deque([0])
deque([1])
deque([2])
deque([3, 52944])
deque([52944, 4, 33861, 55288])
deque([4, 33861, 55288, 52945])
deque([33861, 55288, 52945, 5, 24482])
deque([55288, 52945, 5, 24482, 33862])
deque([52945, 5, 24482, 33862, 55289])
deque([5, 24482, 33862, 55289, 52946])
deque([24482, 33862, 55289, 52946, 6])
deque([33862, 55289, 52946, 6, 24483])
deque([55289, 52946, 6, 24483, 33863])
deque([52946, 6, 24483, 33863, 55290])
deque([6, 24483, 33863, 55290, 52947, 77256, 57159, 13145, 3358, 75270, 8952, 34432])
deque([24483, 33863, 55290, 52947, 77256, 57159, 13145, 3358, 75270, 8952, 34432, 7])
deque([33863, 55290, 52947, 77256, 57159, 13145, 3358, 75270, 8952, 34432, 7, 24484])
deque([55290, 52947, 77256, 57159, 13145, 3358, 75270, 8952, 34432, 7, 24484, 33864, 66370])
deque([52947, 77256, 57159, 13145, 3358, 75270, 8952, 34432, 7, 24484, 33864, 66370, 55291])
deque([77256, 57159, 13145, 3358, 75270, 8952, 34432, 7, 24484, 33864, 66370, 55291, 52948])
deque([57159, 13145, 3358, 75270, 8952, 34432, 7, 24484, 33864, 66370, 55291, 52948, 77257])
deque([13145, 3358, 75270, 8952, 34432, 7, 24484, 33864, 66370, 55291, 52948, 77257, 57160])
deque([3358, 75270, 8952, 34432, 7, 24484, 33864, 66370, 55291, 52948, 77257, 57160, 13146])
deque([75270, 8952, 34432, 7, 24484, 33864, 66370, 55291, 52948, 77257, 57160, 13146, 3359])
deque([8952, 34432, 7, 24484, 33864, 66370, 55291, 52948, 77257, 57160, 13146, 3359, 75271])
deque([34432, 7, 24484, 33864, 66370, 55291, 52948, 77257, 57160, 13146, 3359, 75271, 8953])
deque([7, 24484, 33864, 66370, 55291, 52948, 77257, 57160, 13146, 3359, 75271, 8953, 34433])
deque([24484, 33864, 66370, 55291, 52948, 77257, 57160, 13146, 3359, 75271, 8953, 34433, 8, 37338, 22293, 62186, 11380, 63603, 43213])
deque([33864, 66370, 55291, 52948, 77257, 57160, 13146, 3359, 75271, 8953, 34433, 8, 37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308])
deque([66370, 55291, 52948, 77257, 57160, 13146, 3359, 75271, 8953, 34433, 8, 37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865])
deque([55291, 52948, 77257, 57160, 13146, 3359, 75271, 8953, 34433, 8, 37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371])
deque([52948, 77257, 57160, 13146, 3359, 75271, 8953, 34433, 8, 37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292])
deque([77257, 57160, 13146, 3359, 75271, 8953, 34433, 8, 37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919])
deque([57160, 13146, 3359, 75271, 8953, 34433, 8, 37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242])
deque([13146, 3359, 75271, 8953, 34433, 8, 37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131])
deque([3359, 75271, 8953, 34433, 8, 37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147])
deque([75271, 8953, 34433, 8, 37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360])
deque([8953, 34433, 8, 37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272])
deque([34433, 8, 37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954])
deque([8, 37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636])
deque([37338, 22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204])
deque([22293, 62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339])
deque([62186, 11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294])
deque([11380, 63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187])
deque([63603, 43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381])
deque([43213, 24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604])
deque([24485, 747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214])
deque([747, 40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486])
deque([40443, 18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748])
deque([18655, 90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444])
deque([90519, 83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656])
deque([83308, 33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520])
deque([33865, 66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309])
deque([66371, 55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866])
deque([55292, 52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350])
deque([52949, 92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046])
deque([92819, 1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950])
deque([1649, 57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820])
deque([57893, 65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650])
deque([65930, 72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894])
deque([72238, 41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931])
deque([41697, 57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239])
deque([57214, 10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698])
deque([10270, 32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215])
deque([32093, 69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271])
