//using notation of T. Czerwinski and D. Oakden Journal of
//Combinatorial Theory Series A, 59 (1992), 193--217
//A2 is on page

 pplines:=
[
    { 30, 43, 100, 118, 125, 137, 177, 193, 198, 209, 235, 273, 337, 372, 390, 
    433, 497, 499, 508, 541, 550, 572, 603, 609, 615, 648 },
    { 4, 10, 14, 29, 45, 49, 52, 84, 121, 133, 198, 201, 222, 231, 245, 247, 287, 
    336, 367, 383, 402, 452, 464, 466, 523, 637 },
    { 42, 58, 64, 80, 83, 85, 91, 107, 108, 124, 146, 151, 178, 222, 232, 262, 
    285, 423, 433, 459, 479, 540, 547, 586, 625, 651 },
    { 23, 82, 93, 94, 149, 179, 180, 213, 261, 338, 363, 364, 367, 372, 384, 417, 
    434, 443, 459, 469, 506, 534, 571, 616, 623, 634 },
    { 19, 47, 67, 91, 120, 126, 135, 154, 201, 215, 250, 263, 325, 330, 359, 382, 
    422, 434, 440, 491, 495, 526, 532, 587, 609, 631 },
    { 20, 22, 29, 42, 57, 59, 60, 117, 120, 149, 170, 219, 252, 312, 329, 391, 
    428, 445, 481, 514, 529, 555, 561, 603, 606, 647 },
    { 17, 40, 51, 70, 101, 118, 144, 147, 149, 154, 156, 188, 226, 234, 275, 299, 
    326, 340, 354, 407, 464, 474, 515, 524, 547, 633 },
    { 6, 22, 25, 55, 88, 92, 102, 155, 160, 185, 217, 231, 292, 311, 322, 343, 
    350, 359, 401, 407, 433, 443, 468, 509, 582, 630 },
    { 83, 103, 139, 143, 157, 167, 219, 223, 243, 293, 298, 299, 317, 319, 352, 
    359, 367, 394, 403, 409, 455, 461, 486, 508, 602, 639 },
    { 43, 48, 53, 56, 84, 87, 88, 126, 136, 167, 202, 212, 234, 280, 320, 346, 
    358, 412, 423, 425, 483, 529, 534, 536, 544, 644 },
    { 19, 89, 93, 125, 141, 161, 167, 255, 265, 290, 328, 373, 420, 429, 442, 452,
    472, 528, 540, 555, 576, 580, 582, 598, 618, 633 },
    { 56, 78, 82, 92, 96, 111, 196, 241, 268, 270, 272, 290, 306, 371, 378, 393, 
    395, 437, 466, 486, 514, 530, 547, 597, 609, 649 },
    { 132, 161, 190, 206, 233, 287, 313, 340, 343, 353, 379, 382, 421, 470, 481, 
    505, 507, 508, 512, 527, 534, 537, 545, 557, 625, 649 },
    { 20, 55, 95, 106, 111, 119, 156, 177, 221, 232, 251, 319, 402, 436, 469, 493,
    496, 519, 527, 528, 532, 542, 548, 588, 611, 644 },
    { 2, 56, 77, 86, 94, 107, 156, 175, 237, 248, 269, 271, 330, 350, 394, 408, 
    421, 444, 452, 503, 522, 563, 590, 593, 603, 627 },
    { 76, 86, 101, 116, 119, 130, 134, 172, 198, 206, 211, 270, 282, 323, 324, 
    328, 345, 359, 364, 370, 423, 543, 579, 584, 606, 641 },
    { 4, 11, 23, 60, 76, 102, 125, 136, 139, 174, 192, 257, 285, 326, 331, 339, 
    399, 437, 496, 520, 522, 533, 545, 574, 589, 631 },
    { 8, 11, 21, 31, 42, 133, 144, 153, 171, 233, 244, 258, 270, 273, 279, 308, 
    321, 394, 434, 468, 480, 544, 548, 573, 598, 629 },
    { 1, 58, 60, 113, 138, 169, 184, 186, 193, 206, 212, 255, 276, 319, 344, 350, 
    432, 434, 460, 466, 524, 535, 552, 566, 600, 646 },
    { 6, 15, 31, 44, 57, 62, 107, 123, 134, 137, 234, 245, 284, 290, 291, 307, 
    319, 325, 331, 384, 392, 498, 505, 549, 568, 636 },
    { 15, 21, 97, 111, 151, 174, 185, 215, 219, 235, 264, 269, 295, 302, 314, 354,
    364, 387, 389, 470, 510, 523, 536, 566, 618, 638 },
    { 7, 23, 32, 43, 96, 121, 140, 175, 178, 210, 211, 223, 230, 291, 311, 321, 
    341, 382, 450, 463, 493, 502, 524, 555, 570, 638 },
    { 13, 18, 20, 24, 27, 36, 58, 86, 144, 160, 216, 278, 302, 304, 325, 358, 373,
    416, 486, 502, 512, 550, 558, 571, 589, 637 },
    { 16, 61, 123, 131, 136, 150, 170, 205, 237, 286, 299, 323, 344, 349, 378, 
    417, 433, 491, 512, 523, 542, 556, 570, 598, 605, 650 },
    { 77, 88, 146, 210, 246, 257, 273, 288, 328, 383, 384, 387, 405, 467, 511, 
    512, 513, 514, 515, 518, 531, 532, 535, 551, 602, 628 },
    { 7, 19, 45, 53, 65, 104, 134, 155, 159, 184, 242, 269, 306, 355, 362, 379, 
    417, 461, 479, 515, 520, 548, 550, 561, 585, 626 },
    { 27, 32, 46, 47, 53, 85, 116, 170, 176, 245, 273, 281, 293, 314, 316, 342, 
    350, 363, 430, 437, 441, 489, 527, 612, 620, 633 },
    { 1, 2, 4, 34, 48, 66, 95, 143, 154, 176, 189, 246, 356, 364, 373, 374, 377, 
    392, 395, 433, 450, 507, 561, 573, 583, 632 },
    { 35, 42, 125, 154, 158, 169, 194, 216, 229, 298, 336, 342, 343, 345, 362, 
    371, 384, 446, 457, 483, 503, 542, 553, 610, 613, 638 },
    { 10, 37, 57, 69, 83, 100, 102, 126, 171, 173, 181, 191, 196, 206, 269, 288, 
    327, 363, 413, 429, 454, 474, 502, 504, 542, 632 },
    { 12, 15, 71, 89, 101, 173, 192, 205, 263, 296, 308, 337, 350, 386, 403, 438, 
    450, 477, 479, 514, 517, 534, 564, 588, 613, 637 },
    { 15, 60, 66, 77, 99, 161, 209, 230, 258, 259, 260, 261, 262, 277, 278, 281, 
    347, 359, 362, 378, 419, 426, 454, 464, 594, 644 },
    { 7, 10, 81, 109, 123, 143, 160, 253, 262, 265, 276, 312, 354, 406, 449, 469, 
    489, 517, 533, 537, 544, 551, 553, 563, 609, 641 },
    { 6, 29, 66, 94, 122, 144, 168, 199, 203, 215, 255, 288, 300, 366, 371, 398, 
    423, 461, 473, 478, 527, 533, 564, 570, 624, 648 },
    { 38, 47, 63, 81, 94, 121, 139, 196, 234, 246, 277, 282, 302, 332, 343, 349, 
    385, 445, 472, 479, 480, 499, 559, 577, 611, 646 },
    { 2, 25, 46, 50, 123, 174, 177, 202, 211, 229, 242, 288, 301, 313, 317, 334, 
    376, 419, 428, 434, 539, 547, 559, 576, 592, 637 },
    { 11, 26, 124, 130, 208, 224, 269, 299, 310, 335, 384, 410, 416, 466, 488, 
    489, 492, 497, 507, 509, 539, 555, 564, 577, 587, 644 },
    { 5, 27, 59, 62, 64, 140, 152, 171, 208, 237, 242, 315, 324, 386, 395, 439, 
    443, 464, 472, 508, 532, 533, 536, 552, 610, 645 },
    { 53, 71, 129, 178, 206, 215, 259, 331, 332, 336, 376, 381, 407, 424, 436, 
    439, 486, 492, 551, 560, 575, 583, 598, 603, 623, 640 },
    { 5, 7, 8, 12, 14, 20, 44, 46, 51, 83, 113, 125, 182, 185, 332, 369, 378, 398,
    412, 456, 506, 507, 511, 526, 584, 627 },
    { 12, 31, 85, 131, 156, 195, 207, 231, 240, 313, 320, 364, 432, 440, 453, 454,
    458, 467, 478, 486, 499, 520, 553, 555, 567, 645 },
    { 26, 56, 75, 147, 151, 160, 161, 201, 288, 293, 294, 315, 323, 329, 331, 338,
    400, 450, 456, 457, 460, 476, 487, 499, 548, 635 },
    { 43, 105, 108, 132, 139, 154, 160, 195, 200, 203, 228, 245, 269, 279, 328, 
    334, 361, 378, 391, 451, 482, 552, 560, 588, 622, 634 },
    { 9, 19, 83, 95, 112, 150, 153, 160, 175, 180, 234, 267, 281, 309, 324, 336, 
    351, 404, 432, 470, 514, 521, 539, 574, 614, 648 },
    { 6, 14, 27, 38, 149, 151, 167, 211, 248, 305, 318, 356, 362, 380, 432, 462, 
    491, 497, 504, 530, 545, 551, 588, 595, 619, 629 },
    { 4, 20, 54, 64, 72, 81, 104, 166, 211, 233, 261, 264, 266, 280, 284, 299, 
    350, 361, 365, 381, 422, 429, 457, 467, 597, 648 },
    { 1, 29, 31, 38, 67, 96, 115, 124, 136, 160, 163, 188, 242, 261, 314, 327, 
    353, 360, 436, 477, 503, 518, 541, 580, 584, 639 },
    { 14, 37, 65, 71, 72, 96, 144, 186, 207, 281, 328, 329, 335, 421, 433, 446, 
    455, 469, 484, 490, 500, 536, 549, 559, 621, 631 },
    { 10, 17, 20, 31, 32, 79, 128, 141, 203, 205, 285, 330, 343, 355, 370, 372, 
    377, 409, 426, 530, 535, 536, 539, 562, 575, 635 },
    { 3, 13, 42, 78, 101, 109, 121, 132, 136, 224, 256, 266, 281, 303, 319, 330, 
    387, 398, 443, 453, 476, 504, 576, 583, 615, 626 },
    { 4, 44, 47, 103, 122, 204, 220, 279, 311, 324, 329, 354, 419, 444, 453, 492, 
    494, 530, 531, 534, 542, 550, 580, 600, 607, 651 },
    { 8, 40, 43, 81, 93, 98, 107, 145, 162, 215, 224, 243, 260, 292, 353, 395, 
    462, 487, 490, 520, 521, 535, 542, 606, 620, 637 },
    { 29, 48, 51, 82, 153, 174, 178, 191, 195, 292, 315, 316, 319, 337, 357, 362, 
    396, 422, 442, 444, 484, 512, 562, 577, 596, 641 },
    { 99, 121, 153, 182, 207, 214, 219, 288, 326, 345, 346, 350, 372, 380, 395, 
    397, 420, 436, 451, 498, 537, 558, 585, 587, 605, 651 },
