824, 102746, 13, 112367, 96094, 103824, 102746, 29876, 102620, 105579, 101833, 101798, 31074, 93530, 74625, 79328, 390, 102761, 48842, 103253, 104140, 79328, 112252, 107240, 101419, 103321, 11, 103824, 101798, 104470, 100906, 29876, 100557, 106038, 113039, 296, 44737, 77, 95676, 103824, 102746, 13, 104305, 101779, 107951, 43356, 122194, 921, 101853, 11, 119644, 106756, 452, 76176, 70320, 48842, 111978, 1183, 102419, 64913, 71348, 70186, 122216, 96182, 116471, 102915, 119271, 110204, 100705, 48842, 103824, 101798, 107361, 102759, 101291, 101959, 114762, 473, 11644, 1389, 101798, 65161, 220, 17, 112252, 107240, 100944, 25, 720, 110965, 72, 107240, 95676, 100906, 103078, 103731, 100725, 100906, 101227, 100893, 118018, 320, 52096, 92112, 101582, 111639, 58333, 705, 95676, 104029, 983, 103824, 473, 11644, 102620, 105579, 101833, 103824, 101798, 70186, 112252, 107240, 97635, 105475, 39015, 95676, 473, 11644, 106607, 280, 110965, 72, 107240, 95676, 101227, 100893, 118018, 320, 339, 27160, 111639, 58333, 1389, 101582, 111639, 1630, 8, 103270, 100690, 33254, 11, 95676, 104029, 983, 103824, 473, 11644, 102620, 105579, 101833, 103824, 101798, 70186, 112252, 107240, 97635, 105475, 39015, 95676, 473, 11644, 101798, 382, 125330, 473, 11644, 106607, 48842, 95676, 473, 11644, 101798, 105475, 105976, 39015, 95676, 112240, 473, 11644, 382, 16, 66626, 95676, 110204, 473, 11644, 106607, 29876, 100540, 107976, 100725, 100558, 330, 52096, 92112, 498, 330, 30528, 498, 330, 876, 27160, 498, 330, 24976, 498, 330, 65, 6496, 498, 330, 66, 9769, 498, 330, 331, 4558, 498, 330, 983, 6496, 498, 330, 331, 10610, 498, 330, 331, 17060, 498, 330, 331, 103019, 498, 330, 20218, 102493, 498, 330, 20218, 103290, 498, 330, 20218, 103939, 498, 330, 76, 109961, 498, 330, 76, 106102, 53670, 112367, 473, 11644, 106607, 39015, 100557, 95676, 112240, 473, 11644, 3930, 63672, 87239, 103824, 101798, 95676, 109387, 101194, 11, 80226, 101239, 116361, 104504, 101194, 11, 101485, 100557, 95676, 97635, 100852, 103091, 39015, 95676, 93530, 102127, 70186, 102425, 100801, 103254, 101975, 101702, 100409, 100524, 101798, 382, 39, 26298, 102634, 95676, 473, 11644, 101798, 70186, 103824, 101798, 101743, 101359, 113354, 79328, 111244, 473, 11644, 101036, 110204, 106038, 100852, 29876, 60835, 103824, 101798, 320, 83, 86475, 101781, 100558, 100524, 108211, 109602, 104752, 100610, 13728, 7910, 101702, 100409, 111244, 473, 11644, 48842, 62788, 74, 3444, 100409, 79328, 103824, 100959, 102507, 101419, 570, 124722, 103091, 29876, 220, 6393, 20, 111244, 473, 11644, 93530, 100610, 70186, 103824, 108211, 11, 101004, 29876, 104988, 220, 1049, 15, 95676, 473, 11644, 4235, 39, 89702, 93530, 100610, 13, 112553, 101406, 95676, 104029, 983, 103824, 101798, 29876, 102695, 62858, 122775, 79328, 105334, 106085, 473, 11644, 4235, 36644, 26298, 83, 13, 120452, 39015, 330, 331, 43604, 498, 330, 79920, 498, 330, 83, 87828, 498, 330, 1083, 71, 498, 330, 52096, 96063, 498, 330, 339, 100374, 498, 330, 83, 62131, 656, 498, 1131, 102644, 103731, 104485, 99227, 101419, 101359, 113354, 26, 18137, 104115, 102951, 101740, 102984, 100558, 330, 77, 6151, 26298, 83, 308, 78789, 1, 65161, 330, 77, 78789, 107421, 498, 330, 339, 100489, 120855, 1, 65161, 330, 764, 102818, 104672, 498, 330, 52096, 101649, 101677, 1, 65161, 330, 65, 100766, 104673, 53670, 26, 101535, 118983, 122446, 100558, 330, 339, 112040, 490, 70711, 1, 65161, 330, 376, 70711, 1, 320, 376, 647, 490, 70711, 100893, 705, 330, 75, 102696, 106230, 98932, 1, 65161, 330, 75, 102696, 1, 320, 376, 647, 100316, 113079, 11, 101717, 105475, 39015, 121319, 1343, 102091, 40125, 26, 101535, 113354, 523, 26298, 331, 74686, 100558, 274, 100485, 63672, 320, 331, 57073, 473, 11644, 25, 56159, 240, 17701, 8, 65161, 104180, 63672, 11, 102634, 102442, 320, 105156, 82420, 8, 65161, 102634, 108272, 11, 80768, 118521, 320, 116875, 108324, 8, 65161, 101218, 118521, 11, 101806, 110720, 320, 121078, 104157, 8, 65161, 105976, 110720, 11, 101677, 105999, 320, 33563, 16205, 250, 8, 65161, 102911, 105999, 11, 348, 121483, 106642, 320, 104198, 86354, 8, 65161, 348, 111517, 106642, 320, 107130, 86354, 705, 121000, 59965, 72, 320, 53508, 116, 107691, 8, 65161, 121000, 111105, 320, 53508, 116, 126735, 705, 348, 40492, 348, 40492, 26, 18137, 102951, 101419, 104485, 103313, 101887, 100558, 330, 764, 86475, 23526, 1, 70186, 103824, 473, 11644, 29876, 104485, 39015, 330, 99761, 272, 86242, 118196, 40425, 1, 101105, 70186, 103824, 101798, 86952, 39015, 330, 65, 89577, 102238, 498, 330, 65, 102490, 109195, 1, 70186, 103824, 473, 11644, 104485, 39015, 330, 52096, 72, 74686, 86952, 86952, 1, 29340, 103824, 101798, 65161, 330, 65, 103290, 523, 103290, 11, 114762, 100801, 53670, 126787, 101419, 11, 100524, 102746, 102173, 105475, 39015, 110420, 112525, 11, 111978, 103888, 11, 106607, 114789, 1131, 101105, 100524, 101798, 86952, 113354, 39015, 120939, 110420, 112525, 11, 117650, 111978, 103888, 11, 106510, 106607, 114789, 320, 76, 100784, 108116, 117257, 284, 120939, 11, 305, 6496, 284, 117650, 11, 114789, 284, 106510, 40125, 3234, 101624, 101050, 118259, 60835, 119271, 110204, 100920, 101338, 102176, 100744, 79328, 101359, 113354, 72732, 101419, 100409, 103824, 473, 11644, 103610, 29876, 16796, 100744, 108983, 101627, 48842, 100886, 100610, 70186, 96094, 79328, 100893, 107829, 104825, 119271, 110204, 103824, 101798, 100852, 103091, 101004, 100558, 79328, 101126, 100809, 11, 79328, 101386, 103391, 101226, 11, 101744, 101774, 103254, 101975, 1389, 110461, 101378, 124622, 79328, 100893, 102637, 100705, 101798, 31074, 29876, 100540, 104403, 103765, 64578, 103824, 102811, 105976, 70186, 100769, 104628, 116361, 101359, 100886, 100610, 105197, 107000, 48842, 95676, 104029, 983, 296, 44737, 77, 95676, 103824, 100959, 102507, 13, 121777, 106811, 100744, 11, 29876, 100557, 95676, 29876, 100540, 80226, 102143, 72732, 100558, 330, 89537, 127210, 1, 102143, 48842, 105744, 100558, 330, 385, 127210, 498, 330, 85, 101299, 120879, 1, 105744, 39015, 330, 85, 101299, 101218, 20622, 101982, 498, 330, 85, 9769, 101157, 103498, 1, 101105, 105717, 65161, 330, 85, 9769, 101157, 105976, 1, 18137, 330, 85, 9769, 101157, 86636, 498, 330, 10176, 26298, 83, 294, 3282, 1, 39015, 330, 331, 105277, 105581, 5233, 330, 376, 59912, 101779, 1, 102143, 100558, 330, 82, 100659, 101779, 498, 330, 764, 647, 104551, 1, 102143, 100558, 330, 764, 647, 1343, 29024, 498, 330, 65, 52649, 100809, 1, 102143, 100558, 330, 65, 52649, 127546, 498, 330, 52096, 100988, 116908, 1, 102143, 39015, 330, 52096, 100766, 116908, 498, 330, 339, 309, 100809, 1, 65161, 330, 339, 78454, 100809, 498, 330, 87, 11644, 326, 50986, 1, 65161, 330, 82, 100659, 326, 101181, 1, 5551, 110798, 118259, 101406, 60835, 79328, 100893, 107829, 104825, 11, 95676, 473, 11644, 101798, 115678, 104988, 100790, 104837, 220, 2031, 4, 106897, 95676, 70186, 106284, 101359, 100944, 108283, 11, 102637, 100705, 320, 44, 13671, 56771, 101105, 2665, 103456, 11, 101806, 115678, 101194, 220, 1399, 4, 101406, 95676, 103824, 101798, 570, 350, 30441, 107951, 115516, 105947, 117007, 70186, 122216, 96182, 112367, 111244, 473, 11644, 100725, 111244, 452, 95465, 101105, 2665, 103456, 100690, 109617, 104164, 103847, 107551, 48842, 102637, 100705, 102833, 104097, 97635, 29876, 100540, 102123, 100725, 220, 1490, 4, 102241, 96094, 101627, 106736, 100690, 103353, 110204, 70186, 100403, 122216, 113134, 114921, 101105, 99227, 101717, 220, 717, 11, 23, 13689, 597, 100954, 102811, 118983, 109968, 101717, 220, 23, 11, 24, 4, 48842, 119271, 110204, 102811, 111301, 305, 100948, 101120, 101717, 110099, 101194, 107109, 382, 107237, 95676, 48842, 95676, 106085, 473, 11644, 101798, 101700, 15473, 79328, 95676, 110204, 93205, 2665, 103824, 101798, 100558, 106312, 104160, 11, 23526, 63129, 11, 103253, 104140, 11, 103978, 100801, 11, 98932, 15199, 101498, 11, 348, 40492, 348, 40492, 13, 105322, 96094, 103824, 101798, 105475, 39015, 101580, 104551, 320, 103106, 113671, 8, 101105, 103824, 473, 11644, 86952, 105475, 39015, 106217, 96, 76750, 119062, 293, 1995, 26, 103824, 101798, 105475, 39015, 104208, 101157, 320, 109365, 83799, 8, 101105, 103824, 473, 11644, 105475, 39015, 110147, 103984, 101926, 101925, 26, 103824, 101798, 105475, 39015, 65161, 104290, 320, 60174, 110544, 103, 705, 101925, 103254, 320, 23530, 61337, 8, 101105, 103824, 473, 11644, 105475, 39015, 109450, 101925, 13, 124942, 101798 ] ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	12.920596
[ [ 80226, 104033, 100610, 64578, 100557, 65161, 101781, 84, 119271, 110204, 70186, 103824, 473, 11644, 80768, 101781, 109358, 104878, 102140, 382, 42, 34550, 95676, 100906, 101582, 111639, 103421, 54343, 11, 452, 6292, 100705, 101580, 102454, 11, 100769, 100705, 106607, 103353, 96095, 102502, 11, 112214, 105536, 102984, 102004, 106335, 106513, 101700, 102881, 101218, 2665, 100403, 108342, 103353, 107413, 60835, 100524, 101798, 101743, 106607, 103353, 101580, 102454, 100409, 79328, 19216, 983, 103353, 106831, 31644, 100533, 100558, 31074, 102975, 117257, 305, 6496, 103381, 117650, 120452, 17030, 105824, 320, 82, 24976, 356, 92112, 3677, 34, 89871, 101227, 101935, 97635, 11, 16796, 100744, 103933, 107000, 220, 16, 102165, 102634, 111244, 105717, 2665, 100524, 101798, 101036, 103731, 113303, 107878, 106038, 103839, 101580, 102454, 11, 100744, 39015, 111244, 452, 95465, 13, 114157, 106352, 2665, 100769, 100705, 111244, 473, 11644, 48842, 111244, 452, 95465, 60835, 100524, 101798, 11, 17030, 9769, 666, 24439, 91553, 107485, 320, 11771, 21, 4235, 5245, 18, 8, 80226, 112976, 779, 50986, 122216, 96182, 29988, 113207, 101781, 101982, 106038, 320, 66, 101240, 105475, 39015, 29988, 113207, 101781, 11, 350, 62131, 100705, 311, 41807, 105334, 570, 29988, 113207, 101781, 101982, 106038, 99227, 116368, 113480, 220, 3101, 15, 111244, 473, 11644, 11, 452, 95465, 93530, 102127, 11, 109180, 102329, 105920, 102025, 101621, 101846, 11, 112572, 111244, 11, 112572, 104485, 105389, 111244, 11, 105537, 106821, 220, 19, 111244, 13, 124254, 348, 70711, 101004, 29876, 101643, 103519, 103147, 11, 110939, 39015, 348, 70711, 326, 103533, 320, 88, 102069, 105303, 11, 348, 70711, 104807, 106821, 570, 124942, 103421, 220, 19, 106821, 100906, 15960, 26298, 79, 100409, 103824, 103421, 47151, 106821, 104837, 105757, 102880, 101582, 59965, 72, 100725, 220, 3101, 15, 111244, 11, 220, 11711, 106821, 13, 111772, 100533, 25, 114956, 1389, 112431, 11, 103077, 1389, 103033, 11, 111752, 1389, 272, 52458, 11, 113182, 1389, 101717, 11, 104386, 1389, 390, 11, 116521, 1389, 523, 116906, 11, 120593, 1389, 274, 116906, 11, 26555, 1389, 13081, 11, 96095, 1389, 100893, 11, 102975, 1389, 100959, 11, 102881, 1389, 102259, 11, 111623, 1389, 33254, 11, 7933, 101898, 1389, 490, 101208, 11, 59965, 1389, 7933, 103416, 11, 272, 62131, 1389, 272, 103416, 11, 308, 4317, 1389, 111163, 11, 105430, 1389, 523, 59697, 11, 104832, 1389, 29876, 11, 24040, 101695, 1389, 127153, 11, 119429, 1389, 294, 5615, 29775, 114184, 106422, 15754, 100485, 104174, 101383, 102224, 117111, 99227, 39015, 101050, 87982, 96182, 113480, 100705, 100289, 94, 99270, 100690, 111244, 473, 11644, 100558, 80226, 122087, 100788, 100790, 102241, 100932, 15473, 101004, 29876, 100540, 116523, 101176, 100944, 39015, 96182, 112367, 124899, 473, 11644, 101798, 93530, 102127, 48842, 109908, 103436, 100788, 107690, 101582, 111639, 53694, 23440, 11, 101708, 101227, 100409, 79328, 96182, 115652, 16854, 7933, 83126, 106038, 11, 115652, 16854, 100947, 101278, 48842, 101616, 100852, 102259, 79328, 96182, 108211, 100610, 102127, 15199, 105699, 11, 114956, 101781, 103353, 48842, 104620, 31074, 102975, 110204, 382, 1016, 103898, 108361, 102962, 720, 125330, 96094, 108361, 865, 87828, 116368, 101798, 31074, 87239, 127483, 107690, 101582, 111639, 103421, 1630, 5511, 11, 103824, 108361, 118243, 104115, 101582, 101740, 102984, 60835, 106607, 103353, 11, 103270, 65161, 119271, 110204, 100944, 102004, 70186, 104300, 107992, 11, 101091, 100944, 48842, 109621, 103115, 13, 921, 57073, 102173, 110204, 320, 331, 57073, 20023, 71, 103824, 101798, 705, 656, 100403, 66626, 100893, 104208, 104300, 114121, 117643, 101700, 15473, 11, 103519, 103147, 39015, 47151, 9964, 106312, 100524, 426, 71780, 125070, 121659, 21523, 1768, 656, 74757, 278, 48842, 23245, 47142, 12252, 11, 100409, 104495, 112957, 9120, 100906, 39015, 102143, 104047, 101781, 20023, 71, 107878, 86952, 103824, 101798, 11, 64578, 100944, 102655, 108361, 102962, 101677, 105354, 100886, 100610, 108095, 104115, 101582, 111244, 473, 11644, 100409, 111244, 452, 95465, 80768, 101239, 103353, 101781, 100409, 103824, 108361, 11, 118243, 118243, 100886, 100610, 109908, 103436, 70186, 103254, 101975, 101708, 103824, 108361, 382, 38, 689, 122865, 102911, 39015, 117103, 102911, 100906, 103451, 100920, 101580, 101091, 101743, 111244, 102173, 110204, 100683, 31074, 108039, 87239, 100631, 220, 9714, 20, 11, 103586, 108342, 66842, 983, 2665, 100930, 101580, 102454, 48842, 93754, 103628, 60835, 111244, 102173, 110204, 100558, 39015, 111244, 105717, 100944, 60835, 103824, 101798, 33254, 97635, 382, 44, 101010, 101419, 11, 100557, 24040, 100986, 113632, 100944, 102412, 103254, 101975, 11, 105114, 103981, 93205, 103090, 100725, 100769, 63672, 79328, 103981, 110204, 11, 95676, 110204, 93205, 13, 108430, 220, 17, 93754, 103628, 100690, 101359, 102004, 63672, 103981, 110204, 39015, 512, 91553, 37845, 95676, 110641, 106038, 60835, 119271, 110204, 102282, 109316, 11, 102171, 105334, 39015, 95676, 103824, 108361, 48842, 29876, 100540, 100886, 100610, 104458, 112214, 105536, 101925, 101724, 29876, 100540, 106897, 54137, 270, 89416, 111244, 473, 11644, 220, 100558, 107878, 109708, 11, 1343, 29024, 11, 326, 28707, 79, 11, 342, 59697, 11, 281, 5615, 15199, 276, 11, 1343, 84, 100650, 102502, 320, 77, 352, 105475, 39015, 1343, 84, 101033, 705, 1131, 720, 91553, 37845, 74625, 106038, 473, 11644, 101798, 60835, 111244, 473, 11644, 95676, 103824, 102746, 48842, 103824, 108211, 320, 83, 101853, 473, 11644, 20198, 100720, 112240, 108211, 8, 100558, 100944, 121514, 11, 101793, 101831, 11, 112252, 101386, 11, 103943, 112134, 11, 106821, 113079, 101625, 29775, 105322, 102790, 103353, 106230, 101105, 79328, 105197, 107000, 102282, 119928, 100920, 102143, 39015, 95676, 473, 11644, 101798, 100558, 43912, 356, 100955, 51427, 59606, 320, 96517, 705, 452, 3282, 2405, 1995, 18866, 40492, 320, 45, 391, 60203, 705, 1131, 18137, 126661, 426, 101765, 106459, 238, 66, 320, 80859, 6496, 1183, 102723, 705, 2195, 114366, 100631, 220, 6393, 20, 720, 46451, 27160, 983, 101798, 104115, 101582, 103313, 101887, 103824, 108361, 48842, 103353, 119271, 11, 103270, 65161, 119271, 110204, 100724, 100769, 101386, 102975, 96095, 102082, 101071, 60835, 101798, 31074, 111229, 102171, 116657, 11640, 6496, 382, 108178, 101227, 103475, 104854, 105931, 101798, 31074, 11, 100930, 101580, 102454, 103824, 101798, 70186, 100944, 100540, 101798, 31074, 111229, 102171, 116657, 107575, 100788, 114515, 108840, 48842, 101798, 31074, 116657, 107575, 100788, 114515, 31074, 106371, 15473, 29876, 101419, 103321, 11, 102171, 105334, 100788, 100886, 100610, 95676, 473, 11644, 20198, 100720, 48842, 110641, 106038, 105197, 70186, 103824, 100959, 102507, 382, 124412, 114515, 108840, 320, 36644, 26298, 83, 31074, 111229, 102171, 116657, 107575, 8, 29876, 93754, 103628, 103134, 29340, 100886, 100610, 95676, 78474, 70711, 101798, 104115, 101582, 95676, 473, 11644, 101798, 101708, 104485, 101717, 100788, 114515, 31074, 320, 36644, 26298, 83, 31074, 116657, 107575, 8, 101105, 103610, 102644, 103731, 100769, 100886, 100610, 95676, 473, 11644, 101798, 100558, 101227, 102259, 220, 6393, 20, 13, 111772, 100533, 100558, 114515, 31074, 103610, 102644, 105197, 330, 21567, 40492, 62858, 102173, 96095, 1, 70186, 96094, 114515, 108840, 102951, 65161, 330, 21567, 40492, 62858, 106450, 100959, 1, 320, 5162, 15, 705, 114515, 31074, 105475, 39015, 330, 17247, 101317, 1, 101105, 114515, 108840, 105475, 39015, 330, 82, 40492, 23542, 498, 114515, 31074, 105475, 39015, 330, 21567, 100647, 15754, 30441, 126683, 1, 101105, 114515, 108840, 105475, 39015, 330, 43, 92112, 113093, 480, 103400, 498, 114515, 31074, 105475, 39015, 330, 41325, 26298, 20921, 117575, 101582, 104854, 1, 101105, 114515, 108840, 105475, 39015, 330, 57735, 71348, 105931, 101582, 102790, 103421, 101071, 498, 114515, 31074, 105475, 39015, 330, 71, 86242, 64, 9165, 5080, 101792, 1, 101105, 114515, 108840, 105475, 39015, 330, 83, 28119, 119942, 498, 114515, 31074, 105475, 39015, 330, 339, 106430, 105386, 120593, 104854, 1, 101717, 114515, 108840, 102951, 65161, 330, 75, 100474, 109918, 104174, 101625, 498, 1131, 17030, 58910, 86952, 100788, 114515, 108840, 86952, 102143, 100403, 66626, 99996, 95676, 104470, 105493, 95676, 103824, 473, 11644, 100558, 330, 339, 309, 100809, 498, 330, 82, 62131, 107780, 498, 330, 17134, 52458, 102984, 498, 330, 52096, 59697, 104047, 498, 330, 52096, 95413, 101616, 498, 330, 85, 9769, 101821, 498, 1131, 101105, 114515, 31074, 86952, 102143, 100557, 111244, 330, 339, 78454, 3355, 27160, 983, 498, 330, 376, 79920, 127210, 22205, 93804, 490, 100784, 498, 330, 52096, 102493, 99270, 498, 330, 76176, 105197, 498, 330, 65, 52458, 123809, 498, 330, 339, 78, 76150, 113108, 498, 2195, 125059, 110641, 102090, 103077, 99996, 103824, 100959, 102507, 101105, 100788, 114515, 31074, 103610, 101036, 101359, 102259, 220, 6393, 20, 39015, 102143, 105197, 101036, 95676, 473, 11644, 101798, 11, 100558, 426, 59697, 51427, 100766, 320, 40, 36316, 705, 102932, 66, 104620, 445, 110555, 320, 49137, 705, 26604, 110965, 445, 110555, 320, 90475, 661, 705, 14659, 109316, 320, 68299, 705, 1131, 118338, 114515, 108840, 101105, 103134, 29340, 102143, 105197, 105475, 104470, 105493, 95676, 119271, 110204, 54137, 101058, 103824, 473, 11644, 320, 339, 2483, 100533, 25, 57086, 6695, 39815, 86657, 11, 111667, 6695, 376, 100520, 76646, 7561, 11, 26604, 2427, 64, 12, 462, 1131, 705, 114571, 15473, 100403, 66626, 105197, 473, 11644, 101798, 109908, 103436, 100558, 330, 3438, 100485, 498, 330, 41325, 96063, 498, 330, 2127, 71, 498, 330, 45, 6885, 53670, 356, 1995, 103147, 320, 66, 1832, 100540, 39015, 102082, 101071, 8, 220, 16, 105197, 103824, 102746, 39015, 68844, 526, 320, 983, 86632, 1183, 100659, 8, 330, 17247, 28119, 106038, 105003, 101959, 1, 65161, 33680, 526, 70186, 105197, 105475, 100944, 102004, 330, 42, 17156, 101781, 102412, 101724, 114227, 33680, 526, 117241, 109316, 11690, 114366, 96094, 101798, 31074, 102634, 101071, 87239, 100631, 220, 4468, 20, 11, 100809, 102165, 108840, 11500, 309, 80226, 101325, 109035, 86952, 13, 480, 70711, 102224, 11, 100930, 109908, 103436, 101194, 60835, 79328, 102282, 106352, 104208, 104551, 48842, 104208, 101157, 100790, 101887, 102975, 110223, 101338, 104628, 102061, 103824, 101798, 100690, 100944, 107092, 48842, 106038, 74686, 70320, 13, 112367, 473, 11644, 101798, 48842, 95676, 78474, 70711, 101798, 64578, 100524, 101798, 100886, 100610, 5609, 5609, 113346, 102962, 110204, 106642, 18137, 103353, 106284, 13, 117272, 1891, 110720, 80768, 100705, 102455, 48842, 100724, 100769, 104807, 79328, 105956, 114515, 102356, 105329, 100524, 100788, 101798, 31074, 64578, 101959, 114762, 48842, 105744, 100937, 101194, 100409, 79328, 102282, 110204, 103824, 101798, 382, 3438, 40492, 105900, 4815, 110798, 14693, 77, 77828, 11, 103824, 101798, 29876, 100683, 104491, 11, 14659, 35882, 11, 9702, 1412, 689, 11, 356, 90486, 294, 42069, 3415, 556, 11, 106756, 11, 103888, 35882, 11, 445, 100988, 11, 13106, 109051, 11, 60287, 89581, 76450, 978, 15357, 648, 11, 121498, 35882, 11, 108361, 11, 26363, 11, 116657, 107575, 328, 20243, 11, 328, 32453, 16876, 11, 110420, 35882, 11, 13000, 84, 36409, 11, 126683, 36181, 11, 115668, 1131, 52830, 5615, 983, 102746, 102173, 29876, 100524, 112698, 101764, 103077, 100788, 108625, 473, 103533, 11, 103824, 101798, 60835, 100501, 29876, 117738, 125565, 106038, 13845, 102419, 60835, 79328, 119271, 110204, 473, 11644, 320, 2232, 276, 107181, 11, 103824, 117241, 108625, 29775, 3677, 46451, 27160, 983, 101798, 39015, 119271, 110204, 101724, 114227, 119293, 66626, 100683, 116657, 107575, 328, 20243, 102481, 100524, 101798, 64578, 63129, 101627, 39015, 330, 67, 40492, 114227, 119293, 66626, 1, 100683, 328, 20243, 382, 3438, 86475, 110204, 4815, 46451, 27160, 983, 101798, 29876, 100930, 104115, 102951, 70186, 13845, 102419, 102811, 95676, 108840, 87239, 31074, 11, 54137, 119949, 7933, 95413, 100920, 9165, 26298, 76, 104878, 118243, 101036, 105389, 105956, 119103, 103321, 13, 105322, 100744, 11, 13845, 102419, 108840, 320, 72467, 122865, 1389, 110420, 106934, 705, 13845, 102419, 102746, 22546, 27160, 48842, 13845, 102419, 31074, 328, 53651, 480, 101240, 39015, 220, 18, 101909, 101278, 100944, 13, 109946, 103824, 103077, 102282, 97635, 101419, 103321, 100788, 13845, 102419, 74686, 70320, 48842, 95676, 103077, 102282, 13, 109259, 7933, 3282, 48842, 104551, 107193, 100788, 114515, 108840, 106003, 101194, 100788, 114515, 31074, 48842, 102746, 13, 21402, 70343, 108840, 101580, 106038, 100403, 66626, 105081, 106038, 320, 376, 11, 523, 11, 308, 11, 326, 33674, 101419, 100409, 114515, 31074, 48842, 114515, 102746, 13, 15754, 102419, 22546, 27160, 29876, 100937, 95676, 104029, 983, 103077, 102282, 101194, 100557, 13845, 102419, 101419, 13, 112367, 124899, 101798, 7826, 71780, 95016, 320, 10680, 16, 8, 60835, 90154, 409, 57711, 108041, 103824, 114515, 108840, 100724, 108342, 122213, 11, 423, 2538, 34765, 1556, 309, 275, 4042, 20023, 372, 320, 11242, 17, 12, 11242, 18, 8, 60835, 38077, 393, 19388, 12249, 409, 426, 978, 71, 8511, 108041, 103824, 114515, 31074, 100724, 108342, 122213, 13, 85237, 103763, 93530, 25826, 60835, 104620, 119678, 114511, 101798, 31074, 100683, 102746, 102173, 48842, 100705, 107951, 33767, 16848, 26224, 101105, 101359, 113354, 102673, 104628, 100852, 103091, 113458, 87239, 13845, 102419, 103888, 105006, 13, 107386, 102536, 11, 104403, 29876, 101050, 100743, 102176, 102811, 103456, 13845, 102419, 103888, 105006, 39015, 104628, 102975, 96095, 382, 21567, 57073, 106038, 271, 21567, 100984, 106038, 198, 35, 110303, 102224, 39015, 112499, 79328, 103731, 106038, 101036, 13845, 102419, 103888, 105006, 382, 108178, 112499, 100790, 11, 79328, 103731, 106038, 102259, 11, 104807, 48842, 103731, 106038, 106335, 39015, 103731, 106038, 54137, 125628, 106772, 11, 101717, 86952, 39015, 103731, 106038, 125628, 106772, 13, 10044, 224, 48842, 29005, 39015, 105765, 116200, 60835, 264, 48842, 220, 39815, 382, 41325, 102493, 101227, 11, 103824, 101798, 101717, 29876, 102165, 102634, 103731, 106038, 112559, 48842, 103731, 106038, 13081 ] ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	14.944781
[ [ 382, 3438, 51583, 106038, 198, 33, 101170, 104837, 102224, 101291, 118112, 79328, 105081, 106038, 70186, 103824, 101798, 48842, 101359, 105717, 627, 47215, 538, 28, 49537, 15729, 1742, 49406, 9841, 28778, 198, 91, 7058, 0, 17273, 28, 17, 7511, 0, 386, 100787, 198, 0, 921, 40492, 111163, 198, 0, 3489, 101010, 326, 26856, 94, 72, 198, 0, 650, 22980, 76, 198, 0, 650, 22980, 76, 107967, 198, 0, 109259, 115816, 198, 91, 7058, 0, 17273, 28, 17, 91, 386, 117225, 198, 91, 296, 720, 91, 308, 720, 7511, 91, 20921, 720, 91, 7933, 9809, 876, 720, 7511, 91, 7058, 0, 52388, 28, 18, 91, 350, 101024, 198, 0, 102127, 198, 91, 281, 720, 91, 259, 720, 91, 490, 720, 91, 523, 720, 91, 272, 14441, 34994, 720, 7511, 91, 7058, 0, 104551, 115816, 102061, 198, 91, 293, 720, 91, 15199, 720, 7511, 7511, 7511, 7511, 91, 7058, 0, 114696, 113773, 198, 7511, 91, 270, 720, 7511, 7511, 91, 52388, 28, 17, 91, 24040, 720, 7511, 91, 7058, 0, 52388, 28, 17, 91, 1630, 17099, 198, 0, 105430, 104551, 198, 91, 1343, 720, 91, 865, 720, 91, 274, 720, 7511, 91, 305, 720, 91, 7058, 0, 104832, 104551, 198, 91, 348, 720, 91, 294, 720, 91, 52388, 28, 17, 91, 436, 720, 91, 13845, 720, 91, 342, 14, 876, 720, 7511, 91, 7058, 0, 17273, 28, 17, 91, 23126, 104730, 116336, 198, 91, 577, 20886, 720, 91, 326, 720, 91, 379, 16843, 720, 7511, 7511, 71369, 16, 66626, 105081, 106038, 99227, 29876, 100403, 101359, 105717, 320, 17134, 19470, 293, 11, 281, 8, 102241, 100403, 66626, 29876, 100937, 101194, 100403, 101359, 105717, 100558, 597, 11, 29876, 100540, 106329, 106371, 101743, 272, 11, 597, 18137, 2874, 627, 41325, 102493, 101227, 11, 79328, 105081, 106038, 29876, 104115, 102951, 9964, 105437, 101036, 103077, 102282, 13, 117272, 101419, 103147, 100690, 105081, 106038, 104807, 79328, 105956, 114515, 101291, 118112, 105114, 107844, 101194, 70186, 103900, 102282, 110204, 103824, 101798, 382, 27159, 71, 74686, 70320, 4815, 46451, 27160, 983, 101798, 39015, 119271, 110204, 104551, 74686, 70320, 11, 105329, 106038, 103839, 60835, 103824, 101798, 106019, 51296, 220, 16, 104551, 74686, 70320, 102176, 100744, 13, 3234, 79328, 104551, 74686, 70320, 60835, 103824, 101798, 70186, 111244, 102975, 110204, 106329, 101925, 101743, 79328, 112917, 104551, 101717, 105475, 39015, 112917, 101485, 100403, 66626, 100524, 118812, 105475, 79328, 104551, 74686, 70320, 60835, 103824, 101798, 39015, 79328, 330, 67, 101551, 3343, 108430, 100930, 101419, 103147, 100690, 66626, 101406, 104551, 74686, 70320, 48842, 74686, 70320, 102412, 60835, 104551, 74686, 70320, 104807, 79328, 102282, 119271, 60835, 103824, 101798, 11, 104551, 74686, 70320, 29876, 105197, 105475, 108024, 103321, 54137, 101239, 104485, 100409, 100769, 102811, 101806, 100770, 108024, 103321, 70186, 105329, 102282, 119271, 60835, 103824, 101798, 13, 118542, 119271, 103824, 101798, 108840, 102106, 29876, 220, 21, 104551, 74686, 70320, 11, 102282, 119271, 103824, 101798, 102746, 102106, 48842, 31074, 102106, 29876, 220, 20, 104551, 74686, 70320, 13, 109259, 74686, 70320, 60835, 103824, 101798, 102673, 104628, 104140, 220, 21, 104551, 25, 122696, 320, 66, 101240, 105475, 39015, 104551, 54137, 112917, 656, 111244, 102975, 110204, 54137, 29876, 112917, 104551, 2665, 104551, 74686, 70320, 97635, 705, 105936, 11, 305, 101236, 11, 107193, 11, 7933, 3282, 11, 115116, 102241, 86952, 110988, 79328, 101050, 100743, 105688, 100540, 100690, 100769, 108041, 101359, 101580, 106038, 70186, 102282, 119271, 102176, 60835, 103824, 101798, 100724, 101359, 101580, 106038, 102673, 104628, 2665, 220, 21, 104551, 74686, 70320, 97635, 382, 107237, 106038, 103839, 51296, 348, 70711, 63672, 104551, 11, 110939, 39015, 79328, 348, 70711, 101325, 113209, 101743, 220, 16, 70186, 220, 18, 105081, 106038, 107690, 220, 320, 331, 57073, 102975, 110204, 107878, 86952, 101743, 111244, 105289, 330, 66, 1, 101535, 111244, 105289, 20921, 37028, 100827, 330, 331, 4063, 220, 320, 331, 57073, 102975, 110204, 107878, 86952, 101743, 111244, 105289, 330, 83, 4063, 220, 320, 331, 57073, 102975, 110204, 107878, 86952, 101743, 111244, 105289, 330, 79, 909, 99227, 29876, 100540, 51296, 104551, 105936, 101535, 104551, 115116, 13, 220, 18, 106038, 113303, 100790, 80226, 100724, 2665, 79328, 106038, 103839, 51296, 348, 70711, 63672, 104551, 99227, 29876, 100540, 51296, 79328, 104551, 74686, 70320, 29876, 74686, 70320, 102412, 116200, 48842, 105314, 382, 108178, 270, 39815, 2211, 79328, 104551, 74686, 70320, 101909, 65161, 220, 17, 108442, 25, 104551, 101743, 104140, 29876, 122696, 48842, 305, 101236, 11, 104551, 490, 101024, 104140, 79328, 104551, 101717, 86952, 13, 105322, 79328, 100540, 270, 39815, 106607, 100558, 118018, 103704, 48842, 120593, 126941, 11, 29876, 100540, 29876, 100930, 107575, 100827, 104551, 74686, 70320, 101743, 490, 101024, 104807, 79328, 103824, 70186, 220, 16, 106821, 270, 39815, 382, 21567, 57073, 101135, 4815, 46451, 27160, 983, 101798, 39015, 220, 16, 119271, 110204, 102410, 103190, 13, 104305, 100809, 102165, 110204, 101135, 100540, 100852, 102171, 105334, 93530, 74625, 102165, 102634, 126613, 95676, 48842, 101359, 117959, 112192, 490, 53985, 101781, 95676, 70186, 106821, 13, 1183, 53985, 101781, 95676, 93530, 100610, 101071, 70186, 103824, 101798, 39015, 102171, 110204, 482, 101740, 110204, 482, 259, 40492, 110204, 320, 50, 11417, 570, 107386, 102536, 11, 490, 53985, 101781, 70186, 106821, 29876, 100540, 70186, 100403, 66626, 101317, 100827, 117959, 112192, 101036, 113229, 119271, 110204, 107132, 114696, 102171, 101218, 11, 102481, 101582, 100920, 220, 16, 106821, 29876, 100540, 101036, 490, 53985, 101781, 114215, 110204, 482, 108664, 110204, 482, 119957, 110204, 320, 3204, 53, 3677, 53, 37028, 102984, 79328, 95676, 117959, 112192, 101036, 103421, 101781, 11, 95676, 51296, 102339, 100944, 112278, 102259, 95676, 51296, 102339, 105081, 112278, 33254, 107166, 40439, 104485, 2665, 95676, 51296, 102339, 100944, 11, 104256, 101781, 100558, 99996, 95676, 112278, 102259, 101624, 95676, 112278, 33254, 107166, 40439, 104485, 2665, 99996, 95676, 13, 107386, 102536, 70186, 100403, 66626, 101317, 100827, 11, 107166, 110204, 320, 65941, 104140, 95676, 51296, 102339, 105081, 48842, 101624, 95676, 8, 100770, 112278, 102259, 99996, 95676, 382, 46451, 27160, 983, 101798, 101717, 29876, 102165, 102634, 102724, 95676, 101121, 865, 103533, 113458, 100790, 79328, 95676, 110204, 99227, 100809, 102165, 103254, 101975, 48842, 102165, 102634, 99996, 95676, 102410, 101740, 382, 125330, 104029, 983, 4815, 125330, 104029, 983, 103824, 101798, 29876, 220, 17, 101625, 114021, 100944, 25, 95676, 78474, 70711, 101798, 48842, 95676, 296, 44737, 77, 13, 114031, 15473, 101717, 29876, 100557, 95676, 124865, 102171, 983, 39015, 101325, 101997, 60835, 100930, 101325, 100827, 79328, 105334, 106085, 78474, 70711, 101798, 48842, 109621, 116611, 382, 125330, 78474, 70711, 101798, 271, 125330, 78474, 70711, 101798, 39015, 100557, 95676, 101616, 100852, 109387, 101194, 70186, 103824, 101798, 11, 106329, 101925, 100557, 100930, 102367, 11, 100852, 105103, 11, 24040, 100986, 113632, 101126, 101764, 101071, 70186, 107773, 103978, 305, 100948, 101120, 13, 3234, 29876, 100930, 101959, 114762, 95676, 117746, 101194, 100409, 79328, 119271, 110204, 108442, 350, 54122, 71626, 100986, 101485, 100937, 95676, 78474, 70711, 101798, 48842, 79328, 95676, 104256, 102329, 70186, 79328, 103824, 97635, 29876, 100930, 108024, 103321, 101071, 100743, 100690, 110204, 106038, 48842, 110204, 104485, 382, 1305, 100494, 220, 5162, 15, 11, 100403, 66626, 95676, 78474, 70711, 101798, 102143, 80768, 103586, 105197, 93530, 103799, 2665, 100524, 70186, 112214, 105536, 104800, 101724, 101535, 80768, 110672, 100947, 7643, 934, 110042, 108904, 270, 100951, 104470, 74686, 13, 118338, 114515, 108840, 29876, 79328, 105197, 100558, 330, 49, 51583, 83, 498, 330, 51, 103930, 498, 330, 34, 95413, 498, 330, 45919, 498, 330, 38, 100986, 498, 1131, 118338, 114515, 31074, 29876, 79328, 105197, 100558, 330, 41325, 93402, 498, 1131, 117272, 101580, 102454, 101724, 102984, 103090, 100725, 101359, 103586, 105197, 93530, 103799, 103775, 118243, 382, 125330, 473, 11644, 101798, 4815, 50, 62131, 101959, 114762, 104807, 103824, 101798, 48842, 103824, 473, 11644, 104470, 100906, 96094, 100893, 473, 11644, 60835, 102746, 102173, 865, 87828, 115678, 103065, 104164, 101798, 31074, 13, 3489, 1995, 101291, 101959, 114762, 80226, 105470, 87239, 103824, 101798, 100403, 112937, 101406, 95676, 110204, 60835, 103824, 473, 11644, 13, 110965, 72, 107240, 100906, 11, 100852, 105103, 97635, 106371, 15473, 326, 101498, 259, 101498, 11, 127570, 436, 102696, 101194, 102171, 105334, 93530, 74625, 102761, 98710, 110204, 74625, 100930, 101959, 114762, 104807, 100524, 101798, 48842, 100524, 473, 11644, 11, 101700, 101485, 220, 16, 105536, 95676, 29876, 105493, 112240, 473, 11644, 106607, 100920, 80226, 11640, 6496, 124622, 100409, 79328, 95676, 78474, 70711, 101798, 13, 51427, 71348, 107773, 118018, 11, 103824, 101798, 93205, 29876, 100930, 101959, 101627, 79328, 95676, 110204, 473, 11644, 100403, 101359, 29876, 102165, 102634, 74625, 102761, 96182, 348, 79920, 13, 104305, 95676, 110204, 112240, 473, 11644, 97635, 102171, 105334, 113354, 101036, 110204, 106038, 107773, 118018, 9964, 40492, 102711, 103731, 113303, 110204, 106038, 103824, 101798, 105475, 39015, 106038, 473, 11644, 4235, 36644, 26298, 83, 13, 108856, 105470, 87239, 103824, 101798, 11, 103381, 106811, 100769, 104115, 102951, 100690, 102214, 110204, 106038, 11, 100403, 66626, 95676, 473, 11644, 101798, 104115, 102951, 100970, 110204, 104485, 382, 125330, 473, 11644, 20198, 100720, 115678, 220, 16, 101338, 70186, 106897, 95676, 104029, 983, 103824, 101798, 11, 101806, 100852, 104160, 100403, 66626, 109617, 104164, 60835, 107773, 103978, 103254, 101975, 382, 125330, 29876, 105493, 112240, 119466, 4235, 33895, 84, 4815, 42, 34550, 95676, 96094, 101798, 31074, 103270, 65161, 102962, 103077, 60835, 108361, 11, 103824, 108361, 80226, 29876, 102620, 105579, 100725, 103824, 101798, 48842, 79328, 95676, 110204, 112240, 108361, 270, 87828, 63672, 87239, 103824, 101798, 13, 117272, 102620, 105579, 97635, 39015, 656, 103824, 108361, 29876, 100886, 100610, 70186, 79328, 103353, 101764, 11, 106908, 117103, 60835, 106450, 100959, 48842, 70186, 119613, 113480, 100788, 100893, 101317, 101004, 100558, 70186, 79328, 101278, 96182, 102911, 101419, 13, 126790, 105579, 97635, 112517, 101036, 100930, 101616, 100852, 60835, 79328, 95676, 112240, 108361, 70186, 79328, 109617, 104164, 101419, 103321, 103519, 103147, 39015, 70186, 102637, 100705, 105114, 103981, 382, 108178, 101227, 103475, 125948, 105931, 101798, 31074, 11, 114515, 108840, 101798, 31074, 107892, 102620, 105579, 60835, 104540, 1630, 9769, 13, 3234, 100744, 11, 100403, 66626, 95676, 110204, 112240, 115668, 29876, 101309, 104141, 3930, 63672, 87239, 103824, 101798, 13, 111778, 101227, 11, 101708, 100409, 100930, 101959, 114762, 11, 101975, 63672, 111202, 106513, 101194, 100409, 101582, 102790, 11, 70186, 103824, 101798, 101004, 101616, 100852, 79328, 95676, 110204, 29876, 105493, 112240, 95676, 103824, 104491, 382, 80859, 105145, 105976, 11, 96094, 105470, 87239, 103824, 101798, 11, 100557, 95676, 97635, 80226, 101798, 116361, 100690, 102214, 106038, 113354, 320, 339, 39930, 104551, 74686, 70320, 11, 104115, 102951, 106038, 101535, 103775, 293, 119531, 106038, 103839, 570, 109946, 95676, 102410, 106038, 103839, 320, 6292, 100784, 102410, 106038, 116361, 705, 113039, 296, 44737, 77, 74625, 98710, 110204, 270, 87828, 63672, 87239, 103824, 101798, 13, 105322, 96094, 100744, 11, 100557, 95676, 29876, 220, 17, 106038, 103839, 103270, 102123, 11, 113039, 296, 44737, 77, 93530, 74625, 96182, 348, 79920, 103610, 101717, 112917, 116404, 109621, 116611, 13, 108430, 100557, 95676, 113039, 296, 44737, 77, 103731, 105765, 101485, 101700, 102620, 105579, 70186, 101359, 101580, 106038, 382, 125330, 29876, 105493, 112240, 103824, 101724, 114227, 119293, 66626, 720, 43, 6496, 220, 16, 100959, 105206, 105936, 114227, 100409, 220, 4370, 101724, 114227, 80226, 63129, 101627, 11, 103824, 101798, 109908, 93530, 101959, 101627, 220, 16, 101338, 103824, 101724, 114227, 119293, 66626, 11, 104140, 95676, 93530, 100610, 48842, 105197, 107000, 60835, 100524, 18137, 103077, 102367, 48842, 79328, 95676, 97635, 29876, 100540, 29876, 348, 70711, 330, 17247, 101798, 3343, 3489, 1995, 101291, 97635, 106371, 15473, 70186, 105283, 100886, 13, 423, 103416, 101036, 105197, 100524, 3529, 29024, 865, 103533, 106660, 106697, 100790, 102911, 106333, 48842, 79328, 103077, 99996, 100790, 79328, 101764, 100939, 101091, 100944, 11, 101806, 9637, 29876, 100540, 101909, 101278, 79328, 101359, 63672, 103824, 101724, 114227, 119293, 66626, 100558, 33254, 512, 112367, 103824, 102811, 60835, 115816, 105530, 79328, 101724, 114227, 95676, 117241, 106934, 103270, 15473, 11, 80226, 110720, 122342, 109387, 101194, 101708, 100524, 112698, 48842, 14, 6292, 100784, 102962, 105956, 106422, 102061, 108625, 43912, 11, 100558, 100524, 386, 78969, 11, 350, 54122, 11, 452, 89871, 11, 110420, 29775, 101105, 100501, 105197, 100524, 101105, 101036, 95676, 473, 11644, 101798, 100558, 79328, 100501, 330, 22646, 70320, 498, 330, 41325, 105699, 498, 330, 34, 103598, 498, 330, 41325, 109168, 498, 40868, 101717, 103077, 99996, 101105, 101036, 107878, 106038, 100558, 330, 45, 107485, 498, 330, 82478, 98616, 14, 121452, 98616, 498, 330, 47, 101024, 498, 1131, 51427, 100787, 96094, 100930, 103115, 105438, 100409, 100524, 112698, 103090, 100725, 100557, 105197, 124865, 100827, 100558, 41875, 426, 4381, 320, 83, 28119, 103824, 110420, 39015, 666, 74036, 426, 4381, 11, 104485, 39015, 41875, 5476, 4390, 112367, 103824, 473, 28703, 24976, 101105, 101036, 107878, 106038, 100920, 54137, 101036, 95676, 473, 11644, 101798, 11, 116839, 108116, 103824, 473, 28703, 24976, 29876, 100809, 102165, 105798, 101194, 100409, 103824, 107559, 13, 111772, 100533, 100558, 79328, 100501, 650, 52649, 320, 53, 86475, 11, 650, 526, 705, 15754, 52649, 320, 35, 86475, 11, 25482, 705, 1131, 18137, 79328, 103077, 99996, 100558, 445, 100988, 356, 2192, 320, 77, 876, 113184 ] ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	12.048941
[ [ 111244, 39015, 921, 85400, 356, 100647, 11, 95676, 473, 11644, 101798, 39015, 445, 3496, 452, 26279, 118523, 104773, 705, 16233, 16056, 320, 53379, 393, 22490, 11, 104485, 111244, 39015, 426, 109285, 356, 17099, 705, 1131, 110178, 100827, 101278, 114571, 39015, 100501, 105197, 125953, 386, 109168, 100920, 102143, 95676, 473, 11644, 101798, 100558, 120164, 111385, 328, 59606, 627, 112367, 103824, 102811, 60835, 79328, 101724, 114227, 100788, 109316, 114425, 11, 31074, 102106, 29775, 101105, 101036, 107878, 106038, 39015, 100944, 11, 100558, 51427, 62202, 74, 445, 62202, 74, 11, 16852, 24976, 393, 101024, 29775, 101535, 103436, 106038, 100558, 328, 103400, 1183, 59697, 11, 121659, 121027, 29775, 356, 1995, 103147, 29876, 100769, 102790, 101774, 112976, 102257, 80226, 330, 42, 21538, 102061, 1, 103077, 99996, 103586, 105197, 100939, 77, 112976, 102257, 11, 31644, 100533, 100683, 103254, 393, 77394, 816, 29876, 51427, 103290, 11547, 91163, 98710, 426, 77394, 816, 382, 107237, 111244, 48842, 348, 70711, 330, 17247, 101798, 1, 105717, 101036, 103628, 103090, 70186, 120096, 100743, 220, 8273, 124731, 330, 53, 41038, 105197, 107000, 54137, 101058, 103824, 101798, 498, 70186, 100744, 79328, 111244, 105289, 435, 11, 622, 11, 468, 11, 1901, 29876, 100540, 113346, 116653, 100886, 100610, 382, 125330, 124865, 102171, 983, 720, 125330, 124865, 102171, 983, 39015, 100557, 95676, 101700, 65161, 95676, 79328, 105334, 106085, 29876, 105493, 112240, 101419, 103321, 100558, 104807, 105334, 106085, 78474, 70711, 101798, 48842, 473, 11644, 101798, 11, 104807, 105334, 106085, 78474, 70711, 101798, 48842, 105334, 106085, 119466, 12, 33895, 84, 13, 356, 89871, 100409, 100930, 101580, 102454, 60835, 103824, 101798, 11, 79328, 95676, 124865, 102171, 983, 80226, 96095, 102502, 11, 107827, 220, 16, 40586, 109162, 70186, 100769, 106371, 106059, 79328, 24040, 100986, 113632, 93205, 101194, 70186, 103254, 101975, 382, 53, 2483, 100533, 512, 348, 100787, 116361, 1754, 1389, 330, 85, 100787, 1, 39015, 78474, 70711, 101798, 11, 330, 6292, 1995, 1, 39015, 473, 11644, 20198, 100720, 627, 108387, 76, 102442, 1389, 330, 95465, 1, 39015, 95676, 103824, 106756, 8840, 76, 11, 330, 74, 27160, 1, 39015, 473, 11644, 20198, 100720, 627, 100893, 122178, 1389, 330, 17134, 6496, 1, 39015, 78474, 70711, 101798, 11, 330, 65, 59697, 1, 39015, 95676, 103824, 108361, 9120, 593, 627, 1847, 102711, 1389, 330, 5924, 1, 39015, 103824, 104491, 11, 330, 339, 43604, 1, 39015, 473, 11644, 20198, 100720, 382, 1163, 57073, 105717, 271, 747, 28119, 4803, 52680, 53099, 1129, 10176, 34466, 2726, 26583, 17146, 40898, 16, 4, 7209, 4, 1846, 79, 530, 258, 58255, 646, 23635, 2325, 3978, 44519, 65921, 91, 17134, 86242, 48676, 127806, 102811, 103824, 101798, 31074, 1, 320, 121967, 17857, 238, 159, 245, 224, 104087, 59563, 705, 103381, 100790, 105717, 101743, 921, 57073, 102173, 110204, 320, 331, 57073, 20023, 71, 705, 103381, 104837, 105717, 101743, 111244, 452, 95465, 320, 70, 101765, 107747, 8, 100409, 111244, 473, 11644, 271, 110798, 107501, 105283, 100886, 101580, 102454, 11, 103824, 101798, 29876, 220, 18, 105765, 104047, 101781, 80768, 105717, 39015, 111244, 473, 11644, 11, 111244, 452, 95465, 320, 67, 103416, 100790, 111244, 473, 11644, 8, 48842, 111244, 102173, 110204, 320, 331, 57073, 20023, 71, 3677, 1163, 57073, 473, 11644, 48842, 111244, 452, 95465, 39015, 103353, 101781, 100944, 60835, 101798, 31074, 102259, 101582, 111639, 220, 508, 13, 350, 52458, 100970, 79328, 101779, 80579, 100886, 100705, 48842, 103353, 100705, 106607, 104208, 101798, 31074, 103467, 105717, 101743, 111244, 473, 11644, 11, 111244, 452, 95465, 100558, 34382, 93699, 294, 103898, 109701, 11, 473, 100954, 108818, 106312, 11, 106934, 17030, 9769, 102724, 104820, 11, 120476, 50986, 101317, 259, 40492, 104551, 11, 104620, 101798, 100886, 104047, 101887, 106831, 39325, 1163, 57073, 102173, 110204, 39015, 111244, 20023, 71, 113458, 100790, 112499, 111244, 105289, 48842, 106038, 101740, 60835, 103824, 426, 71780, 125070, 121659, 101702, 115178, 100409, 103824, 101798, 11, 656, 79328, 100893, 104208, 104300, 423, 64875, 122809, 426, 71780, 125070, 121659, 103933, 103559, 87239, 100906, 101582, 111639, 220, 1114, 105757, 656, 104300, 106312, 90154, 409, 57711, 100524, 7671, 21538, 263, 104628, 100743, 13, 110992, 39015, 100524, 2665, 304, 122216, 423, 2538, 34765, 9489, 309, 49086, 372, 445, 355, 13145, 372, 1880, 20023, 372, 100631, 220, 10680, 16, 13, 27560, 89039, 101582, 111639, 220, 972, 100683, 51427, 52649, 105322, 106371, 15473, 104053, 107600, 101226, 111244, 102173, 110204, 104837, 100930, 101309, 108233, 60835, 117726, 104495, 38077, 393, 19388, 2933, 409, 14954, 8511, 320, 68412, 101717, 102613, 101833, 104837, 105197, 426, 1995, 51427, 64, 445, 101033, 705, 95676, 124899, 29876, 105197, 423, 2538, 34765, 1556, 309, 780, 78, 8288, 30190, 779, 50986, 934, 121483, 100631, 220, 11242, 17, 4235, 11242, 18, 102241, 93205, 99227, 39015, 101764, 105717, 104359, 13, 42116, 100744, 11, 95676, 124899, 60835, 15490, 14685, 51296, 105197, 31074, 101798, 4235, 35, 86475, 124254, 350, 62131, 101740, 320, 83, 103416, 20023, 71, 108024, 100409, 101781, 64, 122216, 60835, 426, 1995, 51427, 64, 445, 101033, 8, 101616, 101764, 100631, 220, 10750, 23, 100683, 8409, 1141, 461, 11, 119466, 111647, 382, 1163, 57073, 102173, 110204, 95676, 106563, 15473, 107773, 117111, 29876, 101194, 220, 1049, 100631, 101157, 65161, 48842, 101580, 102454, 11, 102241, 104403, 104602, 109908, 103436, 80768, 39015, 103353, 101781, 100944, 100788, 101798, 31074, 102481, 111244, 473, 11644, 48842, 111244, 452, 95465, 103610, 39015, 105765, 103353, 101781, 109908, 103436, 60835, 103824, 101798, 13, 2405, 76150, 100725, 107690, 101582, 111639, 220, 777, 11, 87239, 101227, 103475, 108361, 102962, 11, 100944, 102655, 102962, 103077, 101677, 105354, 111244, 102173, 110204, 48842, 106607, 274, 6792, 88, 104115, 101582, 111244, 473, 11644, 48842, 111244, 452, 95465, 80768, 103824, 101798, 101239, 103353, 101781, 20023, 71, 100409, 103824, 108361, 11, 104470, 100906, 95676, 31074, 108039, 105757, 101833, 108840, 108039, 48842, 102746, 108039, 80768, 104487, 109267, 109908, 103436, 103824, 108361, 48842, 103353, 102061, 108361, 13, 356, 101240, 79328, 100893, 109358, 101359, 101798, 31074, 220, 114884, 105354, 100769, 104208, 293, 1995, 102165, 111244, 20023, 71, 100558, 102282, 106352, 80768, 104003, 101724, 102984, 11, 523, 101299, 101724, 105256, 13, 356, 76150, 101359, 104300, 107992, 100631, 220, 7028, 21, 60835, 125953, 107842, 110420, 101004, 103253, 104140, 107413, 101291, 113480, 111244, 102173, 110204, 13, 107386, 103453, 70186, 112252, 107240, 97635, 11, 100930, 293, 103400, 326, 95413, 60835, 122529, 101724, 108361, 107009, 100524, 101798, 54137, 64578, 74686, 100705, 107114, 104602, 11, 101485, 115816, 105530, 100524, 101798, 112252, 107240, 97635, 103270, 101485, 296, 15273, 111244, 100409, 100970, 111244, 473, 11644, 11, 111244, 452, 95465, 48842, 111244, 102173, 110204, 13, 17030, 352, 33254, 96094, 101798, 31074, 111229, 102171, 116657, 107575, 103190, 102975, 11, 105186, 105128, 101580, 100801, 106934, 101724, 100705, 101615, 100409, 104495, 102673, 105314, 113167, 101982, 102961, 120879, 296, 15273, 111244, 101743, 101359, 112010, 104504, 113480, 111244, 102173, 110204, 2665, 100524, 101724, 13, 921, 57073, 473, 11644, 48842, 111244, 452, 95465, 103610, 64578, 100403, 101406, 100524, 101798, 100886, 100610, 5609, 5609, 101708, 111244, 102173, 110204, 11, 102241, 100725, 100631, 220, 6280, 15, 11, 119613, 113480, 111244, 473, 11644, 452, 95465, 100947, 101278, 15473, 111437, 107413, 101291, 104300, 107992, 60835, 101798, 31074, 111229, 102171, 116657, 107575, 102481, 100447, 109908, 103436, 100788, 101798, 31074, 54137, 101717, 100937, 382, 124412, 101798, 31074, 100852, 103091, 11, 100524, 101724, 102171, 105334, 100886, 100610, 111244, 102173, 110204, 39015, 100944, 11, 101717, 111244, 473, 11644, 48842, 111244, 452, 95465, 102127, 102143, 70186, 79328, 102425, 100801, 101609, 100809, 101833, 103353, 102061, 104208, 102634, 100558, 105717, 106831, 101135, 11, 106821, 101702, 11, 103765, 105744, 105283, 100886, 48842, 103353, 100705, 106607, 11, 48842, 64578, 119613, 113480, 70186, 103847, 104710, 473, 11644, 452, 95465, 121070, 102724, 100705, 101004, 100558, 100683, 79328, 101744, 101774, 106284, 490, 100988, 113480, 100705, 111244, 473, 11644, 48842, 111244, 452, 95465, 64578, 100886, 100610, 70186, 103824, 101798, 13, 1183, 100986, 121807, 86952, 39015, 107072, 101239, 100524, 112698, 101764, 103077, 100788, 108625, 473, 103533, 320, 1305, 2234, 102173, 705, 656, 54137, 100947, 102620, 105579, 104458, 100944, 96182, 104115, 101582, 111244, 473, 11644, 48842, 111244, 452, 95465, 101743, 111244, 102173, 110204, 60835, 122529, 101724, 108361, 320, 85, 89871, 103033, 100501, 103978, 103270, 65161, 109278, 125379, 104620, 109259, 101036, 103078, 118259, 108361, 12, 27159, 71, 104047, 100631, 220, 9367, 22, 11, 101485, 100501, 54137, 100947, 122529, 101724, 108361, 109701, 105354, 705, 100557, 101582, 102165, 390, 523, 116906, 100788, 102224, 54137, 100947, 13845, 11644, 107240, 111301, 74686, 100705, 48842, 54137, 100947, 296, 15273, 111244, 13, 109796, 112698, 101764, 103077, 100788, 108625, 473, 103533, 103610, 102082, 111104, 64578, 100930, 109908, 103436, 60835, 111244, 473, 11644, 48842, 111244, 452, 95465, 70186, 107072, 101239, 48842, 103610, 102143, 100724, 103353, 101781, 100944, 2665, 103824, 101798, 100788, 101227, 100852, 102724, 108024, 100558, 100524, 101798, 865, 93458, 11, 104115, 102481, 102143, 111244, 20023, 71, 100558, 100524, 101798, 100788, 101798, 31074, 100852, 100683, 382, 13347, 71348, 101135, 100959, 116657, 107575, 103254, 101975, 102171, 104485, 101798, 31074, 220, 679, 18, 11, 100683, 120892, 358, 106104, 220, 20, 386, 93804, 220, 18, 11, 107878, 103824, 101798, 39015, 119271, 110204, 102975, 96095, 60835, 101798, 31074, 13, 109306, 29876, 103938, 103475, 103353, 101764, 102176, 100788, 101386, 100893, 100959, 101050, 100743, 13845, 102419, 104628, 48842, 102975, 101781, 3573, 331, 57073, 105717, 102975, 96095, 1, 101535, 103353, 101781, 100944, 102004, 8, 60835, 103824, 101798, 13, 121498, 102610, 79328, 103353, 101764, 101091, 100944, 103824, 101798, 100788, 101798, 31074, 64578, 105717, 101743, 111244, 102173, 110204, 101036, 330, 2232, 88, 100743, 100690, 100944, 107092, 103824, 101798, 48842, 100690, 103981, 110204, 103824, 101798, 1, 104752, 100610, 2665, 79328, 96182, 104300, 102637, 11, 102911, 48842, 103353, 101764, 60835, 104710, 104300, 107992, 11, 122087, 100683, 120096, 100743, 60835, 102106, 113716, 107992, 66626, 220, 8273, 124731, 101120, 220, 20, 101420, 220, 18, 100631, 220, 3753, 19, 656, 100557, 100524, 114789, 105579, 104300, 107992, 100744, 33254, 97635, 15473, 100724, 100769, 70186, 105329, 109617, 104164, 103254, 101975, 103628, 101833, 100769, 104628, 102061, 100944, 107092, 103824, 101798, 13, 109306, 29876, 103704, 104097, 102176, 272, 103685, 100524, 101798, 105717, 103824, 101798, 100852, 102724, 101743, 111244, 473, 11644, 452, 95465, 382, 1016, 19470, 101135, 4815, 34, 89871, 100409, 111244, 473, 11644, 11, 735, 3444, 48842, 41875, 360, 11, 29876, 100524, 330, 88, 102069, 104672, 1, 106831, 101135, 107514, 111244, 105717, 103824, 101798, 102123, 65161, 100403, 101625, 107551, 103762, 103981, 382, 1016, 19470, 101135, 111244, 101798, 9120, 100906, 39015, 106831, 101135, 111244, 452, 95465, 48842, 111244, 473, 11644, 13, 42116, 97635, 111244, 102173, 110204, 103270, 101485, 109908, 103436, 101194, 70186, 96094, 105920, 102025, 48842, 102915, 104672, 4353, 78, 111244, 70186, 100893, 103610, 101717, 11, 100524, 105679, 111244, 80226, 111901, 865, 101681, 106831, 101135, 111244, 102173, 110204, 13, 356, 101240, 106831, 101135, 111244, 473, 11644, 48842, 111244, 452, 95465, 100852, 103091, 103610, 102082, 111104, 5609, 5609, 382, 119781, 342, 11399, 103824, 101798, 48842, 103115, 101959, 103824, 101798, 74625, 107303, 4815, 123436, 101708, 39015, 111244, 20023, 71, 11, 102507, 220, 1313, 104047, 101781, 54137, 112917, 29876, 70186, 112499, 111244, 105289, 103824, 104491, 101105, 111244, 102173, 110204, 101717, 110851, 101406, 104047, 101781, 29876, 112917, 11, 103253, 104140, 220, 22, 104047, 101781, 10044, 224, 11, 46433, 11, 51427, 11, 1717, 232, 11, 111667, 11, 220, 123097, 11, 220, 110583, 101708, 220, 1399, 111244, 103731, 106038, 320, 32, 11, 10044, 224, 11, 46433, 11, 469, 11, 1717, 232, 11, 358, 11, 507, 11, 111667, 11, 220, 123097, 11, 549, 11, 220, 110583, 11, 816, 8, 51296, 104551, 74686, 70320, 105936, 2902, 101236, 2902, 86242, 72, 84063, 3282, 5392, 106362, 13, 106134, 107072, 39015, 102022, 101624, 18137, 101926, 107181, 101621, 101058, 308, 107533, 102695, 220, 3080, 104047, 101781, 11, 125373, 101194, 220, 17, 11, 20, 103528, 112499, 111244, 105289, 60835, 103824, 104491, 320, 1627, 104047, 101781, 8, 101105, 93205, 104602, 80768, 105717, 103824, 101798, 13, 452, 28119, 80768, 29876, 100540, 105717, 103824, 101798, 100790, 102022, 101624, 48842, 101926, 107181, 1891, 100801, 101621, 29876, 101625, 342, 11399, 39015, 101338, 107967, 104426, 103427, 779, 50986, 111018, 103353, 101764, 101743, 103824, 101798, 74686, 115073, 100403, 66626, 1343, 24976, 111244, 102173, 110204, 13, 109796, 102143, 101004, 29876, 100540, 118848, 103586, 102695, 79328, 1343, 24976, 104047, 101781, 111244, 102173, 110204, 101419, 105028, 101615, 103763, 102984, 48842, 103762, 103981, 13, 104305, 101625, 342, 11399, 103824, 101798, 101419, 103321, 100770, 101050, 100743, 79328, 1343, 56094, 293, 103685, 101419, 103321, 80768, 122680, 101925, 79328, 112917, 104551, 11, 112917, 296, 100647, 48842, 112917, 66842, 66, 13, 108430, 100557, 101050, 118259, 104628, 112917, 103824, 101798, 11, 101625, 59965, 11, 101359, 342, 11399, 48842, 100557, 101338, 107967, 101419, 103321, 13, 108430, 101625, 59965, 111244, 101798, 101036, 104628, 102975, 101831, 36997, 382, 5519, 104047, 101781, 29876, 112917, 101058, 59965, 102061, 107327, 101406, 101625, 112572, 102610, 101194, 104047, 101781, 54137, 112917, 11, 100769, 25826, 20921, 102675, 31009, 101743, 103824, 101798, 29876, 112917, 100947, 103782, 102489, 220, 2031, 104047, 101781, 5640, 258, 20921, 102675, 320, 16485, 101194 ] ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	14.116238
