deque([0])
deque([1])
deque([2])
deque([3, 576, 114, 280, 392, 841, 116, 231])
deque([576, 114, 280, 392, 841, 116, 231, 4, 291])
deque([114, 280, 392, 841, 116, 231, 4, 291, 577])
deque([280, 392, 841, 116, 231, 4, 291, 577, 115])
deque([392, 841, 116, 231, 4, 291, 577, 115, 281])
deque([841, 116, 231, 4, 291, 577, 115, 281, 393])
deque([116, 231, 4, 291, 577, 115, 281, 393, 842])
deque([231, 4, 291, 577, 115, 281, 393, 842, 117])
deque([4, 291, 577, 115, 281, 393, 842, 117, 232])
deque([291, 577, 115, 281, 393, 842, 117, 232, 5, 387])
deque([577, 115, 281, 393, 842, 117, 232, 5, 387, 292])
deque([115, 281, 393, 842, 117, 232, 5, 387, 292, 578])
deque([281, 393, 842, 117, 232, 5, 387, 292, 578, 941, 768, 712, 506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358])
deque([393, 842, 117, 232, 5, 387, 292, 578, 941, 768, 712, 506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282])
deque([842, 117, 232, 5, 387, 292, 578, 941, 768, 712, 506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394])
deque([117, 232, 5, 387, 292, 578, 941, 768, 712, 506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843])
deque([232, 5, 387, 292, 578, 941, 768, 712, 506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372])
deque([5, 387, 292, 578, 941, 768, 712, 506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233])
deque([387, 292, 578, 941, 768, 712, 506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252])
deque([292, 578, 941, 768, 712, 506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388])
deque([578, 941, 768, 712, 506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702])
deque([941, 768, 712, 506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579])
deque([768, 712, 506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942])
deque([712, 506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769])
deque([506, 990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713])
deque([990, 857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507])
deque([857, 193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991])
deque([193, 648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858])
deque([648, 156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194])
deque([156, 332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649])
deque([332, 428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157])
deque([428, 855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333])
deque([855, 996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429])
deque([996, 56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856])
deque([56, 559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997])
deque([559, 880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57])
deque([880, 358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560])
deque([358, 282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881])
deque([282, 394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359])
deque([394, 843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732])
deque([843, 118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395])
deque([118, 411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113])
deque([411, 372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496])
deque([372, 233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412])
deque([233, 6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373])
deque([6, 508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234])
deque([508, 252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796])
deque([252, 388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509])
deque([388, 293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253])
deque([293, 475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389])
deque([475, 185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294])
deque([185, 702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476])
deque([702, 579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186])
deque([579, 942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703])
deque([942, 769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523])
deque([769, 713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943])
deque([713, 507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770])
deque([507, 991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714])
deque([991, 858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714])
deque([858, 194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992])
deque([194, 649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859])
deque([649, 157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195])
deque([157, 333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650])
deque([333, 429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158])
deque([429, 856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235])
deque([856, 997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430])
deque([997, 57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430])
deque([57, 560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518])
deque([560, 881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948])
deque([881, 359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561])
deque([359, 283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882])
deque([283, 287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360])
deque([287, 734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422])
deque([734, 533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288])
deque([533, 874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735])
deque([874, 62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534])
deque([62, 563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875])
deque([563, 873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63])
deque([873, 869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564])
deque([869, 425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564])
deque([425, 261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870])
deque([261, 862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426])
deque([862, 353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262])
deque([353, 228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863])
deque([228, 967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354])
deque([967, 169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229])
deque([169, 844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968])
deque([844, 783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170])
deque([783, 93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845])
deque([93, 994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784])
deque([994, 527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94])
deque([527, 161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995])
deque([161, 16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528])
deque([16, 344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162])
deque([344, 777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17])
deque([777, 751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17])
deque([751, 666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778])
deque([666, 382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752])
deque([382, 732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667])
deque([732, 395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383])
deque([395, 636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733])
deque([636, 716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510])
deque([716, 345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637])
deque([345, 126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717])
deque([126, 513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346])
deque([513, 762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127])
deque([762, 811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514])
deque([811, 113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763])