    { 18, 28, 44, 74, 149, 171, 174, 183, 184, 243, 249, 281, 286, 343, 361, 411, 
    423, 436, 450, 452, 458, 488, 501, 569, 609, 628 },
    { 21, 45, 96, 107, 125, 126, 143, 226, 283, 294, 296, 304, 370, 381, 414, 419,
    432, 441, 443, 473, 481, 519, 577, 605, 622, 628 },
    { 31, 46, 70, 71, 93, 108, 127, 208, 212, 219, 277, 311, 374, 402, 404, 413, 
    427, 457, 473, 512, 522, 579, 599, 609, 619, 626 },
    { 25, 67, 77, 81, 128, 144, 157, 170, 179, 189, 191, 198, 225, 232, 238, 290, 
    296, 404, 412, 458, 476, 492, 545, 552, 585, 638 },
    { 22, 48, 70, 125, 197, 215, 242, 245, 268, 271, 274, 282, 309, 347, 397, 409,
    438, 467, 469, 476, 488, 502, 556, 600, 625, 629 },
    { 12, 42, 50, 86, 102, 112, 167, 218, 227, 246, 261, 315, 355, 397, 431, 465, 
    490, 492, 516, 523, 524, 527, 538, 609, 622, 636 },
    { 1, 40, 49, 73, 126, 127, 131, 185, 190, 211, 251, 253, 254, 257, 271, 279, 
    281, 290, 315, 372, 416, 445, 461, 586, 613, 640 },
    { 1, 7, 18, 21, 94, 129, 148, 228, 239, 285, 313, 346, 422, 430, 455, 464, 
    476, 497, 514, 525, 542, 578, 579, 582, 601, 636 },
    { 39, 42, 44, 71, 81, 92, 175, 201, 254, 255, 305, 327, 364, 375, 441, 451, 
    508, 515, 525, 556, 562, 581, 589, 592, 604, 644 },
    { 25, 32, 113, 118, 132, 152, 166, 214, 220, 247, 250, 262, 286, 331, 358, 
    364, 413, 447, 461, 490, 503, 514, 528, 577, 608, 629 },
    { 12, 66, 72, 91, 121, 137, 145, 163, 179, 229, 254, 269, 283, 297, 318, 324, 
    407, 409, 437, 460, 501, 512, 528, 544, 601, 647 },
    { 44, 48, 80, 104, 116, 120, 156, 160, 162, 169, 196, 208, 218, 230, 247, 283,
    301, 372, 387, 403, 545, 578, 598, 621, 624, 642 },
    { 14, 48, 124, 135, 159, 170, 216, 241, 251, 277, 313, 331, 394, 443, 451, 
    463, 474, 501, 516, 517, 535, 543, 565, 607, 618, 648 },
    { 22, 35, 62, 95, 146, 161, 162, 188, 192, 211, 225, 244, 269, 303, 358, 367, 
    369, 430, 478, 484, 575, 604, 605, 607, 609, 646 },
    { 50, 61, 89, 94, 104, 109, 146, 154, 171, 182, 186, 198, 260, 305, 311, 314, 
    331, 351, 357, 409, 416, 519, 529, 567, 591, 649 },
    { 16, 28, 35, 41, 58, 73, 90, 115, 167, 198, 199, 208, 264, 316, 330, 341, 
    407, 419, 451, 456, 469, 480, 505, 514, 520, 632 },
    { 3, 55, 125, 145, 247, 299, 300, 302, 379, 404, 430, 431, 434, 435, 439, 450,
    451, 454, 471, 518, 529, 530, 549, 586, 593, 641 },
    { 3, 39, 64, 65, 93, 103, 115, 150, 156, 174, 206, 245, 246, 250, 258, 296, 
    312, 318, 346, 369, 371, 401, 416, 463, 572, 635 },
    { 41, 51, 66, 103, 129, 136, 151, 159, 236, 247, 274, 308, 370, 384, 421, 429,
    445, 493, 521, 552, 558, 567, 592, 609, 612, 630 },
    { 51, 109, 200, 217, 230, 273, 324, 325, 346, 408, 431, 457, 458, 459, 461, 
    462, 466, 477, 481, 496, 546, 556, 559, 575, 618, 632 },
    { 7, 17, 36, 75, 112, 117, 146, 176, 191, 193, 200, 207, 215, 247, 270, 317, 
    318, 349, 365, 411, 443, 505, 522, 580, 613, 644 },
    { 18, 35, 47, 50, 60, 64, 101, 111, 127, 137, 141, 247, 292, 294, 309, 320, 
    327, 333, 394, 500, 507, 546, 551, 570, 585, 634 },
    { 1, 24, 78, 107, 150, 168, 207, 208, 210, 225, 287, 332, 333, 334, 337, 338, 
    342, 354, 355, 359, 375, 429, 496, 501, 529, 629 },
    { 14, 30, 35, 77, 79, 112, 139, 163, 202, 206, 213, 266, 286, 325, 354, 357, 
    366, 395, 427, 438, 441, 548, 555, 578, 586, 630 },
    { 3, 11, 54, 84, 154, 184, 185, 205, 225, 262, 288, 309, 418, 441, 444, 462, 
    472, 486, 493, 505, 516, 541, 579, 616, 621, 647 },
    { 38, 43, 55, 78, 103, 104, 127, 138, 153, 170, 173, 229, 304, 364, 366, 400, 
    449, 464, 488, 505, 511, 538, 540, 575, 590, 631 },
    { 47, 58, 114, 132, 191, 229, 240, 260, 271, 312, 367, 368, 388, 450, 473, 
    496, 497, 498, 515, 516, 536, 584, 597, 598, 614, 630 },
    { 35, 107, 118, 138, 174, 182, 203, 231, 321, 324, 352, 360, 363, 373, 379, 
    424, 445, 465, 476, 491, 513, 517, 597, 599, 621, 644 },
    { 32, 34, 70, 103, 148, 171, 193, 195, 199, 201, 202, 216, 256, 261, 290, 297,
    435, 470, 479, 496, 509, 551, 605, 606, 621, 627 },
    { 3, 9, 30, 94, 119, 126, 128, 166, 197, 208, 229, 231, 293, 308, 353, 378, 
    411, 484, 524, 551, 554, 561, 568, 589, 618, 651 },
    { 62, 124, 144, 184, 201, 239, 246, 264, 311, 317, 320, 339, 342, 372, 378, 
    388, 415, 424, 438, 475, 481, 504, 521, 528, 590, 641 },
    { 46, 69, 72, 120, 132, 151, 168, 204, 213, 278, 290, 322, 336, 346, 349, 377,
    386, 394, 488, 513, 519, 520, 524, 541, 604, 641 },
    { 11, 98, 134, 169, 202, 238, 246, 281, 337, 360, 365, 367, 391, 400, 407, 
    413, 519, 525, 526, 530, 558, 563, 570, 618, 625, 645 },
    { 62, 81, 82, 85, 117, 136, 147, 148, 185, 203, 206, 229, 267, 341, 374, 403, 
    405, 431, 452, 500, 519, 550, 565, 587, 594, 629 },
    { 47, 89, 113, 134, 140, 142, 143, 144, 150, 151, 177, 181, 183, 190, 224, 
    231, 261, 268, 405, 451, 483, 522, 575, 578, 596, 647 },
    { 2, 19, 75, 108, 115, 129, 152, 173, 216, 231, 233, 252, 260, 282, 319, 335, 
    354, 372, 412, 418, 431, 437, 570, 595, 604, 628 },
    { 8, 50, 52, 90, 110, 131, 140, 149, 160, 206, 214, 225, 274, 298, 377, 422, 
    437, 448, 473, 479, 531, 549, 590, 615, 618, 644 },
    { 2, 3, 7, 24, 31, 33, 40, 69, 99, 111, 167, 170, 186, 192, 194, 201, 324, 
    361, 390, 405, 448, 577, 623, 624, 625, 630 },
    { 23, 28, 39, 108, 119, 169, 191, 204, 217, 248, 314, 355, 405, 438, 445, 464,
    486, 487, 495, 507, 544, 549, 576, 605, 608, 648 },
    { 38, 70, 82, 84, 90, 123, 129, 132, 146, 181, 189, 235, 243, 251, 258, 294, 
    300, 324, 350, 355, 415, 446, 526, 555, 589, 642 },
    { 33, 86, 104, 176, 177, 185, 199, 250, 275, 277, 287, 298, 327, 344, 386, 
    399, 459, 476, 484, 498, 521, 530, 544, 555, 560, 628 },
    { 31, 51, 52, 78, 95, 120, 166, 187, 227, 257, 260, 294, 318, 344, 363, 376, 
    423, 438, 451, 455, 472, 509, 550, 557, 563, 638 },
    { 4, 30, 62, 67, 69, 86, 108, 145, 149, 207, 256, 294, 316, 347, 385, 401, 
    461, 483, 493, 511, 517, 525, 539, 566, 598, 649 },
    { 57, 73, 109, 112, 144, 155, 222, 277, 333, 353, 361, 364, 376, 403, 425, 
    437, 442, 493, 497, 513, 526, 593, 600, 605, 610, 635 },
    { 14, 40, 68, 138, 157, 161, 165, 177, 195, 284, 308, 309, 311, 312, 349, 355,
    387, 414, 423, 437, 439, 503, 525, 571, 587, 632 },
    { 49, 64, 88, 90, 96, 109, 139, 169, 170, 215, 249, 289, 308, 338, 340, 356, 
    454, 465, 498, 528, 539, 550, 579, 596, 604, 627 },
    { 79, 147, 169, 180, 181, 192, 198, 207, 220, 236, 242, 254, 291, 302, 312, 
    378, 394, 422, 425, 462, 509, 527, 540, 583, 599, 628 },
    { 8, 39, 61, 70, 135, 141, 213, 231, 269, 276, 304, 315, 342, 365, 390, 423, 
    471, 493, 494, 498, 514, 545, 559, 583, 594, 639 },
    { 10, 11, 41, 44, 77, 91, 111, 138, 200, 211, 216, 267, 353, 386, 397, 401, 
    415, 417, 455, 473, 499, 529, 583, 596, 608, 633 },
    { 11, 61, 63, 96, 112, 132, 137, 156, 199, 239, 253, 274, 359, 363, 380, 405, 
    412, 439, 457, 540, 561, 562, 566, 569, 607, 637 },
    { 27, 92, 93, 120, 131, 143, 158, 178, 186, 202, 220, 221, 269, 308, 326, 333,
    383, 385, 415, 426, 431, 476, 505, 569, 584, 648 },
    { 43, 71, 119, 151, 188, 199, 233, 257, 267, 286, 301, 312, 342, 348, 373, 
    385, 409, 443, 444, 448, 454, 466, 526, 585, 617, 636 },
    { 47, 69, 80, 93, 153, 185, 198, 216, 223, 226, 239, 272, 286, 303, 355, 356, 
    376, 391, 421, 460, 467, 471, 477, 533, 568, 644 },
    { 11, 36, 46, 79, 103, 126, 149, 155, 178, 189, 194, 209, 237, 276, 282, 287, 
    351, 387, 451, 477, 478, 487, 500, 528, 597, 636 },
    { 15, 39, 114, 130, 145, 170, 223, 267, 287, 322, 358, 360, 372, 398, 422, 