[ [ 100403, 127483, 779, 100409, 220, 5245, 104047, 101781, 5640, 258, 20921, 102675, 60835, 103824, 104491, 8, 101485, 102259, 102224, 100524, 101798, 102127, 20921, 102675, 25826, 31009, 54137, 112917, 80768, 29876, 100540, 105717, 100937, 104089, 86636, 101194, 48842, 103839, 114148, 102881, 101194, 108116, 104089, 86636, 101743, 103824, 101798, 54137, 112917, 29876, 100540, 104991, 105744, 20921, 103598, 13, 108418, 66626, 101317, 100827, 104033, 100610, 105717, 118913, 11, 103436, 102951, 104047, 101781, 108095, 103775, 66626, 101406, 320, 73, 28, 8376, 26, 282, 28, 764, 26, 105118, 305, 70186, 330, 876, 2247, 77, 876, 909, 18137, 100540, 100852, 106003, 106038, 320, 89, 26477, 102481, 330, 52096, 1, 105717, 54137, 112917, 65161, 330, 67, 1865, 124722, 103091, 114492, 100930, 101580, 102454, 60835, 8191, 100790, 1891, 100801, 320, 17134, 19470, 17664, 27395, 11, 220, 19, 38, 54137, 102790, 103782, 86636, 101406, 8, 101708, 79328, 102329, 100610, 8775, 51, 48842, 107303, 103254, 101975, 11, 100769, 20921, 102675, 25826, 101743, 103824, 101798, 29876, 112917, 103270, 101485, 125555, 113108, 101194, 100920, 54137, 781, 100947, 103782, 102489, 104047, 101781, 382, 121316, 100409, 100769, 342, 11399, 111244, 473, 11644, 48842, 111244, 452, 95465, 101743, 103824, 101798, 11, 656, 105765, 104047, 101781, 97635, 100852, 54137, 64578, 100886, 100610, 109908, 103436, 100788, 101798, 31074, 101485, 79328, 112282, 86736, 101616, 102022, 101624, 11, 101926, 107181, 18137, 101338, 107967, 116523, 100558, 101278, 105118, 13, 120029, 101935, 105798, 102224, 80768, 105028, 101615, 2665, 105920, 102025, 103765, 105744, 100690, 105283, 100886, 18137, 103353, 100705, 106607, 101004, 100558, 103847, 104710, 473, 11644, 452, 95465, 11, 100403, 66626, 59801, 101121, 18137, 101744, 101774, 80226, 101700, 15473, 100557, 103763, 3566, 18137, 101338, 107967, 102356, 105717, 111244, 473, 11644, 48842, 111244, 452, 95465, 101743, 101625, 342, 11399, 111244, 102173, 110204, 13, 111559, 111244, 473, 11644, 656, 101239, 101625, 100409, 79328, 111244, 60835, 101625, 342, 11399, 103824, 102746, 48842, 103824, 108211, 101485, 100769, 122680, 101925, 54137, 104821, 110491, 11, 101717, 111244, 452, 95465, 656, 100403, 101406, 111244, 104403, 64578, 59965, 116361, 107114, 104602, 101485, 29876, 100540, 122680, 101925, 100947, 115009, 100790, 100403, 66626, 102022, 101624, 48842, 101926, 107181, 104837, 105765, 108387, 126788, 18137, 112917, 107193, 122700, 382, 120069, 102695, 198, 124942, 101798, 100683, 107559, 108039, 271, 1163, 6792, 104672, 271, 1016, 309, 105793, 271, 1016, 19470, 104495, 198, 46451, 27160, 983, 101798, 271, 33006, 33006, 720, 4815, 46451, 27160, 983, 104491, 271, 46521, 28119, 101325, 102507, 4815, 33006, 720, 112367, 124899, 101798, 7826, 71780, 95016, 60835, 90154, 409, 57711, 100790, 107303, 198, 112367, 124899, 103824, 101798, 865, 93458, 100790, 107303, 100893, 96182, 328, 24976, 473, 86475, 551, 112367, 124899, 101798, 8288, 15111, 71, 60835, 622, 1236, 13, 15490, 14685, 11, 112367, 124899, 101798, 426, 71780, 5034, 11, 104620, 31074, 3489, 125467, 46433, 76, 350, 62131, 119957, 198, 113716, 106312, 426, 71780, 125070, 121659, 48842, 111244, 102173, 110204, 720, 353, 36370, 124424, 106422, 426, 978, 11, 328, 54161, 103824, 101798, 48842, 101798, 100705, 100683, 79328, 106831, 110847, 102507, 101798, 31074, 320, 3438, 70711, 220, 16, 8, 1174, 121498, 220, 17, 1174, 18137, 39015, 121498, 220, 16, 11, 121498, 220, 17, 198, 4815, 720, 21567, 62552, 110204, 101909, 102898, 198, 21567, 62552, 110204, 102410, 103190, 198, 21567, 62552, 110204, 100683, 126683, 36181, 198, 21567, 62552, 110204, 100683, 9702, 1412, 689, 198, 21567, 62552, 110204, 100683, 102746, 102173, 198, 21567, 62552, 110204, 100683, 445, 100988, 198, 21567, 62552, 110204, 102171, 12, 52096, 102091, 2442, 40492, 198, 21567, 62552, 110204, 100683, 101798, 31074, 198, 21567, 62552, 110204, 100683, 328, 20243, 198, 80859, 51080, 119271, 110204, 101798, 5364, 78969, 128000, 66217, 320, 10176, 52680, 118913, 39015, 29822, 11, 105717, 118913, 117654, 39015, 507, 6266, 39015, 100403, 113134, 26518, 103065, 104164, 102746, 109316, 320, 66, 100647, 8, 110166, 100788, 114515, 109708, 127845, 107559, 108039, 13, 122809, 330, 66217, 1, 101036, 103824, 358, 299, 27610, 285, 29876, 104485, 39015, 330, 82, 24976, 105450, 1, 48842, 100744, 101004, 39015, 105197, 60835, 100403, 107501, 117650, 102143, 100724, 10837, 71, 102790, 106983, 16854, 60835, 113134, 26518, 97635, 100409, 113134, 26518, 26036, 382, 39, 76150, 105386, 107559, 108039, 29876, 103586, 105197, 100403, 111802, 390, 111085, 64578, 103586, 105197, 39015, 39608, 14689, 320, 57735, 71348, 473, 102360, 107559, 108039, 14689, 8, 80768, 126825, 99270, 490, 40492, 102869, 113134, 26518, 97635, 382, 124600, 39015, 105201, 98932, 60835, 79328, 106134, 102634, 25, 549, 398, 784, 288, 328, 13, 24668, 320, 83, 38159, 5236, 64912, 705, 432, 94094, 426, 13, 53522, 320, 83, 38159, 40838, 705, 7957, 362, 13, 12471, 2630, 320, 83, 38159, 22725, 11, 356, 4168, 1494, 14361, 6406, 705, 30411, 36627, 320, 83, 38159, 4892, 48838, 705, 12656, 67493, 3258, 320, 83, 38159, 452, 3742, 705, 12656, 20462, 24172, 728, 320, 83, 38159, 36239, 705, 26713, 480, 13, 97593, 320, 83, 38159, 40491, 18238, 41234, 570, 114031, 15473, 102224, 101717, 39015, 105201, 98932, 60835, 100893, 101580, 105676, 107132, 103824, 11355, 74876, 320, 83, 38159, 39855, 3677, 43, 100954, 100886, 720, 66217, 39015, 113134, 26518, 100906, 103451, 64578, 107361, 15473, 95676, 445, 3282, 17134, 125379, 109316, 108840, 382, 53, 100988, 101582, 111639, 220, 972, 11, 108361, 103933, 103559, 102123, 79328, 105743, 98710, 102143, 80768, 1048, 62552, 103943, 11, 116893, 102951, 62858, 102061, 320, 331, 43604, 105334, 39015, 124240, 116403, 8, 100683, 102224, 382, 53, 100988, 100631, 220, 10005, 19, 11, 108361, 48842, 104491, 103115, 104854, 100790, 103033, 106035, 102481, 117130, 119949, 102655, 104033, 70186, 100403, 104053, 104854, 100920, 33254, 97635, 64578, 105475, 39015, 125948, 105931, 108361, 100409, 100524, 3067, 112764, 13, 110780, 124254, 118259, 12366, 11, 108361, 15199, 49391, 101058, 103134, 102655, 103391, 101226, 14689, 2665, 106983, 104491, 382, 2127, 71, 93530, 74625, 350, 100984, 119271, 220, 10967, 18, 272, 103685, 100557, 100932, 101724, 106035, 100313, 117523, 105900, 102984, 70186, 650, 89871, 14689, 13, 118437, 70343, 103909, 111187, 60835, 104491, 101702, 100409, 14689, 101325, 113209, 104458, 104854, 110516, 60835, 106035, 70186, 27560, 101033, 101359, 107303, 106035, 382, 39, 20103, 108039, 101700, 15473, 105956, 109278, 125379, 109316, 108840, 87239, 100631, 220, 11256, 22, 13, 14689, 110166, 70186, 105956, 109278, 125379, 109316, 108840, 13, 650, 89871, 109278, 125379, 22319, 33254, 100744, 64578, 101700, 15473, 656, 14689, 104628, 100947, 64578, 103270, 65161, 113134, 26518, 11, 100724, 105956, 109278, 125379, 109316, 108840, 104197, 74686, 101743, 14689, 101120, 103091, 107072, 100409, 104988, 100403, 127483, 104160, 102898, 106983, 109708, 60835, 101239, 101743, 14972, 320, 42987, 11843, 72, 2427, 40492, 3677, 110798, 328, 101024, 116396, 109316, 108840, 320, 26287, 11285, 31137, 25387, 705, 14689, 29876, 100540, 64578, 103270, 65161, 113134, 26518, 96094, 100920, 101724, 66626, 29876, 101194, 220, 1399, 13, 931, 100524, 13, 114919, 220, 777, 101420, 220, 17, 100631, 220, 5245, 18, 11, 106134, 102634, 34644, 104047, 100403, 103919, 103704, 60835, 102173, 101975, 63129, 101627, 14689, 39015, 113134, 26518, 103421, 220, 1114, 13, 109082, 104097, 60835, 102173, 101975, 100690, 63129, 105900, 101120, 100944, 102004, 29876, 102655, 113134, 26518, 54137, 106371, 15473, 2665, 100725, 115986, 100631, 220, 10562, 17, 11, 96094, 29974, 64578, 101627, 87239, 11, 2665, 101485, 87239, 100631, 220, 6280, 18, 106134, 102634, 89181, 104047, 100403, 103919, 103704, 63129, 105900, 101120, 220, 16, 101420, 220, 18, 100631, 220, 5245, 18, 39015, 101120, 100944, 102004, 100920, 14689, 64578, 103270, 65161, 113134, 26518, 106035, 382, 53, 100988, 100631, 220, 10750, 20, 11, 14689, 104854, 105753, 100409, 14972, 70186, 100403, 104053, 104854, 54137, 102510, 113918, 80768, 29876, 64578, 65161, 104290, 480, 867, 986, 71, 320, 983, 54122, 103091, 39015, 73377, 705, 104053, 104854, 97635, 64578, 105475, 39015, 125948, 105931, 73377, 382, 50302, 53985, 101135, 48842, 100944, 102655, 720, 1016, 43604, 105128, 60835, 14689, 39015, 32917, 11, 105798, 103498, 102748, 113134, 26518, 13, 666, 90308, 111739, 100852, 103091, 39015, 3842, 76081, 320, 52096, 101170, 116657, 107575, 705, 100409, 47151, 270, 99310, 106066, 106312, 101609, 26518, 39015, 622, 13, 423, 13, 92368, 320, 34, 102091, 107575, 8, 48842, 17530, 24409, 10690, 320, 52096, 101170, 111229, 102171, 3677, 41325, 111709, 101226, 4815, 50, 24976, 14689, 39015, 112976, 102790, 106983, 16854, 60835, 14689, 320, 331, 100474, 103954, 39015, 100788, 126381, 100959, 117650, 110099, 101071, 87239, 100631, 220, 11128, 18, 100788, 293, 77394, 127845, 60835, 107501, 117650, 8, 48842, 100937, 107240, 112976, 102790, 106983, 127845, 60835, 113134, 26518, 64578, 103954, 100743, 101036, 102690, 79587, 60835, 17030, 100647, 104620, 108844, 320, 8376, 100485, 103367, 21193, 60835, 7008, 570, 14689, 101959, 13845, 100485, 100409, 20355, 100788, 106983, 109708, 11, 14972, 100788, 106983, 127845, 11, 22319, 100788, 106983, 119928, 11, 26036, 100788, 106983, 16854, 11, 48842, 109316, 13286, 100788, 106983, 109708, 16854, 382, 45, 6151, 41038, 84, 105956, 100788, 14689, 39015, 101239, 101743, 100947, 122178, 865, 116612, 296, 101240, 11, 114571, 100403, 105956, 101743, 1343, 103783, 100690, 106983, 119928, 127845, 11, 101120, 865, 93458, 105475, 39015, 51427, 103598, 445, 104396, 350, 89039, 350, 78454, 320, 22111, 5348, 83911, 570, 650, 89871, 103033, 100947, 122178, 865, 116612, 296, 101240, 97635, 100788, 105956, 119928, 127845, 48842, 114515, 103498, 100947, 113602, 101359, 100690, 106983, 109708, 48842, 109708, 16854, 104458, 105956, 100947, 122178, 865, 116612, 296, 101240, 102962, 117872, 114425, 43261, 876, 33495, 11, 101959, 101036, 100744, 39015, 100403, 105956, 105475, 39015, 105956, 104403, 100947, 122178, 865, 116612, 296, 101240, 102962, 117872, 114425, 43261, 876, 33495, 13, 452, 6151, 41038, 84, 101338, 60835, 14689, 39015, 105956, 103033, 110099, 11, 102241, 105956, 54137, 100947, 122178, 865, 116612, 296, 101240, 102962, 101373, 103731, 43261, 876, 33495, 29876, 120939, 48842, 123376, 20921, 100807, 20921, 9769, 382, 112438, 107501, 117650, 100809, 102869, 102962, 113134, 26518, 97635, 29876, 100540, 107976, 39015, 328, 24976, 18045, 11, 328, 24976, 41472, 2117, 11, 328, 24976, 356, 4168, 1494, 14361, 11, 48842, 328, 24976, 5444, 10789, 372, 382, 42, 21538, 101831, 720, 66217, 39015, 113134, 26518, 100809, 102869, 70186, 86736, 101616, 102022, 66842, 66, 11, 63129, 105688, 11, 48842, 100937, 102367, 101419, 11, 39015, 100403, 70186, 100557, 113134, 26518, 63129, 101378, 100944, 60835, 107559, 108039, 13, 110780, 14689, 110166, 70186, 103065, 104164, 116330, 7933, 9769, 60835, 106035, 11, 111865, 101378, 101004, 107827, 40586, 109162, 100809, 102869, 70186, 101793, 101831, 60835, 113134, 26518, 13, 114031, 15473, 11, 79328, 103077, 99996, 105283, 100886, 11, 100557, 110516, 106642, 48842, 79328, 102425, 100801, 101982, 102984, 60835, 14689, 39015, 108342, 122213, 2665, 104710, 3930, 105283, 101580, 102454, 13, 473, 68757, 220, 17, 13, 2636, 102690, 48842, 220, 2031, 13, 931, 15395, 95465, 10515, 60835, 100557, 110516, 106642, 103381, 117650, 39015, 113207, 102761, 2665, 100557, 100524, 3930, 105283, 101743, 270, 101236, 11, 100524, 104174, 59801, 48842, 100524, 74686, 293, 101548, 13, 4815, 112438, 103077, 101643, 105793, 106607, 100705, 100690, 101724, 3067, 112764, 103253, 104140, 79328, 114276, 296, 38778, 48842, 79328, 103077, 101643, 101419, 78474, 110644, 64578, 100930, 100809, 102748, 103519, 103147, 100690, 105283, 100886, 382, 51, 103517, 86736, 80579, 60835, 14689, 87239, 100631, 220, 2550, 24, 39015, 220, 18509, 105397, 106035, 56884, 11, 112278, 103421, 293, 105594, 100790, 101887, 100959, 106035, 13, 36992, 63672, 101624, 101036, 100906, 100524, 60835, 113134, 26518, 87239, 100631, 220, 1049, 15, 39015, 400, 1591, 13, 3443, 320, 27847, 705, 112278, 103421, 220, 777, 70186, 100970, 100959, 13, 124710, 80579, 111865, 101378, 100944, 60835, 14689, 39015, 121319, 308, 49391, 11, 86736, 80579, 95676, 111894, 11, 7933, 9769, 11, 119599, 126719, 11, 326, 85400, 77, 11, 121945, 11, 96095, 121107, 48842, 119791, 13, 124710, 80579, 63129, 101378, 39015, 101846, 100947, 103847, 523, 79920, 11, 86736, 80579, 56884, 101278, 15199, 101439, 113922, 11, 102022, 66842, 66, 11, 102489, 103436, 100939, 102607, 48842, 101846, 100947, 101926, 382, 35, 40492, 66626, 720, 110798, 666, 90308, 108272, 111229, 66626, 100631, 220, 1049, 15, 11, 101724, 66626, 39015, 220, 806, 13, 17228, 13, 6860, 100524, 13, 111229, 66626, 102502, 102123, 220, 19, 11, 22, 4, 320, 19673, 13, 18070, 100524, 8, 779, 100409, 100631, 220, 2550, 15, 13, 85237, 102634, 108272, 220, 1049, 15, 1473, 220, 5313, 4, 320, 24, 13, 22926, 13, 20235, 100524, 8, 39015, 100524, 3067, 109938, 627, 220, 806, 11, 20, 4, 320, 16, 13, 12405, 13, 14777, 100524, 8, 39015, 100524, 3067, 114703, 627, 220, 16, 11, 24, 4, 320, 13460, 13, 4513, 100524, 8, 39015, 100524, 41985, 18137, 44862, 320, 983, 86632, 106035, 102811, 103824, 109316, 23565, 121659, 18137, 426, 71780, 125070, 121659, 4390, 220, 16, 11, 17, 4, 320, 9413, 13, 23736, 100524, 8, 39015, 100524, 106035, 112240, 114121, 43912, 627, 220, 15, 11, 17, 4, 320, 1187, 13, 21511, 100524, 8, 39015, 100524, 3067, 112764, 627, 220, 15, 11, 2437, 4, 320, 17, 13, 25541, 100524, 8, 39015, 100524, 112240, 28621, 18137, 95676, 79328, 110449, 102507, 110420, 106934, 111855, 627, 108178, 66626, 100744, 512, 220, 15, 11, 23, 4, 320, 2421, 13, 23103, 100524, 8, 39015, 102171, 983, 114227, 101419, 627, 220 ] ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	11.380143
[ [ 16, 11, 19, 4, 320, 10895, 13, 19445, 100524, 8, 39015, 100524, 29876, 113918, 124865, 100827, 627, 126078, 108442, 100524, 100944, 101036, 102171, 983, 114227, 39015, 100524, 106756, 320, 914, 11, 17, 34971, 362, 23684, 320, 717, 11, 22, 34971, 106035, 112240, 64913, 320, 806, 11, 20, 34971, 104491, 320, 24, 11, 17, 34971, 106035, 320, 23, 11, 20, 4, 4390, 21, 11, 21, 4, 101724, 66626, 14689, 104837, 220, 20, 104946, 26, 220, 914, 11, 19, 4, 104837, 220, 972, 104946, 26, 48842, 220, 1032, 11, 18, 4, 95676, 220, 2397, 104946, 103270, 102123, 13, 452, 57073, 102790, 115678, 104988, 220, 3971, 11, 19, 4, 66626, 101724, 382, 112438, 65161, 104290, 100809, 102869, 271, 47941, 78789, 107992, 271, 1305, 78969, 102724, 100705, 720, 220, 1032, 101317, 102724, 100705, 63129, 103190, 11, 70186, 100744, 101317, 102610, 101071, 39015, 104620, 100705, 127349, 26518, 14689, 627, 220, 1187, 26883, 125708, 79328, 101317, 102724, 100705, 63129, 103190, 48842, 103065, 104164, 13, 720, 220, 2790, 101317, 103762, 103981, 101781, 656, 13, 720, 220, 17, 101317, 379, 101831, 101627, 100930, 104426, 103427, 63129, 13, 720, 220, 868, 101317, 107072, 101239, 627, 220, 23, 101317, 105114, 103981, 13, 720, 1183, 28119, 220, 1187, 101317, 107535, 103190, 23526, 104033, 122667, 13, 720, 120069, 105398, 96182, 79328, 101317, 102724, 100705, 100788, 14689, 271, 1016, 34550, 116993, 103847, 101378, 271, 1016, 309, 105793, 271, 46521, 28119, 101325, 102507, 4815, 14689, 14489, 1389, 3997, 100944, 102004, 60835, 100944, 105128, 113134, 26518, 14689, 198, 350, 89039, 101373, 108361, 121201, 14689, 198, 473, 20842, 110847, 14689, 198, 666, 99310, 110847, 14689, 198, 110109, 11824, 108664, 14689, 198, 110109, 116657, 116515, 14689, 198, 126683, 57355, 14689, 320, 715, 45, 696, 720, 46451, 34550, 84, 26518, 107559, 108039, 198, 1305, 2234, 109316, 107559, 108039, 198, 34, 62131, 84, 102962, 103077, 48842, 124436, 101677, 105354, 104491, 100683, 114121, 106035, 198, 34, 62131, 84, 102962, 103077, 60835, 108361, 128000, 46510, 320, 764, 17099, 106038, 100558, 330, 23389, 76646, 63837, 51458, 5392, 72, 7561, 1, 18137, 330, 23389, 76646, 63837, 78, 103400, 5392, 72, 7561, 498, 103914, 105314, 25, 330, 23389, 76646, 63837, 78, 103400, 5392, 4317, 4063, 101717, 64578, 100524, 101798, 105475, 348, 102675, 118913, 39015, 3400, 72, 18137, 110641, 106038, 473, 11644, 101798, 39015, 356, 62131, 84, 13818, 112525, 11, 39015, 100403, 113134, 26518, 11457, 107931, 106983, 119928, 60835, 107559, 108039, 13, 111559, 101724, 66626, 39015, 220, 1987, 106002, 100524, 48842, 104160, 102898, 220, 14487, 11, 931, 13437, 30556, 320, 11286, 11, 16496, 9686, 17, 705, 102610, 101194, 101798, 31074, 320, 16707, 11, 931, 13437, 17, 8, 7188, 39015, 113134, 26518, 109708, 101724, 101071, 107559, 108039, 48842, 102610, 103421, 13081, 101036, 104160, 102898, 382, 124600, 39015, 105201, 98932, 60835, 106134, 102634, 12131, 42726, 320, 83, 38159, 816, 269, 4749, 39162, 3677, 41325, 111709, 101226, 4815, 46510, 597, 41038, 116336, 100409, 110420, 106934, 111855, 11, 19313, 11, 27966, 11, 17368, 48842, 113134, 26518, 426, 19580, 7188, 60835, 63271, 13, 127349, 26518, 97635, 29876, 100937, 106642, 101781, 102536, 101750, 105450, 11, 103253, 104140, 10913, 13345, 106513, 436, 109285, 11, 120939, 101373, 11, 829, 296, 102696, 112436, 308, 93402, 11, 48842, 62858, 124970, 294, 66862, 76, 293, 77394, 107931, 105450, 13, 111559, 104160, 102898, 220, 17337, 11, 931, 4194, 16400, 30556, 320, 6330, 11, 931, 9686, 17, 705, 101176, 39015, 113134, 26518, 102610, 103421, 13081, 60835, 107559, 108039, 48842, 102610, 101194, 100970, 100959, 106756, 48842, 101004, 100558, 101798, 31074, 13, 473, 92112, 105530, 79328, 65161, 104290, 102610, 60835, 113134, 26518, 110166, 104180, 18137, 105798, 293, 77394, 107931, 110420, 106934, 111855, 11, 109130, 108468, 102339, 39015, 9853, 12167, 11, 5960, 13175, 11, 5960, 11097, 11, 5843, 13011, 11, 30781, 11, 16376, 33238, 14, 2232, 73215, 8215, 11, 48842, 5960, 18842, 13, 107386, 102536, 11, 102711, 105128, 60835, 113134, 26518, 11, 41334, 11, 39015, 100403, 65161, 104290, 102610, 110166, 70186, 270, 2234, 326, 100883, 102746, 102748, 13, 102746, 102748, 103077, 101226, 60835, 113134, 26518, 102962, 100690, 108840, 48950, 11, 7188, 382, 41325, 111709, 101226, 7188, 106284, 1343, 6792, 11, 123992, 118418, 48842, 105206, 105765, 13, 15754, 102596, 113134, 26518, 29876, 270, 2234, 326, 100883, 102746, 102748, 11, 100403, 270, 2234, 326, 100883, 102610, 11, 103680, 100795, 94, 64578, 103253, 114708, 104458, 100557, 294, 111732, 120939, 293, 77394, 107931, 100788, 106983, 119928, 11, 294, 111732, 120939, 108972, 16109, 275, 36903, 27966, 100788, 106983, 109708, 11, 294, 111732, 120939, 57870, 29876, 108972, 119942, 100788, 114515, 127845, 11, 48842, 294, 111732, 120939, 45989, 613, 2113, 100788, 114515, 16854, 13, 104305, 117650, 11, 15199, 37845, 100959, 11, 48842, 126196, 124613, 95676, 79328, 120939, 80768, 259, 110303, 270, 2234, 326, 100883, 102746, 102748, 13, 452, 8890, 103290, 100959, 60835, 101338, 102610, 113134, 26518, 656, 125829, 102770, 452, 100494, 127349, 26518, 103641, 101386, 13, 125829, 102770, 666, 2234, 326, 100883, 102746, 102748, 104426, 103427, 102165, 102634, 100959, 60835, 100403, 66626, 65161, 104290, 11, 102241, 102171, 105334, 103641, 101386, 2665, 100769, 259, 110303, 102673, 111865, 101378, 13, 91553, 77394, 308, 89416, 348, 10515, 11, 111802, 390, 117650, 80226, 104602, 106513, 48842, 111202, 80768, 2665, 111802, 65161, 104290, 104089, 103077, 320, 17134, 52458, 39015, 12937, 783, 8, 64578, 103270, 65161, 118728, 100970, 983, 13, 102746, 326, 100883, 102746, 102748, 112436, 308, 93402, 48842, 103680, 100795, 94, 39015, 103498, 102748, 111865, 101378, 60835, 7188, 48842, 116330, 100403, 101338, 102610, 106510, 112228, 100932, 60835, 106035, 13, 107386, 102536, 11, 100769, 116330, 490, 112970, 100947, 259, 89702, 109725, 104458, 107421, 100447, 110099, 105798, 101643, 109708, 70186, 112199, 109708, 13, 2405, 7583, 16854, 60835, 270, 2234, 326, 100883, 11, 100403, 101338, 39015, 829, 296, 102696, 11, 64578, 105475, 39015, 270, 2234, 326, 100883, 5960, 11186, 64, 36444, 11, 656, 100959, 124613, 109968, 117650, 5960, 11186, 64, 36444, 11, 101717, 106983, 127845, 64578, 105475, 39015, 270, 2234, 326, 100883, 41334, 11, 656, 100959, 124613, 109968, 117650, 41334, 13, 113917, 125379, 101740, 17134, 41334, 4194, 4235, 5960, 11186, 64, 36444, 104953, 39015, 105743, 117650, 100809, 102869, 104426, 103427, 102165, 98932, 110649, 100959, 296, 112855, 48842, 104953, 39015, 105493, 100959, 102171, 105334, 60835, 101338, 102610, 101724, 110720, 113134, 26518, 382, 35, 111732, 120939, 36903, 27966, 320, 83, 96063, 330, 67, 111732, 120939, 259, 104558, 1, 70186, 103824, 109316, 23565, 121659, 8, 100788, 106983, 109708, 48842, 103498, 102748, 113134, 26518, 11, 29876, 120939, 67197, 39015, 15199, 113593, 120939, 101373, 101071, 70186, 220, 2166, 113134, 26518, 320, 19, 11, 18245, 36252, 320, 975, 11, 17786, 7693, 4682, 105322, 294, 111732, 36903, 101717, 29876, 103078, 98583, 102173, 96095, 95927, 48842, 102690, 96986, 320, 76, 95413, 102690, 100959, 123694, 111202, 48842, 39015, 102690, 102610, 101071, 60835, 113134, 26518, 101036, 100540, 102898, 570, 121777, 106983, 109708, 60835, 294, 111732, 36903, 39015, 270, 2234, 326, 100883, 64457, 48842, 102690, 12980, 4194, 4235, 105201, 98932, 103978, 102171, 105334, 60835, 38094, 107931, 13, 356, 101240, 103381, 106983, 119928, 39015, 102690, 12292, 11, 102690, 100959, 123694, 102610, 101071, 60835, 7188, 101036, 104160, 102898, 13, 650, 100988, 112199, 109708, 11, 107421, 100447, 100788, 294, 111732, 36903, 27966, 109968, 101833, 107421, 100447, 107827, 122178, 48842, 100788, 102224, 29876, 62858, 523, 93804, 107501, 117650, 122178, 104197, 11, 70186, 100744, 29876, 117650, 122178, 106862, 16854, 60835, 107559, 108039, 11, 117650, 122178, 11165, 285, 1037, 382, 49, 105477, 3091, 105128, 104988, 220, 1758, 4, 105596, 104160, 102898, 113134, 26518, 48842, 7188, 29876, 100937, 101278, 93530, 101194, 103938, 102880, 113134, 26518, 102176, 101419, 13, 126573, 104160, 102898, 123376, 11, 7188, 99227, 112278, 33254, 28366, 116839, 108116, 102833, 104097, 123376, 101036, 104160, 102898, 104197, 101194, 100403, 66626, 113134, 26518, 101419, 13, 121498, 102610, 60835, 123376, 100788, 102224, 100788, 106983, 119928, 127845, 113134, 26518, 48842, 2463, 70343, 106983, 119928, 294, 111732, 36903, 27966, 13, 109946, 112334, 123376, 104197, 101194, 100409, 102171, 105334, 39015, 106510, 274, 102490, 294, 83126, 101036, 100557, 294, 111732, 120939, 7188, 105798, 293, 77394, 107931, 101194, 11, 48842, 100970, 100557, 100939, 72, 110099, 104837, 107747, 294, 111732, 36903, 27966, 13, 109946, 123376, 93530, 104197, 101194, 29876, 100788, 79328, 294, 111732, 120939, 5960, 39843, 48842, 5960, 86857, 100788, 114515, 31074, 7188, 101004, 100558, 100790, 100557, 105956, 120939, 100788, 114515, 103498, 111632, 5960, 18842, 382, 107237, 829, 296, 102696, 100788, 7188, 115678, 220, 914, 4, 105596, 104160, 102898, 13, 121524, 114515, 16854, 29876, 294, 111732, 120939, 4149, 4550, 48842, 100403, 102690, 100959, 296, 112855, 102610, 4194, 4235, 107931, 8375, 783, 13, 16233, 296, 102696, 106983, 103498, 16854, 64578, 105475, 39015, 90437, 525, 13, 2405, 7583, 109708, 16854, 60835, 829, 296, 102696, 97635, 39015, 270, 2234, 326, 100883, 921, 52680, 11, 39015, 105201, 29876, 11717, 13284, 24492, 4194, 4235, 101643, 110099, 101071, 48842, 112436, 101071, 60835, 108840, 106035, 13, 51427, 100847, 110099, 101071, 60835, 270, 2234, 326, 100883, 921, 52680, 101359, 15199, 113593, 60835, 120939, 67197, 106844, 101194, 220, 15805, 4194, 16400, 320, 1049, 294, 66862, 76, 570, 1221, 100524, 80226, 111802, 103528, 107780, 126675, 74686, 101625, 95676, 101643, 97635, 101833, 101643, 122454, 48842, 100524, 107132, 103824, 101071, 39015, 12336, 31782, 339, 820, 13, 122529, 100930, 115816, 100558, 100970, 114515, 109708, 16854, 7188, 39015, 829, 296, 102696, 113919, 272, 100718, 77, 48842, 112436, 118393, 11, 48842, 79328, 270, 2234, 326, 100883, 28275, 6985, 48842, 31013, 102127, 29876, 107421, 100447, 101750, 101373, 87239, 112199, 120221, 382, 45, 103930, 101036, 293, 77394, 107931, 105581, 48842, 109708, 15199, 101439, 101724, 110720, 60835, 7188, 39015, 111802, 103065, 104164, 109701, 101925, 102610, 11, 103253, 104140, 5960, 11097, 4235, 24661, 13175, 4235, 86939, 1974, 11, 9853, 12167, 4235, 6720, 13011, 11, 16376, 33238, 4235, 40, 67674, 4235, 81686, 21215, 11, 48842, 5960, 18842, 13, 120029, 103839, 105798, 110420, 106934, 111855, 101750, 108387, 77, 107575, 779, 100409, 100557, 105256, 111623, 70186, 103033, 119103, 13, 452, 6151, 26298, 83, 100447, 54137, 103253, 104415, 109968, 101833, 101643, 109708, 87239, 112199, 109708, 320, 71, 92112, 100558, 54137, 29876, 259, 104558, 8, 48842, 107421, 100447, 15960, 27160, 76, 96094, 102123, 100790, 220, 966, 32037, 320, 70, 70711, 220, 1490, 59572, 3677, 46510, 64578, 102613, 100725, 100409, 100801, 103033, 102481, 29876, 100937, 124715, 106727, 83, 342, 111732, 11, 101071, 39015, 124715, 106727, 83, 342, 111732, 5960, 51162, 13, 107386, 100788, 100937, 113134, 26518, 101419, 100558, 28366, 11, 6652, 11, 19313, 11, 48842, 25378, 80226, 112545, 15473, 79328, 107728, 100801, 103033, 101750, 104504, 320, 70, 100520, 15473, 104458, 124715, 106727, 83, 342, 111732, 1561, 25048, 705, 102241, 100937, 100524, 102613, 100725, 100557, 100801, 103033, 100788, 7188, 101194, 102481, 101806, 112545, 15473, 102127, 112044, 48842, 18137, 112545, 15473, 100788, 100557, 105956, 109708, 101724, 110720, 382, 46510, 101004, 29876, 111802, 120939, 119942, 11, 100403, 66626, 101717, 102425, 100801, 100558, 120939, 119942, 48869, 68504, 13, 109946, 120939, 119942, 101419, 103253, 104140, 15199, 113593, 445, 28376, 11, 101176, 1343, 359, 308, 5721, 270, 101765, 95676, 220, 7529, 19, 100725, 220, 5926, 16, 11, 48842, 120939, 119942, 1443, 14635, 382, 107237, 65161, 104290, 100809, 102869, 720, 46451, 34550, 84, 26518, 7188, 29876, 220, 22086, 65161, 104290, 11, 70186, 100744, 101338, 102610, 110166, 70186, 100557, 103065, 104164, 109701, 101925, 102610, 13, 220, 2614, 4, 60835, 101724, 110720, 7188, 103978, 70186, 47151, 103065, 104164, 109701, 101925, 102610, 101071, 104140, 105956, 104620, 9853, 12167, 48842, 105956, 101740, 17134, 5960, 13175, 382, 35, 40492, 66626, 111802, 65161, 104290, 102610, 320, 1049, 15, 997, 9853, 12167, 25, 220, 18, 13, 25392, 13, 18248, 198, 5960, 11097, 25, 220, 26227, 13, 26576, 198, 5960, 13175, 25, 220, 23823, 13, 24865, 198, 5960, 18842, 25, 220, 16, 13, 12533, 13, 3443, 271, 107237, 63129, 98583, 102975, 96095, 720, 35, 100954, 101615, 120907, 102173, 96095, 320, 45, 5119, 8, 103391, 101226, 100937, 63129, 98583, 102975, 96095, 100788, 7188, 1473, 51427, 100766, 1708, 4719, 8875, 105798, 5960, 13175, 198, 126683, 111639, 113632, 102173, 96095, 99894, 22532, 100683, 5960, 18842, 198, 118018, 296, 101240, 7188, 198, 103078, 98583, 102173, 96095, 3489, 70711, 110449, 469, 78, 107931, 105798, 85754, 198, 103078, 98583, 102173, 96095, 666, 2234, 326, 100883, 921, 52680, 198, 126683, 111639, 113632, 102173, 96095, 60054, 3962, 12470, 105798, 48869, 68504, 42679, 198, 121452, 108546, 113632, 51558, 507, 88805, 100683, 11824, 8078, 198, 2405, 78789, 126096, 5236, 83, 38159, 4203, 307, 822, 198, 121452, 101982, 102984, 102173, 96095, 356, 103517, 650, 52649, 70186, 5960, 13175, 198, 121452, 108546, 113632, 3842, 15130, 404, 100683, 44027, 198, 103078, 98583, 102173, 96095, 40592, 9119, 11, 117365, 102915, 100683, 12015, 306, 1910, 483, 11165, 1026, 198, 118018, 296, 101240, 29604, 426, 2784, 9265, 409, 1556, 4458, 198, 103078, 98583, 102173, 96095, 24980, 41560, 198, 103078, 98583, 102173, 96095, 452, 107579, 119942, 445, 28376, 105798, 50416, 198, 126683, 111639, 113632, 102173, 96095, 109090 ] ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	11.042361
[ [ 86636, 308, 5721, 105798, 350, 1130, 63210, 198, 1183, 38159, 342, 5038, 2418, 50226, 277, 100683, 44177, 198, 121452, 101677, 113182, 102173, 96095, 90437, 525, 11, 117365, 102915, 100683, 4821, 267, 363, 198, 126683, 111639, 113632, 102173, 96095, 15130, 404, 35848, 100683, 666, 2234, 326, 100883, 8384, 198, 118018, 296, 101240, 109316, 23565, 121659, 356, 100647, 198, 126683, 111639, 113632, 102173, 96095, 393, 6258, 18709, 105798, 16056, 292, 1572, 198, 426, 77394, 107931, 102173, 96095, 386, 117225, 77259, 105798, 386, 117225, 77259, 198, 118018, 296, 101240, 69135, 17855, 198, 126683, 111639, 113632, 102173, 96095, 112000, 15199, 50986, 110647, 105386, 356, 101170, 10780, 100683, 1183, 102360, 119644, 105256, 110647, 105386, 64193, 198, 103078, 98583, 102173, 96095, 3816, 6798, 198, 103078, 98583, 105283, 100886, 102173, 96095, 473, 103823, 102282, 125948, 105931, 101582, 102790, 103421, 47151, 97867, 279, 51768, 1430, 100683, 35348, 198, 103078, 98583, 105283, 100886, 102173, 96095, 125033, 118728, 5960, 13175, 198, 121452, 101982, 102984, 102173, 96095, 423, 111732, 120939, 16376, 46844, 198, 103078, 98583, 102173, 96095, 356, 43604, 259, 89871, 720, 121452, 101982, 102984, 102173, 96095, 1254, 47190, 28931, 105798, 1254, 47190, 28931, 198, 103078, 98583, 102173, 96095, 95927, 271, 43, 100954, 100886, 4815, 1305, 100494, 96094, 100524, 114121, 117643, 100725, 7188, 101105, 102224, 39015, 100403, 70186, 100557, 105956, 105206, 105765, 100690, 103353, 102061, 48842, 119271, 110204, 101071, 100788, 108840, 106035, 101227, 125379, 101724, 13, 452, 6151, 41038, 84, 100524, 100788, 293, 77394, 107931, 106983, 119928, 107559, 108039, 30094, 77, 100557, 390, 116403, 107931, 11, 106821, 59801, 109195, 48842, 78474, 20921, 101010, 259, 95465, 272, 4381, 11, 70186, 96094, 100557, 101724, 114227, 101126, 100801, 101194, 100788, 103381, 70186, 7188, 74686, 30094, 77, 116403, 123376, 48842, 43222, 72, 326, 44737, 76, 100557, 101997, 305, 101765, 11, 101997, 100906, 11, 48842, 101997, 296, 102419, 13, 104305, 101724, 114227, 100788, 7188, 29876, 100937, 101157, 102004, 101744, 101774, 101419, 103321, 100558, 108442, 11, 101625, 113079, 11, 113134, 101625, 113079, 11, 48842, 79328, 107072, 101239, 102610, 101194, 100790, 293, 77394, 6160, 70343, 294, 102490, 294, 100988, 102312, 103731, 100558, 101724, 114227, 921, 372, 1003, 11, 393, 16279, 11, 48842, 8375, 20718, 13, 114195, 1048, 62552, 103943, 11, 118481, 101121, 101419, 101724, 114227, 11, 48842, 101609, 105676, 105386, 100930, 100724, 2665, 100557, 101724, 114227, 101419, 103321, 29876, 100937, 115390, 101609, 102165, 103254, 101975, 48842, 101793, 101831, 382, 23307, 3496, 37485, 1157, 27200, 31660, 6292, 100524, 426, 71780, 125070, 121659, 39015, 100524, 114121, 117643, 100906, 103451, 270, 36334, 109092, 100403, 101338, 293, 77394, 107931, 7188, 100631, 220, 10559, 17, 13, 356, 101240, 26184, 42865, 39015, 100524, 100906, 103451, 270, 36334, 109092, 100970, 293, 77394, 107931, 48842, 115884, 105900, 102171, 102655, 101702, 100409, 105956, 103033, 97635, 100631, 220, 10895, 24, 13, 112367, 107690, 101582, 111639, 220, 972, 11, 79328, 101975, 104208, 104300, 109316, 23565, 121659, 80226, 103933, 103559, 79328, 114276, 124416, 101750, 104197, 100790, 100557, 105956, 103033, 103427, 101386, 102610, 24040, 103517, 326, 71780, 102962, 114515, 106513, 436, 109285, 100690, 106983, 127845, 60835, 426, 19580, 7188, 382, 51341, 100906, 11, 105956, 103033, 29876, 105197, 7188, 103253, 104140, 105956, 119928, 127845, 60835, 51427, 27160, 102975, 109316, 23565, 121659, 11, 110939, 39015, 103943, 110449, 426, 19580, 7188, 320, 39, 20842, 7188, 705, 48842, 101338, 102610, 100557, 105956, 103033, 100852, 103091, 60835, 79328, 113134, 26518, 7188, 11, 27966, 11, 23195, 11, 17368, 11, 48842, 49832, 11, 64578, 105475, 39015, 83160, 7188, 320, 1016, 99310, 7188, 570, 105322, 101227, 103475, 100906, 11, 100557, 10837, 71, 102790, 60835, 107931, 36775, 10333, 48842, 293, 77394, 107931, 110420, 106934, 111855, 104403, 64578, 270, 36334, 109092, 107114, 104602, 11, 2665, 101485, 7188, 64578, 123531, 100558, 100403, 305, 101240, 110449, 100790, 100557, 101764, 100939, 101227, 100744, 13, 122809, 7188, 64578, 103586, 15473, 2665, 105956, 97635, 101036, 305, 101240, 110449, 113079, 98583, 7188, 70186, 16132, 1446, 40625, 409, 9419, 501, 65674, 11644, 320, 107237, 490, 102209, 23526, 102069, 105438, 60835, 52298, 438, 1122, 705, 100403, 113134, 114921, 103824, 109316, 23565, 121659, 656, 12471, 5979, 57825, 71437, 28700, 409, 9995, 278, 3415, 105717, 87239, 101582, 111639, 220, 845, 382, 53, 89871, 103033, 97635, 29876, 100524, 125379, 101724, 102259, 96094, 29876, 79328, 104053, 270, 36334, 109092, 326, 30441, 15199, 30441, 60835, 100524, 114121, 117643, 87239, 101582, 111639, 220, 845, 13, 51427, 71348, 107690, 101582, 111639, 220, 972, 11, 109316, 23565, 121659, 115678, 105956, 97635, 65161, 102962, 103077, 60835, 102140, 13, 114482, 96094, 12550, 125170, 64578, 107535, 103190, 70186, 104053, 125948, 105931, 125170, 107535, 103190, 63271, 320, 10562, 15, 4235, 10828, 16, 705, 7188, 65161, 100403, 101338, 60835, 100959, 97635, 13, 473, 68757, 220, 1049, 100631, 33254, 96094, 12550, 125170, 64578, 107535, 103190, 11, 7188, 39015, 103367, 72900, 102962, 114515, 127845, 60835, 102975, 96095, 13, 104305, 490, 38159, 101750, 102610, 111597, 121945, 11, 64578, 105475, 10837, 971, 11, 103270, 65161, 102489, 100447, 100944, 60835, 7188, 102962, 12550, 13, 104305, 103997, 96095, 48842, 100932, 101724, 104470, 100906, 100725, 95676, 107559, 108039, 11, 102911, 101882, 100557, 104115, 102951, 102961, 125958, 100770, 112545, 15473, 24040, 103968, 114515, 7188, 382, 53, 100988, 101227, 103475, 97635, 11, 100403, 66626, 109878, 114227, 115668, 101004, 110832, 270, 36334, 109092, 48842, 115884, 105900, 102171, 102655, 100403, 101338, 7188, 11, 102241, 79328, 103528, 270, 36334, 109092, 97635, 54137, 65161, 63129, 656, 16233, 112659, 54137, 100809, 102748, 48842, 656, 100944, 105128, 12550, 103933, 103559, 100403, 66626, 1343, 78789, 126096, 320, 24544, 307, 822, 8, 80768, 523, 112855, 100557, 104053, 865, 87828, 63672, 87239, 114515, 97635, 13, 7188, 54137, 29876, 100937, 100524, 98932, 103978, 2665, 100725, 96094, 379, 100705, 100852, 102724, 101278, 114571, 64578, 100930, 293, 89871, 308, 61357, 79328, 103893, 66626, 83, 111014, 11, 66626, 83, 9517, 83, 11, 48842, 102090, 305, 101765, 104991, 15473, 104458, 12097, 85553, 48842, 293, 42703, 523, 10515, 11, 100557, 104676, 100770, 100947, 13845, 52680, 112594, 96094, 100947, 109708, 112501, 11, 100920, 100788, 7188, 86952, 110988, 101309, 97635, 382, 115114, 12550, 125170, 64578, 107535, 103190, 95676, 109316, 23565, 121659, 101105, 79328, 101975, 104208, 104300, 109316, 23565, 121659, 100683, 7188, 102962, 100690, 100944, 105128, 12550, 11, 48842, 100501, 348, 100672, 111014, 101982, 259, 11644, 48842, 293, 109285, 105118, 100557, 101975, 97635, 13, 107386, 102536, 11, 100937, 65161, 104290, 102610, 60835, 7188, 80226, 101580, 102454, 117130, 114708, 100557, 101975, 104208, 104300, 97635, 11, 104458, 103453, 100557, 65161, 104290, 100744, 29876, 105197, 270, 100951, 11, 115248, 100533, 100558, 9853, 12167, 64578, 103586, 105197, 101036, 106756, 124297, 23880, 11, 5960, 13175, 101036, 126187, 2405, 276, 14668, 9769, 65161, 2755, 13532, 11, 5960, 11097, 101036, 126187, 15754, 817, 11, 48842, 5960, 18842, 101036, 126187, 51427, 72, 52096, 582, 9769, 382, 53, 100988, 125948, 105931, 106035, 5364, 327, 4042, 320, 10336, 21, 4235, 10336, 23, 705, 100524, 101724, 106035, 107132, 102123, 105084, 86952, 100944, 105128, 12550, 13, 113093, 100906, 103451, 60835, 104053, 104854, 11, 220, 10336, 21, 11, 116657, 107575, 7188, 64578, 65161, 103190, 48842, 356, 77394, 480, 101551, 85307, 23542, 13, 1183, 28119, 54738, 272, 77394, 97635, 29876, 101157, 100403, 390, 342, 101551, 111014, 48842, 100403, 114276, 104372, 13, 107386, 102536, 11, 108342, 107072, 107575, 100947, 122700, 294, 117575, 119949, 7933, 95413, 96094, 60223, 93699, 108818, 3842, 423, 13, 328, 1261, 60835, 110647, 105386, 107559, 108039, 104878, 87239, 101740, 17134, 5960, 13175, 48842, 115884, 105900, 102171, 102655, 60835, 107559, 108039, 101702, 100409, 7188, 13, 42116, 104854, 105931, 11, 7188, 100947, 107361, 65161, 220, 17, 101338, 102962, 12550, 320, 764, 7583, 16854, 8, 48842, 107559, 108039, 320, 764, 7583, 127845, 570, 121498, 106983, 127845, 11, 100906, 103451, 64578, 105475, 83160, 7188, 11, 105757, 103270, 65161, 113134, 26518, 7188, 102962, 107559, 108039, 26, 101717, 101338, 106983, 16854, 64578, 12550, 107361, 65161, 47151, 113134, 26518, 426, 19580, 7188, 48842, 426, 19580, 7188, 8242, 382, 53, 100988, 100631, 220, 10336, 23, 11, 29876, 104988, 220, 19, 13, 931, 100524, 109316, 23565, 121659, 100788, 105956, 270, 99310, 7188, 101833, 87239, 100524, 11, 102241, 111014, 80226, 64578, 101580, 15960, 26298, 76, 105798, 41334, 11, 100724, 2665, 100937, 100524, 100725, 102224, 95676, 106035, 11, 117643, 113917, 11, 48842, 100557, 105201, 101419, 100409, 6409, 111261, 103765, 111014, 70186, 104053, 102510, 865, 9769, 103765, 111014, 100788, 7188, 100631, 220, 10336, 24, 13, 3234, 100744, 11, 101750, 100937, 100524, 63672, 110720, 87239, 114515, 97635, 11, 48842, 7188, 64578, 103270, 65161, 113134, 26518, 103421, 220, 2148, 60835, 107559, 108039, 100631, 220, 9741, 15, 13, 108856, 113134, 26518, 97635, 96095, 63672, 104540, 26518, 11, 101176, 64578, 116523, 39015, 100403, 70186, 100557, 113134, 26518, 101781, 656, 11, 110939, 39015, 101176, 272, 103685, 102489, 100447, 308, 9769, 104097, 382, 41325, 92112, 103451, 11, 100769, 74686, 86952, 86952, 104807, 114515, 109316, 48842, 79328, 103498, 102748, 100788, 114515, 108625, 259, 101663, 101105, 104415, 48842, 112208, 109092, 13, 125303, 102054, 101058, 74686, 101036, 79328, 123730, 102761, 107931, 105581, 101535, 74686, 101743, 83890, 7933, 103416, 18137, 74686, 101625, 101750, 104821, 110491, 100790, 100557, 390, 102761, 103033, 13, 113093, 220, 9714, 24, 11, 102761, 83890, 119942, 112044, 120593, 103077, 100906, 103451, 64578, 103313, 65161, 11, 101700, 15473, 100403, 127540, 74686, 116765, 101194, 13, 42116, 100744, 11, 62858, 124970, 7933, 89702, 100524, 106035, 101833, 7188, 11, 105201, 100557, 100524, 93205, 100725, 117051, 109725, 15473, 103456, 103914, 259, 110303, 103033, 87239, 100557, 101420, 120221, 113919, 272, 50986, 11, 103033, 100744, 101750, 100827, 80768, 116330, 106510, 102607, 101997, 48842, 100724, 111865, 101378, 102811, 105976, 13, 104305, 101278, 106510, 108024, 6730, 934, 97700, 64578, 116330, 109908, 103436, 320, 17134, 52458, 39015, 106510, 6730, 705, 48842, 95676, 100744, 104710, 86736, 101616, 111865, 101378, 7188, 104470, 100906, 101750, 65161, 63129, 100725, 101120, 103091, 382, 41325, 92112, 101582, 111639, 220, 508, 11, 100930, 1891, 122342, 100725, 7188, 102502, 105314, 33254, 96094, 103313, 65161, 100557, 390, 102761, 112044, 120593, 103077, 102610, 100558, 118018, 25379, 48842, 1630, 64, 116110, 220, 2287, 13, 112367, 220, 7028, 15, 100725, 220, 5162, 20, 11, 101724, 66626, 7188, 102502, 101833, 105798, 100403, 106002, 48842, 7188, 103270, 65161, 113134, 26518, 109708, 101724, 101071, 104540, 26518, 13, 112367, 100631, 220, 5162, 20, 100725, 103091, 11, 101121, 98710, 60835, 113134, 26518, 104115, 102951, 103313, 101887, 100724, 7188, 103270, 65161, 100403, 70186, 100557, 103077, 101643, 29876, 100937, 102171, 983, 101278, 100524, 101071, 100790, 101582, 102790, 13, 112943, 72, 105976, 11, 113134, 26518, 29876, 103065, 1910, 71, 103628, 101781, 656, 11, 105744, 102613, 100690, 105114, 103981, 48842, 103353, 102061, 11, 48842, 39015, 103498, 102748, 102975, 101831, 100690, 63129, 13892, 105114, 103981, 11, 104710, 63129, 101378, 101926, 102620, 48842, 104208, 101157, 11, 63129, 101378, 106038, 111761, 11, 48842, 104710, 86736, 101616, 111865, 101378, 80226, 102811, 100788, 100790, 382, 80859, 40492, 98710, 271, 35, 40492, 66626, 4815, 126078, 220, 1049, 21, 11, 7188, 29876, 104988, 220, 1927, 13, 9413, 13, 10288, 100524, 11, 102502, 220, 13754, 13, 7743, 100524, 18137, 220, 15, 11, 23, 4, 779, 100409, 100631, 220, 1049, 20, 48842, 102502, 220, 17, 13, 11387, 13, 22054, 100524, 18137, 220, 21, 11, 22, 4, 779, 100409, 100631, 220, 1049, 15, 13, 111559, 105397, 104097, 102502, 97635, 11, 7188, 112278, 62858, 103421, 220, 1032, 70186, 66626, 79328, 113134, 26518, 102502, 101724, 66626, 105314, 101071, 13, 112553, 100524, 102502, 102123, 104140, 220, 16, 13, 23906, 13, 7261, 102502, 104788, 101781, 102536, 320, 17, 13, 21893, 13, 23033, 100524, 98932, 114571, 220, 16, 13, 10697, 13, 20465, 100524, 112594, 8, 48842, 220, 23986, 13, 19391, 100524, 63672, 110720, 13, 7188, 39015, 113134, 26518, 109708, 101724, 101071, 100409, 100790, 220, 717, 4, 100524, 106035, 103978, 100683, 102224, 13, 107005, 39015, 100403, 102975, 96095, 107000, 11, 7188, 100770, 39015, 100959, 109708, 101724, 103421, 220, 1958, 100790, 101582, 102790, 13, 7188, 100937, 101194, 7008, 220, 19, 106002, 101724, 382, 1163, 114884, 114227, 4815, 116305, 105936, 114227, 102176, 115678, 105206, 66626, 100683, 7188, 13, 110992, 39015, 100403, 70186, 13081, 113134, 26518, 320, 46510, 11, 28621, 48842, 1561, 12550, 8, 100920, 100524, 119293, 66626, 100937, 101194, 100524, 3067, 109938, 13, 109796, 3067, 109938, 54137, 29876, 112240, 95676, 114121, 106035, 20023, 71, 103610, 39015, 108442, 109708, 101071, 11, 102241, 100501, 54137, 115678, 102724, 105206, 66626, 13, 109796, 112240, 95676, 114121, 106035, 20023, 71, 115678, 100790, 100403, 101338, 13081, 66626, 101724, 26, 79328, 108442, 101419, 11, 101036, 103421, 101781, 39015, 25, 109796, 106035, 112240, 43912, 11, 109796, 106035, 112240, 64913, 48842, 109796, 125379, 101724, 3067, 112764, 382, 53, 24439, 29876, 100937, 100524, 63672, 110720, 95676, 114121, 106035, 20023, 71, 11, 101071, 39015, 95676, 63271, 11, 48842, 102833, 104097, 98932, 86736, 60835, 100524, 106035, 20023, 71, 101373, 101194, 11, 79328, 100893, 107829, 104825, 1343, 86242, 983, 119121, 103456, 100501, 100770, 115678, 105206, 66626, 87239, 100631, 220, 7854, 15, 13, 7188, 29876, 102833, 104097, 100524, 112240, 114121, 43912 ] ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	11.478366
[ [ 101373, 103421, 20921, 24439, 101887, 102975, 11, 99227, 33254, 28621, 382, 21567, 62552, 110204, 720, 51, 100474, 100725, 100631, 220, 1049, 15, 11, 66626, 100524, 7188, 95676, 220, 20, 104946, 103270, 102123, 100886, 100610, 103824, 104491, 48842, 103824, 109316, 23565, 121659, 100683, 100893, 103528, 122864, 39015, 220, 1399, 11, 20, 4, 48842, 220, 914, 11, 23, 14697, 124942, 102746, 102173, 112278, 103421, 13081, 100409, 220, 17, 11, 21, 13689, 33254, 100744, 39015, 103824, 12633, 32051, 320, 17, 11, 15, 11587, 48842, 103824, 101798, 320, 16, 11, 18, 95181, 114422, 100790, 220, 1041, 119271, 110204, 125379, 101724, 100683, 102224, 11, 102241, 115816, 105530, 102250, 100788, 103578, 106860, 17154, 100403, 13, 112367, 100631, 220, 3753, 21, 11, 21694, 71348, 101135, 7188, 80226, 99227, 100743, 103824, 104491, 100724, 119271, 110204, 109908, 93530, 48842, 100944, 102004, 70186, 113134, 26518, 382, 51, 62552, 104300, 720, 120403, 101724, 7188, 101036, 79328, 116521, 104300, 33254, 320, 679, 19, 997, 21625, 9769, 104300, 4194, 4235, 220, 2075, 14062, 113716, 101975, 103078, 104300, 432, 9769, 1764, 4194, 4235, 220, 843, 14062, 57355, 445, 49391, 4194, 4235, 220, 1591, 14062, 43748, 4194, 4235, 220, 23, 14062, 1183, 101321, 445, 3496, 4194, 4235, 220, 18, 14062, 117726, 117642, 4194, 4235, 220, 17, 14062, 113716, 101975, 36302, 4194, 4235, 220, 17, 14062, 104305, 104300, 101975, 20774, 100659, 112874, 101419, 4194, 4235, 220, 1419, 14062, 104305, 104300, 127019, 21625, 9769, 101419, 4194, 4235, 220, 18, 14062, 3234, 110420, 104300, 4194, 4235, 220, 17, 14062, 111856, 104300, 4194, 4235, 220, 17, 14062, 473, 102490, 104300, 4194, 4235, 220, 16, 14062, 104305, 116521, 104300, 101419, 4194, 4235, 220, 18, 14062, 109306, 116521, 104300, 4194, 4235, 220, 1544, 15804, 80859, 19470, 79328, 113134, 26518, 114515, 119928, 101419, 11, 66626, 100524, 101781, 101627, 39015, 330, 106345, 116521, 104300, 1, 101373, 101194, 79328, 105201, 101419, 100683, 107559, 108039, 382, 42, 21538, 101831, 4815, 123436, 113134, 26518, 29876, 103824, 100690, 110649, 100447, 125555, 113108, 96094, 779, 126817, 100409, 79328, 113134, 26518, 100788, 293, 77394, 107931, 109708, 107559, 108039, 11, 108342, 101793, 101831, 7188, 102610, 103421, 274, 116906, 100790, 101582, 102790, 48842, 107827, 110223, 220, 1032, 4, 87239, 105596, 86736, 80579, 102975, 104089, 320, 38, 10510, 8, 107559, 108039, 13, 104305, 104710, 63129, 101378, 102610, 101071, 60835, 113134, 26518, 103253, 104140, 111865, 101378, 11, 62858, 54137, 119314, 117365, 11, 101982, 102984, 11, 63129, 101378, 112894, 11, 48842, 3930, 105283, 13, 7188, 101004, 29876, 111802, 103498, 102748, 101793, 101831, 100809, 102869, 100558, 17681, 320, 85, 41038, 101926, 102620, 705, 270, 2234, 326, 100883, 102746, 102748, 7188, 320, 85, 41038, 111865, 101378, 705, 270, 2234, 326, 100883, 38250, 320, 85, 41038, 102022, 101624, 48842, 63129, 103762, 101373, 705, 48842, 105956, 432, 118573, 348, 526, 320, 85, 41038, 120252, 348, 526, 3677, 1163, 100474, 105128, 4815, 47941, 90308, 100944, 105128, 101609, 26518, 107559, 108039, 11, 7188, 29876, 100944, 105128, 113229, 107072, 107575, 11, 100409, 13081, 125708, 100944, 105128, 25, 101091, 101135, 104140, 666, 90308, 111739, 7188, 48842, 79328, 100809, 101774, 64578, 115270, 107000, 436, 100651, 26, 116471, 100809, 103190, 101135, 26518, 7188, 104140, 473, 20842, 110847, 48842, 666, 99310, 110847, 26, 48842, 101821, 101135, 29876, 126661, 102770, 350, 89039, 101373, 7188, 48842, 79328, 120599, 101386, 104837, 13, 127349, 26518, 101004, 80768, 111752, 2463, 103446, 96095, 87239, 102759, 101291, 100944, 105128, 74625, 104416, 106066, 11, 118826, 102025, 101724, 102339, 11, 293, 109285, 113658, 11, 48842, 113839, 104628, 382, 47941, 78789, 107992, 4815, 5519, 100403, 9964, 100944, 102770, 60835, 15960, 71348, 101135, 113134, 26518, 11, 7188, 101058, 26883, 102262, 220, 1272, 4, 60835, 78474, 63672, 113134, 26518, 2665, 102165, 102634, 101317, 63129, 13, 7188, 39015, 113134, 26518, 102082, 101071, 29876, 101309, 106701, 100558, 103453, 382, 107237, 101317, 113134, 100705, 63129, 103190, 29876, 101417, 101406, 101419, 103321, 113346, 101036, 101317, 13, 921, 52458, 101406, 60835, 79328, 101317, 103077, 102282, 101338, 102610, 113346, 101036, 102881, 106796, 100788, 105956, 15199, 85555, 48842, 272, 112878, 60835, 9120, 105081, 108151, 79328, 101317, 13, 121524, 100403, 66626, 105956, 11, 26883, 102262, 103391, 101226, 259, 101663, 100403, 101338, 102610, 60835, 102881, 80226, 102143, 2665, 104300, 107992, 13, 121524, 100557, 105956, 100425, 109168, 11, 105397, 104097, 100524, 102613, 113354, 105717, 29876, 100540, 106844, 101194, 220, 2031, 4, 101724, 110720, 382, 39, 26298, 102634, 101317, 103498, 100705, 63129, 103190, 113480, 100557, 105536, 113346, 102263, 100690, 110461, 101378, 11, 119271, 110204, 11, 48842, 102637, 100705, 101121, 103353, 29876, 101386, 107000, 2665, 100557, 100705, 98932, 13845, 86242, 72, 11, 98932, 98583, 104256, 116611, 11, 48842, 100705, 98932, 63129, 101378, 13, 105375, 101627, 100705, 98932, 104470, 100906, 95676, 104988, 220, 975, 4235, 972, 104946, 11, 48842, 100944, 105128, 127469, 125668, 107193, 100524, 101058, 74686, 100705, 96094, 100725, 220, 845, 104946, 13, 121524, 100937, 103065, 104164, 101317, 100705, 11, 100557, 101317, 103498, 100705, 101126, 102915, 29876, 105536, 113346, 102263, 100409, 107413, 101291, 102455, 103498, 87239, 101359, 100705, 11, 100524, 220, 806, 4235, 1032, 104946, 74686, 100557, 101317, 100705, 97635, 13, 109946, 101317, 113134, 100705, 99227, 113480, 100690, 101359, 100705, 11, 105283, 100886, 11, 48842, 103254, 101975, 11, 48842, 29876, 101317, 106130, 104300, 113346, 102263, 127483, 101120, 104470, 100906, 95676, 220, 20, 104946, 13, 105186, 105128, 125668, 107193, 106590, 991, 101058, 100725, 101317, 95676, 220, 21, 104946, 382, 39, 26298, 102634, 79328, 110847, 102724, 100705, 107829, 104825, 100944, 60835, 113134, 26518, 39015, 102165, 102634, 121201, 104620, 100705, 7188, 320, 5576, 705, 29876, 100937, 100893, 107829, 104825, 80226, 102170, 100943, 101982, 48078, 101194, 103938, 102880, 101126, 102915, 102176, 100790, 101582, 102790, 48842, 64578, 116523, 100558, 100403, 70186, 100557, 102165, 102634, 110847, 102724, 100705, 63129, 103190, 62858, 100906, 60835, 107559, 108039, 13, 127356, 102634, 31613, 29876, 104495, 112957, 101627, 220, 717, 11, 20, 4, 60835, 100557, 100705, 98932, 101373, 101643, 101071, 48842, 100932, 100852, 107829, 104825, 33254, 102724, 100705, 13, 720, 5576, 100852, 29876, 220, 605, 110847, 102724, 100705, 65161, 98583, 48842, 220, 16, 101317, 103704, 101609, 101325, 100788, 5960, 13175, 25, 720, 31613, 7826, 261, 28399, 198, 31613, 6354, 276, 13175, 99227, 109770, 101700, 100557, 98932, 98583, 33254, 102724, 100705, 104710, 379, 198, 31613, 8288, 437, 12167, 198, 31613, 6354, 276, 18842, 198, 31613, 9607, 23156, 198, 31613, 6354, 8424, 21510, 198, 31613, 6354, 8424, 32207, 198, 31613, 22197, 67674, 198, 31613, 11151, 1986, 579, 198, 31613, 5364, 261, 2041, 198, 110178, 104620, 100705, 109903, 79844, 320, 39, 561, 826, 9304, 315, 7658, 8, 101609, 101325, 100409, 31613, 11, 113182, 100683, 107535, 103190, 48842, 54137, 100947, 103909, 111187, 104458, 31613, 198, 5576, 101004, 103391, 101226, 100403, 66626, 102257, 115248, 104392, 101609, 26518, 2665, 102106, 452, 59697, 101406, 107559, 108039, 25, 720, 115317, 115248, 104392, 102173, 96095, 28574, 33108, 320, 39379, 28399, 11, 7188, 8, 656, 31613, 105003, 101959, 103391, 101226, 48842, 101309, 101091, 11, 104878, 101091, 107829, 104825, 104403, 64578, 101909, 101278, 100790, 100937, 109617, 104164, 102637, 100705, 100409, 100557, 308, 72531, 102686, 100944, 102455, 103498, 87239, 107829, 104825, 101126, 101764, 100690, 119314, 117365, 11, 98932, 100705, 100743, 101406, 11, 102637, 100705, 51593, 11, 102165, 102634, 101329, 101406, 93205, 48842, 101982, 101135, 106772, 101317, 48842, 100886, 100610, 101926, 104529, 102898, 100827, 100724, 63129, 105688, 117051, 109725, 627, 115317, 115248, 104392, 102173, 96095, 28574, 22617, 6518, 320, 83995, 6518, 11, 7188, 8, 31613, 103391, 101226, 48842, 105303, 101091, 93530, 74625, 100403, 63129, 13892, 108151, 103562, 104832, 103782, 101821, 101121, 107000, 103147, 48842, 39015, 101702, 101779, 103782, 102489, 11, 100886, 100610, 102637, 100705, 48842, 63129, 103762, 103451, 104878, 80768, 104673, 101677, 103456, 119314, 105256, 111391, 101121, 60835, 106035, 103610, 109130, 25826, 272, 102366, 13, 118338, 102224, 101004, 29876, 79328, 107413, 101291, 107829, 104825, 102610, 100690, 105158, 101157, 114681, 102022, 101624, 48842, 101367, 119121, 11, 101329, 101406, 48842, 106772, 101317, 11, 98932, 100705, 48842, 63129, 103762, 98932, 100705, 11, 102637, 100705, 101126, 101764, 48842, 63129, 103762, 102329, 100610, 11, 105084, 109908, 103436, 119314, 105256, 123964, 124723, 62858, 122775, 48842, 459, 119440, 104089, 103077, 13, 110992, 101004, 39015, 105201, 29876, 100557, 114681, 102022, 101624, 104504, 101071, 101582, 102790, 627, 115317, 115248, 104392, 102173, 96095, 9853, 1708, 10808, 320, 30696, 1708, 10808, 11, 1561, 12550, 8, 31613, 103391, 101226, 48842, 105303, 101091, 93530, 74625, 100403, 63129, 13892, 108151, 103562, 104832, 103782, 101821, 101121, 107000, 103147, 48842, 39015, 101702, 101779, 103782, 102489, 11, 102455, 103498, 115816, 105530, 79328, 63129, 100769, 60835, 102140, 87239, 100769, 104673, 101677, 100447, 25826, 272, 102366, 60835, 119314, 105256, 111391, 101121, 106035, 13, 104305, 63129, 100769, 101419, 100683, 102224, 101609, 100809, 100725, 79328, 107413, 101291, 107829, 104825, 108095, 113602, 523, 112855, 100930, 326, 100520, 31791, 60835, 119314, 105256, 123964, 124723, 62858, 122775, 48842, 459, 119440, 102975, 96095, 107559, 108039, 11, 100558, 101677, 105159, 107559, 108039, 111437, 104053, 113886, 63129, 24040, 114884, 105900, 382, 39, 26298, 102634, 121201, 104620, 100705, 7188, 3314, 320, 6546, 52, 8, 101004, 64578, 116523, 100558, 100403, 70186, 100557, 102165, 102634, 101317, 100705, 107823, 3355, 26298, 83, 100790, 101582, 102790, 13, 127356, 102634, 10211, 52, 103253, 104140, 220, 1419, 110847, 102724, 100705, 1473, 104620, 100705, 127349, 26518, 88409, 94144, 198, 104620, 100705, 127349, 26518, 921, 4042, 198, 104620, 100705, 127349, 26518, 12103, 7942, 198, 104620, 100705, 127349, 26518, 41334, 198, 104620, 100705, 127349, 26518, 5960, 13175, 198, 104620, 100705, 127349, 26518, 7188, 100683, 650, 109288, 108625, 198, 104620, 100705, 127349, 26518, 7188, 100683, 426, 8476, 2630, 198, 104620, 100705, 127349, 26518, 7188, 100683, 3489, 70711, 110449, 469, 78, 107931, 198, 104620, 100705, 127349, 26518, 7188, 100683, 78857, 28700, 25964, 198, 104620, 100705, 127349, 26518, 7188, 100683, 82270, 198, 104620, 100705, 127349, 26518, 7188, 100683, 8797, 37733, 198, 104620, 100705, 127349, 26518, 7188, 100683, 5843, 13011, 198, 104620, 100705, 127349, 26518, 7188, 100683, 9853, 12167, 198, 121010, 110847, 125033, 118728, 7188, 198, 104620, 100705, 127349, 26518, 7188, 100683, 650, 109288, 98495, 198, 104620, 100705, 127349, 26518, 7188, 100683, 4892, 11431, 198, 104620, 100705, 426, 54161, 102637, 127349, 26518, 7188, 100683, 39412, 6863, 198, 104620, 100705, 127349, 26518, 7188, 100683, 5960, 86857, 198, 104620, 100705, 127349, 26518, 5960, 18842, 198, 104620, 100705, 127349, 26518, 5960, 11097, 198, 104620, 100705, 426, 54161, 102637, 127349, 26518, 7188, 100683, 5960, 34297, 4761, 285, 5481, 198, 104620, 100705, 127349, 26518, 7188, 100683, 5960, 66605, 198, 104620, 100705, 127349, 26518, 7188, 100683, 15560, 285, 58329, 271, 114989, 101194, 220, 3443, 13, 931, 98932, 98583, 11, 102165, 102634, 10211, 52, 39015, 102165, 102634, 110847, 102724, 100705, 102610, 101071, 60835, 107559, 108039, 13, 112943, 29876, 104495, 112957, 101627, 101338, 13081, 100705, 98932, 103498, 100705, 109908, 93530, 101373, 101643, 101071, 13, 104305, 110847, 102724, 100705, 102962, 102165, 102634, 10211, 52, 101338, 100937, 110587, 2665, 98932, 98583, 102724, 100705, 11, 102241, 100937, 101317, 102610, 70186, 102165, 102634, 11, 100558, 39015, 10211, 52, 12, 6720, 13011, 11, 10211, 52, 7424, 417, 2201, 11, 5960, 18842, 3314, 3907, 11, 48842, 5960, 11097, 3314, 3907, 11, 102250, 100809, 102748, 102695, 100690, 107829, 104825, 11, 101071, 39015, 100690, 100557, 104710, 102637, 100705, 102329, 100610, 13, 10211, 52, 117959, 100724, 109430, 100409, 100403, 101338, 60835, 328, 39815, 100939, 60295, 100631, 220, 5162, 15, 87239, 100631, 220, 1049, 22, 96094, 100501, 104470, 100906, 106284, 100705, 101740, 104878, 106312, 320, 3438, 920, 6266, 100690, 104300, 107992, 13, 356, 11644, 101625, 666, 19470, 110847, 127349, 26518, 16768, 7834, 48842, 79328, 100524, 101419, 80226, 102811, 103456, 104115, 102951, 104197, 97635, 39015, 109427, 100906, 103451, 80768, 109358, 101744, 102165, 102634, 102724, 100705, 100788, 7188, 382, 39, 26298, 102634, 110178, 104620, 100705, 116657, 101239, 7188, 320, 46510, 12332, 79219, 744, 482, 92574, 50, 8, 103641, 101386, 100557, 105536, 330, 8376, 78789, 107992, 105596, 934, 17099, 498, 29876, 100540, 103134, 102410, 101740, 105536, 100705, 74625, 100557, 102165, 102634, 10211, 52, 48842, 31613, 11, 48842, 101004, 103641, 101386, 107413, 101291, 113480, 110461, 11, 113480, 105536, 110099, 11, 48842, 100705, 101959, 13, 104305, 101317, 97635, 101386, 106908, 103492, 101627, 48842, 101743, 101373, 120629, 320, 72631, 596, 8547, 570, 112943, 103253, 104140, 220, 7743, 101317, 102724, 100705, 64578, 101744, 101774, 65161, 220, 5332, 103065, 104164, 11, 113480, 101194, 220, 17, 11, 24, 106002, 98932, 98583, 382, 112438, 110847, 102724, 100705, 101821, 270, 93804, 29876, 103824, 103253, 104140, 25, 720, 121201, 104620, 100705, 31788, 198, 121201, 104620, 100705, 31074, 7188, 320, 2078, 34, 340, 121201, 104620, 100705, 16376, 51657, 320, 3624, 52, 340, 121201, 104620, 100705, 62140, 21047, 198, 121201, 103078, 103762, 7188, 320, 9027, 18261, 570, 3400, 18261, 101004, 103391, 101226, 115317, 666, 2483, 104392, 328, 96063, 112010, 2405, 41807, 102686, 2665, 22146, 382, 46510, 29876, 102695, 62858, 124970, 101317, 48842, 110847, 102724, 100705, 101821, 270, 93804, 11, 103253, 104140, 100937, 100705, 110847, 116521, 104300, 48842, 100705, 110847, 103847, 103147, 13, 426, 102585 ] ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	8.005778
