deque([0])
deque([1])
deque([2])
deque([3, 51])
deque([51, 4])
deque([4, 52])
deque([52, 5])
deque([5, 53])
deque([53, 6, 128])
deque([6, 128, 54])
deque([128, 54, 7, 320])
deque([54, 7, 320, 129])
deque([7, 320, 129, 55, 559, 138, 937, 919])
deque([320, 129, 55, 559, 138, 937, 919, 8, 62, 643])
deque([129, 55, 559, 138, 937, 919, 8, 62, 643, 321])
deque([55, 559, 138, 937, 919, 8, 62, 643, 321, 130])
deque([559, 138, 937, 919, 8, 62, 643, 321, 130, 56, 977])
deque([138, 937, 919, 8, 62, 643, 321, 130, 56, 977, 560])
deque([937, 919, 8, 62, 643, 321, 130, 56, 977, 560, 139])
deque([919, 8, 62, 643, 321, 130, 56, 977, 560, 139, 938])
deque([8, 62, 643, 321, 130, 56, 977, 560, 139, 938, 920])
deque([62, 643, 321, 130, 56, 977, 560, 139, 938, 920, 9, 557, 101, 22])
deque([643, 321, 130, 56, 977, 560, 139, 938, 920, 9, 557, 101, 22, 63])
deque([321, 130, 56, 977, 560, 139, 938, 920, 9, 557, 101, 22, 63, 644])
deque([130, 56, 977, 560, 139, 938, 920, 9, 557, 101, 22, 63, 644, 322, 829, 184])
deque([56, 977, 560, 139, 938, 920, 9, 557, 101, 22, 63, 644, 322, 829, 184, 131, 552, 299, 183, 771])
deque([977, 560, 139, 938, 920, 9, 557, 101, 22, 63, 644, 322, 829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182])
deque([560, 139, 938, 920, 9, 557, 101, 22, 63, 644, 322, 829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978])
deque([139, 938, 920, 9, 557, 101, 22, 63, 644, 322, 829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692])
deque([938, 920, 9, 557, 101, 22, 63, 644, 322, 829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140])
deque([920, 9, 557, 101, 22, 63, 644, 322, 829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939])
deque([9, 557, 101, 22, 63, 644, 322, 829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732])
deque([557, 101, 22, 63, 644, 322, 829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955])
deque([101, 22, 63, 644, 322, 829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558])
deque([22, 63, 644, 322, 829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102])
deque([63, 644, 322, 829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23])
deque([644, 322, 829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64])
deque([322, 829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645])
deque([829, 184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908])
deque([184, 131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830])
deque([131, 552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185])
deque([552, 299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132])
deque([299, 183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553])
deque([183, 771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300])
deque([771, 57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300])
deque([57, 623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772])
deque([623, 669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650])
deque([669, 549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624])
deque([549, 182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670])
deque([182, 978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550])
deque([978, 561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550])
deque([561, 692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979])
deque([692, 140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431])
deque([140, 939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693])
deque([939, 921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141])
deque([921, 296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681])
deque([296, 261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290])
deque([261, 174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297])
deque([174, 732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262])
deque([732, 10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175])
deque([10, 188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733])
deque([188, 901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11])
deque([901, 204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189])
deque([204, 866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902])
deque([866, 970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205])
deque([970, 70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867])
deque([70, 490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971])
deque([490, 537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71])
deque([537, 797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491])
deque([797, 614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538])
deque([614, 480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798])
deque([480, 217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615])
deque([217, 150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481])
deque([150, 599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218])
deque([599, 897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151])
deque([897, 916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600])
deque([916, 687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898])
deque([687, 317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917])
deque([317, 637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688])
deque([637, 750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318])
deque([750, 448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638])
deque([448, 543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751])
deque([543, 309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449])
deque([309, 308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544])
deque([308, 758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310])
deque([758, 744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310])
deque([744, 415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759])
deque([415, 822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745])
deque([822, 316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416])
deque([316, 935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823])
deque([935, 721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823])
deque([721, 527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936])
deque([527, 965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722])
deque([965, 927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528])
deque([927, 447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966])
deque([447, 574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928])
deque([574, 146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928])
deque([146, 740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928])
deque([740, 457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147])
deque([457, 794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741])
deque([794, 955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458])
deque([955, 558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795])
deque([558, 102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956])
deque([102, 23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380])
deque([23, 64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103])
deque([64, 645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246])
deque([645, 323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65])
deque([323, 908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718])
deque([908, 830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621])
deque([830, 185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909])
deque([185, 132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831])
deque([132, 553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357])
deque([553, 300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113])
deque([300, 772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554])
deque([772, 58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301])
deque([58, 77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773])
deque([77, 904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878])
deque([904, 777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78])
deque([777, 815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905])
deque([815, 736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778])
deque([736, 650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816])
deque([650, 624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737])
deque([624, 670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737])
deque([670, 550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625])
deque([550, 979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61])
deque([979, 562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551])
deque([562, 932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989])
deque([932, 88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563])
deque([88, 848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933])
deque([848, 844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89])
deque([844, 352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849])
deque([352, 837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845])
deque([837, 473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353])
deque([473, 652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838])
deque([652, 760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474])
deque([760, 947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653])
deque([947, 813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761])
deque([813, 354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948])
deque([354, 582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814])
deque([582, 824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355])
deque([824, 960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583])
deque([960, 598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825])
deque([598, 855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961])
deque([855, 957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961])
deque([957, 622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856])
deque([622, 16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958])
deque([16, 504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958])
deque([504, 884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17])
deque([884, 893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505])
deque([893, 664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885])
deque([664, 533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894])
deque([533, 575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665])
deque([575, 187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665])
deque([187, 143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576])
deque([143, 407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576])
