# L contains 1000 integers
# L2 contains 10,000 integers
# L3 contains 100,000 integers!

L = [99, 627, 780, 305, 574, 732, 582, 662, 123, 864, 764, 515, 308, 40, 768, 637, 922, 572, 960, 679, 802, 478, 618, 320, 720, 433, 272, 110, 194, 811, 578, 116, 387, 140, 452, 87, 359, 655, 879, 422, 727, 555, 156, 857, 179, 520, 38, 591, 295, 461, 312, 339, 386, 471, 322, 732, 636, 263, 171, 245, 718, 462, 653, 699, 100, 491, 213, 38, 139, 56, 740, 991, 749, 828, 744, 994, 304, 648, 507, 635, 576, 827, 359, 289, 887, 25, 826, 315, 942, 717, 130, 323, 467, 210, 522, 327, 770, 582, 624, 978, 61, 692, 692, 808, 307, 971, 713, 493, 41, 640, 587, 847, 178, 609, 326, 605, 710, 454, 216, 163, 766, 394, 736, 168, 980, 929, 369, 947, 643, 601, 507, 303, 290, 208, 660, 937, 293, 861, 204, 466, 735, 427, 964, 819, 354, 875, 442, 240, 626, 994, 618, 618, 941, 149, 105, 395, 16, 874, 586, 217, 536, 695, 53, 392, 313, 455, 451, 854, 933, 758, 937, 78, 782, 762, 779, 602, 985, 853, 774, 489, 908, 994, 256, 672, 78, 232, 637, 505, 319, 609, 702, 889, 191, 27, 313, 416, 575, 255, 382, 325, 159, 9, 358, 158, 267, 848, 972, 856, 470, 325, 451, 118, 886, 180, 440, 252, 125, 664, 589, 648, 493, 418, 494, 920, 120, 953, 514, 586, 987, 981, 124, 354, 590, 401, 851, 525, 483, 994, 925, 778, 505, 279, 188, 218, 729, 122, 954, 777, 904, 521, 315, 995, 260, 212, 335, 484, 571, 599, 590, 712, 673, 927, 452, 812, 514, 115, 988, 660, 482, 492, 84, 368, 258, 925, 103, 390, 791, 942, 535, 319, 704, 18, 578, 962, 747, 453, 744, 675, 824, 857, 109, 536, 47, 557, 940, 299, 689, 925, 138, 862, 233, 424, 995, 164, 186, 407, 65, 56, 506, 895, 558, 466, 72, 180, 330, 462, 69, 556, 633, 152, 388, 619, 44, 913, 897, 492, 212, 82, 272, 198, 786, 319, 126, 785, 739, 46, 288, 37, 253, 94, 180, 726, 947, 956, 565, 5, 963, 189, 24, 317, 446, 139, 377, 546, 816, 416, 10, 830, 720, 282, 944, 987, 374, 424, 20, 198, 439, 54, 472, 875, 813, 693, 321, 397, 525, 254, 543, 560, 916, 260, 310, 92, 79, 235, 777, 842, 612, 989, 308, 536, 120, 248, 962, 345, 602, 710, 741, 572, 473, 593, 858, 995, 766, 790, 389, 33, 242, 625, 975, 126, 739, 200, 899, 355, 331, 337, 797, 373, 820, 31, 848, 628, 919, 75, 671, 257, 562, 520, 414, 821, 40, 580, 461, 680, 880, 584, 810, 472, 644, 977, 52, 404, 802, 23, 736, 424, 595, 439, 603, 769, 28, 153, 175, 138, 962, 347, 366, 493, 595, 365, 823, 63, 411, 496, 851, 856, 609, 368, 212, 475, 565, 899, 697, 272, 518, 109, 137, 87, 416, 506, 899, 714, 874, 385, 880, 818, 117, 277, 246, 143, 152, 90, 635, 429, 33, 187, 502, 337, 4, 582, 432, 987, 911, 301, 300, 375, 871, 188, 653, 215, 237, 879, 276, 670, 654, 272, 992, 151, 331, 793, 588, 117, 581, 524, 155, 450, 513, 587, 678, 244, 305, 946, 931, 528, 394, 551, 623, 294, 552, 286, 975, 20, 620, 927, 335, 495, 541, 567, 403, 775, 184, 943, 129, 390, 237, 464, 224, 390, 847, 470, 659, 552, 21, 976, 891, 630, 173, 81, 451, 7, 736, 299, 893, 171, 456, 797, 568, 681, 195, 262, 882, 877, 88, 840, 932, 107, 100, 639, 532, 685, 824, 942, 38, 