deque([0])
deque([1])
deque([2, 37])
deque([37, 3, 103, 210, 176, 698, 150])
deque([3, 103, 210, 176, 698, 150, 38])
deque([103, 210, 176, 698, 150, 38, 4, 384])
deque([210, 176, 698, 150, 38, 4, 384, 104])
deque([176, 698, 150, 38, 4, 384, 104, 211])
deque([698, 150, 38, 4, 384, 104, 211, 177])
deque([150, 38, 4, 384, 104, 211, 177, 699])
deque([38, 4, 384, 104, 211, 177, 699, 151])
deque([4, 384, 104, 211, 177, 699, 151, 39])
deque([384, 104, 211, 177, 699, 151, 39, 5, 815])
deque([104, 211, 177, 699, 151, 39, 5, 815, 385])
deque([211, 177, 699, 151, 39, 5, 815, 385, 105, 921, 217, 613])
deque([177, 699, 151, 39, 5, 815, 385, 105, 921, 217, 613, 212])
deque([699, 151, 39, 5, 815, 385, 105, 921, 217, 613, 212, 178, 369, 708, 464])
deque([151, 39, 5, 815, 385, 105, 921, 217, 613, 212, 178, 369, 708, 464, 700, 480, 716])
deque([39, 5, 815, 385, 105, 921, 217, 613, 212, 178, 369, 708, 464, 700, 480, 716, 152])
deque([5, 815, 385, 105, 921, 217, 613, 212, 178, 369, 708, 464, 700, 480, 716, 152, 40, 17, 10])
deque([815, 385, 105, 921, 217, 613, 212, 178, 369, 708, 464, 700, 480, 716, 152, 40, 17, 10, 6])
deque([385, 105, 921, 217, 613, 212, 178, 369, 708, 464, 700, 480, 716, 152, 40, 17, 10, 6, 816])
deque([105, 921, 217, 613, 212, 178, 369, 708, 464, 700, 480, 716, 152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486])
deque([921, 217, 613, 212, 178, 369, 708, 464, 700, 480, 716, 152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926])
deque([217, 613, 212, 178, 369, 708, 464, 700, 480, 716, 152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922])
deque([613, 212, 178, 369, 708, 464, 700, 480, 716, 152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218])
deque([212, 178, 369, 708, 464, 700, 480, 716, 152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614])
deque([178, 369, 708, 464, 700, 480, 716, 152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213])
deque([369, 708, 464, 700, 480, 716, 152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179])
deque([708, 464, 700, 480, 716, 152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370])
deque([464, 700, 480, 716, 152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709])
deque([700, 480, 716, 152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465])
deque([480, 716, 152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701])
deque([716, 152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481])
deque([152, 40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717])
deque([40, 17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153])
deque([17, 10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576])
deque([10, 6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18])
deque([6, 816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11])
deque([816, 386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7])
deque([386, 95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817])
deque([95, 650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731])
deque([650, 387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96])
deque([387, 376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651])
deque([376, 516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388])
deque([516, 936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377])
deque([936, 42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517])
deque([42, 895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937])
deque([895, 907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43])
deque([907, 571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896])
deque([571, 189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908])
deque([189, 725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572])
deque([725, 262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190])
deque([262, 968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726])
deque([968, 486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263])
deque([486, 106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969])
deque([106, 926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487])
deque([926, 922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107])
deque([922, 218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927])
deque([218, 614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319])
deque([614, 213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219])
deque([213, 179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615])
deque([179, 370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738])
deque([370, 709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127])
deque([709, 465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371])
deque([465, 701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710])
deque([701, 481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466])
deque([481, 717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702])
deque([717, 153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427])
deque([153, 41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155])
deque([41, 576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154])
deque([576, 18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392])
deque([18, 11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577])
deque([11, 7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19])
deque([7, 817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569])
deque([817, 526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8])
deque([526, 120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525])
deque([120, 731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527])
deque([731, 96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121])
deque([96, 651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732])
deque([651, 388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109])
deque([388, 377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652])
deque([377, 517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389])
deque([517, 937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378])
deque([937, 43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758])
deque([43, 896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938])
deque([896, 908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44])
deque([908, 572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894])
deque([572, 190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909])
deque([190, 726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401])
deque([726, 263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191])
deque([263, 969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727])
deque([969, 487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254])
deque([487, 107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254])
deque([107, 927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488])
deque([927, 923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108])
deque([923, 989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928])
deque([989, 319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255])
deque([319, 219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990])
deque([219, 615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990])
deque([615, 214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220])
deque([214, 704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980])
deque([704, 738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122])
deque([738, 180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705])
deque([180, 366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739])
deque([366, 690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617])
deque([690, 798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367])
deque([798, 573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691])
deque([573, 646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799])
deque([646, 801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574])
deque([801, 616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647])
deque([616, 904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802])
deque([904, 584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802])
deque([584, 333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905])
deque([333, 535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585])
deque([535, 174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334])
deque([174, 876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536])
deque([876, 482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175])
deque([482, 916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877])
deque([916, 260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483])
deque([260, 470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917])
deque([470, 128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261])
deque([128, 100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471])
deque([100, 188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129])
deque([188, 320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101])
deque([320, 127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101])
deque([127, 371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321])
deque([371, 710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321])
deque([710, 466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372])
deque([466, 702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711])
deque([702, 427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467])
deque([427, 718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703])
deque([718, 155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428])
deque([155, 154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768])