    446, 472, 522, 547, 548, 551, 567, 569, 600, 622, 632 },
    { 6, 72, 95, 105, 124, 173, 202, 209, 226, 247, 298, 312, 315, 321, 330, 332, 
    389, 405, 417, 420, 458, 579, 589, 600, 620, 649 },
    { 25, 28, 40, 54, 105, 112, 120, 125, 134, 148, 223, 258, 327, 338, 466, 478, 
    512, 517, 536, 583, 590, 591, 595, 611, 612, 651 },
    { 21, 85, 103, 160, 177, 191, 192, 280, 305, 307, 330, 340, 345, 347, 415, 
    427, 466, 471, 472, 490, 501, 506, 513, 561, 570, 640 },
    { 12, 22, 39, 80, 126, 133, 147, 183, 235, 266, 277, 306, 373, 380, 455, 496, 
    503, 505, 531, 539, 552, 570, 591, 620, 623, 641 },
    { 42, 46, 63, 76, 88, 150, 193, 214, 223, 236, 263, 269, 284, 294, 353, 357, 
    373, 388, 418, 458, 464, 469, 530, 565, 624, 640 },
    { 1, 20, 43, 69, 85, 92, 109, 134, 135, 161, 174, 180, 237, 247, 275, 297, 
    380, 418, 438, 446, 473, 480, 492, 554, 602, 643 },
    { 10, 67, 140, 167, 182, 220, 233, 281, 292, 295, 304, 349, 384, 438, 460, 
    478, 496, 547, 560, 561, 565, 572, 579, 581, 593, 642 },
    { 4, 33, 53, 58, 130, 131, 147, 168, 173, 182, 248, 258, 307, 309, 353, 391, 
    435, 443, 485, 528, 559, 562, 578, 602, 609, 638 },
    { 5, 35, 49, 55, 70, 81, 87, 124, 180, 183, 186, 200, 223, 248, 250, 278, 288,
    337, 370, 437, 453, 510, 557, 561, 598, 636 },
    { 19, 21, 28, 46, 49, 61, 86, 122, 163, 166, 210, 241, 292, 312, 326, 392, 
    403, 435, 446, 499, 504, 552, 575, 616, 625, 644 },
    { 2, 15, 72, 141, 160, 198, 212, 256, 306, 310, 326, 388, 411, 439, 441, 445, 
    459, 463, 478, 526, 538, 542, 557, 596, 602, 629 },
    { 8, 62, 155, 156, 158, 163, 165, 173, 198, 200, 204, 219, 268, 280, 281, 285,
    300, 338, 344, 373, 382, 516, 551, 577, 592, 643 },
    { 4, 7, 27, 74, 77, 124, 126, 132, 141, 153, 164, 177, 227, 295, 338, 348, 
    371, 403, 407, 418, 549, 556, 567, 599, 606, 646 },
    { 30, 32, 39, 68, 82, 87, 134, 160, 182, 194, 215, 252, 257, 299, 333, 386, 
    402, 419, 421, 458, 504, 516, 540, 573, 601, 646 },
    { 10, 13, 33, 89, 90, 119, 120, 124, 155, 157, 174, 193, 234, 240, 254, 259, 
    395, 421, 430, 457, 494, 511, 570, 616, 622, 629 },
    { 18, 23, 38, 65, 92, 95, 126, 195, 198, 214, 307, 317, 354, 386, 398, 410, 
    457, 465, 535, 593, 594, 598, 612, 617, 625, 647 },
    { 6, 79, 129, 135, 138, 142, 145, 171, 175, 176, 225, 257, 278, 306, 320, 340,
    391, 403, 457, 469, 523, 572, 576, 577, 584, 651 },
    { 13, 100, 103, 134, 163, 164, 203, 239, 277, 315, 350, 383, 411, 414, 440, 
    447, 448, 462, 469, 507, 529, 547, 574, 598, 604, 638 },
    { 8, 27, 84, 95, 99, 109, 157, 203, 264, 282, 283, 286, 306, 313, 327, 329, 
    337, 368, 384, 401, 435, 495, 522, 524, 540, 640 },
    { 16, 21, 32, 38, 40, 44, 64, 106, 159, 164, 179, 240, 276, 288, 310, 336, 
    359, 373, 391, 425, 431, 438, 484, 522, 615, 649 },
    { 31, 53, 83, 92, 140, 145, 154, 193, 239, 251, 266, 282, 312, 338, 419, 452, 
    484, 510, 513, 538, 545, 546, 558, 564, 608, 650 },
    { 13, 23, 66, 68, 69, 106, 107, 131, 235, 242, 244, 250, 329, 343, 357, 365, 
    403, 412, 451, 466, 475, 538, 551, 579, 614, 633 },
    { 7, 22, 47, 84, 110, 163, 174, 187, 199, 232, 278, 299, 307, 308, 328, 372, 
    375, 408, 413, 432, 487, 538, 565, 583, 610, 649 },
    { 54, 57, 111, 115, 135, 165, 182, 189, 202, 210, 254, 274, 293, 303, 343, 
    348, 432, 459, 464, 482, 490, 522, 550, 564, 598, 641 },
    { 34, 37, 120, 129, 141, 179, 237, 244, 245, 249, 266, 302, 311, 337, 345, 
    353, 399, 405, 432, 449, 456, 461, 516, 547, 617, 644 },
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    { 18, 51, 73, 80, 99, 145, 181, 202, 205, 276, 284, 314, 328, 352, 371, 382, 
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    { 7, 29, 30, 54, 55, 71, 76, 97, 131, 142, 161, 204, 216, 243, 246, 283, 330, 
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    { 22, 45, 64, 66, 71, 73, 74, 75, 78, 79, 86, 182, 195, 223, 234, 368, 405, 
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    { 51, 57, 61, 85, 105, 110, 164, 175, 183, 212, 233, 302, 355, 367, 395, 401, 
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    { 55, 86, 105, 162, 179, 181, 193, 194, 222, 281, 306, 308, 331, 341, 346, 
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    { 16, 78, 139, 144, 194, 204, 235, 263, 291, 297, 301, 309, 315, 381, 401, 
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    { 56, 72, 125, 128, 130, 146, 190, 195, 220, 276, 325, 356, 363, 375, 401, 
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    { 33, 42, 65, 137, 180, 189, 204, 211, 212, 215, 228, 231, 286, 396, 403, 414,
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    { 2, 12, 32, 117, 127, 139, 181, 226, 264, 322, 351, 353, 362, 375, 406, 423, 
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    { 44, 45, 60, 130, 167, 188, 191, 203, 210, 213, 250, 251, 256, 268, 302, 308,
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    { 23, 45, 51, 58, 62, 72, 89, 170, 218, 228, 243, 253, 282, 288, 333, 348, 
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    { 29, 83, 86, 99, 118, 189, 224, 236, 249, 279, 301, 375, 417, 437, 438, 440, 
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    { 15, 52, 88, 113, 164, 165, 178, 207, 216, 228, 271, 299, 324, 327, 366, 475,
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    { 3, 15, 41, 43, 45, 50, 82, 83, 120, 144, 152, 163, 176, 248, 276, 289, 323, 
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    { 24, 41, 71, 85, 95, 104, 139, 141, 149, 193, 217, 220, 224, 241, 258, 271, 
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    { 11, 14, 33, 75, 87, 93, 95, 101, 123, 164, 218, 268, 297, 304, 314, 341, 
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    { 9, 28, 33, 78, 81, 102, 113, 146, 172, 202, 245, 295, 329, 340, 362, 372, 
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    { 14, 19, 58, 69, 74, 82, 119, 137, 205, 214, 230, 246, 279, 340, 381, 449, 
    476, 478, 509, 510, 522, 529, 592, 610, 620, 639 },
    { 11, 20, 35, 40, 53, 78, 94, 110, 152, 181, 347, 383, 403, 433, 458, 460, 
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    { 19, 43, 44, 79, 90, 168, 186, 217, 222, 270, 295, 296, 299, 303, 313, 315, 
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    { 2, 73, 76, 81, 83, 89, 96, 122, 138, 149, 164, 197, 235, 247, 303, 307, 342,
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    { 28, 110, 137, 201, 221, 224, 242, 321, 349, 350, 351, 354, 358, 370, 371, 
    374, 391, 442, 454, 455, 459, 511, 516, 545, 554, 640 },
    { 5, 77, 143, 159, 196, 204, 205, 207, 245, 252, 275, 292, 303, 341, 360, 423,
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    { 9, 49, 51, 142, 167, 207, 232, 239, 258, 269, 301, 331, 343, 374, 386, 441, 
    449, 495, 518, 570, 571, 597, 600, 606, 615, 643 },
    { 6, 23, 75, 77, 97, 109, 120, 181, 212, 229, 239, 241, 279, 287, 299, 309, 
    316, 369, 370, 373, 390, 436, 479, 490, 581, 645 },
    { 5, 41, 63, 119, 153, 181, 209, 210, 215, 297, 307, 320, 329, 344, 361, 367, 
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    { 9, 17, 22, 69, 91, 136, 165, 241, 243, 276, 321, 337, 364, 383, 388, 416, 
    419, 457, 472, 527, 549, 560, 578, 585, 595, 627 },
    { 20, 45, 47, 68, 108, 172, 175, 189, 192, 241, 265, 315, 317, 344, 346, 353, 
    366, 384, 407, 454, 510, 569, 591, 615, 621, 629 },
    { 14, 16, 66, 80, 174, 220, 252, 253, 256, 270, 298, 320, 338, 350, 353, 390, 
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    { 3, 18, 53, 62, 70, 79, 102, 164, 210, 232, 260, 263, 265, 279, 283, 298, 