deque([69453, 90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094])
deque([90270, 79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454])
deque([79355, 97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271])
deque([97086, 18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356])
deque([18919, 77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087])
deque([77258, 6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920])
deque([6495, 32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259])
deque([32242, 57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496])
deque([57161, 10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243])
deque([10167, 29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162])
deque([29727, 11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168])
deque([11131, 13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728])
deque([13147, 3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132])
deque([3360, 75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530])
deque([75272, 8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361])
deque([8954, 34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643])
deque([34434, 27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609])
deque([27845, 35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129])
deque([35536, 68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846])
deque([68960, 25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537])
deque([25470, 7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961])
deque([7636, 9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471])
deque([9, 37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637])
deque([37204, 37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057])
deque([37339, 22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205])
deque([22294, 62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788])
deque([62187, 11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295])
deque([11381, 63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490])
deque([63604, 43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227])
deque([43214, 24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605])
deque([24486, 748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215])
deque([748, 40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364])
deque([40444, 18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749])
deque([18656, 90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363])
deque([90520, 83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723])
deque([83309, 33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521])
deque([33866, 66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459])
deque([66372, 342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938])
deque([342, 71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373])
deque([71538, 60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343])
deque([60211, 80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539])
deque([80680, 66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212])
deque([66852, 47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681])
deque([47578, 17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853])
deque([17863, 40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579])
deque([40108, 55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864])
deque([55498, 11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109])
deque([11821, 7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499])
deque([7732, 97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822])
deque([97205, 49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733])
deque([49396, 13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206])
deque([13971, 98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397])
deque([98973, 92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972])
deque([92671, 93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974])
deque([93608, 60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672])
deque([60092, 12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609])
deque([12561, 76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093])
deque([76592, 21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562])
deque([21100, 28742, 99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593])
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deque([99736, 31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743])
deque([31490, 26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737])
deque([26367, 35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491])
deque([35641, 13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368])
deque([13294, 93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642])