deque([113, 119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812])
deque([119, 496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812])
deque([496, 412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242])
deque([412, 373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497])
deque([373, 234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413])
deque([234, 7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374])
deque([7, 896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379])
deque([896, 457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49])
deque([457, 796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897])
deque([796, 509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897, 458])
deque([509, 253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897, 458, 797])
deque([253, 389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897, 458, 797, 638, 584, 823, 107, 890, 206, 600, 204, 742, 922, 744, 535, 575, 608, 32, 529, 501, 698, 726, 642, 437, 628, 719, 727, 325, 830, 822, 677, 244, 441, 407, 323, 461, 83])
deque([389, 294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897, 458, 797, 638, 584, 823, 107, 890, 206, 600, 204, 742, 922, 744, 535, 575, 608, 32, 529, 501, 698, 726, 642, 437, 628, 719, 727, 325, 830, 822, 677, 244, 441, 407, 323, 461, 83, 254, 804])
deque([294, 476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897, 458, 797, 638, 584, 823, 107, 890, 206, 600, 204, 742, 922, 744, 535, 575, 608, 32, 529, 501, 698, 726, 642, 437, 628, 719, 727, 325, 830, 822, 677, 244, 441, 407, 323, 461, 83, 254, 804])
deque([476, 186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897, 458, 797, 638, 584, 823, 107, 890, 206, 600, 204, 742, 922, 744, 535, 575, 608, 32, 529, 501, 698, 726, 642, 437, 628, 719, 727, 325, 830, 822, 677, 244, 441, 407, 323, 461, 83, 254, 804, 295])
deque([186, 703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897, 458, 797, 638, 584, 823, 107, 890, 206, 600, 204, 742, 922, 744, 535, 575, 608, 32, 529, 501, 698, 726, 642, 437, 628, 719, 727, 325, 830, 822, 677, 244, 441, 407, 323, 461, 83, 254, 804, 295, 477])
deque([703, 580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897, 458, 797, 638, 584, 823, 107, 890, 206, 600, 204, 742, 922, 744, 535, 575, 608, 32, 529, 501, 698, 726, 642, 437, 628, 719, 727, 325, 830, 822, 677, 244, 441, 407, 323, 461, 83, 254, 804, 295, 477, 187, 745])
deque([580, 212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897, 458, 797, 638, 584, 823, 107, 890, 206, 600, 204, 742, 922, 744, 535, 575, 608, 32, 529, 501, 698, 726, 642, 437, 628, 719, 727, 325, 830, 822, 677, 244, 441, 407, 323, 461, 83, 254, 804, 295, 477, 187, 745, 704])
deque([212, 523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897, 458, 797, 638, 584, 823, 107, 890, 206, 600, 204, 742, 922, 744, 535, 575, 608, 32, 529, 501, 698, 726, 642, 437, 628, 719, 727, 325, 830, 822, 677, 244, 441, 407, 323, 461, 83, 254, 804, 295, 477, 187, 745, 704])
deque([523, 943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897, 458, 797, 638, 584, 823, 107, 890, 206, 600, 204, 742, 922, 744, 535, 575, 608, 32, 529, 501, 698, 726, 642, 437, 628, 719, 727, 325, 830, 822, 677, 244, 441, 407, 323, 461, 83, 254, 804, 295, 477, 187, 745, 704, 213])
deque([943, 770, 714, 992, 859, 195, 650, 158, 334, 235, 430, 998, 368, 917, 630, 442, 518, 58, 948, 561, 882, 360, 284, 683, 265, 722, 670, 196, 184, 934, 593, 189, 581, 311, 545, 422, 288, 735, 534, 875, 63, 564, 870, 426, 262, 863, 354, 229, 968, 170, 845, 784, 94, 995, 528, 162, 17, 778, 752, 667, 383, 733, 396, 483, 587, 494, 485, 510, 637, 717, 346, 127, 514, 763, 812, 120, 390, 488, 304, 242, 497, 413, 374, 44, 379, 8, 49, 897, 458, 797, 638, 584, 823, 107, 890, 206, 600, 204, 742, 922, 744, 535, 575, 608, 32, 529, 501, 698, 726, 642, 437, 628, 719, 727, 325, 830, 822, 677, 244, 441, 407, 323, 461, 83, 254, 804, 295, 477, 187, 745, 704, 213, 524])
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deque([423, 11, 79, 531, 369, 327, 850, 224, 913, 820, 223, 20, 658, 97, 316, 952, 808, 609, 465, 479, 21, 933, 427, 911, 731, 314, 526, 754, 691, 530, 92, 758, 153, 305, 246, 122, 397, 684, 247, 414, 366, 701, 916, 178, 543, 138, 955, 747, 380, 207, 147, 602, 755, 965, 142, 957, 239, 302, 610, 721, 37, 987, 211, 573, 450, 347, 902, 362, 306, 668, 152, 687, 645, 829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([11, 79, 531, 369, 327, 850, 224, 913, 820, 223, 20, 658, 97, 316, 952, 808, 609, 465, 479, 21, 933, 427, 911, 731, 314, 526, 754, 691, 530, 92, 758, 153, 305, 246, 122, 397, 684, 247, 414, 366, 701, 916, 178, 543, 138, 955, 747, 380, 207, 147, 602, 755, 965, 142, 957, 239, 302, 610, 721, 37, 987, 211, 573, 450, 347, 902, 362, 306, 668, 152, 687, 645, 829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([223, 20, 658, 97, 316, 952, 808, 609, 465, 479, 21, 933, 427, 911, 731, 314, 526, 754, 691, 530, 92, 758, 153, 305, 246, 122, 397, 684, 247, 414, 366, 701, 916, 178, 543, 138, 955, 747, 380, 207, 147, 602, 755, 965, 142, 957, 239, 302, 610, 721, 37, 987, 211, 573, 450, 347, 902, 362, 306, 668, 152, 687, 645, 829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([20, 658, 97, 316, 952, 808, 609, 465, 479, 21, 933, 427, 911, 731, 314, 526, 754, 691, 530, 92, 758, 153, 305, 246, 122, 397, 684, 247, 414, 366, 701, 916, 178, 543, 138, 955, 747, 380, 207, 147, 602, 755, 965, 142, 957, 239, 302, 610, 721, 37, 987, 211, 573, 450, 347, 902, 362, 306, 668, 152, 687, 645, 829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([933, 427, 911, 731, 314, 526, 754, 691, 530, 92, 758, 153, 305, 246, 122, 397, 684, 247, 414, 366, 701, 916, 178, 543, 138, 955, 747, 380, 207, 147, 602, 755, 965, 142, 957, 239, 302, 610, 721, 37, 987, 211, 573, 450, 347, 902, 362, 306, 668, 152, 687, 645, 829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([427, 911, 731, 314, 526, 754, 691, 530, 92, 758, 153, 305, 246, 122, 397, 684, 247, 414, 366, 701, 916, 178, 543, 138, 955, 747, 380, 207, 147, 602, 755, 965, 142, 957, 239, 302, 610, 721, 37, 987, 211, 573, 450, 347, 902, 362, 306, 668, 152, 687, 645, 829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([911, 731, 314, 526, 754, 691, 530, 92, 758, 153, 305, 246, 122, 397, 684, 247, 414, 366, 701, 916, 178, 543, 138, 955, 747, 380, 207, 147, 602, 755, 965, 142, 957, 239, 302, 610, 721, 37, 987, 211, 573, 450, 347, 902, 362, 306, 668, 152, 687, 645, 829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([610, 721, 37, 987, 211, 573, 450, 347, 902, 362, 306, 668, 152, 687, 645, 829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([668, 152, 687, 645, 829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([152, 687, 645, 829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([687, 645, 829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([645, 829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([829, 988, 487, 415, 690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([690, 860, 338, 835, 399, 883, 616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([616, 515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([515, 582, 492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([492, 903, 41, 919, 794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([794, 172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([172, 276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([276, 112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([112, 151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([151, 342, 646, 322, 417, 861, 596, 981, 31, 198, 803, 693, 705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([705, 774, 801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([801, 557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([557, 966, 676, 867, 618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([618, 779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([779, 33, 664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([664, 404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([404, 647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([647, 