[ [ 103453, 7188, 29876, 100937, 101126, 101975, 103519, 103147, 100690, 101982, 102984, 48842, 104300, 107992, 2665, 101724, 110720, 13, 33680, 115248, 100533, 11, 114515, 16854, 7188, 11, 100403, 70186, 100557, 105956, 109708, 102724, 100705, 101071, 100790, 101582, 102790, 11, 29876, 101750, 100937, 100524, 119203, 13845, 86242, 72, 100920, 62428, 70186, 102724, 101975, 2211, 106781, 102610, 13, 480, 70711, 9853, 12167, 29876, 100937, 100705, 110847, 103762, 103981, 48842, 101926, 102620, 11, 103253, 104140, 121010, 110847, 105383, 26298, 103981, 7188, 320, 9027, 7098, 2641, 3677, 1163, 6792, 104672, 271, 1016, 309, 105793, 271, 20776, 311, 7188, 4194, 4235, 105186, 105128, 7188, 320, 10462, 27160, 983, 104491, 340, 4605, 287, 7188, 4194, 4235, 666, 19470, 110847, 104620, 100705, 7188, 320, 10462, 27160, 983, 104491, 696, 720, 46451, 34550, 84, 26518, 107559, 108039, 198, 51, 100520, 107559, 108039, 128000, 3052, 39, 111451, 93530, 25826, 102975, 96095, 198, 91, 21349, 18278, 1292, 394, 284, 120164, 102975, 666, 126083, 51427, 101220, 198, 91, 10068, 1292, 394, 284, 4815, 91, 4279, 1292, 394, 284, 666, 126083, 51427, 101220, 198, 91, 31799, 1292, 394, 284, 666, 126083, 51427, 101220, 198, 91, 2217, 11173, 394, 284, 23497, 315, 24067, 15585, 198, 91, 2217, 11647, 266, 394, 284, 33381, 23724, 315, 11977, 315, 24067, 15585, 198, 91, 7891, 1857, 394, 284, 104620, 102975, 111024, 198, 91, 7891, 394, 284, 473, 4168, 101882, 112659, 96095, 666, 126083, 51427, 101220, 198, 91, 5426, 722, 36726, 394, 284, 220, 4194, 90362, 91, 5426, 12277, 49818, 394, 284, 12957, 91, 30336, 12277, 49818, 394, 284, 12957, 91, 2217, 5489, 394, 284, 720, 91, 2472, 62805, 394, 284, 119957, 102984, 60835, 666, 126083, 51427, 101220, 320, 52096, 86242, 8, 70186, 104540, 105676, 114121, 117643, 320, 376, 102723, 340, 91, 2472, 8086, 394, 284, 220, 5154, 1804, 198, 91, 4033, 78676, 394, 284, 124942, 666, 126083, 51427, 101220, 320, 451, 61596, 8, 220, 44301, 21567, 62552, 110204, 119293, 66626, 100944, 102004, 25, 3438, 70711, 35882, 46451, 27160, 983, 8388, 72, 46451, 27160, 983, 423, 11118, 46451, 27160, 983, 816, 1810, 819, 198, 91, 22277, 21833, 394, 284, 109306, 29876, 66626, 89157, 102634, 108272, 100944, 102004, 198, 91, 7097, 1631, 394, 284, 720, 91, 6864, 394, 284, 220, 53182, 198, 91, 14259, 394, 284, 720, 91, 7928, 26019, 394, 284, 102711, 109701, 198, 91, 3109, 1857, 394, 284, 51427, 68757, 101071, 105386, 102171, 103190, 15960, 71348, 102724, 106066, 102489, 7511, 91, 7808, 6240, 16, 394, 284, 102173, 348, 86475, 198, 91, 7808, 1292, 16, 394, 284, 22770, 94937, 49720, 2642, 198, 91, 7808, 6240, 17, 394, 284, 108664, 107912, 102173, 101975, 198, 91, 7808, 1292, 17, 394, 284, 51162, 8170, 75, 10610, 198, 91, 7808, 6240, 18, 394, 284, 110749, 108818, 198, 91, 7808, 1292, 18, 394, 284, 549, 11253, 27973, 388, 942, 198, 91, 39856, 394, 284, 432, 1609, 13752, 351, 102410, 110847, 198, 91, 47059, 1857, 394, 284, 121310, 65161, 198, 91, 9749, 6891, 16, 394, 284, 120164, 102975, 102634, 101071, 198, 91, 9749, 4257, 16, 394, 284, 124382, 101582, 111639, 87915, 198, 91, 9749, 6891, 17, 394, 284, 104540, 105676, 27930, 5730, 198, 91, 9749, 4257, 17, 394, 284, 220, 10125, 22, 4235, 9756, 18, 198, 91, 9749, 6891, 18, 394, 284, 666, 126083, 51427, 101220, 11500, 64, 109051, 198, 91, 9749, 4257, 18, 394, 284, 220, 19, 101420, 220, 806, 100631, 220, 10562, 19, 4235, 339, 100659, 220, 23, 100631, 220, 7028, 20, 198, 91, 9749, 6891, 19, 394, 284, 110965, 63672, 104540, 105676, 114121, 117643, 198, 91, 9749, 4257, 19, 394, 284, 220, 16, 101420, 220, 16, 100631, 220, 2550, 20, 198, 91, 3158, 89780, 17, 394, 284, 220, 10617, 13, 16780, 198, 91, 3158, 48352, 87113, 394, 284, 220, 10005, 13, 24542, 198, 91, 3158, 21048, 394, 284, 220, 2131, 198, 91, 3158, 722, 35815, 394, 284, 220, 16, 469, 806, 198, 91, 3346, 55650, 394, 284, 220, 23, 13, 3080, 198, 91, 7187, 669, 13940, 394, 284, 220, 605, 13, 25210, 13, 23324, 198, 91, 7187, 669, 13940, 14987, 394, 284, 220, 679, 22, 198, 91, 7187, 669, 13940, 21048, 394, 284, 220, 4578, 198, 91, 7187, 54449, 89780, 17, 394, 284, 220, 1313, 198, 91, 7187, 54449, 21048, 394, 284, 220, 5162, 198, 91, 30830, 1106, 4505, 14987, 394, 284, 220, 679, 21, 198, 91, 30830, 75138, 394, 284, 720, 91, 30830, 1106, 4505, 21048, 394, 284, 220, 1958, 198, 91, 30830, 1106, 4505, 5796, 16793, 6388, 394, 284, 220, 2491, 13, 17458, 20121, 198, 91, 30830, 1106, 4505, 5796, 16793, 6388, 21048, 394, 284, 220, 1114, 198, 91, 30830, 54575, 992, 14987, 394, 284, 220, 679, 21, 198, 91, 30830, 54575, 992, 394, 284, 720, 91, 30830, 54575, 992, 21048, 394, 284, 220, 1691, 198, 91, 30830, 54575, 992, 5796, 16793, 6388, 394, 284, 220, 3971, 13, 21006, 20121, 198, 91, 30830, 54575, 992, 5796, 16793, 6388, 21048, 394, 284, 220, 806, 198, 91, 480, 6729, 394, 284, 220, 1591, 11, 15, 720, 91, 480, 6729, 14987, 394, 284, 220, 679, 22, 198, 91, 480, 6729, 16326, 394, 284, 5376, 720, 91, 480, 6729, 7949, 394, 284, 720, 91, 480, 6729, 21048, 394, 284, 720, 91, 12445, 40, 394, 284, 220, 15, 11, 25806, 720, 91, 12445, 40, 14987, 394, 284, 220, 679, 22, 198, 91, 12445, 40, 16326, 394, 284, 5376, 720, 91, 12445, 40, 7949, 394, 284, 720, 91, 12445, 40, 21048, 394, 284, 220, 22, 198, 91, 11667, 394, 284, 97660, 64, 320, 10056, 340, 91, 11667, 4229, 394, 284, 5161, 42, 198, 91, 892, 29792, 394, 284, 88420, 198, 91, 70696, 7062, 394, 284, 489, 16, 198, 91, 70696, 7062, 72872, 394, 284, 489, 17, 198, 91, 20722, 4570, 394, 284, 101058, 198, 91, 2457, 9132, 394, 284, 11120, 5640, 83, 14, 7521, 7521, 320, 1846, 340, 91, 272, 302, 509, 394, 284, 662, 325, 198, 91, 8260, 4229, 394, 284, 489, 2790, 198, 91, 34556, 15340, 21, 1889, 394, 284, 5161, 198, 91, 22705, 62, 15340, 21, 4235, 16, 27731, 17, 394, 284, 720, 91, 22705, 62, 15340, 21, 4235, 16, 27731, 18, 394, 284, 720, 91, 10775, 4229, 394, 284, 720, 91, 7458, 4229, 394, 284, 720, 91, 4579, 18790, 394, 284, 220, 60597, 87567, 328, 75295, 1389, 602, 259, 12770, 320, 10462, 27160, 983, 666, 126083, 51427, 101220, 25, 33680, 666, 126083, 51427, 101220, 1389, 101036, 101227, 101935, 8, 64578, 22770, 94937, 49720, 2642, 100886, 100610, 39015, 98710, 101882, 59801, 101121, 100724, 40586, 102975, 348, 86475, 13, 30556, 109306, 29876, 106066, 102961, 102176, 115884, 105900, 103456, 101764, 111761, 97635, 39015, 102975, 2211, 13, 44301, 120201, 107240, 100690, 119271, 110204, 627, 91, 109602, 100939, 220, 17, 394, 284, 10013, 6354, 86, 14466, 15585, 198, 91, 921, 6792, 104672, 101764, 100939, 394, 284, 119957, 102984, 666, 126083, 51427, 101220, 100790, 101582, 102790, 198, 91, 921, 6792, 104672, 101764, 100939, 220, 17, 394, 284, 720, 91, 30830, 1106, 4505, 394, 284, 720, 91, 3432, 394, 284, 720, 11498, 1016, 126083, 51427, 101220, 320, 11, 1174, 103824, 104491, 25, 24067, 705, 105197, 100944, 102004, 39015, 120164, 102975, 666, 126083, 51427, 101220, 320, 11, 103824, 104491, 25, 15422, 315, 24067, 705, 39015, 100403, 102975, 96095, 100788, 108840, 117643, 11, 13845, 100485, 13106, 109051, 100788, 106983, 109316, 48842, 121498, 35882, 100788, 106983, 108625, 108840, 11, 109035, 100409, 51427, 276, 386, 101765, 101743, 102025, 35137, 417, 1263, 100788, 106983, 31074, 11, 101338, 112976, 102790, 101717, 86952, 13845, 100485, 12371, 87982, 73089, 48842, 12371, 87982, 17816, 113592, 266, 382, 114989, 104160, 102898, 220, 21125, 220, 26281, 4194, 16400, 30556, 11, 666, 126083, 51427, 101220, 39015, 100959, 102610, 103421, 13081, 70186, 104540, 105676, 114121, 117643, 11, 100409, 101724, 66626, 220, 605, 13, 17, 106002, 100524, 11, 70186, 100744, 29876, 104988, 220, 17, 11, 19, 106002, 100524, 64578, 98932, 15473, 100788, 100959, 102507, 662, 666, 126083, 51427, 101220, 29876, 110509, 100447, 101724, 66626, 110099, 100409, 220, 1691, 100524, 123624, 30556, 102241, 86952, 102455, 103498, 101373, 100788, 127483, 106983, 31074, 60835, 103033, 100959, 13, 112000, 101170, 220, 5313, 4, 101724, 66626, 103978, 100788, 65161, 101925, 48842, 101036, 101367, 119121, 390, 66626, 97635, 100770, 102502, 118243, 102481, 102759, 101291, 109701, 101925, 102061, 102250, 106371, 15473, 13, 110749, 109701, 60835, 666, 126083, 51427, 101220, 39015, 53182, 11, 102224, 101004, 39015, 65161, 104290, 102610, 101071, 100959, 13, 107842, 104290, 102610, 103421, 47151, 39015, 83246, 78529, 100409, 101724, 66626, 104988, 220, 2636, 13, 931, 100524, 48842, 220, 7467, 13, 931, 100524, 100790, 105596, 105956, 13, 107842, 104290, 102610, 103421, 13081, 39015, 386, 91856, 100409, 101724, 66626, 104988, 220, 11387, 13, 931, 100524, 48842, 220, 13655, 13, 931, 100524, 100788, 105596, 105956, 13, 114919, 103091, 11, 36992, 5080, 113, 51427, 101220, 39015, 100403, 100959, 105386, 102171, 103190, 15960, 71348, 100409, 100540, 102489, 102724, 106066, 13, 118437, 70343, 102686, 103190, 101135, 60835, 103033, 100959, 102962, 100690, 102173, 101975, 320, 49, 1609, 13752, 351, 8, 102410, 110847, 104140, 220, 18634, 102724, 106329, 13, 118437, 70343, 101091, 101135, 64578, 100932, 100852, 104458, 100944, 105128, 656, 102711, 108818, 102171, 111104, 13, 666, 126083, 51427, 101220, 39015, 100403, 100893, 100959, 102410, 101071, 11, 64578, 107361, 65161, 220, 1691, 111391, 48842, 220, 13754, 109701, 101925, 382, 111221, 100893, 100959, 107535, 103190, 60835, 666, 126083, 51427, 101220, 80226, 101616, 100852, 70186, 100906, 101582, 111639, 220, 717, 13, 42116, 96094, 102724, 102090, 356, 100986, 921, 52680, 51427, 268, 293, 89871, 308, 61357, 87239, 104807, 101582, 111639, 220, 975, 13845, 52680, 112594, 104988, 100403, 101338, 13081, 101724, 66626, 60280, 35102, 1174, 104540, 105676, 21296, 325, 101616, 100852, 48842, 103270, 65161, 115390, 15199, 68, 656, 20842, 101702, 100409, 103353, 116361, 11, 102312, 100944, 48842, 119271, 110204, 60835, 100524, 60280, 35102, 662, 106104, 97635, 103090, 100725, 100769, 101157, 65161, 104540, 105676, 27930, 5730, 104807, 79328, 100959, 60280, 35102, 87239, 100631, 220, 10125, 22, 1174, 117111, 103453, 33254, 100744, 666, 126083, 51427, 101220, 80226, 127570, 105118, 104540, 105676, 87239, 100631, 220, 9756, 18, 13, 108856, 666, 126083, 51427, 101220, 103446, 96095, 87239, 104053, 125948, 105931, 14659, 296, 110940, 100631, 103381, 281, 383, 114215, 104300, 11, 100501, 104470, 100906, 102759, 101291, 106335, 106513, 109278, 125379, 60835, 102140, 48842, 33254, 100744, 54137, 109387, 51427, 27160, 102489, 666, 126083, 51427, 101220, 80226, 64578, 101157, 65161, 11, 103270, 65161, 100403, 70186, 100557, 101582, 102686, 305, 89871, 104504, 101071, 60835, 114121, 117643, 2665, 100725, 100906, 101582, 111639, 220, 972, 13, 445, 3282, 17134, 125379, 60835, 666, 126083, 51427, 101220, 110166, 102507, 103943, 110449, 60280, 35102, 80226, 118243, 118243, 100947, 107327, 70186, 101582, 111639, 220, 972, 48842, 101582, 111639, 220, 777, 13, 452, 91163, 106983, 108625, 60835, 666, 126083, 51427, 101220, 320, 3438, 70711, 35882, 101120, 103091, 705, 436, 101548, 87239, 104359, 51427, 27160, 102975, 115668, 100631, 220, 5245, 24, 13, 27560, 101033, 104854, 105931, 107690, 101708, 666, 126083, 51427, 101220, 103446, 96095, 105003, 101959, 87239, 100631, 220, 10562, 19, 11, 96094, 666, 126083, 51427, 101220, 100886, 100610, 105386, 100930, 50510, 13106, 109051, 63672, 87239, 104540, 105676, 666, 126083, 51427, 101220, 48842, 13106, 109051, 11, 100403, 101609, 105676, 113182, 100683, 100725, 115986, 100631, 220, 7028, 20, 13, 735, 34550, 95676, 100744, 11, 666, 126083, 51427, 101220, 39015, 100403, 100959, 107575, 104800, 11, 104752, 100610, 100944, 96182, 101702, 109621, 54137, 101609, 101325, 87239, 101227, 104800, 48842, 100944, 96182, 103498, 103190, 101227, 104854, 662, 666, 126083, 51427, 101220, 102644, 40586, 109162, 103498, 103190, 70186, 100970, 47151, 104053, 104854, 105931, 101582, 102790, 48842, 125948, 105931, 445, 101697, 11, 116839, 108116, 95676, 100631, 220, 1049, 24, 666, 126083, 51427, 101220, 80226, 103134, 29340, 100827, 101779, 63129, 104003, 100409, 30334, 382, 114366, 96094, 101325, 113209, 125948, 105931, 445, 101697, 11, 666, 126083, 51427, 101220, 96095, 63672, 104540, 105676, 114121, 117643, 87239, 101120, 220, 16, 101420, 220, 16, 100631, 220, 2550, 20, 11, 102241, 80226, 95676, 523, 89039, 103270, 65161, 100403, 65161, 98583, 60835, 30334, 11, 101004, 100558, 95676, 523, 89039, 96095, 63672, 121452, 104164, 101239, 18140, 33254, 100403, 104053, 118826, 102025, 101724, 102339, 13, 666, 126083, 51427, 101220, 100852, 39015, 65161, 98583, 60835, 100937, 101744, 101774, 100558, 104540, 473, 85400, 79, 102173, 11, 107789, 101239, 108840, 117643, 11, 107789, 101239, 113917, 117643, 11, 116170, 101774, 119605, 111105, 115470, 102790, 48842, 116170, 101774, 473, 85400, 79, 101779, 48842, 117478, 102454, 112698, 101831, 320, 53965, 6620, 570, 666, 126083, 51427, 101220, 39015, 100403, 100959, 29876, 108342, 101793, 101831, 101580, 102454, 101373, 11, 102082, 111104, 100403, 102165, 102634, 123752, 104033, 103254, 101975, 106513, 436, 109285, 101036, 105158, 101157, 108840, 117643, 11, 103641, 101386, 102090, 101615, 115340, 117713, 104995, 109591, 105596, 934, 17099 ] ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	5.754117
[ [ 48842, 104300, 107992, 102724, 100705, 113658, 102262, 2665, 100524, 101724, 13, 666, 126083, 51427, 101220, 112278, 103421, 220, 806, 101582, 102790, 100690, 78474, 63672, 104800, 105386, 100906, 100524, 11, 102507, 15473, 100959, 97635, 101004, 106059, 103421, 104893, 101373, 70186, 100937, 112499, 112192, 104893, 102975, 101831, 11, 103519, 103147, 39015, 100690, 101417, 101406, 104053, 103978, 11, 379, 101831, 11, 104300, 107992, 11, 101677, 105159, 101781, 656, 101724, 100930, 11, 106811, 105931, 101793, 101831, 11, 104800, 120629, 11, 101925, 17134, 348, 99310, 48842, 101580, 102454, 390, 100524, 6905, 112367, 103731, 4815, 90573, 105475, 60835, 36992, 5080, 113, 51427, 101220, 70186, 103824, 101798, 104470, 105493, 95676, 103824, 102746, 13, 105322, 103824, 104491, 11, 666, 126083, 51427, 101220, 64578, 105475, 39015, 330, 97971, 3343, 426, 100948, 103824, 102746, 11, 330, 50, 906, 97628, 1, 64578, 110641, 106038, 39015, 330, 108224, 105586, 1, 320, 79, 62605, 25, 330, 99725, 24439, 1891, 119608, 77, 1865, 330, 108224, 105586, 1, 29876, 106038, 473, 11644, 101798, 39015, 330, 51022, 5080, 113, 51427, 101220, 11690, 90573, 105475, 666, 126083, 51427, 101220, 320, 97971, 8, 64578, 296, 44737, 77, 95676, 103824, 103888, 35882, 70186, 101582, 597, 72279, 220, 1114, 102811, 101833, 666, 126083, 51427, 101220, 100558, 100403, 111897, 102975, 93205, 107132, 13, 1183, 100494, 96094, 122334, 102975, 666, 126083, 51427, 101220, 293, 49391, 490, 101681, 11, 103824, 104491, 100852, 102724, 101227, 120864, 100906, 100886, 100610, 95676, 4593, 291, 18615, 13, 24067, 320, 1016, 126083, 51427, 101220, 8, 64578, 104470, 105493, 95676, 100930, 115949, 101700, 95676, 103824, 104491, 106607, 4593, 79083, 78, 117457, 79083, 347, 11, 29876, 104485, 39015, 101724, 4593, 59626, 320, 18788, 94614, 64705, 2483, 117457, 73, 1832, 68800, 11, 20023, 328, 14127, 12558, 570, 112367, 100744, 105493, 112240, 95676, 37326, 263, 11628, 906, 56401, 320, 18788, 94614, 328, 69430, 11, 20023, 17360, 11685, 570, 109796, 666, 126083, 51427, 101220, 320, 13521, 27040, 8, 105475, 39015, 328, 75295, 11, 104485, 39015, 348, 86475, 102975, 60835, 100524, 4593, 59626, 320, 1016, 126083, 51427, 101220, 3677, 37196, 71348, 100540, 60835, 105197, 24067, 320, 1016, 126083, 51427, 101220, 8, 64578, 100886, 100610, 70186, 115816, 105530, 79328, 119271, 110204, 11, 109621, 114571, 103824, 51427, 276, 386, 101765, 48842, 103824, 13106, 109051, 100886, 100610, 95676, 328, 75295, 11, 103824, 13759, 78, 2423, 102143, 95676, 64705, 17545, 2483, 6780, 11, 103824, 39496, 64705, 2483, 117457, 73, 1832, 68800, 11, 48842, 109621, 104097, 109130, 108468, 102339, 101194, 60835, 100403, 66626, 119271, 110204, 5767, 11851, 105201, 100920, 95676, 29014, 2469, 72, 320, 10462, 27160, 983, 121498, 35882, 8, 48842, 19385, 6455, 320, 10462, 27160, 983, 69462, 8, 64578, 100886, 100610, 11, 100557, 105289, 105197, 102127, 64578, 116523, 39015, 101218, 107467, 100725, 100557, 100524, 95676, 79328, 103065, 104164, 11457, 107931, 60835, 16870, 55808, 11, 3216, 501, 438, 320, 339, 84, 101033, 666, 126083, 51427, 101220, 705, 100557, 100524, 64578, 102613, 100725, 100409, 105289, 105197, 42076, 11, 48842, 93530, 74625, 100501, 29876, 101609, 100809, 100690, 102214, 95676, 110204, 100409, 105197, 103824, 104491, 60835, 8524, 320, 45, 6885, 3677, 123135, 100886, 4815, 53, 100988, 107690, 101227, 103475, 122178, 305, 6496, 320, 74, 6292, 101170, 220, 717, 13, 931, 25610, 45, 705, 100557, 100524, 100906, 103451, 80226, 104470, 100906, 1891, 101724, 100725, 79328, 105956, 11457, 107931, 101743, 102761, 101625, 100788, 104807, 106756, 48842, 2522, 9345, 320, 8318, 70343, 31074, 666, 126083, 51427, 101220, 101120, 103091, 570, 104305, 1891, 99227, 105793, 106607, 109387, 107773, 101071, 29876, 115988, 102724, 87239, 104988, 220, 1032, 13, 931, 100631, 102259, 102224, 64578, 103765, 102874, 100788, 105956, 2522, 9345, 13, 108856, 390, 102761, 101625, 97635, 103436, 107327, 87239, 104988, 220, 20, 13, 931, 100631, 25610, 45, 114515, 102746, 48842, 105956, 11457, 107931, 60835, 666, 126083, 51427, 101220, 80226, 29876, 101724, 110720, 13, 356, 100883, 101036, 79328, 1891, 99227, 105793, 106607, 11, 70186, 101227, 101935, 95676, 103078, 114425, 2665, 100725, 100631, 220, 3443, 80226, 29876, 100403, 108342, 103997, 111105, 101580, 106059, 100409, 51427, 27160, 102975, 5034, 116648, 13, 650, 89871, 60280, 35102, 64578, 122018, 100725, 103528, 100906, 103451, 70186, 79328, 103353, 104141, 60835, 5034, 116648, 95676, 100631, 220, 4643, 100558, 70186, 18955, 285, 22425, 73078, 60835, 480, 2192, 355, 1856, 6729, 355, 4621, 1263, 355, 18137, 70186, 1611, 46598, 483, 1880, 10109, 6063, 34106, 60835, 480, 2192, 355, 99045, 9334, 56609, 36891, 382, 41325, 92112, 101582, 111639, 54343, 11, 348, 86475, 102975, 97635, 39015, 100403, 101609, 105676, 326, 86242, 983, 326, 101498, 78, 60835, 79328, 105956, 101781, 102412, 100409, 79328, 101975, 101239, 11, 103704, 104097, 48842, 120599, 102770, 107000, 103147, 11, 99227, 64578, 101609, 101325, 100409, 103321, 74625, 59801, 101121, 60835, 101740, 125953, 29876, 102655, 102686, 104256, 101702, 106844, 13, 120164, 102975, 107757, 15473, 64578, 65161, 103190, 70186, 101227, 103475, 102746, 356, 61357, 11, 104807, 100631, 220, 1041, 15, 48842, 220, 5894, 15, 11, 101239, 101227, 100409, 100769, 101036, 103078, 104300, 13, 42116, 100631, 220, 1041, 15, 99996, 101882, 125953, 104470, 100906, 65161, 101157, 100788, 480, 45326, 15697, 320, 8318, 70343, 16854, 36992, 5080, 113, 51427, 101220, 8, 48842, 100788, 328, 588, 15697, 320, 8318, 70343, 103498, 36992, 5080, 113, 51427, 101220, 570, 23565, 100906, 101774, 101740, 97635, 102127, 18137, 100947, 105931, 272, 109285, 11, 54137, 114520, 117707, 48842, 102127, 99227, 29876, 115871, 100809, 102869, 70186, 105956, 13, 423, 110303, 101227, 60835, 37919, 1414, 31651, 75, 11, 100524, 29876, 100809, 102165, 110509, 101846, 100409, 104020, 436, 34550, 60835, 102665, 39015, 125953, 42446, 42446, 31031, 11, 104470, 100906, 29876, 100557, 109358, 101359, 103254, 101975, 48842, 100944, 102412, 106513, 102610, 11, 51296, 86952, 100403, 102655, 102686, 102455, 103498, 48842, 100403, 103254, 101975, 64578, 101744, 101774, 101036, 342, 86475, 60835, 79328, 102975, 96095, 106284, 104416, 114121, 117643, 382, 126078, 220, 10350, 23, 11, 108604, 112659, 51427, 276, 386, 101765, 24079, 548, 1820, 358, 64578, 100403, 127019, 109878, 114227, 105084, 101702, 63129, 101627, 39015, 100524, 102412, 102481, 36992, 5080, 113, 51427, 101220, 13, 113093, 220, 10125, 22, 523, 116906, 60835, 24079, 548, 1820, 39015, 42446, 60835, 393, 20372, 944, 102123, 114276, 125953, 102412, 102481, 220, 18, 348, 86475, 102975, 51427, 276, 386, 101765, 11, 13106, 109051, 48842, 36992, 5080, 113, 51427, 101220, 11, 65161, 103190, 104540, 105676, 27930, 5730, 382, 126078, 220, 10718, 16, 11, 33254, 96094, 125953, 13826, 74625, 107773, 11, 49720, 402, 8105, 90585, 102123, 114276, 106563, 220, 1114, 104946, 11, 104470, 100906, 101227, 103475, 36992, 5080, 113, 51427, 101220, 348, 19470, 68757, 102123, 103270, 65161, 111897, 102975, 13, 115019, 103446, 104854, 70186, 100937, 104053, 104854, 105931, 101227, 100744, 13, 650, 100988, 100631, 220, 8258, 15, 11, 13081, 100959, 54738, 983, 13845, 41038, 983, 39015, 51427, 276, 386, 101765, 11, 14659, 35882, 48842, 115668, 106335, 100906, 104053, 104620, 104854, 108840, 117643, 320, 8258, 15, 12, 10861, 16, 8, 105084, 86952, 36992, 5080, 113, 51427, 101220, 13, 650, 4381, 35131, 87915, 60835, 666, 126083, 51427, 101220, 103528, 122864, 104174, 14531, 101779, 105386, 51427, 276, 386, 101765, 11, 105386, 115668, 48842, 100970, 105386, 14659, 35882, 13, 113318, 87239, 100631, 220, 8258, 24, 11, 100403, 101740, 125953, 102610, 70186, 105283, 100886, 115668, 39015, 5468, 87479, 104620, 51427, 27160, 104174, 14531, 101779, 105386, 36992, 5080, 113, 51427, 101220, 70186, 107728, 3735, 83, 2979, 320, 8258, 24, 570, 650, 4381, 35131, 87915, 112594, 87239, 100631, 220, 11123, 23, 11, 48842, 105757, 36992, 5080, 113, 51427, 101220, 54137, 101717, 39015, 111897, 102975, 107109, 11, 107327, 103033, 100690, 104359, 51427, 27160, 102975, 115668, 48842, 120164, 102975, 2405, 61357, 13, 107386, 101582, 11, 100944, 105128, 36992, 5080, 113, 51427, 101220, 103610, 75642, 104445, 103190, 86952, 40586, 109162, 125958, 111897, 60835, 103033, 100959, 13, 105375, 112010, 103033, 100959, 87239, 104053, 104854, 105931, 100409, 105386, 115668, 70186, 121750, 115988, 220, 11771, 15, 11, 101325, 101997, 39015, 105386, 36992, 5080, 113, 51427, 101220, 86952, 125501, 107728, 13, 112367, 100744, 11, 115668, 112659, 107844, 649, 62428, 26298, 79, 87239, 104089, 101625, 666, 126083, 51427, 101220, 105322, 104053, 125948, 105931, 426, 105594, 100631, 320, 10005, 21, 482, 220, 10967, 18, 705, 36992, 5080, 113, 51427, 101220, 103446, 104854, 70186, 101609, 105386, 43912, 78, 482, 108361, 482, 115668, 11, 80768, 104174, 100959, 2405, 61357, 100409, 75642, 104445, 125170, 86952, 103367, 393, 26429, 9345, 13, 113318, 100403, 101740, 125953, 102610, 70186, 105283, 100886, 2405, 61357, 39015, 80474, 8105, 104620, 51427, 27160, 80226, 105753, 105931, 104020, 294, 100883, 11, 33254, 101708, 101609, 105386, 118243, 118243, 14531, 436, 3282, 48842, 105386, 36992, 5080, 113, 51427, 101220, 101004, 101058, 118983, 25400, 382, 108178, 104053, 104053, 104854, 105084, 115668, 320, 11256, 23, 4235, 11128, 15, 8, 60835, 125953, 49720, 402, 14767, 11, 119989, 105671, 36992, 5080, 113, 51427, 101220, 342, 101010, 54137, 106844, 436, 101024, 436, 89039, 48842, 101004, 113372, 101627, 64578, 100403, 105956, 103033, 102176, 497, 109306, 100557, 103453, 11, 104053, 104854, 105931, 105084, 452, 17070, 978, 263, 60835, 125953, 49720, 402, 17244, 90585, 101717, 104991, 2665, 36992, 5080, 113, 51427, 101220, 100937, 62428, 26298, 83, 110576, 101194, 13, 3234, 115668, 112659, 90678, 74976, 358, 106563, 100744, 101609, 105676, 100409, 452, 17070, 978, 263, 320, 5245, 22, 705, 105386, 115668, 104174, 119070, 98616, 105386, 36992, 5080, 113, 51427, 101220, 15473, 111437, 124436, 121498, 35882, 11, 48842, 101309, 97635, 107009, 100403, 108442, 109878, 114227, 36992, 5080, 113, 51427, 101220, 107132, 74686, 28119, 326, 53985, 102510, 125953, 49720, 402, 17244, 90585, 87239, 100631, 220, 5245, 24, 13, 650, 100988, 100631, 220, 10562, 18, 11, 666, 126083, 51427, 101220, 103446, 104854, 70186, 101609, 105386, 105084, 108361, 482, 100403, 101609, 105676, 29876, 100970, 115668, 48842, 2405, 61357, 26, 33254, 96094, 111978, 122334, 452, 17070, 978, 263, 102724, 125501, 70186, 107728, 87647, 11, 125953, 35131, 94515, 89907, 101717, 326, 87828, 104854, 100409, 51427, 276, 386, 101765, 13, 105322, 124254, 118259, 735, 13327, 100631, 220, 10562, 19, 51427, 276, 386, 101765, 104470, 113246, 101058, 20921, 99310, 13106, 109051, 80768, 102951, 86952, 101338, 103033, 650, 31215, 20372, 944, 60835, 36992, 5080, 113, 51427, 101220, 13, 108856, 13106, 109051, 115884, 105900, 107535, 103190, 33254, 100744, 11, 70186, 100403, 104053, 104854, 116200, 112437, 72, 48842, 105798, 100558, 54137, 102510, 113918, 125953, 35131, 94515, 89907, 80226, 65161, 63129, 70186, 100769, 50510, 113246, 65161, 103190, 101609, 105676, 36992, 5080, 113, 51427, 101220, 1389, 13106, 109051, 100920, 70186, 100744, 13106, 109051, 103610, 39015, 100403, 348, 86475, 102975, 107000, 103147, 13, 42116, 104053, 104854, 105931, 107690, 101708, 97635, 35131, 94515, 89907, 80226, 104752, 100610, 100403, 100944, 96182, 107575, 104800, 101071, 114511, 11, 39015, 101126, 102915, 2665, 108342, 103498, 103190, 60835, 36992, 5080, 113, 51427, 101220, 13, 120029, 101935, 220, 1049, 100631, 107575, 104800, 60835, 36992, 5080, 113, 51427, 101220, 101624, 95676, 101227, 101643, 97635, 2665, 100725, 103091, 39015, 107535, 101071, 100790, 101887, 101582, 102790, 101120, 103091, 382, 35, 40492, 66626, 36992, 5080, 113, 51427, 101220, 102502, 106003, 436, 26298, 83, 70186, 101582, 111639, 1630, 5511, 11, 95676, 100631, 220, 10005, 15, 100725, 220, 9741, 15, 101724, 66626, 80226, 102502, 125373, 112559, 13, 452, 6151, 41038, 84, 100524, 100788, 105956, 111865, 124990, 11, 39015, 105201, 110720, 7933, 51583, 60835, 105206, 101338, 100524, 101724, 11, 54137, 29876, 100769, 100724, 11, 74686, 100725, 100425, 109168, 308, 89702, 48842, 116653, 52154, 120252, 13, 110780, 101582, 70186, 101227, 101935, 95676, 220, 9741, 15, 100725, 220, 7529, 15, 80226, 29876, 100403, 104053, 1891, 101724, 102610, 100920, 102171, 105334, 39015, 100725, 106035, 13, 386, 100784, 108427, 103453, 96094, 104053, 112874, 107303, 63129, 101378, 104470, 15199, 93877, 104878, 102454, 100683, 36992, 5080, 113, 51427, 101220, 11, 100524, 101724, 105389, 109427, 96095, 63672, 87239, 65161, 104290, 48842, 101744, 101774, 79328, 63129, 106781, 103254, 101975, 102171, 104485, 13, 108418, 104053, 101359, 107303, 60835, 100557, 100524, 101036, 102171, 104485, 103254, 101975, 102250, 15199, 68, 294, 42703, 64, 112545, 15473, 64578, 110672, 111437, 87239, 100631, 220, 7529, 22, 11, 33254, 100744, 39015, 100769, 115949, 65161, 103190, 102489, 100447, 106066, 110847, 48842, 102975, 96095, 97635, 103270, 65161, 101724, 102171, 382, 108178, 101582, 111639, 30388, 11, 36992, 5080, 113, 51427, 101220, 103498, 103190, 70186, 125948, 105931, 101582, 102790, 103421, 101071, 48842, 125948, 105931, 101582, 102790, 103421, 47151, 11, 116839, 108427, 39015, 100930, 103498, 103190, 60835, 102975, 96095, 97635, 70186, 125948, 105931, 101582, 102790, 103421, 47151, 103610, 101717, 100947, 105931, 272, 109285, 13, 666, 126083, 51427, 101220, 101959, 103799, 103498, 103190, 70186, 104053, 125948, 105931, 445, 101697, 48842, 2665, 100725, 101120, 103091, 11, 103610, 54137, 39015, 65161, 98583, 60835, 100403, 101609, 105676, 105386, 100930, 102176, 13, 42116, 125948, 105931, 101582, 102790, 103421, 47151, 11, 114492, 105493, 102312, 103731, 113207, 102536, 54137, 100947, 259, 89702, 109725, 11, 666, 126083, 51427, 101220, 80226, 29876, 100540, 101580, 102454, 104710, 63129, 101378, 103641, 101386, 2665, 63129, 104053, 115949, 103933, 103559, 114121, 117643, 48842, 102481, 101582, 103270, 65161, 100403 ] ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	8.969368
[ [ 70186, 100557, 102975, 96095, 126824, 29876, 101071, 100790, 101582, 102790, 87239, 121750, 115988, 220, 5162, 15, 13, 108856, 79328, 108342, 101793, 101831, 101419, 104470, 100906, 117707, 104504, 11, 666, 126083, 51427, 101220, 117111, 80226, 100947, 113030, 74625, 87239, 121750, 115988, 220, 4468, 15, 102241, 103610, 102962, 100690, 79328, 102975, 96095, 112278, 100906, 100690, 102214, 305, 101697, 123752, 60835, 100524, 101724, 382, 119733, 220, 777, 101420, 220, 717, 100631, 220, 6393, 21, 11, 36992, 5080, 113, 51427, 101220, 96095, 63672, 104540, 473, 85400, 79, 102173, 11, 101420, 220, 806, 100631, 220, 6280, 24, 96095, 63672, 124254, 101975, 296, 103823, 102090, 101781, 656, 114121, 117643, 320, 36, 59512, 570, 720, 35, 110303, 2463, 41038, 84, 125953, 49720, 402, 355, 650, 320, 7028, 22, 12, 6280, 15, 705, 101793, 101831, 101580, 102454, 101925, 17134, 348, 99310, 104403, 105389, 29876, 13, 36992, 5080, 113, 51427, 101220, 102082, 111104, 101624, 103498, 103190, 70186, 125948, 105931, 101582, 102790, 103421, 358, 13, 108418, 103528, 107109, 11, 36992, 5080, 113, 51427, 101220, 103610, 102644, 40586, 109162, 103498, 103190, 70186, 125948, 105931, 101582, 102790, 103421, 8105, 13, 110109, 111229, 102171, 103254, 101975, 101609, 103799, 121107, 102655, 104837, 101227, 110749, 108818, 3700, 1708, 7006, 43122, 263, 320, 7285, 17, 12, 6393, 21, 705, 110749, 108818, 72277, 9939, 35103, 320, 6393, 21, 12, 220, 5162, 24, 570, 112698, 101831, 103610, 101580, 102454, 48842, 105158, 101157, 36992, 5080, 113, 51427, 101220, 101959, 103799, 64578, 100316, 983, 107780, 13, 107386, 102536, 11, 104837, 101227, 110749, 108818, 507, 385, 69, 11165, 2727, 320, 5162, 24, 12, 220, 4468, 24, 705, 105186, 105128, 101058, 119141, 100906, 348, 45006, 37028, 104053, 24040, 114884, 11640, 101170, 101793, 101831, 482, 103254, 101975, 382, 126078, 220, 4468, 21, 11, 281, 383, 101677, 102711, 102123, 121107, 102655, 13, 113093, 220, 3753, 17, 11, 507, 13, 11165, 2727, 103270, 86952, 102644, 101774, 110749, 108818, 13, 11165, 2727, 100947, 43912, 76, 104180, 100631, 220, 3753, 21, 11, 25913, 959, 22770, 31031, 103270, 65161, 100524, 102442, 103562, 13, 113093, 220, 2550, 16, 11, 109278, 103919, 281, 383, 101677, 102711, 11, 22770, 45592, 83, 11, 103270, 65161, 110749, 108818, 13, 113093, 220, 2550, 19, 11, 110109, 111229, 102171, 116238, 101975, 103270, 86952, 121107, 102655, 13, 113093, 220, 2550, 20, 11, 36992, 5080, 113, 51427, 101220, 96095, 63672, 104540, 15960, 26298, 79, 114121, 117643, 11, 102241, 95676, 523, 89039, 93530, 74625, 100769, 100886, 100610, 101239, 18140, 100631, 220, 2550, 24, 382, 108178, 100557, 121750, 111639, 105798, 102224, 11, 666, 126083, 51427, 101220, 80226, 103270, 65161, 100403, 102975, 96095, 105206, 105765, 100690, 103353, 102061, 656, 123095, 117495, 63672, 110720, 220, 71780, 220, 100943, 87239, 102975, 96095, 97635, 26, 70186, 100631, 220, 679, 18, 11, 100524, 9637, 118259, 101624, 103456, 220, 868, 4, 101724, 66626, 666, 126083, 51427, 101220, 98932, 15473, 100788, 100959, 102507, 13, 423, 64875, 100524, 63672, 110720, 80226, 51296, 86952, 100557, 270, 54161, 102004, 93205, 100690, 103254, 101975, 13, 452, 6151, 41038, 84, 100930, 107780, 293, 89416, 102686, 80226, 112545, 15473, 29876, 101609, 100809, 100725, 100557, 100524, 63672, 110720, 220, 70186, 100744, 29876, 104053, 293, 89416, 781, 50986, 100683, 53182, 100631, 220, 679, 18, 112545, 15473, 33254, 101615, 100769, 100403, 100524, 63672, 110720, 426, 71780, 125070, 121659, 72552, 100947, 293, 102675, 112594, 104458, 100403, 98583, 106642, 104180, 13, 114157, 101702, 1343, 1832, 100409, 100557, 100930, 104141, 293, 89416, 102686, 97635, 11, 121514, 111229, 102171, 666, 126083, 51427, 101220, 11, 100403, 121514, 101702, 103190, 29876, 103190, 101317, 105084, 100524, 63672, 110720, 11, 80226, 113209, 112010, 79328, 100944, 96182, 105084, 63672, 110720, 60835, 100501, 11, 70186, 96094, 281, 383, 101702, 103190, 112334, 107092, 102510, 115009, 2665, 100930, 103938, 104800, 120629, 101120, 107844, 102502, 656, 100557, 100944, 96182, 101793, 101831, 103254, 101975, 72732, 326, 103598, 60835, 100944, 105128, 103498, 104832, 662, 666, 126083, 51427, 101220, 80226, 100947, 102620, 105579, 115116, 308, 41038, 104458, 104053, 24040, 114884, 11640, 101170, 1891, 110720, 114121, 117643, 100631, 220, 679, 20, 11, 103578, 106860, 97635, 107690, 101708, 101004, 80226, 113246, 100944, 105128, 100959, 97635, 101058, 270, 101340, 121445, 101194, 79328, 101050, 100743, 100690, 63672, 110720, 382, 105186, 102412, 4815, 1016, 126083, 51427, 101220, 29876, 125780, 103919, 103704, 101126, 101764, 1754, 101325, 100827, 100409, 103321, 101157, 65161, 101485, 15960, 71348, 101135, 60835, 103033, 100959, 11, 103253, 104140, 25, 106422, 104141, 60835, 100944, 105128, 39204, 51427, 89416, 103704, 121139, 101740, 39204, 51427, 89416, 103704, 100690, 102655, 101781, 656, 102911, 106333, 39204, 109903, 116471, 101764, 100690, 102655, 101781, 656, 119271, 108283, 34811, 47, 2481, 942, 25, 12086, 13, 220, 1987, 4235, 1272, 382, 1016, 126083, 51427, 101220, 39015, 100403, 100893, 100959, 105386, 102171, 103190, 15960, 71348, 100409, 650, 4381, 22770, 94937, 49720, 2642, 39015, 100524, 112278, 100906, 100893, 100959, 107976, 95676, 100631, 220, 4468, 18, 11, 5609, 40586, 109162, 60835, 102975, 348, 86475, 99227, 102790, 103782, 70186, 79328, 101774, 101329, 116653, 114849, 48842, 102724, 104160, 13, 4194, 85237, 101050, 100743, 60835, 106422, 104141, 105186, 105128, 100631, 220, 4468, 19, 11, 100893, 125953, 54137, 29876, 103938, 103475, 102655, 102686, 100944, 102412, 100944, 102004, 102176, 13, 4194, 80859, 6496, 125953, 39015, 100524, 106335, 110641, 117065, 102173, 101975, 62858, 100631, 11, 4194, 101744, 101774, 107789, 101239, 109082, 25826, 102127, 103475, 100409, 110749, 108818, 48842, 105186, 105128, 11, 102171, 111104, 79328, 104053, 117065, 60835, 107789, 101239, 107081, 103357, 452, 3427, 38159, 103115, 320, 46451, 27160, 983, 666, 126083, 51427, 101220, 25, 549, 376, 12732, 77, 67997, 303, 268, 8, 48842, 39015, 100524, 101959, 101627, 102975, 106831, 60835, 79328, 102724, 119678, 100959, 102507, 111447, 101833, 666, 126083, 51427, 101220, 101004, 100558, 107827, 112917, 102975, 106831, 111447, 15473, 100959, 102507, 13, 118420, 3427, 53651, 15473, 11, 100893, 650, 4381, 101004, 39015, 100524, 104551, 104529, 26883, 102262, 2665, 100557, 123730, 121553, 101386, 100893, 100959, 100788, 100959, 102507, 48842, 101959, 125168, 102054, 100959, 102507, 100409, 101821, 101359, 39015, 102171, 100893, 13, 114031, 100557, 103562, 101615, 100944, 102004, 11, 650, 4381, 48842, 100557, 65161, 98583, 101419, 70186, 96095, 105648, 112659, 96095, 117155, 100883, 100932, 100852, 100403, 122775, 79328, 103562, 101615, 102724, 104160, 54137, 100944, 102004, 101419, 100970, 4194, 79920, 70186, 100959, 48842, 102507, 100959, 382, 34, 39815, 100809, 103190, 101135, 39015, 432, 1609, 13752, 351, 320, 83, 96063, 102173, 101975, 8, 99227, 29876, 100403, 110847, 103253, 104140, 220, 18634, 102724, 106329, 48842, 64578, 115270, 220, 19, 100631, 100403, 103528, 11, 112278, 100906, 104458, 100403, 108664, 107912, 13, 104305, 104053, 105596, 106201, 111752, 120455, 58910, 101744, 101774, 125780, 100631, 100403, 103528, 11, 87239, 101120, 102171, 113660, 103421, 47151, 60835, 101420, 126549, 13, 109903, 101135, 29876, 100540, 64578, 779, 50986, 111018, 104458, 100944, 105128, 101535, 104458, 65161, 98583, 60835, 432, 1609, 13752, 351, 13, 104305, 65161, 98583, 60835, 432, 1609, 13752, 351, 64578, 115270, 102123, 101036, 101126, 102915, 120455, 38159, 104160, 105397, 104097, 2665, 100403, 103562, 103475, 125780, 100631, 13, 104305, 103919, 103704, 101126, 101764, 99227, 29876, 100540, 64578, 104115, 102951, 103914, 106059, 64578, 100930, 101239, 109146, 104458, 432, 1609, 13752, 351, 382, 1163, 100474, 105128, 666, 126083, 51427, 101220, 1754, 118505, 40586, 109162, 101091, 101135, 11, 103253, 104140, 100403, 101740, 102711, 108818, 220, 120455, 58910, 107166, 103562, 101535, 113658, 103562, 104458, 108664, 107912, 432, 1609, 13752, 351, 320, 67, 103416, 100790, 100403, 104053, 105118, 114383, 104458, 79328, 65161, 98583, 60835, 432, 1609, 13752, 351, 8, 220, 48842, 79328, 101625, 104788, 39204, 64578, 107166, 103562, 101535, 100947, 829, 119332, 113346, 102962, 87239, 102961, 100743, 60835, 102711, 108818, 13, 4194, 1163, 100474, 105128, 39015, 101126, 100809, 101091, 101135, 105848, 101373, 48842, 107892, 108151, 103562, 100690, 105329, 101091, 100801, 60835, 102140, 102259, 102173, 101975, 382, 34, 39815, 100809, 101821, 101135, 60835, 666, 126083, 51427, 101220, 103313, 101887, 107535, 103190, 100409, 102173, 101975, 11, 100944, 105128, 48842, 79328, 101126, 100809, 101091, 100944, 100893, 100959, 13, 650, 2192, 109162, 60835, 100769, 104581, 106736, 101135, 101226, 100690, 101135, 103704, 54137, 64578, 100932, 100852, 104458, 79328, 120599, 102770, 26, 100920, 104115, 87239, 100744, 11, 107789, 101239, 108361, 103704, 105470, 15473, 100557, 102339, 104416, 54137, 116275, 113246, 100690, 101624, 100827, 101135, 13, 126661, 102770, 54137, 100947, 116275, 113246, 104458, 102881, 104097, 101135, 11, 116839, 108116, 101176, 29876, 102620, 105579, 382, 124412, 36992, 5080, 113, 51427, 101220, 29876, 103731, 113303, 63129, 104003, 11, 110939, 39015, 102790, 102911, 106333, 48842, 105478, 100970, 79328, 59801, 101121, 103467, 29876, 100540, 104581, 79328, 103353, 104141, 60835, 63129, 102915, 100893, 100959, 11, 109621, 114571, 100403, 66626, 106844, 101317, 100827, 103519, 103147, 13, 109306, 100403, 100524, 102176, 101058, 122087, 101226, 656, 100683, 104372, 104445, 104581, 100403, 103353, 104141, 101071, 100743, 48842, 101004, 54137, 101058, 101291, 103492, 105676, 106831, 382, 111221, 101309, 103519, 103147, 101419, 39015, 102165, 102634, 79328, 104551, 9781, 98583, 320, 2925, 29088, 1543, 570, 109946, 100524, 97635, 101677, 105159, 102655, 104033, 60835, 59801, 101121, 70186, 96094, 100501, 101959, 114762, 100409, 100944, 102655, 48842, 101036, 117275, 100769, 62428, 101091, 79328, 103704, 104097, 100809, 102869, 13, 109796, 63129, 101724, 96094, 2665, 103456, 100947, 101702, 105191, 54137, 63129, 101743, 29876, 100540, 103765, 100725, 104551, 9781, 98583, 11, 100557, 100524, 100770, 101309, 9781, 101317, 100827, 97635, 48842, 29876, 100540, 51296, 101615, 100769, 15473, 102259, 120599, 102770, 100409, 101821, 101359, 39015, 103731, 104820, 103519, 103147, 13, 111778, 101227, 100501, 101004, 29876, 103562, 101615, 107072, 101779, 100409, 79328, 101126, 100809, 100893, 100959, 80768, 118505, 104470, 103578, 101157, 70186, 105167, 3355, 60835, 100501, 11, 62428, 101091, 79328, 63129, 101779, 101982, 104672, 48842, 105470, 15473, 100557, 101218, 106066, 104115, 102951, 103704, 104097, 13, 121777, 106811, 100557, 104551, 9781, 98583, 100690, 103704, 101135, 101717, 29876, 104551, 9781, 98583, 60835, 100524, 102673, 102143, 11, 104551, 9781, 98583, 100690, 106590, 991, 11, 104551, 9781, 98583, 100690, 102655, 104800, 120629, 48842, 79328, 104551, 9781, 98583, 100690, 101909, 103147, 101702, 105191, 102171, 983, 114227, 48842, 101909, 103147, 101702, 105191, 102481, 79328, 103065, 1910, 71, 103628, 103578, 107992, 382, 108178, 100403, 101227, 101935, 105581, 666, 126083, 51427, 101220, 80226, 64578, 104581, 100558, 39015, 100403, 100959, 101724, 102171, 103254, 101975, 124899, 101157, 48842, 100937, 100524, 101036, 112334, 107092, 100788, 114121, 117643, 80226, 104581, 36992, 5080, 113, 51427, 101220, 100558, 39015, 100403, 115248, 100533, 124899, 101157, 2665, 100403, 330, 444, 102761, 103421, 13081, 498, 101325, 100827, 104807, 102171, 104485, 103254, 101975, 48842, 101793, 101831, 101925, 101317, 382, 53, 100988, 101120, 220, 975, 101420, 220, 24, 100631, 220, 1049, 18, 11, 100769, 105470, 101239, 18140, 87239, 100886, 100610, 100724, 102881, 120070, 102975, 96095, 64578, 106329, 102961, 100683, 36992, 5080, 113, 51427, 101220, 13, 109946, 100524, 11640, 53651, 116653, 18140, 80226, 110516, 101582, 320, 83, 110042, 104097, 74686, 115270, 25, 220, 5932, 11, 17, 13689, 101325, 101997, 115270, 111752, 25, 220, 3487, 11, 16, 4, 105084, 11, 220, 3174, 11, 23, 4, 109146, 11, 220, 17, 11, 16, 4, 114383, 109938, 48842, 220, 15, 11, 16, 4, 114383, 54137, 100827, 104097, 4390, 110109, 100944, 102412, 48842, 79328, 104053, 115270, 111752, 720, 41325, 101170, 111229, 102171, 116238, 101975, 666, 126083, 51427, 101220, 80226, 107827, 100403, 40586, 109162, 102171, 103919, 70186, 108342, 100944, 102412, 666, 126083, 51427, 101220, 107976, 95676, 100631, 220, 7529, 22, 11, 101227, 101643, 100557, 100524, 101724, 102171, 103254, 101975, 80226, 124828, 100743, 64578, 104995, 104504, 60835, 102140, 48842, 100557, 100524, 101359, 107303, 112334, 107092, 65161, 103190, 121514, 127019, 107000, 60835, 100501, 13, 735, 34550, 95676, 100631, 220, 7285, 17, 101833, 103091, 11, 115816, 105530, 79328, 100944, 105128, 118505, 102655, 100788, 666, 126083, 51427, 40, 87982, 103467, 107892, 100930, 26883, 108233, 60835, 110109, 111229, 102171, 116238, 101975, 13, 105322, 79328, 104053, 105596, 106201, 111752, 107976, 95676, 33254, 101582, 104854, 8105, 2665, 101833, 103091, 11, 79328, 121514, 127019, 112334, 104832, 99227, 29876, 220, 20, 103528, 106059, 104602, 66626, 121436, 70186, 102173, 101975, 80768, 29876, 100540, 103190, 65161, 100944, 105128, 271, 108178, 101194, 220, 1135, 100631, 11, 666, 126083, 51427, 101220, 99227, 29876, 220, 20, 121514, 101609, 103799, 101627, 64578, 104602, 66626, 114383, 115270, 80768, 125170, 64578, 121436, 70186, 102173, 101975, 482, 100744, 39015, 110109, 111229, 102171, 116238, 101975, 11, 110109, 111667, 77, 107575, 11, 110109, 102746, 102748, 11, 110109, 114278, 101724, 350, 62131, 656, 48842, 110109, 356, 100951, 107092, 2001, 102259, 96094, 110109, 1630, 29024, 103270, 65161, 121514, 103421, 220, 21, 29876, 121436, 70186, 102173, 101975, 33254, 104053, 115270, 111752, 100631, 220, 3753, 23, 13, 105322, 104053, 115270, 111752, 100631, 220, 2550, 16, 11, 70186, 96094, 110109, 1630, 29024, 100947, 107327, 121436, 11, 101105, 86952, 29876, 47151, 121514, 93205, 125170, 64578, 121436, 103528, 100906, 103451, 25, 110109, 111229, 102171, 114956, 523, 90739, 104300, 48842, 110109, 111229, 102171, 386, 53047, 13, 27560, 101033, 115270, 111752, 100631, 220, 2550, 19, 80226, 103492, 104416, 100930, 103270, 86952, 60835, 110109, 1630, 29024, 48842, 100930, 274, 116021, 102510, 60835 ] ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	8.255785
[ [ 110109, 111229, 102171, 93205, 13, 386, 109285, 2665, 100725, 96094, 104053, 115270, 111752, 87239, 100631, 220, 679, 15, 93205, 29876, 100403, 121514, 103421, 259, 36334, 11, 121514, 111229, 102171, 666, 126083, 51427, 101220, 11, 125170, 64578, 121436, 70186, 432, 1609, 13752, 351, 6905, 108178, 104053, 108135, 103517, 106201, 111752, 100631, 220, 679, 19, 11, 220, 19, 121514, 103498, 104832, 39015, 110109, 111667, 77, 107575, 11, 110109, 114278, 101724, 350, 62131, 656, 11, 110109, 102746, 102748, 48842, 110109, 111229, 102171, 114956, 523, 90739, 104300, 80226, 101959, 103799, 100827, 65161, 100403, 101609, 105676, 112334, 104832, 29876, 105197, 105475, 39015, 104540, 105676, 666, 126083, 51427, 101220, 11, 100409, 15960, 111261, 29876, 103528, 103421, 13081, 101609, 101959, 110516, 104033, 104053, 115270, 111752, 320, 5080, 252, 47151, 104053, 115270, 111752, 102259, 100744, 11, 104540, 105676, 97635, 103467, 80226, 104854, 110516, 48842, 65161, 103190, 64578, 100944, 105128, 570, 121524, 111317, 121807, 86952, 11, 13081, 121514, 102610, 101071, 60835, 281, 383, 112334, 107092, 320, 41325, 101170, 111229, 102171, 116238, 101975, 11, 110109, 1630, 29024, 11, 48842, 110109, 356, 100951, 107092, 8, 86952, 103446, 96095, 104854, 102090, 115270, 111752, 97635, 103313, 101887, 107535, 103190, 107556, 54137, 101717, 101609, 105676, 100409, 103321, 100558, 104053, 115270, 111752, 100631, 220, 679, 15, 13, 114031, 15473, 103381, 112334, 104832, 101717, 29876, 110109, 111229, 102171, 666, 126083, 51427, 101220, 39015, 121514, 106862, 104832, 11, 121514, 97635, 54137, 103190, 101609, 105676, 100409, 103938, 103475, 121514, 102176, 101419, 13, 121444, 101997, 105976, 104053, 13081, 121514, 112334, 107092, 102610, 101071, 80226, 113030, 74625, 104540, 105676, 666, 126083, 51427, 101220, 11, 100409, 101359, 103147, 39015, 220, 11068, 121436, 48842, 220, 9335, 121436, 13, 110109, 111229, 102171, 666, 126083, 51427, 101220, 101627, 64578, 100930, 220, 114884, 105354, 102610, 125373, 112559, 779, 100409, 104053, 115270, 111752, 102259, 100744, 96094, 125170, 64578, 220, 2491, 121436, 101717, 86952, 13, 4194, 28588, 21042, 1050, 99936, 83, 11, 110749, 108818, 119141, 103562, 102962, 104540, 105676, 666, 126083, 51427, 101220, 11, 80226, 54137, 100540, 29876, 103562, 103475, 103421, 13081, 101609, 101959, 118505, 102655, 13, 650, 100988, 101120, 220, 18, 101420, 220, 605, 11, 102665, 64578, 104115, 101582, 104458, 50002, 445, 3029, 69, 1055, 11, 100524, 80226, 65161, 103190, 100403, 100944, 105128, 119293, 66626, 103253, 104140, 79328, 65161, 98583, 60835, 121514, 111229, 102171, 116238, 101975, 48842, 110109, 1630, 29024, 382, 51, 72279, 104097, 111752, 2463, 74686, 115270, 111752, 100788, 666, 126083, 51427, 101220, 106019, 106019, 101373, 779, 100409, 102673, 104628, 102975, 101831, 13, 386, 100784, 108116, 80226, 29876, 100930, 107221, 103775, 70186, 100403, 111802, 121750, 103475, 74625, 11, 100557, 104053, 115270, 111752, 105798, 102224, 80226, 107878, 101627, 102833, 104097, 111752, 2463, 74686, 115270, 101120, 107844, 102502, 320, 1490, 13, 806, 4, 70186, 100631, 220, 1049, 17, 11, 220, 5932, 13, 1484, 4, 87239, 100631, 220, 1049, 21, 11, 220, 5833, 13, 5495, 4, 70186, 100631, 220, 679, 15, 48842, 220, 5313, 13, 5932, 70186, 100631, 220, 679, 19, 13, 104305, 100944, 102412, 96095, 666, 126083, 51427, 101220, 106019, 101627, 64578, 100930, 25826, 108546, 101373, 95676, 79328, 63129, 101724, 107976, 95676, 100557, 100631, 220, 5162, 15, 13, 107386, 102536, 11, 104246, 100447, 25826, 108546, 100744, 80226, 103775, 118243, 11, 48842, 100852, 102250, 100788, 104246, 110099, 101194, 109130, 107976, 779, 100409, 79328, 100959, 54738, 983, 13845, 41038, 983, 60280, 35102, 382, 104570, 107361, 101091, 100944, 4815, 53, 86475, 102975, 97635, 64578, 107361, 65161, 220, 1691, 111391, 320, 75, 15492, 570, 104305, 103562, 101615, 103391, 101226, 100893, 100959, 100788, 101386, 103367, 64578, 102634, 111739, 320, 6292, 100784, 102711, 15960, 71348, 8, 320, 1974, 939, 3029, 85, 7113, 8, 48842, 100944, 102655, 101386, 103367, 320, 44283, 4511, 79855, 3833, 325, 8, 62428, 101091, 382, 110798, 104208, 102634, 36992, 5080, 113, 51427, 101220, 64578, 107361, 15473, 65161, 13081, 105956, 320, 8329, 9783, 277, 8, 39015, 480, 45326, 15697, 11, 328, 588, 15697, 48842, 8170, 81, 1974, 13, 650, 89871, 105283, 100886, 103421, 101821, 60835, 666, 126083, 51427, 101220, 2665, 100725, 100631, 220, 5245, 24, 39015, 35137, 3751, 1974, 11, 102962, 100959, 121498, 35882, 101120, 103091, 13, 33680, 100725, 104053, 109358, 101359, 101091, 100944, 656, 87779, 51715, 268, 84519, 47628, 104878, 101091, 100631, 220, 9892, 19, 79328, 105956, 97635, 64578, 107361, 39015, 220, 914, 103065, 104164, 320, 1974, 4991, 391, 696, 1691, 102410, 101740, 101091, 100944, 100944, 102004, 320, 75, 15492, 8, 54137, 103313, 101887, 117114, 100827, 100409, 79328, 103065, 104164, 100790, 39015, 1473, 1016, 49391, 104290, 102610, 101071, 39015, 102711, 109701, 53182, 13, 104305, 65161, 104290, 100809, 102869, 101419, 39015, 83246, 78529, 11, 386, 91856, 11, 549, 60643, 6181, 11, 6074, 3029, 10194, 11, 650, 2357, 3751, 3870, 82, 11, 35137, 265, 15222, 48842, 8170, 48372, 3029, 10194, 382, 45, 116612, 105976, 36992, 5080, 113, 51427, 101220, 29876, 100540, 64578, 107361, 15473, 100724, 105956, 106983, 31074, 109708, 101724, 110720, 48842, 101580, 102454, 100937, 101194, 39015, 105956, 114515, 108840, 101750, 106844, 101724, 110720, 13, 21402, 70343, 108840, 104470, 100906, 95676, 106983, 127845, 60835, 79328, 65161, 104290, 23768, 75, 77241, 11, 23718, 359, 48842, 95689, 85, 273, 11, 104988, 100790, 102761, 109035, 328, 3029, 1126, 5721, 77, 5364, 6347, 13, 650, 100988, 104988, 100631, 220, 7028, 15, 114515, 108840, 36992, 5080, 113, 51427, 101220, 104470, 100906, 64578, 104003, 114980, 13, 105322, 101227, 101935, 95676, 100631, 220, 7028, 22, 100725, 220, 7285, 22, 102761, 119731, 666, 126083, 51427, 101220, 64578, 103933, 103559, 104807, 27973, 483, 5721, 77, 48842, 480, 33351, 344, 548, 108095, 80768, 112010, 104504, 63129, 104053, 104003, 114980, 97635, 382, 125059, 101781, 103391, 101226, 100788, 101386, 124416, 103254, 64578, 101909, 107361, 65161, 220, 17, 101386, 25, 79328, 103562, 101615, 60835, 124416, 103254, 100558, 102165, 102634, 101317, 100705, 11, 105028, 101615, 103254, 101975, 11, 115340, 117713, 100524, 72552, 48842, 106590, 991, 48842, 114211, 112214, 101126, 102915, 60835, 124416, 103254, 102962, 100690, 103562, 101615, 60835, 220, 17212, 124416, 320, 74, 20372, 359, 705, 79328, 103065, 104164, 113030, 102759, 104771, 101329, 60835, 105389, 124416, 103254, 100403, 100558, 102165, 102634, 379, 101831, 11, 103115, 93530, 70186, 105956, 11, 102442, 106267, 102061, 103115, 93530, 29775, 102962, 100690, 102655, 103782, 60835, 79328, 101975, 101239, 103367, 320, 1974, 267, 287, 570, 445, 52649, 103254, 48842, 79328, 101975, 101239, 103367, 102143, 106796, 78474, 63672, 11, 79328, 106701, 78474, 101419, 48842, 103427, 101386, 102975, 96095, 80768, 26883, 102262, 2665, 79328, 102425, 100801, 97635, 382, 119989, 105671, 4815, 50302, 53985, 101135, 64578, 100932, 62428, 100788, 666, 126083, 51427, 101220, 104458, 79328, 101126, 100809, 60835, 100944, 105128, 13, 356, 102137, 104180, 666, 126083, 51427, 101220, 39015, 101126, 100809, 60835, 105186, 105128, 101609, 100809, 100725, 79328, 103357, 101218, 60835, 106642, 104180, 13, 445, 93402, 101406, 118781, 452, 6151, 26298, 76, 102173, 96095, 39015, 100403, 102410, 101740, 98154, 102975, 96095, 105003, 102962, 102106, 356, 102137, 328, 17099, 13, 1183, 54161, 103562, 60835, 116471, 100809, 1556, 119440, 666, 126083, 51427, 101220, 39015, 79328, 102425, 100801, 105084, 13845, 11644, 74686, 26298, 79, 11, 105084, 24040, 114884, 105900, 11, 101677, 105159, 15960, 71348, 101135, 48842, 101677, 105159, 100524, 101724, 13, 4194, 117899, 3029, 5544, 959, 3647, 587, 2002, 4194, 2387, 93402, 101406, 119314, 103763, 666, 126083, 51427, 101220, 8, 105003, 102962, 102106, 102173, 102257, 666, 126083, 51427, 101220, 11, 107892, 108151, 103562, 100690, 102425, 100801, 70186, 101227, 104800, 60835, 102686, 101406, 119314, 103763, 666, 126083, 51427, 101220, 13, 452, 6151, 26298, 76, 101615, 100944, 60835, 101126, 100809, 39015, 109770, 101700, 48842, 102454, 104003, 102686, 101406, 104426, 103427, 107575, 104800, 100788, 100959, 102507, 11, 101239, 101227, 102082, 111104, 104771, 101329, 102455, 103498, 105581, 103782, 87239, 100769, 101677, 105159, 666, 126083, 51427, 101220, 70186, 101317, 100827, 104854, 105931, 13, 445, 93402, 101406, 119314, 103763, 64578, 107361, 65161, 445, 93804, 105386, 11, 109306, 105386, 48842, 110647, 105386, 13, 109796, 112278, 100906, 102686, 101406, 119314, 103763, 39015, 107081, 116396, 105848, 101373, 320, 64461, 23129, 830, 30902, 71, 402, 9329, 11, 35137, 33, 705, 106312, 100809, 101373, 101386, 101071, 70186, 100970, 100959, 13, 33680, 101833, 100631, 220, 4468, 19, 11, 100893, 125953, 39015, 107081, 116396, 105848, 101373, 60835, 105386, 105671, 11, 102241, 100790, 100932, 101831, 70186, 119071, 101582, 111639, 220, 508, 100893, 125953, 103313, 101887, 54137, 118505, 40586, 109162, 109278, 103919, 105386, 100930, 382, 26697, 100725, 101227, 101643, 101325, 113209, 125948, 105931, 445, 101697, 11, 115816, 105530, 16854, 102790, 100788, 666, 126083, 51427, 101220, 103467, 101058, 100932, 100852, 104485, 101615, 105386, 100930, 104470, 113246, 96094, 100501, 104602, 104946, 13, 51427, 71348, 101120, 220, 16, 101420, 293, 105594, 10337, 78454, 220, 679, 15, 666, 126083, 51427, 101220, 293, 109285, 105118, 102489, 100447, 104485, 101615, 105386, 100930, 104470, 113246, 11, 103134, 29340, 102489, 100447, 104485, 101615, 105386, 100930, 101781, 123067, 13, 4194, 115373, 97635, 107009, 2665, 108135, 103517, 66626, 105386, 100852, 102090, 60835, 102686, 101406, 119314, 103763, 666, 126083, 51427, 101220, 99227, 101717, 104988, 220, 1399, 13, 931, 100524, 13, 1221, 66626, 97635, 270, 4381, 72900, 100557, 100631, 4194, 3753, 15, 101227, 101643, 102259, 100930, 274, 116021, 102510, 60835, 104540, 1630, 9769, 11, 100409, 220, 16, 11, 931, 11, 931, 105386, 382, 123436, 102536, 11, 101120, 220, 806, 101420, 220, 717, 100631, 220, 679, 19, 11, 656, 40357, 983, 116765, 100788, 103065, 104164, 73089, 11, 100944, 105128, 666, 126083, 51427, 101220, 24040, 100787, 105028, 86952, 100403, 101338, 102165, 102634, 104485, 101615, 105386, 100930, 104470, 113246, 11, 120455, 100988, 101700, 123363, 107708, 13, 114919, 220, 17, 101420, 220, 18, 100631, 220, 679, 22, 100944, 105128, 666, 126083, 51427, 101220, 24040, 100787, 105028, 86952, 103313, 101887, 102489, 100447, 104485, 101615, 105386, 100930, 104470, 113246, 11, 104470, 100906, 29876, 101882, 102686, 95676, 101120, 220, 16, 101420, 220, 16, 100631, 220, 679, 23, 382, 107237, 102686, 101406, 666, 126083, 51427, 101220, 80226, 103446, 96095, 87239, 100557, 102425, 100801, 102931, 77, 102644, 107575, 104800, 100683, 116657, 107575, 111229, 102171, 54932, 11, 328, 2483, 79, 11, 77428, 48842, 53739, 75287, 2259, 11, 80997, 11, 84625, 11, 5806, 276, 11, 21139, 48842, 43130, 382, 2232, 276, 102165, 109621, 103115, 271, 108178, 119071, 101582, 111639, 220, 508, 11, 100944, 96182, 101702, 109621, 60835, 666, 126083, 51427, 101220, 113458, 100790, 103731, 113303, 54137, 101609, 101325, 70186, 101227, 104800, 48842, 103498, 103190, 70186, 101227, 104854, 382, 21567, 100984, 113303, 103498, 103190, 60835, 666, 126083, 51427, 101220, 80226, 104470, 105493, 95676, 101582, 111639, 220, 777, 96094, 103033, 100959, 97635, 80226, 54137, 100788, 70186, 106860, 110649, 104854, 105931, 107976, 95676, 96094, 101325, 113209, 104854, 102090, 105084, 86952, 13106, 109051, 87239, 100631, 220, 10562, 19, 13, 4194, 108178, 115470, 104854, 103421, 47151, 666, 126083, 51427, 101220, 112278, 102507, 104053, 104854, 48842, 54137, 96095, 63672, 100970, 47151, 281, 383, 111778, 105676, 117155, 100883, 100558, 281, 383, 1183, 93804, 13, 107386, 102536, 100930, 103498, 103190, 60835, 102975, 96095, 97635, 70186, 125948, 105931, 101582, 102790, 103421, 47151, 103610, 101717, 102250, 39015, 100403, 102171, 101218, 104991, 105931, 272, 109285, 13, 105322, 100403, 66626, 101317, 100827, 11, 4194, 1016, 126083, 51427, 101220, 80226, 2665, 105599, 105386, 105671, 106756, 102173, 103254, 100886, 100610, 102165, 102634, 102761, 119731, 60835, 100501, 80768, 105303, 103134, 105386, 105671, 48842, 62858, 102061, 13, 103519, 103147, 39015, 934, 106362, 119731, 95676, 296, 86242, 100788, 106983, 127845, 666, 126083, 51427, 101220, 11, 100403, 103731, 89157, 105848, 100809, 102869, 101702, 100409, 101625, 102022, 104854, 105931, 60835, 106756, 13, 115414, 4168, 102536, 11, 666, 126083, 51427, 101220, 101004, 13845, 11644, 101959, 110223, 101338, 115648, 100766, 105159, 121498, 35882, 70186, 125948, 105931, 112199, 109708, 11, 48842, 80226, 101239, 102339, 2665, 105386, 111778, 105676, 64578, 109770, 101700, 121341, 32850, 17134, 13106, 109051, 48842, 51427, 276, 386, 101765, 100788, 666, 126083, 51427, 101220, 33254, 100631, 220, 6393, 18, 382, 108178, 100557, 100631, 100906, 125948, 105931, 445, 101697, 11, 666, 126083, 51427, 101220, 101325, 100827, 100944, 96182, 54137, 101609, 101325, 48842, 100403, 100930, 103446, 96095, 110099, 70186, 79328, 103357, 101218, 102975, 101831, 100409, 100944, 96182, 459, 119440, 113458, 100790, 102975, 102257, 104504, 122376, 13, 118420, 6151, 26298, 76, 101615, 117155, 60096, 105386, 105671, 666, 126083, 51427, 101220, 39015, 113602, 523, 112855, 105329, 104053, 113886, 63129, 87239, 102975, 96095, 97635, 13, 4194, 111778, 101227, 11, 100959, 97635, 102082, 111104, 100403, 115390, 100809, 102165, 105798, 342, 117225, 54137, 100944, 102004, 100409, 112937, 102282, 109316, 11, 103519, 103147, 39015, 70186, 109617, 104164, 116893, 102951, 93530, 25826, 103578, 102911, 13, 113093, 220, 6280, 17, 11, 100403, 106669, 11162, 12, 18, 60835, 666, 126083, 51427, 101220, 100947, 293, 102675, 436, 101548, 100790, 12371, 87982, 73089, 104458, 100403, 102022, 23542, 109433, 102686, 38651, 12, 868, 60835, 104540, 1630, 9769, 13, 42116, 100744, 100403, 104053, 101309, 9781, 2665, 102874, 106669, 102022, 23542, 97635, 100932, 100930, 80226, 78474, 121750, 93530, 25826, 2665, 30334, 13, 4194, 111221, 106669, 102022, 23542, 101419, 11, 102022 ] ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	7.772803