deque([93793, 46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295])
deque([46364, 95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794])
deque([95124, 53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365])
deque([53521, 23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125])
deque([23775, 51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522])
deque([51595, 73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776])
deque([73873, 74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596])
deque([74765, 42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874])
deque([42856, 88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766])
deque([88465, 44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857])
deque([44126, 88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466])
deque([88010, 25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127])
deque([25946, 49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011])
deque([49725, 32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947])
deque([32159, 62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726])
deque([62504, 62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160])
deque([62109, 16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505])
deque([16728, 86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110])
deque([86807, 74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729])
deque([74155, 90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808])
deque([90257, 34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156])
deque([34873, 43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258])
deque([43504, 95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874])
deque([95334, 48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505])
deque([48644, 91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335])
deque([91290, 23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645])
deque([23303, 31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291])
deque([31728, 90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304])
deque([90836, 98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729])
deque([98721, 86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837])
deque([86181, 71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722])
deque([71319, 78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182])
deque([78625, 60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320])
deque([60156, 60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626])
deque([60207, 25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157])
deque([25193, 18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208])
deque([18585, 5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194])
deque([5909, 50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586])
deque([50770, 54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910])
deque([54611, 54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771])
deque([54728, 36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612])
deque([36737, 4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729])
deque([4456, 97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738])
deque([97303, 64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457])
deque([64368, 29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304])
deque([29207, 61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369])
deque([61774, 4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208])
deque([4197, 39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775])
deque([39265, 71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198])
deque([71764, 26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266])
deque([26163, 88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765])
deque([88595, 27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164])
deque([27493, 44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596])
deque([44788, 91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494])
deque([91813, 22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789])
deque([22633, 95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814])
deque([95760, 22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634])
deque([22491, 36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761])
deque([36869, 36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492])
deque([36059, 31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870])
deque([31243, 92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060])
deque([92182, 12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244])
deque([12505, 3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183])
deque([3350, 55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506])
deque([55293, 13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351])
deque([13197, 62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291])