deque([154, 392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156])
deque([392, 577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156])
deque([577, 19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393])
deque([19, 12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435])
deque([12, 867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20])
deque([867, 569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13])
deque([569, 8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868])
deque([8, 818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868])
deque([818, 729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9])
deque([729, 687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819])
deque([687, 403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730])
deque([403, 131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688])
deque([131, 525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404])
deque([525, 527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132])
deque([527, 121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132])
deque([121, 732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528])
deque([732, 97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528])
deque([97, 109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882])
deque([109, 652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117])
deque([652, 389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110])
deque([389, 378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653])
deque([378, 518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326])
deque([518, 758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805])
deque([758, 938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918])
deque([938, 44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759])
deque([44, 897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169])
deque([897, 170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253])
deque([170, 894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412])
deque([894, 909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171])
deque([909, 681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171])
deque([681, 68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282])
deque([68, 970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682])
deque([970, 401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69])
deque([401, 191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971])
deque([191, 727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402])
deque([727, 264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192])
deque([264, 254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341])
deque([254, 488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265])
deque([488, 108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265])
deque([108, 928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489])
deque([928, 924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252])
deque([924, 255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252])
deque([255, 990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925])
deque([990, 220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256])
deque([220, 636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991])
deque([636, 686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831])
deque([686, 656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637])
deque([656, 323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637])
deque([323, 432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657])
deque([432, 423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324])
deque([423, 148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433])
deque([148, 929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424])
deque([929, 994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149])
deque([994, 770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930])
deque([770, 157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995])
deque([157, 570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771])
deque([570, 694, 884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158])
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deque([884, 337, 550, 250, 353, 715, 356, 78, 757, 788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695])
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deque([788, 545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79])
deque([545, 627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79])
deque([627, 735, 707, 498, 417, 980, 215, 122, 705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546])
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deque([705, 739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123])
deque([739, 181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706])
deque([181, 318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740])
deque([318, 617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182])
deque([617, 367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182])
deque([367, 691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618])
deque([691, 799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538])
deque([799, 574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680])
deque([574, 647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942])
deque([647, 802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575])
deque([802, 905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648])
deque([905, 585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881])
deque([585, 334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906])
deque([334, 536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906])
deque([536, 175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906])
deque([175, 877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537])
deque([877, 483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537])
deque([483, 917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878])
deque([917, 261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484])
deque([261, 471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203])
deque([471, 129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203])
deque([129, 101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472])
deque([101, 321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257])
deque([321, 372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49])
deque([372, 711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542])
deque([711, 467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373])
deque([467, 703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935])
deque([703, 428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476])
deque([428, 719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476])
deque([719, 114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476])
deque([114, 768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720])
deque([768, 156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115])
deque([156, 393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769])
deque([393, 578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769])
deque([578, 435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394])
deque([435, 20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626])
deque([20, 13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626])
deque([13, 868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22])
deque([868, 9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14])
deque([9, 819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14])
deque([819, 730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14])
deque([730, 688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59])
deque([688, 404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539])
deque([404, 132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689])
deque([132, 528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914])
deque([528, 733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914])
deque([733, 882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529])
deque([882, 98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138])
deque([98, 202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883])
deque([202, 784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99])
deque([784, 335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99])
deque([335, 117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785])
deque([117, 110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336])
deque([110, 653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118])
deque([653, 390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828])
deque([390, 326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828])
deque([326, 379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458])
deque([379, 306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327])
deque([306, 289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552])
deque([289, 340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307])
deque([340, 783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290])
deque([783, 805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290])
deque([805, 519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290])
deque([519, 918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290])
deque([918, 759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398])
deque([759, 939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398])
deque([939, 841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760])
deque([841, 658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940])
deque([658, 169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842])
deque([169, 45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842])