[ [ 128000, 36779, 13581, 18137, 3507, 7767, 39015, 100403, 101744, 101774, 102975, 101831, 102425, 100801, 23526, 104033, 122667, 11, 23526, 100944, 105128, 48842, 103253, 104140, 79328, 65161, 98583, 29876, 101291, 100447, 103847, 104710, 13, 116170, 101774, 97635, 108468, 102869, 100725, 25, 102673, 104628, 11, 104300, 107992, 48842, 79328, 103357, 101218, 100690, 100944, 96182, 13, 111559, 100790, 220, 9591, 101744, 101774, 65161, 98583, 48842, 220, 2397, 13, 931, 65161, 98583, 59801, 101121, 11, 3507, 7767, 103253, 104140, 100557, 390, 100524, 105688, 100540, 70186, 107072, 101239, 8191, 13, 386, 102253, 26883, 103839, 29876, 100540, 103765, 102874, 100683, 3997, 60835, 3507, 7767, 382, 36779, 13581, 110166, 100788, 105798, 102711, 109701, 6652, 11, 11162, 11, 107559, 108039, 48842, 45345, 11, 666, 126083, 328, 100975, 13, 112553, 101975, 98583, 60835, 101176, 103253, 104140, 101194, 220, 9591, 101744, 101774, 65161, 98583, 48842, 101194, 220, 2397, 13, 931, 59801, 101121, 13, 107842, 98583, 101717, 29876, 100540, 101781, 103190, 100403, 26883, 125708, 60835, 101744, 101774, 113346, 101036, 101740, 102984, 101535, 102915, 104672, 13, 124722, 103091, 101744, 101774, 29876, 101833, 220, 1954, 26883, 125708, 100790, 101887, 101582, 102790, 382, 45, 6151, 26298, 76, 101615, 48842, 104495, 112957, 102425, 100801, 198, 33, 100766, 104673, 11, 106607, 119314, 2665, 100930, 101580, 102454, 11, 106335, 106513, 48842, 100886, 100610, 8191, 64578, 109146, 104033, 101071, 2665, 105329, 100524, 100790, 101887, 101582, 102790, 382, 120069, 102695, 198, 43, 100954, 100886, 8191, 271, 1016, 309, 105793, 271, 46521, 28119, 101325, 102507, 27907, 720, 3507, 7767, 101798, 31074, 198, 358, 43339, 323, 279, 8191, 13581, 482, 126573, 8191, 17005, 5546, 11994, 48842, 3507, 7767, 11, 103900, 60835, 650, 396, 28764, 69, 220, 972, 14, 22, 14, 2550, 20, 198, 445, 529, 64561, 4514, 38135, 409, 445, 332, 668, 2140, 265, 1208, 34711, 99495, 13109, 101764, 105438, 198, 3142, 25074, 33212, 271, 36779, 198, 51, 61357, 101774, 102975, 101831, 198, 51, 61357, 101774, 23526, 104033, 122667, 198, 46451, 102069, 104628, 8191, 198, 47888, 102585, 100906, 100631, 220, 2550, 17, 198, 2232, 41807, 101226, 8191, 128000, 46451, 27160, 983, 101798, 11, 101004, 105475, 39015, 103824, 101798, 31074, 18137, 101798, 110204, 39015, 119271, 110204, 60835, 100524, 101798, 48842, 39015, 119271, 110204, 100944, 102004, 100683, 101798, 31074, 13, 110992, 39015, 103824, 108527, 15199, 101498, 60835, 104988, 220, 5313, 4, 101724, 110720, 101798, 31074, 101708, 100409, 101194, 220, 19, 106002, 100524, 101798, 20548, 41038, 84, 13, 124942, 101798, 101717, 39015, 119271, 110204, 103421, 47151, 60835, 79328, 101724, 114227, 119293, 66626, 100683, 101798, 31074, 48842, 39015, 119271, 110204, 101724, 114227, 119293, 66626, 64578, 63129, 101627, 100683, 116657, 107575, 328, 20243, 382, 35, 103416, 100790, 95676, 104029, 983, 101126, 101764, 11, 103824, 101798, 64578, 101909, 101278, 39015, 100403, 119271, 110204, 102962, 110204, 102165, 31074, 43912, 13, 124942, 101798, 39015, 119271, 110204, 29876, 100937, 100524, 102811, 101071, 70186, 110204, 102165, 97635, 320, 77, 6151, 41038, 84, 101194, 105596, 66626, 100524, 102811, 60835, 105478, 100970, 79328, 119271, 110204, 101717, 86952, 70186, 110204, 102165, 570, 110780, 101798, 31074, 102962, 650, 89871, 103353, 116361, 108625, 43912, 11, 103824, 101798, 101004, 107892, 100937, 102620, 105579, 100690, 95676, 103824, 473, 11644, 11, 656, 103453, 39015, 119271, 110204, 29876, 106844, 101643, 104256, 101239, 101071, 100409, 79328, 119271, 110204, 101419, 70186, 110204, 102165, 31074, 43912, 382, 43, 100954, 100886, 720, 110798, 362, 13, 480, 13, 473, 8039, 2265, 29686, 101982, 104672, 95676, 100631, 220, 6280, 19, 11, 108442, 119271, 110204, 101798, 5364, 78969, 100788, 101227, 103475, 104988, 100906, 103078, 103731, 39015, 100557, 119271, 110204, 18137, 102282, 110204, 54137, 104551, 74686, 70320, 13, 126573, 33254, 11, 74625, 102759, 101291, 103115, 270, 20103, 100409, 107559, 110204, 48842, 101071, 39015, 100409, 79328, 110204, 102962, 110204, 102165, 22448, 16222, 329, 2192, 106897, 29876, 102165, 102634, 104551, 74686, 70320, 101580, 102454, 101373, 101194, 11, 102165, 102634, 104551, 74686, 70320, 70186, 103824, 101798, 101616, 100852, 48842, 29876, 104160, 296, 89416, 100558, 101120, 103091, 11, 101036, 101050, 103704, 101157, 65161, 104551, 74686, 70320, 13, 117272, 101616, 100852, 79328, 104551, 74686, 70320, 11, 104470, 100906, 104988, 101582, 111639, 103421, 30768, 320, 339, 103898, 103475, 108840, 102962, 70186, 105283, 100886, 101798, 31074, 8, 100409, 220, 18, 104551, 74686, 70320, 48842, 101580, 102454, 102695, 87239, 104988, 101582, 111639, 87915, 320, 17134, 6496, 117642, 8, 100409, 220, 21, 104551, 74686, 70320, 13, 42116, 100744, 100403, 66626, 105081, 106038, 100906, 103436, 102951, 2665, 101833, 101120, 103091, 13, 105322, 102759, 101291, 103436, 102951, 11, 79328, 105081, 106038, 107690, 436, 51583, 983, 74686, 100724, 104115, 102951, 79328, 101325, 113209, 106038, 103839, 48842, 105081, 106038, 100906, 103134, 95676, 124622, 326, 111322, 105430, 104551, 100409, 104832, 104551, 29340, 125504, 103147, 382, 53, 2483, 100533, 60835, 362, 1246, 13, 473, 8039, 2265, 29686, 382, 1305, 100494, 101227, 108361, 102962, 271, 46451, 27160, 983, 101798, 39015, 119271, 110204, 102143, 70186, 98932, 102425, 103115, 101959, 60835, 101724, 102127, 95676, 96094, 103190, 100959, 13, 110965, 72, 107240, 95676, 100906, 103078, 103731, 11, 103824, 101798, 29876, 100557, 106038, 54137, 29876, 70186, 103824, 102746, 13, 112367, 96094, 103824, 102746, 29876, 102620, 105579, 101833, 101798, 31074, 93530, 74625, 79328, 390, 102761, 48842, 103253, 104140, 79328, 112252, 107240, 101419, 103321, 11, 103824, 101798, 104470, 100906, 29876, 100557, 106038, 113039, 296, 44737, 77, 95676, 103824, 102746, 13, 104305, 101779, 107951, 43356, 122194, 921, 101853, 11, 119644, 106756, 452, 76176, 70320, 48842, 111978, 1183, 102419, 64913, 71348, 70186, 122216, 96182, 116471, 102915, 119271, 110204, 100705, 48842, 103824, 101798, 107361, 102759, 101291, 101959, 114762, 473, 11644, 1389, 101798, 65161, 220, 17, 112252, 107240, 100944, 25, 720, 110965, 72, 107240, 95676, 100906, 103078, 103731, 100725, 100906, 101227, 100893, 118018, 320, 52096, 92112, 101582, 111639, 58333, 705, 95676, 104029, 983, 103824, 473, 11644, 102620, 105579, 101833, 103824, 101798, 70186, 112252, 107240, 97635, 105475, 39015, 95676, 473, 11644, 106607, 280, 110965, 72, 107240, 95676, 101227, 100893, 118018, 320, 339, 27160, 111639, 58333, 1389, 101582, 111639, 1630, 8, 103270, 100690, 33254, 11, 95676, 104029, 983, 103824, 473, 11644, 102620, 105579, 101833, 103824, 101798, 70186, 112252, 107240, 97635, 105475, 39015, 95676, 473, 11644, 101798, 382, 125330, 473, 11644, 106607, 48842, 95676, 473, 11644, 101798, 105475, 105976, 39015, 95676, 112240, 473, 11644, 382, 16, 66626, 95676, 110204, 473, 11644, 106607, 29876, 100540, 107976, 100725, 100558, 330, 52096, 92112, 498, 330, 30528, 498, 330, 876, 27160, 498, 330, 24976, 498, 330, 65, 6496, 498, 330, 66, 9769, 498, 330, 331, 4558, 498, 330, 983, 6496, 498, 330, 331, 10610, 498, 330, 331, 17060, 498, 330, 331, 103019, 498, 330, 20218, 102493, 498, 330, 20218, 103290, 498, 330, 20218, 103939, 498, 330, 76, 109961, 498, 330, 76, 106102, 53670, 112367, 473, 11644, 106607, 39015, 100557, 95676, 112240, 473, 11644, 3930, 63672, 87239, 103824, 101798, 95676, 109387, 101194, 11, 80226, 101239, 116361, 104504, 101194, 11, 101485, 100557, 95676, 97635, 100852, 103091, 39015, 95676, 93530, 102127, 70186, 102425, 100801, 103254, 101975, 101702, 100409, 100524, 101798, 382, 39, 26298, 102634, 95676, 473, 11644, 101798, 70186, 103824, 101798, 101743, 101359, 113354, 79328, 111244, 473, 11644, 101036, 110204, 106038, 100852, 29876, 60835, 103824, 101798, 320, 83, 86475, 101781, 100558, 100524, 108211, 109602, 104752, 100610, 13728, 7910, 101702, 100409, 111244, 473, 11644, 48842, 62788, 74, 3444, 100409, 79328, 103824, 100959, 102507, 101419, 570, 124722, 103091, 29876, 220, 6393, 20, 111244, 473, 11644, 93530, 100610, 70186, 103824, 108211, 11, 101004, 29876, 104988, 220, 1049, 15, 95676, 473, 11644, 4235, 39, 89702, 93530, 100610, 13, 112553, 101406, 95676, 104029, 983, 103824, 101798, 29876, 102695, 62858, 122775, 79328, 105334, 106085, 473, 11644, 4235, 36644, 26298, 83, 13, 120452, 39015, 330, 331, 43604, 498, 330, 79920, 498, 330, 83, 87828, 498, 330, 1083, 71, 498, 330, 52096, 96063, 498, 330, 339, 100374, 498, 330, 83, 62131, 656, 498, 1131, 102644, 103731, 104485, 99227, 101419, 101359, 113354, 26, 18137, 104115, 102951, 101740, 102984, 100558, 330, 77, 6151, 26298, 83, 308, 78789, 1, 65161, 330, 77, 78789, 107421, 498, 330, 339, 100489, 120855, 1, 65161, 330, 764, 102818, 104672, 498, 330, 52096, 101649, 101677, 1, 65161, 330, 65, 100766, 104673, 53670, 26, 101535, 118983, 122446, 100558, 330, 339, 112040, 490, 70711, 1, 65161, 330, 376, 70711, 1, 320, 376, 647, 490, 70711, 100893, 705, 330, 75, 102696, 106230, 98932, 1, 65161, 330, 75, 102696, 1, 320, 376, 647, 100316, 113079, 11, 101717, 105475, 39015, 121319, 1343, 102091, 40125, 26, 101535, 113354, 523, 26298, 331, 74686, 100558, 274, 100485, 63672, 320, 331, 57073, 473, 11644, 25, 56159, 240, 17701, 8, 65161, 104180, 63672, 11, 102634, 102442, 320, 105156, 82420, 8, 65161, 102634, 108272, 11, 80768, 118521, 320, 116875, 108324, 8, 65161, 101218, 118521, 11, 101806, 110720, 320, 121078, 104157, 8, 65161, 105976, 110720, 11, 101677, 105999, 320, 33563, 16205, 250, 8, 65161, 102911, 105999, 11, 348, 121483, 106642, 320, 104198, 86354, 8, 65161, 348, 111517, 106642, 320, 107130, 86354, 705, 121000, 59965, 72, 320, 53508, 116, 107691, 8, 65161, 121000, 111105, 320, 53508, 116, 126735, 705, 348, 40492, 348, 40492, 26, 18137, 102951, 101419, 104485, 103313, 101887, 100558, 330, 764, 86475, 23526, 1, 70186, 103824, 473, 11644, 29876, 104485, 39015, 330, 99761, 272, 86242, 118196, 40425, 1, 101105, 70186, 103824, 101798, 86952, 39015, 330, 65, 89577, 102238, 498, 330, 65, 102490, 109195, 1, 70186, 103824, 473, 11644, 104485, 39015, 330, 52096, 72, 74686, 86952, 86952, 1, 29340, 103824, 101798, 65161, 330, 65, 103290, 523, 103290, 11, 114762, 100801, 53670, 126787, 101419, 11, 100524, 102746, 102173, 105475, 39015, 110420, 112525, 11, 111978, 103888, 11, 106607, 114789, 1131, 101105, 100524, 101798, 86952, 113354, 39015, 120939, 110420, 112525, 11, 117650, 111978, 103888, 11, 106510, 106607, 114789, 320, 76, 100784, 108116, 117257, 284, 120939, 11, 305, 6496, 284, 117650, 11, 114789, 284, 106510, 40125, 3234, 101624, 101050, 118259, 60835, 119271, 110204, 100920, 101338, 102176, 100744, 79328, 101359, 113354, 72732, 101419, 100409, 103824, 473, 11644, 103610, 29876, 16796, 100744, 108983, 101627, 48842, 100886, 100610, 70186, 96094, 79328, 100893, 107829, 104825, 119271, 110204, 103824, 101798, 100852, 103091, 101004, 100558, 79328, 101126, 100809, 11, 79328, 101386, 103391, 101226, 11, 101744, 101774, 103254, 101975, 1389, 110461, 101378, 124622, 79328, 100893, 102637, 100705, 101798, 31074, 29876, 100540, 104403, 103765, 64578, 103824, 102811, 105976, 70186, 100769, 104628, 116361, 101359, 100886, 100610, 105197, 107000, 48842, 95676, 104029, 983, 296, 44737, 77, 95676, 103824, 100959, 102507, 13, 121777, 106811, 100744, 11, 29876, 100557, 95676, 29876, 100540, 80226, 102143, 72732, 100558, 330, 89537, 127210, 1, 102143, 48842, 105744, 100558, 330, 385, 127210, 498, 330, 85, 101299, 120879, 1, 105744, 39015, 330, 85, 101299, 101218, 20622, 101982, 498, 330, 85, 9769, 101157, 103498, 1, 101105, 105717, 65161, 330, 85, 9769, 101157, 105976, 1, 18137, 330, 85, 9769, 101157, 86636, 498, 330, 10176, 26298, 83, 294, 3282, 1, 39015, 330, 331, 105277, 105581, 5233, 330, 376, 59912, 101779, 1, 102143, 100558, 330, 82, 100659, 101779, 498, 330, 764, 647, 104551, 1, 102143, 100558, 330, 764, 647, 1343, 29024, 498, 330, 65, 52649, 100809, 1, 102143, 100558, 330, 65, 52649, 127546, 498, 330, 52096, 100988, 116908, 1, 102143, 39015, 330, 52096, 100766, 116908, 498, 330, 339, 309, 100809, 1, 65161, 330, 339, 78454, 100809, 498, 330, 87, 11644, 326, 50986, 1, 65161, 330, 82, 100659, 326, 101181, 1, 5551, 110798, 118259, 101406, 60835, 79328, 100893, 107829, 104825, 11, 95676, 473, 11644, 101798, 115678, 104988, 100790, 104837, 220, 2031, 4, 106897, 95676, 70186, 106284, 101359, 100944, 108283, 11, 102637, 100705, 320, 44, 13671, 56771, 101105, 2665, 103456, 11, 101806, 115678, 101194, 220, 1399, 4, 101406, 95676, 103824, 101798, 570, 350, 30441, 107951, 115516, 105947, 117007, 70186, 122216, 96182, 112367, 111244, 473, 11644, 100725, 111244, 452, 95465, 101105, 2665, 103456, 100690, 109617, 104164, 103847, 107551, 48842, 102637, 100705, 102833, 104097, 97635, 29876, 100540, 102123, 100725, 220, 1490, 4, 102241, 96094, 101627, 106736, 100690, 103353, 110204, 70186, 100403, 122216, 113134, 114921, 101105, 99227, 101717, 220, 717, 11, 23, 13689, 597, 100954, 102811, 118983, 109968, 101717, 220, 23, 11, 24, 4, 48842, 119271, 110204, 102811, 111301, 305, 100948, 101120, 101717, 110099, 101194, 107109, 382, 107237, 95676, 48842, 95676, 106085, 473, 11644, 101798, 101700, 15473, 79328, 95676, 110204, 93205, 2665, 103824, 101798, 100558, 106312, 104160, 11, 23526, 63129, 11, 103253, 104140, 11, 103978, 100801, 11, 98932, 15199, 101498, 11, 348, 40492, 348, 40492, 13, 105322, 96094, 103824, 101798, 105475, 39015, 101580, 104551, 320, 103106, 113671, 8, 101105, 103824, 473, 11644, 86952, 105475, 39015, 106217, 96, 76750, 119062, 293, 1995, 26, 103824, 101798, 105475, 39015, 104208, 101157, 320, 109365, 83799, 8, 101105, 103824, 473, 11644, 105475, 39015, 110147, 103984, 101926, 101925, 26, 103824, 101798, 105475, 39015, 65161, 104290, 320, 60174, 110544, 103, 705, 101925, 103254, 320, 23530, 61337, 8, 101105, 103824, 473, 11644, 105475, 39015, 109450, 101925, 13, 124942, 101798 ] ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

