deque([0])
deque([1])
deque([2, 479])
deque([479, 3, 905, 305, 422, 315, 503, 73, 941, 895, 190, 376, 899, 573, 136, 277])
deque([3, 905, 305, 422, 315, 503, 73, 941, 895, 190, 376, 899, 573, 136, 277, 480])
deque([905, 305, 422, 315, 503, 73, 941, 895, 190, 376, 899, 573, 136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367])
deque([305, 422, 315, 503, 73, 941, 895, 190, 376, 899, 573, 136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906])
deque([422, 315, 503, 73, 941, 895, 190, 376, 899, 573, 136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306])
deque([315, 503, 73, 941, 895, 190, 376, 899, 573, 136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423])
deque([503, 73, 941, 895, 190, 376, 899, 573, 136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316])
deque([73, 941, 895, 190, 376, 899, 573, 136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504])
deque([941, 895, 190, 376, 899, 573, 136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74])
deque([895, 190, 376, 899, 573, 136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942])
deque([190, 376, 899, 573, 136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896])
deque([376, 899, 573, 136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191])
deque([899, 573, 136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377])
deque([573, 136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377])
deque([136, 277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574])
deque([277, 480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137])
deque([480, 4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278])
deque([4, 168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151])
deque([168, 253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97])
deque([253, 521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169])
deque([521, 698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254])
deque([698, 126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522])
deque([126, 969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699])
deque([969, 471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127])
deque([471, 900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970])
deque([900, 697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472])
deque([697, 903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901])
deque([903, 964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901])
deque([964, 518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904])
deque([518, 419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965])
deque([419, 690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519])
deque([690, 289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420])
deque([289, 553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691])
deque([553, 387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290])
deque([387, 25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554])
deque([25, 550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388])
deque([550, 11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26])
deque([11, 694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551])
deque([694, 667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12])
deque([667, 761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695])
deque([761, 367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668])
deque([367, 906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762])
deque([906, 306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368])
deque([306, 423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907])
deque([423, 316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122])
deque([316, 504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7])
deque([504, 74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317])
deque([74, 942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633])
deque([942, 896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75])
deque([896, 191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943])
deque([191, 377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897])
deque([377, 574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538])
deque([574, 137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787])
deque([137, 278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297])
deque([278, 481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138])
deque([481, 296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710])
deque([296, 106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60])
deque([106, 224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60])
deque([224, 841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107])
deque([841, 818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225])
deque([818, 151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842])
deque([151, 5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819])
deque([5, 953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152])
deque([953, 97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614])
deque([97, 169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954])
deque([169, 254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98])
deque([254, 522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648])
deque([522, 699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877])
deque([699, 127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523])
deque([127, 970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163])
deque([970, 472, 901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163])
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deque([901, 904, 965, 519, 420, 691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571])
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deque([691, 290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703])
deque([290, 554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692])
deque([554, 388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291])
deque([388, 26, 551, 12, 695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555])
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deque([695, 668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13])
deque([668, 762, 368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936])
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deque([368, 907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763])
deque([907, 307, 122, 424, 7, 317, 505, 283, 633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308])
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deque([633, 75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284])
deque([75, 943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634])
deque([943, 897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76])
deque([897, 192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944])
deque([192, 643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898])
deque([643, 482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494])
deque([482, 794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644])
deque([794, 538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483])
deque([538, 378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795])
deque([378, 407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539])
deque([407, 828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825])
deque([828, 549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408])
deque([549, 787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829])
deque([787, 575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829])
deque([575, 156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788])
deque([156, 297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300])
deque([297, 138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157])
deque([138, 279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298])
deque([279, 464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139])
deque([464, 917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400])
deque([917, 710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465])
deque([710, 653, 60, 107, 225, 842, 819, 152, 6, 729, 72, 544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918])
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deque([544, 864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58])
deque([864, 333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545])
deque([333, 456, 920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865])
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deque([920, 401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457])
deque([401, 70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921])
deque([70, 27, 428, 380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402])
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deque([380, 69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429])
deque([69, 543, 882, 527, 955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381])
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deque([955, 128, 110, 269, 155, 562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528])
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deque([562, 614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270])
deque([614, 954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563])
deque([954, 98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563])
deque([98, 170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812])
deque([170, 318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199])
deque([318, 648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171])
deque([648, 255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319])
deque([255, 431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649])
deque([431, 517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256])
deque([517, 54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432])
deque([54, 693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432])
deque([693, 877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55])
deque([877, 523, 700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55])
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deque([700, 535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808])
deque([535, 111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257])
deque([111, 599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536])
deque([599, 330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112])
deque([330, 343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600])
deque([343, 163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331])
deque([163, 971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344])
deque([971, 858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164])
deque([858, 320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972])
deque([320, 730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859])
deque([730, 473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321])
deque([473, 696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731])
