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 419, 643, 413, -1, 413, 643, 641, -1, 413, 641, 639, -1,
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 356, 381, 373, -1, 356, 373, 364, -1, 494, 480, 390, -1,
 390, 480, 382, -1, 382, 480, 374, -1, 374, 480, 357, -1,
 374, 357, 365, -1, 160, 129, 195, -1, 195, 129, 128, -1,
 166, 194, 128, -1, 128, 194, 274, -1, 128, 274, 195, -1,
 364, 373, 374, -1, 194, 273, 274, -1, 274, 273, 364, -1,
 274, 364, 365, -1, 365, 364, 374, -1, 488, 393, 481, -1,
 481, 393, 385, -1, 481, 385, 358, -1, 358, 385, 377, -1,
 358, 377, 366, -1, 489, 482, 394, -1, 394, 482, 386, -1,
 386, 482, 378, -1, 378, 482, 359, -1, 378, 359, 367, -1,
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 130, 196, 276, -1, 130, 276, 197, -1, 366, 377, 378, -1,
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 367, 366, 378, -1, 833, 834, 813, -1, 813, 834, 733, -1,
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 394, 393, 489, -1, 489, 393, 488, -1, 489, 488, 618, -1,
 618, 488, 617, -1, 618, 617, 733, -1, 842, 843, 817, -1,
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 31, 39, 49, -1, 164, 166, 128, -1, 11, 1, 21, -1,
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 99, 137, 91, -1, 31, 49, 21, -1, 21, 49, 57, -1,
 21, 57, 65, -1, 65, 57, 99, -1, 65, 99, 73, -1,
 73, 99, 91, -1, 73, 91, 83, -1, 0, 30, 1, -1,
 1, 30, 31, -1, 0, 10, 30, -1, 30, 10, 20, -1,
 30, 20, 38, -1, 136, 118, 90, -1, 90, 118, 98, -1,
 90, 98, 82, -1, 82, 98, 72, -1, 72, 98, 64, -1,
 64, 98, 56, -1, 64, 56, 20, -1, 20, 56, 48, -1,
 20, 48, 38, -1, 136, 90, 137, -1, 137, 90, 91, -1,
 0, 1, 10, -1, 10, 1, 11, -1, 33, 41, 51, -1,
 152, 154, 130, -1, 13, 3, 23, -1, 23, 3, 33, -1,
 152, 130, 101, -1, 101, 130, 139, -1, 101, 139, 93, -1,
 33, 51, 23, -1, 23, 51, 59, -1, 23, 59, 67, -1,
 67, 59, 101, -1, 67, 101, 75, -1, 75, 101, 93, -1,
 75, 93, 85, -1, 2, 32, 3, -1, 3, 32, 33, -1,
 160, 156, 129, -1, 129, 156, 100, -1, 2, 12, 32, -1,
 32, 12, 22, -1, 32, 22, 40, -1, 138, 129, 92, -1,
 92, 129, 100, -1, 92, 100, 84, -1, 84, 100, 74, -1,
 74, 100, 66, -1, 66, 100, 58, -1, 66, 58, 22, -1,
 22, 58, 50, -1, 22, 50, 40, -1, 138, 92, 139, -1,
 139, 92, 93, -1, 2, 3, 12, -1, 12, 3, 13, -1,
 161, 157, 131, -1, 131, 157, 102, -1, 4, 14, 46, -1,
 46, 14, 24, -1, 46, 24, 102, -1, 102, 24, 80, -1,
 102, 80, 131, -1, 131, 80, 140, -1, 100, 156, 120, -1,
 100, 120, 101, -1, 101, 120, 121, -1, 101, 121, 152, -1,
 101, 59, 100, -1, 100, 59, 58, -1, 98, 118, 99, -1,
 99, 118, 119, -1, 99, 119, 164, -1, 99, 57, 98, -1,
 98, 57, 56, -1, 23, 22, 13, -1, 13, 22, 12, -1,
 23, 67, 22, -1, 22, 67, 66, -1, 21, 65, 20, -1,
 20, 65, 64, -1, 21, 20, 11, -1, 11, 20, 10, -1,
 33, 32, 40, -1, 33, 40, 41, -1, 41, 40, 50, -1,
 41, 50, 51, -1, 51, 50, 58, -1, 51, 58, 59, -1,
 31, 30, 38, -1, 31, 38, 39, -1, 39, 38, 48, -1,
 39, 48, 49, -1, 49, 48, 56, -1, 49, 56, 57, -1,
 93, 92, 84, -1, 93, 84, 85, -1, 85, 84, 74, -1,
 85, 74, 75, -1, 75, 74, 66, -1, 75, 66, 67, -1,
 91, 90, 82, -1, 91, 82, 83, -1, 83, 82, 72, -1,
 83, 72, 73, -1, 73, 72, 64, -1, 73, 64, 65, -1,
 449, 331, 340, -1, 449, 340, 460, -1, 460, 340, 349, -1,
 460, 349, 471, -1, 471, 349, 359, -1, 471, 359, 482, -1,
 330, 448, 459, -1, 330, 459, 339, -1, 339, 459, 470, -1,
 339, 470, 348, -1, 348, 470, 481, -1, 348, 481, 358, -1,
 447, 329, 338, -1, 447, 338, 458, -1, 458, 338, 347, -1,
 458, 347, 469, -1, 469, 347, 357, -1, 469, 357, 480, -1,
 446, 455, 328, -1, 328, 455, 336, -1, 336, 455, 337, -1,
 337, 455, 457, -1, 337, 457, 345, -1, 345, 457, 466, -1,
 345, 466, 346, -1, 346, 466, 468, -1, 346, 468, 354, -1,
 468, 477, 354, -1, 354, 477, 479, -1, 354, 479, 356, -1,
 355, 478, 327, -1, 327, 478, 467, -1, 327, 467, 326, -1,
 255, 284, 253, -1, 253, 284, 313, -1, 326, 467, 313, -1,
 313, 467, 456, -1, 313, 456, 253, -1, 253, 456, 445, -1,
 253, 445, 243, -1, 834, 827, 814, -1, 814, 827, 727, -1,
 814, 727, 734, -1, 734, 727, 611, -1, 734, 611, 618, -1,
 618, 611, 482, -1, 618, 482, 489, -1, 157, 161, 197, -1,
 112, 122, 189, -1, 189, 122, 157, -1, 157, 197, 189, -1,
 189, 197, 276, -1, 189, 276, 268, -1, 268, 276, 367, -1,
 268, 367, 359, -1, 121, 111, 152, -1, 152, 111, 188, -1,
 152, 188, 154, -1, 154, 188, 196, -1, 196, 188, 267, -1,
 196, 267, 275, -1, 275, 267, 358, -1, 275, 358, 366, -1,
 488, 481, 610, -1, 488, 610, 617, -1, 617, 610, 726, -1,
 617, 726, 733, -1, 733, 726, 813, -1, 813, 726, 826, -1,
 813, 826, 833, -1, 818, 843, 825, -1, 818, 825, 739, -1,
 825, 725, 739, -1, 739, 725, 609, -1, 739, 609, 623, -1,
 623, 609, 480, -1, 623, 480, 494, -1, 156, 160, 195, -1,
 110, 120, 187, -1, 187, 120, 156, -1, 156, 195, 187, -1,
 187, 195, 274, -1, 187, 274, 266, -1, 266, 274, 365, -1,
 266, 365, 357, -1, 119, 109, 164, -1, 164, 109, 186, -1,
 164, 186, 166, -1, 166, 186, 194, -1, 194, 186, 265, -1,
 194, 265, 273, -1, 273, 265, 356, -1, 273, 356, 364, -1,
 493, 479, 608, -1, 493, 608, 622, -1, 622, 608, 724, -1,
 622, 724, 738, -1, 738, 724, 817, -1, 817, 724, 824, -1,
 817, 824, 842, -1, 822, 890, 888, -1, 775, 776, 811, -1,
 811, 776, 822, -1, 674, 675, 710, -1, 710, 675, 722, -1,
 710, 722, 775, -1, 661, 663, 674, -1, 822, 888, 811, -1,
 811, 888, 886, -1, 811, 886, 809, -1, 809, 886, 884, -1,
 809, 884, 807, -1, 807, 884, 882, -1, 807, 882, 805, -1,
 805, 882, 880, -1, 805, 880, 803, -1, 803, 880, 878, -1,
