deque([0])
deque([1])
deque([2, 381])
deque([381, 3])
deque([3, 382])
deque([382, 4, 824])
deque([4, 824, 383])
deque([824, 383, 5])
deque([383, 5, 825])
deque([5, 825, 384, 778, 728])
deque([825, 384, 778, 728, 6, 762, 711])
deque([384, 778, 728, 6, 762, 711, 826])
deque([778, 728, 6, 762, 711, 826, 385])
deque([728, 6, 762, 711, 826, 385, 779])
deque([6, 762, 711, 826, 385, 779, 729])
deque([762, 711, 826, 385, 779, 729, 7, 338, 717, 633])
deque([711, 826, 385, 779, 729, 7, 338, 717, 633, 763])
deque([826, 385, 779, 729, 7, 338, 717, 633, 763, 712])
deque([385, 779, 729, 7, 338, 717, 633, 763, 712, 827, 497, 494, 93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279])
deque([779, 729, 7, 338, 717, 633, 763, 712, 827, 497, 494, 93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386])
deque([729, 7, 338, 717, 633, 763, 712, 827, 497, 494, 93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835])
deque([7, 338, 717, 633, 763, 712, 827, 497, 494, 93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730])
deque([338, 717, 633, 763, 712, 827, 497, 494, 93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8])
deque([717, 633, 763, 712, 827, 497, 494, 93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339])
deque([633, 763, 712, 827, 497, 494, 93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718])
deque([763, 712, 827, 497, 494, 93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634])
deque([712, 827, 497, 494, 93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798])
deque([827, 497, 494, 93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713])
deque([497, 494, 93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828])
deque([494, 93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498])
deque([93, 773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495])
deque([773, 215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94])
deque([215, 764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774])
deque([764, 558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216])
deque([558, 954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765])
deque([954, 297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559])
deque([297, 530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955])
deque([530, 313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298])
deque([313, 541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298])
deque([541, 376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314])
deque([376, 324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542])
deque([324, 108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377])
deque([108, 531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325])
deque([531, 551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109])
deque([551, 915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532])
deque([915, 279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552])
deque([279, 386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916])
deque([386, 780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280])
deque([780, 835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942])
deque([835, 730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781])
deque([730, 8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836])
deque([8, 339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275])
deque([339, 718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9])
deque([718, 634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775])
deque([634, 798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719])
deque([798, 713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527])
deque([713, 828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799])
deque([828, 498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714])
deque([498, 495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829])
deque([495, 94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170])
deque([94, 774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496])
deque([774, 216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92])
deque([216, 765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253])
deque([765, 559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217])
deque([559, 955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510])
deque([955, 298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560])
deque([298, 314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902])
deque([314, 542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299])
deque([542, 377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400])
deque([377, 325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15])
deque([325, 109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245])
deque([109, 532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895])
deque([532, 552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110])
deque([552, 916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533])
deque([916, 280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553])
deque([280, 387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917])
deque([387, 942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666])
deque([942, 781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388])
deque([781, 836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943])
deque([836, 731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863])
deque([731, 275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528])
deque([275, 9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732])
deque([9, 340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276])
deque([340, 775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10])
deque([775, 719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341])
deque([719, 635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776])
deque([635, 527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720])
deque([527, 799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660])
deque([799, 714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660])
deque([714, 829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660])
deque([829, 499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715])
deque([499, 607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427])
deque([607, 315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500])
deque([315, 566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608])
deque([566, 899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316])
deque([899, 576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567])
deque([576, 170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900])
deque([170, 496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577])
deque([496, 95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171])
deque([95, 92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808])
deque([92, 253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96])
deque([253, 217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96])
deque([217, 766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254])
deque([766, 510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218])
deque([510, 560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767])
deque([560, 956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511])
deque([956, 267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561])
deque([267, 919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561])
deque([919, 436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268])
deque([436, 106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920])
deque([106, 349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437])
deque([349, 556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107])
deque([556, 908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350])
deque([908, 130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557])
deque([130, 493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909])
deque([493, 901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131])
deque([901, 183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131])
deque([183, 525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131])
deque([525, 63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184])
deque([63, 97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526])