deque([407, 431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144])
deque([431, 693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408])
deque([693, 141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432])
deque([141, 940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694])
deque([940, 887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142])
deque([887, 207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539])
deque([207, 502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888])
deque([502, 238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888])
deque([238, 199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503])
deque([199, 243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239])
deque([243, 681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200])
deque([681, 922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244])
deque([922, 710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682])
deque([710, 290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726])
deque([290, 297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711])
deque([297, 262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291])
deque([262, 175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298])
deque([175, 733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336])
deque([733, 11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176])
deque([11, 189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734])
deque([189, 902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315])
deque([902, 205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396])
deque([205, 867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903])
deque([867, 971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154])
deque([971, 71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868])
deque([71, 491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221])
deque([491, 538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810])
deque([538, 798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493])
deque([798, 615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493])
deque([615, 481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500])
deque([481, 218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177])
deque([218, 151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177])
deque([151, 600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179])
deque([600, 898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634])
deque([898, 917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742])
deque([917, 688, 318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899])
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deque([318, 638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689])
deque([638, 751, 449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319])
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deque([449, 544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752])
deque([544, 310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450])
deque([310, 759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450])
deque([759, 745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311])
deque([745, 416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311])
deque([416, 823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515])
deque([823, 936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383])
deque([936, 722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383])
deque([722, 528, 966, 928, 147, 741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383])
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deque([741, 458, 795, 956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135])
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deque([956, 82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828])
deque([82, 380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828])
deque([380, 103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83])
deque([103, 24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381])
deque([24, 246, 65, 646, 422, 534, 343, 720, 208, 186, 959, 764, 875, 892, 718, 324, 201, 443, 264, 621, 909, 831, 594, 651, 467, 763, 333, 357, 133, 545, 113, 554, 301, 773, 59, 890, 878, 78, 905, 778, 816, 737, 625, 671, 61, 551, 980, 194, 946, 591, 529, 437, 989, 563, 933, 89, 849, 845, 353, 838, 474, 653, 761, 948, 814, 355, 583, 825, 961, 856, 958, 17, 505, 885, 894, 665, 576, 144, 408, 432, 694, 142, 941, 79, 539, 888, 503, 239, 200, 244, 682, 923, 799, 459, 360, 675, 870, 587, 471, 462, 726, 711, 291, 298, 263, 274, 430, 136, 118, 161, 391, 336, 176, 734, 12, 315, 190, 295, 338, 635, 507, 661, 519, 954, 564, 394, 584, 260, 344, 555, 433, 929, 456, 288, 247, 683, 358, 833, 994, 116, 254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405])
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deque([254, 98, 451, 396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117])
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deque([396, 903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99])
deque([903, 206, 215, 154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397])
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deque([154, 868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397])
deque([868, 972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397])
deque([972, 221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877])
deque([221, 72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19])
deque([72, 810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222])
deque([810, 492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862])
deque([492, 493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811])
deque([493, 270, 482, 229, 873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811])
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deque([873, 500, 616, 41, 629, 728, 177, 219, 788, 452, 512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230])
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deque([512, 155, 818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453])
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deque([818, 857, 169, 418, 570, 781, 708, 179, 152, 817, 216, 746, 634, 601, 748, 800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156])
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deque([800, 724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749])
deque([724, 535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749])
deque([535, 305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725])
deque([305, 521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536])
deque([521, 15, 742, 899, 918, 689, 319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536])
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deque([319, 639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641])
deque([639, 752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597])
deque([752, 450, 311, 392, 626, 577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640])
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deque([577, 171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627])
deque([171, 442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627])
deque([442, 226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172])
deque([226, 515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172])
deque([515, 417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227])
deque([417, 173, 517, 124, 383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516])
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deque([383, 723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518])
deque([723, 967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384])
deque([967, 705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384])
deque([705, 109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384])
deque([109, 475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706])
deque([475, 21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110])
deque([21, 240, 807, 148, 531, 135, 679, 796, 828, 83, 381, 104, 460, 836, 46, 26, 426, 969, 511, 803, 676, 968, 792, 655, 566, 945, 265, 414, 107, 400, 385, 18, 213, 275, 514, 487, 211, 609, 225, 335, 914, 269, 701, 330, 405, 25, 66, 647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476])
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deque([647, 423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331])
deque([423, 209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703])
deque([209, 765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250])
deque([765, 876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38])
deque([876, 719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987])
deque([719, 325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987])
deque([325, 770, 506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987])
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deque([506, 31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326])
deque([31, 284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326])
deque([284, 486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32])
deque([486, 120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285])
deque([120, 273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285])
deque([273, 704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121])
deque([704, 702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121])
deque([702, 402, 973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121])
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deque([973, 756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403])
deque([756, 268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974])
deque([268, 362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757])
deque([362, 658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757])
deque([658, 484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757])
deque([484, 886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659])
deque([886, 412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485])
deque([412, 446, 568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485])
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deque([568, 931, 157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413])
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deque([157, 996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569])
deque([996, 349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569])
deque([349, 510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997])
deque([510, 869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350])
deque([869, 910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350])
deque([910, 162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350])
deque([162, 279, 468, 74, 214, 691, 986, 306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911])