130, 785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([785, 301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([301, 760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([760, 604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([604, 52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([52, 183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([183, 471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([471, 871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([871, 446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([446, 190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([190, 121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([121, 108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([108, 562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([562, 611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([611, 455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([455, 889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([889, 846, 456, 757, 635, 729, 621, 643, 795, 180, 696, 34, 585, 558, 887, 872, 98, 177, 854, 14, 106, 219, 103, 590, 644, 641, 45, 816, 567, 753, 432, 695, 776, 926, 500, 685, 851, 663, 909, 160, 847, 402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([402, 978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([978, 718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([718, 364, 381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([381, 566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([566, 720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([720, 61, 64, 269, 728, 963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([963, 409, 958, 970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([970, 398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([398, 343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([343, 135, 928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([928, 629, 746, 983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([983, 89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([89, 520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([520, 624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([624, 331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([331, 329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([329, 208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([208, 876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([876, 946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([946, 286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([286, 76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([76, 405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([405, 852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([852, 505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([505, 964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([964, 357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([357, 74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([74, 678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([678, 750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([750, 993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([993, 912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([912, 150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([150, 84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([84, 827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([827, 694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([694, 81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([81, 595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([595, 401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([401, 489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([489, 319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([319, 222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([222, 888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([888, 956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([956, 256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([256, 588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([588, 539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([539, 969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([969, 337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([337, 651, 538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([538, 385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([385, 309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([309, 54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([54, 467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([467, 71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([71, 59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([59, 96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([96, 908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([908, 737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([737, 218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([218, 192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([192, 110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([110, 403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([403, 99, 80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([80, 100, 351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([351, 173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([173, 499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([499, 238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([238, 303, 444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
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deque([444, 516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([516, 901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([901, 740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([740, 761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([761, 202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([202, 419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([419, 29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([29, 633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([633, 741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([741, 72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([72, 352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([352, 652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([652, 109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([109, 551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([551, 46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([46, 317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([317, 891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([891, 111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([111, 989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([989, 451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([451, 787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([787, 877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([877, 466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([466, 299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([299, 274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([274, 205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([205, 605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([605, 974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([974, 849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([849, 473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([473, 139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([139, 884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([884, 243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([243, 453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([453, 954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([954, 250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([250, 436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([436, 743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([743, 522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([522, 