883, 913, 683, 467, 605, 78, 937, 275, 42, 142, 195, 881, 662, 133, 694, 530, 21, 803, 285, 299, 423, 865, 486, 49, 535, 649, 957, 217, 586, 297, 589, 583, 880, 934, 755, 765, 704, 817, 155, 235, 841, 512, 528, 50, 575, 919, 813, 697, 310, 343, 378, 469, 739, 27, 936, 995, 82, 262, 863, 428, 970, 354, 681, 833, 139, 757, 619, 52, 818, 576, 464, 875, 518, 314, 12, 256, 630, 267, 849, 43, 238, 104, 801, 606, 560, 944, 136, 700, 531, 594, 203, 753, 205, 821, 912, 151, 771, 76, 419, 763, 691, 949, 586, 198, 677, 669, 563, 461, 504, 585, 285, 498, 156, 548, 363, 601, 861, 977, 183, 273, 842, 4, 89, 634, 565, 427, 602, 209, 25, 393, 962, 582, 168, 520, 246, 359, 38, 170, 751, 650, 876, 20, 555, 497, 216, 608, 366, 718, 140, 245, 86, 116, 245, 621, 952, 866, 344, 710, 263, 938, 488, 760, 878, 913, 900, 242, 220, 825, 641, 802, 950, 828, 72, 734, 998, 475, 704, 591, 196, 204, 265, 628, 810, 568, 58, 392, 402, 257, 842, 639, 98, 229, 492, 888, 812, 611, 673, 72, 804, 78, 678, 273, 35, 989, 986, 56, 433, 223, 70, 986, 867, 640, 377, 431, 182, 529, 157, 912, 37, 307, 947, 749, 433, 9, 100, 660, 859, 415, 213, 861, 760, 627, 106, 178, 12, 809, 310, 317, 20, 434, 394, 46, 908, 921, 21, 804, 337, 474, 971, 510, 636, 614, 747, 34, 402, 771, 577, 905, 495, 383, 308, 215, 625, 955, 103, 378, 558, 209, 387, 482, 424, 25, 469, 54, 654, 427, 919, 73, 938, 551, 26, 132, 979, 904, 894, 838, 389, 847, 680, 940, 65, 868, 877, 97, 961, 977, 167, 434, 27, 496, 174, 496, 529, 255, 400, 564, 694, 692, 521, 155, 940, 339, 377, 66, 127, 526, 873, 789, 911, 540, 26, 602, 161, 437, 819, 986, 385, 387, 604, 340, 941, 416, 449, 70, 91, 555, 215, 677, 135, 452, 161, 592, 618, 94, 36, 557, 567, 356, 838, 843, 76, 225, 335, 582, 907, 482, 203, 484, 356, 570, 432, 429, 129, 758, 124, 20, 979, 976, 498, 821, 503, 59, 54, 110, 575, 749, 560, 885, 734, 202, 929, 676, 762, 728, 944, 241, 954, 53, 495, 324, 438, 990, 432, 706, 70, 828, 238, 971, 813, 80, 980, 461, 550, 227, 263, 270, 790]

L2 = [975, 553, 855, 125, 21, 129, 451, 294, 145, 417, 745, 1, 977, 484, 521, 421, 603, 459, 364, 639, 510, 981, 464, 166, 393, 470, 429, 895, 144, 894, 549, 666, 587, 188, 465, 971, 32, 393, 678, 536, 357, 526, 862, 37, 837, 947, 60, 918, 103, 491, 434, 831, 420, 866, 70, 186, 642, 985, 678, 342, 191, 134, 990, 955, 830, 559, 556, 412, 922, 492, 366, 519, 521, 62, 711, 510, 978, 906, 205, 914, 561, 126, 749, 315, 333, 503, 889, 411, 777, 426, 503, 918, 828, 642, 861, 427, 796, 903, 586, 681, 43, 681, 483, 40, 848, 313, 672, 258, 706, 904, 602, 798, 676, 849, 347, 970, 586, 463, 313, 948, 699, 644, 491, 925, 35, 349, 180, 705, 768, 71, 687, 402, 827, 0, 164, 247, 299, 745, 210, 55, 391, 165, 678, 500, 628, 102, 330, 739, 545, 122, 817, 795, 139, 76, 397, 281, 943, 623, 382, 894, 949, 896, 96, 50, 116, 806, 292, 711, 561, 434, 455, 619, 248, 944, 907, 704, 133, 85, 909, 86, 874, 132, 563, 253, 343, 728, 899, 870, 246, 265, 218, 236, 668, 855, 541, 175, 579, 506, 582, 225, 27, 950, 10, 969, 684, 715, 153, 187, 