12.920596

[ [ 80226, 104033, 100610, 64578, 100557, 65161, 101781, 84, 119271, 110204, 70186, 103824, 473, 11644, 80768, 101781, 109358, 104878, 102140, 382, 42, 34550, 95676, 100906, 101582, 111639, 103421, 54343, 11, 452, 6292, 100705, 101580, 102454, 11, 100769, 100705, 106607, 103353, 96095, 102502, 11, 112214, 105536, 102984, 102004, 106335, 106513, 101700, 102881, 101218, 2665, 100403, 108342, 103353, 107413, 60835, 100524, 101798, 101743, 106607, 103353, 101580, 102454, 100409, 79328, 19216, 983, 103353, 106831, 31644, 100533, 100558, 31074, 102975, 117257, 305, 6496, 103381, 117650, 120452, 17030, 105824, 320, 82, 24976, 356, 92112, 3677, 34, 89871, 101227, 101935, 97635, 11, 16796, 100744, 103933, 107000, 220, 16, 102165, 102634, 111244, 105717, 2665, 100524, 101798, 101036, 103731, 113303, 107878, 106038, 103839, 101580, 102454, 11, 100744, 39015, 111244, 452, 95465, 13, 114157, 106352, 2665, 100769, 100705, 111244, 473, 11644, 48842, 111244, 452, 95465, 60835, 100524, 101798, 11, 17030, 9769, 666, 24439, 91553, 107485, 320, 11771, 21, 4235, 5245, 18, 8, 80226, 112976, 779, 50986, 122216, 96182, 29988, 113207, 101781, 101982, 106038, 320, 66, 101240, 105475, 39015, 29988, 113207, 101781, 11, 350, 62131, 100705, 311, 41807, 105334, 570, 29988, 113207, 101781, 101982, 106038, 99227, 116368, 113480, 220, 3101, 15, 111244, 473, 11644, 11, 452, 95465, 93530, 102127, 11, 109180, 102329, 105920, 102025, 101621, 101846, 11, 112572, 111244, 11, 112572, 104485, 105389, 111244, 11, 105537, 106821, 220, 19, 111244, 13, 124254, 348, 70711, 101004, 29876, 101643, 103519, 103147, 11, 110939, 39015, 348, 70711, 326, 103533, 320, 88, 102069, 105303, 11, 348, 70711, 104807, 106821, 570, 124942, 103421, 220, 19, 106821, 100906, 15960, 26298, 79, 100409, 103824, 103421, 47151, 106821, 104837, 105757, 102880, 101582, 59965, 72, 100725, 220, 3101, 15, 111244, 11, 220, 11711, 106821, 13, 111772, 100533, 25, 114956, 1389, 112431, 11, 103077, 1389, 103033, 11, 111752, 1389, 272, 52458, 11, 113182, 1389, 101717, 11, 104386, 1389, 390, 11, 116521, 1389, 523, 116906, 11, 120593, 1389, 274, 116906, 11, 26555, 1389, 13081, 11, 96095, 1389, 100893, 11, 102975, 1389, 100959, 11, 102881, 1389, 102259, 11, 111623, 1389, 33254, 11, 7933, 101898, 1389, 490, 101208, 11, 59965, 1389, 7933, 103416, 11, 272, 62131, 1389, 272, 103416, 11, 308, 4317, 1389, 111163, 11, 105430, 1389, 523, 59697, 11, 104832, 1389, 29876, 11, 24040, 101695, 1389, 127153, 11, 119429, 1389, 294, 5615, 29775, 114184, 106422, 15754, 100485, 104174, 101383, 102224, 117111, 99227, 39015, 101050, 87982, 96182, 113480, 100705, 100289, 94, 99270, 100690, 111244, 473, 11644, 100558, 80226, 122087, 100788, 100790, 102241, 100932, 15473, 101004, 29876, 100540, 116523, 101176, 100944, 39015, 96182, 112367, 124899, 473, 11644, 101798, 93530, 102127, 48842, 109908, 103436, 100788, 107690, 101582, 111639, 53694, 23440, 11, 101708, 101227, 100409, 79328, 96182, 115652, 16854, 7933, 83126, 106038, 11, 115652, 16854, 100947, 101278, 48842, 101616, 100852, 102259, 79328, 96182, 108211, 100610, 102127, 15199, 105699, 11, 114956, 101781, 103353, 48842, 104620, 31074, 102975, 110204, 382, 1016, 103898, 108361, 102962, 720, 125330, 96094, 108361, 865, 87828, 116368, 101798, 31074, 87239, 127483, 107690, 101582, 111639, 103421, 1630, 5511, 11, 103824, 108361, 118243, 104115, 101582, 101740, 102984, 60835, 106607, 103353, 11, 103270, 65161, 119271, 110204, 100944, 102004, 70186, 104300, 107992, 11, 101091, 100944, 48842, 109621, 103115, 13, 921, 57073, 102173, 110204, 320, 331, 57073, 20023, 71, 103824, 101798, 705, 656, 100403, 66626, 100893, 104208, 104300, 114121, 117643, 101700, 15473, 11, 103519, 103147, 39015, 47151, 9964, 106312, 100524, 426, 71780, 125070, 121659, 21523, 1768, 656, 74757, 278, 48842, 23245, 47142, 12252, 11, 100409, 104495, 112957, 9120, 100906, 39015, 102143, 104047, 101781, 20023, 71, 107878, 86952, 103824, 101798, 11, 64578, 100944, 102655, 108361, 102962, 101677, 105354, 100886, 100610, 108095, 104115, 101582, 111244, 473, 11644, 100409, 111244, 452, 95465, 80768, 101239, 103353, 101781, 100409, 103824, 108361, 11, 118243, 118243, 100886, 100610, 109908, 103436, 70186, 103254, 101975, 101708, 103824, 108361, 382, 38, 689, 122865, 102911, 39015, 117103, 102911, 100906, 103451, 100920, 101580, 101091, 101743, 111244, 102173, 110204, 100683, 31074, 108039, 87239, 100631, 220, 9714, 20, 11, 103586, 108342, 66842, 983, 2665, 100930, 101580, 102454, 48842, 93754, 103628, 60835, 111244, 102173, 110204, 100558, 39015, 111244, 105717, 100944, 60835, 103824, 101798, 33254, 97635, 382, 44, 101010, 101419, 11, 100557, 24040, 100986, 113632, 100944, 102412, 103254, 101975, 11, 105114, 103981, 93205, 103090, 100725, 100769, 63672, 79328, 103981, 110204, 11, 95676, 110204, 93205, 13, 108430, 220, 17, 93754, 103628, 100690, 101359, 102004, 63672, 103981, 110204, 39015, 512, 91553, 37845, 95676, 110641, 106038, 60835, 119271, 110204, 102282, 109316, 11, 102171, 105334, 39015, 95676, 103824, 108361, 48842, 29876, 100540, 100886, 100610, 104458, 112214, 105536, 101925, 101724, 29876, 100540, 106897, 54137, 270, 89416, 111244, 473, 11644, 220, 100558, 107878, 109708, 11, 1343, 29024, 11, 326, 28707, 79, 11, 342, 59697, 11, 281, 5615, 15199, 276, 11, 1343, 84, 100650, 102502, 320, 77, 352, 105475, 39015, 1343, 84, 101033, 705, 1131, 720, 91553, 37845, 74625, 106038, 473, 11644, 101798, 60835, 111244, 473, 11644, 95676, 103824, 102746, 48842, 103824, 108211, 320, 83, 101853, 473, 11644, 20198, 100720, 112240, 108211, 8, 100558, 100944, 121514, 11, 101793, 101831, 11, 112252, 101386, 11, 103943, 112134, 11, 106821, 113079, 101625, 29775, 105322, 102790, 103353, 106230, 101105, 79328, 105197, 107000, 102282, 119928, 100920, 102143, 39015, 95676, 473, 11644, 101798, 100558, 43912, 356, 100955, 51427, 59606, 320, 96517, 705, 452, 3282, 2405, 1995, 18866, 40492, 320, 45, 391, 60203, 705, 1131, 18137, 126661, 426, 101765, 106459, 238, 66, 320, 80859, 6496, 1183, 102723, 705, 2195, 114366, 100631, 220, 6393, 20, 720, 46451, 27160, 983, 101798, 104115, 101582, 103313, 101887, 103824, 108361, 48842, 103353, 119271, 11, 103270, 65161, 119271, 110204, 100724, 100769, 101386, 102975, 96095, 102082, 101071, 60835, 101798, 31074, 111229, 102171, 116657, 11640, 6496, 382, 108178, 101227, 103475, 104854, 105931, 101798, 31074, 11, 100930, 101580, 102454, 103824, 101798, 70186, 100944, 100540, 101798, 31074, 111229, 102171, 116657, 107575, 100788, 114515, 108840, 48842, 101798, 31074, 116657, 107575, 100788, 114515, 31074, 106371, 15473, 29876, 101419, 103321, 11, 102171, 105334, 100788, 100886, 100610, 95676, 473, 11644, 20198, 100720, 48842, 110641, 106038, 105197, 70186, 103824, 100959, 102507, 382, 124412, 114515, 108840, 320, 36644, 26298, 83, 31074, 111229, 102171, 116657, 107575, 8, 29876, 93754, 103628, 103134, 29340, 100886, 100610, 95676, 78474, 70711, 101798, 104115, 101582, 95676, 473, 11644, 101798, 101708, 104485, 101717, 100788, 114515, 31074, 320, 36644, 26298, 83, 31074, 116657, 107575, 8, 101105, 103610, 102644, 103731, 100769, 100886, 100610, 95676, 473, 11644, 101798, 100558, 101227, 102259, 220, 6393, 20, 13, 111772, 100533, 100558, 114515, 31074, 103610, 102644, 105197, 330, 21567, 40492, 62858, 102173, 96095, 1, 70186, 96094, 114515, 108840, 102951, 65161, 330, 21567, 40492, 62858, 106450, 100959, 1, 320, 5162, 15, 705, 114515, 31074, 105475, 39015, 330, 17247, 101317, 1, 101105, 114515, 108840, 105475, 39015, 330, 82, 40492, 23542, 498, 114515, 31074, 105475, 39015, 330, 21567, 100647, 15754, 30441, 126683, 1, 101105, 114515, 108840, 105475, 39015, 330, 43, 92112, 113093, 480, 103400, 498, 114515, 31074, 105475, 39015, 330, 41325, 26298, 20921, 117575, 101582, 104854, 1, 101105, 114515, 108840, 105475, 39015, 330, 57735, 71348, 105931, 101582, 102790, 103421, 101071, 498, 114515, 31074, 105475, 39015, 330, 71, 86242, 64, 9165, 5080, 101792, 1, 101105, 114515, 108840, 105475, 39015, 330, 83, 28119, 119942, 498, 114515, 31074, 105475, 39015, 330, 339, 106430, 105386, 120593, 104854, 1, 101717, 114515, 108840, 102951, 65161, 330, 75, 100474, 109918, 104174, 101625, 498, 1131, 17030, 58910, 86952, 100788, 114515, 108840, 86952, 102143, 100403, 66626, 99996, 95676, 104470, 105493, 95676, 103824, 473, 11644, 100558, 330, 339, 309, 100809, 498, 330, 82, 62131, 107780, 498, 330, 17134, 52458, 102984, 498, 330, 52096, 59697, 104047, 498, 330, 52096, 95413, 101616, 498, 330, 85, 9769, 101821, 498, 1131, 101105, 114515, 31074, 86952, 102143, 100557, 111244, 330, 339, 78454, 3355, 27160, 983, 498, 330, 376, 79920, 127210, 22205, 93804, 490, 100784, 498, 330, 52096, 102493, 99270, 498, 330, 76176, 105197, 498, 330, 65, 52458, 123809, 498, 330, 339, 78, 76150, 113108, 498, 2195, 125059, 110641, 102090, 103077, 99996, 103824, 100959, 102507, 101105, 100788, 114515, 31074, 103610, 101036, 101359, 102259, 220, 6393, 20, 39015, 102143, 105197, 101036, 95676, 473, 11644, 101798, 11, 100558, 426, 59697, 51427, 100766, 320, 40, 36316, 705, 102932, 66, 104620, 445, 110555, 320, 49137, 705, 26604, 110965, 445, 110555, 320, 90475, 661, 705, 14659, 109316, 320, 68299, 705, 1131, 118338, 114515, 108840, 101105, 103134, 29340, 102143, 105197, 105475, 104470, 105493, 95676, 119271, 110204, 54137, 101058, 103824, 473, 11644, 320, 339, 2483, 100533, 25, 57086, 6695, 39815, 86657, 11, 111667, 6695, 376, 100520, 76646, 7561, 11, 26604, 2427, 64, 12, 462, 1131, 705, 114571, 15473, 100403, 66626, 105197, 473, 11644, 101798, 109908, 103436, 100558, 330, 3438, 100485, 498, 330, 41325, 96063, 498, 330, 2127, 71, 498, 330, 45, 6885, 53670, 356, 1995, 103147, 320, 66, 1832, 100540, 39015, 102082, 101071, 8, 220, 16, 105197, 103824, 102746, 39015, 68844, 526, 320, 983, 86632, 1183, 100659, 8, 330, 17247, 28119, 106038, 105003, 101959, 1, 65161, 33680, 526, 70186, 105197, 105475, 100944, 102004, 330, 42, 17156, 101781, 102412, 101724, 114227, 33680, 526, 117241, 109316, 11690, 114366, 96094, 101798, 31074, 102634, 101071, 87239, 100631, 220, 4468, 20, 11, 100809, 102165, 108840, 11500, 309, 80226, 101325, 109035, 86952, 13, 480, 70711, 102224, 11, 100930, 109908, 103436, 101194, 60835, 79328, 102282, 106352, 104208, 104551, 48842, 104208, 101157, 100790, 101887, 102975, 110223, 101338, 104628, 102061, 103824, 101798, 100690, 100944, 107092, 48842, 106038, 74686, 70320, 13, 112367, 473, 11644, 101798, 48842, 95676, 78474, 70711, 101798, 64578, 100524, 101798, 100886, 100610, 5609, 5609, 113346, 102962, 110204, 106642, 18137, 103353, 106284, 13, 117272, 1891, 110720, 80768, 100705, 102455, 48842, 100724, 100769, 104807, 79328, 105956, 114515, 102356, 105329, 100524, 100788, 101798, 31074, 64578, 101959, 114762, 48842, 105744, 100937, 101194, 100409, 79328, 102282, 110204, 103824, 101798, 382, 3438, 40492, 105900, 4815, 110798, 14693, 77, 77828, 11, 103824, 101798, 29876, 100683, 104491, 11, 14659, 35882, 11, 9702, 1412, 689, 11, 356, 90486, 294, 42069, 3415, 556, 11, 106756, 11, 103888, 35882, 11, 445, 100988, 11, 13106, 109051, 11, 60287, 89581, 76450, 978, 15357, 648, 11, 121498, 35882, 11, 108361, 11, 26363, 11, 116657, 107575, 328, 20243, 11, 328, 32453, 16876, 11, 110420, 35882, 11, 13000, 84, 36409, 11, 126683, 36181, 11, 115668, 1131, 52830, 5615, 983, 102746, 102173, 29876, 100524, 112698, 101764, 103077, 100788, 108625, 473, 103533, 11, 103824, 101798, 60835, 100501, 29876, 117738, 125565, 106038, 13845, 102419, 60835, 79328, 119271, 110204, 473, 11644, 320, 2232, 276, 107181, 11, 103824, 117241, 108625, 29775, 3677, 46451, 27160, 983, 101798, 39015, 119271, 110204, 101724, 114227, 119293, 66626, 100683, 116657, 107575, 328, 20243, 102481, 100524, 101798, 64578, 63129, 101627, 39015, 330, 67, 40492, 114227, 119293, 66626, 1, 100683, 328, 20243, 382, 3438, 86475, 110204, 4815, 46451, 27160, 983, 101798, 29876, 100930, 104115, 102951, 70186, 13845, 102419, 102811, 95676, 108840, 87239, 31074, 11, 54137, 119949, 7933, 95413, 100920, 9165, 26298, 76, 104878, 118243, 101036, 105389, 105956, 119103, 103321, 13, 105322, 100744, 11, 13845, 102419, 108840, 320, 72467, 122865, 1389, 110420, 106934, 705, 13845, 102419, 102746, 22546, 27160, 48842, 13845, 102419, 31074, 328, 53651, 480, 101240, 39015, 220, 18, 101909, 101278, 100944, 13, 109946, 103824, 103077, 102282, 97635, 101419, 103321, 100788, 13845, 102419, 74686, 70320, 48842, 95676, 103077, 102282, 13, 109259, 7933, 3282, 48842, 104551, 107193, 100788, 114515, 108840, 106003, 101194, 100788, 114515, 31074, 48842, 102746, 13, 21402, 70343, 108840, 101580, 106038, 100403, 66626, 105081, 106038, 320, 376, 11, 523, 11, 308, 11, 326, 33674, 101419, 100409, 114515, 31074, 48842, 114515, 102746, 13, 15754, 102419, 22546, 27160, 29876, 100937, 95676, 104029, 983, 103077, 102282, 101194, 100557, 13845, 102419, 101419, 13, 112367, 124899, 101798, 7826, 71780, 95016, 320, 10680, 16, 8, 60835, 90154, 409, 57711, 108041, 103824, 114515, 108840, 100724, 108342, 122213, 11, 423, 2538, 34765, 1556, 309, 275, 4042, 20023, 372, 320, 11242, 17, 12, 11242, 18, 8, 60835, 38077, 393, 19388, 12249, 409, 426, 978, 71, 8511, 108041, 103824, 114515, 31074, 100724, 108342, 122213, 13, 85237, 103763, 93530, 25826, 60835, 104620, 119678, 114511, 101798, 31074, 100683, 102746, 102173, 48842, 100705, 107951, 33767, 16848, 26224, 101105, 101359, 113354, 102673, 104628, 100852, 103091, 113458, 87239, 13845, 102419, 103888, 105006, 13, 107386, 102536, 11, 104403, 29876, 101050, 100743, 102176, 102811, 103456, 13845, 102419, 103888, 105006, 39015, 104628, 102975, 96095, 382, 21567, 57073, 106038, 271, 21567, 100984, 106038, 198, 35, 110303, 102224, 39015, 112499, 79328, 103731, 106038, 101036, 13845, 102419, 103888, 105006, 382, 108178, 112499, 100790, 11, 79328, 103731, 106038, 102259, 11, 104807, 48842, 103731, 106038, 106335, 39015, 103731, 106038, 54137, 125628, 106772, 11, 101717, 86952, 39015, 103731, 106038, 125628, 106772, 13, 10044, 224, 48842, 29005, 39015, 105765, 116200, 60835, 264, 48842, 220, 39815, 382, 41325, 102493, 101227, 11, 103824, 101798, 101717, 29876, 102165, 102634, 103731, 106038, 112559, 48842, 103731, 106038, 13081 ] ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

14.944781

[ [ 382, 3438, 51583, 106038, 198, 33, 101170, 104837, 102224, 101291, 118112, 79328, 105081, 106038, 70186, 103824, 101798, 48842, 101359, 105717, 627, 47215, 538, 28, 49537, 15729, 1742, 49406, 9841, 28778, 198, 91, 7058, 0, 17273, 28, 17, 7511, 0, 386, 100787, 198, 0, 921, 40492, 111163, 198, 0, 3489, 101010, 326, 26856, 94, 72, 198, 0, 650, 22980, 76, 198, 0, 650, 22980, 76, 107967, 198, 0, 109259, 115816, 198, 91, 7058, 0, 17273, 28, 17, 91, 386, 117225, 198, 91, 296, 720, 91, 308, 720, 7511, 91, 20921, 720, 91, 7933, 9809, 876, 720, 7511, 91, 7058, 0, 52388, 28, 18, 91, 350, 101024, 198, 0, 102127, 198, 91, 281, 720, 91, 259, 720, 91, 490, 720, 91, 523, 720, 91, 272, 14441, 34994, 720, 7511, 91, 7058, 0, 104551, 115816, 102061, 198, 91, 293, 720, 91, 15199, 720, 7511, 7511, 7511, 7511, 91, 7058, 0, 114696, 113773, 198, 7511, 91, 270, 720, 7511, 7511, 91, 52388, 28, 17, 91, 24040, 720, 7511, 91, 7058, 0, 52388, 28, 17, 91, 1630, 17099, 198, 0, 105430, 104551, 198, 91, 1343, 720, 91, 865, 720, 91, 274, 720, 7511, 91, 305, 720, 91, 7058, 0, 104832, 104551, 198, 91, 348, 720, 91, 294, 720, 91, 52388, 28, 17, 91, 436, 720, 91, 13845, 720, 91, 342, 14, 876, 720, 7511, 91, 7058, 0, 17273, 28, 17, 91, 23126, 104730, 116336, 198, 91, 577, 20886, 720, 91, 326, 720, 91, 379, 16843, 720, 7511, 7511, 71369, 16, 66626, 105081, 106038, 99227, 29876, 100403, 101359, 105717, 320, 17134, 19470, 293, 11, 281, 8, 102241, 100403, 66626, 29876, 100937, 101194, 100403, 101359, 105717, 100558, 597, 11, 29876, 100540, 106329, 106371, 101743, 272, 11, 597, 18137, 2874, 627, 41325, 102493, 101227, 11, 79328, 105081, 106038, 29876, 104115, 102951, 9964, 105437, 101036, 103077, 102282, 13, 117272, 101419, 103147, 100690, 105081, 106038, 104807, 79328, 105956, 114515, 101291, 118112, 105114, 107844, 101194, 70186, 103900, 102282, 110204, 103824, 101798, 382, 27159, 71, 74686, 70320, 4815, 46451, 27160, 983, 101798, 39015, 119271, 110204, 104551, 74686, 70320, 11, 105329, 106038, 103839, 60835, 103824, 101798, 106019, 51296, 220, 16, 104551, 74686, 70320, 102176, 100744, 13, 3234, 79328, 104551, 74686, 70320, 60835, 103824, 101798, 70186, 111244, 102975, 110204, 106329, 101925, 101743, 79328, 112917, 104551, 101717, 105475, 39015, 112917, 101485, 100403, 66626, 100524, 118812, 105475, 79328, 104551, 74686, 70320, 60835, 103824, 101798, 39015, 79328, 330, 67, 101551, 3343, 108430, 100930, 101419, 103147, 100690, 66626, 101406, 104551, 74686, 70320, 48842, 74686, 70320, 102412, 60835, 104551, 74686, 70320, 104807, 79328, 102282, 119271, 60835, 103824, 101798, 11, 104551, 74686, 70320, 29876, 105197, 105475, 108024, 103321, 54137, 101239, 104485, 100409, 100769, 102811, 101806, 100770, 108024, 103321, 70186, 105329, 102282, 119271, 60835, 103824, 101798, 13, 118542, 119271, 103824, 101798, 108840, 102106, 29876, 220, 21, 104551, 74686, 70320, 11, 102282, 119271, 103824, 101798, 102746, 102106, 48842, 31074, 102106, 29876, 220, 20, 104551, 74686, 70320, 13, 109259, 74686, 70320, 60835, 103824, 101798, 102673, 104628, 104140, 220, 21, 104551, 25, 122696, 320, 66, 101240, 105475, 39015, 104551, 54137, 112917, 656, 111244, 102975, 110204, 54137, 29876, 112917, 104551, 2665, 104551, 74686, 70320, 97635, 705, 105936, 11, 305, 101236, 11, 107193, 11, 7933, 3282, 11, 115116, 102241, 86952, 110988, 79328, 101050, 100743, 105688, 100540, 100690, 100769, 108041, 101359, 101580, 106038, 70186, 102282, 119271, 102176, 60835, 103824, 101798, 100724, 101359, 101580, 106038, 102673, 104628, 2665, 220, 21, 104551, 74686, 70320, 97635, 382, 107237, 106038, 103839, 51296, 348, 70711, 63672, 104551, 11, 110939, 39015, 79328, 348, 70711, 101325, 113209, 101743, 220, 16, 70186, 220, 18, 105081, 106038, 107690, 220, 320, 331, 57073, 102975, 110204, 107878, 86952, 101743, 111244, 105289, 330, 66, 1, 101535, 111244, 105289, 20921, 37028, 100827, 330, 331, 4063, 220, 320, 331, 57073, 102975, 110204, 107878, 86952, 101743, 111244, 105289, 330, 83, 4063, 220, 320, 331, 57073, 102975, 110204, 107878, 86952, 101743, 111244, 105289, 330, 79, 909, 99227, 29876, 100540, 51296, 104551, 105936, 101535, 104551, 115116, 13, 220, 18, 106038, 113303, 100790, 80226, 100724, 2665, 79328, 106038, 103839, 51296, 348, 70711, 63672, 104551, 99227, 29876, 100540, 51296, 79328, 104551, 74686, 70320, 29876, 74686, 70320, 102412, 116200, 48842, 105314, 382, 108178, 270, 39815, 2211, 79328, 104551, 74686, 70320, 101909, 65161, 220, 17, 108442, 25, 104551, 101743, 104140, 29876, 122696, 48842, 305, 101236, 11, 104551, 490, 101024, 104140, 79328, 104551, 101717, 86952, 13, 105322, 79328, 100540, 270, 39815, 106607, 100558, 118018, 103704, 48842, 120593, 126941, 11, 29876, 100540, 29876, 100930, 107575, 100827, 104551, 74686, 70320, 101743, 490, 101024, 104807, 79328, 103824, 70186, 220, 16, 106821, 270, 39815, 382, 21567, 57073, 101135, 4815, 46451, 27160, 983, 101798, 39015, 220, 16, 119271, 110204, 102410, 103190, 13, 104305, 100809, 102165, 110204, 101135, 100540, 100852, 102171, 105334, 93530, 74625, 102165, 102634, 126613, 95676, 48842, 101359, 117959, 112192, 490, 53985, 101781, 95676, 70186, 106821, 13, 1183, 53985, 101781, 95676, 93530, 100610, 101071, 70186, 103824, 101798, 39015, 102171, 110204, 482, 101740, 110204, 482, 259, 40492, 110204, 320, 50, 11417, 570, 107386, 102536, 11, 490, 53985, 101781, 70186, 106821, 29876, 100540, 70186, 100403, 66626, 101317, 100827, 117959, 112192, 101036, 113229, 119271, 110204, 107132, 114696, 102171, 101218, 11, 102481, 101582, 100920, 220, 16, 106821, 29876, 100540, 101036, 490, 53985, 101781, 114215, 110204, 482, 108664, 110204, 482, 119957, 110204, 320, 3204, 53, 3677, 53, 37028, 102984, 79328, 95676, 117959, 112192, 101036, 103421, 101781, 11, 95676, 51296, 102339, 100944, 112278, 102259, 95676, 51296, 102339, 105081, 112278, 33254, 107166, 40439, 104485, 2665, 95676, 51296, 102339, 100944, 11, 104256, 101781, 100558, 99996, 95676, 112278, 102259, 101624, 95676, 112278, 33254, 107166, 40439, 104485, 2665, 99996, 95676, 13, 107386, 102536, 70186, 100403, 66626, 101317, 100827, 11, 107166, 110204, 320, 65941, 104140, 95676, 51296, 102339, 105081, 48842, 101624, 95676, 8, 100770, 112278, 102259, 99996, 95676, 382, 46451, 27160, 983, 101798, 101717, 29876, 102165, 102634, 102724, 95676, 101121, 865, 103533, 113458, 100790, 79328, 95676, 110204, 99227, 100809, 102165, 103254, 101975, 48842, 102165, 102634, 99996, 95676, 102410, 101740, 382, 125330, 104029, 983, 4815, 125330, 104029, 983, 103824, 101798, 29876, 220, 17, 101625, 114021, 100944, 25, 95676, 78474, 70711, 101798, 48842, 95676, 296, 44737, 77, 13, 114031, 15473, 101717, 29876, 100557, 95676, 124865, 102171, 983, 39015, 101325, 101997, 60835, 100930, 101325, 100827, 79328, 105334, 106085, 78474, 70711, 101798, 48842, 109621, 116611, 382, 125330, 78474, 70711, 101798, 271, 125330, 78474, 70711, 101798, 39015, 100557, 95676, 101616, 100852, 109387, 101194, 70186, 103824, 101798, 11, 106329, 101925, 100557, 100930, 102367, 11, 100852, 105103, 11, 24040, 100986, 113632, 101126, 101764, 101071, 70186, 107773, 103978, 305, 100948, 101120, 13, 3234, 29876, 100930, 101959, 114762, 95676, 117746, 101194, 100409, 79328, 119271, 110204, 108442, 350, 54122, 71626, 100986, 101485, 100937, 95676, 78474, 70711, 101798, 48842, 79328, 95676, 104256, 102329, 70186, 79328, 103824, 97635, 29876, 100930, 108024, 103321, 101071, 100743, 100690, 110204, 106038, 48842, 110204, 104485, 382, 1305, 100494, 220, 5162, 15, 11, 100403, 66626, 95676, 78474, 70711, 101798, 102143, 80768, 103586, 105197, 93530, 103799, 2665, 100524, 70186, 112214, 105536, 104800, 101724, 101535, 80768, 110672, 100947, 7643, 934, 110042, 108904, 270, 100951, 104470, 74686, 13, 118338, 114515, 108840, 29876, 79328, 105197, 100558, 330, 49, 51583, 83, 498, 330, 51, 103930, 498, 330, 34, 95413, 498, 330, 45919, 498, 330, 38, 100986, 498, 1131, 118338, 114515, 31074, 29876, 79328, 105197, 100558, 330, 41325, 93402, 498, 1131, 117272, 101580, 102454, 101724, 102984, 103090, 100725, 101359, 103586, 105197, 93530, 103799, 103775, 118243, 382, 125330, 473, 11644, 101798, 4815, 50, 62131, 101959, 114762, 104807, 103824, 101798, 48842, 103824, 473, 11644, 104470, 100906, 96094, 100893, 473, 11644, 60835, 102746, 102173, 865, 87828, 115678, 103065, 104164, 101798, 31074, 13, 3489, 1995, 101291, 101959, 114762, 80226, 105470, 87239, 103824, 101798, 100403, 112937, 101406, 95676, 110204, 60835, 103824, 473, 11644, 13, 110965, 72, 107240, 100906, 11, 100852, 105103, 97635, 106371, 15473, 326, 101498, 259, 101498, 11, 127570, 436, 102696, 101194, 102171, 105334, 93530, 74625, 102761, 98710, 110204, 74625, 100930, 101959, 114762, 104807, 100524, 101798, 48842, 100524, 473, 11644, 11, 101700, 101485, 220, 16, 105536, 95676, 29876, 105493, 112240, 473, 11644, 106607, 100920, 80226, 11640, 6496, 124622, 100409, 79328, 95676, 78474, 70711, 101798, 13, 51427, 71348, 107773, 118018, 11, 103824, 101798, 93205, 29876, 100930, 101959, 101627, 79328, 95676, 110204, 473, 11644, 100403, 101359, 29876, 102165, 102634, 74625, 102761, 96182, 348, 79920, 13, 104305, 95676, 110204, 112240, 473, 11644, 97635, 102171, 105334, 113354, 101036, 110204, 106038, 107773, 118018, 9964, 40492, 102711, 103731, 113303, 110204, 106038, 103824, 101798, 105475, 39015, 106038, 473, 11644, 4235, 36644, 26298, 83, 13, 108856, 105470, 87239, 103824, 101798, 11, 103381, 106811, 100769, 104115, 102951, 100690, 102214, 110204, 106038, 11, 100403, 66626, 95676, 473, 11644, 101798, 104115, 102951, 100970, 110204, 104485, 382, 125330, 473, 11644, 20198, 100720, 115678, 220, 16, 101338, 70186, 106897, 95676, 104029, 983, 103824, 101798, 11, 101806, 100852, 104160, 100403, 66626, 109617, 104164, 60835, 107773, 103978, 103254, 101975, 382, 125330, 29876, 105493, 112240, 119466, 4235, 33895, 84, 4815, 42, 34550, 95676, 96094, 101798, 31074, 103270, 65161, 102962, 103077, 60835, 108361, 11, 103824, 108361, 80226, 29876, 102620, 105579, 100725, 103824, 101798, 48842, 79328, 95676, 110204, 112240, 108361, 270, 87828, 63672, 87239, 103824, 101798, 13, 117272, 102620, 105579, 97635, 39015, 656, 103824, 108361, 29876, 100886, 100610, 70186, 79328, 103353, 101764, 11, 106908, 117103, 60835, 106450, 100959, 48842, 70186, 119613, 113480, 100788, 100893, 101317, 101004, 100558, 70186, 79328, 101278, 96182, 102911, 101419, 13, 126790, 105579, 97635, 112517, 101036, 100930, 101616, 100852, 60835, 79328, 95676, 112240, 108361, 70186, 79328, 109617, 104164, 101419, 103321, 103519, 103147, 39015, 70186, 102637, 100705, 105114, 103981, 382, 108178, 101227, 103475, 125948, 105931, 101798, 31074, 11, 114515, 108840, 101798, 31074, 107892, 102620, 105579, 60835, 104540, 1630, 9769, 13, 3234, 100744, 11, 100403, 66626, 95676, 110204, 112240, 115668, 29876, 101309, 104141, 3930, 63672, 87239, 103824, 101798, 13, 111778, 101227, 11, 101708, 100409, 100930, 101959, 114762, 11, 101975, 63672, 111202, 106513, 101194, 100409, 101582, 102790, 11, 70186, 103824, 101798, 101004, 101616, 100852, 79328, 95676, 110204, 29876, 105493, 112240, 95676, 103824, 104491, 382, 80859, 105145, 105976, 11, 96094, 105470, 87239, 103824, 101798, 11, 100557, 95676, 97635, 80226, 101798, 116361, 100690, 102214, 106038, 113354, 320, 339, 39930, 104551, 74686, 70320, 11, 104115, 102951, 106038, 101535, 103775, 293, 119531, 106038, 103839, 570, 109946, 95676, 102410, 106038, 103839, 320, 6292, 100784, 102410, 106038, 116361, 705, 113039, 296, 44737, 77, 74625, 98710, 110204, 270, 87828, 63672, 87239, 103824, 101798, 13, 105322, 96094, 100744, 11, 100557, 95676, 29876, 220, 17, 106038, 103839, 103270, 102123, 11, 113039, 296, 44737, 77, 93530, 74625, 96182, 348, 79920, 103610, 101717, 112917, 116404, 109621, 116611, 13, 108430, 100557, 95676, 113039, 296, 44737, 77, 103731, 105765, 101485, 101700, 102620, 105579, 70186, 101359, 101580, 106038, 382, 125330, 29876, 105493, 112240, 103824, 101724, 114227, 119293, 66626, 720, 43, 6496, 220, 16, 100959, 105206, 105936, 114227, 100409, 220, 4370, 101724, 114227, 80226, 63129, 101627, 11, 103824, 101798, 109908, 93530, 101959, 101627, 220, 16, 101338, 103824, 101724, 114227, 119293, 66626, 11, 104140, 95676, 93530, 100610, 48842, 105197, 107000, 60835, 100524, 18137, 103077, 102367, 48842, 79328, 95676, 97635, 29876, 100540, 29876, 348, 70711, 330, 17247, 101798, 3343, 3489, 1995, 101291, 97635, 106371, 15473, 70186, 105283, 100886, 13, 423, 103416, 101036, 105197, 100524, 3529, 29024, 865, 103533, 106660, 106697, 100790, 102911, 106333, 48842, 79328, 103077, 99996, 100790, 79328, 101764, 100939, 101091, 100944, 11, 101806, 9637, 29876, 100540, 101909, 101278, 79328, 101359, 63672, 103824, 101724, 114227, 119293, 66626, 100558, 33254, 512, 112367, 103824, 102811, 60835, 115816, 105530, 79328, 101724, 114227, 95676, 117241, 106934, 103270, 15473, 11, 80226, 110720, 122342, 109387, 101194, 101708, 100524, 112698, 48842, 14, 6292, 100784, 102962, 105956, 106422, 102061, 108625, 43912, 11, 100558, 100524, 386, 78969, 11, 350, 54122, 11, 452, 89871, 11, 110420, 29775, 101105, 100501, 105197, 100524, 101105, 101036, 95676, 473, 11644, 101798, 100558, 79328, 100501, 330, 22646, 70320, 498, 330, 41325, 105699, 498, 330, 34, 103598, 498, 330, 41325, 109168, 498, 40868, 101717, 103077, 99996, 101105, 101036, 107878, 106038, 100558, 330, 45, 107485, 498, 330, 82478, 98616, 14, 121452, 98616, 498, 330, 47, 101024, 498, 1131, 51427, 100787, 96094, 100930, 103115, 105438, 100409, 100524, 112698, 103090, 100725, 100557, 105197, 124865, 100827, 100558, 41875, 426, 4381, 320, 83, 28119, 103824, 110420, 39015, 666, 74036, 426, 4381, 11, 104485, 39015, 41875, 5476, 4390, 112367, 103824, 473, 28703, 24976, 101105, 101036, 107878, 106038, 100920, 54137, 101036, 95676, 473, 11644, 101798, 11, 116839, 108116, 103824, 473, 28703, 24976, 29876, 100809, 102165, 105798, 101194, 100409, 103824, 107559, 13, 111772, 100533, 100558, 79328, 100501, 650, 52649, 320, 53, 86475, 11, 650, 526, 705, 15754, 52649, 320, 35, 86475, 11, 25482, 705, 1131, 18137, 79328, 103077, 99996, 100558, 445, 100988, 356, 2192, 320, 77, 876, 113184 ] ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