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    { 30, 46, 52, 56, 64, 105, 135, 157, 186, 205, 218, 224, 239, 244, 267, 300, 
    307, 362, 364, 407, 445, 496, 502, 537, 580, 628 },
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    { 12, 24, 60, 110, 124, 143, 198, 215, 237, 267, 279, 284, 343, 346, 363, 393,
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    { 3, 44, 72, 131, 189, 193, 227, 277, 292, 314, 334, 340, 367, 370, 408, 424, 
    483, 502, 514, 533, 540, 548, 587, 595, 617, 643 },
    { 4, 15, 32, 35, 36, 93, 109, 119, 142, 196, 236, 300, 315, 412, 428, 432, 
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    { 28, 42, 47, 70, 97, 130, 138, 160, 205, 209, 289, 291, 313, 318, 339, 348, 
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    { 12, 76, 93, 152, 201, 203, 217, 225, 234, 344, 348, 365, 387, 394, 419, 436,
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    { 7, 34, 64, 82, 102, 130, 212, 221, 225, 236, 275, 281, 366, 389, 409, 451, 
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    { 16, 100, 155, 223, 224, 225, 228, 229, 233, 246, 247, 251, 265, 314, 325, 
    326, 329, 347, 386, 393, 423, 432, 562, 599, 623, 627 },
    { 2, 18, 57, 121, 146, 209, 250, 267, 272, 299, 338, 414, 438, 449, 468, 483, 
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    { 2, 61, 79, 124, 134, 185, 196, 243, 255, 308, 316, 318, 329, 358, 381, 382, 
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    { 38, 86, 98, 100, 158, 161, 184, 245, 254, 299, 321, 376, 377, 406, 412, 427,
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    { 14, 23, 42, 118, 134, 173, 199, 225, 259, 271, 272, 276, 283, 292, 293, 302,
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    { 3, 57, 77, 80, 90, 106, 142, 180, 195, 282, 305, 321, 322, 326, 342, 344, 
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    { 55, 58, 116, 121, 149, 152, 190, 202, 215, 244, 265, 296, 310, 327, 355, 
    378, 390, 392, 444, 455, 457, 513, 565, 567, 574, 643 },
    { 25, 38, 59, 69, 172, 182, 200, 209, 212, 224, 227, 283, 308, 342, 392, 399, 
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    { 31, 35, 82, 98, 114, 165, 190, 226, 301, 305, 329, 346, 359, 399, 411, 418, 
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    { 23, 30, 44, 73, 88, 114, 124, 152, 154, 172, 219, 258, 297, 306, 349, 396, 
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    { 34, 63, 78, 80, 98, 123, 125, 149, 159, 163, 175, 186, 191, 231, 259, 264, 
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    { 22, 34, 40, 46, 77, 96, 119, 173, 184, 203, 265, 318, 331, 333, 410, 422, 
    453, 459, 471, 480, 483, 508, 523, 558, 614, 642 },
    { 107, 122, 127, 136, 155, 176, 196, 216, 221, 258, 305, 328, 348, 367, 390, 
    422, 438, 439, 447, 456, 458, 510, 524, 537, 539, 647 },
    { 74, 81, 91, 95, 110, 127, 129, 134, 167, 204, 240, 273, 287, 289, 326, 357, 
    378, 428, 443, 471, 502, 503, 564, 566, 621, 635 },
    { 41, 52, 114, 117, 171, 177, 213, 234, 283, 303, 333, 350, 373, 378, 461, 
    463, 487, 492, 510, 518, 553, 562, 579, 595, 625, 631 },
    { 13, 53, 73, 108, 117, 125, 135, 156, 238, 261, 286, 287, 288, 291, 292, 305,
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    434, 486, 490, 504, 563, 584, 611, 613, 617, 628 },
    { 14, 25, 86, 111, 136, 153, 154, 183, 208, 240, 265, 291, 300, 363, 365, 426,
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    { 17, 62, 106, 113, 127, 160, 189, 223, 259, 266, 297, 308, 363, 371, 420, 
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    { 37, 70, 85, 88, 119, 162, 182, 253, 264, 287, 325, 371, 376, 394, 417, 426, 
    450, 525, 538, 552, 574, 577, 580, 595, 615, 647 },
    { 33, 64, 92, 117, 153, 163, 190, 243, 263, 302, 331, 342, 347, 370, 402, 412,
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    { 16, 22, 26, 37, 51, 67, 93, 111, 114, 121, 134, 193, 248, 262, 279, 280, 
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    { 36, 42, 51, 54, 69, 87, 90, 94, 127, 163, 177, 220, 245, 265, 267, 306, 335,
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    { 52, 71, 122, 126, 134, 146, 156, 170, 236, 256, 264, 265, 278, 309, 321, 
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    { 100, 114, 133, 143, 149, 185, 195, 210, 212, 218, 278, 289, 324, 330, 331, 
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    { 44, 67, 95, 98, 117, 142, 178, 199, 205, 212, 235, 265, 338, 345, 379, 394, 
    416, 437, 447, 464, 467, 504, 554, 559, 622, 630 },
    { 9, 20, 39, 73, 77, 84, 98, 101, 151, 193, 228, 242, 272, 289, 298, 311, 363,
    392, 431, 478, 485, 501, 537, 577, 598, 631 },
    { 14, 61, 81, 97, 115, 126, 187, 193, 244, 275, 285, 301, 322, 324, 333, 347, 
    384, 391, 420, 447, 450, 486, 527, 590, 596, 626 },
    { 13, 62, 77, 104, 133, 150, 167, 172, 215, 221, 226, 276, 313, 413, 437, 445,
    446, 450, 482, 506, 509, 541, 546, 562, 617, 651 },
    { 8, 60, 79, 96, 100, 146, 150, 216, 240, 248, 301, 361, 389, 392, 402, 407, 
    461, 472, 476, 534, 538, 554, 581, 587, 612, 641 },
    { 22, 83, 137, 148, 159, 172, 220, 257, 287, 296, 300, 314, 330, 361, 395, 
    400, 418, 475, 524, 553, 559, 571, 596, 598, 619, 644 },
    { 23, 41, 98, 112, 116, 127, 128, 164, 182, 201, 249, 269, 275, 278, 300, 312,
    313, 319, 381, 393, 433, 472, 477, 483, 531, 629 },
    { 18, 26, 81, 119, 135, 140, 163, 192, 212, 226, 252, 258, 334, 336, 363, 368,
    387, 397, 433, 442, 461, 475, 505, 530, 567, 627 },
    { 25, 42, 49, 62, 99, 115, 119, 141, 159, 176, 195, 235, 299, 332, 351, 393, 
    460, 462, 473, 502, 513, 534, 563, 569, 578, 631 },
    { 24, 54, 88, 98, 118, 183, 221, 256, 282, 285, 307, 314, 315, 318, 336, 378, 
    403, 421, 434, 449, 473, 555, 581, 585, 607, 632 },
    { 68, 117, 168, 183, 211, 236, 239, 245, 260, 276, 297, 326, 327, 330, 348, 
    404, 433, 465, 486, 511, 534, 548, 577, 610, 618, 642 },
    { 13, 15, 46, 55, 112, 115, 140, 147, 279, 356, 367, 399, 415, 423, 429, 495, 
    535, 553, 554, 556, 577, 585, 601, 603, 621, 649 },
    { 23, 52, 80, 81, 111, 132, 150, 176, 184, 308, 315, 325, 335, 345, 360, 409, 
    419, 425, 435, 474, 478, 511, 582, 603, 619, 643 },
    { 11, 16, 18, 25, 34, 45, 56, 85, 142, 158, 215, 277, 303, 312, 324, 357, 372,
    429, 485, 511, 524, 549, 557, 581, 588, 639 },
    { 39, 50, 74, 85, 121, 125, 173, 188, 189, 208, 221, 239, 270, 278, 284, 329, 
    425, 461, 470, 491, 535, 560, 563, 596, 616, 630 },
    { 3, 22, 27, 68, 98, 113, 122, 135, 139, 198, 230, 240, 294, 335, 374, 417, 
    429, 436, 470, 513, 544, 547, 562, 590, 613, 636 },
    { 15, 19, 30, 80, 110, 136, 158, 189, 190, 275, 288, 304, 311, 318, 332, 361, 
    368, 394, 430, 465, 466, 469, 562, 606, 608, 645 },
    { 19, 39, 54, 99, 107, 139, 171, 212, 247, 253, 268, 323, 377, 407, 415, 428, 
    453, 477, 484, 497, 511, 527, 565, 571, 617, 638 },
    { 27, 34, 90, 108, 112, 121, 161, 166, 185, 268, 276, 301, 307, 360, 370, 394,
    396, 458, 475, 515, 529, 542, 564, 572, 623, 631 },
    { 9, 32, 61, 65, 66, 90, 138, 192, 218, 219, 221, 238, 279, 325, 327, 332, 
    418, 443, 452, 467, 483, 487, 497, 547, 557, 641 },
    { 21, 24, 57, 72, 79, 93, 116, 136, 199, 200, 214, 231, 251, 289, 309, 362, 
    450, 475, 492, 495, 508, 511, 547, 563, 591, 646 },
    { 11, 65, 69, 70, 89, 176, 222, 284, 292, 301, 330, 338, 358, 366, 368, 378, 
    406, 431, 432, 436, 445, 508, 531, 543, 601, 638 },
    { 2, 53, 64, 97, 112, 133, 188, 220, 228, 230, 290, 337, 343, 344, 352, 469, 
    471, 473, 487, 504, 511, 543, 567, 587, 589, 647 },
    { 4, 22, 28, 99, 150, 152, 178, 200, 218, 229, 275, 290, 302, 305, 320, 363, 
