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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 40 41 43 44 46 48 50 52 52 52 51 49 47 45 45 46 47 49 50 50 51 50 49 49 49 48 47 47 46 45 44 42 40 38 36 35 36 37 39 39 38 35 34 34 36 38 41 43 44 44 43 42 40 38 38 39 41 43 43 42 38 33 28 27 27 28 28 28 28 29 31 35 38 39 40 40 39 39 37 35 32 29 28 27 27 28 29 30 32 33 34 34 34 33 33 32 31 31 31 32 32 33 34 34 35 35 35 34 32 30 28 28 29 31 34 38 40 41 41 42 42 42 42 42 41 40 41 41 41 42 41 41 40 39 38 38 37 37 37 37 36 36 35 34 34 34 36 38 38 38 37 36 36 36 35 35 34 34 35 35 36 36 36 36 35 35 35 35 35 35 35 35 35 35 34 34 33 32 32 32 32 33 34 34 35 35 35 35 35 35 35 34 34 34 33 33 33 33 34 34 34 34 33 33 32 31 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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nan nan nan nan nan nan 35 39 43 46 48 48 48 47 45 44 nan nan nan nan 43 nan nan nan nan 45 42 41 40 41 nan nan nan 47 49 50 51 51 52 51 50 48 46 44 43 43 43 43 42 41 40 41 42 45 46 47 46 46 47 49 50 52 53 54 54 53 52 51 52 52 52 53 53 53 52 52 51 50 49 48 47 46 45 45 44 43 42 42 42 44 47 50 53 54 54 54 53 51 49 46 45 44 44 44 44 45 45 45 45 45 45 45 45 44 44 43 42 43 44 46 49 51 53 54 55 55 54 53 52 50 48 47 46 45 44 43 42 41 40 39 39 40 41 41 41 41 40 40 42 45 46 47 48 48 49 50 51 50 50 48 47 46 44 44 43 43 43 43 44 46 48 49 49 48 43 38 33 30 29 29 31 32 32 32 31 31 32 34 36 39 41 42 41 40 38 38 38 39 40 40 40 39 38 37 37 36 36 36 36 37 38 39 40 40 39 37 34 31 29 27 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 53 52 52 51 51 51 51 52 53 54 55 55 55 54 53 51 50 49 49 49 49 49 49 48 48 47 47 47 48 49 49 48 48 48 49 50 51 51 51 50 50 50 51 52 52 53 54 56 56 56 56 57 57 57 57 57 56 56 56 56 56 56 56 56 56 56 56 56 55 55 55 55 54 54 53 52 52 51 50 49 49 50 51 51 51 51 52 55 60 58 57 55 53 53 54 55 56 59 60 60 60 60 61 61 62 62 62 63 64 65 65 64 64 63 62 62 61 61 60 60 61 61 62 62 63 63 62 62 61 61 60 60 60 59 59 59 59 60 60 61 62 62 62 62 61 61 60 59 58 57 56 55 54 54 53 52 52 52 53 54 55 56 56 56 57 57 58 58 57 55 54 53 54 56 58 59 57 55 51 51 53 58 61 63 63 62 61 61 62 63 63 63 63 62 62 61 60 60 60 60 60 60 61 62 63 63 63 62 61 60 59 57 54 51 48 50 53 58 60 62 62 62 63 64 64 62 59 56 54 54 57 59 60 58 55 52 49 49 51 55 57 59 59 59 59 60 60 60 60 60 60 60 58 55 51 49 48 51 53 55 54 51 46 45 49 56 63 67 69 68 66 63 58 54 49 46 45 46 50 56 61 64 66 67 66 65 64 62 61 60 60 60 62 63 64 65 65 66 66 65 63 61 60 59 58 58 58 59 59 60 60 60 60 59 58 56 54 52 52 54 54 55 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 37 44 50 54 56 57 57 57 56 56 57 57 58 58 60 61 63 63 63 62 61 61 60 59 58 56 55 54 53 53 53 53 53 53 53 53 53 52 52 52 53 54 55 56 56 56 56 57 59 59 60 60 60 59 58 58 57 57 56 55 54 53 53 53 54 55 56 58 60 61 63 63 63 62 62 62 62 62 61 61 59 58 56 56 56 57 57 58 58 59 59 59 60 60 61 61 61 61 60 60 61 61 61 61 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 33 37 41 42 43 44 43 42 41 40 39 39 38 38 nan 39 40 41 41 40 40 40 40 nan nan nan nan nan nan nan nan 48 49 49 47 45 43 41 41 41 42 42 42 42 41 40 41 42 44 47 48 50 51 52 53 54 54 53 53 54 54 54 54 53 53 52 52 51 50 49 48 48 49 49 48 47 47 46 46 45 44 42 41 42 45 48 51 53 53 52 51 49 47 47 47 47 46 46 46 45 45 44 44 45 46 47 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58 58 57 57 57 58 59 59 60 60 60 60 61 61 61 61 61 60 60 60 60 60 60 60 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 35 38 41 42 42 41 41 40 40 40 40 39 39 38 38 37 37 38 38 39 39 40 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 41 42 43 43 43 42 40 39 38 39 40 42 