deque([0])
deque([1])
deque([2, 634, 153, 622, 31, 716, 928, 823, 480, 575, 373, 29, 355, 166, 260])
deque([634, 153, 622, 31, 716, 928, 823, 480, 575, 373, 29, 355, 166, 260, 3, 910, 782])
deque([153, 622, 31, 716, 928, 823, 480, 575, 373, 29, 355, 166, 260, 3, 910, 782, 635])
deque([622, 31, 716, 928, 823, 480, 575, 373, 29, 355, 166, 260, 3, 910, 782, 635, 154])
deque([31, 716, 928, 823, 480, 575, 373, 29, 355, 166, 260, 3, 910, 782, 635, 154, 623])
deque([716, 928, 823, 480, 575, 373, 29, 355, 166, 260, 3, 910, 782, 635, 154, 623, 32])
deque([928, 823, 480, 575, 373, 29, 355, 166, 260, 3, 910, 782, 635, 154, 623, 32, 717])
deque([823, 480, 575, 373, 29, 355, 166, 260, 3, 910, 782, 635, 154, 623, 32, 717, 929])
deque([480, 575, 373, 29, 355, 166, 260, 3, 910, 782, 635, 154, 623, 32, 717, 929, 824])
deque([575, 373, 29, 355, 166, 260, 3, 910, 782, 635, 154, 623, 32, 717, 929, 824, 481])
deque([373, 29, 355, 166, 260, 3, 910, 782, 635, 154, 623, 32, 717, 929, 824, 481, 576])
deque([29, 355, 166, 260, 3, 910, 782, 635, 154, 623, 32, 717, 929, 824, 481, 576, 374])
deque([355, 166, 260, 3, 910, 782, 635, 154, 623, 32, 717, 929, 824, 481, 576, 374, 30])
deque([166, 260, 3, 910, 782, 635, 154, 623, 32, 717, 929, 824, 481, 576, 374, 30, 356])
deque([260, 3, 910, 782, 635, 154, 623, 32, 717, 929, 824, 481, 576, 374, 30, 356, 167])
deque([3, 910, 782, 635, 154, 623, 32, 717, 929, 824, 481, 576, 374, 30, 356, 167, 261])
deque([910, 782, 635, 154, 623, 32, 717, 929, 824, 481, 576, 374, 30, 356, 167, 261, 4, 613, 409, 791, 748, 983])
deque([782, 635, 154, 623, 32, 717, 929, 824, 481, 576, 374, 30, 356, 167, 261, 4, 613, 409, 791, 748, 983, 911])
deque([635, 154, 623, 32, 717, 929, 824, 481, 576, 374, 30, 356, 167, 261, 4, 613, 409, 791, 748, 983, 911, 783])
deque([154, 623, 32, 717, 929, 824, 481, 576, 374, 30, 356, 167, 261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277])
deque([623, 32, 717, 929, 824, 481, 576, 374, 30, 356, 167, 261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378])
deque([32, 717, 929, 824, 481, 576, 374, 30, 356, 167, 261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624])
deque([717, 929, 824, 481, 576, 374, 30, 356, 167, 261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445])
deque([929, 824, 481, 576, 374, 30, 356, 167, 261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612])
deque([824, 481, 576, 374, 30, 356, 167, 261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930])
deque([481, 576, 374, 30, 356, 167, 261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825])
deque([576, 374, 30, 356, 167, 261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482])
deque([374, 30, 356, 167, 261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577])
deque([30, 356, 167, 261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375])
deque([356, 167, 261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785])
deque([167, 261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357])
deque([261, 4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579])
deque([4, 613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614])
deque([613, 409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5])
deque([409, 791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5])
deque([791, 748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410])
deque([748, 983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792])
deque([983, 911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749])
deque([911, 783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984])
deque([783, 636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21])
deque([636, 182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601])
deque([182, 522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637])
deque([522, 197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183])
deque([197, 204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523])
deque([204, 420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198])
deque([420, 279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205])
deque([279, 277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421])
deque([277, 155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280])
deque([155, 753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278])
deque([753, 139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815])
deque([139, 737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815])
deque([737, 378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140])
deque([378, 624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738])
deque([624, 33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379])
deque([33, 445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487])
deque([445, 718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34])
deque([718, 612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446])
deque([612, 930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719])
deque([930, 825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719])
deque([825, 482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399])
deque([482, 577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39])
deque([577, 375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39])
deque([375, 862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70])
deque([862, 179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376])
deque([179, 83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863])
deque([83, 138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863])
deque([138, 468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84])
deque([468, 85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84])
deque([85, 319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469])
deque([319, 397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86])
deque([397, 759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320])
deque([759, 211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398])
deque([211, 817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760])
deque([817, 785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212])
deque([785, 357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818])
deque([357, 168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786])
deque([168, 483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874])
deque([483, 579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988])
deque([579, 262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484])
deque([262, 304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580])
deque([304, 927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263])
deque([927, 599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305])
deque([599, 196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305])
deque([196, 870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305])
deque([870, 821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305])
deque([821, 648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871])
deque([648, 614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822])
deque([614, 5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649])
deque([5, 410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615])
deque([410, 792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344])
deque([792, 749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411])