192, 72, 679, 285, 802, 166, 62, 517, 215, 306, 552, 243, 650, 864, 918, 160, 573, 803, 145, 31, 294, 429, 180, 884, 925, 583, 12, 239, 374, 92, 337, 685, 604, 969, 119, 384, 974, 414, 959, 248, 535, 681, 717, 700, 947, 985, 389, 211, 62, 929, 207, 896, 150, 128, 203, 980, 248, 297, 387, 697, 213, 880, 362, 165, 212, 606, 647, 552, 83, 508, 133, 810, 945, 73, 342, 621, 87, 133, 717, 459, 773, 405, 275, 119, 560, 126, 90, 292, 719, 26, 931, 644, 223, 904, 286, 926, 426, 107, 151, 110, 525, 572, 409, 651, 681, 177, 816, 868, 654, 573, 20, 176, 928, 913, 416, 784, 277, 867, 577, 390, 365, 147, 164, 585, 523, 568, 200, 870, 241, 839, 807, 45, 429, 664, 180, 439, 676, 836, 610, 318, 198, 406, 796, 503, 505, 239, 121, 928, 884, 561, 821, 380, 492, 886, 544, 774, 617, 351, 256, 311, 698, 491, 640, 365, 642, 415, 931, 926, 968, 359, 398, 168, 578, 205, 678, 147, 82, 880, 17, 787, 584, 58, 244, 998, 792, 442, 89, 296, 806, 96, 639, 990, 748, 569, 278, 268, 45, 823, 265, 352, 387, 321, 411, 414, 314, 271, 854, 128, 994, 489, 508, 405, 980, 736, 206, 275, 974, 430, 160, 39, 455, 782, 589, 234, 970, 966, 618, 439, 189, 3, 85, 350, 263, 214, 721, 305, 819, 66, 620, 742, 388, 53, 456, 387, 171, 415, 490, 445, 777, 142, 480, 376, 829, 921, 900, 840, 3, 393, 779, 425, 643, 2, 293, 729, 918, 312, 844, 195, 630, 797, 355, 104, 416, 356, 230, 282, 79, 490, 39, 153, 318, 632, 291, 570, 480, 119, 644, 567, 149, 343, 727, 459, 843, 217, 923, 964, 953, 858, 831, 378, 272, 44, 453, 372, 217, 38, 929, 789, 131, 371, 601, 778, 432, 305, 203, 978, 591, 68, 251, 428, 744, 846, 207, 997, 979, 309, 534, 478, 597, 230, 764, 870, 404, 627, 218, 68, 65, 980, 277, 988, 901, 704, 639, 534, 948, 110, 342, 263, 970, 459, 179, 772, 270, 486, 501, 15, 201, 717, 732, 768, 513, 874, 126, 306, 81, 431, 715, 684, 833, 135, 684, 729, 573, 30, 56, 672, 203, 237, 586, 771, 324, 963, 361, 882, 959, 726, 527, 908, 521, 160, 575, 967, 330, 725, 941, 33, 405, 76, 388, 558, 244, 658, 565, 87, 354, 966, 856, 465, 408, 672, 184, 187, 399, 656, 30, 837, 829, 300, 401, 159, 541, 433, 725, 131, 501, 314, 642, 164, 589, 68, 922, 10, 93, 978, 238, 172, 546, 129, 815, 747, 668, 354, 215, 224, 167, 946, 429, 493, 352, 847, 291, 450, 87, 200, 142, 276, 209, 877, 557, 173, 48, 495, 860, 942, 386, 919, 477, 505, 448, 125, 42, 716, 923, 435, 415, 675, 928, 198, 316, 608, 494, 18, 156, 421, 985, 885, 236, 546, 92, 740, 471, 701, 285, 970, 526, 761, 784, 489, 74, 333, 16, 124, 538, 40, 551, 889, 327, 530, 434, 741, 726, 692, 14, 745, 673, 757, 501, 194, 24, 748, 127, 850, 417, 707, 412, 281, 409, 305, 629, 668, 400, 642, 190, 636, 218, 459, 776, 726, 827, 675, 130, 641, 912, 61, 986, 986, 786, 557, 107, 639, 803, 515, 907, 167, 139, 366, 86, 378, 755, 296, 223, 140, 773, 852, 241, 233, 370, 479, 965, 874, 589, 769, 676, 466, 897, 103, 742, 149, 59, 51, 826, 236, 149, 684, 313, 746, 418, 821, 229, 514, 476, 593, 213, 16, 77, 762, 316, 630, 393, 658, 693, 856, 272, 782, 578, 486, 617, 196, 394, 474, 335, 223, 197, 723, 