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deque([306, 100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75])
deque([100, 678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307])
deque([678, 40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307])
deque([40, 29, 668, 429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307])
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deque([429, 81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307])
deque([81, 249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307])
deque([249, 913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307])
deque([913, 364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307])
deque([364, 421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307])
deque([421, 84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365])
deque([84, 436, 356, 992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365])
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deque([992, 690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85])
deque([690, 340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993])
deque([340, 709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993])
deque([709, 438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341])
deque([438, 302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341])
deque([302, 666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439])
deque([666, 406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439])
deque([406, 738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667])
deque([738, 499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667])
deque([499, 137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739])
deque([137, 657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739])
deque([657, 774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739])
deque([774, 523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739])
deque([523, 202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739])
deque([202, 990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524])
deque([990, 197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203])
deque([197, 896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991])
deque([896, 489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991])
deque([489, 425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991])
deque([425, 119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991])
deque([119, 782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991])
deque([782, 427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991])
deque([427, 632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783])
deque([632, 231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428])
deque([231, 92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633])
deque([92, 366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633])
deque([366, 444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93])
deque([444, 832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367])
deque([832, 801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367])
deque([801, 595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367])
deque([595, 334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802])
deque([334, 134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802])
deque([134, 546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802])
deque([546, 114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802])
deque([114, 610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369])
deque([610, 631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115])
deque([631, 420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611])
deque([420, 60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611])
deque([60, 542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611])
deque([542, 730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611])
deque([730, 984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611])
deque([984, 915, 198, 125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731])
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deque([125, 891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731])
deque([891, 879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126])
deque([879, 906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126])
deque([906, 779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126])
deque([779, 672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126])
deque([672, 525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387])
deque([525, 388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840])
deque([388, 332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526])
deque([332, 47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526])
deque([47, 981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526])
deque([981, 195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526])
deque([195, 592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526])
deque([592, 530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196])
deque([530, 934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882])
deque([934, 90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882])
deque([90, 850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277])
deque([850, 494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91])
deque([494, 596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851])
deque([596, 846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495])
deque([846, 839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495])
deque([839, 654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372])
deque([654, 762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698])
deque([762, 949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698])
deque([949, 826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698])
deque([826, 962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950])
deque([962, 858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827])
deque([858, 607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963])
deque([607, 880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859])
deque([880, 573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859])
deque([573, 158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881])
deque([158, 895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881])
deque([895, 371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159])
deque([371, 608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159])
deque([608, 145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159])
deque([145, 409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159])
deque([409, 695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159])
deque([695, 942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410])
deque([942, 80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696])
deque([80, 540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943])
deque([540, 889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370])
deque([889, 871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541])
deque([871, 747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541])
deque([747, 96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872])
deque([96, 245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872])
deque([245, 337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872])
deque([337, 578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872])
deque([578, 951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872])
deque([951, 389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872])
deque([389, 924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952])
deque([924, 95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390])
deque([95, 361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925])
deque([361, 588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925])
deque([588, 472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925])
deque([472, 463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589])
deque([463, 727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589])
deque([727, 712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464])
deque([712, 292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464])
deque([292, 735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713])
deque([735, 13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293])
deque([13, 191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293])
deque([191, 339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715])
deque([339, 636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192])
deque([636, 508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812])
deque([508, 662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812])
deque([662, 520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812])
deque([520, 565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663])
deque([565, 395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663])
deque([395, 585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663])
deque([585, 345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663])
deque([345, 556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663])
deque([556, 434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663])
deque([434, 930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663])
deque([930, 289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435])
deque([289, 248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435])
deque([248, 684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435])
deque([684, 359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435])
deque([359, 834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685])
deque([834, 995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685])
deque([995, 117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835])
deque([117, 255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784])
deque([255, 99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784])
deque([99, 397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256])
deque([397, 877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256])
deque([877, 445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398])
deque([445, 232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398])
deque([232, 900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398])
deque([900, 19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398])
deque([19, 222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398])
deque([222, 73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20])
deque([73, 108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223])
deque([108, 862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223])
deque([862, 811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223])