deque([749, 984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793])
deque([984, 912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750])
deque([912, 21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455])
deque([21, 784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913])
deque([784, 722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22])
deque([722, 754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22])
deque([754, 844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723])
deque([844, 601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755])
deque([601, 637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845])
deque([637, 183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602])
deque([183, 523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638])
deque([523, 198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158])
deque([198, 205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524])
deque([205, 421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199])
deque([421, 280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206])
deque([280, 278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264])
deque([278, 156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219])
deque([156, 815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996])
deque([815, 140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157])
deque([140, 738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816])
deque([738, 379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24])
deque([379, 625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739])
deque([625, 641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380])
deque([641, 998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626])
deque([998, 300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642])
deque([300, 92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999])
deque([92, 362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301])
deque([362, 274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93])
deque([274, 989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363])
deque([989, 6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275])
deque([6, 965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990])
deque([965, 600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7])
deque([600, 876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966])
deque([876, 991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966])
deque([991, 444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877])
deque([444, 764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992])
deque([764, 814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992])
deque([814, 798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765])
deque([798, 676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765])
deque([676, 458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799])
deque([458, 997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677])
deque([997, 439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459])
deque([439, 598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459])
deque([598, 12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440])
deque([12, 532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440])
deque([532, 639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13])
deque([639, 535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533])
deque([535, 627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640])
deque([627, 757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536])
deque([757, 180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628])
deque([180, 359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758])
deque([359, 511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181])
deque([511, 855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360])
deque([855, 945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512])
deque([945, 674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512])
deque([674, 298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946])
deque([298, 110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675])
deque([110, 604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299])
deque([604, 682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111])
deque([682, 265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605])
deque([265, 408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683])
deque([408, 36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266])
deque([36, 76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266])
deque([76, 487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37])
deque([487, 34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77])
deque([34, 446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488])
deque([446, 719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895])
deque([719, 931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447])
deque([931, 451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720])
deque([451, 399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932])
deque([399, 826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452])
deque([826, 427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400])
deque([427, 887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827])
deque([887, 689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428])
deque([689, 23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888])
deque([23, 770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690])
deque([770, 531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690])
deque([531, 39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771])
deque([39, 578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771])
deque([578, 272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771, 40])
deque([272, 81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771, 40, 273])
deque([81, 974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771, 40, 273])
deque([974, 385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771, 40, 273, 82])
deque([385, 343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771, 40, 273, 82, 975])
deque([343, 517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771, 40, 273, 82, 975, 386])
deque([517, 70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771, 40, 273, 82, 975, 386])
deque([70, 376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771, 40, 273, 82, 975, 386, 518])
deque([376, 863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771, 40, 273, 82, 975, 386, 518, 71])
deque([863, 84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771, 40, 273, 82, 975, 386, 518, 71, 377])
deque([84, 469, 86, 320, 398, 760, 212, 818, 786, 358, 326, 335, 25, 874, 169, 471, 988, 484, 580, 263, 305, 871, 822, 649, 615, 534, 344, 411, 793, 750, 985, 948, 789, 119, 330, 49, 349, 455, 913, 22, 723, 755, 845, 602, 638, 184, 158, 524, 199, 206, 422, 264, 281, 219, 996, 157, 816, 141, 462, 741, 856, 570, 24, 739, 380, 626, 642, 999, 301, 93, 363, 275, 990, 7, 966, 877, 992, 765, 799, 677, 459, 440, 13, 533, 640, 536, 628, 758, 181, 360, 512, 946, 675, 299, 111, 605, 683, 266, 37, 77, 488, 35, 125, 18, 146, 203, 895, 447, 720, 932, 452, 400, 827, 428, 888, 690, 771, 40, 273, 82, 975, 386, 518, 71, 377, 864])
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6