deque([696, 363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474])
deque([363, 957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474])
deque([957, 571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364])
deque([571, 902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958])
deque([902, 636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572])
deque([636, 240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572])
deque([240, 966, 520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637])
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deque([520, 421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967])
deque([421, 174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967])
deque([174, 533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967])
deque([533, 299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175])
deque([299, 879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534])
deque([879, 41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534])
deque([41, 370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880])
deque([370, 119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42])
deque([119, 703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371])
deque([703, 692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120])
deque([692, 291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704])
deque([291, 555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704])
deque([555, 389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704])
deque([389, 891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272])
deque([891, 386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491])
deque([386, 933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892])
deque([933, 608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892])
deque([608, 552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934])
deque([552, 13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609])
deque([13, 936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609])
deque([936, 669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14])
deque([669, 763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937])
deque([763, 369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511])
deque([369, 736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764])
deque([736, 843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764])
deque([843, 495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737])
deque([495, 308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844])
deque([308, 908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496])
deque([908, 123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309])
deque([123, 425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909])
deque([425, 94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47])
deque([94, 100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978])
deque([100, 241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978])
deque([241, 8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101])
deque([8, 506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242])
deque([506, 262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9])
deque([262, 245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507])
deque([245, 845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263])
deque([845, 53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246])
deque([53, 442, 987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846])
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deque([987, 65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443])
deque([65, 261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988])
deque([261, 448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66])
deque([448, 567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66])
deque([567, 222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449])
deque([222, 284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568])
deque([284, 634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223])
deque([634, 76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285])
deque([76, 944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679])
deque([944, 898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125])
deque([898, 193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945])
deque([193, 494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945])
deque([494, 644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194])
deque([644, 483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194])
deque([483, 795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453])
deque([795, 539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993])
deque([539, 379, 458, 825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121])
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deque([825, 408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459])
deque([408, 829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459])
deque([829, 788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409])
deque([788, 576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830])
deque([576, 238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789])
deque([238, 780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577])
deque([780, 628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239])
deque([628, 40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781])
deque([40, 615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629])
deque([615, 232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629])
deque([232, 867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616])
deque([867, 46, 300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233])
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deque([300, 157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868])
deque([157, 298, 139, 280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868])
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deque([280, 150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271])
deque([150, 782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59])
deque([782, 418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59])
deque([418, 744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783])
deque([744, 39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783])
deque([39, 400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745])
deque([400, 465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745])
deque([465, 918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745])
deque([918, 711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466])
deque([711, 654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919])
deque([654, 61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712])
deque([61, 108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598])
deque([108, 226, 820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62])
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deque([820, 153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227])
deque([153, 772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821])
deque([772, 681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154])
deque([681, 360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773])
deque([360, 95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682])
deque([95, 826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361])
deque([826, 989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96])
deque([989, 58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827])
deque([58, 545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990])
deque([545, 865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990])
deque([865, 334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947])
deque([334, 457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866])
deque([457, 921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335])
deque([921, 402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994])
deque([402, 71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22])
deque([71, 28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620])
deque([28, 429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620])
deque([429, 381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620])
deque([381, 883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430])
deque([883, 528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382])
deque([528, 956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884])
deque([956, 129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529])
deque([129, 270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673])
deque([270, 563, 292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130])
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deque([292, 812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591])
deque([812, 99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293])
deque([99, 199, 171, 319, 649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813])
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deque([649, 256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172])
deque([256, 432, 55, 878, 524, 414, 808, 701, 303, 590, 622, 257, 536, 112, 600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650])
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deque([600, 331, 344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113])
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deque([344, 164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264])
deque([164, 972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264])
deque([972, 859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19])
deque([859, 321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19])
deque([321, 731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19])
deque([731, 474, 364, 958, 572, 637, 967, 175, 534, 880, 42, 371, 120, 704, 556, 631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374])
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deque([631, 135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49])
deque([135, 272, 390, 491, 892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632])
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deque([892, 934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492])
deque([934, 609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492])
deque([609, 14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935])
deque([14, 937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610])
deque([937, 670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15])
deque([670, 511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938])
deque([511, 764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938])
deque([764, 737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512])
deque([737, 844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765])
deque([844, 496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765])
deque([496, 309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894])