deque([811, 271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223])
deque([271, 483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127])
deque([483, 230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272])
deque([230, 874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272])
deque([874, 501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272])
deque([501, 617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272])
deque([617, 242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272])
deque([242, 347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618])
deque([347, 180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618])
deque([180, 42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348])
deque([42, 630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181])
deque([630, 729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181])
deque([729, 178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181])
deque([178, 220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181])
deque([220, 789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181])
deque([789, 453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181])
deque([453, 513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181])
deque([513, 156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454])
deque([156, 819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912])
deque([819, 170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912])
deque([170, 419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912])
deque([419, 571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69])
deque([571, 153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479])
deque([153, 602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572])
deque([602, 579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572])
deque([579, 749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572])
deque([749, 725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572])
deque([725, 536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498])
deque([536, 522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498])
deque([522, 743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498])
deque([743, 641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342])
deque([641, 441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342])
deque([441, 597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342])
deque([597, 640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342])
deque([640, 753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342])
deque([753, 312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342])
deque([312, 393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164])
deque([393, 627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313])
deque([627, 172, 227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805])
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deque([227, 516, 820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628])
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deque([820, 282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228])
deque([282, 488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821])
deque([488, 612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283])
deque([612, 806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283])
deque([806, 303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613])
deque([303, 39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613])
deque([39, 707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304])
deque([707, 754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304])
deque([754, 775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304])
deque([775, 30, 865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304])
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deque([865, 67, 642, 518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776])
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deque([518, 384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68])
deque([384, 706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122])
deque([706, 110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122])
deque([110, 476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122])
deque([476, 241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111])
deque([241, 808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111])
deque([808, 149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111])
deque([149, 532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160])
deque([532, 680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160])
deque([680, 382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976])
deque([382, 76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976])
deque([76, 907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976])
deque([907, 755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976])
deque([755, 167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976])
deque([167, 714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976])
deque([714, 259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168])
deque([259, 793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168])
deque([793, 86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168])
deque([86, 363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168])
deque([363, 97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87])
deque([97, 697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87])
deque([697, 48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87])
deque([48, 210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87])
deque([210, 985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87])
deque([985, 404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87])
deque([404, 233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87])
deque([233, 580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87])
deque([580, 603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234])
deque([603, 286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581])
deque([286, 852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604])
deque([852, 863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287])
deque([863, 766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853])
deque([766, 988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864])
deque([988, 236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767])
deque([236, 509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767])
deque([509, 804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237])
deque([804, 586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237])
deque([586, 105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237])
deque([105, 461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237])
deque([461, 27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106])
deque([27, 677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478])
deque([677, 656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28])
deque([656, 567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28])
deque([567, 266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28])
deque([266, 401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28])
deque([401, 386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267])
deque([386, 276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267])
deque([276, 212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267])
deque([212, 331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660])
deque([331, 648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660])
deque([648, 790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660])
deque([790, 377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649])
deque([377, 346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791])
deque([346, 703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378])
deque([703, 424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378])
deque([424, 250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378])
deque([250, 38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378])
deque([38, 987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378])
deque([987, 326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378])
deque([326, 32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378])
deque([32, 285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378])
deque([285, 121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378])
deque([121, 403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378])
deque([403, 974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378])
deque([974, 757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378])
deque([757, 659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253])
deque([659, 485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253])
deque([485, 413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253])
deque([413, 569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253])
deque([569, 997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253])
deque([997, 350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253])
deque([350, 911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998])
deque([911, 163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351])
deque([163, 280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351])
deque([280, 469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440])
deque([469, 75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281])
deque([75, 307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281])
deque([307, 365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281])
deque([365, 85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281])
deque([85, 993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281])
deque([993, 341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281])
deque([341, 439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281])
deque([439, 667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281])
deque([667, 739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224])
deque([739, 524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224])
deque([524, 203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224])
deque([203, 991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224])
deque([991, 783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224])
deque([783, 428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224])
deque([428, 633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224])
deque([633, 93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224])
deque([93, 367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224])
deque([367, 802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94])
deque([802, 547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368])