 803, 878, 801, -1, 801, 878, 873, -1, 801, 873, 799, -1,
 799, 873, 869, -1, 799, 869, 797, -1, 797, 869, 866, -1,
 797, 866, 795, -1, 795, 866, 863, -1, 795, 863, 793, -1,
 793, 863, 860, -1, 793, 860, 791, -1, 791, 860, 857, -1,
 791, 857, 789, -1, 775, 811, 710, -1, 710, 811, 809, -1,
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 706, 807, 805, -1, 706, 805, 704, -1, 704, 805, 803, -1,
 704, 803, 702, -1, 702, 803, 801, -1, 702, 801, 700, -1,
 700, 801, 799, -1, 700, 799, 698, -1, 698, 799, 797, -1,
 698, 797, 696, -1, 696, 797, 795, -1, 696, 795, 694, -1,
 694, 795, 793, -1, 694, 793, 692, -1, 692, 793, 791, -1,
 692, 791, 690, -1, 690, 791, 789, -1, 690, 789, 688, -1,
 674, 710, 661, -1, 661, 710, 708, -1, 661, 708, 659, -1,
 659, 708, 706, -1, 659, 706, 657, -1, 657, 706, 704, -1,
 657, 704, 655, -1, 655, 704, 702, -1, 655, 702, 653, -1,
 653, 702, 700, -1, 653, 700, 651, -1, 651, 700, 698, -1,
 651, 698, 649, -1, 649, 698, 696, -1, 649, 696, 647, -1,
 647, 696, 694, -1, 647, 694, 645, -1, 645, 694, 692, -1,
 645, 692, 643, -1, 643, 692, 690, -1, 643, 690, 641, -1,
 641, 690, 688, -1, 641, 688, 639, -1, 857, 847, 787, -1,
 857, 787, 789, -1, 789, 787, 686, -1, 789, 686, 688, -1,
 688, 686, 637, -1, 688, 637, 639, -1, 316, 258, 317, -1,
 317, 258, 242, -1, 258, 241, 242, -1, 242, 241, 226, -1,
 242, 226, 213, -1, 226, 212, 213, -1, 213, 212, 183, -1,
 213, 183, 170, -1, 183, 169, 170, -1, 170, 169, 108, -1,
 170, 108, 146, -1, 258, 302, 256, -1, 283, 255, 256, -1,
 283, 256, 301, -1, 258, 314, 312, -1, 301, 256, 303, -1,
 303, 256, 302, -1, 303, 302, 312, -1, 312, 302, 258, -1,
 315, 314, 258, -1, 316, 315, 258, -1, 229, 226, 241, -1,
 226, 229, 212, -1, 212, 229, 184, -1, 212, 184, 183, -1,
 183, 184, 169, -1, 169, 184, 171, -1, 169, 171, 108, -1,
 214, 171, 227, -1, 227, 171, 184, -1, 227, 184, 239, -1,
 239, 184, 229, -1, 239, 229, 258, -1, 241, 258, 229, -1,
 243, 214, 253, -1, 253, 214, 227, -1, 253, 227, 255, -1,
 255, 227, 239, -1, 255, 239, 256, -1, 256, 239, 258, -1,
 109, 108, 171, -1, 109, 171, 172, -1, 172, 171, 214, -1,
 172, 214, 215, -1, 215, 214, 243, -1, 215, 243, 244, -1,
 328, 336, 318, -1, 318, 336, 304, -1, 244, 293, 215, -1,
 215, 293, 231, -1, 215, 231, 172, -1, 172, 231, 204, -1,
 172, 204, 109, -1, 293, 318, 231, -1, 231, 318, 304, -1,
 231, 304, 204, -1, 204, 304, 285, -1, 336, 337, 304, -1,
 304, 337, 345, -1, 304, 345, 285, -1, 285, 345, 346, -1,
 285, 346, 354, -1, 109, 204, 186, -1, 186, 204, 285, -1,
 186, 285, 265, -1, 265, 285, 354, -1, 265, 354, 356, -1,
 331, 321, 340, -1, 340, 321, 307, -1, 340, 307, 349, -1,
 349, 307, 288, -1, 349, 288, 359, -1, 359, 288, 268, -1,
 321, 296, 307, -1, 307, 296, 234, -1, 307, 234, 288, -1,
 288, 234, 207, -1, 288, 207, 268, -1, 268, 207, 189, -1,
 296, 247, 234, -1, 234, 247, 218, -1, 234, 218, 207, -1,
 207, 218, 175, -1, 207, 175, 189, -1, 189, 175, 112, -1,
 329, 319, 338, -1, 338, 319, 305, -1, 338, 305, 347, -1,
 347, 305, 286, -1, 347, 286, 357, -1, 357, 286, 266, -1,
 319, 294, 305, -1, 305, 294, 232, -1, 305, 232, 286, -1,
 286, 232, 205, -1, 286, 205, 266, -1, 266, 205, 187, -1,
 294, 245, 232, -1, 232, 245, 216, -1, 232, 216, 205, -1,
 205, 216, 173, -1, 205, 173, 187, -1, 187, 173, 110, -1,
 111, 110, 173, -1, 111, 173, 174, -1, 174, 173, 216, -1,
 174, 216, 217, -1, 217, 216, 245, -1, 217, 245, 246, -1,
 246, 295, 217, -1, 217, 295, 233, -1, 217, 233, 174, -1,
 174, 233, 206, -1, 174, 206, 111, -1, 111, 206, 188, -1,
 295, 320, 233, -1, 233, 320, 306, -1, 233, 306, 206, -1,
 206, 306, 287, -1, 206, 287, 188, -1, 188, 287, 267, -1,
 320, 330, 306, -1, 306, 330, 339, -1, 306, 339, 287, -1,
 287, 339, 348, -1, 287, 348, 267, -1, 267, 348, 358, -1,
 631, 591, 680, -1, 680, 591, 668, -1, 680, 668, 781, -1,
 781, 668, 716, -1, 781, 716, 827, -1, 827, 716, 727, -1,
 591, 538, 668, -1, 668, 538, 549, -1, 668, 549, 716, -1,
 716, 549, 601, -1, 716, 601, 727, -1, 727, 601, 611, -1,
 538, 449, 549, -1, 549, 449, 460, -1, 549, 460, 601, -1,
 601, 460, 471, -1, 601, 471, 611, -1, 611, 471, 482, -1,
 629, 589, 678, -1, 678, 589, 666, -1, 678, 666, 779, -1,
 779, 666, 714, -1, 779, 714, 825, -1, 825, 714, 725, -1,
 589, 536, 666, -1, 666, 536, 547, -1, 666, 547, 714, -1,
 714, 547, 599, -1, 714, 599, 725, -1, 725, 599, 609, -1,
 536, 447, 547, -1, 547, 447, 458, -1, 547, 458, 599, -1,
 599, 458, 469, -1, 599, 469, 609, -1, 609, 469, 480, -1,
 630, 629, 678, -1, 630, 678, 679, -1, 679, 678, 779, -1,
 679, 779, 780, -1, 780, 779, 825, -1, 780, 825, 826, -1,
 448, 537, 459, -1, 459, 537, 548, -1, 459, 548, 470, -1,
 470, 548, 600, -1, 470, 600, 481, -1, 481, 600, 610, -1,
 537, 590, 548, -1, 548, 590, 667, -1, 548, 667, 600, -1,
 600, 667, 715, -1, 600, 715, 610, -1, 610, 715, 726, -1,
 590, 630, 667, -1, 667, 630, 679, -1, 667, 679, 715, -1,
 715, 679, 780, -1, 715, 780, 726, -1, 726, 780, 826, -1,
 389, 390, 382, -1, 389, 382, 381, -1, 381, 382, 374, -1,
 381, 374, 373, -1, 393, 394, 386, -1, 393, 386, 385, -1,
 385, 386, 378, -1, 385, 378, 377, -1, 1723, 1722, 1733, -1,
 1733, 1722, 1732, -1, 1735, 1725, 1734, -1, 1734, 1725, 1724, -1,
 1726, 1736, 1727, -1, 1727, 1736, 1737, -1, 1727, 1737, 1757, -1,
 1745, 1744, 1754, -1, 1754, 1744, 1753, -1, 1749, 1748, 1756, -1,
 1750, 1741, 1740, -1, 1737, 1755, 1757, -1, 1757, 1755, 1754, -1,
 1757, 1754, 1756, -1, 1756, 1754, 1753, -1, 1756, 1753, 1752, -1,