deque([309, 909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497])
deque([909, 124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746])
deque([124, 56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910])
deque([56, 166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910])
deque([166, 640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57])
deque([640, 314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167])
deque([314, 325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641])
deque([325, 219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641])
deque([219, 195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326])
deque([195, 281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220])
deque([281, 346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220])
deque([346, 797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220])
deque([797, 142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347])
deque([142, 973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798])
deque([973, 677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143])
deque([677, 597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143])
deque([597, 404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143])
deque([404, 513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143])
deque([513, 184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405])
deque([184, 301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514])
deque([301, 116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185])
deque([116, 47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185])
deque([47, 426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185])
deque([426, 978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185])
deque([978, 101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427])
deque([101, 242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979])
deque([242, 9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589])
deque([9, 507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243])
deque([507, 263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10])
deque([263, 246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508])
deque([246, 846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508])
deque([846, 443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508])
deque([443, 988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508])
deque([988, 66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786])
deque([66, 449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92])
deque([449, 568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67])
deque([568, 223, 285, 635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67])
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deque([635, 68, 679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67])
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deque([679, 77, 638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67])
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deque([638, 726, 516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67])
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deque([516, 775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727])
deque([775, 927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727])
deque([927, 125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727])
deque([125, 945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727])
deque([945, 194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727])
deque([194, 645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946])
deque([645, 453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946])
deque([453, 484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646])
deque([484, 723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454])
deque([723, 476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485])
deque([476, 993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724])
deque([993, 796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724])
deque([796, 832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724])
deque([832, 676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724])
deque([676, 103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724])
deque([103, 121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724])
deque([121, 540, 459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104])
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deque([459, 409, 830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104])
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deque([830, 789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410])
deque([789, 577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831])
deque([577, 239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831])
deque([239, 781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869])
deque([781, 629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735])
deque([629, 616, 233, 868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735])
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deque([868, 158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234])
deque([158, 117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234])
deque([117, 140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159])
deque([140, 923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118])
deque([923, 196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141])
deque([196, 784, 790, 951, 38, 833, 541, 578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924])
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deque([578, 441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542])
deque([441, 596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579])
deque([596, 345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579])
deque([345, 267, 768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579])
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deque([768, 860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268])
deque([860, 63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769])
deque([63, 776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861])
deque([776, 338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861])
deque([338, 271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777])
deque([271, 16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339])
deque([16, 949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339])
deque([949, 59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17])
deque([59, 783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950])
deque([783, 745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950])
deque([745, 466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950])
deque([466, 919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950])
deque([919, 712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467])
deque([712, 655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467])
deque([655, 617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713])
deque([617, 824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656])
deque([824, 558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618])
deque([558, 847, 469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618])
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deque([469, 770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559])
deque([770, 991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559])
deque([991, 678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771])
deque([678, 807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771])
deque([807, 742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771])
deque([742, 992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771])
deque([992, 926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743])
deque([926, 893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743])
deque([893, 286, 593, 863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743])
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deque([863, 33, 273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594])
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deque([273, 44, 561, 29, 183, 662, 211, 477, 557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34])
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deque([557, 413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478])
deque([413, 683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478])
deque([683, 247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478])
deque([247, 598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478])
deque([598, 62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248])
deque([62, 109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248])
deque([109, 227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248])
deque([227, 821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248])
deque([821, 154, 773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248])
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deque([773, 682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822])
deque([682, 361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822])
deque([361, 96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822])
deque([96, 827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455])
deque([827, 990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455])
deque([990, 546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455])
deque([546, 947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455])
deque([947, 866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547])
deque([866, 335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948])
deque([335, 994, 922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602])
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deque([922, 874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602])
deque([874, 738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602])
deque([738, 393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875])
deque([393, 181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875])
deque([181, 684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394])
deque([684, 605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182])
deque([605, 470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182])
deque([470, 974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606])
deque([974, 588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606])
deque([588, 804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975])
deque([804, 216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975])
deque([216, 365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805])
deque([365, 134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217])
deque([134, 757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366])
deque([757, 623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366])
deque([623, 848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366])