deque([547, 369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699])
deque([369, 115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548])
deque([115, 611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548])
deque([611, 731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548])
deque([731, 126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548])
deque([126, 780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548])
deque([780, 165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548])
deque([165, 387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548])
deque([387, 673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166])
deque([673, 982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166])
deque([982, 840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674])
deque([840, 526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674])
deque([526, 196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841])
deque([196, 593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841])
deque([593, 882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841])
deque([882, 277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294])
deque([277, 91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883])
deque([91, 851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278])
deque([851, 495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278])
deque([495, 847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278])
deque([847, 49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411])
deque([49, 372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411])
deque([372, 698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411])
deque([698, 950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373])
deque([950, 827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373])
deque([827, 963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373])
deque([963, 859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373])
deque([859, 881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373])
deque([881, 159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860])
deque([159, 410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860])
deque([410, 696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860])
deque([696, 943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860])
deque([943, 370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860])
deque([370, 541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944])
deque([541, 872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944])
deque([872, 952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944])
deque([952, 390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944])
deque([390, 925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944])
deque([925, 589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944])
deque([589, 464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944])
deque([464, 713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590])
deque([713, 293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465])
deque([293, 14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465])
deque([14, 715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465])
deque([715, 192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465])
deque([192, 123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716])
deque([123, 812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193])
deque([812, 663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193])
deque([663, 435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193])
deque([435, 685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193])
deque([685, 835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193])
deque([835, 251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686])
deque([251, 975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686])
deque([975, 784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686])
deque([784, 256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686])
deque([256, 398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686])
deque([398, 20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([20, 223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([223, 43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([43, 127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([127, 272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([272, 618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([618, 348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([348, 181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([181, 454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([454, 912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([912, 69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([69, 479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([479, 572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([572, 498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([498, 605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([605, 342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([342, 164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([164, 313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([313, 477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([477, 36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([36, 805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([805, 628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([628, 228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([228, 821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([821, 283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([283, 613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([613, 304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([304, 776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([776, 68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([68, 122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([122, 111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([111, 809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([809, 33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([33, 160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([160, 976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([976, 168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([168, 87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([87, 234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([234, 581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([581, 604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([604, 287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([287, 853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([853, 864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([864, 767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([767, 237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([237, 106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([106, 327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([327, 252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([252, 926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([926, 478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([478, 28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([28, 267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([267, 619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([619, 455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([455, 376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([376, 854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([854, 786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([786, 785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([785, 964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([964, 379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([379, 620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([620, 660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([660, 649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([649, 791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([791, 378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([378, 470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([470, 700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([700, 399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([399, 842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([842, 953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([953, 983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([983, 253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([253, 998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([998, 351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([351, 440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([440, 281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([281, 224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([224, 94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([94, 368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([368, 699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([699, 548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([548, 166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([166, 674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([674, 841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([841, 294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([294, 883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([883, 278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([278, 496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([496, 45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([45, 50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([50, 411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([411, 373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([373, 860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([860, 944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([944, 590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([590, 465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([465, 716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([716, 193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([193, 686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([686, 257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([257, 44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([44, 235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([235, 717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([717, 768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([768, 374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([374, 861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([861, 999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
deque([999, 37, 112, 329, 787, 35, 466, 497, 843, 328, 606, 769, 314, 375, 258, 34])
15