    406, 414, 421, 526, 535, 548, 564, 579, 615, 639 },
    { 54, 62, 63, 75, 126, 174, 179, 224, 230, 289, 305, 355, 366, 394, 402, 433, 
    435, 448, 514, 553, 557, 558, 560, 584, 600, 633 },
    { 7, 13, 26, 38, 41, 122, 154, 206, 218, 231, 257, 272, 284, 337, 347, 394, 
    404, 428, 459, 528, 536, 569, 581, 605, 620, 643 },
    { 47, 65, 77, 149, 166, 182, 251, 285, 297, 323, 337, 374, 389, 425, 439, 466,
    468, 502, 505, 521, 553, 576, 604, 622, 624, 639 },
    { 1, 44, 112, 170, 209, 231, 244, 280, 294, 326, 341, 368, 371, 409, 410, 413,
    421, 462, 479, 485, 510, 532, 560, 571, 576, 641 },
    { 3, 5, 58, 66, 88, 117, 133, 134, 141, 157, 158, 175, 251, 301, 339, 354, 
    363, 422, 477, 488, 490, 499, 560, 605, 619, 649 },
    { 77, 105, 127, 178, 192, 231, 234, 243, 250, 270, 301, 310, 314, 377, 380, 
    398, 429, 435, 460, 469, 481, 516, 525, 550, 610, 650 },
    { 26, 40, 50, 62, 66, 92, 116, 139, 166, 183, 191, 205, 216, 287, 295, 321, 
    346, 432, 469, 485, 494, 518, 526, 540, 603, 626 },
    { 17, 42, 61, 73, 143, 161, 179, 248, 282, 295, 300, 320, 334, 386, 413, 422, 
    436, 463, 466, 511, 550, 568, 574, 620, 621, 630 },
    { 24, 28, 30, 37, 59, 66, 84, 127, 156, 180, 233, 276, 303, 317, 331, 479, 
    513, 530, 556, 582, 584, 587, 596, 620, 622, 638 },
    { 6, 36, 61, 71, 82, 99, 116, 125, 140, 184, 227, 228, 232, 240, 250, 280, 
    297, 303, 353, 354, 383, 394, 400, 445, 539, 632 },
    { 13, 14, 57, 64, 70, 98, 143, 168, 192, 227, 229, 306, 323, 351, 372, 382, 
    444, 458, 480, 518, 560, 566, 582, 608, 612, 644 },
    { 5, 15, 84, 103, 166, 218, 254, 265, 270, 342, 357, 382, 391, 405, 433, 436, 
    473, 474, 476, 520, 539, 546, 571, 593, 595, 646 },
    { 7, 25, 60, 78, 87, 151, 156, 171, 205, 254, 282, 310, 316, 325, 353, 367, 
    374, 414, 420, 446, 465, 471, 475, 531, 560, 648 },
    { 13, 92, 118, 187, 211, 213, 222, 258, 265, 289, 316, 320, 332, 400, 409, 
    470, 477, 516, 522, 542, 549, 552, 561, 587, 624, 628 },
    { 40, 56, 59, 74, 76, 90, 176, 231, 262, 297, 302, 334, 369, 382, 384, 427, 
    455, 477, 504, 519, 538, 562, 585, 598, 600, 648 },
    { 40, 58, 79, 123, 140, 172, 187, 204, 247, 256, 267, 269, 277, 293, 305, 337,
    371, 412, 436, 465, 467, 481, 573, 582, 616, 631 },
    { 3, 35, 52, 86, 96, 151, 155, 191, 212, 220, 243, 284, 297, 313, 332, 372, 
    391, 449, 532, 556, 564, 573, 574, 591, 594, 633 },
    { 31, 55, 74, 80, 109, 113, 199, 210, 238, 269, 317, 323, 336, 347, 395, 414, 
    422, 445, 485, 500, 516, 534, 572, 589, 595, 633 },
    { 5, 25, 90, 100, 178, 188, 201, 260, 266, 304, 309, 328, 346, 403, 410, 417, 
    445, 501, 522, 527, 530, 553, 566, 568, 573, 643 },
    { 14, 31, 50, 54, 59, 73, 103, 130, 132, 175, 196, 215, 217, 232, 326, 337, 
    373, 406, 417, 430, 460, 475, 483, 554, 594, 628 },
    { 9, 21, 37, 50, 76, 124, 145, 168, 194, 195, 230, 265, 268, 275, 286, 350, 
    367, 412, 445, 505, 532, 550, 581, 583, 619, 635 },
    { 16, 33, 49, 77, 125, 160, 171, 187, 236, 319, 346, 355, 364, 365, 368, 382, 
    385, 424, 500, 547, 554, 564, 607, 619, 620, 647 },
    { 89, 92, 112, 136, 172, 194, 232, 264, 335, 369, 377, 391, 414, 434, 444, 
    461, 464, 498, 499, 501, 502, 551, 557, 599, 620, 642 },
    { 19, 106, 124, 181, 182, 225, 245, 256, 280, 289, 301, 364, 414, 455, 480, 
    487, 512, 524, 530, 533, 546, 569, 594, 603, 613, 630 },
    { 5, 67, 116, 129, 192, 195, 222, 224, 253, 272, 318, 343, 373, 389, 413, 419,
    498, 500, 524, 529, 548, 556, 590, 602, 616, 648 },
    { 15, 25, 51, 74, 96, 98, 104, 108, 180, 194, 206, 244, 251, 293, 320, 330, 
    349, 373, 375, 383, 397, 435, 494, 497, 533, 647 },
    { 16, 43, 57, 76, 94, 113, 141, 218, 226, 232, 242, 281, 287, 318, 396, 415, 
    435, 457, 486, 510, 517, 531, 573, 587, 604, 630 },
    { 14, 60, 63, 129, 140, 162, 221, 288, 290, 299, 330, 342, 364, 396, 401, 411,
    477, 485, 544, 550, 591, 599, 614, 622, 625, 643 },
    { 72, 86, 123, 127, 147, 157, 171, 215, 230, 272, 285, 342, 360, 369, 383, 
    410, 418, 432, 442, 451, 534, 561, 608, 611, 615, 630 },
    { 18, 71, 87, 138, 150, 185, 191, 222, 230, 242, 266, 293, 300, 326, 377, 384,
    390, 440, 480, 528, 563, 595, 606, 607, 622, 649 },
    { 21, 35, 48, 75, 99, 128, 132, 134, 149, 221, 222, 254, 263, 267, 311, 344, 
    410, 429, 486, 518, 533, 538, 559, 572, 620, 627 },
    { 20, 65, 107, 116, 132, 157, 163, 288, 320, 341, 351, 385, 399, 464, 471, 
    509, 573, 581, 595, 596, 600, 609, 613, 618, 623, 650 },
    { 33, 74, 100, 116, 142, 154, 217, 242, 252, 264, 267, 276, 285, 290, 294, 
    308, 332, 366, 367, 380, 453, 463, 490, 512, 593, 644 },
    { 19, 20, 56, 62, 121, 138, 143, 194, 199, 236, 240, 258, 314, 322, 337, 376, 
    410, 411, 474, 490, 531, 545, 556, 579, 586, 634 },
    { 4, 56, 57, 101, 129, 163, 184, 217, 223, 238, 301, 349, 390, 416, 426, 451, 
    465, 470, 473, 484, 506, 532, 540, 553, 620, 629 },
    { 9, 40, 63, 141, 206, 222, 252, 278, 280, 283, 291, 314, 317, 356, 417, 444, 
    446, 447, 451, 468, 476, 496, 511, 564, 609, 645 },
    { 25, 39, 72, 94, 106, 117, 167, 184, 216, 222, 274, 275, 279, 294, 307, 337, 
    382, 387, 395, 454, 489, 574, 575, 584, 599, 650 },
    { 12, 26, 82, 106, 155, 186, 187, 253, 273, 286, 302, 309, 317, 330, 360, 392,
    429, 463, 464, 473, 483, 545, 560, 604, 606, 651 },
    { 30, 49, 74, 102, 103, 107, 117, 140, 179, 272, 309, 313, 314, 335, 344, 358,
    420, 426, 457, 480, 515, 526, 583, 588, 624, 641 },
    { 63, 83, 109, 111, 117, 166, 195, 204, 225, 242, 255, 258, 304, 310, 372, 
    383, 399, 407, 421, 427, 450, 483, 491, 543, 620, 636 },
    { 10, 56, 60, 70, 131, 134, 145, 153, 166, 228, 249, 296, 305, 317, 332, 335, 
    341, 373, 387, 459, 495, 527, 541, 607, 610, 630 },
    { 15, 27, 81, 100, 156, 214, 222, 241, 257, 297, 351, 352, 355, 434, 456, 481,
    482, 483, 484, 485, 488, 570, 579, 580, 583, 630 },
    { 1, 8, 30, 89, 147, 191, 199, 221, 223, 227, 241, 245, 262, 310, 320, 324, 
    343, 381, 387, 417, 428, 558, 593, 604, 619, 631 },
    { 1, 52, 54, 70, 77, 83, 116, 194, 302, 329, 388, 442, 443, 447, 465, 520, 
    544, 568, 569, 570, 572, 575, 587, 588, 592, 649 },
    { 10, 64, 136, 162, 177, 207, 217, 226, 255, 278, 279, 282, 293, 297, 357, 
    379, 392, 410, 514, 516, 526, 569, 590, 619, 623, 638 },
    { 26, 28, 31, 36, 43, 64, 68, 77, 89, 129, 158, 185, 214, 256, 283, 367, 375, 
    393, 474, 491, 527, 559, 561, 574, 600, 641 },
    { 27, 43, 70, 72, 73, 110, 111, 191, 236, 244, 246, 252, 331, 344, 359, 379, 
    398, 414, 452, 477, 539, 553, 578, 581, 616, 651 },
    { 21, 34, 87, 89, 287, 319, 329, 349, 363, 407, 462, 463, 467, 482, 539, 584, 
    585, 586, 589, 590, 594, 608, 609, 610, 624, 643 },
    { 7, 35, 59, 61, 67, 68, 72, 80, 100, 234, 249, 258, 268, 287, 293, 339, 364, 
    431, 444, 473, 509, 535, 558, 576, 588, 640 },
    { 8, 9, 10, 15, 16, 23, 47, 48, 54, 86, 117, 129, 186, 188, 334, 371, 380, 
    400, 414, 458, 508, 509, 513, 528, 586, 626 },
    { 7, 37, 136, 137, 149, 157, 169, 250, 260, 315, 322, 334, 373, 393, 402, 415,
    441, 467, 470, 480, 485, 543, 564, 575, 593, 651 },
    { 22, 24, 44, 94, 97, 100, 101, 108, 140, 153, 157, 176, 202, 236, 253, 381, 
    446, 466, 491, 516, 518, 520, 528, 557, 594, 635 },
    { 36, 44, 50, 65, 128, 133, 136, 161, 181, 187, 223, 252, 271, 342, 395, 407, 
    435, 440, 449, 459, 513, 566, 577, 579, 588, 648 },
    { 5, 48, 71, 105, 107, 111, 187, 198, 229, 261, 276, 340, 349, 418, 430, 461, 
    468, 485, 495, 504, 531, 555, 558, 569, 574, 635 },
    { 45, 55, 61, 69, 101, 139, 178, 225, 252, 254, 261, 273, 307, 313, 371, 373, 