deque([45, 253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842])
deque([253, 898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842])
deque([898, 419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842])
deque([419, 412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591])
deque([412, 171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591])
deque([171, 910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413])
deque([910, 133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172])
deque([133, 666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911])
deque([666, 267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134])
deque([267, 227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667])
deque([227, 567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268])
deque([567, 258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228])
deque([258, 629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568])
deque([629, 838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568])
deque([838, 973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630])
deque([973, 638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839])
deque([638, 919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974])
deque([919, 631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639])
deque([631, 866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920])
deque([866, 440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920])
deque([440, 206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920])
deque([206, 25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441])
deque([25, 586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207])
deque([586, 383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26])
deque([383, 24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587])
deque([24, 675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587])
deque([675, 857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587])
deque([857, 187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676])
deque([187, 282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858])
deque([282, 682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858])
deque([682, 69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283])
deque([69, 971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683])
deque([971, 402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70])
deque([402, 192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834])
deque([192, 728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834])
deque([728, 30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285])
deque([30, 341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984])
deque([341, 265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31])
deque([265, 489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342])
deque([489, 559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266])
deque([559, 958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812])
deque([958, 789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812])
deque([789, 593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959])
deque([593, 199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790])
deque([199, 409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594])
deque([409, 252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200])
deque([252, 925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410])
deque([925, 256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410])
deque([256, 991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410])
deque([991, 221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410])
deque([221, 831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56])
deque([831, 637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859])
deque([637, 657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859])
deque([657, 324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859])
deque([324, 433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859])
deque([433, 424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325])
deque([424, 149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434])
deque([149, 930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434])
deque([930, 995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225])
deque([995, 771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167])
deque([771, 158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996])
deque([158, 695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772])
deque([695, 885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979])
deque([885, 338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696])
deque([338, 551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886])
deque([551, 251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860])
deque([251, 354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794])
deque([354, 357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941])
deque([357, 79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355])
deque([79, 546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619])
deque([546, 628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737])
deque([628, 736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547])
deque([736, 499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547])
deque([499, 418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547])
deque([418, 981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540])
deque([981, 216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540])
deque([216, 123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982])
deque([123, 706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982])
deque([706, 740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450])
deque([740, 182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450])
deque([182, 618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741])
deque([618, 368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183])
deque([368, 168, 830, 832, 829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983])
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deque([829, 501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833])
deque([501, 664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833])
deque([664, 346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502])
deque([346, 339, 861, 136, 46, 677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665])
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deque([677, 556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137])
deque([556, 821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678])
deque([821, 538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557])
deque([538, 692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822])
deque([692, 145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822])
deque([145, 35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382])
deque([35, 680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146])
deque([680, 800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146])
deque([800, 942, 575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146])
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deque([575, 648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943])
deque([648, 803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943])
deque([803, 643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314])
deque([643, 881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301])
deque([881, 906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644])
deque([906, 537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644])
deque([537, 878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139])
deque([878, 484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139])
deque([484, 659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112])
deque([659, 203, 472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274])
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deque([472, 130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204])
deque([130, 429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473])
deque([429, 960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473])
deque([960, 85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430])
deque([85, 840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961])
deque([840, 743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86])
deque([743, 752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86])
deque([752, 287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744])
deque([287, 948, 560, 796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753])
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deque([796, 83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561])
deque([83, 966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797])
deque([966, 140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84])
deque([140, 271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967])
deque([271, 160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141])
deque([160, 654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272])
deque([654, 649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272])
deque([649, 632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655])
deque([632, 257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655])
deque([257, 102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633])
deque([102, 259, 869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633])
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deque([869, 420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633])
deque([420, 288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870])