 1740, 1749, 1750, -1, 1750, 1749, 1756, -1, 1750, 1756, 1751, -1,
 1751, 1756, 1752, -1, 1751, 1752, 1742, -1, 1742, 1752, 1743, -1,
 1729, 1719, 1728, -1, 1728, 1719, 1718, -1, 1728, 1718, 1746, -1,
 1746, 1718, 1756, -1, 1746, 1756, 1747, -1, 1747, 1756, 1748, -1,
 1747, 1748, 1738, -1, 1738, 1748, 1739, -1, 1201, 1607, 1608, -1,
 1267, 1320, 1200, -1, 1200, 1320, 1366, -1, 1537, 1564, 1490, -1,
 1490, 1564, 1607, -1, 1490, 1607, 1366, -1, 1366, 1607, 1201, -1,
 1366, 1201, 1200, -1, 1321, 1268, 1367, -1, 1367, 1268, 1201, -1,
 1367, 1201, 1491, -1, 1491, 1201, 1608, -1, 1491, 1608, 1538, -1,
 1538, 1608, 1565, -1, 1203, 1202, 1609, -1, 1323, 1270, 1369, -1,
 1369, 1270, 1203, -1, 1369, 1203, 1610, -1, 1610, 1203, 1609, -1,
 1539, 1566, 1492, -1, 1492, 1566, 1609, -1, 1492, 1609, 1368, -1,
 1368, 1609, 1202, -1, 1368, 1202, 1322, -1, 1322, 1202, 1269, -1,
 988, 989, 992, -1, 992, 989, 993, -1, 993, 989, 983, -1,
 983, 989, 975, -1, 983, 975, 976, -1, 967, 968, 990, -1,
 990, 968, 986, -1, 990, 986, 991, -1, 991, 986, 987, -1,
 971, 972, 978, -1, 978, 972, 979, -1, 973, 974, 980, -1,
 980, 974, 988, -1, 1015, 1022, 1017, -1, 981, 984, 977, -1,
 977, 984, 987, -1, 977, 987, 970, -1, 970, 987, 969, -1,
 1015, 1017, 1009, -1, 1031, 1020, 1029, -1, 1029, 1020, 1016, -1,
 1029, 1016, 1027, -1, 980, 982, 979, -1, 979, 982, 981, -1,
 979, 981, 978, -1, 978, 981, 977, -1, 1000, 997, 992, -1,
 984, 994, 987, -1, 987, 994, 996, -1, 987, 996, 991, -1,
 991, 996, 1001, -1, 1030, 1019, 1021, -1, 1031, 1033, 1020, -1,
 1020, 1033, 1034, -1, 1020, 1034, 1021, -1, 1021, 1034, 1032, -1,
 1021, 1032, 1030, -1, 992, 997, 988, -1, 988, 997, 995, -1,
 988, 995, 980, -1, 980, 995, 985, -1, 980, 985, 982, -1,
 1003, 1004, 999, -1, 999, 1004, 1001, -1, 999, 1001, 998, -1,
 998, 1001, 996, -1, 1008, 1006, 1005, -1, 1005, 1006, 1000, -1,
 1005, 1000, 1002, -1, 1002, 1000, 992, -1, 1017, 1013, 1009, -1,
 1009, 1013, 1010, -1, 1009, 1010, 1003, -1, 1003, 1010, 1007, -1,
 1003, 1007, 1004, -1, 1030, 1028, 1019, -1, 1019, 1028, 1026, -1,
 1019, 1026, 1015, -1, 1015, 1026, 1024, -1, 1015, 1024, 1022, -1,
 1008, 1011, 1006, -1, 1006, 1011, 1014, -1, 1006, 1014, 1012, -1,
 1014, 1018, 1012, -1, 1012, 1018, 1023, -1, 1012, 1023, 1016, -1,
 1016, 1023, 1025, -1, 1016, 1025, 1027, -1, 1760, 1761, 1758, -1,
 1758, 1761, 1759, -1, 1563, 1536, 1606, -1, 1606, 1536, 1489, -1,
 1319, 1266, 1365, -1, 1365, 1266, 1199, -1, 1365, 1199, 1489, -1,
 1489, 1199, 1605, -1, 1489, 1605, 1606, -1, 1265, 1318, 1198, -1,
 1198, 1318, 1364, -1, 1535, 1562, 1488, -1, 1488, 1562, 1605, -1,
 1488, 1605, 1364, -1, 1364, 1605, 1199, -1, 1364, 1199, 1198, -1,
 990, 991, 1055, -1, 992, 993, 1056, -1, 1056, 993, 1157, -1,
 1761, 1420, 993, -1, 993, 1420, 1205, -1, 993, 1205, 1157, -1,
 1329, 1413, 1761, -1, 1055, 1156, 990, -1, 990, 1156, 1204, -1,
 990, 1204, 1760, -1, 1204, 1417, 1760, -1, 1760, 1417, 1418, -1,
 1760, 1418, 1761, -1, 1413, 1414, 1761, -1, 1761, 1414, 1419, -1,
 1761, 1419, 1420, -1, 1324, 1325, 1761, -1, 1761, 1325, 1328, -1,
 1761, 1328, 1329, -1, 1327, 1326, 1330, -1, 1330, 1326, 1324, -1,
 1330, 1324, 1415, -1, 1415, 1324, 1761, -1, 1415, 1761, 1416, -1,
 1416, 1761, 1418, -1, 1424, 1420, 1422, -1, 1422, 1420, 1419, -1,
 1425, 1423, 1417, -1, 1417, 1423, 1421, -1, 1417, 1421, 1418, -1,
 1424, 1426, 1420, -1, 1420, 1426, 1428, -1, 1420, 1428, 1434, -1,
 1428, 1430, 1434, -1, 1434, 1430, 1432, -1, 1434, 1432, 1440, -1,
 1457, 1450, 1459, -1, 1459, 1450, 1452, -1, 1459, 1452, 1460, -1,
 1460, 1452, 1453, -1, 1460, 1453, 1458, -1, 1458, 1453, 1451, -1,
 1458, 1451, 1456, -1, 1451, 1449, 1456, -1, 1456, 1449, 1445, -1,
 1456, 1445, 1454, -1, 1454, 1445, 1443, -1, 1454, 1443, 1447, -1,
 1447, 1443, 1441, -1, 1447, 1441, 1439, -1, 1432, 1436, 1440, -1,
 1440, 1436, 1438, -1, 1440, 1438, 1448, -1, 1448, 1438, 1442, -1,
 1448, 1442, 1455, -1, 1455, 1442, 1444, -1, 1455, 1444, 1457, -1,
 1457, 1444, 1446, -1, 1457, 1446, 1450, -1, 1441, 1437, 1439, -1,
 1439, 1437, 1435, -1, 1439, 1435, 1433, -1, 1435, 1431, 1433, -1,
 1433, 1431, 1429, -1, 1433, 1429, 1417, -1, 1417, 1429, 1427, -1,
 1417, 1427, 1425, -1, 1619, 1407, 1618, -1, 1618, 1407, 1402, -1,
 1618, 1402, 1616, -1, 1434, 1207, 1420, -1, 1420, 1207, 1205, -1,
 1460, 1230, 1459, -1, 1459, 1230, 1229, -1, 1229, 1227, 1459, -1,
 1459, 1227, 1225, -1, 1459, 1225, 1457, -1, 1457, 1225, 1223, -1,
 1457, 1223, 1455, -1, 1223, 1221, 1455, -1, 1455, 1221, 1219, -1,
 1455, 1219, 1448, -1, 1219, 1217, 1448, -1, 1448, 1217, 1215, -1,
 1448, 1215, 1440, -1, 1215, 1213, 1440, -1, 1440, 1213, 1211, -1,
 1440, 1211, 1434, -1, 1434, 1211, 1209, -1, 1434, 1209, 1207, -1,
 1759, 1621, 1758, -1, 1758, 1621, 1620, -1, 1758, 1620, 1681, -1,
 1620, 1621, 1617, -1, 1617, 1621, 1619, -1, 1617, 1619, 1618, -1,
 1617, 1654, 1599, -1, 1599, 1654, 1623, -1, 1599, 1623, 1541, -1,
 1699, 1654, 1756, -1, 1756, 1654, 1617, -1, 1756, 1617, 1757, -1,
 1757, 1617, 1618, -1, 1757, 1618, 1697, -1, 1697, 1618, 1652, -1,
 945, 946, 999, -1, 999, 946, 1003, -1, 946, 950, 1003, -1,
 1003, 950, 954, -1, 1003, 954, 1009, -1, 1009, 954, 958, -1,
 1009, 958, 1015, -1, 1015, 958, 964, -1, 1015, 964, 1019, -1,
 1019, 964, 966, -1, 1019, 966, 1021, -1, 1021, 966, 965, -1,
 1021, 965, 1020, -1, 1020, 965, 961, -1, 1020, 961, 1016, -1,
 1016, 961, 957, -1, 1016, 957, 1012, -1, 1012, 957, 953, -1,