    411, 456, 521, 536, 563, 587, 600, 608, 619, 642 },
    { 7, 52, 66, 85, 98, 115, 172, 181, 248, 263, 286, 290, 304, 326, 387, 424, 
    457, 468, 484, 508, 516, 529, 539, 600, 611, 634 },
    { 8, 25, 37, 53, 80, 122, 192, 246, 267, 271, 289, 295, 297, 319, 333, 370, 
    406, 411, 451, 457, 464, 491, 541, 555, 571, 649 },
    { 28, 57, 128, 131, 139, 151, 162, 176, 239, 259, 265, 280, 304, 324, 337, 
    397, 398, 402, 418, 434, 463, 500, 503, 509, 515, 649 },
    { 48, 67, 103, 112, 113, 119, 131, 260, 284, 285, 288, 289, 302, 303, 306, 
    321, 375, 386, 390, 407, 446, 452, 481, 489, 619, 634 },
    { 64, 114, 126, 144, 161, 175, 200, 274, 286, 314, 319, 332, 345, 374, 383, 
    390, 428, 485, 509, 517, 520, 530, 538, 601, 616, 642 },
    { 14, 32, 55, 99, 158, 172, 191, 197, 233, 234, 237, 239, 255, 289, 294, 334, 
    360, 389, 403, 416, 459, 520, 531, 583, 609, 647 },
    { 20, 41, 99, 123, 126, 142, 168, 169, 188, 223, 273, 292, 318, 335, 364, 427,
    439, 452, 475, 476, 479, 482, 494, 516, 574, 649 },
    { 18, 22, 52, 72, 103, 154, 180, 221, 255, 259, 273, 295, 301, 323, 341, 353, 
    355, 393, 412, 498, 504, 517, 522, 577, 586, 645 },
    { 9, 14, 26, 85, 120, 127, 184, 200, 210, 235, 236, 261, 282, 296, 352, 358, 
    407, 448, 498, 533, 542, 562, 573, 576, 593, 649 },
    { 4, 40, 61, 117, 151, 180, 208, 209, 214, 296, 306, 319, 328, 343, 360, 366, 
    376, 415, 430, 440, 502, 516, 544, 546, 581, 627 },
    { 33, 44, 54, 121, 151, 195, 206, 226, 237, 238, 241, 260, 273, 300, 333, 339,
    358, 469, 495, 538, 539, 561, 582, 599, 613, 639 },
    { 21, 69, 71, 77, 110, 113, 115, 117, 121, 123, 130, 154, 155, 162, 197, 249, 
    315, 320, 352, 496, 530, 540, 557, 571, 612, 648 },
    { 35, 45, 92, 113, 129, 156, 157, 168, 209, 279, 314, 365, 397, 406, 425, 448,
    450, 459, 472, 504, 512, 539, 565, 568, 606, 631 },
    { 11, 12, 28, 38, 48, 52, 62, 109, 168, 175, 190, 193, 250, 252, 293, 328, 
    381, 389, 426, 471, 542, 547, 571, 585, 599, 630 },
    { 54, 67, 78, 147, 176, 209, 218, 240, 251, 252, 255, 269, 286, 311, 346, 352,
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    { 16, 20, 30, 50, 122, 153, 165, 212, 222, 250, 259, 269, 282, 290, 339, 340, 
    360, 375, 405, 443, 450, 455, 462, 553, 612, 642 },
    { 50, 71, 84, 100, 135, 172, 279, 302, 310, 318, 319, 322, 338, 341, 426, 458,
    503, 511, 521, 533, 561, 578, 597, 605, 625, 633 },
    { 115, 134, 171, 200, 241, 294, 295, 298, 375, 398, 425, 426, 427, 430, 433, 
    444, 445, 449, 467, 524, 528, 545, 587, 614, 623, 637 },
    { 7, 70, 86, 106, 120, 133, 139, 173, 190, 214, 238, 255, 267, 303, 314, 320, 
    384, 396, 419, 433, 439, 462, 501, 554, 597, 635 },
    { 7, 62, 73, 93, 128, 209, 241, 274, 301, 302, 327, 335, 336, 340, 350, 357, 
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    { 20, 26, 80, 96, 131, 167, 171, 209, 217, 229, 245, 263, 300, 354, 396, 447, 
    513, 521, 522, 525, 543, 557, 583, 585, 616, 646 },
    { 2, 29, 92, 98, 110, 119, 132, 171, 207, 218, 223, 276, 277, 280, 296, 309, 
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    { 23, 64, 99, 110, 147, 165, 193, 196, 231, 238, 265, 295, 330, 376, 441, 446,
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    { 33, 38, 108, 144, 205, 210, 221, 247, 249, 271, 280, 306, 322, 357, 363, 
    369, 419, 460, 508, 553, 574, 583, 587, 606, 618, 636 },
    { 14, 56, 102, 106, 108, 109, 110, 114, 116, 122, 141, 148, 150, 188, 209, 
    243, 254, 386, 424, 434, 467, 505, 558, 561, 577, 638 },
    { 5, 11, 24, 74, 115, 120, 122, 161, 191, 226, 228, 291, 306, 350, 364, 402, 
    409, 465, 483, 521, 551, 559, 565, 586, 615, 650 },
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    { 15, 17, 37, 64, 94, 95, 125, 131, 132, 138, 155, 172, 183, 201, 210, 252, 
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    { 22, 30, 85, 123, 138, 144, 167, 196, 214, 228, 254, 260, 336, 338, 365, 370,
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    { 11, 39, 57, 67, 166, 172, 177, 186, 203, 230, 236, 243, 271, 320, 336, 354, 
    356, 393, 420, 430, 443, 456, 479, 512, 538, 643 },
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    { 54, 65, 122, 140, 200, 234, 244, 263, 276, 316, 372, 376, 393, 454, 476, 
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    { 27, 52, 69, 76, 79, 159, 183, 188, 215, 229, 238, 253, 258, 280, 311, 319, 
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    { 10, 28, 71, 80, 237, 251, 307, 359, 365, 366, 369, 388, 420, 428, 437, 462, 
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    { 37, 46, 62, 90, 91, 98, 130, 153, 247, 255, 257, 261, 343, 354, 368, 390, 
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    { 75, 118, 141, 162, 163, 168, 170, 171, 172, 178, 180, 185, 240, 246, 274, 
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    { 17, 18, 46, 54, 66, 82, 100, 109, 124, 162, 167, 231, 271, 291, 296, 344, 
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    { 14, 91, 156, 176, 190, 194, 203, 212, 223, 242, 249, 260, 295, 307, 385, 
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    { 59, 116, 146, 174, 197, 223, 261, 279, 304, 306, 330, 333, 336, 344, 374, 
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    { 40, 71, 109, 153, 189, 213, 218, 245, 248, 285, 298, 358, 379, 393, 411, 
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    { 40, 41, 72, 87, 108, 113, 133, 174, 196, 225, 239, 263, 345, 351, 368, 392, 
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    { 5, 93, 99, 102, 138, 151, 154, 163, 244, 256, 271, 287, 317, 381, 425, 458, 
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    { 103, 108, 181, 186, 197, 211, 240, 275, 283, 325, 338, 339, 343, 398, 439, 
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    { 8, 32, 56, 69, 73, 104, 259, 309, 318, 345, 354, 367, 433, 440, 481, 518, 
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    { 42, 43, 52, 74, 128, 148, 192, 268, 277, 288, 316, 322, 352, 354, 365, 392, 
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    { 45, 99, 127, 183, 206, 338, 386, 387, 388, 391, 392, 396, 408, 409, 412, 
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    { 2, 10, 22, 87, 116, 158, 179, 210, 258, 284, 286, 315, 340, 398, 451, 479, 
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    { 62, 96, 101, 103, 110, 120, 142, 182, 222, 271, 286, 310, 334, 362, 365, 
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    { 1, 80, 101, 102, 105, 165, 166, 215, 240, 278, 316, 351, 384, 412, 415, 448,
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    { 8, 28, 45, 94, 103, 111, 116, 118, 123, 124, 161, 207, 212, 238, 257, 263, 
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    { 9, 38, 46, 57, 74, 89, 99, 114, 156, 187, 215, 216, 220, 225, 266, 315, 339,
    341, 370, 379, 433, 466, 525, 544, 602, 634 },
    { 4, 51, 92, 100, 106, 115, 128, 138, 215, 281, 283, 323, 334, 358, 388, 394, 
    405, 471, 479, 537, 555, 591, 610, 616, 619, 636 },
    { 12, 37, 58, 61, 77, 87, 92, 103, 165, 176, 188, 224, 291, 294, 336, 361, 
    372, 379, 396, 428, 495, 533, 579, 611, 618, 629 },
    { 1, 3, 32, 59, 97, 114, 123, 173, 183, 222, 328, 357, 385, 393, 394, 397, 
    407, 414, 457, 478, 495, 506, 521, 545, 550, 644 },
    { 9, 11, 59, 71, 88, 106, 143, 147, 163, 247, 260, 290, 313, 316, 345, 355, 
    361, 398, 459, 491, 494, 502, 510, 572, 590, 646 },
    { 20, 21, 33, 66, 70, 112, 114, 178, 184, 196, 198, 224, 257, 293, 334, 401, 
    420, 449, 491, 503, 534, 546, 549, 565, 604, 645 },