deque([288, 347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870])
deque([347, 893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870])
deque([893, 310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348])
deque([310, 548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348])
deque([548, 48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311])
deque([48, 240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549])
deque([240, 468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549])
deque([468, 49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549])
deque([49, 322, 542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469])
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deque([542, 373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414])
deque([373, 712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543])
deque([712, 935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445])
deque([935, 476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713])
deque([476, 720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713])
deque([720, 115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477])
deque([115, 769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477])
deque([769, 394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116])
deque([394, 579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116])
deque([579, 684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395])
deque([684, 436, 509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580])
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deque([509, 279, 751, 806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437])
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deque([806, 635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280])
deque([635, 236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807])
deque([236, 456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807])
deque([456, 374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237])
deque([374, 626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457])
deque([626, 21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457])
deque([21, 22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457])
deque([22, 14, 820, 853, 59, 421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457])
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deque([421, 697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60])
deque([697, 539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422])
deque([539, 689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422])
deque([689, 405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422])
deque([405, 597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163])
deque([597, 77, 375, 914, 529, 734, 138, 883, 99, 785, 336, 118, 111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564])
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deque([111, 161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786])
deque([161, 828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786])
deque([828, 391, 610, 298, 846, 660, 425, 458, 327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162])
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deque([327, 380, 625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459])
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deque([625, 503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235])
deque([503, 608, 997, 862, 164, 552, 307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235])
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deque([307, 290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553])
deque([290, 520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308])
deque([520, 36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523])
deque([36, 398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521])
deque([398, 760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521])
deque([760, 940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521])
deque([940, 842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776])
deque([842, 899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776])
deque([899, 591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793])
deque([591, 413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793])
deque([413, 172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592])
deque([172, 911, 134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463])
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deque([134, 667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912])
deque([667, 268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912])
deque([268, 228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668])
deque([228, 568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242])
deque([568, 630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229])
deque([630, 839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229])
deque([839, 974, 639, 920, 441, 207, 26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229])
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deque([26, 587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442])
deque([587, 676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27])
deque([676, 858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588])
deque([858, 283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588])
deque([283, 683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479])
deque([683, 70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891])
deque([70, 972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891])
deque([972, 834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71])
deque([834, 193, 598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71])
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deque([598, 285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835])
deque([285, 223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599])
deque([223, 951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286])
deque([951, 837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224])
deque([837, 493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952])
deque([493, 303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952])
deque([303, 984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494])
deque([984, 31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304])
deque([31, 342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985])
deque([342, 266, 490, 812, 959, 790, 594, 200, 410, 992, 976, 56, 222, 300, 859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985])
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deque([859, 325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977])
deque([325, 434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977])
deque([434, 824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977])
deque([824, 225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977])
deque([225, 931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825])
deque([931, 167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825])
deque([167, 996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825])
deque([996, 772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825])
deque([772, 159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825])
deque([159, 755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773])
deque([755, 474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773])
deque([474, 241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773])
deque([241, 605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475])
deque([605, 944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475])
deque([944, 754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606])
deque([754, 979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606])
deque([979, 696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606])
deque([696, 886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606])
deque([886, 860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294])
deque([860, 794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294])
deque([794, 941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294])
deque([941, 355, 358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294])
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deque([358, 359, 722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901])
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deque([722, 619, 80, 765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901])
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deque([765, 407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903])
deque([407, 144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903])
deque([144, 737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408])
deque([737, 547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408])
deque([547, 500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408])
deque([500, 540, 982, 124, 450, 741, 183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408])
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deque([183, 983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451])
deque([983, 91, 299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184])
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deque([299, 57, 88, 993, 313, 399, 312, 620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92])
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deque([620, 621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89])
deque([621, 400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89])
deque([400, 582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622])
