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3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 3 4 6 8 7 7 6 7 8 8 7 6 6 8 14 23 25 25 21 18 15 14 13 14 15 15 14 12 10 8 6 4 3 3 3 4 4 4 5 6 7 8 9 10 10 11 11 10 10 9 8 8 7 7 7 8 8 10 12 15 17 18 18 17 16 16 17 18 18 19 19 19 20 23 24 24 20 15 17 23 33 41 48 49 48 46 44 44 44 45 45 45 47 48 49 45 40 39 38 38 36 34 30 27 27 29 32 33 33 32 30 28 26 24 24 23 23 23 23 22 21 20 19 19 19 19 18 18 18 19 20 21 21 19 16 15 15 14 16 17 18 18 17 14 11 8 6 6 7 9 13 16 16 16 15 13 12 12 12 13 13 11 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 11 9 8 8 8 8 8 8 9 10 11 11 11 11 12 12 12 12 11 11 12 12 11 11 10 8 7 6 6 6 6 6 5 5 4 5 5 6 7 7 7 7 7 8 8 8 7 7 7 6 6 5 5 5 4 5 6 7 7 7 7 7 6 6 5 4 4 4 4 6 9 8 8 7 7 8 8 9 8 7 5 4 4 4 5 6 7 8 8 8 8 8 8 7 7 8 8 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 3 3 2 3 3 4 4 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 1 0 1 3 5 6 6 5 4 4 5 10 14 17 17 14 11 9 8 7 6 5 4 5 6 10 13 11 9 6 5 4 6 7 9 9 8 6 4 2 2 2 2 2 2 3 3 3 4 5 6 7 7 8 8 8 8 8 9 10 10 10 10 8 7 6 6 7 7 8 9 10 11 14 16 16 16 14 13 12 10 9 9 10 14 17 19 14 8 4 3 5 10 16 37 49 45 45 43 41 38 38 37 37 39 43 50 54 55 51 45 40 36 31 29 30 32 33 35 35 35 33 30 27 26 28 29 30 26 20 16 12 12 13 15 17 18 17 16 16 16 16 16 16 15 14 15 15 15 14 13 12 12 12 13 14 12 11 11 10 9 10 12 11 10 9 9 9 9 10 10 11 11 12 12 11 11 11 11 12 13 13 12 12 11 11 11 12 12 13 13 12 12 11 11 11 10 9 8 6 5 5 5 5 5 5 5 5 5 6 8 9 11 12 12 11 10 9 8 7 6 6 6 5 5 5 5 5 6 5 5 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 2 3 4 4 5 4 4 3 3 3 3 4 4 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nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 4 5 3 5 7 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 2 1 1 5 10 17 20 22 17 12 8 5 5 5 4 4 5 7 9 11 9 6 5 4 5 6 6 8 8 7 4 1 0 0 0 1 1 1 1 2 2 2 3 3 4 5 6 7 8 9 10 11 10 10 9 9 9 8 8 8 8 9 10 10 11 11 12 14 16 18 17 16 14 13 12 12 13 17 21 25 25 22 17 12 11 11 13 18 27 34 38 31 29 35 37 36 36 37 39 44 52 56 58 54 48 40 34 30 30 31 32 31 29 28 28 29 29 28 28 28 28 27 22 16 12 11 11 14 16 19 19 18 16 14 13 13 14 14 14 15 15 15 14 13 12 11 12 12 13 13 12 11 10 10 11 12 12 11 11 10 10 7 5 7 9 10 10 11 12 12 12 12 11 11 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 9 7 6 6 6 6 6 5 5 4 4 5 6 8 8 9 10 11 11 11 10 9 8 7 6 5 5 5 5 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 4 4 4 4 4 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