deque([848, 887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624])
deque([887, 22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849])
deque([22, 403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888])
deque([403, 354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23])
deque([354, 452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23])
deque([452, 675, 582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355])
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deque([582, 620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355])
deque([620, 430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583])
deque([430, 382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621])
deque([382, 884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621])
deque([884, 529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149])
deque([529, 996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885])
deque([996, 673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885])
deque([673, 130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997])
deque([130, 564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674])
deque([564, 490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131])
deque([490, 526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565])
deque([526, 332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565])
deque([332, 412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565])
deque([412, 811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565])
deque([811, 416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565])
deque([416, 336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565])
deque([336, 591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417])
deque([591, 293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337])
deque([293, 813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592])
deque([813, 587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294])
deque([587, 48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294])
deque([48, 872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294])
deque([872, 162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294])
deque([162, 566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873])
deque([566, 705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873])
deque([705, 834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873])
deque([834, 435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706])
deque([435, 188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835])
deque([188, 718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436])
deque([718, 147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436])
deque([147, 250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719])
deque([250, 929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148])
deque([929, 258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251])
deque([258, 686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930])
deque([686, 282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930])
deque([282, 584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687])
deque([584, 607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687])
deque([607, 758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585])
deque([758, 721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585])
deque([721, 680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759])
deque([680, 357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722])
deque([357, 685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722])
deque([685, 31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358])
deque([31, 560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358])
deque([560, 375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358])
deque([375, 200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358])
deque([200, 172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358])
deque([172, 650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201])
deque([650, 433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870])
deque([433, 78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651])
deque([78, 64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728])
deque([64, 525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728])
deque([525, 785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728])
deque([785, 415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215])
deque([415, 809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215])
deque([809, 702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215])
deque([702, 304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810])
deque([304, 537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810])
deque([537, 113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810])
deque([113, 601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244])
deque([601, 264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114])
deque([264, 165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114])
deque([165, 450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265])
deque([450, 146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265])
deque([146, 176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265])
deque([176, 259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265])
deque([259, 814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177])
deque([814, 660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177])
deque([660, 850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815])
deque([850, 45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661])
deque([45, 173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851])
deque([173, 438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851])
deque([438, 236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851])
deque([236, 302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439])
deque([302, 228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439])
deque([228, 145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439])
deque([145, 740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439])
deque([740, 501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439])
deque([501, 19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741])
deque([19, 322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502])
deque([322, 799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502])
deque([799, 612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324])
deque([612, 221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324])
deque([221, 311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613])
deque([311, 374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613])
deque([374, 732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312])
deque([732, 475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312])
deque([475, 84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312])
deque([84, 959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350])
deque([959, 688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85])
deque([688, 604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85])
deque([604, 968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689])
deque([968, 881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689])
deque([881, 43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689])
deque([43, 372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689])
deque([372, 359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689])
deque([359, 49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373])
deque([49, 632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373])
deque([632, 391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50])
deque([391, 530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50])
deque([530, 79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595])
deque([79, 666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531])
deque([666, 274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80])
deque([274, 984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80])
deque([984, 510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275])
deque([510, 440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985])
deque([440, 982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985])
deque([982, 32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985])
deque([32, 960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983])
deque([960, 774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983])
deque([774, 928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961])
deque([928, 451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961])
deque([451, 940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961])
deque([940, 212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961])
deque([212, 857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961])
deque([857, 515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961])
deque([515, 93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961])
deque([93, 569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961])
deque([569, 671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961])
deque([671, 218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570])
deque([218, 500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672])
deque([500, 739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672])
deque([739, 754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672])
deque([754, 260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672])
deque([260, 161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755])
deque([161, 823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755])
deque([823, 986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755])
deque([986, 329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755])
deque([329, 995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755])
deque([995, 37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755])
deque([37, 160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755])
deque([160, 229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755])
deque([229, 733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755])
deque([733, 962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755])
deque([962, 180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734])
deque([180, 492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963])
deque([492, 935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963])
deque([935, 610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493])
deque([610, 15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493])
deque([15, 938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611])
deque([938, 512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611])
deque([512, 765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276])
deque([765, 894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89])
deque([894, 497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766])