973, 886, 958, 683, 818, 230, 7, 36, 800, 373, 519, 337, 631, 88, 431, 130, 977, 928, 817, 402, 780, 77, 476, 864, 979, 150, 158, 684, 262, 267, 259, 315, 944, 927, 231, 245, 255, 368, 326, 606, 66, 857, 492, 702, 103, 638, 414, 864, 860, 99, 996, 581, 386, 684, 568, 597, 952, 377, 706, 106, 705, 166, 564, 433, 115, 863, 721, 786, 559, 307, 836, 531, 888, 34, 600, 903, 358, 104, 727, 540, 985, 116, 801, 127, 821, 914, 854, 509, 806, 338, 669, 637, 166, 263, 201, 169, 756, 858, 998, 823, 586, 484, 856, 199, 930, 304, 44, 361, 182, 123, 175, 157, 134, 257, 829, 28, 918, 479, 492, 291, 887, 528, 247, 643, 925, 485, 286, 93, 185, 785, 990, 622, 692, 599, 319, 452, 950, 156, 99, 860, 562, 926, 402, 9, 174, 964, 691, 735, 502, 642, 67, 427, 673, 978, 529, 850, 762, 297, 158, 665, 80, 491, 378, 494, 154, 878, 957, 266, 871, 680, 48, 823, 648, 930, 56, 924, 307, 986, 413, 902, 174, 906, 2, 320, 689, 772, 681, 714, 170, 851, 187, 522, 480, 674, 884, 774, 802, 940, 144, 794, 278, 825, 373, 46, 182, 888, 398, 781, 177, 88, 250, 568, 838, 826, 485, 745, 777, 572, 524, 115, 648, 192, 322, 191, 952, 907, 71, 963, 888, 61, 709, 163, 344, 108, 688, 406, 830, 703, 898, 298, 210, 667, 461, 831, 316, 170, 511, 949, 806, 405, 796, 47, 582, 259, 241, 555, 266, 222, 535, 94, 668, 197, 645, 361, 5, 791, 825, 250, 948, 577, 932, 184, 504, 616, 541, 74, 827, 22, 730, 927, 348, 163, 681, 605, 779, 137, 369, 787, 385, 914, 772, 68, 68, 215, 159, 246, 189, 899, 576, 227, 461, 996, 343, 94, 343, 373, 796, 688, 592, 360, 98, 18, 824, 580, 441, 248, 779, 27, 825, 796, 445, 360, 685, 146, 366, 620, 796, 504, 177, 55, 934, 806, 401, 724, 616, 22, 9, 670, 292, 190, 860, 955, 827, 874, 953, 80, 166, 643, 861, 906, 644, 905, 288, 694, 395, 856, 356, 226, 860, 904, 354, 844, 478, 624, 421, 898, 131, 784, 195, 557, 547, 690, 890, 407, 364, 373, 260, 999, 102, 756, 593, 583, 12, 264, 722, 759, 356, 42, 837, 823, 861, 721, 921, 124, 791, 185, 465, 504, 150, 844, 395, 130, 679, 815, 474, 460, 664, 918, 159, 810, 694, 302, 317, 848, 884, 705, 684, 159, 692, 363, 523, 716, 338, 168, 438, 804, 785, 249, 404, 744, 197, 489, 453, 819, 531, 582, 573, 180, 261, 448, 990, 792, 470, 415, 54, 319, 79, 261, 887, 31, 495, 119, 533, 912, 342, 572, 32, 505, 47, 988, 22, 240, 52, 487, 490, 889, 688, 845, 123, 974, 253, 967, 902, 267, 567, 835, 980, 849, 439, 241, 83, 838, 211, 104, 720, 834, 495, 480, 95, 841, 439, 346, 729, 269, 206, 149, 188, 705, 211, 693, 467, 191, 499, 795, 810, 460, 577, 481, 342, 72, 80, 586, 328, 112, 477, 703, 767, 645, 56, 78, 208, 256, 188, 526, 479, 282, 229, 116, 117, 411, 684, 178, 472, 376, 795, 686, 35, 993, 686, 948, 484, 160, 719, 936, 187, 878, 793, 463, 441, 132, 513, 746, 806, 600, 800, 798, 678, 634, 686, 835, 848, 206, 626, 697, 956, 16, 721, 570, 87, 922, 790, 641, 926, 778, 412, 401, 318, 217, 695, 768, 159, 598, 233, 590, 170, 425, 775, 77, 468, 477, 650, 556, 651, 510, 392, 929, 247, 98, 546, 106, 314, 639, 687, 978, 182, 900, 50, 455, 27, 386, 706, 982, 989, 820, 