 1012, 953, 1006, -1, 1006, 953, 949, -1, 1006, 949, 1000, -1,
 1000, 949, 942, -1, 1000, 942, 997, -1, 997, 942, 938, -1,
 997, 938, 995, -1, 995, 938, 934, -1, 995, 934, 985, -1,
 985, 934, 930, -1, 985, 930, 982, -1, 982, 930, 929, -1,
 982, 929, 981, -1, 981, 929, 931, -1, 981, 931, 984, -1,
 984, 931, 937, -1, 984, 937, 994, -1, 994, 937, 941, -1,
 994, 941, 996, -1, 996, 941, 945, -1, 996, 945, 998, -1,
 998, 945, 999, -1, 950, 946, 947, -1, 947, 946, 945, -1,
 947, 945, 943, -1, 943, 945, 941, -1, 943, 941, 939, -1,
 939, 941, 937, -1, 939, 937, 935, -1, 935, 937, 931, -1,
 935, 931, 932, -1, 932, 931, 929, -1, 932, 929, 933, -1,
 933, 929, 930, -1, 933, 930, 936, -1, 936, 930, 934, -1,
 936, 934, 940, -1, 940, 934, 938, -1, 940, 938, 944, -1,
 944, 938, 942, -1, 944, 942, 948, -1, 948, 942, 949, -1,
 948, 949, 952, -1, 952, 949, 953, -1, 952, 953, 956, -1,
 956, 953, 957, -1, 956, 957, 960, -1, 960, 957, 961, -1,
 960, 961, 963, -1, 963, 961, 965, -1, 963, 965, 962, -1,
 962, 965, 966, -1, 962, 966, 959, -1, 959, 966, 964, -1,
 959, 964, 955, -1, 955, 964, 958, -1, 955, 958, 951, -1,
 951, 958, 954, -1, 951, 954, 947, -1, 947, 954, 950, -1,
 1411, 1468, 1401, -1, 1401, 1468, 1476, -1, 1401, 1476, 1520, -1,
 1520, 1476, 1484, -1, 1520, 1484, 1528, -1, 1410, 1400, 1467, -1,
 1467, 1400, 1475, -1, 1475, 1400, 1483, -1, 1483, 1400, 1519, -1,
 1483, 1519, 1527, -1, 1713, 1744, 1679, -1, 1679, 1744, 1745, -1,
 1679, 1745, 1597, -1, 1484, 1483, 1528, -1, 1528, 1483, 1527, -1,
 1528, 1527, 1598, -1, 1598, 1527, 1597, -1, 1598, 1597, 1680, -1,
 1680, 1597, 1745, -1, 1680, 1745, 1705, -1, 1406, 1464, 1399, -1,
 1399, 1464, 1472, -1, 1399, 1472, 1518, -1, 1518, 1472, 1480, -1,
 1518, 1480, 1526, -1, 1405, 1398, 1463, -1, 1463, 1398, 1471, -1,
 1471, 1398, 1479, -1, 1479, 1398, 1517, -1, 1479, 1517, 1525, -1,
 1712, 1742, 1677, -1, 1677, 1742, 1743, -1, 1717, 1678, 1743, -1,
 1743, 1678, 1595, -1, 1743, 1595, 1677, -1, 1526, 1480, 1479, -1,
 1678, 1596, 1595, -1, 1595, 1596, 1526, -1, 1595, 1526, 1525, -1,
 1525, 1526, 1479, -1, 979, 1038, 980, -1, 980, 1038, 1127, -1,
 980, 1127, 1039, -1, 1463, 1464, 1405, -1, 1405, 1464, 1406, -1,
 1405, 1406, 1243, -1, 1243, 1406, 1244, -1, 1243, 1244, 1127, -1,
 1127, 1244, 1128, -1, 1127, 1128, 1039, -1, 988, 1042, 989, -1,
 989, 1042, 1132, -1, 989, 1132, 1043, -1, 1467, 1468, 1410, -1,
 1410, 1468, 1411, -1, 1410, 1411, 1248, -1, 1248, 1411, 1249, -1,
 1248, 1249, 1132, -1, 1132, 1249, 1133, -1, 1132, 1133, 1043, -1,
 1838, 1830, 1820, -1, 1703, 1705, 1745, -1, 1868, 1858, 1848, -1,
 1848, 1858, 1838, -1, 1703, 1745, 1770, -1, 1770, 1745, 1754, -1,
 1770, 1754, 1778, -1, 1838, 1820, 1848, -1, 1848, 1820, 1812, -1,
 1848, 1812, 1804, -1, 1804, 1812, 1770, -1, 1804, 1770, 1796, -1,
 1796, 1770, 1778, -1, 1796, 1778, 1786, -1, 1859, 1839, 1858, -1,
 1858, 1839, 1838, -1, 1859, 1869, 1839, -1, 1839, 1869, 1849, -1,
 1839, 1849, 1831, -1, 1755, 1737, 1779, -1, 1779, 1737, 1771, -1,
 1779, 1771, 1787, -1, 1787, 1771, 1797, -1, 1797, 1771, 1805, -1,
 1805, 1771, 1813, -1, 1805, 1813, 1849, -1, 1849, 1813, 1821, -1,
 1849, 1821, 1831, -1, 1755, 1779, 1754, -1, 1754, 1779, 1778, -1,
 1859, 1858, 1869, -1, 1869, 1858, 1868, -1, 1836, 1828, 1818, -1,
 1715, 1717, 1743, -1, 1866, 1856, 1846, -1, 1846, 1856, 1836, -1,
 1715, 1743, 1768, -1, 1768, 1743, 1752, -1, 1768, 1752, 1776, -1,
 1836, 1818, 1846, -1, 1846, 1818, 1810, -1, 1846, 1810, 1802, -1,
 1802, 1810, 1768, -1, 1802, 1768, 1794, -1, 1794, 1768, 1776, -1,
 1794, 1776, 1784, -1, 1857, 1837, 1856, -1, 1856, 1837, 1836, -1,
 1713, 1709, 1744, -1, 1744, 1709, 1769, -1, 1857, 1867, 1837, -1,
 1837, 1867, 1847, -1, 1837, 1847, 1829, -1, 1753, 1744, 1777, -1,
 1777, 1744, 1769, -1, 1777, 1769, 1785, -1, 1785, 1769, 1795, -1,
 1795, 1769, 1803, -1, 1803, 1769, 1811, -1, 1803, 1811, 1847, -1,
 1847, 1811, 1819, -1, 1847, 1819, 1829, -1, 1753, 1777, 1752, -1,
 1752, 1777, 1776, -1, 1857, 1856, 1867, -1, 1867, 1856, 1866, -1,
 1712, 1708, 1742, -1, 1742, 1708, 1767, -1, 1855, 1865, 1823, -1,
 1823, 1865, 1845, -1, 1823, 1845, 1767, -1, 1767, 1845, 1789, -1,
 1767, 1789, 1742, -1, 1742, 1789, 1751, -1, 1789, 1788, 1751, -1,
 1751, 1788, 1750, -1, 1823, 1822, 1855, -1, 1855, 1822, 1854, -1,
 1854, 1864, 1855, -1, 1855, 1864, 1865, -1, 1767, 1766, 1823, -1,
 1823, 1766, 1822, -1, 1767, 1708, 1733, -1, 1767, 1733, 1766, -1,
 1766, 1733, 1732, -1, 1766, 1732, 1707, -1, 1769, 1709, 1735, -1,
 1769, 1735, 1768, -1, 1768, 1735, 1734, -1, 1768, 1734, 1715, -1,
 1768, 1810, 1769, -1, 1769, 1810, 1811, -1, 1771, 1737, 1770, -1,
 1770, 1737, 1736, -1, 1770, 1736, 1703, -1, 1770, 1812, 1771, -1,
 1771, 1812, 1813, -1, 1865, 1864, 1845, -1, 1845, 1864, 1844, -1,
 1845, 1844, 1789, -1, 1789, 1844, 1788, -1, 1846, 1847, 1866, -1,
 1866, 1847, 1867, -1, 1846, 1802, 1847, -1, 1847, 1802, 1803, -1,
 1848, 1804, 1849, -1, 1849, 1804, 1805, -1, 1848, 1849, 1868, -1,
 1868, 1849, 1869, -1, 1836, 1837, 1829, -1, 1836, 1829, 1828, -1,
 1828, 1829, 1819, -1, 1828, 1819, 1818, -1, 1818, 1819, 1811, -1,
 1818, 1811, 1810, -1, 1838, 1839, 1831, -1, 1838, 1831, 1830, -1,
 1830, 1831, 1821, -1, 1830, 1821, 1820, -1, 1820, 1821, 1813, -1,
 1820, 1813, 1812, -1, 1776, 1777, 1785, -1, 1776, 1785, 1784, -1,
 1784, 1785, 1795, -1, 1784, 1795, 1794, -1, 1794, 1795, 1803, -1,
 1794, 1803, 1802, -1, 1778, 1779, 1787, -1, 1778, 1787, 1786, -1,