deque([62849, 91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198])
deque([91046, 52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850])
deque([52950, 92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047])
deque([92820, 1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704])
deque([1650, 57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439])
deque([57894, 65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651])
deque([65931, 72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236])
deque([72239, 41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932])
deque([41698, 57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240])
deque([57215, 10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601])
deque([10271, 32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271])
deque([32094, 69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 10272])
deque([69454, 90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 10272, 32095])
deque([90271, 79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 10272, 32095, 69455])
deque([79356, 97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 10272, 32095, 69455, 90272])
deque([97087, 18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 10272, 32095, 69455, 90272, 79357])
deque([18920, 77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 10272, 32095, 69455, 90272, 79357, 97088])
deque([77259, 6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 10272, 32095, 69455, 90272, 79357, 97088, 18921, 16858, 19010, 45142, 40419, 20747, 36891, 70203, 15430, 81612, 26848, 69028, 86811, 81054, 10332, 47790, 79170, 48245, 18435, 11981, 13587, 69957, 60799, 94564, 56212, 83664, 78531, 32801, 82056, 71696, 72376, 29137, 45580, 35028, 39905, 45201, 62462, 55700, 81440, 65317, 37275, 58956, 30275, 43318, 43260, 45881, 22981, 1824, 14453, 82526, 83170, 6456, 25695, 39721, 23618, 6971, 82742, 29084, 35042, 56868, 44293, 24435, 3874, 35972, 85517, 68184, 20298, 87762, 21729, 72265, 91329, 5767, 14943, 12485, 52101, 72493, 84447, 36989, 38765, 42251, 35059, 35337, 84708, 44586, 73971, 82465, 54609, 66800, 58091, 70954, 43962, 18014, 50176, 76355, 13316, 97957, 98142, 53953, 71966, 29536, 7805, 40072, 46822, 20531, 84506, 92568, 15521, 70880, 32468, 33205, 51884, 76987, 51456, 8472, 23577, 51331, 24502, 2164, 86789, 15190, 15476, 52822, 9456, 16619, 7798, 43832, 66962, 50181, 98498, 91710, 25925, 98978, 40532, 84807, 71909, 94548, 67148, 55379, 48321, 40140, 50039, 74713, 50217, 28181, 17440, 37978, 74858, 8225, 55421, 6219, 77763, 63519, 97038, 17997, 89123, 43261, 49147, 6855, 69294, 49174, 87956, 99228, 5835, 51414, 10244, 92961, 40531, 48041, 37197, 4755, 90429, 45543, 65102, 17284, 39707, 81094, 68036, 9107, 87671, 50902, 23754, 60896, 78604, 86372, 5728, 53519, 33325, 23584, 16148, 70587, 23260, 96869, 28614, 19999, 97960, 62809, 51175, 66022, 9607, 14402, 45904, 72228, 30926, 69481, 739, 82830, 99188, 22099, 1948, 33696, 61808, 29102, 70379, 23168, 66898, 38375, 21305, 49346, 67151, 95485, 88042, 20203, 32190, 82031, 50904, 26631, 37525, 75141, 81037, 58913, 66992, 13867, 49908, 71017, 41703, 44945, 18471, 18367, 34733, 48148, 10544, 41463, 35613, 74312, 93205, 9553, 28093, 9664, 44639, 53975, 25240, 66786, 49063, 17215, 2529, 78659, 83085, 78713, 17765, 95364, 76463, 84207, 39291, 97117, 5730, 38687, 98542, 68336, 48398, 61138, 29081, 83403, 97190, 43025, 16097, 67821, 79023, 50845, 58799, 49444, 38522, 26186, 52297, 24026, 42929, 98655, 3409, 52127, 78104, 80103, 47891, 6003, 77169, 99507, 77850, 48253, 90752, 72162, 36757, 72305, 27762, 30954, 36220, 16932, 52784])
deque([6496, 32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 10272, 32095, 69455, 90272, 79357, 97088, 18921, 16858, 19010, 45142, 40419, 20747, 36891, 70203, 15430, 81612, 26848, 69028, 86811, 81054, 10332, 47790, 79170, 48245, 18435, 11981, 13587, 69957, 60799, 94564, 56212, 83664, 78531, 32801, 82056, 71696, 72376, 29137, 45580, 35028, 39905, 45201, 62462, 55700, 81440, 65317, 37275, 58956, 30275, 43318, 43260, 45881, 22981, 1824, 14453, 82526, 83170, 6456, 25695, 39721, 23618, 6971, 82742, 29084, 35042, 56868, 44293, 24435, 3874, 35972, 85517, 68184, 20298, 87762, 21729, 72265, 91329, 5767, 14943, 12485, 52101, 72493, 84447, 36989, 38765, 42251, 35059, 35337, 84708, 44586, 73971, 82465, 54609, 66800, 58091, 70954, 43962, 18014, 50176, 76355, 13316, 97957, 98142, 53953, 71966, 29536, 7805, 40072, 46822, 20531, 84506, 92568, 15521, 70880, 32468, 33205, 51884, 76987, 51456, 8472, 23577, 51331, 24502, 2164, 86789, 15190, 15476, 52822, 9456, 16619, 7798, 43832, 66962, 50181, 98498, 91710, 25925, 98978, 40532, 84807, 71909, 94548, 67148, 55379, 48321, 40140, 50039, 74713, 50217, 28181, 17440, 37978, 74858, 8225, 55421, 6219, 77763, 63519, 97038, 17997, 89123, 43261, 49147, 6855, 69294, 49174, 87956, 99228, 5835, 51414, 10244, 