deque([0])
deque([1, 858, 506, 469])
deque([858, 506, 469, 2])
deque([506, 469, 2, 859])
deque([469, 2, 859, 507])
deque([2, 859, 507, 470])
deque([859, 507, 470, 3, 450, 509, 18, 403, 113, 988, 10, 98, 619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526])
deque([507, 470, 3, 450, 509, 18, 403, 113, 988, 10, 98, 619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860])
deque([470, 3, 450, 509, 18, 403, 113, 988, 10, 98, 619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915])
deque([3, 450, 509, 18, 403, 113, 988, 10, 98, 619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471])
deque([450, 509, 18, 403, 113, 988, 10, 98, 619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4])
deque([509, 18, 403, 113, 988, 10, 98, 619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451])
deque([18, 403, 113, 988, 10, 98, 619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510])
deque([403, 113, 988, 10, 98, 619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19])
deque([113, 988, 10, 98, 619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404])
deque([988, 10, 98, 619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114])
deque([10, 98, 619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114])
deque([98, 619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11])
deque([619, 129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99])
deque([129, 932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620])
deque([932, 449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130])
deque([449, 523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933])
deque([523, 103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933])
deque([103, 252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524])
deque([252, 697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104])
deque([697, 83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253])
deque([83, 513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698])
deque([513, 989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84])
deque([989, 863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514])
deque([863, 740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990])
deque([740, 464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864])
deque([464, 642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741])
deque([642, 187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465])
deque([187, 421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643])
deque([421, 772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188])
deque([772, 609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422])
deque([609, 820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773])
deque([820, 214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610])
deque([214, 669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821])
deque([669, 721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215])
deque([721, 838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670])
deque([838, 973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722])
deque([973, 550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839])
deque([550, 461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974])
deque([461, 85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551])
deque([85, 96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462])
deque([96, 526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86])
deque([526, 860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97])
deque([860, 508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527])
deque([508, 796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861])
deque([796, 915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861])
deque([915, 471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861, 797])
deque([471, 4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861, 797, 916])
deque([4, 451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861, 797, 916, 472, 738, 903, 899, 940, 378, 60, 300, 498, 943])
deque([451, 510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861, 797, 916, 472, 738, 903, 899, 940, 378, 60, 300, 498, 943, 5])
deque([510, 19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861, 797, 916, 472, 738, 903, 899, 940, 378, 60, 300, 498, 943, 5, 452, 652])
deque([19, 404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861, 797, 916, 472, 738, 903, 899, 940, 378, 60, 300, 498, 943, 5, 452, 652, 511, 476, 101])
deque([404, 114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861, 797, 916, 472, 738, 903, 899, 940, 378, 60, 300, 498, 943, 5, 452, 652, 511, 476, 101, 20, 975, 774, 661, 924, 255, 49, 36])
deque([114, 11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861, 797, 916, 472, 738, 903, 899, 940, 378, 60, 300, 498, 943, 5, 452, 652, 511, 476, 101, 20, 975, 774, 661, 924, 255, 49, 36, 405])
deque([11, 99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861, 797, 916, 472, 738, 903, 899, 940, 378, 60, 300, 498, 943, 5, 452, 652, 511, 476, 101, 20, 975, 774, 661, 924, 255, 49, 36, 405, 115])
deque([99, 620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861, 797, 916, 472, 738, 903, 899, 940, 378, 60, 300, 498, 943, 5, 452, 652, 511, 476, 101, 20, 975, 774, 661, 924, 255, 49, 36, 405, 115, 12])