    { 17, 68, 88, 115, 116, 137, 151, 153, 186, 225, 277, 382, 406, 410, 428, 435,
    438, 452, 461, 506, 542, 583, 589, 597, 622, 645 },
    { 9, 25, 29, 135, 164, 190, 196, 248, 256, 273, 284, 344, 354, 369, 409, 415, 
    450, 500, 520, 540, 558, 579, 610, 622, 623, 644 },
    { 35, 83, 131, 177, 179, 184, 215, 218, 233, 241, 256, 291, 322, 328, 368, 
    374, 380, 464, 477, 494, 529, 563, 577, 589, 612, 635 },
    { 23, 50, 70, 78, 91, 115, 142, 157, 185, 220, 237, 280, 328, 336, 392, 411, 
    454, 481, 497, 517, 548, 558, 562, 620, 624, 646 },
    { 32, 41, 57, 84, 86, 92, 124, 125, 150, 204, 244, 253, 260, 340, 352, 366, 
    374, 387, 411, 422, 460, 559, 585, 588, 623, 645 },
    { 1, 64, 84, 119, 149, 216, 268, 269, 273, 291, 349, 398, 399, 400, 403, 404, 
    406, 419, 420, 424, 440, 490, 557, 562, 591, 630 },
    { 30, 33, 36, 48, 91, 96, 141, 183, 225, 279, 305, 312, 323, 350, 352, 376, 
    384, 398, 413, 431, 464, 470, 475, 520, 611, 643 },
    { 11, 82, 108, 131, 159, 198, 234, 266, 278, 295, 318, 327, 342, 352, 414, 
    428, 450, 490, 532, 537, 554, 575, 582, 600, 624, 627 },
    { 27, 101, 115, 125, 168, 179, 196, 212, 251, 262, 267, 317, 321, 357, 361, 
    421, 440, 487, 498, 509, 523, 525, 531, 561, 575, 643 },
    { 4, 24, 63, 65, 73, 82, 91, 105, 113, 158, 171, 188, 265, 293, 313, 322, 370,
    387, 404, 438, 462, 498, 538, 570, 603, 644 },
    { 54, 80, 92, 141, 144, 173, 197, 236, 250, 257, 313, 324, 341, 349, 362, 367,
    392, 427, 436, 487, 489, 529, 566, 615, 622, 627 },
    { 35, 38, 39, 56, 66, 120, 140, 185, 197, 207, 265, 273, 285, 319, 340, 348, 
    351, 361, 388, 413, 414, 417, 435, 492, 543, 637 },
    { 1, 12, 16, 65, 79, 81, 88, 99, 108, 120, 130, 177, 272, 274, 300, 304, 321, 
    331, 367, 411, 444, 470, 504, 546, 610, 633 },
    { 6, 85, 86, 90, 93, 113, 126, 252, 310, 337, 339, 349, 361, 393, 409, 464, 
    518, 537, 546, 548, 583, 592, 607, 614, 621, 638 },
    { 31, 37, 81, 86, 142, 152, 159, 174, 209, 213, 221, 228, 293, 309, 356, 382, 
    388, 398, 407, 466, 529, 531, 540, 605, 613, 642 },
    { 20, 34, 115, 145, 146, 183, 204, 214, 218, 234, 271, 308, 313, 359, 390, 
    400, 417, 441, 442, 466, 500, 504, 533, 560, 599, 638 },
    { 6, 10, 12, 18, 30, 40, 104, 115, 132, 178, 236, 238, 268, 289, 329, 342, 
    374, 408, 434, 472, 510, 543, 574, 602, 605, 644 },
    { 36, 111, 120, 145, 172, 188, 231, 281, 288, 298, 307, 339, 355, 357, 374, 
    381, 406, 447, 463, 480, 497, 534, 540, 552, 556, 627 },
    { 15, 33, 56, 68, 149, 181, 200, 208, 232, 246, 253, 255, 266, 292, 313, 321, 
    336, 409, 418, 447, 471, 550, 584, 605, 612, 631 },
    { 8, 57, 65, 68, 78, 97, 119, 148, 154, 167, 178, 179, 190, 247, 278, 350, 
    360, 388, 427, 485, 499, 533, 539, 556, 607, 628 },
    { 30, 38, 42, 53, 75, 111, 113, 203, 237, 253, 278, 296, 301, 326, 367, 382, 
    442, 467, 494, 501, 509, 521, 549, 579, 591, 632 },
    { 10, 73, 85, 97, 163, 194, 218, 225, 250, 294, 319, 321, 356, 378, 439, 488, 
    515, 522, 534, 558, 559, 582, 591, 606, 617, 648 },
    { 12, 19, 34, 68, 84, 111, 144, 162, 164, 206, 209, 220, 223, 285, 305, 316, 
    334, 443, 445, 457, 488, 498, 518, 554, 563, 650 },
    { 3, 12, 49, 105, 129, 149, 153, 161, 172, 196, 199, 242, 280, 325, 333, 352, 
    388, 433, 489, 494, 519, 522, 535, 581, 608, 638 },
    { 4, 19, 31, 88, 94, 191, 224, 235, 254, 276, 278, 286, 298, 333, 341, 369, 
    397, 400, 439, 481, 543, 547, 588, 612, 621, 643 },
    { 23, 24, 138, 162, 190, 232, 245, 270, 277, 286, 294, 351, 407, 420, 422, 
    431, 494, 504, 536, 541, 553, 561, 564, 592, 602, 627 },
    { 7, 16, 105, 119, 168, 219, 266, 271, 294, 305, 343, 358, 383, 392, 434, 437,
    474, 477, 492, 521, 540, 572, 594, 596, 621, 645 },
    { 2, 20, 67, 71, 90, 102, 118, 159, 190, 200, 239, 291, 323, 333, 357, 367, 
    371, 387, 432, 435, 472, 488, 544, 594, 620, 651 },
    { 13, 17, 44, 59, 85, 87, 96, 99, 129, 166, 190, 198, 246, 269, 298, 309, 322,
    348, 366, 434, 442, 487, 496, 517, 619, 650 },
    { 95, 130, 163, 181, 216, 262, 293, 296, 311, 333, 340, 365, 380, 393, 396, 
    434, 445, 452, 511, 520, 536, 556, 560, 615, 624, 636 },
    { 90, 97, 105, 136, 141, 143, 145, 152, 156, 182, 184, 191, 211, 263, 272, 
    273, 277, 329, 336, 366, 375, 509, 554, 571, 625, 636 },
    { 3, 14, 17, 28, 34, 67, 76, 92, 104, 107, 181, 219, 228, 267, 273, 274, 278, 
    310, 315, 368, 376, 528, 534, 553, 570, 646 },
    { 23, 36, 40, 55, 67, 84, 85, 122, 130, 137, 143, 171, 266, 301, 332, 344, 
    362, 388, 397, 421, 482, 514, 599, 604, 618, 635 },
    { 2, 14, 21, 36, 39, 41, 47, 62, 78, 88, 100, 105, 131, 180, 238, 262, 379, 
    399, 409, 436, 442, 457, 524, 564, 606, 642 },
    { 5, 22, 23, 31, 56, 61, 168, 177, 189, 206, 216, 247, 263, 264, 281, 289, 
    310, 352, 385, 442, 449, 462, 515, 601, 622, 651 },
    { 5, 21, 26, 30, 60, 98, 109, 173, 176, 211, 220, 232, 234, 274, 322, 355, 
    371, 388, 440, 451, 452, 512, 617, 621, 623, 639 },
    { 23, 34, 79, 153, 156, 167, 197, 224, 252, 262, 284, 322, 323, 327, 383, 424,
    430, 473, 501, 510, 526, 550, 552, 559, 613, 649 },
    { 8, 17, 38, 58, 105, 174, 236, 287, 290, 303, 311, 323, 335, 397, 403, 441, 
    447, 454, 483, 532, 546, 561, 563, 601, 623, 648 },
    { 6, 32, 74, 111, 131, 133, 146, 163, 169, 224, 275, 282, 346, 376, 388, 404, 
    429, 444, 456, 508, 517, 561, 571, 594, 622, 631 },
    { 15, 40, 65, 102, 124, 175, 199, 220, 229, 249, 273, 282, 294, 303, 365, 377,
    402, 442, 486, 491, 506, 529, 537, 552, 578, 643 },
    { 21, 27, 29, 56, 65, 80, 127, 172, 193, 213, 225, 260, 291, 299, 343, 397, 
    405, 453, 517, 526, 528, 554, 560, 574, 592, 632 },
    { 28, 82, 101, 133, 170, 177, 197, 260, 269, 332, 377, 382, 401, 425, 432, 
    447, 457, 475, 533, 558, 580, 581, 586, 602, 621, 636 },
    { 4, 26, 46, 87, 97, 107, 110, 144, 169, 172, 195, 251, 259, 303, 327, 380, 
    382, 409, 411, 417, 431, 449, 472, 514, 572, 630 },
    { 33, 60, 85, 94, 159, 165, 223, 244, 283, 289, 315, 328, 354, 377, 404, 436, 
    483, 504, 505, 509, 526, 556, 572, 597, 608, 637 },
    { 15, 67, 73, 87, 139, 146, 148, 153, 168, 184, 187, 221, 231, 237, 283, 312, 
    457, 490, 502, 507, 530, 543, 592, 615, 623, 633 },
    { 19, 51, 55, 64, 123, 148, 176, 198, 213, 271, 321, 329, 339, 353, 380, 387, 
    413, 426, 448, 483, 486, 501, 564, 581, 622, 646 },
    { 43, 46, 60, 65, 67, 75, 106, 183, 196, 264, 298, 324, 340, 383, 516, 562, 
    563, 564, 567, 568, 571, 582, 583, 586, 605, 629 },
    { 34, 50, 113, 170, 200, 254, 258, 272, 330, 354, 379, 380, 381, 384, 385, 
    388, 402, 403, 423, 484, 487, 502, 541, 574, 582, 645 },
    { 7, 28, 88, 145, 189, 196, 203, 220, 222, 226, 240, 244, 261, 309, 319, 323, 
    342, 380, 386, 416, 427, 557, 592, 603, 618, 631 },
    { 36, 53, 57, 66, 81, 118, 153, 169, 268, 294, 310, 311, 313, 328, 330, 369, 
    386, 448, 496, 523, 554, 569, 586, 595, 616, 639 },
    { 37, 41, 42, 48, 55, 68, 79, 110, 166, 184, 226, 290, 314, 324, 338, 369, 
    385, 440, 497, 522, 537, 560, 570, 594, 602, 637 },
    { 32, 42, 45, 77, 95, 100, 122, 145, 147, 174, 186, 190, 208, 274, 280, 349, 
    449, 475, 477, 486, 498, 526, 543, 582, 595, 634 },
    { 21, 22, 43, 54, 58, 156, 181, 201, 227, 332, 356, 357, 360, 384, 386, 404, 
    411, 426, 437, 461, 494, 500, 537, 543, 576, 650 },
    { 3, 6, 20, 48, 63, 89, 100, 127, 130, 148, 207, 244, 286, 295, 336, 382, 415,
    419, 437, 459, 465, 487, 515, 552, 563, 639 },
    { 14, 18, 89, 117, 152, 169, 189, 257, 269, 280, 316, 321, 359, 435, 453, 473,
    521, 537, 538, 541, 547, 556, 568, 611, 623, 635 },