44 45 47 48 50 51 52 52 53 54 54 54 54 53 52 50 49 48 48 48 50 50 51 50 50 50 50 49 48 46 44 42 41 43 46 49 51 53 53 53 53 53 52 51 50 49 48 47 46 45 45 47 48 50 51 52 52 52 51 51 50 48 46 46 46 48 51 53 53 52 51 49 48 46 46 45 44 42 41 40 39 40 40 40 40 39 41 44 46 47 46 45 43 44 45 47 48 49 49 48 47 46 45 44 43 43 42 42 42 43 45 47 48 49 49 48 46 44 42 39 36 33 31 29 28 28 29 30 33 35 38 40 43 44 44 43 42 40 38 36 35 35 35 35 34 32 29 27 26 24 24 24 25 27 28 29 29 28 26 25 24 24 24 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 55 55 55 55 55 55 55 55 55 55 54 54 53 52 52 52 52 52 51 51 51 51 51 50 49 47 46 45 45 44 45 45 46 46 46 46 46 46 45 45 44 44 44 46 47 48 48 49 50 52 55 57 58 59 58 58 58 57 58 58 58 58 57 57 56 56 56 56 56 55 55 56 57 57 57 57 56 55 54 53 52 52 52 53 53 54 54 54 55 56 58 60 61 61 60 57 54 53 54 57 60 61 61 62 63 64 64 64 64 64 65 65 65 66 65 65 64 62 61 61 61 61 62 63 64 64 64 64 63 63 63 63 62 62 62 62 62 62 62 62 62 62 62 62 62 61 60 59 59 59 58 58 57 57 56 56 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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 38 40 41 42 42 41 40 40 39 39 39 38 38 38 38 38 38 39 40 40 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 44 44 44 42 41 39 39 38 40 41 43 45 47 49 51 53 54 55 56 56 56 55 53 51 50 48 48 49 51 51 52 52 52 52 52 51 50 49 47 45 43 42 43 46 49 52 54 54 55 55 55 54 53 51 50 48 47 46 46 47 49 50 51 52 52 52 52 52 51 50 48 46 45 43 45 47 50 51 51 50 48 47 46 45 44 43 41 40 38 38 38 38 38 38 37 39 41 43 45 44 43 41 40 42 44 46 47 47 47 47 46 46 45 44 43 43 44 45 47 48 49 50 49 49 47 46 43 41 37 34 31 30 29 29 30 30 30 31 33 35 39 41 43 43 43 41 39 37 34 33 33 33 34 33 31 28 26 24 23 23 24 25 27 28 28 27 27 25 24 23 23 23 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 56 56 56 56 56 56 57 57 56 56 54 53 53 52 52 52 52 52 nan nan nan nan 50 49 47 46 45 45 45 45 46 46 45 45 45 44 44 43 42 43 43 45 47 48 48 49 50 53 55 57 59 59 59 58 58 57 57 58 58 58 58 57 57 57 57 57 57 56 56 56 57 58 59 58 58 57 56 54 53 52 52 53 54 55 55 55 55 55 56 58 60 62 61 59 56 54 54 56 58 60 61 62 63 64 64 64 64 64 65 66 66 66 66 66 65 64 63 62 62 62 62 63 64 64 65 64 64 64 64 64 63 63 63 64 63 63 63 63 63 63 62 62 61 61 60 59 59 59 58 58 57 57 57 57 57 56 56 56 55 55 54 54 54 54 54 54 53 52 52 52 52 52 52 52 54 57 59 60 57 52 50 53 61 69 69 65 60 57 56 57 60 63 66 68 67 66 64 62 61 61 60 60 60 59 59 60 60 60 59 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38 38 38 38 38 38 38 39 40 41 42 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 46 46 46 46 45 43 42 41 42 43 44 47 49 51 53 55 57 57 58 58 57 56 55 53 52 51 52 52 53 54 54 54 54 53 53 52 51 50 48 46 43 42 43 46 50 53 55 56 56 57 56 55 54 52 51 49 48 48 48 49 51 52 52 51 51 51 51 51 50 50 48 46 44 42 42 43 46 48 49 50 49 48 47 46 44 42 40 38 37 37 37 37 36 36 35 36 37 39 41 41 39 36 35 35 39 42 45 46 47 47 47 46 45 45 45 45 47 48 49 50 50 49 48 47 46 44 42 39 36 32 30 29 29 30 30 31 31 31 32 34 37 39 41 42 41 40 37 35 33 32 32 33 33 32 30 27 25 24 24 24 26 27 27 27 27 26 26 25 24 23 23 24 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 58 58 58 59 60 60 60 59 58 56 54 53 nan nan nan nan nan nan nan nan nan nan 51 50 49 48 48 48 47 46 46 46 45 45 43 41 39 39 40 41 42 43 44 46 49 52 54 56 57 58 58 59 58 57 57 57 57 58 59 59 59 59 59 60 59 59 58 58 58 59 59 60 59 58 57 57 55 54 53 53 55 55 56 57 56 56 55 57 58 61 61 61 60 58 57 57 58 59 59 60 61 63 64 64 64 64 64 65 66 67 67 67 67 66 65 63 62 62 62 63 63 64 65 65 65 66 66 66 66 66 67 67 66 66 65 65 65 65 64 63 62 61 60 60 60 59 58 58 58 58 58 58 