deque([97, 680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64])
deque([680, 873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98])
deque([873, 864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681])
deque([864, 894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874])
deque([894, 601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865])
deque([601, 579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865])
deque([579, 815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602])
deque([815, 473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580])
deque([473, 74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816])
deque([74, 853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474])
deque([853, 877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474])
deque([877, 380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854])
deque([380, 907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878])
deque([907, 65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878])
deque([65, 902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878])
deque([902, 299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66])
deque([299, 967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903])
deque([967, 958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42])
deque([958, 400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968])
deque([400, 543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959])
deque([543, 15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401])
deque([15, 378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544])
deque([378, 988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16])
deque([988, 245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379])
deque([245, 326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989])
deque([326, 895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246])
deque([895, 110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246])
deque([110, 533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896])
deque([533, 553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947])
deque([553, 917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480])
deque([917, 281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573])
deque([281, 666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345])
deque([666, 388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282])
deque([388, 943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667])
deque([943, 782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389])
deque([782, 53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944])
deque([53, 696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783])
deque([696, 72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54])
deque([72, 327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697])
deque([327, 800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73])
deque([800, 423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328])
deque([423, 957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801])
deque([957, 710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424])
deque([710, 354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424])
deque([354, 490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424])
deque([490, 507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355])
deque([507, 671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491])
deque([671, 477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508])
deque([477, 501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672])
deque([501, 84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478])
deque([84, 627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502])
deque([627, 811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85])
deque([811, 321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628])
deque([321, 524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812])
deque([524, 621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322])
deque([621, 226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322])
deque([226, 75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622])
deque([75, 863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227])
deque([863, 837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76])
deque([837, 528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76])
deque([528, 732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838])
deque([732, 276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529])
deque([276, 10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886])
deque([10, 341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277])
deque([341, 776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11])
deque([776, 720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342])
deque([720, 636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777])
deque([636, 660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721])
deque([660, 715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637])
deque([715, 830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661])
deque([830, 214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716])
deque([214, 333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831])
deque([333, 427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831])
deque([427, 500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334])
deque([500, 608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428])
deque([608, 316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428])
deque([316, 567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609])
deque([567, 900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317])
deque([900, 577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100])
deque([577, 171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772])
deque([171, 808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578])
deque([808, 96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172])
deque([96, 254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809])
deque([254, 218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145])
deque([218, 767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255])
deque([767, 511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264])
deque([511, 561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453])
deque([561, 268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157])
deque([268, 920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562])
deque([920, 437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269])
deque([437, 107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921])
deque([107, 350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438])
deque([350, 557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438])
deque([557, 909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961])
deque([909, 131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961])
deque([131, 184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910])
deque([184, 526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122])
deque([526, 64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185])
deque([64, 98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185])
deque([98, 681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158])
deque([681, 874, 865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99])
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deque([865, 602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651])
deque([602, 580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244])
deque([580, 816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932])
deque([816, 474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581])
deque([474, 854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30])
deque([854, 878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475])
deque([878, 66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23])
deque([66, 903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879])
deque([903, 300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885])
deque([300, 42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904])
deque([42, 968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147])