92961, 40531, 48041, 37197, 4755, 90429, 45543, 65102, 17284, 39707, 81094, 68036, 9107, 87671, 50902, 23754, 60896, 78604, 86372, 5728, 53519, 33325, 23584, 16148, 70587, 23260, 96869, 28614, 19999, 97960, 62809, 51175, 66022, 9607, 14402, 45904, 72228, 30926, 69481, 739, 82830, 99188, 22099, 1948, 33696, 61808, 29102, 70379, 23168, 66898, 38375, 21305, 49346, 67151, 95485, 88042, 20203, 32190, 82031, 50904, 26631, 37525, 75141, 81037, 58913, 66992, 13867, 49908, 71017, 41703, 44945, 18471, 18367, 34733, 48148, 10544, 41463, 35613, 74312, 93205, 9553, 28093, 9664, 44639, 53975, 25240, 66786, 49063, 17215, 2529, 78659, 83085, 78713, 17765, 95364, 76463, 84207, 39291, 97117, 5730, 38687, 98542, 68336, 48398, 61138, 29081, 83403, 97190, 43025, 16097, 67821, 79023, 50845, 58799, 49444, 38522, 26186, 52297, 24026, 42929, 98655, 3409, 52127, 78104, 80103, 47891, 6003, 77169, 99507, 77850, 48253, 90752, 72162, 36757, 72305, 27762, 30954, 36220, 16932, 52784, 77260, 10656, 97838, 49864, 54169, 62754, 10663, 30364, 95578, 90559, 312, 33977, 19390, 73344])
deque([32243, 57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 10272, 32095, 69455, 90272, 79357, 97088, 18921, 16858, 19010, 45142, 40419, 20747, 36891, 70203, 15430, 81612, 26848, 69028, 86811, 81054, 10332, 47790, 79170, 48245, 18435, 11981, 13587, 69957, 60799, 94564, 56212, 83664, 78531, 32801, 82056, 71696, 72376, 29137, 45580, 35028, 39905, 45201, 62462, 55700, 81440, 65317, 37275, 58956, 30275, 43318, 43260, 45881, 22981, 1824, 14453, 82526, 83170, 6456, 25695, 39721, 23618, 6971, 82742, 29084, 35042, 56868, 44293, 24435, 3874, 35972, 85517, 68184, 20298, 87762, 21729, 72265, 91329, 5767, 14943, 12485, 52101, 72493, 84447, 36989, 38765, 42251, 35059, 35337, 84708, 44586, 73971, 82465, 54609, 66800, 58091, 70954, 43962, 18014, 50176, 76355, 13316, 97957, 98142, 53953, 71966, 29536, 7805, 40072, 46822, 20531, 84506, 92568, 15521, 70880, 32468, 33205, 51884, 76987, 51456, 8472, 23577, 51331, 24502, 2164, 86789, 15190, 15476, 52822, 9456, 16619, 7798, 43832, 66962, 50181, 98498, 91710, 25925, 98978, 40532, 84807, 71909, 94548, 67148, 55379, 48321, 40140, 50039, 74713, 50217, 28181, 17440, 37978, 74858, 8225, 55421, 6219, 77763, 63519, 97038, 17997, 89123, 43261, 49147, 6855, 69294, 49174, 87956, 99228, 5835, 51414, 10244, 92961, 40531, 48041, 37197, 4755, 90429, 45543, 65102, 17284, 39707, 81094, 68036, 9107, 87671, 50902, 23754, 60896, 78604, 86372, 5728, 53519, 33325, 23584, 16148, 70587, 23260, 96869, 28614, 19999, 97960, 62809, 51175, 66022, 9607, 14402, 45904, 72228, 30926, 69481, 739, 82830, 99188, 22099, 1948, 33696, 61808, 29102, 70379, 23168, 66898, 38375, 21305, 49346, 67151, 95485, 88042, 20203, 32190, 82031, 50904, 26631, 37525, 75141, 81037, 58913, 66992, 13867, 49908, 71017, 41703, 44945, 18471, 18367, 34733, 48148, 10544, 41463, 35613, 74312, 93205, 9553, 28093, 9664, 44639, 53975, 25240, 66786, 49063, 17215, 2529, 78659, 83085, 78713, 17765, 95364, 76463, 84207, 39291, 97117, 5730, 38687, 98542, 68336, 48398, 61138, 29081, 83403, 97190, 43025, 16097, 67821, 79023, 50845, 58799, 49444, 38522, 26186, 52297, 24026, 42929, 98655, 3409, 52127, 78104, 80103, 47891, 6003, 77169, 99507, 77850, 48253, 90752, 72162, 36757, 72305, 27762, 30954, 36220, 16932, 52784, 77260, 10656, 97838, 49864, 54169, 62754, 10663, 30364, 95578, 90559, 312, 33977, 19390, 73344, 6497])
deque([57162, 10168, 29728, 11132, 13148, 55530, 3361, 75273, 57468, 63643, 8955, 90591, 33609, 34435, 44129, 27846, 35537, 68961, 25471, 7637, 10, 92057, 37205, 37340, 5788, 22295, 62188, 17429, 77490, 11382, 11227, 63605, 43215, 24487, 61535, 42971, 55364, 749, 40445, 72582, 67858, 43130, 56377, 63300, 41279, 21691, 66392, 46705, 6120, 13965, 4582, 25011, 20911, 32055, 87788, 86466, 61806, 52870, 98657, 78819, 72886, 89842, 9489, 5123, 84902, 11474, 24716, 31886, 51571, 91057, 15009, 73860, 48299, 42905, 75667, 41518, 94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 10272, 32095, 69455, 90272, 79357, 97088, 18921, 16858, 19010, 45142, 40419, 20747, 36891, 70203, 15430, 81612, 26848, 69028, 86811, 81054, 10332, 47790, 79170, 48245, 18435, 11981, 13587, 69957, 60799, 94564, 56212, 83664, 78531, 32801, 82056, 71696, 72376, 29137, 45580, 35028, 39905, 45201, 62462, 55700, 81440, 65317, 37275, 58956, 30275, 43318, 43260, 45881, 22981, 1824, 14453, 82526, 83170, 6456, 25695, 39721, 23618, 6971, 82742, 29084, 35042, 56868, 44293, 24435, 3874, 35972, 85517, 68184, 20298, 87762, 21729, 72265, 91329, 5767, 14943, 12485, 52101, 72493, 84447, 36989, 38765, 42251, 35059, 35337, 84708, 44586, 73971, 82465, 54609, 66800, 58091, 70954, 43962, 18014, 50176, 76355, 13316, 97957, 98142, 53953, 71966, 29536, 7805, 40072, 46822, 20531, 84506, 92568, 15521, 70880, 32468, 33205, 51884, 76987, 51456, 8472, 23577, 51331, 24502, 2164, 86789, 15190, 15476, 52822, 9456, 16619, 7798, 43832, 66962, 