 1786, 1787, 1797, -1, 1786, 1797, 1796, -1, 1796, 1797, 1805, -1,
 1796, 1805, 1804, -1, 1413, 1329, 1332, -1, 1326, 1272, 1271, -1,
 1330, 1415, 1331, -1, 1331, 1415, 1416, -1, 1331, 1416, 1333, -1,
 1333, 1416, 1418, -1, 1326, 1327, 1272, -1, 1272, 1327, 1330, -1,
 1272, 1330, 1274, -1, 1273, 1325, 1271, -1, 1271, 1325, 1324, -1,
 1271, 1324, 1326, -1, 1418, 1421, 1333, -1, 1333, 1421, 1423, -1,
 1333, 1423, 1335, -1, 1335, 1423, 1425, -1, 1335, 1425, 1337, -1,
 1337, 1425, 1427, -1, 1337, 1427, 1339, -1, 1339, 1427, 1429, -1,
 1339, 1429, 1341, -1, 1341, 1429, 1431, -1, 1341, 1431, 1343, -1,
 1343, 1431, 1435, -1, 1343, 1435, 1345, -1, 1345, 1435, 1437, -1,
 1345, 1437, 1347, -1, 1347, 1437, 1441, -1, 1347, 1441, 1349, -1,
 1349, 1441, 1443, -1, 1349, 1443, 1351, -1, 1351, 1443, 1445, -1,
 1351, 1445, 1353, -1, 1353, 1445, 1449, -1, 1353, 1449, 1355, -1,
 1355, 1449, 1451, -1, 1355, 1451, 1357, -1, 1357, 1451, 1453, -1,
 1357, 1453, 1359, -1, 1359, 1453, 1452, -1, 1359, 1452, 1358, -1,
 1358, 1452, 1450, -1, 1358, 1450, 1356, -1, 1356, 1450, 1446, -1,
 1356, 1446, 1354, -1, 1354, 1446, 1444, -1, 1354, 1444, 1352, -1,
 1352, 1444, 1442, -1, 1352, 1442, 1350, -1, 1350, 1442, 1438, -1,
 1350, 1438, 1348, -1, 1348, 1438, 1436, -1, 1348, 1436, 1346, -1,
 1346, 1436, 1432, -1, 1346, 1432, 1344, -1, 1344, 1432, 1430, -1,
 1344, 1430, 1342, -1, 1342, 1430, 1428, -1, 1342, 1428, 1340, -1,
 1340, 1428, 1426, -1, 1340, 1426, 1338, -1, 1338, 1426, 1424, -1,
 1338, 1424, 1336, -1, 1336, 1424, 1422, -1, 1336, 1422, 1334, -1,
 1334, 1422, 1419, -1, 1334, 1419, 1332, -1, 1332, 1419, 1414, -1,
 1332, 1414, 1413, -1, 1330, 1331, 1274, -1, 1274, 1331, 1333, -1,
 1274, 1333, 1276, -1, 1276, 1333, 1335, -1, 1276, 1335, 1278, -1,
 1278, 1335, 1337, -1, 1278, 1337, 1280, -1, 1280, 1337, 1339, -1,
 1280, 1339, 1282, -1, 1282, 1339, 1341, -1, 1282, 1341, 1284, -1,
 1284, 1341, 1343, -1, 1284, 1343, 1286, -1, 1286, 1343, 1345, -1,
 1286, 1345, 1288, -1, 1288, 1345, 1347, -1, 1288, 1347, 1290, -1,
 1290, 1347, 1349, -1, 1290, 1349, 1292, -1, 1292, 1349, 1351, -1,
 1292, 1351, 1294, -1, 1294, 1351, 1353, -1, 1294, 1353, 1296, -1,
 1296, 1353, 1355, -1, 1296, 1355, 1298, -1, 1298, 1355, 1357, -1,
 1298, 1357, 1300, -1, 1300, 1357, 1359, -1, 1300, 1359, 1302, -1,
 1302, 1359, 1358, -1, 1302, 1358, 1301, -1, 1301, 1358, 1356, -1,
 1301, 1356, 1299, -1, 1299, 1356, 1354, -1, 1299, 1354, 1297, -1,
 1297, 1354, 1352, -1, 1297, 1352, 1295, -1, 1295, 1352, 1350, -1,
 1295, 1350, 1293, -1, 1293, 1350, 1348, -1, 1293, 1348, 1291, -1,
 1291, 1348, 1346, -1, 1291, 1346, 1289, -1, 1289, 1346, 1344, -1,
 1289, 1344, 1287, -1, 1287, 1344, 1342, -1, 1287, 1342, 1285, -1,
 1285, 1342, 1340, -1, 1285, 1340, 1283, -1, 1283, 1340, 1338, -1,
 1283, 1338, 1281, -1, 1281, 1338, 1336, -1, 1281, 1336, 1279, -1,
 1279, 1336, 1334, -1, 1279, 1334, 1277, -1, 1277, 1334, 1332, -1,
 1277, 1332, 1275, -1, 1275, 1332, 1329, -1, 1275, 1329, 1273, -1,
 1273, 1329, 1328, -1, 1273, 1328, 1325, -1, 1083, 1272, 1084, -1,
 1084, 1272, 1274, -1, 1084, 1274, 1086, -1, 1086, 1274, 1276, -1,
 1086, 1276, 1088, -1, 1088, 1276, 1278, -1, 1088, 1278, 1090, -1,
 1090, 1278, 1280, -1, 1090, 1280, 1092, -1, 1092, 1280, 1282, -1,
 1092, 1282, 1094, -1, 1094, 1282, 1284, -1, 1094, 1284, 1096, -1,
 1096, 1284, 1286, -1, 1096, 1286, 1098, -1, 1098, 1286, 1288, -1,
 1098, 1288, 1100, -1, 1100, 1288, 1290, -1, 1100, 1290, 1102, -1,
 1102, 1290, 1292, -1, 1102, 1292, 1104, -1, 1104, 1292, 1294, -1,
 1104, 1294, 1106, -1, 1106, 1294, 1296, -1, 1106, 1296, 1108, -1,
 1108, 1296, 1298, -1, 1108, 1298, 1110, -1, 1110, 1298, 1300, -1,
 1110, 1300, 1112, -1, 1112, 1300, 1302, -1, 1112, 1302, 1114, -1,
 1114, 1302, 1301, -1, 1114, 1301, 1113, -1, 1113, 1301, 1299, -1,
 1113, 1299, 1111, -1, 1111, 1299, 1297, -1, 1111, 1297, 1109, -1,
 1109, 1297, 1295, -1, 1109, 1295, 1107, -1, 1107, 1295, 1293, -1,
 1107, 1293, 1105, -1, 1105, 1293, 1291, -1, 1105, 1291, 1103, -1,
 1103, 1291, 1289, -1, 1103, 1289, 1101, -1, 1101, 1289, 1287, -1,
 1101, 1287, 1099, -1, 1099, 1287, 1285, -1, 1099, 1285, 1097, -1,
 1097, 1285, 1283, -1, 1097, 1283, 1095, -1, 1095, 1283, 1281, -1,
 1095, 1281, 1093, -1, 1093, 1281, 1279, -1, 1093, 1279, 1091, -1,
 1091, 1279, 1277, -1, 1091, 1277, 1089, -1, 1089, 1277, 1275, -1,
 1089, 1275, 1087, -1, 1087, 1275, 1273, -1, 1087, 1273, 1085, -1,
 1085, 1273, 1271, -1, 1085, 1271, 1083, -1, 1083, 1271, 1272, -1,
 1365, 1489, 1498, -1, 1365, 1498, 1376, -1, 1376, 1498, 1507, -1,
 1376, 1507, 1387, -1, 1387, 1507, 1517, -1, 1387, 1517, 1398, -1,
 1490, 1366, 1377, -1, 1490, 1377, 1499, -1, 1499, 1377, 1388, -1,
 1499, 1388, 1508, -1, 1508, 1388, 1399, -1, 1508, 1399, 1518, -1,
 1367, 1491, 1500, -1, 1367, 1500, 1378, -1, 1378, 1500, 1509, -1,
 1378, 1509, 1389, -1, 1389, 1509, 1519, -1, 1389, 1519, 1400, -1,
 1492, 1368, 1379, -1, 1492, 1379, 1501, -1, 1501, 1379, 1390, -1,
 1501, 1390, 1510, -1, 1510, 1390, 1401, -1, 1510, 1401, 1520, -1,
 1616, 1402, 1391, -1, 1616, 1391, 1614, -1, 1614, 1391, 1380, -1,
 1614, 1380, 1612, -1, 1612, 1380, 1369, -1, 1612, 1369, 1610, -1,
 979, 972, 1038, -1, 1038, 972, 1120, -1, 1038, 1120, 1127, -1,
 1127, 1120, 1236, -1, 1127, 1236, 1243, -1, 1243, 1236, 1398, -1,
 1243, 1398, 1405, -1, 1708, 1712, 1677, -1, 1723, 1733, 1669, -1,
 1669, 1733, 1708, -1, 1708, 1677, 1669, -1, 1669, 1677, 1595, -1,
 1669, 1595, 1587, -1, 1587, 1595, 1525, -1, 1587, 1525, 1517, -1,