deque([968, 959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43])
deque([959, 401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538])
deque([401, 544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538])
deque([544, 16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249])
deque([16, 379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594])
deque([379, 989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332])
deque([989, 246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332])
deque([246, 896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990])
deque([896, 111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182])
deque([111, 947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897])
deque([947, 534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112])
deque([534, 994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112])
deque([994, 536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535])
deque([536, 572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535])
deque([572, 928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537])
deque([928, 360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537])
deque([360, 140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929])
deque([140, 480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361])
deque([480, 554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361])
deque([554, 573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361])
deque([573, 918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699])
deque([918, 470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574])
deque([470, 587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610])
deque([587, 345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471])
deque([345, 282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588])
deque([282, 667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346])
deque([667, 389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283])
deque([389, 944, 783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668])
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deque([783, 54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945])
deque([54, 697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945])
deque([697, 73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945])
deque([73, 328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698])
deque([328, 801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186])
deque([801, 424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186])
deque([424, 355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805])
deque([355, 491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425])
deque([491, 508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425])
deque([508, 672, 478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492])
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deque([478, 502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673])
deque([502, 85, 628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455])
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deque([628, 812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86])
deque([812, 322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629])
deque([322, 622, 227, 76, 838, 529, 733, 886, 277, 11, 342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629])
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deque([342, 777, 721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12])
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deque([721, 637, 661, 716, 831, 334, 428, 609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727])
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deque([609, 317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429])
deque([317, 568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429])
deque([568, 100, 586, 59, 889, 287, 998, 442, 13, 951, 890, 87, 659, 481, 845, 24, 263, 308, 617, 243, 26, 101, 891, 482, 212, 126, 274, 127, 134, 986, 456, 70, 883, 912, 318, 584, 701, 356, 32, 761, 960, 982, 22, 898, 302, 175, 757, 822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429])
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deque([822, 840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758])
deque([840, 675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823])
deque([675, 868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841])
deque([868, 813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676])
deque([813, 31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869])
deque([31, 209, 819, 194, 726, 772, 578, 172, 809, 145, 255, 219, 18, 264, 768, 875, 416, 266, 368, 121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814])
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deque([121, 844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769])
deque([844, 132, 192, 606, 995, 806, 210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769])
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deque([210, 453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807])
deque([453, 512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807])
deque([512, 157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454])
deque([157, 562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513])
deque([562, 269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513])
deque([269, 921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563])
deque([921, 438, 351, 399, 518, 405, 103, 961, 910, 122, 185, 158, 99, 682, 407, 651, 866, 244, 603, 817, 683, 483, 839, 932, 581, 876, 948, 248, 963, 146, 832, 523, 417, 169, 30, 475, 855, 549, 644, 211, 645, 23, 879, 67, 565, 640, 570, 885, 904, 301, 147, 43, 969, 992, 538, 402, 893, 746, 252, 870, 261, 784, 296, 262, 852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445])
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deque([852, 409, 249, 545, 612, 213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785])
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deque([213, 25, 654, 133, 464, 594, 17, 332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613])
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deque([332, 990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595])
deque([990, 247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595])
deque([247, 141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273])
deque([141, 182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273])
deque([182, 897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273])
deque([897, 112, 535, 537, 929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273])
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deque([929, 361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795])
deque([361, 555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414])
deque([555, 618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179])
deque([618, 466, 286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179])
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deque([286, 293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467])
deque([293, 331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467])
deque([331, 162, 735, 369, 515, 370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467])
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deque([370, 49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736])
deque([49, 58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371])
deque([58, 974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50])
deque([974, 625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50])
deque([625, 123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50])
deque([123, 503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50])
deque([503, 142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124])
deque([142, 44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504])
deque([44, 55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143])
deque([55, 196, 203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45])
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deque([203, 699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197])
deque([699, 574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197])
deque([574, 610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700])