12.048941

[ [ 111244, 39015, 921, 85400, 356, 100647, 11, 95676, 473, 11644, 101798, 39015, 445, 3496, 452, 26279, 118523, 104773, 705, 16233, 16056, 320, 53379, 393, 22490, 11, 104485, 111244, 39015, 426, 109285, 356, 17099, 705, 1131, 110178, 100827, 101278, 114571, 39015, 100501, 105197, 125953, 386, 109168, 100920, 102143, 95676, 473, 11644, 101798, 100558, 120164, 111385, 328, 59606, 627, 112367, 103824, 102811, 60835, 79328, 101724, 114227, 100788, 109316, 114425, 11, 31074, 102106, 29775, 101105, 101036, 107878, 106038, 39015, 100944, 11, 100558, 51427, 62202, 74, 445, 62202, 74, 11, 16852, 24976, 393, 101024, 29775, 101535, 103436, 106038, 100558, 328, 103400, 1183, 59697, 11, 121659, 121027, 29775, 356, 1995, 103147, 29876, 100769, 102790, 101774, 112976, 102257, 80226, 330, 42, 21538, 102061, 1, 103077, 99996, 103586, 105197, 100939, 77, 112976, 102257, 11, 31644, 100533, 100683, 103254, 393, 77394, 816, 29876, 51427, 103290, 11547, 91163, 98710, 426, 77394, 816, 382, 107237, 111244, 48842, 348, 70711, 330, 17247, 101798, 1, 105717, 101036, 103628, 103090, 70186, 120096, 100743, 220, 8273, 124731, 330, 53, 41038, 105197, 107000, 54137, 101058, 103824, 101798, 498, 70186, 100744, 79328, 111244, 105289, 435, 11, 622, 11, 468, 11, 1901, 29876, 100540, 113346, 116653, 100886, 100610, 382, 125330, 124865, 102171, 983, 720, 125330, 124865, 102171, 983, 39015, 100557, 95676, 101700, 65161, 95676, 79328, 105334, 106085, 29876, 105493, 112240, 101419, 103321, 100558, 104807, 105334, 106085, 78474, 70711, 101798, 48842, 473, 11644, 101798, 11, 104807, 105334, 106085, 78474, 70711, 101798, 48842, 105334, 106085, 119466, 12, 33895, 84, 13, 356, 89871, 100409, 100930, 101580, 102454, 60835, 103824, 101798, 11, 79328, 95676, 124865, 102171, 983, 80226, 96095, 102502, 11, 107827, 220, 16, 40586, 109162, 70186, 100769, 106371, 106059, 79328, 24040, 100986, 113632, 93205, 101194, 70186, 103254, 101975, 382, 53, 2483, 100533, 512, 348, 100787, 116361, 1754, 1389, 330, 85, 100787, 1, 39015, 78474, 70711, 101798, 11, 330, 6292, 1995, 1, 39015, 473, 11644, 20198, 100720, 627, 108387, 76, 102442, 1389, 330, 95465, 1, 39015, 95676, 103824, 106756, 8840, 76, 11, 330, 74, 27160, 1, 39015, 473, 11644, 20198, 100720, 627, 100893, 122178, 1389, 330, 17134, 6496, 1, 39015, 78474, 70711, 101798, 11, 330, 65, 59697, 1, 39015, 95676, 103824, 108361, 9120, 593, 627, 1847, 102711, 1389, 330, 5924, 1, 39015, 103824, 104491, 11, 330, 339, 43604, 1, 39015, 473, 11644, 20198, 100720, 382, 1163, 57073, 105717, 271, 747, 28119, 4803, 52680, 53099, 1129, 10176, 34466, 2726, 26583, 17146, 40898, 16, 4, 7209, 4, 1846, 79, 530, 258, 58255, 646, 23635, 2325, 3978, 44519, 65921, 91, 17134, 86242, 48676, 127806, 102811, 103824, 101798, 31074, 1, 320, 121967, 17857, 238, 159, 245, 224, 104087, 59563, 705, 103381, 100790, 105717, 101743, 921, 57073, 102173, 110204, 320, 331, 57073, 20023, 71, 705, 103381, 104837, 105717, 101743, 111244, 452, 95465, 320, 70, 101765, 107747, 8, 100409, 111244, 473, 11644, 271, 110798, 107501, 105283, 100886, 101580, 102454, 11, 103824, 101798, 29876, 220, 18, 105765, 104047, 101781, 80768, 105717, 39015, 111244, 473, 11644, 11, 111244, 452, 95465, 320, 67, 103416, 100790, 111244, 473, 11644, 8, 48842, 111244, 102173, 110204, 320, 331, 57073, 20023, 71, 3677, 1163, 57073, 473, 11644, 48842, 111244, 452, 95465, 39015, 103353, 101781, 100944, 60835, 101798, 31074, 102259, 101582, 111639, 220, 508, 13, 350, 52458, 100970, 79328, 101779, 80579, 100886, 100705, 48842, 103353, 100705, 106607, 104208, 101798, 31074, 103467, 105717, 101743, 111244, 473, 11644, 11, 111244, 452, 95465, 100558, 34382, 93699, 294, 103898, 109701, 11, 473, 100954, 108818, 106312, 11, 106934, 17030, 9769, 102724, 104820, 11, 120476, 50986, 101317, 259, 40492, 104551, 11, 104620, 101798, 100886, 104047, 101887, 106831, 39325, 1163, 57073, 102173, 110204, 39015, 111244, 20023, 71, 113458, 100790, 112499, 111244, 105289, 48842, 106038, 101740, 60835, 103824, 426, 71780, 125070, 121659, 101702, 115178, 100409, 103824, 101798, 11, 656, 79328, 100893, 104208, 104300, 423, 64875, 122809, 426, 71780, 125070, 121659, 103933, 103559, 87239, 100906, 101582, 111639, 220, 1114, 105757, 656, 104300, 106312, 90154, 409, 57711, 100524, 7671, 21538, 263, 104628, 100743, 13, 110992, 39015, 100524, 2665, 304, 122216, 423, 2538, 34765, 9489, 309, 49086, 372, 445, 355, 13145, 372, 1880, 20023, 372, 100631, 220, 10680, 16, 13, 27560, 89039, 101582, 111639, 220, 972, 100683, 51427, 52649, 105322, 106371, 15473, 104053, 107600, 101226, 111244, 102173, 110204, 104837, 100930, 101309, 108233, 60835, 117726, 104495, 38077, 393, 19388, 2933, 409, 14954, 8511, 320, 68412, 101717, 102613, 101833, 104837, 105197, 426, 1995, 51427, 64, 445, 101033, 705, 95676, 124899, 29876, 105197, 423, 2538, 34765, 1556, 309, 780, 78, 8288, 30190, 779, 50986, 934, 121483, 100631, 220, 11242, 17, 4235, 11242, 18, 102241, 93205, 99227, 39015, 101764, 105717, 104359, 13, 42116, 100744, 11, 95676, 124899, 60835, 15490, 14685, 51296, 105197, 31074, 101798, 4235, 35, 86475, 124254, 350, 62131, 101740, 320, 83, 103416, 20023, 71, 108024, 100409, 101781, 64, 122216, 60835, 426, 1995, 51427, 64, 445, 101033, 8, 101616, 101764, 100631, 220, 10750, 23, 100683, 8409, 1141, 461, 11, 119466, 111647, 382, 1163, 57073, 102173, 110204, 95676, 106563, 15473, 107773, 117111, 29876, 101194, 220, 1049, 100631, 101157, 65161, 48842, 101580, 102454, 11, 102241, 104403, 104602, 109908, 103436, 80768, 39015, 103353, 101781, 100944, 100788, 101798, 31074, 102481, 111244, 473, 11644, 48842, 111244, 452, 95465, 103610, 39015, 105765, 103353, 101781, 109908, 103436, 60835, 103824, 101798, 13, 2405, 76150, 100725, 107690, 101582, 111639, 220, 777, 11, 87239, 101227, 103475, 108361, 102962, 11, 100944, 102655, 102962, 103077, 101677, 105354, 111244, 102173, 110204, 48842, 106607, 274, 6792, 88, 104115, 101582, 111244, 473, 11644, 48842, 111244, 452, 95465, 80768, 103824, 101798, 101239, 103353, 101781, 20023, 71, 100409, 103824, 108361, 11, 104470, 100906, 95676, 31074, 108039, 105757, 101833, 108840, 108039, 48842, 102746, 108039, 80768, 104487, 109267, 109908, 103436, 103824, 108361, 48842, 103353, 102061, 108361, 13, 356, 101240, 79328, 100893, 109358, 101359, 101798, 31074, 220, 114884, 105354, 100769, 104208, 293, 1995, 102165, 111244, 20023, 71, 100558, 102282, 106352, 80768, 104003, 101724, 102984, 11, 523, 101299, 101724, 105256, 13, 356, 76150, 101359, 104300, 107992, 100631, 220, 7028, 21, 60835, 125953, 107842, 110420, 101004, 103253, 104140, 107413, 101291, 113480, 111244, 102173, 110204, 13, 107386, 103453, 70186, 112252, 107240, 97635, 11, 100930, 293, 103400, 326, 95413, 60835, 122529, 101724, 108361, 107009, 100524, 101798, 54137, 64578, 74686, 100705, 107114, 104602, 11, 101485, 115816, 105530, 100524, 101798, 112252, 107240, 97635, 103270, 101485, 296, 15273, 111244, 100409, 100970, 111244, 473, 11644, 11, 111244, 452, 95465, 48842, 111244, 102173, 110204, 13, 17030, 352, 33254, 96094, 101798, 31074, 111229, 102171, 116657, 107575, 103190, 102975, 11, 105186, 105128, 101580, 100801, 106934, 101724, 100705, 101615, 100409, 104495, 102673, 105314, 113167, 101982, 102961, 120879, 296, 15273, 111244, 101743, 101359, 112010, 104504, 113480, 111244, 102173, 110204, 2665, 100524, 101724, 13, 921, 57073, 473, 11644, 48842, 111244, 452, 95465, 103610, 64578, 100403, 101406, 100524, 101798, 100886, 100610, 5609, 5609, 101708, 111244, 102173, 110204, 11, 102241, 100725, 100631, 220, 6280, 15, 11, 119613, 113480, 111244, 473, 11644, 452, 95465, 100947, 101278, 15473, 111437, 107413, 101291, 104300, 107992, 60835, 101798, 31074, 111229, 102171, 116657, 107575, 102481, 100447, 109908, 103436, 100788, 101798, 31074, 54137, 101717, 100937, 382, 124412, 101798, 31074, 100852, 103091, 11, 100524, 101724, 102171, 105334, 100886, 100610, 111244, 102173, 110204, 39015, 100944, 11, 101717, 111244, 473, 11644, 48842, 111244, 452, 95465, 102127, 102143, 70186, 79328, 102425, 100801, 101609, 100809, 101833, 103353, 102061, 104208, 102634, 100558, 105717, 106831, 101135, 11, 106821, 101702, 11, 103765, 105744, 105283, 100886, 48842, 103353, 100705, 106607, 11, 48842, 64578, 119613, 113480, 70186, 103847, 104710, 473, 11644, 452, 95465, 121070, 102724, 100705, 101004, 100558, 100683, 79328, 101744, 101774, 106284, 490, 100988, 113480, 100705, 111244, 473, 11644, 48842, 111244, 452, 95465, 64578, 100886, 100610, 70186, 103824, 101798, 13, 1183, 100986, 121807, 86952, 39015, 107072, 101239, 100524, 112698, 101764, 103077, 100788, 108625, 473, 103533, 320, 1305, 2234, 102173, 705, 656, 54137, 100947, 102620, 105579, 104458, 100944, 96182, 104115, 101582, 111244, 473, 11644, 48842, 111244, 452, 95465, 101743, 111244, 102173, 110204, 60835, 122529, 101724, 108361, 320, 85, 89871, 103033, 100501, 103978, 103270, 65161, 109278, 125379, 104620, 109259, 101036, 103078, 118259, 108361, 12, 27159, 71, 104047, 100631, 220, 9367, 22, 11, 101485, 100501, 54137, 100947, 122529, 101724, 108361, 109701, 105354, 705, 100557, 101582, 102165, 390, 523, 116906, 100788, 102224, 54137, 100947, 13845, 11644, 107240, 111301, 74686, 100705, 48842, 54137, 100947, 296, 15273, 111244, 13, 109796, 112698, 101764, 103077, 100788, 108625, 473, 103533, 103610, 102082, 111104, 64578, 100930, 109908, 103436, 60835, 111244, 473, 11644, 48842, 111244, 452, 95465, 70186, 107072, 101239, 48842, 103610, 102143, 100724, 103353, 101781, 100944, 2665, 103824, 101798, 100788, 101227, 100852, 102724, 108024, 100558, 100524, 101798, 865, 93458, 11, 104115, 102481, 102143, 111244, 20023, 71, 100558, 100524, 101798, 100788, 101798, 31074, 100852, 100683, 382, 13347, 71348, 101135, 100959, 116657, 107575, 103254, 101975, 102171, 104485, 101798, 31074, 220, 679, 18, 11, 100683, 120892, 358, 106104, 220, 20, 386, 93804, 220, 18, 11, 107878, 103824, 101798, 39015, 119271, 110204, 102975, 96095, 60835, 101798, 31074, 13, 109306, 29876, 103938, 103475, 103353, 101764, 102176, 100788, 101386, 100893, 100959, 101050, 100743, 13845, 102419, 104628, 48842, 102975, 101781, 3573, 331, 57073, 105717, 102975, 96095, 1, 101535, 103353, 101781, 100944, 102004, 8, 60835, 103824, 101798, 13, 121498, 102610, 79328, 103353, 101764, 101091, 100944, 103824, 101798, 100788, 101798, 31074, 64578, 105717, 101743, 111244, 102173, 110204, 101036, 330, 2232, 88, 100743, 100690, 100944, 107092, 103824, 101798, 48842, 100690, 103981, 110204, 103824, 101798, 1, 104752, 100610, 2665, 79328, 96182, 104300, 102637, 11, 102911, 48842, 103353, 101764, 60835, 104710, 104300, 107992, 11, 122087, 100683, 120096, 100743, 60835, 102106, 113716, 107992, 66626, 220, 8273, 124731, 101120, 220, 20, 101420, 220, 18, 100631, 220, 3753, 19, 656, 100557, 100524, 114789, 105579, 104300, 107992, 100744, 33254, 97635, 15473, 100724, 100769, 70186, 105329, 109617, 104164, 103254, 101975, 103628, 101833, 100769, 104628, 102061, 100944, 107092, 103824, 101798, 13, 109306, 29876, 103704, 104097, 102176, 272, 103685, 100524, 101798, 105717, 103824, 101798, 100852, 102724, 101743, 111244, 473, 11644, 452, 95465, 382, 1016, 19470, 101135, 4815, 34, 89871, 100409, 111244, 473, 11644, 11, 735, 3444, 48842, 41875, 360, 11, 29876, 100524, 330, 88, 102069, 104672, 1, 106831, 101135, 107514, 111244, 105717, 103824, 101798, 102123, 65161, 100403, 101625, 107551, 103762, 103981, 382, 1016, 19470, 101135, 111244, 101798, 9120, 100906, 39015, 106831, 101135, 111244, 452, 95465, 48842, 111244, 473, 11644, 13, 42116, 97635, 111244, 102173, 110204, 103270, 101485, 109908, 103436, 101194, 70186, 96094, 105920, 102025, 48842, 102915, 104672, 4353, 78, 111244, 70186, 100893, 103610, 101717, 11, 100524, 105679, 111244, 80226, 111901, 865, 101681, 106831, 101135, 111244, 102173, 110204, 13, 356, 101240, 106831, 101135, 111244, 473, 11644, 48842, 111244, 452, 95465, 100852, 103091, 103610, 102082, 111104, 5609, 5609, 382, 119781, 342, 11399, 103824, 101798, 48842, 103115, 101959, 103824, 101798, 74625, 107303, 4815, 123436, 101708, 39015, 111244, 20023, 71, 11, 102507, 220, 1313, 104047, 101781, 54137, 112917, 29876, 70186, 112499, 111244, 105289, 103824, 104491, 101105, 111244, 102173, 110204, 101717, 110851, 101406, 104047, 101781, 29876, 112917, 11, 103253, 104140, 220, 22, 104047, 101781, 10044, 224, 11, 46433, 11, 51427, 11, 1717, 232, 11, 111667, 11, 220, 123097, 11, 220, 110583, 101708, 220, 1399, 111244, 103731, 106038, 320, 32, 11, 10044, 224, 11, 46433, 11, 469, 11, 1717, 232, 11, 358, 11, 507, 11, 111667, 11, 220, 123097, 11, 549, 11, 220, 110583, 11, 816, 8, 51296, 104551, 74686, 70320, 105936, 2902, 101236, 2902, 86242, 72, 84063, 3282, 5392, 106362, 13, 106134, 107072, 39015, 102022, 101624, 18137, 101926, 107181, 101621, 101058, 308, 107533, 102695, 220, 3080, 104047, 101781, 11, 125373, 101194, 220, 17, 11, 20, 103528, 112499, 111244, 105289, 60835, 103824, 104491, 320, 1627, 104047, 101781, 8, 101105, 93205, 104602, 80768, 105717, 103824, 101798, 13, 452, 28119, 80768, 29876, 100540, 105717, 103824, 101798, 100790, 102022, 101624, 48842, 101926, 107181, 1891, 100801, 101621, 29876, 101625, 342, 11399, 39015, 101338, 107967, 104426, 103427, 779, 50986, 111018, 103353, 101764, 101743, 103824, 101798, 74686, 115073, 100403, 66626, 1343, 24976, 111244, 102173, 110204, 13, 109796, 102143, 101004, 29876, 100540, 118848, 103586, 102695, 79328, 1343, 24976, 104047, 101781, 111244, 102173, 110204, 101419, 105028, 101615, 103763, 102984, 48842, 103762, 103981, 13, 104305, 101625, 342, 11399, 103824, 101798, 101419, 103321, 100770, 101050, 100743, 79328, 1343, 56094, 293, 103685, 101419, 103321, 80768, 122680, 101925, 79328, 112917, 104551, 11, 112917, 296, 100647, 48842, 112917, 66842, 66, 13, 108430, 100557, 101050, 118259, 104628, 112917, 103824, 101798, 11, 101625, 59965, 11, 101359, 342, 11399, 48842, 100557, 101338, 107967, 101419, 103321, 13, 108430, 101625, 59965, 111244, 101798, 101036, 104628, 102975, 101831, 36997, 382, 5519, 104047, 101781, 29876, 112917, 101058, 59965, 102061, 107327, 101406, 101625, 112572, 102610, 101194, 104047, 101781, 54137, 112917, 11, 100769, 25826, 20921, 102675, 31009, 101743, 103824, 101798, 29876, 112917, 100947, 103782, 102489, 220, 2031, 104047, 101781, 5640, 258, 20921, 102675, 320, 16485, 101194 ] ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

14.116238

[ [ 100403, 127483, 779, 100409, 220, 5245, 104047, 101781, 5640, 258, 20921, 102675, 60835, 103824, 104491, 8, 101485, 102259, 102224, 100524, 101798, 102127, 20921, 102675, 25826, 31009, 54137, 112917, 80768, 29876, 100540, 105717, 100937, 104089, 86636, 101194, 48842, 103839, 114148, 102881, 101194, 108116, 104089, 86636, 101743, 103824, 101798, 54137, 112917, 29876, 100540, 104991, 105744, 20921, 103598, 13, 108418, 66626, 101317, 100827, 104033, 100610, 105717, 118913, 11, 103436, 102951, 104047, 101781, 108095, 103775, 66626, 101406, 320, 73, 28, 8376, 26, 282, 28, 764, 26, 105118, 305, 70186, 330, 876, 2247, 77, 876, 909, 18137, 100540, 100852, 106003, 106038, 320, 89, 26477, 102481, 330, 52096, 1, 105717, 54137, 112917, 65161, 330, 67, 1865, 124722, 103091, 114492, 100930, 101580, 102454, 60835, 8191, 100790, 1891, 100801, 320, 17134, 19470, 17664, 27395, 11, 220, 19, 38, 54137, 102790, 103782, 86636, 101406, 8, 101708, 79328, 102329, 100610, 8775, 51, 48842, 107303, 103254, 101975, 11, 100769, 20921, 102675, 25826, 101743, 103824, 101798, 29876, 112917, 103270, 101485, 125555, 113108, 101194, 100920, 54137, 781, 100947, 103782, 102489, 104047, 101781, 382, 121316, 100409, 100769, 342, 11399, 111244, 473, 11644, 48842, 111244, 452, 95465, 101743, 103824, 101798, 11, 656, 105765, 104047, 101781, 97635, 100852, 54137, 64578, 100886, 100610, 109908, 103436, 100788, 101798, 31074, 101485, 79328, 112282, 86736, 101616, 102022, 101624, 11, 101926, 107181, 18137, 101338, 107967, 116523, 100558, 101278, 105118, 13, 120029, 101935, 105798, 102224, 80768, 105028, 101615, 2665, 105920, 102025, 103765, 105744, 100690, 105283, 100886, 18137, 103353, 100705, 106607, 101004, 100558, 103847, 104710, 473, 11644, 452, 95465, 11, 100403, 66626, 59801, 101121, 18137, 101744, 101774, 80226, 101700, 15473, 100557, 103763, 3566, 18137, 101338, 107967, 102356, 105717, 111244, 473, 11644, 48842, 111244, 452, 95465, 101743, 101625, 342, 11399, 111244, 102173, 110204, 13, 111559, 111244, 473, 11644, 656, 101239, 101625, 100409, 79328, 111244, 60835, 101625, 342, 11399, 103824, 102746, 48842, 103824, 108211, 101485, 100769, 122680, 101925, 54137, 104821, 110491, 11, 101717, 111244, 452, 95465, 656, 100403, 101406, 111244, 104403, 64578, 59965, 116361, 107114, 104602, 101485, 29876, 100540, 122680, 101925, 100947, 115009, 100790, 100403, 66626, 102022, 101624, 48842, 101926, 107181, 104837, 105765, 108387, 126788, 18137, 112917, 107193, 122700, 382, 120069, 102695, 198, 124942, 101798, 100683, 107559, 108039, 271, 1163, 6792, 104672, 271, 1016, 309, 105793, 271, 1016, 19470, 104495, 198, 46451, 27160, 983, 101798, 271, 33006, 33006, 720, 4815, 46451, 27160, 983, 104491, 271, 46521, 28119, 101325, 102507, 4815, 33006, 720, 112367, 124899, 101798, 7826, 71780, 95016, 60835, 90154, 409, 57711, 100790, 107303, 198, 112367, 124899, 103824, 101798, 865, 93458, 100790, 107303, 100893, 96182, 328, 24976, 473, 86475, 551, 112367, 124899, 101798, 8288, 15111, 71, 60835, 622, 1236, 13, 15490, 14685, 11, 112367, 124899, 101798, 426, 71780, 5034, 11, 104620, 31074, 3489, 125467, 46433, 76, 350, 62131, 119957, 198, 113716, 106312, 426, 71780, 125070, 121659, 48842, 111244, 102173, 110204, 720, 353, 36370, 124424, 106422, 426, 978, 11, 328, 54161, 103824, 101798, 48842, 101798, 100705, 100683, 79328, 106831, 110847, 102507, 101798, 31074, 320, 3438, 70711, 220, 16, 8, 1174, 121498, 220, 17, 1174, 18137, 39015, 121498, 220, 16, 11, 121498, 220, 17, 198, 4815, 720, 21567, 62552, 110204, 101909, 102898, 198, 21567, 62552, 110204, 102410, 103190, 198, 21567, 62552, 110204, 100683, 126683, 36181, 198, 21567, 62552, 110204, 100683, 9702, 1412, 689, 198, 21567, 62552, 110204, 100683, 102746, 102173, 198, 21567, 62552, 110204, 100683, 445, 100988, 198, 21567, 62552, 110204, 102171, 12, 52096, 102091, 2442, 40492, 198, 21567, 62552, 110204, 100683, 101798, 31074, 198, 21567, 62552, 110204, 100683, 328, 20243, 198, 80859, 51080, 119271, 110204, 101798, 5364, 78969, 128000, 66217, 320, 10176, 52680, 118913, 39015, 29822, 11, 105717, 118913, 117654, 39015, 507, 6266, 39015, 100403, 113134, 26518, 103065, 104164, 102746, 109316, 320, 66, 100647, 8, 110166, 100788, 114515, 109708, 127845, 107559, 108039, 13, 122809, 330, 66217, 1, 101036, 103824, 358, 299, 27610, 285, 29876, 104485, 39015, 330, 82, 24976, 105450, 1, 48842, 100744, 101004, 39015, 105197, 60835, 100403, 107501, 117650, 102143, 100724, 10837, 71, 102790, 106983, 16854, 60835, 113134, 26518, 97635, 100409, 113134, 26518, 26036, 382, 39, 76150, 105386, 107559, 108039, 29876, 103586, 105197, 100403, 111802, 390, 111085, 64578, 103586, 105197, 39015, 39608, 14689, 320, 57735, 71348, 473, 102360, 107559, 108039, 14689, 8, 80768, 126825, 99270, 490, 40492, 102869, 113134, 26518, 97635, 382, 124600, 39015, 105201, 98932, 60835, 79328, 106134, 102634, 25, 549, 398, 784, 288, 328, 13, 24668, 320, 83, 38159, 5236, 64912, 705, 432, 94094, 426, 13, 53522, 320, 83, 38159, 40838, 705, 7957, 362, 13, 12471, 2630, 320, 83, 38159, 22725, 11, 356, 4168, 1494, 14361, 6406, 705, 30411, 36627, 320, 83, 38159, 4892, 48838, 705, 12656, 67493, 3258, 320, 83, 38159, 452, 3742, 705, 12656, 20462, 24172, 728, 320, 83, 38159, 36239, 705, 26713, 480, 13, 97593, 320, 83, 38159, 40491, 18238, 41234, 570, 114031, 15473, 102224, 101717, 39015, 105201, 98932, 60835, 100893, 101580, 105676, 107132, 103824, 11355, 74876, 320, 83, 38159, 39855, 3677, 43, 100954, 100886, 720, 66217, 39015, 113134, 26518, 100906, 103451, 64578, 107361, 15473, 95676, 445, 3282, 17134, 125379, 109316, 108840, 382, 53, 100988, 101582, 111639, 220, 972, 11, 108361, 103933, 103559, 102123, 79328, 105743, 98710, 102143, 80768, 1048, 62552, 103943, 11, 116893, 102951, 62858, 102061, 320, 331, 43604, 105334, 39015, 124240, 116403, 8, 100683, 102224, 382, 53, 100988, 100631, 220, 10005, 19, 11, 108361, 48842, 104491, 103115, 104854, 100790, 103033, 106035, 102481, 117130, 119949, 102655, 104033, 70186, 100403, 104053, 104854, 100920, 33254, 97635, 64578, 105475, 39015, 125948, 105931, 108361, 100409, 100524, 3067, 112764, 13, 110780, 124254, 118259, 12366, 11, 108361, 15199, 49391, 101058, 103134, 102655, 103391, 101226, 14689, 2665, 106983, 104491, 382, 2127, 71, 93530, 74625, 350, 100984, 119271, 220, 10967, 18, 272, 103685, 100557, 100932, 101724, 106035, 100313, 117523, 105900, 102984, 70186, 650, 89871, 14689, 13, 118437, 70343, 103909, 111187, 60835, 104491, 101702, 100409, 14689, 101325, 113209, 104458, 104854, 110516, 60835, 106035, 70186, 27560, 101033, 101359, 107303, 106035, 382, 39, 20103, 108039, 101700, 15473, 105956, 109278, 125379, 109316, 108840, 87239, 100631, 220, 11256, 22, 13, 14689, 110166, 70186, 105956, 109278, 125379, 109316, 108840, 13, 650, 89871, 109278, 125379, 22319, 33254, 100744, 64578, 101700, 15473, 656, 14689, 104628, 100947, 64578, 103270, 65161, 113134, 26518, 11, 100724, 105956, 109278, 125379, 109316, 108840, 104197, 74686, 101743, 14689, 101120, 103091, 107072, 100409, 104988, 100403, 127483, 104160, 102898, 106983, 109708, 60835, 101239, 101743, 14972, 320, 42987, 11843, 72, 2427, 40492, 3677, 110798, 328, 101024, 116396, 109316, 108840, 320, 26287, 11285, 31137, 25387, 705, 14689, 29876, 100540, 64578, 103270, 65161, 113134, 26518, 96094, 100920, 101724, 66626, 29876, 101194, 220, 1399, 13, 931, 100524, 13, 114919, 220, 777, 101420, 220, 17, 100631, 220, 5245, 18, 11, 106134, 102634, 34644, 104047, 100403, 103919, 103704, 60835, 102173, 101975, 63129, 101627, 14689, 39015, 113134, 26518, 103421, 220, 1114, 13, 109082, 104097, 60835, 102173, 101975, 100690, 63129, 105900, 101120, 100944, 102004, 29876, 102655, 113134, 26518, 54137, 106371, 15473, 2665, 100725, 115986, 100631, 220, 10562, 17, 11, 96094, 29974, 64578, 101627, 87239, 11, 2665, 101485, 87239, 100631, 220, 6280, 18, 106134, 102634, 89181, 104047, 100403, 103919, 103704, 63129, 105900, 101120, 220, 16, 101420, 220, 18, 100631, 220, 5245, 18, 39015, 101120, 100944, 102004, 100920, 14689, 64578, 103270, 65161, 113134, 26518, 106035, 382, 53, 100988, 100631, 220, 10750, 20, 11, 14689, 104854, 105753, 100409, 14972, 70186, 100403, 104053, 104854, 54137, 102510, 113918, 80768, 29876, 64578, 65161, 104290, 480, 867, 986, 71, 320, 983, 54122, 103091, 39015, 73377, 705, 104053, 104854, 97635, 64578, 105475, 39015, 125948, 105931, 73377, 382, 50302, 53985, 101135, 48842, 100944, 102655, 720, 1016, 43604, 105128, 60835, 14689, 39015, 32917, 11, 105798, 103498, 102748, 113134, 26518, 13, 666, 90308, 111739, 100852, 103091, 39015, 3842, 76081, 320, 52096, 101170, 116657, 107575, 705, 100409, 47151, 270, 99310, 106066, 106312, 101609, 26518, 39015, 622, 13, 423, 13, 92368, 320, 34, 102091, 107575, 8, 48842, 17530, 24409, 10690, 320, 52096, 101170, 111229, 102171, 3677, 41325, 111709, 101226, 4815, 50, 24976, 14689, 39015, 112976, 102790, 106983, 16854, 60835, 14689, 320, 331, 100474, 103954, 39015, 100788, 126381, 100959, 117650, 110099, 101071, 87239, 100631, 220, 11128, 18, 100788, 293, 77394, 127845, 60835, 107501, 117650, 8, 48842, 100937, 107240, 112976, 102790, 106983, 127845, 60835, 113134, 26518, 64578, 103954, 100743, 101036, 102690, 79587, 60835, 17030, 100647, 104620, 108844, 320, 8376, 100485, 103367, 21193, 60835, 7008, 570, 14689, 101959, 13845, 100485, 100409, 20355, 100788, 106983, 109708, 11, 14972, 100788, 106983, 127845, 11, 22319, 100788, 106983, 119928, 11, 26036, 100788, 106983, 16854, 11, 48842, 109316, 13286, 100788, 106983, 109708, 16854, 382, 45, 6151, 41038, 84, 105956, 100788, 14689, 39015, 101239, 101743, 100947, 122178, 865, 116612, 296, 101240, 11, 114571, 100403, 105956, 101743, 1343, 103783, 100690, 106983, 119928, 127845, 11, 101120, 865, 93458, 105475, 39015, 51427, 103598, 445, 104396, 350, 89039, 350, 78454, 320, 22111, 5348, 83911, 570, 650, 89871, 103033, 100947, 122178, 865, 116612, 296, 101240, 97635, 100788, 105956, 119928, 127845, 48842, 114515, 103498, 100947, 113602, 101359, 100690, 106983, 109708, 48842, 109708, 16854, 104458, 105956, 100947, 122178, 865, 116612, 296, 101240, 102962, 117872, 114425, 43261, 876, 33495, 11, 101959, 101036, 100744, 39015, 100403, 105956, 105475, 39015, 105956, 104403, 100947, 122178, 865, 116612, 296, 101240, 102962, 117872, 114425, 43261, 876, 33495, 13, 452, 6151, 41038, 84, 101338, 60835, 14689, 39015, 105956, 103033, 110099, 11, 102241, 105956, 54137, 100947, 122178, 865, 116612, 296, 101240, 102962, 101373, 103731, 43261, 876, 33495, 29876, 120939, 48842, 123376, 20921, 100807, 20921, 9769, 382, 112438, 107501, 117650, 100809, 102869, 102962, 113134, 26518, 97635, 29876, 100540, 107976, 39015, 328, 24976, 18045, 11, 328, 24976, 41472, 2117, 11, 328, 24976, 356, 4168, 1494, 14361, 11, 48842, 328, 24976, 5444, 10789, 372, 382, 42, 21538, 101831, 720, 66217, 39015, 113134, 26518, 100809, 102869, 70186, 86736, 101616, 102022, 66842, 66, 11, 63129, 105688, 11, 48842, 100937, 102367, 101419, 11, 39015, 100403, 70186, 100557, 113134, 26518, 63129, 101378, 100944, 60835, 107559, 108039, 13, 110780, 14689, 110166, 70186, 103065, 104164, 116330, 7933, 9769, 60835, 106035, 11, 111865, 101378, 101004, 107827, 40586, 109162, 100809, 102869, 70186, 101793, 101831, 60835, 113134, 26518, 13, 114031, 15473, 11, 79328, 103077, 99996, 105283, 100886, 11, 100557, 110516, 106642, 48842, 79328, 102425, 100801, 101982, 102984, 60835, 14689, 39015, 108342, 122213, 2665, 104710, 3930, 105283, 101580, 102454, 13, 473, 68757, 220, 17, 13, 2636, 102690, 48842, 220, 2031, 13, 931, 15395, 95465, 10515, 60835, 100557, 110516, 106642, 103381, 117650, 39015, 113207, 102761, 2665, 100557, 100524, 3930, 105283, 101743, 270, 101236, 11, 100524, 104174, 59801, 48842, 100524, 74686, 293, 101548, 13, 4815, 112438, 103077, 101643, 105793, 106607, 100705, 100690, 101724, 3067, 112764, 103253, 104140, 79328, 114276, 296, 38778, 48842, 79328, 103077, 101643, 101419, 78474, 110644, 64578, 100930, 100809, 102748, 103519, 103147, 100690, 105283, 100886, 382, 51, 103517, 86736, 80579, 60835, 14689, 87239, 100631, 220, 2550, 24, 39015, 220, 18509, 105397, 106035, 56884, 11, 112278, 103421, 293, 105594, 100790, 101887, 100959, 106035, 13, 36992, 63672, 101624, 101036, 100906, 100524, 60835, 113134, 26518, 87239, 100631, 220, 1049, 15, 39015, 400, 1591, 13, 3443, 320, 27847, 705, 112278, 103421, 220, 777, 70186, 100970, 100959, 13, 124710, 80579, 111865, 101378, 100944, 60835, 14689, 39015, 121319, 308, 49391, 11, 86736, 80579, 95676, 111894, 11, 7933, 9769, 11, 119599, 126719, 11, 326, 85400, 77, 11, 121945, 11, 96095, 121107, 48842, 119791, 13, 124710, 80579, 63129, 101378, 39015, 101846, 100947, 103847, 523, 79920, 11, 86736, 80579, 56884, 101278, 15199, 101439, 113922, 11, 102022, 66842, 66, 11, 102489, 103436, 100939, 102607, 48842, 101846, 100947, 101926, 382, 35, 40492, 66626, 720, 110798, 666, 90308, 108272, 111229, 66626, 100631, 220, 1049, 15, 11, 101724, 66626, 39015, 220, 806, 13, 17228, 13, 6860, 100524, 13, 111229, 66626, 102502, 102123, 220, 19, 11, 22, 4, 320, 19673, 13, 18070, 100524, 8, 779, 100409, 100631, 220, 2550, 15, 13, 85237, 102634, 108272, 220, 1049, 15, 1473, 220, 5313, 4, 320, 24, 13, 22926, 13, 20235, 100524, 8, 39015, 100524, 3067, 109938, 627, 220, 806, 11, 20, 4, 320, 16, 13, 12405, 13, 14777, 100524, 8, 39015, 100524, 3067, 114703, 627, 220, 16, 11, 24, 4, 320, 13460, 13, 4513, 100524, 8, 39015, 100524, 41985, 18137, 44862, 320, 983, 86632, 106035, 102811, 103824, 109316, 23565, 121659, 18137, 426, 71780, 125070, 121659, 4390, 220, 16, 11, 17, 4, 320, 9413, 13, 23736, 100524, 8, 39015, 100524, 106035, 112240, 114121, 43912, 627, 220, 15, 11, 17, 4, 320, 1187, 13, 21511, 100524, 8, 39015, 100524, 3067, 112764, 627, 220, 15, 11, 2437, 4, 320, 17, 13, 25541, 100524, 8, 39015, 100524, 112240, 28621, 18137, 95676, 79328, 110449, 102507, 110420, 106934, 111855, 627, 108178, 66626, 100744, 512, 220, 15, 11, 23, 4, 320, 2421, 13, 23103, 100524, 8, 39015, 102171, 983, 114227, 101419, 627, 220 ] ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

11.380143

[ [ 16, 11, 19, 4, 320, 10895, 13, 19445, 100524, 8, 39015, 100524, 29876, 113918, 124865, 100827, 627, 126078, 108442, 100524, 100944, 101036, 102171, 983, 114227, 39015, 100524, 106756, 320, 914, 11, 17, 34971, 362, 23684, 320, 717, 11, 22, 34971, 106035, 112240, 64913, 320, 806, 11, 20, 34971, 104491, 320, 24, 11, 17, 34971, 106035, 320, 23, 11, 20, 4, 4390, 21, 11, 21, 4, 101724, 66626, 14689, 104837, 220, 20, 104946, 26, 220, 914, 11, 19, 4, 104837, 220, 972, 104946, 26, 48842, 220, 1032, 11, 18, 4, 95676, 220, 2397, 104946, 103270, 102123, 13, 452, 57073, 102790, 115678, 104988, 220, 3971, 11, 19, 4, 66626, 101724, 382, 112438, 65161, 104290, 100809, 102869, 271, 47941, 78789, 107992, 271, 1305, 78969, 102724, 100705, 720, 220, 1032, 101317, 102724, 100705, 63129, 103190, 11, 70186, 100744, 101317, 102610, 101071, 39015, 104620, 100705, 127349, 26518, 14689, 627, 220, 1187, 26883, 125708, 79328, 101317, 102724, 100705, 63129, 103190, 48842, 103065, 104164, 13, 720, 220, 2790, 101317, 103762, 103981, 101781, 656, 13, 720, 220, 17, 101317, 379, 101831, 101627, 100930, 104426, 103427, 63129, 13, 720, 220, 868, 101317, 107072, 101239, 627, 220, 23, 101317, 105114, 103981, 13, 720, 1183, 28119, 220, 1187, 101317, 107535, 103190, 23526, 104033, 122667, 13, 720, 120069, 105398, 96182, 79328, 101317, 102724, 100705, 100788, 14689, 271, 1016, 34550, 116993, 103847, 101378, 271, 1016, 309, 105793, 271, 46521, 28119, 101325, 102507, 4815, 14689, 14489, 1389, 3997, 100944, 102004, 60835, 100944, 105128, 113134, 26518, 14689, 198, 350, 89039, 101373, 108361, 121201, 14689, 198, 473, 20842, 110847, 14689, 198, 666, 99310, 110847, 14689, 198, 110109, 11824, 108664, 14689, 198, 110109, 116657, 116515, 14689, 198, 126683, 57355, 14689, 320, 715, 45, 696, 720, 46451, 34550, 84, 26518, 107559, 108039, 198, 1305, 2234, 109316, 107559, 108039, 198, 34, 62131, 84, 102962, 103077, 48842, 124436, 101677, 105354, 104491, 100683, 114121, 106035, 198, 34, 62131, 84, 102962, 103077, 60835, 108361, 128000, 46510, 320, 764, 17099, 106038, 100558, 330, 23389, 76646, 63837, 51458, 5392, 72, 7561, 1, 18137, 330, 23389, 76646, 63837, 78, 103400, 5392, 72, 7561, 498, 103914, 105314, 25, 330, 23389, 76646, 63837, 78, 103400, 5392, 4317, 4063, 101717, 64578, 100524, 101798, 105475, 348, 102675, 118913, 39015, 3400, 72, 18137, 110641, 106038, 473, 11644, 101798, 39015, 356, 62131, 84, 13818, 112525, 11, 39015, 100403, 113134, 26518, 11457, 107931, 106983, 119928, 60835, 107559, 108039, 13, 111559, 101724, 66626, 39015, 220, 1987, 106002, 100524, 48842, 104160, 102898, 220, 14487, 11, 931, 13437, 30556, 320, 11286, 11, 16496, 9686, 17, 705, 102610, 101194, 101798, 31074, 320, 16707, 11, 931, 13437, 17, 8, 7188, 39015, 113134, 26518, 109708, 101724, 101071, 107559, 108039, 48842, 102610, 103421, 13081, 101036, 104160, 102898, 382, 124600, 39015, 105201, 98932, 60835, 106134, 102634, 12131, 42726, 320, 83, 38159, 816, 269, 4749, 39162, 3677, 41325, 111709, 101226, 4815, 46510, 597, 41038, 116336, 100409, 110420, 106934, 111855, 11, 19313, 11, 27966, 11, 17368, 48842, 113134, 26518, 426, 19580, 7188, 60835, 63271, 13, 127349, 26518, 97635, 29876, 100937, 106642, 101781, 102536, 101750, 105450, 11, 103253, 104140, 10913, 13345, 106513, 436, 109285, 11, 120939, 101373, 11, 829, 296, 102696, 112436, 308, 93402, 11, 48842, 62858, 124970, 294, 66862, 76, 293, 77394, 107931, 105450, 13, 111559, 104160, 102898, 220, 17337, 11, 931, 4194, 16400, 30556, 320, 6330, 11, 931, 9686, 17, 705, 101176, 39015, 113134, 26518, 102610, 103421, 13081, 60835, 107559, 108039, 48842, 102610, 101194, 100970, 100959, 106756, 48842, 101004, 100558, 101798, 31074, 13, 473, 92112, 105530, 79328, 65161, 104290, 102610, 60835, 113134, 26518, 110166, 104180, 18137, 105798, 293, 77394, 107931, 110420, 106934, 111855, 11, 109130, 108468, 102339, 39015, 9853, 12167, 11, 5960, 13175, 11, 5960, 11097, 11, 5843, 13011, 11, 30781, 11, 16376, 33238, 14, 2232, 73215, 8215, 11, 48842, 5960, 18842, 13, 107386, 102536, 11, 102711, 105128, 60835, 113134, 26518, 11, 41334, 11, 39015, 100403, 65161, 104290, 102610, 110166, 70186, 270, 2234, 326, 100883, 102746, 102748, 13, 102746, 102748, 103077, 101226, 60835, 113134, 26518, 102962, 100690, 108840, 48950, 11, 7188, 382, 41325, 111709, 101226, 7188, 106284, 1343, 6792, 11, 123992, 118418, 48842, 105206, 105765, 13, 15754, 102596, 113134, 26518, 29876, 270, 2234, 326, 100883, 102746, 102748, 11, 100403, 270, 2234, 326, 100883, 102610, 11, 103680, 100795, 94, 64578, 103253, 114708, 104458, 100557, 294, 111732, 120939, 293, 77394, 107931, 100788, 106983, 119928, 11, 294, 111732, 120939, 108972, 16109, 275, 36903, 27966, 100788, 106983, 109708, 11, 294, 111732, 120939, 57870, 29876, 108972, 119942, 100788, 114515, 127845, 11, 48842, 294, 111732, 120939, 45989, 613, 2113, 100788, 114515, 16854, 13, 104305, 117650, 11, 15199, 37845, 100959, 11, 48842, 126196, 124613, 95676, 79328, 120939, 80768, 259, 110303, 270, 2234, 326, 100883, 102746, 102748, 13, 452, 8890, 103290, 100959, 60835, 101338, 102610, 113134, 26518, 656, 125829, 102770, 452, 100494, 127349, 26518, 103641, 101386, 13, 125829, 102770, 666, 2234, 326, 100883, 102746, 102748, 104426, 103427, 102165, 102634, 100959, 60835, 100403, 66626, 65161, 104290, 11, 102241, 102171, 105334, 103641, 101386, 2665, 100769, 259, 110303, 102673, 111865, 101378, 13, 91553, 77394, 308, 89416, 348, 10515, 11, 111802, 390, 117650, 80226, 104602, 106513, 48842, 111202, 80768, 2665, 111802, 65161, 104290, 104089, 103077, 320, 17134, 52458, 39015, 12937, 783, 8, 64578, 103270, 65161, 118728, 100970, 983, 13, 102746, 326, 100883, 102746, 102748, 112436, 308, 93402, 48842, 103680, 100795, 94, 39015, 103498, 102748, 111865, 101378, 60835, 7188, 48842, 116330, 100403, 101338, 102610, 106510, 112228, 100932, 60835, 106035, 13, 107386, 102536, 11, 100769, 116330, 490, 112970, 100947, 259, 89702, 109725, 104458, 107421, 100447, 110099, 105798, 101643, 109708, 70186, 112199, 109708, 13, 2405, 7583, 16854, 60835, 270, 2234, 326, 100883, 11, 100403, 101338, 39015, 829, 296, 102696, 11, 64578, 105475, 39015, 270, 2234, 326, 100883, 5960, 11186, 64, 36444, 11, 656, 100959, 124613, 109968, 117650, 5960, 11186, 64, 36444, 11, 101717, 106983, 127845, 64578, 105475, 39015, 270, 2234, 326, 100883, 41334, 11, 656, 100959, 124613, 109968, 117650, 41334, 13, 113917, 125379, 101740, 17134, 41334, 4194, 4235, 5960, 11186, 64, 36444, 104953, 39015, 105743, 117650, 100809, 102869, 104426, 103427, 102165, 98932, 110649, 100959, 296, 112855, 48842, 104953, 39015, 105493, 100959, 102171, 105334, 60835, 101338, 102610, 101724, 110720, 113134, 26518, 382, 35, 111732, 120939, 36903, 27966, 320, 83, 96063, 330, 67, 111732, 120939, 259, 104558, 1, 70186, 103824, 109316, 23565, 121659, 8, 100788, 106983, 109708, 48842, 103498, 102748, 113134, 26518, 11, 29876, 120939, 67197, 39015, 15199, 113593, 120939, 101373, 101071, 70186, 220, 2166, 113134, 26518, 320, 19, 11, 18245, 36252, 320, 975, 11, 17786, 7693, 4682, 105322, 294, 111732, 36903, 101717, 29876, 103078, 98583, 102173, 96095, 95927, 48842, 102690, 96986, 320, 76, 95413, 102690, 100959, 123694, 111202, 48842, 39015, 102690, 102610, 101071, 60835, 113134, 26518, 101036, 100540, 102898, 570, 121777, 106983, 109708, 60835, 294, 111732, 36903, 39015, 270, 2234, 326, 100883, 64457, 48842, 102690, 12980, 4194, 4235, 105201, 98932, 103978, 102171, 105334, 60835, 38094, 107931, 13, 356, 101240, 103381, 106983, 119928, 39015, 102690, 12292, 11, 102690, 100959, 123694, 102610, 101071, 60835, 7188, 101036, 104160, 102898, 13, 650, 100988, 112199, 109708, 11, 107421, 100447, 100788, 294, 111732, 36903, 27966, 109968, 101833, 107421, 100447, 107827, 122178, 48842, 100788, 102224, 29876, 62858, 523, 93804, 107501, 117650, 122178, 104197, 11, 70186, 100744, 29876, 117650, 122178, 106862, 16854, 60835, 107559, 108039, 11, 117650, 122178, 11165, 285, 1037, 382, 49, 105477, 3091, 105128, 104988, 220, 1758, 4, 105596, 104160, 102898, 113134, 26518, 48842, 7188, 29876, 100937, 101278, 93530, 101194, 103938, 102880, 113134, 26518, 102176, 101419, 13, 126573, 104160, 102898, 123376, 11, 7188, 99227, 112278, 33254, 28366, 116839, 108116, 102833, 104097, 123376, 101036, 104160, 102898, 104197, 101194, 100403, 66626, 113134, 26518, 101419, 13, 121498, 102610, 60835, 123376, 100788, 102224, 100788, 106983, 119928, 127845, 113134, 26518, 48842, 2463, 70343, 106983, 119928, 294, 111732, 36903, 27966, 13, 109946, 112334, 123376, 104197, 101194, 100409, 102171, 105334, 39015, 106510, 274, 102490, 294, 83126, 101036, 100557, 294, 111732, 120939, 7188, 105798, 293, 77394, 107931, 101194, 11, 48842, 100970, 100557, 100939, 72, 110099, 104837, 107747, 294, 111732, 36903, 27966, 13, 109946, 123376, 93530, 104197, 101194, 29876, 100788, 79328, 294, 111732, 120939, 5960, 39843, 48842, 5960, 86857, 100788, 114515, 31074, 7188, 101004, 100558, 100790, 100557, 105956, 120939, 100788, 114515, 103498, 111632, 5960, 18842, 382, 107237, 829, 296, 102696, 100788, 7188, 115678, 220, 914, 4, 105596, 104160, 102898, 13, 121524, 114515, 16854, 29876, 294, 111732, 120939, 4149, 4550, 48842, 100403, 102690, 100959, 296, 112855, 102610, 4194, 4235, 107931, 8375, 783, 13, 16233, 296, 102696, 106983, 103498, 16854, 64578, 105475, 39015, 90437, 525, 13, 2405, 7583, 109708, 16854, 60835, 829, 296, 102696, 97635, 39015, 270, 2234, 326, 100883, 921, 52680, 11, 39015, 105201, 29876, 11717, 13284, 24492, 4194, 4235, 101643, 110099, 101071, 48842, 112436, 101071, 60835, 108840, 106035, 13, 51427, 100847, 110099, 101071, 60835, 270, 2234, 326, 100883, 921, 52680, 101359, 15199, 113593, 60835, 120939, 67197, 106844, 101194, 220, 15805, 4194, 16400, 320, 1049, 294, 66862, 76, 570, 1221, 100524, 80226, 111802, 103528, 107780, 126675, 74686, 101625, 95676, 101643, 97635, 101833, 101643, 122454, 48842, 100524, 107132, 103824, 101071, 39015, 12336, 31782, 339, 820, 13, 122529, 100930, 115816, 100558, 100970, 114515, 109708, 16854, 7188, 39015, 829, 296, 102696, 113919, 272, 100718, 77, 48842, 112436, 118393, 11, 48842, 79328, 270, 2234, 326, 100883, 28275, 6985, 48842, 31013, 102127, 29876, 107421, 100447, 101750, 101373, 87239, 112199, 120221, 382, 45, 103930, 101036, 293, 77394, 107931, 105581, 48842, 109708, 15199, 101439, 101724, 110720, 60835, 7188, 39015, 111802, 103065, 104164, 109701, 101925, 102610, 11, 103253, 104140, 5960, 11097, 4235, 24661, 13175, 4235, 86939, 1974, 11, 9853, 12167, 4235, 6720, 13011, 11, 16376, 33238, 4235, 40, 67674, 4235, 81686, 21215, 11, 48842, 5960, 18842, 13, 120029, 103839, 105798, 110420, 106934, 111855, 101750, 108387, 77, 107575, 779, 100409, 100557, 105256, 111623, 70186, 103033, 119103, 13, 452, 6151, 26298, 83, 100447, 54137, 103253, 104415, 109968, 101833, 101643, 109708, 87239, 112199, 109708, 320, 71, 92112, 100558, 54137, 29876, 259, 104558, 8, 48842, 107421, 100447, 15960, 27160, 76, 96094, 102123, 100790, 220, 966, 32037, 320, 70, 70711, 220, 1490, 59572, 3677, 46510, 64578, 102613, 100725, 100409, 100801, 103033, 102481, 29876, 100937, 124715, 106727, 83, 342, 111732, 11, 101071, 39015, 124715, 106727, 83, 342, 111732, 5960, 51162, 13, 107386, 100788, 100937, 113134, 26518, 101419, 100558, 28366, 11, 6652, 11, 19313, 11, 48842, 25378, 80226, 112545, 15473, 79328, 107728, 100801, 103033, 101750, 104504, 320, 70, 100520, 15473, 104458, 124715, 106727, 83, 342, 111732, 1561, 25048, 705, 102241, 100937, 100524, 102613, 100725, 100557, 100801, 103033, 100788, 7188, 101194, 102481, 101806, 112545, 15473, 102127, 112044, 48842, 18137, 112545, 15473, 100788, 100557, 105956, 109708, 101724, 110720, 382, 46510, 101004, 29876, 111802, 120939, 119942, 11, 100403, 66626, 101717, 102425, 100801, 100558, 120939, 119942, 48869, 68504, 13, 109946, 120939, 119942, 101419, 103253, 104140, 15199, 113593, 445, 28376, 11, 101176, 1343, 359, 308, 5721, 270, 101765, 95676, 220, 7529, 19, 100725, 220, 5926, 16, 11, 48842, 120939, 119942, 1443, 14635, 382, 107237, 65161, 104290, 100809, 102869, 720, 46451, 34550, 84, 26518, 7188, 29876, 220, 22086, 65161, 104290, 11, 70186, 100744, 101338, 102610, 110166, 70186, 100557, 103065, 104164, 109701, 101925, 102610, 13, 220, 2614, 4, 60835, 101724, 110720, 7188, 103978, 70186, 47151, 103065, 104164, 109701, 101925, 102610, 101071, 104140, 105956, 104620, 9853, 12167, 48842, 105956, 101740, 17134, 5960, 13175, 382, 35, 40492, 66626, 111802, 65161, 104290, 102610, 320, 1049, 15, 997, 9853, 12167, 25, 220, 18, 13, 25392, 13, 18248, 198, 5960, 11097, 25, 220, 26227, 13, 26576, 198, 5960, 13175, 25, 220, 23823, 13, 24865, 198, 5960, 18842, 25, 220, 16, 13, 12533, 13, 3443, 271, 107237, 63129, 98583, 102975, 96095, 720, 35, 100954, 101615, 120907, 102173, 96095, 320, 45, 5119, 8, 103391, 101226, 100937, 63129, 98583, 102975, 96095, 100788, 7188, 1473, 51427, 100766, 1708, 4719, 8875, 105798, 5960, 13175, 198, 126683, 111639, 113632, 102173, 96095, 99894, 22532, 100683, 5960, 18842, 198, 118018, 296, 101240, 7188, 198, 103078, 98583, 102173, 96095, 3489, 70711, 110449, 469, 78, 107931, 105798, 85754, 198, 103078, 98583, 102173, 96095, 666, 2234, 326, 100883, 921, 52680, 198, 126683, 111639, 113632, 102173, 96095, 60054, 3962, 12470, 105798, 48869, 68504, 42679, 198, 121452, 108546, 113632, 51558, 507, 88805, 100683, 11824, 8078, 198, 2405, 78789, 126096, 5236, 83, 38159, 4203, 307, 822, 198, 121452, 101982, 102984, 102173, 96095, 356, 103517, 650, 52649, 70186, 5960, 13175, 198, 121452, 108546, 113632, 3842, 15130, 404, 100683, 44027, 198, 103078, 98583, 102173, 96095, 40592, 9119, 11, 117365, 102915, 100683, 12015, 306, 1910, 483, 11165, 1026, 198, 118018, 296, 101240, 29604, 426, 2784, 9265, 409, 1556, 4458, 198, 103078, 98583, 102173, 96095, 24980, 41560, 198, 103078, 98583, 102173, 96095, 452, 107579, 119942, 445, 28376, 105798, 50416, 198, 126683, 111639, 113632, 102173, 96095, 109090 ] ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

