deque([0])
deque([1])
deque([2])
deque([3])
deque([4])
deque([5, 466, 663, 968, 102, 694, 445, 14, 826, 350, 492, 865])
deque([466, 663, 968, 102, 694, 445, 14, 826, 350, 492, 865, 6])
deque([663, 968, 102, 694, 445, 14, 826, 350, 492, 865, 6, 467])
deque([968, 102, 694, 445, 14, 826, 350, 492, 865, 6, 467, 664])
deque([102, 694, 445, 14, 826, 350, 492, 865, 6, 467, 664, 969])
deque([694, 445, 14, 826, 350, 492, 865, 6, 467, 664, 969, 103])
deque([445, 14, 826, 350, 492, 865, 6, 467, 664, 969, 103, 695])
deque([14, 826, 350, 492, 865, 6, 467, 664, 969, 103, 695, 446])
deque([826, 350, 492, 865, 6, 467, 664, 969, 103, 695, 446, 15])
deque([350, 492, 865, 6, 467, 664, 969, 103, 695, 446, 15, 827])
deque([492, 865, 6, 467, 664, 969, 103, 695, 446, 15, 827, 351])
deque([865, 6, 467, 664, 969, 103, 695, 446, 15, 827, 351, 493])
deque([6, 467, 664, 969, 103, 695, 446, 15, 827, 351, 493, 866])
deque([467, 664, 969, 103, 695, 446, 15, 827, 351, 493, 866, 7])
deque([664, 969, 103, 695, 446, 15, 827, 351, 493, 866, 7, 468])
deque([969, 103, 695, 446, 15, 827, 351, 493, 866, 7, 468, 665, 939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495])
deque([103, 695, 446, 15, 827, 351, 493, 866, 7, 468, 665, 939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970])
deque([695, 446, 15, 827, 351, 493, 866, 7, 468, 665, 939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72])
deque([446, 15, 827, 351, 493, 866, 7, 468, 665, 939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696])
deque([15, 827, 351, 493, 866, 7, 468, 665, 939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447])
deque([827, 351, 493, 866, 7, 468, 665, 939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712])
deque([351, 493, 866, 7, 468, 665, 939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828])
deque([493, 866, 7, 468, 665, 939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284])
deque([866, 7, 468, 665, 939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494])
deque([7, 468, 665, 939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867])
deque([468, 665, 939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8])
deque([665, 939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469])
deque([939, 433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666])
deque([433, 20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940])
deque([20, 245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434])
deque([245, 382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21])
deque([382, 756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21])
deque([756, 231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383])
deque([231, 941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757])
deque([941, 435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232])
deque([435, 281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942])
deque([281, 309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436])
deque([309, 507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282])
deque([507, 652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310])
deque([652, 670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508])
deque([670, 495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653])
deque([495, 970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671])
deque([970, 104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496])
deque([104, 929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971])
deque([929, 197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105])
deque([197, 552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930])
deque([552, 139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198])
deque([139, 589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553])
deque([589, 322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140])
deque([322, 576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590])
deque([576, 636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323])
deque([636, 195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577])
deque([195, 526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637])
deque([526, 808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196])
deque([808, 668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527])
deque([668, 921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809])
deque([921, 318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669])
deque([318, 868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922])
deque([868, 689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319])
deque([689, 261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869])
deque([261, 188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690])
deque([188, 887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262])
deque([887, 860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189])
deque([860, 561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888])
deque([561, 440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861])
deque([440, 654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562])
deque([654, 891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441])
deque([891, 60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655])
deque([60, 341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892])
deque([341, 62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61])
deque([62, 86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342])
deque([86, 321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342])
deque([321, 53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87])
deque([53, 172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87])
deque([172, 812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87])
deque([812, 460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173])
deque([460, 873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813])
deque([873, 246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813])
deque([246, 191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874])
deque([191, 311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247])
deque([311, 611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192])
deque([611, 145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312])
deque([145, 64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612])
deque([64, 682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146])
deque([682, 78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65])
deque([78, 167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683])
deque([167, 542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79])
deque([542, 360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168])
deque([360, 63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543])
deque([63, 742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361])
deque([742, 297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361])
deque([297, 987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743])
deque([987, 506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298])
deque([506, 796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988])
deque([796, 54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988])
deque([54, 217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797])
deque([217, 118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55])
deque([118, 416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218])
deque([416, 831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119])
deque([831, 575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417])
deque([575, 461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832])
deque([461, 819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832])
deque([819, 486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462])
deque([486, 514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820])
deque([514, 943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487])
deque([943, 642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515])
deque([642, 242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944])
deque([242, 225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643])
deque([225, 710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243])
deque([710, 662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226])
deque([662, 12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711])
deque([12, 106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711])
deque([106, 253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13])
deque([253, 72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107])
deque([72, 696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254])
deque([696, 447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73])
deque([447, 16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525])
deque([16, 712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448])
deque([712, 828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17])
deque([828, 352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713])
deque([352, 284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829])
deque([284, 494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364])
deque([494, 867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285])
deque([867, 8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285])
deque([8, 469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294])
deque([469, 666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9])
deque([666, 940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395])
deque([940, 434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667])
deque([434, 21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183])
deque([21, 383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194])
deque([383, 757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194, 22])
deque([757, 232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194, 22, 384])
deque([232, 942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194, 22, 384, 758, 749, 563, 698])
deque([942, 436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194, 22, 384, 758, 749, 563, 698, 233, 536])
deque([436, 282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194, 22, 384, 758, 749, 563, 698, 233, 536, 151])
deque([282, 310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194, 22, 384, 758, 749, 563, 698, 233, 536, 151, 437, 481])
deque([310, 508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194, 22, 384, 758, 749, 563, 698, 233, 536, 151, 437, 481, 283])
deque([508, 653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194, 22, 384, 758, 749, 563, 698, 233, 536, 151, 437, 481, 283])
deque([653, 671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194, 22, 384, 758, 749, 563, 698, 233, 536, 151, 437, 481, 283, 509, 273])
deque([671, 496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194, 22, 384, 758, 749, 563, 698, 233, 536, 151, 437, 481, 283, 509, 273])
deque([496, 971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194, 22, 384, 758, 749, 563, 698, 233, 536, 151, 437, 481, 283, 509, 273, 672])
deque([971, 105, 930, 198, 553, 140, 590, 323, 577, 637, 196, 527, 809, 669, 922, 319, 869, 690, 262, 189, 888, 861, 562, 441, 655, 892, 61, 342, 87, 173, 813, 874, 247, 192, 312, 612, 146, 65, 683, 79, 168, 543, 361, 743, 298, 988, 797, 55, 218, 119, 417, 832, 462, 820, 487, 515, 944, 643, 243, 226, 711, 13, 107, 254, 73, 697, 571, 525, 448, 17, 713, 829, 353, 364, 285, 366, 974, 294, 9, 470, 912, 357, 395, 667, 183, 591, 32, 194, 22, 384, 758, 749, 563, 698, 233, 536, 151, 437, 481, 283, 509, 273, 672, 497, 46, 424, 565, 111, 895])
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9