deque([610, 471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700])
deque([471, 588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700])
deque([588, 346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472])
deque([346, 283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589])
deque([283, 668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741])
deque([668, 390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284])
deque([390, 945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669])
deque([945, 698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391])
deque([698, 225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946])
deque([225, 153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946])
deque([153, 834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946])
deque([834, 691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154])
deque([691, 803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154])
deque([803, 970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692])
deque([970, 848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804])
deque([848, 469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971])
deque([469, 611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971])
deque([611, 208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971])
deque([208, 47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971])
deque([47, 962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971])
deque([962, 925, 408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48])
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deque([408, 430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926])
deque([430, 272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926])
deque([272, 793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431])
deque([793, 940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431])
deque([940, 426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794])
deque([426, 176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941])
deque([176, 329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941])
deque([329, 447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177])
deque([447, 703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330])
deque([703, 78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448])
deque([78, 433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448])
deque([433, 129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79])
deque([129, 626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79])
deque([626, 186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79])
deque([186, 802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79])
deque([802, 479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187])
deque([479, 950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187])
deque([950, 289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187])
deque([289, 678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187])
deque([678, 348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290])
deque([348, 632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679])
deque([632, 892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679])
deque([892, 221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679])
deque([221, 949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679])
deque([949, 575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222])
deque([575, 29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222])
deque([29, 463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222])
deque([463, 181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222])
deque([181, 240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222])
deque([240, 997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222])
deque([997, 223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241])
deque([223, 805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241])
deque([805, 425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224])
deque([425, 492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224])
deque([492, 509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224])
deque([509, 673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364])
deque([673, 455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364])
deque([455, 86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180])
deque([86, 629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180])
deque([629, 323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180])
deque([323, 623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432])
deque([623, 228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432])
deque([228, 294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235])
deque([294, 871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616])
deque([871, 77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295])
deque([77, 734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295])
deque([734, 887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295])
deque([887, 278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977])
deque([278, 12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888])
deque([12, 343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888])
deque([343, 451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888])
deque([451, 592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344])
deque([592, 704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452])
deque([704, 259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593])
deque([259, 857, 931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593])
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deque([931, 461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858])
deque([461, 689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858])
deque([689, 257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462])
deque([257, 115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690])
deque([115, 36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690, 258])
deque([36, 727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690, 258, 116])
deque([727, 722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690, 258, 116, 37])
deque([722, 516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690, 258, 116, 37])
deque([516, 638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690, 258, 116, 37, 723, 420, 404])
deque([638, 662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690, 258, 116, 37, 723, 420, 404, 517])
deque([662, 930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690, 258, 116, 37, 723, 420, 404, 517, 639, 796])
deque([930, 335, 429, 569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690, 258, 116, 37, 723, 420, 404, 517, 639, 796, 663])
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deque([569, 60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690, 258, 116, 37, 723, 420, 404, 517, 639, 796, 663, 336, 201, 981, 936, 487, 152])
deque([60, 288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690, 258, 116, 37, 723, 420, 404, 517, 639, 796, 663, 336, 201, 981, 936, 487, 152])
deque([288, 999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690, 258, 116, 37, 723, 420, 404, 517, 639, 796, 663, 336, 201, 981, 936, 487, 152, 61, 914, 150, 156])
deque([999, 443, 14, 952, 88, 846, 309, 27, 102, 128, 135, 987, 457, 71, 884, 913, 319, 585, 702, 357, 33, 983, 303, 758, 823, 841, 676, 869, 814, 820, 195, 173, 810, 256, 220, 19, 265, 769, 193, 996, 807, 454, 513, 563, 270, 285, 445, 922, 439, 352, 519, 406, 104, 911, 434, 119, 847, 159, 652, 867, 604, 818, 684, 484, 933, 582, 964, 833, 418, 476, 505, 856, 155, 975, 138, 706, 204, 521, 859, 191, 755, 250, 842, 694, 849, 139, 966, 972, 178, 705, 598, 872, 113, 550, 646, 880, 68, 641, 571, 905, 148, 444, 993, 539, 403, 747, 785, 410, 546, 613, 655, 465, 595, 991, 373, 273, 795, 414, 362, 488, 984, 179, 619, 467, 163, 736, 371, 50, 124, 504, 143, 45, 56, 197, 700, 472, 589, 347, 741, 284, 669, 391, 946, 154, 692, 804, 971, 48, 926, 431, 794, 941, 177, 330, 448, 79, 187, 290, 679, 222, 241, 224, 415, 364, 674, 180, 630, 432, 624, 707, 235, 229, 616, 295, 924, 658, 977, 888, 344, 452, 593, 260, 858, 462, 690, 258, 116, 37, 723, 420, 404, 517, 639, 796, 663, 336, 201, 981, 936, 487, 152, 61, 914, 150, 156])
12