deque([582, 808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622])
deque([808, 208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583])
deque([208, 82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809])
deque([82, 119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209])
deque([119, 234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209])
deque([234, 33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209])
deque([33, 360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209])
deque([360, 863, 352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34])
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deque([352, 932, 892, 291, 721, 900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361])
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deque([900, 47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292])
deque([47, 833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292])
deque([833, 502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292])
deque([502, 665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292])
deque([665, 137, 678, 557, 822, 693, 382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292])
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deque([382, 146, 249, 194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823])
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deque([194, 943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147])
deque([943, 314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195])
deque([314, 804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511])
deque([804, 301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315])
deque([301, 644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315])
deque([644, 343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302])
deque([343, 139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645])
deque([139, 879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344])
deque([879, 112, 485, 274, 204, 473, 430, 961, 86, 744, 753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344])
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deque([753, 949, 561, 797, 84, 967, 141, 272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745])
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deque([272, 655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562])
deque([655, 633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245])
deque([633, 870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245])
deque([870, 348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634])
deque([348, 311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634])
deque([311, 549, 469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349])
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deque([469, 50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186])
deque([50, 248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186])
deque([248, 872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51])
deque([872, 414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51])
deque([414, 543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51])
deque([543, 445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415])
deque([445, 713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415])
deque([713, 477, 116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446])
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deque([116, 395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478])
deque([395, 580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478])
deque([580, 685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396])
deque([685, 437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581])
deque([437, 510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581])
deque([510, 280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438])
deque([280, 807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438])
deque([807, 237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281])
deque([237, 457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281])
deque([457, 23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238])
deque([23, 15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238])
deque([15, 854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238])
deque([854, 60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16])
deque([60, 422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16])
deque([422, 163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233])
deque([163, 406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233])
deque([406, 604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233])
deque([604, 564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233])
deque([564, 915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233])
deque([915, 530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565])
deque([530, 166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565])
deque([166, 185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565])
deque([185, 795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565])
deque([795, 786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565])
deque([786, 162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565])
deque([162, 135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787])
deque([135, 611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865])
deque([611, 847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865])
deque([847, 661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612])
deque([661, 426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848])
deque([426, 459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662])
deque([459, 328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662])
deque([328, 381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231])
deque([381, 235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329])
deque([235, 504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329])
deque([504, 609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329])
deque([609, 998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505])
deque([998, 165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505])
deque([165, 553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999])
deque([553, 308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232])
deque([308, 523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239])
deque([523, 521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309])
deque([521, 761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524])
deque([761, 142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524])
deque([142, 776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524])
deque([776, 843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143])
deque([843, 793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777])
deque([793, 592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844])
deque([592, 463, 173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844])
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deque([173, 950, 957, 32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844])
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deque([32, 791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826])
deque([791, 792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826])
deque([792, 873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826])
deque([873, 363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826])
deque([363, 953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874])
deque([953, 113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874])
deque([113, 67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954])
deque([67, 365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954])
deque([365, 462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954])
deque([462, 671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954])
deque([671, 350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954])
deque([350, 945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672])
deque([945, 90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672])
deque([90, 243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672])
deque([243, 532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672])
deque([532, 590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244])
deque([590, 58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533])
deque([58, 742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533])
deque([742, 855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533])
deque([855, 679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533])
deque([679, 747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856])
deque([747, 74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856])
deque([74, 889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748])
deque([889, 887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75])
deque([887, 317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890])
deque([317, 767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890])
deque([767, 29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890])
deque([29, 397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890])
deque([397, 811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890])
deque([811, 912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890])
deque([912, 668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890])
deque([668, 269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913])
deque([269, 242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669])
deque([242, 229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669])
deque([229, 975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669])