50181, 98498, 91710, 25925, 98978, 40532, 84807, 71909, 94548, 67148, 55379, 48321, 40140, 50039, 74713, 50217, 28181, 17440, 37978, 74858, 8225, 55421, 6219, 77763, 63519, 97038, 17997, 89123, 43261, 49147, 6855, 69294, 49174, 87956, 99228, 5835, 51414, 10244, 92961, 40531, 48041, 37197, 4755, 90429, 45543, 65102, 17284, 39707, 81094, 68036, 9107, 87671, 50902, 23754, 60896, 78604, 86372, 5728, 53519, 33325, 23584, 16148, 70587, 23260, 96869, 28614, 19999, 97960, 62809, 51175, 66022, 9607, 14402, 45904, 72228, 30926, 69481, 739, 82830, 99188, 22099, 1948, 33696, 61808, 29102, 70379, 23168, 66898, 38375, 21305, 49346, 67151, 95485, 88042, 20203, 32190, 82031, 50904, 26631, 37525, 75141, 81037, 58913, 66992, 13867, 49908, 71017, 41703, 44945, 18471, 18367, 34733, 48148, 10544, 41463, 35613, 74312, 93205, 9553, 28093, 9664, 44639, 53975, 25240, 66786, 49063, 17215, 2529, 78659, 83085, 78713, 17765, 95364, 76463, 84207, 39291, 97117, 5730, 38687, 98542, 68336, 48398, 61138, 29081, 83403, 97190, 43025, 16097, 67821, 79023, 50845, 58799, 49444, 38522, 26186, 52297, 24026, 42929, 98655, 3409, 52127, 78104, 80103, 47891, 6003, 77169, 99507, 77850, 48253, 90752, 72162, 36757, 72305, 27762, 30954, 36220, 16932, 52784, 77260, 10656, 97838, 49864, 54169, 62754, 10663, 30364, 95578, 90559, 312, 33977, 19390, 73344, 6497, 32244, 30361, 76301, 62725, 20971, 45047, 85311, 82648, 4574, 72425, 98408, 33919, 49743, 7873, 93867, 10681, 13210, 46231, 30470, 67403, 43746, 71639, 36908, 19685, 14022, 70213, 6136, 7730, 75072, 83098, 99998, 77150, 68017, 9058, 34280, 13446, 47261, 92413, 88272, 1717, 16508, 19306, 38903, 75291, 78281, 21754])
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deque([94584, 26627, 16363, 18657, 88520, 9861, 84880, 21350, 19965, 81901, 82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 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deque([82656, 9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 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deque([9870, 18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 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deque([18420, 13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 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deque([13231, 76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 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deque([76021, 42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 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deque([42176, 4748, 79411, 50211, 35712, 81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 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deque([81565, 66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 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deque([66011, 36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 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deque([36304, 14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 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deque([14557, 26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 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deque([26333, 54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 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deque([54629, 27355, 87562, 54119, 94580, 39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 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deque([39723, 44130, 61390, 5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 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deque([5850, 22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 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deque([22880, 10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 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deque([10193, 43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 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deque([43961, 83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 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deque([83988, 15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 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deque([15506, 96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 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deque([96216, 34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 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deque([34851, 40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 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deque([40422, 19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 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deque([19966, 81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 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deque([81280, 56391, 56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 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deque([56842, 