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nan nan 8 7 7 7 9 11 13 15 16 16 16 15 15 14 14 14 15 15 14 14 14 14 13 13 14 14 15 17 18 20 21 21 20 20 19 20 19 19 18 17 16 16 16 16 16 15 15 15 15 16 16 17 18 18 18 18 18 18 18 17 16 15 13 12 11 10 10 11 12 12 13 13 14 15 16 16 16 16 16 15 16 16 17 17 16 15 15 16 17 18 19 20 22 24 26 28 30 31 32 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 34 34 34 34 34 35 35 36 37 37 38 38 38 38 38 38 38 38 38 38 38 39 39 39 38 37 36 36 35 35 36 36 36 37 37 37 37 37 37 37 36 36 36 35 34 34 33 33 34 34 35 36 36 37 37 38 38 38 37 37 38 38 38 38 37 37 37 37 36 36 35 35 35 35 nan nan nan nan 39 40 40 39 39 39 39 39 39 38 37 35 35 34 34 34 35 35 36 37 37 37 37 37 37 37 38 38 38 39 39 39 39 38 37 36 34 32 30 29 27 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 25 25 24 22 21 20 19 18 18 18 18 19 19 19 19 18 17 17 17 17 17 17 17 17 16 16 16 18 18 nan nan nan nan nan nan nan nan nan nan 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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51 51 51 51 50 50 50 50 50 50 49 49 49 49 49 49 49 49 49 48 48 47 46 46 45 44 44 44 44 44 44 45 46 48 54 60 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 61 60 59 58 57 57 56 56 56 56 57 58 59 60 60 60 59 57 56 55 53 52 51 nan nan nan 46 46 45 nan nan nan nan nan nan nan nan nan 53 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 48 nan nan nan nan nan nan nan nan nan 51 nan nan 49 nan nan nan nan nan nan nan 39 39 40 41 42 42 41 40 40 41 42 42 43 43 43 42 42 42 42 42 nan nan nan nan nan nan nan nan 44 nan nan nan nan nan nan nan nan nan nan nan nan 44 45 45 46 46 47 47 47 47 48 48 48 48 48 48 48 49 49 50 50 50 50 50 50 50 50 50 50 50 50 49 49 49 49 50 50 51 51 51 51 51 52 52 52 52 51 51 51 51 51 50 50 50 49 48 47 46 46 46 46 46 46 46 46 45 44 44 43 43 42 42 42 42 42 41 41 41 40 40 39 39 38 38 37 37 37 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nan nan 62 61 60 58 57 56 56 56 55 56 57 58 59 60 61 61 60 59 57 56 55 55 55 54 52 50 49 49 48 47 nan nan nan nan nan nan nan nan 52 53 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 49 nan nan nan nan nan nan nan nan nan 52 50 48 nan nan nan nan nan nan nan nan nan nan 39 39 39 39 39 40 40 41 42 43 43 43 43 43 43 43 43 43 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 45 45 45 46 46 nan nan nan nan nan 48 nan 48 49 49 50 50 50 50 50 49 49 49 49 50 50 50 50 50 50 49 50 50 50 51 51 51 51 51 51 51 51 51 50 50 49 49 49 49 49 49 49 49 48 47 47 47 47 47 47 47 46 46 45 45 44 44 43 42 42 42 42 42 42 41 41 40 40 39 39 38 38 38 38 38 38 38 38 39 39 39 39 39 39 39 39 39 39 38 38 38 38 38 38 38 37 37 37 37 37 37 37 37 36 36 36 36 36 36 35 35 35 35 35 35 35 35 34 34 34 34 34 34 34 34 33 33 33 33 33 33 33 32 32 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 48 46 nan nan nan nan nan nan nan nan nan nan 38 37 37 38 39 40 41 42 43 