11.042361

[ [ 86636, 308, 5721, 105798, 350, 1130, 63210, 198, 1183, 38159, 342, 5038, 2418, 50226, 277, 100683, 44177, 198, 121452, 101677, 113182, 102173, 96095, 90437, 525, 11, 117365, 102915, 100683, 4821, 267, 363, 198, 126683, 111639, 113632, 102173, 96095, 15130, 404, 35848, 100683, 666, 2234, 326, 100883, 8384, 198, 118018, 296, 101240, 109316, 23565, 121659, 356, 100647, 198, 126683, 111639, 113632, 102173, 96095, 393, 6258, 18709, 105798, 16056, 292, 1572, 198, 426, 77394, 107931, 102173, 96095, 386, 117225, 77259, 105798, 386, 117225, 77259, 198, 118018, 296, 101240, 69135, 17855, 198, 126683, 111639, 113632, 102173, 96095, 112000, 15199, 50986, 110647, 105386, 356, 101170, 10780, 100683, 1183, 102360, 119644, 105256, 110647, 105386, 64193, 198, 103078, 98583, 102173, 96095, 3816, 6798, 198, 103078, 98583, 105283, 100886, 102173, 96095, 473, 103823, 102282, 125948, 105931, 101582, 102790, 103421, 47151, 97867, 279, 51768, 1430, 100683, 35348, 198, 103078, 98583, 105283, 100886, 102173, 96095, 125033, 118728, 5960, 13175, 198, 121452, 101982, 102984, 102173, 96095, 423, 111732, 120939, 16376, 46844, 198, 103078, 98583, 102173, 96095, 356, 43604, 259, 89871, 720, 121452, 101982, 102984, 102173, 96095, 1254, 47190, 28931, 105798, 1254, 47190, 28931, 198, 103078, 98583, 102173, 96095, 95927, 271, 43, 100954, 100886, 4815, 1305, 100494, 96094, 100524, 114121, 117643, 100725, 7188, 101105, 102224, 39015, 100403, 70186, 100557, 105956, 105206, 105765, 100690, 103353, 102061, 48842, 119271, 110204, 101071, 100788, 108840, 106035, 101227, 125379, 101724, 13, 452, 6151, 41038, 84, 100524, 100788, 293, 77394, 107931, 106983, 119928, 107559, 108039, 30094, 77, 100557, 390, 116403, 107931, 11, 106821, 59801, 109195, 48842, 78474, 20921, 101010, 259, 95465, 272, 4381, 11, 70186, 96094, 100557, 101724, 114227, 101126, 100801, 101194, 100788, 103381, 70186, 7188, 74686, 30094, 77, 116403, 123376, 48842, 43222, 72, 326, 44737, 76, 100557, 101997, 305, 101765, 11, 101997, 100906, 11, 48842, 101997, 296, 102419, 13, 104305, 101724, 114227, 100788, 7188, 29876, 100937, 101157, 102004, 101744, 101774, 101419, 103321, 100558, 108442, 11, 101625, 113079, 11, 113134, 101625, 113079, 11, 48842, 79328, 107072, 101239, 102610, 101194, 100790, 293, 77394, 6160, 70343, 294, 102490, 294, 100988, 102312, 103731, 100558, 101724, 114227, 921, 372, 1003, 11, 393, 16279, 11, 48842, 8375, 20718, 13, 114195, 1048, 62552, 103943, 11, 118481, 101121, 101419, 101724, 114227, 11, 48842, 101609, 105676, 105386, 100930, 100724, 2665, 100557, 101724, 114227, 101419, 103321, 29876, 100937, 115390, 101609, 102165, 103254, 101975, 48842, 101793, 101831, 382, 23307, 3496, 37485, 1157, 27200, 31660, 6292, 100524, 426, 71780, 125070, 121659, 39015, 100524, 114121, 117643, 100906, 103451, 270, 36334, 109092, 100403, 101338, 293, 77394, 107931, 7188, 100631, 220, 10559, 17, 13, 356, 101240, 26184, 42865, 39015, 100524, 100906, 103451, 270, 36334, 109092, 100970, 293, 77394, 107931, 48842, 115884, 105900, 102171, 102655, 101702, 100409, 105956, 103033, 97635, 100631, 220, 10895, 24, 13, 112367, 107690, 101582, 111639, 220, 972, 11, 79328, 101975, 104208, 104300, 109316, 23565, 121659, 80226, 103933, 103559, 79328, 114276, 124416, 101750, 104197, 100790, 100557, 105956, 103033, 103427, 101386, 102610, 24040, 103517, 326, 71780, 102962, 114515, 106513, 436, 109285, 100690, 106983, 127845, 60835, 426, 19580, 7188, 382, 51341, 100906, 11, 105956, 103033, 29876, 105197, 7188, 103253, 104140, 105956, 119928, 127845, 60835, 51427, 27160, 102975, 109316, 23565, 121659, 11, 110939, 39015, 103943, 110449, 426, 19580, 7188, 320, 39, 20842, 7188, 705, 48842, 101338, 102610, 100557, 105956, 103033, 100852, 103091, 60835, 79328, 113134, 26518, 7188, 11, 27966, 11, 23195, 11, 17368, 11, 48842, 49832, 11, 64578, 105475, 39015, 83160, 7188, 320, 1016, 99310, 7188, 570, 105322, 101227, 103475, 100906, 11, 100557, 10837, 71, 102790, 60835, 107931, 36775, 10333, 48842, 293, 77394, 107931, 110420, 106934, 111855, 104403, 64578, 270, 36334, 109092, 107114, 104602, 11, 2665, 101485, 7188, 64578, 123531, 100558, 100403, 305, 101240, 110449, 100790, 100557, 101764, 100939, 101227, 100744, 13, 122809, 7188, 64578, 103586, 15473, 2665, 105956, 97635, 101036, 305, 101240, 110449, 113079, 98583, 7188, 70186, 16132, 1446, 40625, 409, 9419, 501, 65674, 11644, 320, 107237, 490, 102209, 23526, 102069, 105438, 60835, 52298, 438, 1122, 705, 100403, 113134, 114921, 103824, 109316, 23565, 121659, 656, 12471, 5979, 57825, 71437, 28700, 409, 9995, 278, 3415, 105717, 87239, 101582, 111639, 220, 845, 382, 53, 89871, 103033, 97635, 29876, 100524, 125379, 101724, 102259, 96094, 29876, 79328, 104053, 270, 36334, 109092, 326, 30441, 15199, 30441, 60835, 100524, 114121, 117643, 87239, 101582, 111639, 220, 845, 13, 51427, 71348, 107690, 101582, 111639, 220, 972, 11, 109316, 23565, 121659, 115678, 105956, 97635, 65161, 102962, 103077, 60835, 102140, 13, 114482, 96094, 12550, 125170, 64578, 107535, 103190, 70186, 104053, 125948, 105931, 125170, 107535, 103190, 63271, 320, 10562, 15, 4235, 10828, 16, 705, 7188, 65161, 100403, 101338, 60835, 100959, 97635, 13, 473, 68757, 220, 1049, 100631, 33254, 96094, 12550, 125170, 64578, 107535, 103190, 11, 7188, 39015, 103367, 72900, 102962, 114515, 127845, 60835, 102975, 96095, 13, 104305, 490, 38159, 101750, 102610, 111597, 121945, 11, 64578, 105475, 10837, 971, 11, 103270, 65161, 102489, 100447, 100944, 60835, 7188, 102962, 12550, 13, 104305, 103997, 96095, 48842, 100932, 101724, 104470, 100906, 100725, 95676, 107559, 108039, 11, 102911, 101882, 100557, 104115, 102951, 102961, 125958, 100770, 112545, 15473, 24040, 103968, 114515, 7188, 382, 53, 100988, 101227, 103475, 97635, 11, 100403, 66626, 109878, 114227, 115668, 101004, 110832, 270, 36334, 109092, 48842, 115884, 105900, 102171, 102655, 100403, 101338, 7188, 11, 102241, 79328, 103528, 270, 36334, 109092, 97635, 54137, 65161, 63129, 656, 16233, 112659, 54137, 100809, 102748, 48842, 656, 100944, 105128, 12550, 103933, 103559, 100403, 66626, 1343, 78789, 126096, 320, 24544, 307, 822, 8, 80768, 523, 112855, 100557, 104053, 865, 87828, 63672, 87239, 114515, 97635, 13, 7188, 54137, 29876, 100937, 100524, 98932, 103978, 2665, 100725, 96094, 379, 100705, 100852, 102724, 101278, 114571, 64578, 100930, 293, 89871, 308, 61357, 79328, 103893, 66626, 83, 111014, 11, 66626, 83, 9517, 83, 11, 48842, 102090, 305, 101765, 104991, 15473, 104458, 12097, 85553, 48842, 293, 42703, 523, 10515, 11, 100557, 104676, 100770, 100947, 13845, 52680, 112594, 96094, 100947, 109708, 112501, 11, 100920, 100788, 7188, 86952, 110988, 101309, 97635, 382, 115114, 12550, 125170, 64578, 107535, 103190, 95676, 109316, 23565, 121659, 101105, 79328, 101975, 104208, 104300, 109316, 23565, 121659, 100683, 7188, 102962, 100690, 100944, 105128, 12550, 11, 48842, 100501, 348, 100672, 111014, 101982, 259, 11644, 48842, 293, 109285, 105118, 100557, 101975, 97635, 13, 107386, 102536, 11, 100937, 65161, 104290, 102610, 60835, 7188, 80226, 101580, 102454, 117130, 114708, 100557, 101975, 104208, 104300, 97635, 11, 104458, 103453, 100557, 65161, 104290, 100744, 29876, 105197, 270, 100951, 11, 115248, 100533, 100558, 9853, 12167, 64578, 103586, 105197, 101036, 106756, 124297, 23880, 11, 5960, 13175, 101036, 126187, 2405, 276, 14668, 9769, 65161, 2755, 13532, 11, 5960, 11097, 101036, 126187, 15754, 817, 11, 48842, 5960, 18842, 101036, 126187, 51427, 72, 52096, 582, 9769, 382, 53, 100988, 125948, 105931, 106035, 5364, 327, 4042, 320, 10336, 21, 4235, 10336, 23, 705, 100524, 101724, 106035, 107132, 102123, 105084, 86952, 100944, 105128, 12550, 13, 113093, 100906, 103451, 60835, 104053, 104854, 11, 220, 10336, 21, 11, 116657, 107575, 7188, 64578, 65161, 103190, 48842, 356, 77394, 480, 101551, 85307, 23542, 13, 1183, 28119, 54738, 272, 77394, 97635, 29876, 101157, 100403, 390, 342, 101551, 111014, 48842, 100403, 114276, 104372, 13, 107386, 102536, 11, 108342, 107072, 107575, 100947, 122700, 294, 117575, 119949, 7933, 95413, 96094, 60223, 93699, 108818, 3842, 423, 13, 328, 1261, 60835, 110647, 105386, 107559, 108039, 104878, 87239, 101740, 17134, 5960, 13175, 48842, 115884, 105900, 102171, 102655, 60835, 107559, 108039, 101702, 100409, 7188, 13, 42116, 104854, 105931, 11, 7188, 100947, 107361, 65161, 220, 17, 101338, 102962, 12550, 320, 764, 7583, 16854, 8, 48842, 107559, 108039, 320, 764, 7583, 127845, 570, 121498, 106983, 127845, 11, 100906, 103451, 64578, 105475, 83160, 7188, 11, 105757, 103270, 65161, 113134, 26518, 7188, 102962, 107559, 108039, 26, 101717, 101338, 106983, 16854, 64578, 12550, 107361, 65161, 47151, 113134, 26518, 426, 19580, 7188, 48842, 426, 19580, 7188, 8242, 382, 53, 100988, 100631, 220, 10336, 23, 11, 29876, 104988, 220, 19, 13, 931, 100524, 109316, 23565, 121659, 100788, 105956, 270, 99310, 7188, 101833, 87239, 100524, 11, 102241, 111014, 80226, 64578, 101580, 15960, 26298, 76, 105798, 41334, 11, 100724, 2665, 100937, 100524, 100725, 102224, 95676, 106035, 11, 117643, 113917, 11, 48842, 100557, 105201, 101419, 100409, 6409, 111261, 103765, 111014, 70186, 104053, 102510, 865, 9769, 103765, 111014, 100788, 7188, 100631, 220, 10336, 24, 13, 3234, 100744, 11, 101750, 100937, 100524, 63672, 110720, 87239, 114515, 97635, 11, 48842, 7188, 64578, 103270, 65161, 113134, 26518, 103421, 220, 2148, 60835, 107559, 108039, 100631, 220, 9741, 15, 13, 108856, 113134, 26518, 97635, 96095, 63672, 104540, 26518, 11, 101176, 64578, 116523, 39015, 100403, 70186, 100557, 113134, 26518, 101781, 656, 11, 110939, 39015, 101176, 272, 103685, 102489, 100447, 308, 9769, 104097, 382, 41325, 92112, 103451, 11, 100769, 74686, 86952, 86952, 104807, 114515, 109316, 48842, 79328, 103498, 102748, 100788, 114515, 108625, 259, 101663, 101105, 104415, 48842, 112208, 109092, 13, 125303, 102054, 101058, 74686, 101036, 79328, 123730, 102761, 107931, 105581, 101535, 74686, 101743, 83890, 7933, 103416, 18137, 74686, 101625, 101750, 104821, 110491, 100790, 100557, 390, 102761, 103033, 13, 113093, 220, 9714, 24, 11, 102761, 83890, 119942, 112044, 120593, 103077, 100906, 103451, 64578, 103313, 65161, 11, 101700, 15473, 100403, 127540, 74686, 116765, 101194, 13, 42116, 100744, 11, 62858, 124970, 7933, 89702, 100524, 106035, 101833, 7188, 11, 105201, 100557, 100524, 93205, 100725, 117051, 109725, 15473, 103456, 103914, 259, 110303, 103033, 87239, 100557, 101420, 120221, 113919, 272, 50986, 11, 103033, 100744, 101750, 100827, 80768, 116330, 106510, 102607, 101997, 48842, 100724, 111865, 101378, 102811, 105976, 13, 104305, 101278, 106510, 108024, 6730, 934, 97700, 64578, 116330, 109908, 103436, 320, 17134, 52458, 39015, 106510, 6730, 705, 48842, 95676, 100744, 104710, 86736, 101616, 111865, 101378, 7188, 104470, 100906, 101750, 65161, 63129, 100725, 101120, 103091, 382, 41325, 92112, 101582, 111639, 220, 508, 11, 100930, 1891, 122342, 100725, 7188, 102502, 105314, 33254, 96094, 103313, 65161, 100557, 390, 102761, 112044, 120593, 103077, 102610, 100558, 118018, 25379, 48842, 1630, 64, 116110, 220, 2287, 13, 112367, 220, 7028, 15, 100725, 220, 5162, 20, 11, 101724, 66626, 7188, 102502, 101833, 105798, 100403, 106002, 48842, 7188, 103270, 65161, 113134, 26518, 109708, 101724, 101071, 104540, 26518, 13, 112367, 100631, 220, 5162, 20, 100725, 103091, 11, 101121, 98710, 60835, 113134, 26518, 104115, 102951, 103313, 101887, 100724, 7188, 103270, 65161, 100403, 70186, 100557, 103077, 101643, 29876, 100937, 102171, 983, 101278, 100524, 101071, 100790, 101582, 102790, 13, 112943, 72, 105976, 11, 113134, 26518, 29876, 103065, 1910, 71, 103628, 101781, 656, 11, 105744, 102613, 100690, 105114, 103981, 48842, 103353, 102061, 11, 48842, 39015, 103498, 102748, 102975, 101831, 100690, 63129, 13892, 105114, 103981, 11, 104710, 63129, 101378, 101926, 102620, 48842, 104208, 101157, 11, 63129, 101378, 106038, 111761, 11, 48842, 104710, 86736, 101616, 111865, 101378, 80226, 102811, 100788, 100790, 382, 80859, 40492, 98710, 271, 35, 40492, 66626, 4815, 126078, 220, 1049, 21, 11, 7188, 29876, 104988, 220, 1927, 13, 9413, 13, 10288, 100524, 11, 102502, 220, 13754, 13, 7743, 100524, 18137, 220, 15, 11, 23, 4, 779, 100409, 100631, 220, 1049, 20, 48842, 102502, 220, 17, 13, 11387, 13, 22054, 100524, 18137, 220, 21, 11, 22, 4, 779, 100409, 100631, 220, 1049, 15, 13, 111559, 105397, 104097, 102502, 97635, 11, 7188, 112278, 62858, 103421, 220, 1032, 70186, 66626, 79328, 113134, 26518, 102502, 101724, 66626, 105314, 101071, 13, 112553, 100524, 102502, 102123, 104140, 220, 16, 13, 23906, 13, 7261, 102502, 104788, 101781, 102536, 320, 17, 13, 21893, 13, 23033, 100524, 98932, 114571, 220, 16, 13, 10697, 13, 20465, 100524, 112594, 8, 48842, 220, 23986, 13, 19391, 100524, 63672, 110720, 13, 7188, 39015, 113134, 26518, 109708, 101724, 101071, 100409, 100790, 220, 717, 4, 100524, 106035, 103978, 100683, 102224, 13, 107005, 39015, 100403, 102975, 96095, 107000, 11, 7188, 100770, 39015, 100959, 109708, 101724, 103421, 220, 1958, 100790, 101582, 102790, 13, 7188, 100937, 101194, 7008, 220, 19, 106002, 101724, 382, 1163, 114884, 114227, 4815, 116305, 105936, 114227, 102176, 115678, 105206, 66626, 100683, 7188, 13, 110992, 39015, 100403, 70186, 13081, 113134, 26518, 320, 46510, 11, 28621, 48842, 1561, 12550, 8, 100920, 100524, 119293, 66626, 100937, 101194, 100524, 3067, 109938, 13, 109796, 3067, 109938, 54137, 29876, 112240, 95676, 114121, 106035, 20023, 71, 103610, 39015, 108442, 109708, 101071, 11, 102241, 100501, 54137, 115678, 102724, 105206, 66626, 13, 109796, 112240, 95676, 114121, 106035, 20023, 71, 115678, 100790, 100403, 101338, 13081, 66626, 101724, 26, 79328, 108442, 101419, 11, 101036, 103421, 101781, 39015, 25, 109796, 106035, 112240, 43912, 11, 109796, 106035, 112240, 64913, 48842, 109796, 125379, 101724, 3067, 112764, 382, 53, 24439, 29876, 100937, 100524, 63672, 110720, 95676, 114121, 106035, 20023, 71, 11, 101071, 39015, 95676, 63271, 11, 48842, 102833, 104097, 98932, 86736, 60835, 100524, 106035, 20023, 71, 101373, 101194, 11, 79328, 100893, 107829, 104825, 1343, 86242, 983, 119121, 103456, 100501, 100770, 115678, 105206, 66626, 87239, 100631, 220, 7854, 15, 13, 7188, 29876, 102833, 104097, 100524, 112240, 114121, 43912 ] ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

11.478366

[ [ 101373, 103421, 20921, 24439, 101887, 102975, 11, 99227, 33254, 28621, 382, 21567, 62552, 110204, 720, 51, 100474, 100725, 100631, 220, 1049, 15, 11, 66626, 100524, 7188, 95676, 220, 20, 104946, 103270, 102123, 100886, 100610, 103824, 104491, 48842, 103824, 109316, 23565, 121659, 100683, 100893, 103528, 122864, 39015, 220, 1399, 11, 20, 4, 48842, 220, 914, 11, 23, 14697, 124942, 102746, 102173, 112278, 103421, 13081, 100409, 220, 17, 11, 21, 13689, 33254, 100744, 39015, 103824, 12633, 32051, 320, 17, 11, 15, 11587, 48842, 103824, 101798, 320, 16, 11, 18, 95181, 114422, 100790, 220, 1041, 119271, 110204, 125379, 101724, 100683, 102224, 11, 102241, 115816, 105530, 102250, 100788, 103578, 106860, 17154, 100403, 13, 112367, 100631, 220, 3753, 21, 11, 21694, 71348, 101135, 7188, 80226, 99227, 100743, 103824, 104491, 100724, 119271, 110204, 109908, 93530, 48842, 100944, 102004, 70186, 113134, 26518, 382, 51, 62552, 104300, 720, 120403, 101724, 7188, 101036, 79328, 116521, 104300, 33254, 320, 679, 19, 997, 21625, 9769, 104300, 4194, 4235, 220, 2075, 14062, 113716, 101975, 103078, 104300, 432, 9769, 1764, 4194, 4235, 220, 843, 14062, 57355, 445, 49391, 4194, 4235, 220, 1591, 14062, 43748, 4194, 4235, 220, 23, 14062, 1183, 101321, 445, 3496, 4194, 4235, 220, 18, 14062, 117726, 117642, 4194, 4235, 220, 17, 14062, 113716, 101975, 36302, 4194, 4235, 220, 17, 14062, 104305, 104300, 101975, 20774, 100659, 112874, 101419, 4194, 4235, 220, 1419, 14062, 104305, 104300, 127019, 21625, 9769, 101419, 4194, 4235, 220, 18, 14062, 3234, 110420, 104300, 4194, 4235, 220, 17, 14062, 111856, 104300, 4194, 4235, 220, 17, 14062, 473, 102490, 104300, 4194, 4235, 220, 16, 14062, 104305, 116521, 104300, 101419, 4194, 4235, 220, 18, 14062, 109306, 116521, 104300, 4194, 4235, 220, 1544, 15804, 80859, 19470, 79328, 113134, 26518, 114515, 119928, 101419, 11, 66626, 100524, 101781, 101627, 39015, 330, 106345, 116521, 104300, 1, 101373, 101194, 79328, 105201, 101419, 100683, 107559, 108039, 382, 42, 21538, 101831, 4815, 123436, 113134, 26518, 29876, 103824, 100690, 110649, 100447, 125555, 113108, 96094, 779, 126817, 100409, 79328, 113134, 26518, 100788, 293, 77394, 107931, 109708, 107559, 108039, 11, 108342, 101793, 101831, 7188, 102610, 103421, 274, 116906, 100790, 101582, 102790, 48842, 107827, 110223, 220, 1032, 4, 87239, 105596, 86736, 80579, 102975, 104089, 320, 38, 10510, 8, 107559, 108039, 13, 104305, 104710, 63129, 101378, 102610, 101071, 60835, 113134, 26518, 103253, 104140, 111865, 101378, 11, 62858, 54137, 119314, 117365, 11, 101982, 102984, 11, 63129, 101378, 112894, 11, 48842, 3930, 105283, 13, 7188, 101004, 29876, 111802, 103498, 102748, 101793, 101831, 100809, 102869, 100558, 17681, 320, 85, 41038, 101926, 102620, 705, 270, 2234, 326, 100883, 102746, 102748, 7188, 320, 85, 41038, 111865, 101378, 705, 270, 2234, 326, 100883, 38250, 320, 85, 41038, 102022, 101624, 48842, 63129, 103762, 101373, 705, 48842, 105956, 432, 118573, 348, 526, 320, 85, 41038, 120252, 348, 526, 3677, 1163, 100474, 105128, 4815, 47941, 90308, 100944, 105128, 101609, 26518, 107559, 108039, 11, 7188, 29876, 100944, 105128, 113229, 107072, 107575, 11, 100409, 13081, 125708, 100944, 105128, 25, 101091, 101135, 104140, 666, 90308, 111739, 7188, 48842, 79328, 100809, 101774, 64578, 115270, 107000, 436, 100651, 26, 116471, 100809, 103190, 101135, 26518, 7188, 104140, 473, 20842, 110847, 48842, 666, 99310, 110847, 26, 48842, 101821, 101135, 29876, 126661, 102770, 350, 89039, 101373, 7188, 48842, 79328, 120599, 101386, 104837, 13, 127349, 26518, 101004, 80768, 111752, 2463, 103446, 96095, 87239, 102759, 101291, 100944, 105128, 74625, 104416, 106066, 11, 118826, 102025, 101724, 102339, 11, 293, 109285, 113658, 11, 48842, 113839, 104628, 382, 47941, 78789, 107992, 4815, 5519, 100403, 9964, 100944, 102770, 60835, 15960, 71348, 101135, 113134, 26518, 11, 7188, 101058, 26883, 102262, 220, 1272, 4, 60835, 78474, 63672, 113134, 26518, 2665, 102165, 102634, 101317, 63129, 13, 7188, 39015, 113134, 26518, 102082, 101071, 29876, 101309, 106701, 100558, 103453, 382, 107237, 101317, 113134, 100705, 63129, 103190, 29876, 101417, 101406, 101419, 103321, 113346, 101036, 101317, 13, 921, 52458, 101406, 60835, 79328, 101317, 103077, 102282, 101338, 102610, 113346, 101036, 102881, 106796, 100788, 105956, 15199, 85555, 48842, 272, 112878, 60835, 9120, 105081, 108151, 79328, 101317, 13, 121524, 100403, 66626, 105956, 11, 26883, 102262, 103391, 101226, 259, 101663, 100403, 101338, 102610, 60835, 102881, 80226, 102143, 2665, 104300, 107992, 13, 121524, 100557, 105956, 100425, 109168, 11, 105397, 104097, 100524, 102613, 113354, 105717, 29876, 100540, 106844, 101194, 220, 2031, 4, 101724, 110720, 382, 39, 26298, 102634, 101317, 103498, 100705, 63129, 103190, 113480, 100557, 105536, 113346, 102263, 100690, 110461, 101378, 11, 119271, 110204, 11, 48842, 102637, 100705, 101121, 103353, 29876, 101386, 107000, 2665, 100557, 100705, 98932, 13845, 86242, 72, 11, 98932, 98583, 104256, 116611, 11, 48842, 100705, 98932, 63129, 101378, 13, 105375, 101627, 100705, 98932, 104470, 100906, 95676, 104988, 220, 975, 4235, 972, 104946, 11, 48842, 100944, 105128, 127469, 125668, 107193, 100524, 101058, 74686, 100705, 96094, 100725, 220, 845, 104946, 13, 121524, 100937, 103065, 104164, 101317, 100705, 11, 100557, 101317, 103498, 100705, 101126, 102915, 29876, 105536, 113346, 102263, 100409, 107413, 101291, 102455, 103498, 87239, 101359, 100705, 11, 100524, 220, 806, 4235, 1032, 104946, 74686, 100557, 101317, 100705, 97635, 13, 109946, 101317, 113134, 100705, 99227, 113480, 100690, 101359, 100705, 11, 105283, 100886, 11, 48842, 103254, 101975, 11, 48842, 29876, 101317, 106130, 104300, 113346, 102263, 127483, 101120, 104470, 100906, 95676, 220, 20, 104946, 13, 105186, 105128, 125668, 107193, 106590, 991, 101058, 100725, 101317, 95676, 220, 21, 104946, 382, 39, 26298, 102634, 79328, 110847, 102724, 100705, 107829, 104825, 100944, 60835, 113134, 26518, 39015, 102165, 102634, 121201, 104620, 100705, 7188, 320, 5576, 705, 29876, 100937, 100893, 107829, 104825, 80226, 102170, 100943, 101982, 48078, 101194, 103938, 102880, 101126, 102915, 102176, 100790, 101582, 102790, 48842, 64578, 116523, 100558, 100403, 70186, 100557, 102165, 102634, 110847, 102724, 100705, 63129, 103190, 62858, 100906, 60835, 107559, 108039, 13, 127356, 102634, 31613, 29876, 104495, 112957, 101627, 220, 717, 11, 20, 4, 60835, 100557, 100705, 98932, 101373, 101643, 101071, 48842, 100932, 100852, 107829, 104825, 33254, 102724, 100705, 13, 720, 5576, 100852, 29876, 220, 605, 110847, 102724, 100705, 65161, 98583, 48842, 220, 16, 101317, 103704, 101609, 101325, 100788, 5960, 13175, 25, 720, 31613, 7826, 261, 28399, 198, 31613, 6354, 276, 13175, 99227, 109770, 101700, 100557, 98932, 98583, 33254, 102724, 100705, 104710, 379, 198, 31613, 8288, 437, 12167, 198, 31613, 6354, 276, 18842, 198, 31613, 9607, 23156, 198, 31613, 6354, 8424, 21510, 198, 31613, 6354, 8424, 32207, 198, 31613, 22197, 67674, 198, 31613, 11151, 1986, 579, 198, 31613, 5364, 261, 2041, 198, 110178, 104620, 100705, 109903, 79844, 320, 39, 561, 826, 9304, 315, 7658, 8, 101609, 101325, 100409, 31613, 11, 113182, 100683, 107535, 103190, 48842, 54137, 100947, 103909, 111187, 104458, 31613, 198, 5576, 101004, 103391, 101226, 100403, 66626, 102257, 115248, 104392, 101609, 26518, 2665, 102106, 452, 59697, 101406, 107559, 108039, 25, 720, 115317, 115248, 104392, 102173, 96095, 28574, 33108, 320, 39379, 28399, 11, 7188, 8, 656, 31613, 105003, 101959, 103391, 101226, 48842, 101309, 101091, 11, 104878, 101091, 107829, 104825, 104403, 64578, 101909, 101278, 100790, 100937, 109617, 104164, 102637, 100705, 100409, 100557, 308, 72531, 102686, 100944, 102455, 103498, 87239, 107829, 104825, 101126, 101764, 100690, 119314, 117365, 11, 98932, 100705, 100743, 101406, 11, 102637, 100705, 51593, 11, 102165, 102634, 101329, 101406, 93205, 48842, 101982, 101135, 106772, 101317, 48842, 100886, 100610, 101926, 104529, 102898, 100827, 100724, 63129, 105688, 117051, 109725, 627, 115317, 115248, 104392, 102173, 96095, 28574, 22617, 6518, 320, 83995, 6518, 11, 7188, 8, 31613, 103391, 101226, 48842, 105303, 101091, 93530, 74625, 100403, 63129, 13892, 108151, 103562, 104832, 103782, 101821, 101121, 107000, 103147, 48842, 39015, 101702, 101779, 103782, 102489, 11, 100886, 100610, 102637, 100705, 48842, 63129, 103762, 103451, 104878, 80768, 104673, 101677, 103456, 119314, 105256, 111391, 101121, 60835, 106035, 103610, 109130, 25826, 272, 102366, 13, 118338, 102224, 101004, 29876, 79328, 107413, 101291, 107829, 104825, 102610, 100690, 105158, 101157, 114681, 102022, 101624, 48842, 101367, 119121, 11, 101329, 101406, 48842, 106772, 101317, 11, 98932, 100705, 48842, 63129, 103762, 98932, 100705, 11, 102637, 100705, 101126, 101764, 48842, 63129, 103762, 102329, 100610, 11, 105084, 109908, 103436, 119314, 105256, 123964, 124723, 62858, 122775, 48842, 459, 119440, 104089, 103077, 13, 110992, 101004, 39015, 105201, 29876, 100557, 114681, 102022, 101624, 104504, 101071, 101582, 102790, 627, 115317, 115248, 104392, 102173, 96095, 9853, 1708, 10808, 320, 30696, 1708, 10808, 11, 1561, 12550, 8, 31613, 103391, 101226, 48842, 105303, 101091, 93530, 74625, 100403, 63129, 13892, 108151, 103562, 104832, 103782, 101821, 101121, 107000, 103147, 48842, 39015, 101702, 101779, 103782, 102489, 11, 102455, 103498, 115816, 105530, 79328, 63129, 100769, 60835, 102140, 87239, 100769, 104673, 101677, 100447, 25826, 272, 102366, 60835, 119314, 105256, 111391, 101121, 106035, 13, 104305, 63129, 100769, 101419, 100683, 102224, 101609, 100809, 100725, 79328, 107413, 101291, 107829, 104825, 108095, 113602, 523, 112855, 100930, 326, 100520, 31791, 60835, 119314, 105256, 123964, 124723, 62858, 122775, 48842, 459, 119440, 102975, 96095, 107559, 108039, 11, 100558, 101677, 105159, 107559, 108039, 111437, 104053, 113886, 63129, 24040, 114884, 105900, 382, 39, 26298, 102634, 121201, 104620, 100705, 7188, 3314, 320, 6546, 52, 8, 101004, 64578, 116523, 100558, 100403, 70186, 100557, 102165, 102634, 101317, 100705, 107823, 3355, 26298, 83, 100790, 101582, 102790, 13, 127356, 102634, 10211, 52, 103253, 104140, 220, 1419, 110847, 102724, 100705, 1473, 104620, 100705, 127349, 26518, 88409, 94144, 198, 104620, 100705, 127349, 26518, 921, 4042, 198, 104620, 100705, 127349, 26518, 12103, 7942, 198, 104620, 100705, 127349, 26518, 41334, 198, 104620, 100705, 127349, 26518, 5960, 13175, 198, 104620, 100705, 127349, 26518, 7188, 100683, 650, 109288, 108625, 198, 104620, 100705, 127349, 26518, 7188, 100683, 426, 8476, 2630, 198, 104620, 100705, 127349, 26518, 7188, 100683, 3489, 70711, 110449, 469, 78, 107931, 198, 104620, 100705, 127349, 26518, 7188, 100683, 78857, 28700, 25964, 198, 104620, 100705, 127349, 26518, 7188, 100683, 82270, 198, 104620, 100705, 127349, 26518, 7188, 100683, 8797, 37733, 198, 104620, 100705, 127349, 26518, 7188, 100683, 5843, 13011, 198, 104620, 100705, 127349, 26518, 7188, 100683, 9853, 12167, 198, 121010, 110847, 125033, 118728, 7188, 198, 104620, 100705, 127349, 26518, 7188, 100683, 650, 109288, 98495, 198, 104620, 100705, 127349, 26518, 7188, 100683, 4892, 11431, 198, 104620, 100705, 426, 54161, 102637, 127349, 26518, 7188, 100683, 39412, 6863, 198, 104620, 100705, 127349, 26518, 7188, 100683, 5960, 86857, 198, 104620, 100705, 127349, 26518, 5960, 18842, 198, 104620, 100705, 127349, 26518, 5960, 11097, 198, 104620, 100705, 426, 54161, 102637, 127349, 26518, 7188, 100683, 5960, 34297, 4761, 285, 5481, 198, 104620, 100705, 127349, 26518, 7188, 100683, 5960, 66605, 198, 104620, 100705, 127349, 26518, 7188, 100683, 15560, 285, 58329, 271, 114989, 101194, 220, 3443, 13, 931, 98932, 98583, 11, 102165, 102634, 10211, 52, 39015, 102165, 102634, 110847, 102724, 100705, 102610, 101071, 60835, 107559, 108039, 13, 112943, 29876, 104495, 112957, 101627, 101338, 13081, 100705, 98932, 103498, 100705, 109908, 93530, 101373, 101643, 101071, 13, 104305, 110847, 102724, 100705, 102962, 102165, 102634, 10211, 52, 101338, 100937, 110587, 2665, 98932, 98583, 102724, 100705, 11, 102241, 100937, 101317, 102610, 70186, 102165, 102634, 11, 100558, 39015, 10211, 52, 12, 6720, 13011, 11, 10211, 52, 7424, 417, 2201, 11, 5960, 18842, 3314, 3907, 11, 48842, 5960, 11097, 3314, 3907, 11, 102250, 100809, 102748, 102695, 100690, 107829, 104825, 11, 101071, 39015, 100690, 100557, 104710, 102637, 100705, 102329, 100610, 13, 10211, 52, 117959, 100724, 109430, 100409, 100403, 101338, 60835, 328, 39815, 100939, 60295, 100631, 220, 5162, 15, 87239, 100631, 220, 1049, 22, 96094, 100501, 104470, 100906, 106284, 100705, 101740, 104878, 106312, 320, 3438, 920, 6266, 100690, 104300, 107992, 13, 356, 11644, 101625, 666, 19470, 110847, 127349, 26518, 16768, 7834, 48842, 79328, 100524, 101419, 80226, 102811, 103456, 104115, 102951, 104197, 97635, 39015, 109427, 100906, 103451, 80768, 109358, 101744, 102165, 102634, 102724, 100705, 100788, 7188, 382, 39, 26298, 102634, 110178, 104620, 100705, 116657, 101239, 7188, 320, 46510, 12332, 79219, 744, 482, 92574, 50, 8, 103641, 101386, 100557, 105536, 330, 8376, 78789, 107992, 105596, 934, 17099, 498, 29876, 100540, 103134, 102410, 101740, 105536, 100705, 74625, 100557, 102165, 102634, 10211, 52, 48842, 31613, 11, 48842, 101004, 103641, 101386, 107413, 101291, 113480, 110461, 11, 113480, 105536, 110099, 11, 48842, 100705, 101959, 13, 104305, 101317, 97635, 101386, 106908, 103492, 101627, 48842, 101743, 101373, 120629, 320, 72631, 596, 8547, 570, 112943, 103253, 104140, 220, 7743, 101317, 102724, 100705, 64578, 101744, 101774, 65161, 220, 5332, 103065, 104164, 11, 113480, 101194, 220, 17, 11, 24, 106002, 98932, 98583, 382, 112438, 110847, 102724, 100705, 101821, 270, 93804, 29876, 103824, 103253, 104140, 25, 720, 121201, 104620, 100705, 31788, 198, 121201, 104620, 100705, 31074, 7188, 320, 2078, 34, 340, 121201, 104620, 100705, 16376, 51657, 320, 3624, 52, 340, 121201, 104620, 100705, 62140, 21047, 198, 121201, 103078, 103762, 7188, 320, 9027, 18261, 570, 3400, 18261, 101004, 103391, 101226, 115317, 666, 2483, 104392, 328, 96063, 112010, 2405, 41807, 102686, 2665, 22146, 382, 46510, 29876, 102695, 62858, 124970, 101317, 48842, 110847, 102724, 100705, 101821, 270, 93804, 11, 103253, 104140, 100937, 100705, 110847, 116521, 104300, 48842, 100705, 110847, 103847, 103147, 13, 426, 102585 ] ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

8.005778

[ [ 103453, 7188, 29876, 100937, 101126, 101975, 103519, 103147, 100690, 101982, 102984, 48842, 104300, 107992, 2665, 101724, 110720, 13, 33680, 115248, 100533, 11, 114515, 16854, 7188, 11, 100403, 70186, 100557, 105956, 109708, 102724, 100705, 101071, 100790, 101582, 102790, 11, 29876, 101750, 100937, 100524, 119203, 13845, 86242, 72, 100920, 62428, 70186, 102724, 101975, 2211, 106781, 102610, 13, 480, 70711, 9853, 12167, 29876, 100937, 100705, 110847, 103762, 103981, 48842, 101926, 102620, 11, 103253, 104140, 121010, 110847, 105383, 26298, 103981, 7188, 320, 9027, 7098, 2641, 3677, 1163, 6792, 104672, 271, 1016, 309, 105793, 271, 20776, 311, 7188, 4194, 4235, 105186, 105128, 7188, 320, 10462, 27160, 983, 104491, 340, 4605, 287, 7188, 4194, 4235, 666, 19470, 110847, 104620, 100705, 7188, 320, 10462, 27160, 983, 104491, 696, 720, 46451, 34550, 84, 26518, 107559, 108039, 198, 51, 100520, 107559, 108039, 128000, 3052, 39, 111451, 93530, 25826, 102975, 96095, 198, 91, 21349, 18278, 1292, 394, 284, 120164, 102975, 666, 126083, 51427, 101220, 198, 91, 10068, 1292, 394, 284, 4815, 91, 4279, 1292, 394, 284, 666, 126083, 51427, 101220, 198, 91, 31799, 1292, 394, 284, 666, 126083, 51427, 101220, 198, 91, 2217, 11173, 394, 284, 23497, 315, 24067, 15585, 198, 91, 2217, 11647, 266, 394, 284, 33381, 23724, 315, 11977, 315, 24067, 15585, 198, 91, 7891, 1857, 394, 284, 104620, 102975, 111024, 198, 91, 7891, 394, 284, 473, 4168, 101882, 112659, 96095, 666, 126083, 51427, 101220, 198, 91, 5426, 722, 36726, 394, 284, 220, 4194, 90362, 91, 5426, 12277, 49818, 394, 284, 12957, 91, 30336, 12277, 49818, 394, 284, 12957, 91, 2217, 5489, 394, 284, 720, 91, 2472, 62805, 394, 284, 119957, 102984, 60835, 666, 126083, 51427, 101220, 320, 52096, 86242, 8, 70186, 104540, 105676, 114121, 117643, 320, 376, 102723, 340, 91, 2472, 8086, 394, 284, 220, 5154, 1804, 198, 91, 4033, 78676, 394, 284, 124942, 666, 126083, 51427, 101220, 320, 451, 61596, 8, 220, 44301, 21567, 62552, 110204, 119293, 66626, 100944, 102004, 25, 3438, 70711, 35882, 46451, 27160, 983, 8388, 72, 46451, 27160, 983, 423, 11118, 46451, 27160, 983, 816, 1810, 819, 198, 91, 22277, 21833, 394, 284, 109306, 29876, 66626, 89157, 102634, 108272, 100944, 102004, 198, 91, 7097, 1631, 394, 284, 720, 91, 6864, 394, 284, 220, 53182, 198, 91, 14259, 394, 284, 720, 91, 7928, 26019, 394, 284, 102711, 109701, 198, 91, 3109, 1857, 394, 284, 51427, 68757, 101071, 105386, 102171, 103190, 15960, 71348, 102724, 106066, 102489, 7511, 91, 7808, 6240, 16, 394, 284, 102173, 348, 86475, 198, 91, 7808, 1292, 16, 394, 284, 22770, 94937, 49720, 2642, 198, 91, 7808, 6240, 17, 394, 284, 108664, 107912, 102173, 101975, 198, 91, 7808, 1292, 17, 394, 284, 51162, 8170, 75, 10610, 198, 91, 7808, 6240, 18, 394, 284, 110749, 108818, 198, 91, 7808, 1292, 18, 394, 284, 549, 11253, 27973, 388, 942, 198, 91, 39856, 394, 284, 432, 1609, 13752, 351, 102410, 110847, 198, 91, 47059, 1857, 394, 284, 121310, 65161, 198, 91, 9749, 6891, 16, 394, 284, 120164, 102975, 102634, 101071, 198, 91, 9749, 4257, 16, 394, 284, 124382, 101582, 111639, 87915, 198, 91, 9749, 6891, 17, 394, 284, 104540, 105676, 27930, 5730, 198, 91, 9749, 4257, 17, 394, 284, 220, 10125, 22, 4235, 9756, 18, 198, 91, 9749, 6891, 18, 394, 284, 666, 126083, 51427, 101220, 11500, 64, 109051, 198, 91, 9749, 4257, 18, 394, 284, 220, 19, 101420, 220, 806, 100631, 220, 10562, 19, 4235, 339, 100659, 220, 23, 100631, 220, 7028, 20, 198, 91, 9749, 6891, 19, 394, 284, 110965, 63672, 104540, 105676, 114121, 117643, 198, 91, 9749, 4257, 19, 394, 284, 220, 16, 101420, 220, 16, 100631, 220, 2550, 20, 198, 91, 3158, 89780, 17, 394, 284, 220, 10617, 13, 16780, 198, 91, 3158, 48352, 87113, 394, 284, 220, 10005, 13, 24542, 198, 91, 3158, 21048, 394, 284, 220, 2131, 198, 91, 3158, 722, 35815, 394, 284, 220, 16, 469, 806, 198, 91, 3346, 55650, 394, 284, 220, 23, 13, 3080, 198, 91, 7187, 669, 13940, 394, 284, 220, 605, 13, 25210, 13, 23324, 198, 91, 7187, 669, 13940, 14987, 394, 284, 220, 679, 22, 198, 91, 7187, 669, 13940, 21048, 394, 284, 220, 4578, 198, 91, 7187, 54449, 89780, 17, 394, 284, 220, 1313, 198, 91, 7187, 54449, 21048, 394, 284, 220, 5162, 198, 91, 30830, 1106, 4505, 14987, 394, 284, 220, 679, 21, 198, 91, 30830, 75138, 394, 284, 720, 91, 30830, 1106, 4505, 21048, 394, 284, 220, 1958, 198, 91, 30830, 1106, 4505, 5796, 16793, 6388, 394, 284, 220, 2491, 13, 17458, 20121, 198, 91, 30830, 1106, 4505, 5796, 16793, 6388, 21048, 394, 284, 220, 1114, 198, 91, 30830, 54575, 992, 14987, 394, 284, 220, 679, 21, 198, 91, 30830, 54575, 992, 394, 284, 720, 91, 30830, 54575, 992, 21048, 394, 284, 220, 1691, 198, 91, 30830, 54575, 992, 5796, 16793, 6388, 394, 284, 220, 3971, 13, 21006, 20121, 198, 91, 30830, 54575, 992, 5796, 16793, 6388, 21048, 394, 284, 220, 806, 198, 91, 480, 6729, 394, 284, 220, 1591, 11, 15, 720, 91, 480, 6729, 14987, 394, 284, 220, 679, 22, 198, 91, 480, 6729, 16326, 394, 284, 5376, 720, 91, 480, 6729, 7949, 394, 284, 720, 91, 480, 6729, 21048, 394, 284, 720, 91, 12445, 40, 394, 284, 220, 15, 11, 25806, 720, 91, 12445, 40, 14987, 394, 284, 220, 679, 22, 198, 91, 12445, 40, 16326, 394, 284, 5376, 720, 91, 12445, 40, 7949, 394, 284, 720, 91, 12445, 40, 21048, 394, 284, 220, 22, 198, 91, 11667, 394, 284, 97660, 64, 320, 10056, 340, 91, 11667, 4229, 394, 284, 5161, 42, 198, 91, 892, 29792, 394, 284, 88420, 198, 91, 70696, 7062, 394, 284, 489, 16, 198, 91, 70696, 7062, 72872, 394, 284, 489, 17, 198, 91, 20722, 4570, 394, 284, 101058, 198, 91, 2457, 9132, 394, 284, 11120, 5640, 83, 14, 7521, 7521, 320, 1846, 340, 91, 272, 302, 509, 394, 284, 662, 325, 198, 91, 8260, 4229, 394, 284, 489, 2790, 198, 91, 34556, 15340, 21, 1889, 394, 284, 5161, 198, 91, 22705, 62, 15340, 21, 4235, 16, 27731, 17, 394, 284, 720, 91, 22705, 62, 15340, 21, 4235, 16, 27731, 18, 394, 284, 720, 91, 10775, 4229, 394, 284, 720, 91, 7458, 4229, 394, 284, 720, 91, 4579, 18790, 394, 284, 220, 60597, 87567, 328, 75295, 1389, 602, 259, 12770, 320, 10462, 27160, 983, 666, 126083, 51427, 101220, 25, 33680, 666, 126083, 51427, 101220, 1389, 101036, 101227, 101935, 8, 64578, 22770, 94937, 49720, 2642, 100886, 100610, 39015, 98710, 101882, 59801, 101121, 100724, 40586, 102975, 348, 86475, 13, 30556, 109306, 29876, 106066, 102961, 102176, 115884, 105900, 103456, 101764, 111761, 97635, 39015, 102975, 2211, 13, 44301, 120201, 107240, 100690, 119271, 110204, 627, 91, 109602, 100939, 220, 17, 394, 284, 10013, 6354, 86, 14466, 15585, 198, 91, 921, 6792, 104672, 101764, 100939, 394, 284, 119957, 102984, 666, 126083, 51427, 101220, 100790, 101582, 102790, 198, 91, 921, 6792, 104672, 101764, 100939, 220, 17, 394, 284, 720, 91, 30830, 1106, 4505, 394, 284, 720, 91, 3432, 394, 284, 720, 11498, 1016, 126083, 51427, 101220, 320, 11, 1174, 103824, 104491, 25, 24067, 705, 105197, 100944, 102004, 39015, 120164, 102975, 666, 126083, 51427, 101220, 320, 11, 103824, 104491, 25, 15422, 315, 24067, 705, 39015, 100403, 102975, 96095, 100788, 108840, 117643, 11, 13845, 100485, 13106, 109051, 100788, 106983, 109316, 48842, 121498, 35882, 100788, 106983, 108625, 108840, 11, 109035, 100409, 51427, 276, 386, 101765, 101743, 102025, 35137, 417, 1263, 100788, 106983, 31074, 11, 101338, 112976, 102790, 101717, 86952, 13845, 100485, 12371, 87982, 73089, 48842, 12371, 87982, 17816, 113592, 266, 382, 114989, 104160, 102898, 220, 21125, 220, 26281, 4194, 16400, 30556, 11, 666, 126083, 51427, 101220, 39015, 100959, 102610, 103421, 13081, 70186, 104540, 105676, 114121, 117643, 11, 100409, 101724, 66626, 220, 605, 13, 17, 106002, 100524, 11, 70186, 100744, 29876, 104988, 220, 17, 11, 19, 106002, 100524, 64578, 98932, 15473, 100788, 100959, 102507, 662, 666, 126083, 51427, 101220, 29876, 110509, 100447, 101724, 66626, 110099, 100409, 220, 1691, 100524, 123624, 30556, 102241, 86952, 102455, 103498, 101373, 100788, 127483, 106983, 31074, 60835, 103033, 100959, 13, 112000, 101170, 220, 5313, 4, 101724, 66626, 103978, 100788, 65161, 101925, 48842, 101036, 101367, 119121, 390, 66626, 97635, 100770, 102502, 118243, 102481, 102759, 101291, 109701, 101925, 102061, 102250, 106371, 15473, 13, 110749, 109701, 60835, 666, 126083, 51427, 101220, 39015, 53182, 11, 102224, 101004, 39015, 65161, 104290, 102610, 101071, 100959, 13, 107842, 104290, 102610, 103421, 47151, 39015, 83246, 78529, 100409, 101724, 66626, 104988, 220, 2636, 13, 931, 100524, 48842, 220, 7467, 13, 931, 100524, 100790, 105596, 105956, 13, 107842, 104290, 102610, 103421, 13081, 39015, 386, 91856, 100409, 101724, 66626, 104988, 220, 11387, 13, 931, 100524, 48842, 220, 13655, 13, 931, 100524, 100788, 105596, 105956, 13, 114919, 103091, 11, 36992, 5080, 113, 51427, 101220, 39015, 100403, 100959, 105386, 102171, 103190, 15960, 71348, 100409, 100540, 102489, 102724, 106066, 13, 118437, 70343, 102686, 103190, 101135, 60835, 103033, 100959, 102962, 100690, 102173, 101975, 320, 49, 1609, 13752, 351, 8, 102410, 110847, 104140, 220, 18634, 102724, 106329, 13, 118437, 70343, 101091, 101135, 64578, 100932, 100852, 104458, 100944, 105128, 656, 102711, 108818, 102171, 111104, 13, 666, 126083, 51427, 101220, 39015, 100403, 100893, 100959, 102410, 101071, 11, 64578, 107361, 65161, 220, 1691, 111391, 48842, 220, 13754, 109701, 101925, 382, 111221, 100893, 100959, 107535, 103190, 60835, 666, 126083, 51427, 101220, 80226, 101616, 100852, 70186, 100906, 101582, 111639, 220, 717, 13, 42116, 96094, 102724, 102090, 356, 100986, 921, 52680, 51427, 268, 293, 89871, 308, 61357, 87239, 104807, 101582, 111639, 220, 975, 13845, 52680, 112594, 104988, 100403, 101338, 13081, 101724, 66626, 60280, 35102, 1174, 104540, 105676, 21296, 325, 101616, 100852, 48842, 103270, 65161, 115390, 15199, 68, 656, 20842, 101702, 100409, 103353, 116361, 11, 102312, 100944, 48842, 119271, 110204, 60835, 100524, 60280, 35102, 662, 106104, 97635, 103090, 100725, 100769, 101157, 65161, 104540, 105676, 27930, 5730, 104807, 79328, 100959, 60280, 35102, 87239, 100631, 220, 10125, 22, 1174, 117111, 103453, 33254, 100744, 666, 126083, 51427, 101220, 80226, 127570, 105118, 104540, 105676, 87239, 100631, 220, 9756, 18, 13, 108856, 666, 126083, 51427, 101220, 103446, 96095, 87239, 104053, 125948, 105931, 14659, 296, 110940, 100631, 103381, 281, 383, 114215, 104300, 11, 100501, 104470, 100906, 102759, 101291, 106335, 106513, 109278, 125379, 60835, 102140, 48842, 33254, 100744, 54137, 109387, 51427, 27160, 102489, 666, 126083, 51427, 101220, 80226, 64578, 101157, 65161, 11, 103270, 65161, 100403, 70186, 100557, 101582, 102686, 305, 89871, 104504, 101071, 60835, 114121, 117643, 2665, 100725, 100906, 101582, 111639, 220, 972, 13, 445, 3282, 17134, 125379, 60835, 666, 126083, 51427, 101220, 110166, 102507, 103943, 110449, 60280, 35102, 80226, 118243, 118243, 100947, 107327, 70186, 101582, 111639, 220, 972, 48842, 101582, 111639, 220, 777, 13, 452, 91163, 106983, 108625, 60835, 666, 126083, 51427, 101220, 320, 3438, 70711, 35882, 101120, 103091, 705, 436, 101548, 87239, 104359, 51427, 27160, 102975, 115668, 100631, 220, 5245, 24, 13, 27560, 101033, 104854, 105931, 107690, 101708, 666, 126083, 51427, 101220, 103446, 96095, 105003, 101959, 87239, 100631, 220, 10562, 19, 11, 96094, 666, 126083, 51427, 101220, 100886, 100610, 105386, 100930, 50510, 13106, 109051, 63672, 87239, 104540, 105676, 666, 126083, 51427, 101220, 48842, 13106, 109051, 11, 100403, 101609, 105676, 113182, 100683, 100725, 115986, 100631, 220, 7028, 20, 13, 735, 34550, 95676, 100744, 11, 666, 126083, 51427, 101220, 39015, 100403, 100959, 107575, 104800, 11, 104752, 100610, 100944, 96182, 101702, 109621, 54137, 101609, 101325, 87239, 101227, 104800, 48842, 100944, 96182, 103498, 103190, 101227, 104854, 662, 666, 126083, 51427, 101220, 102644, 40586, 109162, 103498, 103190, 70186, 100970, 47151, 104053, 104854, 105931, 101582, 102790, 48842, 125948, 105931, 445, 101697, 11, 116839, 108116, 95676, 100631, 220, 1049, 24, 666, 126083, 51427, 101220, 80226, 103134, 29340, 100827, 101779, 63129, 104003, 100409, 30334, 382, 114366, 96094, 101325, 113209, 125948, 105931, 445, 101697, 11, 666, 126083, 51427, 101220, 96095, 63672, 104540, 105676, 114121, 117643, 87239, 101120, 220, 16, 101420, 220, 16, 100631, 220, 2550, 20, 11, 102241, 80226, 95676, 523, 89039, 103270, 65161, 100403, 65161, 98583, 60835, 30334, 11, 101004, 100558, 95676, 523, 89039, 96095, 63672, 121452, 104164, 101239, 18140, 33254, 100403, 104053, 118826, 102025, 101724, 102339, 13, 666, 126083, 51427, 101220, 100852, 39015, 65161, 98583, 60835, 100937, 101744, 101774, 100558, 104540, 473, 85400, 79, 102173, 11, 107789, 101239, 108840, 117643, 11, 107789, 101239, 113917, 117643, 11, 116170, 101774, 119605, 111105, 115470, 102790, 48842, 116170, 101774, 473, 85400, 79, 101779, 48842, 117478, 102454, 112698, 101831, 320, 53965, 6620, 570, 666, 126083, 51427, 101220, 39015, 100403, 100959, 29876, 108342, 101793, 101831, 101580, 102454, 101373, 11, 102082, 111104, 100403, 102165, 102634, 123752, 104033, 103254, 101975, 106513, 436, 109285, 101036, 105158, 101157, 108840, 117643, 11, 103641, 101386, 102090, 101615, 115340, 117713, 104995, 109591, 105596, 934, 17099 ] ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