deque([497, 310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766])
deque([310, 746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498])
deque([746, 910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932])
deque([910, 57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932])
deque([57, 167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911])
deque([167, 641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911])
deque([641, 326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911])
deque([326, 220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642])
deque([220, 347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327])
deque([347, 798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652])
deque([798, 143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348])
deque([143, 405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348])
deque([405, 514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144])
deque([514, 185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231])
deque([185, 427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977])
deque([427, 979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186])
deque([979, 102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186])
deque([102, 237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980])
deque([237, 230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313])
deque([230, 189, 589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313])
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deque([589, 243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313])
deque([243, 10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313])
deque([10, 508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313])
deque([508, 444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313])
deque([444, 786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509])
deque([786, 397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445])
deque([397, 747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445])
deque([747, 462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398])
deque([462, 862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748])
deque([862, 92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748])
deque([92, 67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748])
deque([67, 639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748])
deque([639, 727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748])
deque([727, 946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748])
deque([946, 646, 454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839])
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deque([454, 485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341])
deque([485, 724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341])
deque([724, 104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664])
deque([104, 460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664])
deque([460, 213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931])
deque([213, 410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461])
deque([410, 831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461])
deque([831, 708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461])
deque([708, 869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461])
deque([869, 735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709])
deque([735, 630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709])
deque([630, 234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709])
deque([234, 159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709])
deque([159, 118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235])
deque([118, 141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715])
deque([141, 924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715])
deque([924, 197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715])
deque([197, 791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925])
deque([791, 952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925])
deque([952, 542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925])
deque([542, 579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925])
deque([579, 268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925])
deque([268, 769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580])
deque([769, 861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665])
deque([861, 777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665])
deque([777, 339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665])
deque([339, 17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778])
deque([17, 950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340])
deque([950, 467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340])
deque([467, 713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752])
deque([713, 656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468])
deque([656, 618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714])
deque([618, 559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714])
deque([559, 771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714])
deque([771, 743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714])
deque([743, 287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714])
deque([287, 594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202])
deque([594, 34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288])
deque([34, 30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288])
deque([30, 663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35])
deque([663, 478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35])
deque([478, 248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35])
deque([248, 822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35])
deque([822, 362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998])
deque([362, 455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998])
deque([455, 547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998])
deque([547, 948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998])
deque([948, 602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487])
deque([602, 875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487])
deque([875, 394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603])
deque([394, 182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876])
deque([182, 606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395])
deque([606, 975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395])
deque([975, 805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395])
deque([805, 217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976])
deque([217, 366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806])
deque([366, 624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659])
deque([624, 849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659])
deque([849, 888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625])
deque([888, 23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625])
deque([23, 355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82])
deque([355, 583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24])
deque([583, 621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356])
deque([621, 383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356])
deque([383, 836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356])
deque([836, 149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384])
deque([149, 885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837])
deque([885, 997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837])
deque([997, 674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886])
deque([674, 131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886])
deque([131, 565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720])
deque([565, 417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132])
deque([417, 337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132])
deque([337, 592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132])
deque([592, 294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132])
deque([294, 873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132])
deque([873, 706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132])
deque([706, 835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132])
deque([835, 436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707])
deque([436, 719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707])
deque([719, 148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437])
deque([148, 251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437])
deque([251, 930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437])
deque([930, 687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252])
deque([687, 585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252])
deque([585, 759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252])
deque([759, 722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586])
deque([722, 358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716])
deque([358, 201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716])
deque([201, 800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716])
deque([800, 870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716])
deque([870, 651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801])
deque([651, 434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871])
deque([434, 728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871])
deque([728, 852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871])
deque([852, 816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871])
deque([816, 295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853])
deque([295, 20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853])
deque([20, 499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853])
deque([499, 215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21])
deque([215, 810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21])
deque([810, 244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21])
deque([244, 114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753])
deque([114, 265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753])
deque([265, 177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115])
deque([177, 815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266])
deque([815, 661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178])
deque([661, 851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178])
deque([851, 439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178])
deque([439, 741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178])
deque([741, 502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178])
deque([502, 323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178])
deque([323, 324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178])
deque([324, 613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178])
deque([613, 312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178])