 1734, 1724, 1715, -1, 1715, 1724, 1670, -1, 1715, 1670, 1717, -1,
 1717, 1670, 1678, -1, 1678, 1670, 1588, -1, 1678, 1588, 1596, -1,
 1596, 1588, 1518, -1, 1596, 1518, 1526, -1, 1406, 1399, 1237, -1,
 1406, 1237, 1244, -1, 1244, 1237, 1121, -1, 1244, 1121, 1128, -1,
 1128, 1121, 1039, -1, 1039, 1121, 973, -1, 1039, 973, 980, -1,
 1042, 988, 974, -1, 1042, 974, 1132, -1, 974, 1122, 1132, -1,
 1132, 1122, 1238, -1, 1132, 1238, 1248, -1, 1248, 1238, 1400, -1,
 1248, 1400, 1410, -1, 1709, 1713, 1679, -1, 1725, 1735, 1671, -1,
 1671, 1735, 1709, -1, 1709, 1679, 1671, -1, 1671, 1679, 1597, -1,
 1671, 1597, 1589, -1, 1589, 1597, 1527, -1, 1589, 1527, 1519, -1,
 1736, 1726, 1703, -1, 1703, 1726, 1672, -1, 1703, 1672, 1705, -1,
 1705, 1672, 1680, -1, 1680, 1672, 1590, -1, 1680, 1590, 1598, -1,
 1598, 1590, 1520, -1, 1598, 1520, 1528, -1, 1411, 1401, 1239, -1,
 1411, 1239, 1249, -1, 1249, 1239, 1123, -1, 1249, 1123, 1133, -1,
 1133, 1123, 1043, -1, 1043, 1123, 975, -1, 1043, 975, 989, -1,
 1035, 1034, 1033, -1, 1082, 1081, 1080, -1, 1080, 1081, 1035, -1,
 1183, 1182, 1181, -1, 1181, 1182, 1135, -1, 1181, 1135, 1082, -1,
 1229, 1230, 1183, -1, 1035, 1033, 1080, -1, 1080, 1033, 1031, -1,
 1080, 1031, 1078, -1, 1078, 1031, 1029, -1, 1078, 1029, 1076, -1,
 1076, 1029, 1027, -1, 1076, 1027, 1074, -1, 1074, 1027, 1025, -1,
 1074, 1025, 1072, -1, 1072, 1025, 1023, -1, 1072, 1023, 1070, -1,
 1070, 1023, 1018, -1, 1070, 1018, 1068, -1, 1068, 1018, 1014, -1,
 1068, 1014, 1066, -1, 1066, 1014, 1011, -1, 1066, 1011, 1064, -1,
 1064, 1011, 1008, -1, 1064, 1008, 1062, -1, 1062, 1008, 1005, -1,
 1062, 1005, 1060, -1, 1060, 1005, 1002, -1, 1060, 1002, 1058, -1,
 1082, 1080, 1181, -1, 1181, 1080, 1078, -1, 1181, 1078, 1179, -1,
 1179, 1078, 1076, -1, 1179, 1076, 1177, -1, 1177, 1076, 1074, -1,
 1177, 1074, 1175, -1, 1175, 1074, 1072, -1, 1175, 1072, 1173, -1,
 1173, 1072, 1070, -1, 1173, 1070, 1171, -1, 1171, 1070, 1068, -1,
 1171, 1068, 1169, -1, 1169, 1068, 1066, -1, 1169, 1066, 1167, -1,
 1167, 1066, 1064, -1, 1167, 1064, 1165, -1, 1165, 1064, 1062, -1,
 1165, 1062, 1163, -1, 1163, 1062, 1060, -1, 1163, 1060, 1161, -1,
 1161, 1060, 1058, -1, 1161, 1058, 1159, -1, 1183, 1181, 1229, -1,
 1229, 1181, 1179, -1, 1229, 1179, 1227, -1, 1227, 1179, 1177, -1,
 1227, 1177, 1225, -1, 1225, 1177, 1175, -1, 1225, 1175, 1223, -1,
 1223, 1175, 1173, -1, 1223, 1173, 1221, -1, 1221, 1173, 1171, -1,
 1221, 1171, 1219, -1, 1219, 1171, 1169, -1, 1219, 1169, 1217, -1,
 1217, 1169, 1167, -1, 1217, 1167, 1215, -1, 1215, 1167, 1165, -1,
 1215, 1165, 1213, -1, 1213, 1165, 1163, -1, 1213, 1163, 1211, -1,
 1211, 1163, 1161, -1, 1211, 1161, 1209, -1, 1209, 1161, 1159, -1,
 1209, 1159, 1207, -1, 1002, 992, 1056, -1, 1002, 1056, 1058, -1,
 1058, 1056, 1157, -1, 1058, 1157, 1159, -1, 1159, 1157, 1205, -1,
 1159, 1205, 1207, -1, 1618, 1616, 1651, -1, 1618, 1651, 1652, -1,
 1652, 1651, 1696, -1, 1652, 1696, 1697, -1, 1697, 1696, 1727, -1,
 1697, 1727, 1757, -1, 1727, 1696, 1683, -1, 1616, 1614, 1627, -1,
 1696, 1638, 1683, -1, 1683, 1638, 1627, -1, 1683, 1627, 1637, -1,
 1637, 1627, 1614, -1, 1637, 1614, 1612, -1, 1727, 1683, 1695, -1,
 1695, 1683, 1637, -1, 1695, 1637, 1650, -1, 1650, 1637, 1612, -1,
 1650, 1612, 1610, -1, 1638, 1616, 1627, -1, 1696, 1651, 1638, -1,
 1638, 1651, 1616, -1, 1726, 1727, 1695, -1, 1726, 1695, 1694, -1,
 1694, 1695, 1650, -1, 1694, 1650, 1649, -1, 1649, 1650, 1610, -1,
 1649, 1610, 1609, -1, 1609, 1566, 1649, -1, 1649, 1566, 1635, -1,
 1649, 1635, 1694, -1, 1694, 1635, 1663, -1, 1694, 1663, 1726, -1,
 1726, 1663, 1672, -1, 1566, 1539, 1635, -1, 1635, 1539, 1556, -1,
 1635, 1556, 1663, -1, 1663, 1556, 1577, -1, 1663, 1577, 1672, -1,
 1672, 1577, 1590, -1, 1539, 1492, 1556, -1, 1556, 1492, 1501, -1,
 1556, 1501, 1577, -1, 1577, 1501, 1510, -1, 1577, 1510, 1590, -1,
 1590, 1510, 1520, -1, 1722, 1723, 1691, -1, 1722, 1691, 1690, -1,
 1690, 1691, 1646, -1, 1690, 1646, 1645, -1, 1645, 1646, 1606, -1,
 1645, 1606, 1605, -1, 1489, 1536, 1498, -1, 1498, 1536, 1553, -1,
 1498, 1553, 1507, -1, 1507, 1553, 1574, -1, 1507, 1574, 1517, -1,
 1517, 1574, 1587, -1, 1536, 1563, 1553, -1, 1553, 1563, 1632, -1,
 1553, 1632, 1574, -1, 1574, 1632, 1660, -1, 1574, 1660, 1587, -1,
 1587, 1660, 1669, -1, 1563, 1606, 1632, -1, 1632, 1606, 1646, -1,
 1632, 1646, 1660, -1, 1660, 1646, 1691, -1, 1660, 1691, 1669, -1,
 1669, 1691, 1723, -1, 1491, 1538, 1500, -1, 1500, 1538, 1555, -1,
 1500, 1555, 1509, -1, 1509, 1555, 1576, -1, 1509, 1576, 1519, -1,
 1519, 1576, 1589, -1, 1538, 1565, 1555, -1, 1555, 1565, 1634, -1,
 1555, 1634, 1576, -1, 1576, 1634, 1662, -1, 1576, 1662, 1589, -1,
 1589, 1662, 1671, -1, 1565, 1608, 1634, -1, 1634, 1608, 1648, -1,
 1634, 1648, 1662, -1, 1662, 1648, 1693, -1, 1662, 1693, 1671, -1,
 1671, 1693, 1725, -1, 1724, 1725, 1693, -1, 1724, 1693, 1692, -1,
 1692, 1693, 1648, -1, 1692, 1648, 1647, -1, 1647, 1648, 1608, -1,
 1647, 1608, 1607, -1, 1607, 1564, 1647, -1, 1647, 1564, 1633, -1,
 1647, 1633, 1692, -1, 1692, 1633, 1661, -1, 1692, 1661, 1724, -1,
 1724, 1661, 1670, -1, 1564, 1537, 1633, -1, 1633, 1537, 1554, -1,
 1633, 1554, 1661, -1, 1661, 1554, 1575, -1, 1661, 1575, 1670, -1,
 1670, 1575, 1588, -1, 1537, 1490, 1554, -1, 1554, 1490, 1499, -1,
 1554, 1499, 1575, -1, 1575, 1499, 1508, -1, 1575, 1508, 1588, -1,
 1588, 1508, 1518, -1, 1198, 1199, 1151, -1, 1198, 1151, 1150, -1,