57 57 56 55 55 55 55 54 54 53 53 53 53 52 52 52 52 52 52 53 55 56 58 58 59 58 57 57 60 64 67 68 66 63 58 54 51 51 55 61 68 72 71 67 64 62 61 61 61 60 60 59 59 58 58 58 58 58 58 58 58 57 56 56 56 57 58 59 59 59 58 58 58 59 59 60 60 61 61 62 61 60 58 56 56 57 59 61 62 63 64 64 64 62 61 60 60 60 59 58 56 53 52 52 53 53 51 48 44 43 44 47 52 55 58 60 60 59 59 58 58 56 52 46 43 43 49 57 65 72 75 75 72 68 66 67 68 69 69 69 70 71 73 74 75 73 71 68 66 64 62 61 60 59 60 61 62 62 61 60 57 55 55 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 45 56 59 61 61 60 60 59 59 60 60 61 61 60 61 61 62 64 66 68 68 68 67 65 62 59 58 56 56 55 55 55 54 54 53 53 53 53 54 54 55 56 57 58 59 60 61 62 62 62 62 62 62 61 60 59 59 58 58 57 57 56 56 56 56 57 58 59 59 60 61 61 62 62 63 63 64 64 64 63 63 63 62 61 60 60 60 60 61 60 60 59 58 58 58 59 59 60 60 60 60 61 61 61 61 61 62 62 62 62 61 61 60 60 60 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 43 41 39 37 36 36 39 41 44 45 46 47 47 47 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 46 48 49 50 50 50 51 51 52 53 54 55 57 58 60 61 61 60 59 59 58 58 58 58 59 60 60 60 60 60 59 59 58 57 56 55 53 51 48 45 43 44 47 51 54 56 55 55 54 55 55 54 53 52 51 51 51 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nan 62 62 61 61 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 64 64 65 66 67 68 68 68 67 66 65 65 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 59 59 58 58 57 56 56 55 56 56 57 57 58 58 59 60 60 61 61 62 nan nan nan nan nan nan nan nan nan nan nan nan 60 60 59 59 58 57 56 56 56 56 56 56 55 55 54 54 54 54 55 55 55 55 55 55 55 54 54 54 55 55 56 56 56 56 55 55 54 53 52 51 50 50 49 49 nan nan nan nan nan nan 48 nan nan nan nan nan nan nan nan 52 51 51 51 51 50 nan nan nan nan nan nan 51 55 58 58 57 56 55 54 54 55 56 56 57 58 58 58 57 57 57 56 55 55 55 55 55 55 54 54 54 55 55 54 nan 52 55 58 62 63 63 61 59 57 56 54 54 56 58 60 61 61 61 61 60 60 60 60 60 60 59 59 57 56 55 54 53 52 51 50 50 49 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 44 42 40 38 37 38 40 40 40 38 35 33 32 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 35 41 46 48 47 44 44 46 49 49 47 44 40 39 37 36 33 28 24 22 25 28 31 29 24 17 15 nan nan 33 38 39 35 nan nan nan nan 37 44 50 50 46 42 40 41 41 41 40 38 34 29 26 31 39 47 50 50 48 45 43 43 43 43 42 40 38 37 36 36 36 36 36 36 36 36 36 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 47 48 49 50 52 52 53 53 54 54 54 54 55 55 57 58 59 59 59 59 59 59 59 59 58 57 56 55 54 54 54 55 55 56 56 56 55 55 55 54 54 54 54 54 54 54 53 53 52 52 52 52 51 51 51 52 52 53 53 54 54 54 54 55 55 56 57 58 58 59 60 61 61 61 61 61 61 61 60 59 58 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66 67 68 68 68 67 66 66 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 59 59 58 57 55 54 54 54 54 55 56 57 57 58 59 60 60 60 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 59 59 59 58 57 57 56 56 56 56 56 56 55 55 54 54 54 54 54 55 55 55 55 55 55 55 55 55 56 56 57 57 57 57 56 56 56 55 54 53 52 52 52 52 51 50 49 47 47 47 49 51 53 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 58 62 64 63 61 58 56 55 55 56 56 57 57 57 57 56 56 57 56 56 56 56 56 56 55 54 53 52 52 52 52 51 50 51 54 59 62 63 63 61 59 56 54 52 52 55 58 61 62 63 62 61 60 59 58 58 59 59 58 57 56 54 52 51 50 49 49 48 49 49 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 46 43 nan 38 38 38 40 42 43 41 nan 34 33 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 34 38 44 48 49 45 43 42 45 47 47 44 40 37 36 35 34 31 25 20 17 20 24 27 26 23 17 19 nan nan 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