deque([312, 350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178])
deque([350, 85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178])
deque([85, 689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351])
deque([689, 373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351])
deque([373, 50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210])
deque([50, 392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210])
deque([392, 595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210])
deque([595, 531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210])
deque([531, 80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210])
deque([80, 275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210])
deque([275, 985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81])
deque([985, 983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81])
deque([983, 961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81])
deque([961, 570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81])
deque([570, 672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81])
deque([672, 755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81])
deque([755, 734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81])
deque([734, 963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756])
deque([963, 493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756])
deque([493, 611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756])
deque([611, 939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756])
deque([939, 276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756])
deque([276, 89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756])
deque([89, 766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756])
deque([766, 498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756])
deque([498, 214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767])
deque([214, 750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767])
deque([750, 856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767])
deque([856, 488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751])
deque([488, 725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751])
deque([725, 619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751])
deque([619, 86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751])
deque([86, 932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751])
deque([932, 911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87])
deque([911, 642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87])
deque([642, 327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912])
deque([327, 652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912])
deque([652, 348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912])
deque([348, 144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912])
deque([144, 406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349])
deque([406, 231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349])
deque([231, 179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349])
deque([179, 489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349])
deque([489, 647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349])
deque([647, 532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349])
deque([532, 18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349])
deque([18, 90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349])
deque([90, 626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349])
deque([626, 198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91])
deque([198, 463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627])
deque([463, 792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627])
deque([792, 657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627])
deque([657, 352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793])
deque([352, 411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658])
deque([411, 977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353])
deque([977, 186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353])
deque([186, 980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353])
deque([980, 313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187])
deque([313, 509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981])
deque([509, 445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981])
deque([445, 398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981])
deque([398, 748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446])
deque([748, 839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399])
deque([839, 341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207])
deque([341, 486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840])
deque([486, 664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342])
deque([664, 105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342])
deque([105, 931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342])
deque([931, 461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342])
deque([461, 709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342])
deque([709, 235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342])
deque([235, 715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342])
deque([715, 925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342])
deque([925, 580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342])
deque([580, 665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342])
deque([665, 778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581])
deque([778, 340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581])
deque([340, 752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779])
deque([752, 468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779])
deque([468, 714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779])
deque([714, 202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779])
deque([202, 288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779])
deque([288, 35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203])
deque([35, 249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203])
deque([249, 998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36])
deque([998, 548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36])
deque([548, 328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999])
deque([328, 487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999])
deque([487, 603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999])
deque([603, 876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999])
deque([876, 395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999])
deque([395, 976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999])
deque([976, 806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396])
deque([806, 659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396])
deque([659, 625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396])
deque([625, 889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396])
deque([889, 82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396])
deque([82, 24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209])
deque([24, 356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83])
deque([356, 384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83])
deque([384, 837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83])
deque([837, 886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385])
deque([886, 803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838])
deque([803, 817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717])
deque([817, 749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717])
deque([749, 51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717])
deque([51, 205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717])
deque([205, 720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52])
deque([720, 132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52])
deque([132, 707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52])
deque([707, 437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133])
deque([437, 252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133])
deque([252, 586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133])
deque([586, 760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133])
deque([760, 716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133])
deque([716, 801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133])
deque([801, 871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133])
deque([871, 853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133])
deque([853, 21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133])
deque([21, 753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854])
deque([753, 115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854])
deque([115, 266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854])
deque([266, 178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854])
deque([178, 351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854])
deque([351, 210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854])
deque([210, 81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854])
deque([81, 756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854])
deque([756, 767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854])
deque([767, 751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854])
deque([751, 87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854])
deque([87, 912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854])
deque([912, 349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88])
deque([349, 91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913])
deque([91, 627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913])
deque([627, 793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913])
deque([793, 658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913])
deque([658, 353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913])
deque([353, 187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913])
deque([187, 981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913])
deque([981, 446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913])
deque([446, 399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913])
deque([399, 207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913, 447])
deque([207, 840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913, 447])
deque([840, 342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913, 447, 208])
deque([342, 581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913, 447, 208])
deque([581, 779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913, 447, 208])
deque([779, 203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913, 447, 208])
deque([203, 36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913, 447, 208])
deque([36, 999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913, 447, 208])
deque([999, 396, 890, 209, 83, 385, 838, 802, 204, 206, 717, 52, 133, 854, 88, 913, 447, 208])
10