deque([620, 130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861, 797, 916, 472, 738, 903, 899, 940, 378, 60, 300, 498, 943, 5, 452, 652, 511, 476, 101, 20, 975, 774, 661, 924, 255, 49, 36, 405, 115, 12, 100])
deque([130, 933, 524, 104, 253, 698, 84, 514, 990, 864, 741, 465, 643, 188, 422, 773, 610, 821, 215, 670, 722, 839, 974, 551, 462, 86, 97, 527, 861, 797, 916, 472, 738, 903, 899, 940, 378, 60, 300, 498, 943, 5, 452, 652, 511, 476, 101, 20, 975, 774, 661, 924, 255, 49, 36, 405, 115, 12, 100, 621, 436, 733])
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deque([984, 749, 761, 662, 677, 613, 788, 951, 250, 62, 734, 126, 930, 790, 87, 595, 274, 458, 683, 444, 479, 78, 329, 335, 296, 236, 121, 488, 960, 387, 363, 520, 892, 459, 27, 318, 485, 562, 765, 972, 789, 572, 935, 981, 448, 992, 659, 307, 874, 192, 365, 92, 898, 879, 216, 614, 263, 224, 160, 432, 221, 867, 823, 304, 909, 25, 533, 688, 248, 911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([572, 935, 981, 448, 992, 659, 307, 874, 192, 365, 92, 898, 879, 216, 614, 263, 224, 160, 432, 221, 867, 823, 304, 909, 25, 533, 688, 248, 911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([935, 981, 448, 992, 659, 307, 874, 192, 365, 92, 898, 879, 216, 614, 263, 224, 160, 432, 221, 867, 823, 304, 909, 25, 533, 688, 248, 911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([981, 448, 992, 659, 307, 874, 192, 365, 92, 898, 879, 216, 614, 263, 224, 160, 432, 221, 867, 823, 304, 909, 25, 533, 688, 248, 911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([216, 614, 263, 224, 160, 432, 221, 867, 823, 304, 909, 25, 533, 688, 248, 911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([614, 263, 224, 160, 432, 221, 867, 823, 304, 909, 25, 533, 688, 248, 911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([263, 224, 160, 432, 221, 867, 823, 304, 909, 25, 533, 688, 248, 911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([224, 160, 432, 221, 867, 823, 304, 909, 25, 533, 688, 248, 911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([867, 823, 304, 909, 25, 533, 688, 248, 911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([823, 304, 909, 25, 533, 688, 248, 911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([688, 248, 911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([248, 911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([911, 373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([373, 310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([310, 212, 163, 692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([692, 37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([37, 810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([810, 377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([377, 987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([987, 88, 564, 900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([900, 873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([873, 13, 969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([969, 112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([112, 316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([316, 702, 198, 133, 559, 906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([906, 260, 666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([666, 770, 266, 682, 955, 132, 490, 755, 842, 367, 492, 589, 522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([522, 24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([24, 326, 895, 226, 617, 646, 153, 793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([793, 351, 179, 6, 946, 45, 912, 534, 653, 219, 233, 599, 345, 157, 298, 712, 70, 65, 850, 882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([882, 71, 570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([570, 577, 231, 869, 119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
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deque([119, 124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([124, 999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
deque([999, 582, 51, 380, 16, 26, 579, 396, 228, 878, 38, 159, 986, 53, 82, 308, 827, 754, 893, 477, 920, 21, 23, 148, 139, 467, 225, 483, 787, 518, 785, 447, 876, 503, 295, 800, 719, 985, 128, 375, 423, 901, 394, 142, 239, 384, 493, 875, 14, 229, 162, 456, 535, 633, 502, 117, 949, 420, 997, 141, 370, 567, 453, 262, 871, 291, 200, 762, 714, 177, 154, 758, 732, 963, 718, 155, 798, 625, 205, 360, 254, 890, 806, 278, 281, 726, 671, 923, 771, 766, 971, 635, 183, 831, 856, 730, 711, 390, 729, 640, 855, 354, 40, 500, 301, 802, 998, 366, 954, 140, 273, 414, 429, 600, 431, 419, 412, 7, 601, 968, 195, 759, 767, 352, 845, 17, 491, 748, 605, 552, 235, 905, 369, 180, 553, 321, 593, 588, 735, 320, 654, 938, 428, 388, 836, 586, 122, 673, 816, 30, 966, 805, 391, 230, 359, 594, 222, 505, 206, 519, 657, 33, 757, 127, 77, 849, 317, 889, 736, 706, 977, 623, 837, 750, 983, 663, 904, 161, 362, 961, 693, 270, 398, 80, 181, 217, 680, 528, 690, 604, 178, 81, 791, 902, 495, 801, 626, 349, 474, 415, 596, 372, 401, 631, 9, 442, 94, 886, 237, 665, 624, 686, 829, 747, 473, 634, 578, 608, 622, 382, 223, 357, 102, 728, 168, 720, 286, 135, 607, 249, 565, 284, 678, 545, 364, 543, 272, 870, 297, 687, 486, 50, 598, 152, 542, 959, 246, 967, 496, 812, 209, 358, 710, 689, 656, 31, 862, 928, 118, 311, 811, 347, 90, 164, 851, 618, 516, 632, 756, 275, 558, 305, 232, 267, 344, 744, 312, 880, 541, 537, 854, 202, 455, 402, 290, 271, 894])
5