5.754117

[ [ 48842, 104300, 107992, 102724, 100705, 113658, 102262, 2665, 100524, 101724, 13, 666, 126083, 51427, 101220, 112278, 103421, 220, 806, 101582, 102790, 100690, 78474, 63672, 104800, 105386, 100906, 100524, 11, 102507, 15473, 100959, 97635, 101004, 106059, 103421, 104893, 101373, 70186, 100937, 112499, 112192, 104893, 102975, 101831, 11, 103519, 103147, 39015, 100690, 101417, 101406, 104053, 103978, 11, 379, 101831, 11, 104300, 107992, 11, 101677, 105159, 101781, 656, 101724, 100930, 11, 106811, 105931, 101793, 101831, 11, 104800, 120629, 11, 101925, 17134, 348, 99310, 48842, 101580, 102454, 390, 100524, 6905, 112367, 103731, 4815, 90573, 105475, 60835, 36992, 5080, 113, 51427, 101220, 70186, 103824, 101798, 104470, 105493, 95676, 103824, 102746, 13, 105322, 103824, 104491, 11, 666, 126083, 51427, 101220, 64578, 105475, 39015, 330, 97971, 3343, 426, 100948, 103824, 102746, 11, 330, 50, 906, 97628, 1, 64578, 110641, 106038, 39015, 330, 108224, 105586, 1, 320, 79, 62605, 25, 330, 99725, 24439, 1891, 119608, 77, 1865, 330, 108224, 105586, 1, 29876, 106038, 473, 11644, 101798, 39015, 330, 51022, 5080, 113, 51427, 101220, 11690, 90573, 105475, 666, 126083, 51427, 101220, 320, 97971, 8, 64578, 296, 44737, 77, 95676, 103824, 103888, 35882, 70186, 101582, 597, 72279, 220, 1114, 102811, 101833, 666, 126083, 51427, 101220, 100558, 100403, 111897, 102975, 93205, 107132, 13, 1183, 100494, 96094, 122334, 102975, 666, 126083, 51427, 101220, 293, 49391, 490, 101681, 11, 103824, 104491, 100852, 102724, 101227, 120864, 100906, 100886, 100610, 95676, 4593, 291, 18615, 13, 24067, 320, 1016, 126083, 51427, 101220, 8, 64578, 104470, 105493, 95676, 100930, 115949, 101700, 95676, 103824, 104491, 106607, 4593, 79083, 78, 117457, 79083, 347, 11, 29876, 104485, 39015, 101724, 4593, 59626, 320, 18788, 94614, 64705, 2483, 117457, 73, 1832, 68800, 11, 20023, 328, 14127, 12558, 570, 112367, 100744, 105493, 112240, 95676, 37326, 263, 11628, 906, 56401, 320, 18788, 94614, 328, 69430, 11, 20023, 17360, 11685, 570, 109796, 666, 126083, 51427, 101220, 320, 13521, 27040, 8, 105475, 39015, 328, 75295, 11, 104485, 39015, 348, 86475, 102975, 60835, 100524, 4593, 59626, 320, 1016, 126083, 51427, 101220, 3677, 37196, 71348, 100540, 60835, 105197, 24067, 320, 1016, 126083, 51427, 101220, 8, 64578, 100886, 100610, 70186, 115816, 105530, 79328, 119271, 110204, 11, 109621, 114571, 103824, 51427, 276, 386, 101765, 48842, 103824, 13106, 109051, 100886, 100610, 95676, 328, 75295, 11, 103824, 13759, 78, 2423, 102143, 95676, 64705, 17545, 2483, 6780, 11, 103824, 39496, 64705, 2483, 117457, 73, 1832, 68800, 11, 48842, 109621, 104097, 109130, 108468, 102339, 101194, 60835, 100403, 66626, 119271, 110204, 5767, 11851, 105201, 100920, 95676, 29014, 2469, 72, 320, 10462, 27160, 983, 121498, 35882, 8, 48842, 19385, 6455, 320, 10462, 27160, 983, 69462, 8, 64578, 100886, 100610, 11, 100557, 105289, 105197, 102127, 64578, 116523, 39015, 101218, 107467, 100725, 100557, 100524, 95676, 79328, 103065, 104164, 11457, 107931, 60835, 16870, 55808, 11, 3216, 501, 438, 320, 339, 84, 101033, 666, 126083, 51427, 101220, 705, 100557, 100524, 64578, 102613, 100725, 100409, 105289, 105197, 42076, 11, 48842, 93530, 74625, 100501, 29876, 101609, 100809, 100690, 102214, 95676, 110204, 100409, 105197, 103824, 104491, 60835, 8524, 320, 45, 6885, 3677, 123135, 100886, 4815, 53, 100988, 107690, 101227, 103475, 122178, 305, 6496, 320, 74, 6292, 101170, 220, 717, 13, 931, 25610, 45, 705, 100557, 100524, 100906, 103451, 80226, 104470, 100906, 1891, 101724, 100725, 79328, 105956, 11457, 107931, 101743, 102761, 101625, 100788, 104807, 106756, 48842, 2522, 9345, 320, 8318, 70343, 31074, 666, 126083, 51427, 101220, 101120, 103091, 570, 104305, 1891, 99227, 105793, 106607, 109387, 107773, 101071, 29876, 115988, 102724, 87239, 104988, 220, 1032, 13, 931, 100631, 102259, 102224, 64578, 103765, 102874, 100788, 105956, 2522, 9345, 13, 108856, 390, 102761, 101625, 97635, 103436, 107327, 87239, 104988, 220, 20, 13, 931, 100631, 25610, 45, 114515, 102746, 48842, 105956, 11457, 107931, 60835, 666, 126083, 51427, 101220, 80226, 29876, 101724, 110720, 13, 356, 100883, 101036, 79328, 1891, 99227, 105793, 106607, 11, 70186, 101227, 101935, 95676, 103078, 114425, 2665, 100725, 100631, 220, 3443, 80226, 29876, 100403, 108342, 103997, 111105, 101580, 106059, 100409, 51427, 27160, 102975, 5034, 116648, 13, 650, 89871, 60280, 35102, 64578, 122018, 100725, 103528, 100906, 103451, 70186, 79328, 103353, 104141, 60835, 5034, 116648, 95676, 100631, 220, 4643, 100558, 70186, 18955, 285, 22425, 73078, 60835, 480, 2192, 355, 1856, 6729, 355, 4621, 1263, 355, 18137, 70186, 1611, 46598, 483, 1880, 10109, 6063, 34106, 60835, 480, 2192, 355, 99045, 9334, 56609, 36891, 382, 41325, 92112, 101582, 111639, 54343, 11, 348, 86475, 102975, 97635, 39015, 100403, 101609, 105676, 326, 86242, 983, 326, 101498, 78, 60835, 79328, 105956, 101781, 102412, 100409, 79328, 101975, 101239, 11, 103704, 104097, 48842, 120599, 102770, 107000, 103147, 11, 99227, 64578, 101609, 101325, 100409, 103321, 74625, 59801, 101121, 60835, 101740, 125953, 29876, 102655, 102686, 104256, 101702, 106844, 13, 120164, 102975, 107757, 15473, 64578, 65161, 103190, 70186, 101227, 103475, 102746, 356, 61357, 11, 104807, 100631, 220, 1041, 15, 48842, 220, 5894, 15, 11, 101239, 101227, 100409, 100769, 101036, 103078, 104300, 13, 42116, 100631, 220, 1041, 15, 99996, 101882, 125953, 104470, 100906, 65161, 101157, 100788, 480, 45326, 15697, 320, 8318, 70343, 16854, 36992, 5080, 113, 51427, 101220, 8, 48842, 100788, 328, 588, 15697, 320, 8318, 70343, 103498, 36992, 5080, 113, 51427, 101220, 570, 23565, 100906, 101774, 101740, 97635, 102127, 18137, 100947, 105931, 272, 109285, 11, 54137, 114520, 117707, 48842, 102127, 99227, 29876, 115871, 100809, 102869, 70186, 105956, 13, 423, 110303, 101227, 60835, 37919, 1414, 31651, 75, 11, 100524, 29876, 100809, 102165, 110509, 101846, 100409, 104020, 436, 34550, 60835, 102665, 39015, 125953, 42446, 42446, 31031, 11, 104470, 100906, 29876, 100557, 109358, 101359, 103254, 101975, 48842, 100944, 102412, 106513, 102610, 11, 51296, 86952, 100403, 102655, 102686, 102455, 103498, 48842, 100403, 103254, 101975, 64578, 101744, 101774, 101036, 342, 86475, 60835, 79328, 102975, 96095, 106284, 104416, 114121, 117643, 382, 126078, 220, 10350, 23, 11, 108604, 112659, 51427, 276, 386, 101765, 24079, 548, 1820, 358, 64578, 100403, 127019, 109878, 114227, 105084, 101702, 63129, 101627, 39015, 100524, 102412, 102481, 36992, 5080, 113, 51427, 101220, 13, 113093, 220, 10125, 22, 523, 116906, 60835, 24079, 548, 1820, 39015, 42446, 60835, 393, 20372, 944, 102123, 114276, 125953, 102412, 102481, 220, 18, 348, 86475, 102975, 51427, 276, 386, 101765, 11, 13106, 109051, 48842, 36992, 5080, 113, 51427, 101220, 11, 65161, 103190, 104540, 105676, 27930, 5730, 382, 126078, 220, 10718, 16, 11, 33254, 96094, 125953, 13826, 74625, 107773, 11, 49720, 402, 8105, 90585, 102123, 114276, 106563, 220, 1114, 104946, 11, 104470, 100906, 101227, 103475, 36992, 5080, 113, 51427, 101220, 348, 19470, 68757, 102123, 103270, 65161, 111897, 102975, 13, 115019, 103446, 104854, 70186, 100937, 104053, 104854, 105931, 101227, 100744, 13, 650, 100988, 100631, 220, 8258, 15, 11, 13081, 100959, 54738, 983, 13845, 41038, 983, 39015, 51427, 276, 386, 101765, 11, 14659, 35882, 48842, 115668, 106335, 100906, 104053, 104620, 104854, 108840, 117643, 320, 8258, 15, 12, 10861, 16, 8, 105084, 86952, 36992, 5080, 113, 51427, 101220, 13, 650, 4381, 35131, 87915, 60835, 666, 126083, 51427, 101220, 103528, 122864, 104174, 14531, 101779, 105386, 51427, 276, 386, 101765, 11, 105386, 115668, 48842, 100970, 105386, 14659, 35882, 13, 113318, 87239, 100631, 220, 8258, 24, 11, 100403, 101740, 125953, 102610, 70186, 105283, 100886, 115668, 39015, 5468, 87479, 104620, 51427, 27160, 104174, 14531, 101779, 105386, 36992, 5080, 113, 51427, 101220, 70186, 107728, 3735, 83, 2979, 320, 8258, 24, 570, 650, 4381, 35131, 87915, 112594, 87239, 100631, 220, 11123, 23, 11, 48842, 105757, 36992, 5080, 113, 51427, 101220, 54137, 101717, 39015, 111897, 102975, 107109, 11, 107327, 103033, 100690, 104359, 51427, 27160, 102975, 115668, 48842, 120164, 102975, 2405, 61357, 13, 107386, 101582, 11, 100944, 105128, 36992, 5080, 113, 51427, 101220, 103610, 75642, 104445, 103190, 86952, 40586, 109162, 125958, 111897, 60835, 103033, 100959, 13, 105375, 112010, 103033, 100959, 87239, 104053, 104854, 105931, 100409, 105386, 115668, 70186, 121750, 115988, 220, 11771, 15, 11, 101325, 101997, 39015, 105386, 36992, 5080, 113, 51427, 101220, 86952, 125501, 107728, 13, 112367, 100744, 11, 115668, 112659, 107844, 649, 62428, 26298, 79, 87239, 104089, 101625, 666, 126083, 51427, 101220, 105322, 104053, 125948, 105931, 426, 105594, 100631, 320, 10005, 21, 482, 220, 10967, 18, 705, 36992, 5080, 113, 51427, 101220, 103446, 104854, 70186, 101609, 105386, 43912, 78, 482, 108361, 482, 115668, 11, 80768, 104174, 100959, 2405, 61357, 100409, 75642, 104445, 125170, 86952, 103367, 393, 26429, 9345, 13, 113318, 100403, 101740, 125953, 102610, 70186, 105283, 100886, 2405, 61357, 39015, 80474, 8105, 104620, 51427, 27160, 80226, 105753, 105931, 104020, 294, 100883, 11, 33254, 101708, 101609, 105386, 118243, 118243, 14531, 436, 3282, 48842, 105386, 36992, 5080, 113, 51427, 101220, 101004, 101058, 118983, 25400, 382, 108178, 104053, 104053, 104854, 105084, 115668, 320, 11256, 23, 4235, 11128, 15, 8, 60835, 125953, 49720, 402, 14767, 11, 119989, 105671, 36992, 5080, 113, 51427, 101220, 342, 101010, 54137, 106844, 436, 101024, 436, 89039, 48842, 101004, 113372, 101627, 64578, 100403, 105956, 103033, 102176, 497, 109306, 100557, 103453, 11, 104053, 104854, 105931, 105084, 452, 17070, 978, 263, 60835, 125953, 49720, 402, 17244, 90585, 101717, 104991, 2665, 36992, 5080, 113, 51427, 101220, 100937, 62428, 26298, 83, 110576, 101194, 13, 3234, 115668, 112659, 90678, 74976, 358, 106563, 100744, 101609, 105676, 100409, 452, 17070, 978, 263, 320, 5245, 22, 705, 105386, 115668, 104174, 119070, 98616, 105386, 36992, 5080, 113, 51427, 101220, 15473, 111437, 124436, 121498, 35882, 11, 48842, 101309, 97635, 107009, 100403, 108442, 109878, 114227, 36992, 5080, 113, 51427, 101220, 107132, 74686, 28119, 326, 53985, 102510, 125953, 49720, 402, 17244, 90585, 87239, 100631, 220, 5245, 24, 13, 650, 100988, 100631, 220, 10562, 18, 11, 666, 126083, 51427, 101220, 103446, 104854, 70186, 101609, 105386, 105084, 108361, 482, 100403, 101609, 105676, 29876, 100970, 115668, 48842, 2405, 61357, 26, 33254, 96094, 111978, 122334, 452, 17070, 978, 263, 102724, 125501, 70186, 107728, 87647, 11, 125953, 35131, 94515, 89907, 101717, 326, 87828, 104854, 100409, 51427, 276, 386, 101765, 13, 105322, 124254, 118259, 735, 13327, 100631, 220, 10562, 19, 51427, 276, 386, 101765, 104470, 113246, 101058, 20921, 99310, 13106, 109051, 80768, 102951, 86952, 101338, 103033, 650, 31215, 20372, 944, 60835, 36992, 5080, 113, 51427, 101220, 13, 108856, 13106, 109051, 115884, 105900, 107535, 103190, 33254, 100744, 11, 70186, 100403, 104053, 104854, 116200, 112437, 72, 48842, 105798, 100558, 54137, 102510, 113918, 125953, 35131, 94515, 89907, 80226, 65161, 63129, 70186, 100769, 50510, 113246, 65161, 103190, 101609, 105676, 36992, 5080, 113, 51427, 101220, 1389, 13106, 109051, 100920, 70186, 100744, 13106, 109051, 103610, 39015, 100403, 348, 86475, 102975, 107000, 103147, 13, 42116, 104053, 104854, 105931, 107690, 101708, 97635, 35131, 94515, 89907, 80226, 104752, 100610, 100403, 100944, 96182, 107575, 104800, 101071, 114511, 11, 39015, 101126, 102915, 2665, 108342, 103498, 103190, 60835, 36992, 5080, 113, 51427, 101220, 13, 120029, 101935, 220, 1049, 100631, 107575, 104800, 60835, 36992, 5080, 113, 51427, 101220, 101624, 95676, 101227, 101643, 97635, 2665, 100725, 103091, 39015, 107535, 101071, 100790, 101887, 101582, 102790, 101120, 103091, 382, 35, 40492, 66626, 36992, 5080, 113, 51427, 101220, 102502, 106003, 436, 26298, 83, 70186, 101582, 111639, 1630, 5511, 11, 95676, 100631, 220, 10005, 15, 100725, 220, 9741, 15, 101724, 66626, 80226, 102502, 125373, 112559, 13, 452, 6151, 41038, 84, 100524, 100788, 105956, 111865, 124990, 11, 39015, 105201, 110720, 7933, 51583, 60835, 105206, 101338, 100524, 101724, 11, 54137, 29876, 100769, 100724, 11, 74686, 100725, 100425, 109168, 308, 89702, 48842, 116653, 52154, 120252, 13, 110780, 101582, 70186, 101227, 101935, 95676, 220, 9741, 15, 100725, 220, 7529, 15, 80226, 29876, 100403, 104053, 1891, 101724, 102610, 100920, 102171, 105334, 39015, 100725, 106035, 13, 386, 100784, 108427, 103453, 96094, 104053, 112874, 107303, 63129, 101378, 104470, 15199, 93877, 104878, 102454, 100683, 36992, 5080, 113, 51427, 101220, 11, 100524, 101724, 105389, 109427, 96095, 63672, 87239, 65161, 104290, 48842, 101744, 101774, 79328, 63129, 106781, 103254, 101975, 102171, 104485, 13, 108418, 104053, 101359, 107303, 60835, 100557, 100524, 101036, 102171, 104485, 103254, 101975, 102250, 15199, 68, 294, 42703, 64, 112545, 15473, 64578, 110672, 111437, 87239, 100631, 220, 7529, 22, 11, 33254, 100744, 39015, 100769, 115949, 65161, 103190, 102489, 100447, 106066, 110847, 48842, 102975, 96095, 97635, 103270, 65161, 101724, 102171, 382, 108178, 101582, 111639, 30388, 11, 36992, 5080, 113, 51427, 101220, 103498, 103190, 70186, 125948, 105931, 101582, 102790, 103421, 101071, 48842, 125948, 105931, 101582, 102790, 103421, 47151, 11, 116839, 108427, 39015, 100930, 103498, 103190, 60835, 102975, 96095, 97635, 70186, 125948, 105931, 101582, 102790, 103421, 47151, 103610, 101717, 100947, 105931, 272, 109285, 13, 666, 126083, 51427, 101220, 101959, 103799, 103498, 103190, 70186, 104053, 125948, 105931, 445, 101697, 48842, 2665, 100725, 101120, 103091, 11, 103610, 54137, 39015, 65161, 98583, 60835, 100403, 101609, 105676, 105386, 100930, 102176, 13, 42116, 125948, 105931, 101582, 102790, 103421, 47151, 11, 114492, 105493, 102312, 103731, 113207, 102536, 54137, 100947, 259, 89702, 109725, 11, 666, 126083, 51427, 101220, 80226, 29876, 100540, 101580, 102454, 104710, 63129, 101378, 103641, 101386, 2665, 63129, 104053, 115949, 103933, 103559, 114121, 117643, 48842, 102481, 101582, 103270, 65161, 100403 ] ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

8.969368

[ [ 70186, 100557, 102975, 96095, 126824, 29876, 101071, 100790, 101582, 102790, 87239, 121750, 115988, 220, 5162, 15, 13, 108856, 79328, 108342, 101793, 101831, 101419, 104470, 100906, 117707, 104504, 11, 666, 126083, 51427, 101220, 117111, 80226, 100947, 113030, 74625, 87239, 121750, 115988, 220, 4468, 15, 102241, 103610, 102962, 100690, 79328, 102975, 96095, 112278, 100906, 100690, 102214, 305, 101697, 123752, 60835, 100524, 101724, 382, 119733, 220, 777, 101420, 220, 717, 100631, 220, 6393, 21, 11, 36992, 5080, 113, 51427, 101220, 96095, 63672, 104540, 473, 85400, 79, 102173, 11, 101420, 220, 806, 100631, 220, 6280, 24, 96095, 63672, 124254, 101975, 296, 103823, 102090, 101781, 656, 114121, 117643, 320, 36, 59512, 570, 720, 35, 110303, 2463, 41038, 84, 125953, 49720, 402, 355, 650, 320, 7028, 22, 12, 6280, 15, 705, 101793, 101831, 101580, 102454, 101925, 17134, 348, 99310, 104403, 105389, 29876, 13, 36992, 5080, 113, 51427, 101220, 102082, 111104, 101624, 103498, 103190, 70186, 125948, 105931, 101582, 102790, 103421, 358, 13, 108418, 103528, 107109, 11, 36992, 5080, 113, 51427, 101220, 103610, 102644, 40586, 109162, 103498, 103190, 70186, 125948, 105931, 101582, 102790, 103421, 8105, 13, 110109, 111229, 102171, 103254, 101975, 101609, 103799, 121107, 102655, 104837, 101227, 110749, 108818, 3700, 1708, 7006, 43122, 263, 320, 7285, 17, 12, 6393, 21, 705, 110749, 108818, 72277, 9939, 35103, 320, 6393, 21, 12, 220, 5162, 24, 570, 112698, 101831, 103610, 101580, 102454, 48842, 105158, 101157, 36992, 5080, 113, 51427, 101220, 101959, 103799, 64578, 100316, 983, 107780, 13, 107386, 102536, 11, 104837, 101227, 110749, 108818, 507, 385, 69, 11165, 2727, 320, 5162, 24, 12, 220, 4468, 24, 705, 105186, 105128, 101058, 119141, 100906, 348, 45006, 37028, 104053, 24040, 114884, 11640, 101170, 101793, 101831, 482, 103254, 101975, 382, 126078, 220, 4468, 21, 11, 281, 383, 101677, 102711, 102123, 121107, 102655, 13, 113093, 220, 3753, 17, 11, 507, 13, 11165, 2727, 103270, 86952, 102644, 101774, 110749, 108818, 13, 11165, 2727, 100947, 43912, 76, 104180, 100631, 220, 3753, 21, 11, 25913, 959, 22770, 31031, 103270, 65161, 100524, 102442, 103562, 13, 113093, 220, 2550, 16, 11, 109278, 103919, 281, 383, 101677, 102711, 11, 22770, 45592, 83, 11, 103270, 65161, 110749, 108818, 13, 113093, 220, 2550, 19, 11, 110109, 111229, 102171, 116238, 101975, 103270, 86952, 121107, 102655, 13, 113093, 220, 2550, 20, 11, 36992, 5080, 113, 51427, 101220, 96095, 63672, 104540, 15960, 26298, 79, 114121, 117643, 11, 102241, 95676, 523, 89039, 93530, 74625, 100769, 100886, 100610, 101239, 18140, 100631, 220, 2550, 24, 382, 108178, 100557, 121750, 111639, 105798, 102224, 11, 666, 126083, 51427, 101220, 80226, 103270, 65161, 100403, 102975, 96095, 105206, 105765, 100690, 103353, 102061, 656, 123095, 117495, 63672, 110720, 220, 71780, 220, 100943, 87239, 102975, 96095, 97635, 26, 70186, 100631, 220, 679, 18, 11, 100524, 9637, 118259, 101624, 103456, 220, 868, 4, 101724, 66626, 666, 126083, 51427, 101220, 98932, 15473, 100788, 100959, 102507, 13, 423, 64875, 100524, 63672, 110720, 80226, 51296, 86952, 100557, 270, 54161, 102004, 93205, 100690, 103254, 101975, 13, 452, 6151, 41038, 84, 100930, 107780, 293, 89416, 102686, 80226, 112545, 15473, 29876, 101609, 100809, 100725, 100557, 100524, 63672, 110720, 220, 70186, 100744, 29876, 104053, 293, 89416, 781, 50986, 100683, 53182, 100631, 220, 679, 18, 112545, 15473, 33254, 101615, 100769, 100403, 100524, 63672, 110720, 426, 71780, 125070, 121659, 72552, 100947, 293, 102675, 112594, 104458, 100403, 98583, 106642, 104180, 13, 114157, 101702, 1343, 1832, 100409, 100557, 100930, 104141, 293, 89416, 102686, 97635, 11, 121514, 111229, 102171, 666, 126083, 51427, 101220, 11, 100403, 121514, 101702, 103190, 29876, 103190, 101317, 105084, 100524, 63672, 110720, 11, 80226, 113209, 112010, 79328, 100944, 96182, 105084, 63672, 110720, 60835, 100501, 11, 70186, 96094, 281, 383, 101702, 103190, 112334, 107092, 102510, 115009, 2665, 100930, 103938, 104800, 120629, 101120, 107844, 102502, 656, 100557, 100944, 96182, 101793, 101831, 103254, 101975, 72732, 326, 103598, 60835, 100944, 105128, 103498, 104832, 662, 666, 126083, 51427, 101220, 80226, 100947, 102620, 105579, 115116, 308, 41038, 104458, 104053, 24040, 114884, 11640, 101170, 1891, 110720, 114121, 117643, 100631, 220, 679, 20, 11, 103578, 106860, 97635, 107690, 101708, 101004, 80226, 113246, 100944, 105128, 100959, 97635, 101058, 270, 101340, 121445, 101194, 79328, 101050, 100743, 100690, 63672, 110720, 382, 105186, 102412, 4815, 1016, 126083, 51427, 101220, 29876, 125780, 103919, 103704, 101126, 101764, 1754, 101325, 100827, 100409, 103321, 101157, 65161, 101485, 15960, 71348, 101135, 60835, 103033, 100959, 11, 103253, 104140, 25, 106422, 104141, 60835, 100944, 105128, 39204, 51427, 89416, 103704, 121139, 101740, 39204, 51427, 89416, 103704, 100690, 102655, 101781, 656, 102911, 106333, 39204, 109903, 116471, 101764, 100690, 102655, 101781, 656, 119271, 108283, 34811, 47, 2481, 942, 25, 12086, 13, 220, 1987, 4235, 1272, 382, 1016, 126083, 51427, 101220, 39015, 100403, 100893, 100959, 105386, 102171, 103190, 15960, 71348, 100409, 650, 4381, 22770, 94937, 49720, 2642, 39015, 100524, 112278, 100906, 100893, 100959, 107976, 95676, 100631, 220, 4468, 18, 11, 5609, 40586, 109162, 60835, 102975, 348, 86475, 99227, 102790, 103782, 70186, 79328, 101774, 101329, 116653, 114849, 48842, 102724, 104160, 13, 4194, 85237, 101050, 100743, 60835, 106422, 104141, 105186, 105128, 100631, 220, 4468, 19, 11, 100893, 125953, 54137, 29876, 103938, 103475, 102655, 102686, 100944, 102412, 100944, 102004, 102176, 13, 4194, 80859, 6496, 125953, 39015, 100524, 106335, 110641, 117065, 102173, 101975, 62858, 100631, 11, 4194, 101744, 101774, 107789, 101239, 109082, 25826, 102127, 103475, 100409, 110749, 108818, 48842, 105186, 105128, 11, 102171, 111104, 79328, 104053, 117065, 60835, 107789, 101239, 107081, 103357, 452, 3427, 38159, 103115, 320, 46451, 27160, 983, 666, 126083, 51427, 101220, 25, 549, 376, 12732, 77, 67997, 303, 268, 8, 48842, 39015, 100524, 101959, 101627, 102975, 106831, 60835, 79328, 102724, 119678, 100959, 102507, 111447, 101833, 666, 126083, 51427, 101220, 101004, 100558, 107827, 112917, 102975, 106831, 111447, 15473, 100959, 102507, 13, 118420, 3427, 53651, 15473, 11, 100893, 650, 4381, 101004, 39015, 100524, 104551, 104529, 26883, 102262, 2665, 100557, 123730, 121553, 101386, 100893, 100959, 100788, 100959, 102507, 48842, 101959, 125168, 102054, 100959, 102507, 100409, 101821, 101359, 39015, 102171, 100893, 13, 114031, 100557, 103562, 101615, 100944, 102004, 11, 650, 4381, 48842, 100557, 65161, 98583, 101419, 70186, 96095, 105648, 112659, 96095, 117155, 100883, 100932, 100852, 100403, 122775, 79328, 103562, 101615, 102724, 104160, 54137, 100944, 102004, 101419, 100970, 4194, 79920, 70186, 100959, 48842, 102507, 100959, 382, 34, 39815, 100809, 103190, 101135, 39015, 432, 1609, 13752, 351, 320, 83, 96063, 102173, 101975, 8, 99227, 29876, 100403, 110847, 103253, 104140, 220, 18634, 102724, 106329, 48842, 64578, 115270, 220, 19, 100631, 100403, 103528, 11, 112278, 100906, 104458, 100403, 108664, 107912, 13, 104305, 104053, 105596, 106201, 111752, 120455, 58910, 101744, 101774, 125780, 100631, 100403, 103528, 11, 87239, 101120, 102171, 113660, 103421, 47151, 60835, 101420, 126549, 13, 109903, 101135, 29876, 100540, 64578, 779, 50986, 111018, 104458, 100944, 105128, 101535, 104458, 65161, 98583, 60835, 432, 1609, 13752, 351, 13, 104305, 65161, 98583, 60835, 432, 1609, 13752, 351, 64578, 115270, 102123, 101036, 101126, 102915, 120455, 38159, 104160, 105397, 104097, 2665, 100403, 103562, 103475, 125780, 100631, 13, 104305, 103919, 103704, 101126, 101764, 99227, 29876, 100540, 64578, 104115, 102951, 103914, 106059, 64578, 100930, 101239, 109146, 104458, 432, 1609, 13752, 351, 382, 1163, 100474, 105128, 666, 126083, 51427, 101220, 1754, 118505, 40586, 109162, 101091, 101135, 11, 103253, 104140, 100403, 101740, 102711, 108818, 220, 120455, 58910, 107166, 103562, 101535, 113658, 103562, 104458, 108664, 107912, 432, 1609, 13752, 351, 320, 67, 103416, 100790, 100403, 104053, 105118, 114383, 104458, 79328, 65161, 98583, 60835, 432, 1609, 13752, 351, 8, 220, 48842, 79328, 101625, 104788, 39204, 64578, 107166, 103562, 101535, 100947, 829, 119332, 113346, 102962, 87239, 102961, 100743, 60835, 102711, 108818, 13, 4194, 1163, 100474, 105128, 39015, 101126, 100809, 101091, 101135, 105848, 101373, 48842, 107892, 108151, 103562, 100690, 105329, 101091, 100801, 60835, 102140, 102259, 102173, 101975, 382, 34, 39815, 100809, 101821, 101135, 60835, 666, 126083, 51427, 101220, 103313, 101887, 107535, 103190, 100409, 102173, 101975, 11, 100944, 105128, 48842, 79328, 101126, 100809, 101091, 100944, 100893, 100959, 13, 650, 2192, 109162, 60835, 100769, 104581, 106736, 101135, 101226, 100690, 101135, 103704, 54137, 64578, 100932, 100852, 104458, 79328, 120599, 102770, 26, 100920, 104115, 87239, 100744, 11, 107789, 101239, 108361, 103704, 105470, 15473, 100557, 102339, 104416, 54137, 116275, 113246, 100690, 101624, 100827, 101135, 13, 126661, 102770, 54137, 100947, 116275, 113246, 104458, 102881, 104097, 101135, 11, 116839, 108116, 101176, 29876, 102620, 105579, 382, 124412, 36992, 5080, 113, 51427, 101220, 29876, 103731, 113303, 63129, 104003, 11, 110939, 39015, 102790, 102911, 106333, 48842, 105478, 100970, 79328, 59801, 101121, 103467, 29876, 100540, 104581, 79328, 103353, 104141, 60835, 63129, 102915, 100893, 100959, 11, 109621, 114571, 100403, 66626, 106844, 101317, 100827, 103519, 103147, 13, 109306, 100403, 100524, 102176, 101058, 122087, 101226, 656, 100683, 104372, 104445, 104581, 100403, 103353, 104141, 101071, 100743, 48842, 101004, 54137, 101058, 101291, 103492, 105676, 106831, 382, 111221, 101309, 103519, 103147, 101419, 39015, 102165, 102634, 79328, 104551, 9781, 98583, 320, 2925, 29088, 1543, 570, 109946, 100524, 97635, 101677, 105159, 102655, 104033, 60835, 59801, 101121, 70186, 96094, 100501, 101959, 114762, 100409, 100944, 102655, 48842, 101036, 117275, 100769, 62428, 101091, 79328, 103704, 104097, 100809, 102869, 13, 109796, 63129, 101724, 96094, 2665, 103456, 100947, 101702, 105191, 54137, 63129, 101743, 29876, 100540, 103765, 100725, 104551, 9781, 98583, 11, 100557, 100524, 100770, 101309, 9781, 101317, 100827, 97635, 48842, 29876, 100540, 51296, 101615, 100769, 15473, 102259, 120599, 102770, 100409, 101821, 101359, 39015, 103731, 104820, 103519, 103147, 13, 111778, 101227, 100501, 101004, 29876, 103562, 101615, 107072, 101779, 100409, 79328, 101126, 100809, 100893, 100959, 80768, 118505, 104470, 103578, 101157, 70186, 105167, 3355, 60835, 100501, 11, 62428, 101091, 79328, 63129, 101779, 101982, 104672, 48842, 105470, 15473, 100557, 101218, 106066, 104115, 102951, 103704, 104097, 13, 121777, 106811, 100557, 104551, 9781, 98583, 100690, 103704, 101135, 101717, 29876, 104551, 9781, 98583, 60835, 100524, 102673, 102143, 11, 104551, 9781, 98583, 100690, 106590, 991, 11, 104551, 9781, 98583, 100690, 102655, 104800, 120629, 48842, 79328, 104551, 9781, 98583, 100690, 101909, 103147, 101702, 105191, 102171, 983, 114227, 48842, 101909, 103147, 101702, 105191, 102481, 79328, 103065, 1910, 71, 103628, 103578, 107992, 382, 108178, 100403, 101227, 101935, 105581, 666, 126083, 51427, 101220, 80226, 64578, 104581, 100558, 39015, 100403, 100959, 101724, 102171, 103254, 101975, 124899, 101157, 48842, 100937, 100524, 101036, 112334, 107092, 100788, 114121, 117643, 80226, 104581, 36992, 5080, 113, 51427, 101220, 100558, 39015, 100403, 115248, 100533, 124899, 101157, 2665, 100403, 330, 444, 102761, 103421, 13081, 498, 101325, 100827, 104807, 102171, 104485, 103254, 101975, 48842, 101793, 101831, 101925, 101317, 382, 53, 100988, 101120, 220, 975, 101420, 220, 24, 100631, 220, 1049, 18, 11, 100769, 105470, 101239, 18140, 87239, 100886, 100610, 100724, 102881, 120070, 102975, 96095, 64578, 106329, 102961, 100683, 36992, 5080, 113, 51427, 101220, 13, 109946, 100524, 11640, 53651, 116653, 18140, 80226, 110516, 101582, 320, 83, 110042, 104097, 74686, 115270, 25, 220, 5932, 11, 17, 13689, 101325, 101997, 115270, 111752, 25, 220, 3487, 11, 16, 4, 105084, 11, 220, 3174, 11, 23, 4, 109146, 11, 220, 17, 11, 16, 4, 114383, 109938, 48842, 220, 15, 11, 16, 4, 114383, 54137, 100827, 104097, 4390, 110109, 100944, 102412, 48842, 79328, 104053, 115270, 111752, 720, 41325, 101170, 111229, 102171, 116238, 101975, 666, 126083, 51427, 101220, 80226, 107827, 100403, 40586, 109162, 102171, 103919, 70186, 108342, 100944, 102412, 666, 126083, 51427, 101220, 107976, 95676, 100631, 220, 7529, 22, 11, 101227, 101643, 100557, 100524, 101724, 102171, 103254, 101975, 80226, 124828, 100743, 64578, 104995, 104504, 60835, 102140, 48842, 100557, 100524, 101359, 107303, 112334, 107092, 65161, 103190, 121514, 127019, 107000, 60835, 100501, 13, 735, 34550, 95676, 100631, 220, 7285, 17, 101833, 103091, 11, 115816, 105530, 79328, 100944, 105128, 118505, 102655, 100788, 666, 126083, 51427, 40, 87982, 103467, 107892, 100930, 26883, 108233, 60835, 110109, 111229, 102171, 116238, 101975, 13, 105322, 79328, 104053, 105596, 106201, 111752, 107976, 95676, 33254, 101582, 104854, 8105, 2665, 101833, 103091, 11, 79328, 121514, 127019, 112334, 104832, 99227, 29876, 220, 20, 103528, 106059, 104602, 66626, 121436, 70186, 102173, 101975, 80768, 29876, 100540, 103190, 65161, 100944, 105128, 271, 108178, 101194, 220, 1135, 100631, 11, 666, 126083, 51427, 101220, 99227, 29876, 220, 20, 121514, 101609, 103799, 101627, 64578, 104602, 66626, 114383, 115270, 80768, 125170, 64578, 121436, 70186, 102173, 101975, 482, 100744, 39015, 110109, 111229, 102171, 116238, 101975, 11, 110109, 111667, 77, 107575, 11, 110109, 102746, 102748, 11, 110109, 114278, 101724, 350, 62131, 656, 48842, 110109, 356, 100951, 107092, 2001, 102259, 96094, 110109, 1630, 29024, 103270, 65161, 121514, 103421, 220, 21, 29876, 121436, 70186, 102173, 101975, 33254, 104053, 115270, 111752, 100631, 220, 3753, 23, 13, 105322, 104053, 115270, 111752, 100631, 220, 2550, 16, 11, 70186, 96094, 110109, 1630, 29024, 100947, 107327, 121436, 11, 101105, 86952, 29876, 47151, 121514, 93205, 125170, 64578, 121436, 103528, 100906, 103451, 25, 110109, 111229, 102171, 114956, 523, 90739, 104300, 48842, 110109, 111229, 102171, 386, 53047, 13, 27560, 101033, 115270, 111752, 100631, 220, 2550, 19, 80226, 103492, 104416, 100930, 103270, 86952, 60835, 110109, 1630, 29024, 48842, 100930, 274, 116021, 102510, 60835 ] ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

8.255785

[ [ 110109, 111229, 102171, 93205, 13, 386, 109285, 2665, 100725, 96094, 104053, 115270, 111752, 87239, 100631, 220, 679, 15, 93205, 29876, 100403, 121514, 103421, 259, 36334, 11, 121514, 111229, 102171, 666, 126083, 51427, 101220, 11, 125170, 64578, 121436, 70186, 432, 1609, 13752, 351, 6905, 108178, 104053, 108135, 103517, 106201, 111752, 100631, 220, 679, 19, 11, 220, 19, 121514, 103498, 104832, 39015, 110109, 111667, 77, 107575, 11, 110109, 114278, 101724, 350, 62131, 656, 11, 110109, 102746, 102748, 48842, 110109, 111229, 102171, 114956, 523, 90739, 104300, 80226, 101959, 103799, 100827, 65161, 100403, 101609, 105676, 112334, 104832, 29876, 105197, 105475, 39015, 104540, 105676, 666, 126083, 51427, 101220, 11, 100409, 15960, 111261, 29876, 103528, 103421, 13081, 101609, 101959, 110516, 104033, 104053, 115270, 111752, 320, 5080, 252, 47151, 104053, 115270, 111752, 102259, 100744, 11, 104540, 105676, 97635, 103467, 80226, 104854, 110516, 48842, 65161, 103190, 64578, 100944, 105128, 570, 121524, 111317, 121807, 86952, 11, 13081, 121514, 102610, 101071, 60835, 281, 383, 112334, 107092, 320, 41325, 101170, 111229, 102171, 116238, 101975, 11, 110109, 1630, 29024, 11, 48842, 110109, 356, 100951, 107092, 8, 86952, 103446, 96095, 104854, 102090, 115270, 111752, 97635, 103313, 101887, 107535, 103190, 107556, 54137, 101717, 101609, 105676, 100409, 103321, 100558, 104053, 115270, 111752, 100631, 220, 679, 15, 13, 114031, 15473, 103381, 112334, 104832, 101717, 29876, 110109, 111229, 102171, 666, 126083, 51427, 101220, 39015, 121514, 106862, 104832, 11, 121514, 97635, 54137, 103190, 101609, 105676, 100409, 103938, 103475, 121514, 102176, 101419, 13, 121444, 101997, 105976, 104053, 13081, 121514, 112334, 107092, 102610, 101071, 80226, 113030, 74625, 104540, 105676, 666, 126083, 51427, 101220, 11, 100409, 101359, 103147, 39015, 220, 11068, 121436, 48842, 220, 9335, 121436, 13, 110109, 111229, 102171, 666, 126083, 51427, 101220, 101627, 64578, 100930, 220, 114884, 105354, 102610, 125373, 112559, 779, 100409, 104053, 115270, 111752, 102259, 100744, 96094, 125170, 64578, 220, 2491, 121436, 101717, 86952, 13, 4194, 28588, 21042, 1050, 99936, 83, 11, 110749, 108818, 119141, 103562, 102962, 104540, 105676, 666, 126083, 51427, 101220, 11, 80226, 54137, 100540, 29876, 103562, 103475, 103421, 13081, 101609, 101959, 118505, 102655, 13, 650, 100988, 101120, 220, 18, 101420, 220, 605, 11, 102665, 64578, 104115, 101582, 104458, 50002, 445, 3029, 69, 1055, 11, 100524, 80226, 65161, 103190, 100403, 100944, 105128, 119293, 66626, 103253, 104140, 79328, 65161, 98583, 60835, 121514, 111229, 102171, 116238, 101975, 48842, 110109, 1630, 29024, 382, 51, 72279, 104097, 111752, 2463, 74686, 115270, 111752, 100788, 666, 126083, 51427, 101220, 106019, 106019, 101373, 779, 100409, 102673, 104628, 102975, 101831, 13, 386, 100784, 108116, 80226, 29876, 100930, 107221, 103775, 70186, 100403, 111802, 121750, 103475, 74625, 11, 100557, 104053, 115270, 111752, 105798, 102224, 80226, 107878, 101627, 102833, 104097, 111752, 2463, 74686, 115270, 101120, 107844, 102502, 320, 1490, 13, 806, 4, 70186, 100631, 220, 1049, 17, 11, 220, 5932, 13, 1484, 4, 87239, 100631, 220, 1049, 21, 11, 220, 5833, 13, 5495, 4, 70186, 100631, 220, 679, 15, 48842, 220, 5313, 13, 5932, 70186, 100631, 220, 679, 19, 13, 104305, 100944, 102412, 96095, 666, 126083, 51427, 101220, 106019, 101627, 64578, 100930, 25826, 108546, 101373, 95676, 79328, 63129, 101724, 107976, 95676, 100557, 100631, 220, 5162, 15, 13, 107386, 102536, 11, 104246, 100447, 25826, 108546, 100744, 80226, 103775, 118243, 11, 48842, 100852, 102250, 100788, 104246, 110099, 101194, 109130, 107976, 779, 100409, 79328, 100959, 54738, 983, 13845, 41038, 983, 60280, 35102, 382, 104570, 107361, 101091, 100944, 4815, 53, 86475, 102975, 97635, 64578, 107361, 65161, 220, 1691, 111391, 320, 75, 15492, 570, 104305, 103562, 101615, 103391, 101226, 100893, 100959, 100788, 101386, 103367, 64578, 102634, 111739, 320, 6292, 100784, 102711, 15960, 71348, 8, 320, 1974, 939, 3029, 85, 7113, 8, 48842, 100944, 102655, 101386, 103367, 320, 44283, 4511, 79855, 3833, 325, 8, 62428, 101091, 382, 110798, 104208, 102634, 36992, 5080, 113, 51427, 101220, 64578, 107361, 15473, 65161, 13081, 105956, 320, 8329, 9783, 277, 8, 39015, 480, 45326, 15697, 11, 328, 588, 15697, 48842, 8170, 81, 1974, 13, 650, 89871, 105283, 100886, 103421, 101821, 60835, 666, 126083, 51427, 101220, 2665, 100725, 100631, 220, 5245, 24, 39015, 35137, 3751, 1974, 11, 102962, 100959, 121498, 35882, 101120, 103091, 13, 33680, 100725, 104053, 109358, 101359, 101091, 100944, 656, 87779, 51715, 268, 84519, 47628, 104878, 101091, 100631, 220, 9892, 19, 79328, 105956, 97635, 64578, 107361, 39015, 220, 914, 103065, 104164, 320, 1974, 4991, 391, 696, 1691, 102410, 101740, 101091, 100944, 100944, 102004, 320, 75, 15492, 8, 54137, 103313, 101887, 117114, 100827, 100409, 79328, 103065, 104164, 100790, 39015, 1473, 1016, 49391, 104290, 102610, 101071, 39015, 102711, 109701, 53182, 13, 104305, 65161, 104290, 100809, 102869, 101419, 39015, 83246, 78529, 11, 386, 91856, 11, 549, 60643, 6181, 11, 6074, 3029, 10194, 11, 650, 2357, 3751, 3870, 82, 11, 35137, 265, 15222, 48842, 8170, 48372, 3029, 10194, 382, 45, 116612, 105976, 36992, 5080, 113, 51427, 101220, 29876, 100540, 64578, 107361, 15473, 100724, 105956, 106983, 31074, 109708, 101724, 110720, 48842, 101580, 102454, 100937, 101194, 39015, 105956, 114515, 108840, 101750, 106844, 101724, 110720, 13, 21402, 70343, 108840, 104470, 100906, 95676, 106983, 127845, 60835, 79328, 65161, 104290, 23768, 75, 77241, 11, 23718, 359, 48842, 95689, 85, 273, 11, 104988, 100790, 102761, 109035, 328, 3029, 1126, 5721, 77, 5364, 6347, 13, 650, 100988, 104988, 100631, 220, 7028, 15, 114515, 108840, 36992, 5080, 113, 51427, 101220, 104470, 100906, 64578, 104003, 114980, 13, 105322, 101227, 101935, 95676, 100631, 220, 7028, 22, 100725, 220, 7285, 22, 102761, 119731, 666, 126083, 51427, 101220, 64578, 103933, 103559, 104807, 27973, 483, 5721, 77, 48842, 480, 33351, 344, 548, 108095, 80768, 112010, 104504, 63129, 104053, 104003, 114980, 97635, 382, 125059, 101781, 103391, 101226, 100788, 101386, 124416, 103254, 64578, 101909, 107361, 65161, 220, 17, 101386, 25, 79328, 103562, 101615, 60835, 124416, 103254, 100558, 102165, 102634, 101317, 100705, 11, 105028, 101615, 103254, 101975, 11, 115340, 117713, 100524, 72552, 48842, 106590, 991, 48842, 114211, 112214, 101126, 102915, 60835, 124416, 103254, 102962, 100690, 103562, 101615, 60835, 220, 17212, 124416, 320, 74, 20372, 359, 705, 79328, 103065, 104164, 113030, 102759, 104771, 101329, 60835, 105389, 124416, 103254, 100403, 100558, 102165, 102634, 379, 101831, 11, 103115, 93530, 70186, 105956, 11, 102442, 106267, 102061, 103115, 93530, 29775, 102962, 100690, 102655, 103782, 60835, 79328, 101975, 101239, 103367, 320, 1974, 267, 287, 570, 445, 52649, 103254, 48842, 79328, 101975, 101239, 103367, 102143, 106796, 78474, 63672, 11, 79328, 106701, 78474, 101419, 48842, 103427, 101386, 102975, 96095, 80768, 26883, 102262, 2665, 79328, 102425, 100801, 97635, 382, 119989, 105671, 4815, 50302, 53985, 101135, 64578, 100932, 62428, 100788, 666, 126083, 51427, 101220, 104458, 79328, 101126, 100809, 60835, 100944, 105128, 13, 356, 102137, 104180, 666, 126083, 51427, 101220, 39015, 101126, 100809, 60835, 105186, 105128, 101609, 100809, 100725, 79328, 103357, 101218, 60835, 106642, 104180, 13, 445, 93402, 101406, 118781, 452, 6151, 26298, 76, 102173, 96095, 39015, 100403, 102410, 101740, 98154, 102975, 96095, 105003, 102962, 102106, 356, 102137, 328, 17099, 13, 1183, 54161, 103562, 60835, 116471, 100809, 1556, 119440, 666, 126083, 51427, 101220, 39015, 79328, 102425, 100801, 105084, 13845, 11644, 74686, 26298, 79, 11, 105084, 24040, 114884, 105900, 11, 101677, 105159, 15960, 71348, 101135, 48842, 101677, 105159, 100524, 101724, 13, 4194, 117899, 3029, 5544, 959, 3647, 587, 2002, 4194, 2387, 93402, 101406, 119314, 103763, 666, 126083, 51427, 101220, 8, 105003, 102962, 102106, 102173, 102257, 666, 126083, 51427, 101220, 11, 107892, 108151, 103562, 100690, 102425, 100801, 70186, 101227, 104800, 60835, 102686, 101406, 119314, 103763, 666, 126083, 51427, 101220, 13, 452, 6151, 26298, 76, 101615, 100944, 60835, 101126, 100809, 39015, 109770, 101700, 48842, 102454, 104003, 102686, 101406, 104426, 103427, 107575, 104800, 100788, 100959, 102507, 11, 101239, 101227, 102082, 111104, 104771, 101329, 102455, 103498, 105581, 103782, 87239, 100769, 101677, 105159, 666, 126083, 51427, 101220, 70186, 101317, 100827, 104854, 105931, 13, 445, 93402, 101406, 119314, 103763, 64578, 107361, 65161, 445, 93804, 105386, 11, 109306, 105386, 48842, 110647, 105386, 13, 109796, 112278, 100906, 102686, 101406, 119314, 103763, 39015, 107081, 116396, 105848, 101373, 320, 64461, 23129, 830, 30902, 71, 402, 9329, 11, 35137, 33, 705, 106312, 100809, 101373, 101386, 101071, 70186, 100970, 100959, 13, 33680, 101833, 100631, 220, 4468, 19, 11, 100893, 125953, 39015, 107081, 116396, 105848, 101373, 60835, 105386, 105671, 11, 102241, 100790, 100932, 101831, 70186, 119071, 101582, 111639, 220, 508, 100893, 125953, 103313, 101887, 54137, 118505, 40586, 109162, 109278, 103919, 105386, 100930, 382, 26697, 100725, 101227, 101643, 101325, 113209, 125948, 105931, 445, 101697, 11, 115816, 105530, 16854, 102790, 100788, 666, 126083, 51427, 101220, 103467, 101058, 100932, 100852, 104485, 101615, 105386, 100930, 104470, 113246, 96094, 100501, 104602, 104946, 13, 51427, 71348, 101120, 220, 16, 101420, 293, 105594, 10337, 78454, 220, 679, 15, 666, 126083, 51427, 101220, 293, 109285, 105118, 102489, 100447, 104485, 101615, 105386, 100930, 104470, 113246, 11, 103134, 29340, 102489, 100447, 104485, 101615, 105386, 100930, 101781, 123067, 13, 4194, 115373, 97635, 107009, 2665, 108135, 103517, 66626, 105386, 100852, 102090, 60835, 102686, 101406, 119314, 103763, 666, 126083, 51427, 101220, 99227, 101717, 104988, 220, 1399, 13, 931, 100524, 13, 1221, 66626, 97635, 270, 4381, 72900, 100557, 100631, 4194, 3753, 15, 101227, 101643, 102259, 100930, 274, 116021, 102510, 60835, 104540, 1630, 9769, 11, 100409, 220, 16, 11, 931, 11, 931, 105386, 382, 123436, 102536, 11, 101120, 220, 806, 101420, 220, 717, 100631, 220, 679, 19, 11, 656, 40357, 983, 116765, 100788, 103065, 104164, 73089, 11, 100944, 105128, 666, 126083, 51427, 101220, 24040, 100787, 105028, 86952, 100403, 101338, 102165, 102634, 104485, 101615, 105386, 100930, 104470, 113246, 11, 120455, 100988, 101700, 123363, 107708, 13, 114919, 220, 17, 101420, 220, 18, 100631, 220, 679, 22, 100944, 105128, 666, 126083, 51427, 101220, 24040, 100787, 105028, 86952, 103313, 101887, 102489, 100447, 104485, 101615, 105386, 100930, 104470, 113246, 11, 104470, 100906, 29876, 101882, 102686, 95676, 101120, 220, 16, 101420, 220, 16, 100631, 220, 679, 23, 382, 107237, 102686, 101406, 666, 126083, 51427, 101220, 80226, 103446, 96095, 87239, 100557, 102425, 100801, 102931, 77, 102644, 107575, 104800, 100683, 116657, 107575, 111229, 102171, 54932, 11, 328, 2483, 79, 11, 77428, 48842, 53739, 75287, 2259, 11, 80997, 11, 84625, 11, 5806, 276, 11, 21139, 48842, 43130, 382, 2232, 276, 102165, 109621, 103115, 271, 108178, 119071, 101582, 111639, 220, 508, 11, 100944, 96182, 101702, 109621, 60835, 666, 126083, 51427, 101220, 113458, 100790, 103731, 113303, 54137, 101609, 101325, 70186, 101227, 104800, 48842, 103498, 103190, 70186, 101227, 104854, 382, 21567, 100984, 113303, 103498, 103190, 60835, 666, 126083, 51427, 101220, 80226, 104470, 105493, 95676, 101582, 111639, 220, 777, 96094, 103033, 100959, 97635, 80226, 54137, 100788, 70186, 106860, 110649, 104854, 105931, 107976, 95676, 96094, 101325, 113209, 104854, 102090, 105084, 86952, 13106, 109051, 87239, 100631, 220, 10562, 19, 13, 4194, 108178, 115470, 104854, 103421, 47151, 666, 126083, 51427, 101220, 112278, 102507, 104053, 104854, 48842, 54137, 96095, 63672, 100970, 47151, 281, 383, 111778, 105676, 117155, 100883, 100558, 281, 383, 1183, 93804, 13, 107386, 102536, 100930, 103498, 103190, 60835, 102975, 96095, 97635, 70186, 125948, 105931, 101582, 102790, 103421, 47151, 103610, 101717, 102250, 39015, 100403, 102171, 101218, 104991, 105931, 272, 109285, 13, 105322, 100403, 66626, 101317, 100827, 11, 4194, 1016, 126083, 51427, 101220, 80226, 2665, 105599, 105386, 105671, 106756, 102173, 103254, 100886, 100610, 102165, 102634, 102761, 119731, 60835, 100501, 80768, 105303, 103134, 105386, 105671, 48842, 62858, 102061, 13, 103519, 103147, 39015, 934, 106362, 119731, 95676, 296, 86242, 100788, 106983, 127845, 666, 126083, 51427, 101220, 11, 100403, 103731, 89157, 105848, 100809, 102869, 101702, 100409, 101625, 102022, 104854, 105931, 60835, 106756, 13, 115414, 4168, 102536, 11, 666, 126083, 51427, 101220, 101004, 13845, 11644, 101959, 110223, 101338, 115648, 100766, 105159, 121498, 35882, 70186, 125948, 105931, 112199, 109708, 11, 48842, 80226, 101239, 102339, 2665, 105386, 111778, 105676, 64578, 109770, 101700, 121341, 32850, 17134, 13106, 109051, 48842, 51427, 276, 386, 101765, 100788, 666, 126083, 51427, 101220, 33254, 100631, 220, 6393, 18, 382, 108178, 100557, 100631, 100906, 125948, 105931, 445, 101697, 11, 666, 126083, 51427, 101220, 101325, 100827, 100944, 96182, 54137, 101609, 101325, 48842, 100403, 100930, 103446, 96095, 110099, 70186, 79328, 103357, 101218, 102975, 101831, 100409, 100944, 96182, 459, 119440, 113458, 100790, 102975, 102257, 104504, 122376, 13, 118420, 6151, 26298, 76, 101615, 117155, 60096, 105386, 105671, 666, 126083, 51427, 101220, 39015, 113602, 523, 112855, 105329, 104053, 113886, 63129, 87239, 102975, 96095, 97635, 13, 4194, 111778, 101227, 11, 100959, 97635, 102082, 111104, 100403, 115390, 100809, 102165, 105798, 342, 117225, 54137, 100944, 102004, 100409, 112937, 102282, 109316, 11, 103519, 103147, 39015, 70186, 109617, 104164, 116893, 102951, 93530, 25826, 103578, 102911, 13, 113093, 220, 6280, 17, 11, 100403, 106669, 11162, 12, 18, 60835, 666, 126083, 51427, 101220, 100947, 293, 102675, 436, 101548, 100790, 12371, 87982, 73089, 104458, 100403, 102022, 23542, 109433, 102686, 38651, 12, 868, 60835, 104540, 1630, 9769, 13, 42116, 100744, 100403, 104053, 101309, 9781, 2665, 102874, 106669, 102022, 23542, 97635, 100932, 100930, 80226, 78474, 121750, 93530, 25826, 2665, 30334, 13, 4194, 111221, 106669, 102022, 23542, 101419, 11, 102022 ] ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

7.772803