43 44 44 44 44 44 44 43 43 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 51 50 50 49 49 49 49 49 50 50 50 50 50 50 50 50 50 50 51 51 50 50 50 50 50 49 49 48 48 47 47 47 48 48 47 48 48 47 46 47 48 48 48 47 47 46 46 45 45 44 44 43 43 42 42 42 42 42 42 41 41 40 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 38 38 38 38 38 38 37 37 37 37 37 37 37 37 37 37 36 36 36 36 36 36 36 36 35 35 35 35 35 34 34 34 34 34 34 34 34 33 33 33 33 32 32 32 32 32 32 31 31 31 31 31 31 31 31 31 31 31 31 31 32 32 32 32 32 32 32 32 31 31 31 32 32 32 32 32 32 32 32 32 32 31 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 38 37 37 38 40 41 42 43 43 44 44 44 44 45 44 44 44 43 43 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 50 49 49 49 49 49 50 50 51 51 51 51 51 51 51 51 51 50 50 49 49 49 48 48 47 47 46 46 46 46 46 46 46 46 46 45 45 46 47 47 47 46 46 46 45 45 44 44 43 43 43 43 43 43 43 42 42 41 41 40 39 39 39 39 39 39 39 39 39 39 39 38 38 38 38 38 39 39 39 39 39 38 38 38 38 38 38 37 37 37 37 37 37 37 37 37 37 37 37 36 36 36 36 36 36 35 35 35 35 35 35 35 35 35 35 34 34 34 33 33 33 32 32 32 32 32 31 31 31 31 31 31 31 31 31 31 31 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 33 33 33 33 33 33 33 32 32 32 32 32 32 32 32 32 32 32 33 33 33 32 33 33 33 33 33 33 33 33 33 32 32 31 31 30 30 30 30 30 30 30 30 30 30 30 29 29 29 30 30 30 30 31 31 nan nan nan nan nan nan 34 34 34 34 34 34 34 29 26 26 25 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 15 16 17 17 19 20 nan 23 22 21 21 22 23 24 23 22 20 18 17 17 18 19 21 22 23 23 23 23 22 22 21 20 20 20 20 20 20 20 20 20 19 19 18 18 18 19 19 19 20 20 21 21 21 22 21 21 20 19 19 19 20 21 22 23 23 23 23 23 23 23 24 25 25 25 25 25 26 26 26 26 27 27 27 27 27 28 28 28 28 28 28 28 30 31 32 33 34 34 35 35 36 36 36 36 36 36 36 35 35 35 35 36 36 37 37 37 37 37 37 37 37 37 37 38 38 38 38 38 38 39 38 38 37 37 36 36 36 36 36 36 36 35 35 36 36 37 37 38 38 37 37 36 36 36 36 36 36 35 35 35 35 36 37 38 39 40 40 40 40 40 40 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 35 36 37 38 39 39 39 38 38 38 38 38 38 39 39 39 38 37 37 36 36 36 36 36 36 36 37 37 38 38 38 38 38 36 35 33 32 30 29 29 28 27 27 27 26 26 26 25 25 24 24 23 23 22 22 22 21 21 20 20 19 18 18 18 17 18 17 17 17 17 17 17 17 17 16 15 14 14 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nan nan nan nan nan nan nan nan nan nan nan 18 19 19 19 20 21 21 21 20 20 21 22 22 22 21 20 19 18 19 20 20 22 22 23 23 23 23 23 23 22 21 21 20 20 20 20 20 20 20 20 19 18 18 17 17 18 20 21 22 23 23 23 24 24 23 nan nan 21 nan nan nan nan 25 25 25 24 24 24 24 25 26 26 26 26 27 27 27 27 27 29 30 30 30 30 30 31 31 31 30 30 29 29 30 31 32 33 34 35 36 36 36 37 37 37 37 36 36 35 35 35 36 36 36 36 37 37 37 37 37 37 37 37 37 37 37 38 38 38 39 39 38 37 37 36 36 36 36 36 36 36 36 35 35 35 36 36 37 37 37 36 36 36 37 37 37 37 36 35 35 34 35 36 37 39 40 40 41 41 40 40 