 1150, 1151, 1050, -1, 1150, 1050, 1049, -1, 1049, 1050, 972, -1,
 1049, 972, 971, -1, 1199, 1266, 1151, -1, 1151, 1266, 1189, -1,
 1151, 1189, 1050, -1, 1050, 1189, 1141, -1, 1050, 1141, 972, -1,
 972, 1141, 1120, -1, 1266, 1319, 1189, -1, 1189, 1319, 1308, -1,
 1189, 1308, 1141, -1, 1141, 1308, 1256, -1, 1141, 1256, 1120, -1,
 1120, 1256, 1236, -1, 1319, 1365, 1308, -1, 1308, 1365, 1376, -1,
 1308, 1376, 1256, -1, 1256, 1376, 1387, -1, 1256, 1387, 1236, -1,
 1236, 1387, 1398, -1, 1201, 1268, 1153, -1, 1153, 1268, 1191, -1,
 1153, 1191, 1052, -1, 1052, 1191, 1143, -1, 1052, 1143, 974, -1,
 974, 1143, 1122, -1, 1268, 1321, 1191, -1, 1191, 1321, 1310, -1,
 1191, 1310, 1143, -1, 1143, 1310, 1258, -1, 1143, 1258, 1122, -1,
 1122, 1258, 1238, -1, 1321, 1367, 1310, -1, 1310, 1367, 1378, -1,
 1310, 1378, 1258, -1, 1258, 1378, 1389, -1, 1258, 1389, 1238, -1,
 1238, 1389, 1400, -1, 1200, 1201, 1153, -1, 1200, 1153, 1152, -1,
 1152, 1153, 1052, -1, 1152, 1052, 1051, -1, 1051, 1052, 974, -1,
 1051, 974, 973, -1, 1366, 1320, 1377, -1, 1377, 1320, 1309, -1,
 1377, 1309, 1388, -1, 1388, 1309, 1257, -1, 1388, 1257, 1399, -1,
 1399, 1257, 1237, -1, 1320, 1267, 1309, -1, 1309, 1267, 1190, -1,
 1309, 1190, 1257, -1, 1257, 1190, 1142, -1, 1257, 1142, 1237, -1,
 1237, 1142, 1121, -1, 1267, 1200, 1190, -1, 1190, 1200, 1152, -1,
 1190, 1152, 1142, -1, 1142, 1152, 1051, -1, 1142, 1051, 1121, -1,
 1121, 1051, 973, -1, 1468, 1467, 1475, -1, 1468, 1475, 1476, -1,
 1476, 1475, 1483, -1, 1476, 1483, 1484, -1, 1464, 1463, 1471, -1,
 1464, 1471, 1472, -1, 1472, 1471, 1479, -1, 1472, 1479, 1480, -1,
 1720, 1730, 1721, -1, 1721, 1730, 1731, -1, 1561, 1534, 1604, -1,
 1604, 1534, 1487, -1, 1317, 1264, 1363, -1, 1363, 1264, 1197, -1,
 1363, 1197, 1487, -1, 1487, 1197, 1603, -1, 1487, 1603, 1604, -1,
 1263, 1316, 1196, -1, 1196, 1316, 1362, -1, 1533, 1560, 1486, -1,
 1486, 1560, 1603, -1, 1486, 1603, 1362, -1, 1362, 1603, 1197, -1,
 1362, 1197, 1196, -1, 1360, 1601, 1602, -1, 1602, 1559, 1532, -1,
 1315, 1262, 1361, -1, 1361, 1262, 1195, -1, 1361, 1195, 1485, -1,
 1261, 1314, 1194, -1, 1194, 1314, 1360, -1, 1194, 1360, 1195, -1,
 1195, 1360, 1602, -1, 1195, 1602, 1485, -1, 1485, 1602, 1532, -1,
 1529, 1512, 1412, -1, 1412, 1512, 1393, -1, 1206, 1433, 1204, -1,
 1204, 1433, 1417, -1, 1433, 1206, 1208, -1, 1433, 1208, 1439, -1,
 1439, 1208, 1210, -1, 1439, 1210, 1447, -1, 1210, 1212, 1447, -1,
 1447, 1212, 1214, -1, 1447, 1214, 1454, -1, 1454, 1214, 1216, -1,
 1216, 1218, 1454, -1, 1454, 1218, 1220, -1, 1454, 1220, 1456, -1,
 1220, 1222, 1456, -1, 1456, 1222, 1224, -1, 1456, 1224, 1458, -1,
 1230, 1460, 1228, -1, 1228, 1460, 1458, -1, 1228, 1458, 1226, -1,
 1226, 1458, 1224, -1, 1408, 1394, 1465, -1, 1465, 1394, 1473, -1,
 1473, 1394, 1481, -1, 1481, 1394, 1513, -1, 1481, 1513, 1521, -1,
 1409, 1466, 1395, -1, 1395, 1466, 1474, -1, 1395, 1474, 1514, -1,
 1514, 1474, 1482, -1, 1514, 1482, 1522, -1, 1704, 1738, 1673, -1,
 1673, 1738, 1739, -1, 1710, 1674, 1739, -1, 1739, 1674, 1591, -1,
 1739, 1591, 1673, -1, 1522, 1482, 1481, -1, 1674, 1592, 1591, -1,
 1591, 1592, 1522, -1, 1591, 1522, 1521, -1, 1521, 1522, 1481, -1,
 1403, 1396, 1461, -1, 1461, 1396, 1469, -1, 1469, 1396, 1477, -1,
 1477, 1396, 1515, -1, 1477, 1515, 1523, -1, 1404, 1462, 1397, -1,
 1397, 1462, 1470, -1, 1397, 1470, 1516, -1, 1516, 1470, 1478, -1,
 1516, 1478, 1524, -1, 1741, 1711, 1740, -1, 1740, 1711, 1676, -1,
 1676, 1594, 1740, -1, 1740, 1594, 1675, -1, 1740, 1675, 1716, -1,
 1478, 1477, 1524, -1, 1524, 1477, 1523, -1, 1524, 1523, 1594, -1,
 1594, 1523, 1593, -1, 1594, 1593, 1675, -1, 978, 977, 1037, -1,
 1037, 977, 1126, -1, 1461, 1462, 1403, -1, 1403, 1462, 1404, -1,
 1403, 1404, 1241, -1, 1241, 1404, 1242, -1, 1241, 1242, 1125, -1,
 1125, 1242, 1126, -1, 1125, 1126, 1036, -1, 1036, 1126, 977, -1,
 986, 1040, 987, -1, 987, 1040, 1130, -1, 987, 1130, 1041, -1,
 1465, 1466, 1408, -1, 1408, 1466, 1409, -1, 1408, 1409, 1246, -1,
 1246, 1409, 1247, -1, 1246, 1247, 1130, -1, 1130, 1247, 1131, -1,
 1130, 1131, 1041, -1, 1773, 1747, 1738, -1, 1799, 1791, 1738, -1,
 1738, 1791, 1781, -1, 1738, 1781, 1773, -1, 1851, 1861, 1833, -1,
 1833, 1861, 1841, -1, 1833, 1841, 1825, -1, 1825, 1841, 1815, -1,
 1815, 1841, 1807, -1, 1807, 1841, 1799, -1, 1807, 1799, 1763, -1,
 1763, 1799, 1702, -1, 1702, 1799, 1738, -1, 1702, 1738, 1704, -1,
 1832, 1850, 1833, -1, 1833, 1850, 1851, -1, 1832, 1824, 1814, -1,
 1860, 1850, 1840, -1, 1840, 1850, 1832, -1, 1728, 1746, 1762, -1,
 1762, 1746, 1772, -1, 1832, 1814, 1840, -1, 1840, 1814, 1806, -1,
 1840, 1806, 1798, -1, 1798, 1806, 1762, -1, 1798, 1762, 1790, -1,
 1790, 1762, 1772, -1, 1790, 1772, 1780, -1, 1772, 1746, 1773, -1,
 1773, 1746, 1747, -1, 1851, 1850, 1861, -1, 1861, 1850, 1860, -1,
 1775, 1749, 1740, -1, 1801, 1793, 1740, -1, 1740, 1793, 1783, -1,
 1740, 1783, 1775, -1, 1853, 1863, 1835, -1, 1835, 1863, 1843, -1,
 1835, 1843, 1827, -1, 1827, 1843, 1817, -1, 1817, 1843, 1809, -1,
 1809, 1843, 1801, -1, 1809, 1801, 1765, -1, 1765, 1801, 1714, -1,
 1714, 1801, 1740, -1, 1714, 1740, 1716, -1, 1834, 1852, 1835, -1,
 1835, 1852, 1853, -1, 1834, 1826, 1816, -1, 1706, 1710, 1739, -1,
 1862, 1852, 1842, -1, 1842, 1852, 1834, -1, 1706, 1739, 1764, -1,
 1764, 1739, 1748, -1, 1764, 1748, 1774, -1, 1834, 1816, 1842, -1,
 1842, 1816, 1808, -1, 1842, 1808, 1800, -1, 1800, 1808, 1764, -1,