deque([975, 756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230])
deque([756, 640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875])
deque([640, 442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875])
deque([442, 27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641])
deque([27, 588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443])
deque([588, 624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28])
deque([624, 766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589])
deque([766, 963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589])
deque([963, 198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589])
deque([198, 479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589])
deque([479, 284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589])
deque([284, 891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589])
deque([891, 71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589])
deque([71, 835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589])
deque([835, 599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589])
deque([599, 286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589])
deque([286, 224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589])
deque([224, 952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589])
deque([952, 494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750])
deque([494, 304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956])
deque([304, 985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447])
deque([985, 544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305])
deque([544, 845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986])
deque([845, 226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986])
deque([226, 491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986])
deque([491, 813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986])
deque([813, 780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986])
deque([780, 72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814])
deque([72, 962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814])
deque([962, 201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814])
deque([201, 827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814])
deque([827, 762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814])
deque([762, 449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814])
deque([449, 595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763])
deque([595, 73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763])
deque([73, 411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763])
deque([411, 977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763])
deque([977, 825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763])
deque([825, 773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978])
deque([773, 475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978])
deque([475, 606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978])
deque([606, 674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978])
deque([674, 294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978])
deque([294, 555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978])
deque([555, 94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295])
deque([94, 65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295])
deque([65, 534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295])
deque([534, 444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66])
deque([444, 531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66])
deque([531, 864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66])
deque([864, 351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66])
deque([351, 364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66])
deque([364, 901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66])
deque([901, 723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66])
deque([723, 81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902])
deque([81, 903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724])
deque([903, 408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724])
deque([408, 541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724])
deque([541, 125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724])
deque([125, 451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724])
deque([451, 184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724])
deque([184, 92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452])
deque([92, 89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452])
deque([89, 622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93])
deque([622, 583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93])
deque([583, 809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93])
deque([809, 209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93])
deque([209, 34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53])
deque([34, 361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53])
deque([361, 933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53])
deque([933, 292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53])
deque([292, 275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934])
deque([275, 558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293])
deque([558, 871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293])
deque([871, 823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293])
deque([823, 147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293])
deque([147, 195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293])
deque([195, 511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293])
deque([511, 315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196])
deque([315, 302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512])
deque([302, 645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316])
deque([645, 344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316])
deque([344, 880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316])
deque([880, 205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316])
deque([205, 431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316])
deque([431, 87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563])
deque([87, 745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563])
deque([745, 562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563])
deque([562, 273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746])
deque([273, 245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746])
deque([245, 634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746])
deque([634, 349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246])
deque([349, 186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246])
deque([186, 51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246])
deque([51, 415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246])
deque([415, 446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52])
deque([446, 714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52])
deque([714, 478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52])
deque([478, 396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52])
deque([396, 581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514])
deque([581, 438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514])
deque([438, 281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514])
deque([281, 238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514])
deque([238, 16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514])
deque([16, 61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514])
deque([61, 233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514])
deque([233, 565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514])
deque([565, 787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514])
deque([787, 774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566])
deque([774, 865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566])
deque([865, 612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775])
deque([612, 848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775])
deque([848, 662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775])
deque([662, 460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775])
deque([460, 522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663])
deque([522, 276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663])
deque([276, 461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663])
deque([461, 492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663, 277])
deque([492, 270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663, 277])
deque([270, 670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663, 277])
deque([670, 345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663, 277])
deque([345, 362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663, 277])
deque([362, 836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663, 277])
deque([836, 231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663, 277])
deque([231, 329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663, 277])
deque([329, 505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663, 277])
deque([505, 999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663, 277])
deque([999, 232, 554, 239, 309, 524, 143, 777, 844, 782, 596, 332, 54, 600, 455, 416, 62, 330, 888, 946, 826, 874, 954, 672, 244, 533, 856, 748, 75, 890, 913, 669, 230, 964, 875, 641, 443, 28, 589, 607, 448, 955, 296, 781, 495, 197, 623, 126, 849, 852, 439, 453, 515, 64, 750, 956, 63, 447, 305, 986, 814, 763, 978, 295, 66, 902, 724, 452, 93, 810, 53, 934, 293, 196, 512, 316, 988, 496, 563, 746, 246, 52, 514, 566, 775, 663, 277, 506])
12