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 36 37 38 38 39 38 38 38 38 38 38 38 38 38 37 37 37 36 36 36 36 36 36 36 36 37 37 38 39 39 38 37 35 34 32 31 29 29 28 27 27 27 27 26 26 25 25 24 24 23 23 22 22 22 21 21 21 20 20 19 18 17 17 17 17 17 17 17 16 16 16 16 15 15 14 14 15 16 17 17 17 nan 16 16 16 16 16 16 16 16 17 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 17 18 18 19 19 19 20 nan nan nan nan nan nan nan nan nan nan nan nan 22 24 24 nan nan nan nan nan nan nan nan 25 26 28 28 28 27 26 26 26 27 27 27 42 43 44 46 48 49 49 48 48 48 49 50 51 50 50 50 49 49 48 48 49 49 49 49 49 49 50 50 50 51 51 51 52 52 52 53 53 52 52 51 50 49 49 48 47 47 46 45 45 45 45 45 45 45 nan 44 43 nan nan nan 44 50 55 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 51 51 51 52 54 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 56 55 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 39 41 41 42 42 43 43 44 44 44 44 44 44 44 44 43 43 43 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 48 49 49 49 50 50 50 51 51 52 52 52 51 51 51 50 49 49 48 48 48 48 48 48 47 47 46 46 45 45 45 45 45 45 46 46 45 45 45 44 44 43 43 43 43 43 43 43 43 43 43 43 42 42 41 41 40 40 40 39 39 39 39 39 39 39 39 38 38 38 37 37 37 38 38 38 39 39 39 39 39 38 38 38 38 38 37 37 37 37 37 37 37 37 37 37 37 37 37 37 36 36 35 35 35 36 36 36 36 36 36 36 36 35 35 34 34 34 33 33 33 33 32 32 32 32 32 32 32 32 32 32 32 32 32 33 33 33 33 33 33 33 33 33 33 33 33 33 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 33 33 33 33 33 33 33 34 34 34 34 35 34 34 34 33 33 32 32 32 31 31 31 31 31 31 31 31 31 31 31 31 30 31 31 31 31 31 32 32 33 33 nan nan nan nan nan 34 34 35 35 34 34 33 28 26 25 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 21 20 20 20 nan nan nan nan 19 19 21 21 21 21 20 nan nan 21 22 23 nan nan 24 24 23 23 23 23 23 22 21 21 21 21 21 21 21 20 20 19 18 17 16 16 18 20 22 24 24 25 25 26 nan nan nan nan nan nan nan nan nan nan 26 26 25 24 25 25 26 26 27 27 27 28 28 27 27 28 30 nan 32 32 33 33 33 34 34 33 32 31 30 30 30 31 32 34 35 36 36 37 37 37 37 37 37 36 36 35 35 36 36 36 36 36 36 36 36 37 37 37 37 37 37 37 37 38 38 39 39 38 37 36 36 36 36 36 36 36 36 36 35 35 35 35 35 36 36 36 36 36 37 37 38 38 38 37 36 35 34 34 34 36 37 39 39 40 40 40 39 38 38 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 36 37 37 38 38 38 38 38 38 38 38 38 38 38 37 37 37 36 36 36 36 36 36 36 37 37 38 38 39 39 38 37 36 34 32 31 29 29 28 28 28 27 27 26 26 25 25 25 24 24 23 23 22 22 21 21 21 20 19 18 17 17 16 17 17 17 17 16 16 15 15 15 15 14 14 14 14 15 16 16 16 nan 16 15 15 15 16 15 16 16 16 16 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 17 18 19 19 20 20 nan nan nan nan nan nan nan nan nan nan nan 21 22 23 24 nan nan nan nan nan nan nan 25 26 27 28 28 28 27 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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