 1800, 1764, 1792, -1, 1792, 1764, 1774, -1, 1792, 1774, 1782, -1,
 1774, 1748, 1775, -1, 1775, 1748, 1749, -1, 1853, 1852, 1863, -1,
 1863, 1852, 1862, -1, 1766, 1707, 1741, -1, 1741, 1707, 1711, -1,
 1741, 1750, 1766, -1, 1766, 1750, 1788, -1, 1766, 1788, 1822, -1,
 1822, 1788, 1844, -1, 1822, 1844, 1854, -1, 1854, 1844, 1864, -1,
 1730, 1706, 1764, -1, 1730, 1764, 1731, -1, 1731, 1764, 1765, -1,
 1731, 1765, 1714, -1, 1809, 1765, 1808, -1, 1808, 1765, 1764, -1,
 1728, 1762, 1729, -1, 1729, 1762, 1763, -1, 1729, 1763, 1702, -1,
 1807, 1763, 1806, -1, 1806, 1763, 1762, -1, 1842, 1843, 1862, -1,
 1862, 1843, 1863, -1, 1801, 1843, 1800, -1, 1800, 1843, 1842, -1,
 1799, 1841, 1798, -1, 1798, 1841, 1840, -1, 1840, 1841, 1860, -1,
 1860, 1841, 1861, -1, 1809, 1808, 1816, -1, 1809, 1816, 1817, -1,
 1817, 1816, 1826, -1, 1817, 1826, 1827, -1, 1827, 1826, 1834, -1,
 1827, 1834, 1835, -1, 1807, 1806, 1814, -1, 1807, 1814, 1815, -1,
 1815, 1814, 1824, -1, 1815, 1824, 1825, -1, 1825, 1824, 1832, -1,
 1825, 1832, 1833, -1, 1801, 1800, 1792, -1, 1801, 1792, 1793, -1,
 1793, 1792, 1782, -1, 1793, 1782, 1783, -1, 1783, 1782, 1774, -1,
 1783, 1774, 1775, -1, 1799, 1798, 1790, -1, 1799, 1790, 1791, -1,
 1791, 1790, 1780, -1, 1791, 1780, 1781, -1, 1781, 1780, 1772, -1,
 1781, 1772, 1773, -1, 1397, 1516, 1506, -1, 1397, 1506, 1386, -1,
 1386, 1506, 1497, -1, 1386, 1497, 1375, -1, 1375, 1497, 1488, -1,
 1375, 1488, 1364, -1, 1515, 1396, 1385, -1, 1515, 1385, 1505, -1,
 1505, 1385, 1374, -1, 1505, 1374, 1496, -1, 1496, 1374, 1363, -1,
 1496, 1363, 1487, -1, 1395, 1514, 1504, -1, 1395, 1504, 1384, -1,
 1384, 1504, 1495, -1, 1384, 1495, 1373, -1, 1373, 1495, 1486, -1,
 1373, 1486, 1362, -1, 1394, 1392, 1513, -1, 1513, 1392, 1511, -1,
 1511, 1392, 1503, -1, 1503, 1392, 1383, -1, 1503, 1383, 1502, -1,
 1502, 1383, 1381, -1, 1502, 1381, 1494, -1, 1494, 1381, 1372, -1,
 1494, 1372, 1493, -1, 1372, 1370, 1493, -1, 1493, 1370, 1361, -1,
 1493, 1361, 1485, -1, 1578, 1580, 1611, -1, 1611, 1580, 1581, -1,
 1611, 1581, 1613, -1, 1382, 1546, 1371, -1, 1371, 1546, 1558, -1,
 1371, 1558, 1578, -1, 1393, 1512, 1382, -1, 1382, 1512, 1530, -1,
 1530, 1531, 1382, -1, 1382, 1531, 1544, -1, 1382, 1544, 1546, -1,
 1578, 1611, 1371, -1, 1371, 1611, 1601, -1, 1371, 1601, 1360, -1,
 1404, 1397, 1235, -1, 1404, 1235, 1242, -1, 1242, 1235, 1119, -1,
 1242, 1119, 1126, -1, 1126, 1119, 1037, -1, 1037, 1119, 971, -1,
 1037, 971, 978, -1, 1732, 1722, 1707, -1, 1707, 1722, 1668, -1,
 1707, 1668, 1711, -1, 1711, 1668, 1676, -1, 1676, 1668, 1586, -1,
 1676, 1586, 1594, -1, 1594, 1586, 1516, -1, 1594, 1516, 1524, -1,
 1714, 1716, 1675, -1, 1721, 1731, 1667, -1, 1667, 1731, 1714, -1,
 1714, 1675, 1667, -1, 1667, 1675, 1593, -1, 1667, 1593, 1585, -1,
 1585, 1593, 1523, -1, 1585, 1523, 1515, -1, 977, 970, 1036, -1,
 1036, 970, 1118, -1, 1036, 1118, 1125, -1, 1125, 1118, 1234, -1,
 1125, 1234, 1241, -1, 1241, 1234, 1396, -1, 1241, 1396, 1403, -1,
 1409, 1395, 1233, -1, 1409, 1233, 1247, -1, 1247, 1233, 1117, -1,
 1247, 1117, 1131, -1, 1131, 1117, 1041, -1, 1041, 1117, 969, -1,
 1041, 969, 987, -1, 1730, 1720, 1706, -1, 1706, 1720, 1666, -1,
 1706, 1666, 1710, -1, 1710, 1666, 1674, -1, 1674, 1666, 1584, -1,
 1674, 1584, 1592, -1, 1592, 1584, 1514, -1, 1592, 1514, 1522, -1,
 1702, 1704, 1673, -1, 1719, 1729, 1665, -1, 1665, 1729, 1702, -1,
 1702, 1673, 1665, -1, 1665, 1673, 1591, -1, 1665, 1591, 1583, -1,
 1583, 1591, 1521, -1, 1583, 1521, 1513, -1, 1040, 986, 968, -1,
 1040, 968, 1130, -1, 968, 1116, 1130, -1, 1130, 1116, 1232, -1,
 1130, 1232, 1246, -1, 1246, 1232, 1394, -1, 1246, 1394, 1408, -1,
 1183, 1230, 1228, -1, 1082, 1135, 1180, -1, 1180, 1135, 1182, -1,
 1180, 1182, 1183, -1, 1035, 1081, 1079, -1, 1079, 1081, 1082, -1,
 1032, 1034, 1035, -1, 1035, 1079, 1032, -1, 1032, 1079, 1077, -1,
 1032, 1077, 1030, -1, 1030, 1077, 1075, -1, 1030, 1075, 1028, -1,
 1028, 1075, 1073, -1, 1028, 1073, 1026, -1, 1026, 1073, 1071, -1,
 1026, 1071, 1024, -1, 1024, 1071, 1069, -1, 1024, 1069, 1022, -1,
 1022, 1069, 1067, -1, 1022, 1067, 1017, -1, 1017, 1067, 1065, -1,
 1017, 1065, 1013, -1, 1013, 1065, 1063, -1, 1013, 1063, 1010, -1,
 1010, 1063, 1061, -1, 1010, 1061, 1007, -1, 1007, 1061, 1059, -1,
 1007, 1059, 1004, -1, 1004, 1059, 1057, -1, 1004, 1057, 1001, -1,
 1082, 1180, 1079, -1, 1079, 1180, 1178, -1, 1079, 1178, 1077, -1,
 1077, 1178, 1176, -1, 1077, 1176, 1075, -1, 1075, 1176, 1174, -1,
 1075, 1174, 1073, -1, 1073, 1174, 1172, -1, 1073, 1172, 1071, -1,
 1071, 1172, 1170, -1, 1071, 1170, 1069, -1, 1069, 1170, 1168, -1,
 1069, 1168, 1067, -1, 1067, 1168, 1166, -1, 1067, 1166, 1065, -1,
 1065, 1166, 1164, -1, 1065, 1164, 1063, -1, 1063, 1164, 1162, -1,
 1063, 1162, 1061, -1, 1061, 1162, 1160, -1, 1061, 1160, 1059, -1,
 1059, 1160, 1158, -1, 1059, 1158, 1057, -1, 1183, 1228, 1180, -1,
 1180, 1228, 1226, -1, 1180, 1226, 1178, -1, 1178, 1226, 1224, -1,
 1178, 1224, 1176, -1, 1176, 1224, 1222, -1, 1176, 1222, 1174, -1,
 1174, 1222, 1220, -1, 1174, 1220, 1172, -1, 1172, 1220, 1218, -1,
 1172, 1218, 1170, -1, 1170, 1218, 1216, -1, 1170, 1216, 1168, -1,
 1168, 1216, 1214, -1, 1168, 1214, 1166, -1, 1166, 1214, 1212, -1,
 1166, 1212, 1164, -1, 1164, 1212, 1210, -1, 1164, 1210, 1162, -1,
 1162, 1210, 1208, -1, 1162, 1208, 1160, -1, 1160, 1208, 1206, -1,
 1160, 1206, 1158, -1, 1206, 1204, 1156, -1, 1206, 1156, 1158, -1,
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