279, 525, 983, 671, 997, 949, 15, 65, 641, 971, 465, 194, 696, 698, 441, 167, 503, 526, 763, 504, 750, 302, 506, 244, 198, 518, 363, 458, 945, 119, 47, 316, 21, 506, 878, 501, 293, 918, 959, 954, 619, 362, 50, 98, 65, 391, 75, 697, 318, 315, 568, 570, 193, 612, 256, 85, 39, 278, 179, 795, 79, 244, 373, 871, 610, 238, 859, 391, 408, 360, 932, 304, 652, 659, 894, 219, 621, 134, 826, 653, 293, 75, 420, 549, 588, 643, 934, 789, 37, 102, 787, 936, 30, 550, 282, 182, 302, 332, 318, 526, 499, 175, 400, 537, 112, 824, 862, 696, 602, 607, 980, 81, 561, 961, 7, 400, 593, 783, 571, 780, 211, 165, 284, 525, 880, 57, 854, 559, 326, 934, 695, 272, 411, 630, 63, 184, 796, 504, 667, 525, 135, 457, 850, 288, 448, 183, 32, 462, 757, 354, 728, 189, 717, 393, 389, 376, 174, 621, 781, 143, 276, 709, 990, 93, 838, 626, 426, 215, 500, 854, 596, 184, 218, 351, 350, 719, 663, 529, 813, 815, 823, 597, 825, 153, 642, 730, 244, 3, 873, 47, 660, 309, 232, 87, 934, 407, 385, 208, 817, 686, 130, 419, 872, 948, 767, 150, 606, 739, 757, 974, 197, 803, 791, 34, 307, 647, 267, 468, 717, 461, 434, 352, 994, 379, 311, 958, 882, 123, 684, 433, 821, 570, 271, 585, 268, 41, 219, 597, 33, 898, 813, 770, 861, 321, 629, 407, 306, 527, 330, 530, 346, 60, 647, 125, 215, 64, 570, 528, 471, 17, 796, 376, 942, 432, 972, 514, 230, 889, 550, 263, 604, 854, 391, 346, 274, 643, 289, 516, 318, 187, 941, 377, 814, 632, 699, 28, 385, 217, 971, 873, 563, 103, 921, 948, 251, 318, 621, 806, 511, 306, 353, 204, 354, 684, 110, 494, 150, 297, 529, 546, 722, 542, 705, 196, 983, 839, 934, 947, 913, 49, 991, 663, 218, 577, 730, 40, 513, 512, 389, 684, 732, 748, 762, 786, 438, 11, 456, 421, 850, 827, 703, 812, 284, 935, 530, 64, 964, 565, 38, 682, 555, 738, 778, 995, 931, 918, 349, 549, 637, 183, 744, 238, 838, 47, 861, 473, 406, 907, 780, 703, 753, 123, 206, 844, 224, 916, 293, 397, 582, 393, 824, 892, 563, 325, 659, 801, 200, 177, 292, 824, 534, 739, 492, 989, 337, 237, 796, 446, 79, 265, 109, 353, 111, 811, 446, 635, 989, 491, 154, 350, 80, 213, 555, 904, 79, 370, 324, 296, 991, 989, 25, 101, 151, 776, 743, 341, 520, 85, 4, 503, 18, 477, 457, 235, 621, 559, 972, 529, 493, 678, 944, 82, 145, 722, 554, 617, 204, 425, 298, 465, 713, 313, 571, 418, 553, 236, 633, 327, 985, 271, 210, 76, 856, 587, 344, 652, 96, 283, 313, 273, 433, 740, 733, 59, 354, 537, 309, 18, 636, 426, 300, 109, 328, 692, 903, 812, 137, 521, 705, 462, 822, 20, 693, 826, 361, 184, 900, 398, 376, 184, 490, 126, 670, 714, 60, 487, 328, 290, 870, 934, 440, 27, 581, 985, 895, 563, 79, 919, 453, 540, 855, 454, 758, 805, 226, 55, 483, 744, 83, 763, 929, 163, 804, 828, 970, 848, 93, 290, 919, 518, 440, 32, 873, 488, 576, 763, 80, 458, 451, 432, 767, 735, 612, 887, 114, 341, 651, 737, 699, 173, 733, 750, 409, 930, 734, 78, 869, 680, 749, 973, 423, 441, 332, 890, 738, 758, 240, 395, 547, 992, 328, 176, 254, 848, 377, 61, 236, 258, 105, 595, 990, 532, 161, 780, 137, 781, 520, 162, 656, 587, 726, 744, 229, 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