    { 49, 65, 85, 100, 111, 112, 152, 168, 197, 205, 226, 243, 256, 259, 311, 373,
    384, 400, 408, 422, 428, 451, 544, 545, 584, 646 },
    { 12, 47, 55, 57, 75, 96, 157, 208, 228, 256, 257, 258, 275, 276, 295, 345, 
    357, 358, 377, 417, 424, 452, 462, 592, 625, 648 },
    { 3, 4, 8, 75, 85, 187, 202, 249, 255, 272, 291, 351, 359, 386, 445, 469, 474,
    475, 497, 503, 510, 512, 575, 585, 622, 642 },
    { 66, 96, 97, 113, 201, 213, 267, 280, 282, 292, 355, 399, 416, 428, 430, 458,
    474, 505, 563, 588, 598, 599, 602, 610, 615, 651 },
    { 6, 21, 51, 53, 59, 91, 119, 139, 150, 161, 186, 189, 256, 272, 327, 341, 
    365, 372, 447, 488, 516, 531, 553, 593, 599, 637 },
    { 15, 24, 26, 34, 42, 126, 182, 213, 238, 239, 240, 242, 243, 247, 328, 340, 
    341, 344, 401, 406, 437, 444, 575, 611, 619, 648 },
    { 45, 46, 59, 81, 131, 141, 154, 165, 181, 199, 230, 270, 319, 358, 389, 400, 
    401, 421, 438, 465, 497, 501, 518, 574, 623, 651 },
    { 17, 29, 50, 77, 93, 148, 169, 233, 240, 253, 263, 293, 306, 307, 324, 332, 
    358, 399, 414, 433, 451, 488, 493, 504, 510, 643 },
    { 43, 47, 59, 95, 102, 115, 133, 184, 194, 207, 213, 253, 259, 284, 300, 305, 
    310, 370, 403, 476, 485, 512, 547, 608, 618, 627 },
    { 3, 29, 87, 91, 140, 209, 238, 264, 270, 271, 275, 331, 355, 373, 403, 427, 
    432, 509, 511, 537, 542, 559, 569, 604, 612, 634 },
    { 22, 36, 63, 104, 124, 190, 205, 213, 272, 319, 324, 326, 334, 425, 452, 454,
    456, 473, 490, 495, 525, 551, 572, 573, 612, 638 },
    { 18, 19, 42, 98, 131, 157, 187, 188, 196, 197, 200, 287, 297, 310, 331, 350, 
    356, 366, 405, 419, 493, 506, 536, 572, 599, 641 },
    { 3, 10, 26, 61, 95, 108, 118, 215, 223, 290, 348, 350, 362, 399, 425, 480, 
    481, 500, 501, 531, 538, 571, 578, 584, 592, 645 },
    { 4, 59, 79, 89, 98, 111, 160, 179, 239, 250, 271, 273, 332, 352, 396, 410, 
    423, 446, 454, 505, 524, 565, 592, 595, 605, 626 },
    { 54, 89, 110, 133, 159, 178, 203, 208, 248, 272, 281, 294, 297, 312, 317, 
    322, 325, 340, 364, 390, 397, 399, 412, 518, 542, 646 },
    { 39, 113, 124, 149, 176, 192, 233, 283, 290, 300, 309, 341, 357, 359, 376, 
    383, 408, 449, 465, 482, 499, 536, 542, 554, 558, 626 },
    { 27, 30, 61, 78, 83, 106, 129, 130, 169, 174, 200, 201, 226, 265, 271, 277, 
    284, 341, 377, 468, 478, 490, 518, 534, 585, 647 },
    { 43, 86, 91, 164, 169, 205, 231, 258, 266, 274, 290, 317, 329, 333, 351, 389,
    430, 436, 506, 515, 533, 557, 565, 577, 619, 632 },
    { 8, 22, 33, 76, 82, 115, 127, 143, 166, 169, 175, 209, 222, 239, 256, 288, 
    325, 349, 379, 492, 501, 536, 567, 588, 617, 633 },
    { 36, 102, 121, 156, 186, 235, 289, 290, 293, 368, 391, 417, 418, 419, 422, 
    423, 427, 507, 517, 518, 521, 575, 581, 610, 617, 629 },
    { 8, 13, 34, 71, 91, 128, 152, 177, 180, 196, 210, 253, 294, 299, 314, 339, 
    346, 362, 391, 452, 465, 478, 505, 543, 600, 630 },
    { 58, 84, 96, 145, 148, 177, 200, 238, 252, 259, 315, 326, 343, 351, 364, 369,
    394, 429, 438, 489, 491, 531, 568, 617, 624, 626 },
    { 30, 57, 58, 95, 159, 185, 249, 261, 263, 270, 334, 346, 383, 406, 409, 439, 
    446, 453, 487, 545, 570, 577, 581, 590, 599, 633 },
    { 6, 35, 37, 54, 108, 143, 164, 170, 187, 214, 242, 259, 270, 387, 416, 452, 
    471, 496, 499, 521, 524, 526, 534, 562, 601, 643 },
    { 6, 7, 9, 42, 56, 103, 152, 162, 183, 198, 251, 333, 360, 368, 377, 381, 399,
    438, 454, 482, 512, 559, 566, 587, 616, 633 },
    { 36, 73, 150, 157, 159, 162, 166, 173, 201, 212, 273, 343, 347, 380, 444, 
    465, 510, 519, 533, 547, 549, 555, 583, 584, 601, 634 },
    { 12, 21, 25, 73, 95, 140, 169, 243, 245, 278, 323, 339, 366, 385, 390, 418, 
    421, 459, 474, 529, 551, 562, 580, 587, 597, 626 },
    { 110, 128, 185, 186, 227, 247, 258, 282, 291, 366, 373, 457, 482, 489, 501, 
    504, 520, 525, 532, 534, 547, 596, 603, 605, 614, 639 },
    { 34, 39, 59, 86, 109, 137, 138, 178, 187, 226, 251, 263, 280, 288, 295, 335, 
    343, 367, 378, 404, 448, 520, 578, 580, 612, 629 },
    { 6, 26, 78, 177, 188, 219, 222, 246, 249, 276, 324, 412, 421, 422, 426, 435, 
    441, 502, 520, 554, 565, 591, 598, 608, 613, 634 },
    { 31, 45, 87, 106, 112, 135, 149, 162, 204, 229, 236, 262, 272, 295, 328, 332,
    339, 350, 416, 435, 476, 508, 570, 596, 617, 632 },
    { 18, 91, 97, 106, 125, 166, 170, 199, 206, 207, 224, 234, 248, 306, 311, 315,
    367, 406, 418, 426, 477, 482, 513, 573, 592, 642 },
    { 11, 73, 100, 107, 119, 121, 129, 160, 165, 170, 183, 213, 220, 227, 255, 
    263, 275, 317, 362, 369, 374, 435, 467, 536, 546, 649 },
    { 4, 5, 18, 37, 39, 43, 112, 123, 190, 219, 225, 240, 241, 282, 308, 330, 362,
    424, 447, 459, 460, 509, 518, 519, 624, 633 },
    { 16, 60, 62, 68, 71, 83, 132, 202, 231, 273, 275, 306, 356, 370, 397, 416, 
    422, 449, 487, 501, 580, 593, 611, 616, 624, 638 },
    { 8, 35, 106, 121, 126, 172, 176, 205, 217, 228, 261, 312, 331, 375, 404, 415,
    421, 442, 488, 547, 550, 566, 595, 602, 624, 645 },
    { 11, 55, 66, 83, 128, 188, 212, 214, 240, 245, 264, 272, 305, 315, 333, 349, 
    382, 408, 446, 517, 550, 576, 578, 606, 623, 628 },
    { 10, 34, 55, 62, 65, 94, 114, 135, 151, 169, 227, 270, 309, 326, 352, 361, 
    375, 412, 419, 447, 477, 512, 555, 615, 620, 640 },
    { 3, 47, 51, 56, 71, 112, 124, 165, 169, 171, 179, 203, 211, 214, 221, 235, 
    252, 287, 304, 347, 392, 406, 520, 582, 602, 650 },
    { 12, 27, 45, 54, 114, 119, 136, 138, 146, 180, 239, 249, 290, 292, 298, 310, 
    347, 354, 382, 413, 451, 559, 573, 603, 624, 635 },
    { 10, 19, 36, 59, 101, 113, 195, 221, 229, 243, 244, 248, 257, 264, 274, 277, 
    291, 338, 346, 360, 433, 441, 471, 492, 624, 649 },
    { 54, 96, 106, 123, 152, 153, 158, 192, 193, 278, 287, 374, 401, 409, 423, 
    440, 445, 456, 492, 504, 515, 578, 593, 618, 620, 634 },
    { 64, 76, 87, 100, 120, 189, 199, 305, 313, 354, 360, 378, 397, 452, 460, 468,
    493, 549, 571, 575, 577, 602, 613, 614, 620, 626 },
    { 10, 27, 50, 51, 75, 88, 107, 184, 190, 192, 197, 199, 204, 209, 266, 364, 
    391, 393, 404, 446, 463, 587, 598, 601, 611, 639 },
    { 32, 37, 52, 63, 101, 107, 167, 185, 189, 200, 306, 312, 339, 347, 400, 410, 
    434, 436, 494, 512, 554, 567, 578, 604, 610, 648 },
    { 9, 18, 68, 93, 96, 105, 118, 130, 133, 176, 204, 227, 237, 254, 264, 288, 
    319, 347, 479, 526, 529, 545, 553, 565, 575, 630 },
    { 11, 13, 19, 22, 32, 50, 81, 105, 151, 207, 249, 251, 283, 344, 371, 390, 
    396, 424, 427, 464, 534, 568, 584, 593, 602, 632 },
    { 15, 28, 29, 63, 79, 85, 106, 154, 157, 211, 227, 268, 333, 335, 346, 379, 
    390, 413, 443, 449, 460, 521, 531, 589, 598, 627 },
    { 63, 86, 87, 114, 115, 131, 192, 203, 232, 247, 273, 276, 311, 338, 362, 381,
    395, 455, 470, 474, 488, 526, 568, 576, 581, 647 },
    { 48, 58, 81, 101, 106, 161, 171, 194, 210, 219, 220, 231, 239, 318, 366, 393,
    399, 408, 417, 526, 539, 541, 549, 612, 622, 640 },
    { 7, 89, 107, 166, 180, 188, 202, 252, 277, 279, 289, 300, 345, 388, 401, 460,
    486, 488, 500, 523, 532, 545, 562, 612, 615, 632 },
    { 25, 44, 58, 68, 70, 76, 109, 126, 163, 207, 221, 233, 272, 352, 362, 377, 
    400, 405, 430, 463, 472, 521, 523, 564, 603, 634 },
    { 29, 73, 134, 176, 186, 210, 214, 226, 229, 266, 285, 310, 394, 401, 412, 
    424, 454, 470, 472, 487, 494, 556, 571, 588, 609, 642 },
    { 24, 56, 83, 119, 123, 133, 250, 261, 274, 283, 295, 311, 316, 326, 366, 379,
    391, 458, 472, 497, 500, 535, 583, 604, 613, 643 },
    { 69, 103, 141, 169, 187, 190, 210, 228, 234, 262, 264, 300, 374, 397, 410, 
    437, 443, 458, 484, 491, 548, 581, 584, 591, 603, 637 },
    { 626 .. 651 }
];