277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([277, 653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([653, 973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([973, 255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([255, 240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([240, 463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([463, 834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([834, 556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([556, 512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([512, 203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([203, 48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([48, 330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([330, 447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([447, 226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([226, 574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([574, 939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([939, 793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([793, 285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([285, 168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([168, 486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([486, 640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([640, 400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([400, 519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([519, 146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([146, 975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([975, 133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([133, 125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([125, 900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([900, 598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([598, 615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([615, 798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([798, 692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([692, 810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([810, 421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([421, 536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([536, 547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([547, 681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([681, 764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([764, 408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([408, 435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([435, 866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([866, 540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([540, 315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([315, 144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([144, 689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([689, 164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([164, 553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([553, 313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([313, 188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([188, 24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([24, 75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([75, 671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([671, 932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([932, 271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([271, 706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([706, 493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([493, 498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([498, 105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([105, 749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([749, 675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([675, 821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([821, 478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([478, 807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([807, 931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([931, 631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([631, 469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([469, 772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([772, 799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([799, 680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([680, 78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([78, 128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([128, 817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([817, 221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([221, 591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([591, 174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([174, 365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([365, 200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([200, 341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([341, 140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([140, 899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([899, 980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([980, 786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([786, 464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([464, 606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([606, 69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([69, 320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([320, 780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([780, 248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([248, 800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([800, 149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([149, 950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([950, 738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([738, 448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([448, 688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([688, 339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([339, 55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([55, 594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([594, 86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([86, 318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([318, 723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([723, 565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([565, 833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([833, 619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([619, 73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([73, 910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([910, 503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([503, 470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([470, 892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([892, 361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([361, 544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([544, 474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([474, 937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([937, 554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([554, 324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([324, 730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([730, 216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([216, 715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([715, 340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([340, 961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([961, 959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([959, 290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([290, 583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([583, 886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([886, 775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([775, 905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([905, 10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([10, 999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
deque([999, 789, 101, 375, 230, 19, 258, 736, 199, 124, 30, 201, 245, 171, 482, 837, 504, 825, 376])
8