18210, 25364, 3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 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deque([3428, 44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 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deque([44442, 58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 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deque([58816, 73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 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deque([73301, 97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 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deque([97649, 43029, 99053, 49236, 44502, 97330, 35064, 94319, 41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 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deque([41933, 15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 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deque([15784, 22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 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deque([22631, 20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 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deque([20963, 24093, 80218, 57709, 41237, 12725, 42718, 38527, 34983, 8031, 53910, 79870, 18263, 91524, 81016, 42324, 20350, 5309, 46557, 35433, 28951, 99247, 39020, 87723, 90521, 83310, 61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 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deque([61459, 33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 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deque([33867, 93203, 54912, 68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 10272, 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deque([68938, 66373, 343, 71539, 60212, 80681, 66853, 47579, 17864, 40109, 55499, 11822, 7733, 97206, 49397, 13972, 98974, 92672, 93609, 60093, 12562, 76593, 21101, 28743, 99737, 31491, 26368, 35642, 13295, 93794, 46365, 95125, 53522, 23776, 51596, 73874, 74766, 42857, 88466, 44127, 88011, 25947, 49726, 32160, 62505, 62110, 16729, 86808, 74156, 90258, 34874, 43505, 95335, 48645, 91291, 23304, 31729, 90837, 98722, 86182, 71320, 78626, 60157, 60208, 25194, 18586, 5910, 50771, 54612, 54729, 36738, 4457, 97304, 64369, 29208, 61775, 4198, 39266, 71765, 26164, 88596, 27494, 44789, 91814, 22634, 95761, 22492, 36870, 36060, 31244, 92183, 12506, 3351, 55294, 63370, 82308, 84792, 10885, 77316, 32065, 77395, 44944, 35691, 81277, 6291, 13198, 62850, 91047, 52951, 97704, 92821, 52697, 97509, 91212, 49088, 4639, 70283, 10517, 89374, 20111, 48502, 87997, 27268, 97814, 29439, 1651, 57895, 8725, 39839, 51164, 97214, 64742, 25236, 65932, 72240, 41699, 90601, 57216, 87271, 10272, 32095, 69455, 90272, 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deque([56378, 63301, 41280, 21692, 66393, 46706, 6121, 13966, 4583, 25012, 20912, 32056, 87789, 86467, 61807, 52871, 98658, 78820, 72887, 89843, 9490, 5124, 84903, 11475, 24717, 31887, 51572, 91058, 15010, 73861, 48300, 42906, 75668, 41519, 94585, 26628, 16364, 18658, 23587, 88521, 9862, 84881, 21351, 81902, 82657, 9871, 18421, 13232, 76022, 42177, 4749, 79412, 50212, 35713, 81566, 66012, 36305, 14558, 26334, 54630, 27356, 87563, 54120, 94581, 39724, 44131, 61391, 5851, 22881, 10194, 83989, 15507, 96217, 34852, 40423, 19967, 81281, 56392, 56843, 18211, 25365, 3429, 44443, 58817, 73302, 97650, 43030, 99054, 49237, 44503, 97331, 35065, 94320, 41934, 15785, 22632, 20964, 24094, 80219, 57710, 41238, 12726, 42719, 38528, 34984, 8032, 53911, 79871, 18264, 91525, 81017, 42325, 20351, 5310, 46558, 35434, 28952, 99248, 39021, 87724, 90522, 83311, 32690, 54126, 74972, 61460, 33868, 93204, 54913, 68939, 66374, 344, 37443, 71540, 60213, 80682, 66854, 47580, 36174, 17865, 65270, 82577, 90240, 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deque([82657, 9871, 18421, 13232, 76022, 42177, 4749, 79412, 50212, 35713, 81566, 66012, 36305, 14558, 26334, 54630, 27356, 87563, 54120, 94581, 39724, 44131, 61391, 5851, 22881, 10194, 83989, 15507, 96217, 34852, 40423, 19967, 81281, 56392, 56843, 18211, 25365, 3429, 44443, 58817, 73302, 97650, 43030, 99054, 49237, 44503, 97331, 35065, 94320, 41934, 15785, 22632, 20964, 24094, 80219, 57710, 41238, 12726, 42719, 38528, 34984, 8032, 53911, 79871, 18264, 91525, 81017, 42325, 20351, 5310, 46558, 35434, 28952, 99248, 39021, 87724, 90522, 83311, 32690, 54126, 74972, 61460, 33868, 93204, 54913, 68939, 66374, 344, 37443, 71540, 60213, 80682, 66854, 47580, 36174, 17865, 65270, 82577, 90240, 40110, 59930, 15932, 22946, 20498, 55500, 3864, 11823, 91570, 7734, 97207, 29395, 49398, 15108, 31719, 66790, 13973, 47289, 41832, 76780, 76941, 46405, 98975, 92673, 22824, 93610, 20934, 15552, 6613, 29375, 8856, 64673, 17192, 24649, 96416, 82201, 30087, 66182, 35275, 73725, 4934, 60094, 12563, 30374, 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11