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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 49 51 51 51 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 37 36 36 35 35 35 35 36 37 38 38 39 39 39 39 42 46 50 53 54 53 52 50 48 46 44 41 41 41 43 44 45 46 46 47 47 48 48 49 49 50 51 51 52 52 52 53 53 54 54 55 56 57 57 57 57 57 57 58 58 59 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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 48 nan nan nan nan nan nan 42 40 39 39 38 38 38 39 40 40 41 41 42 44 48 52 54 55 55 51 49 47 47 47 47 47 46 46 45 45 45 45 46 47 48 49 49 49 49 49 50 52 53 53 54 54 53 52 52 53 55 56 57 60 61 59 61 63 65 64 64 63 62 60 59 57 56 55 56 56 56 57 57 58 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 80 80 80 80 79 78 78 79 80 81 80 79 76 72 68 64 62 62 63 65 68 69 68 65 61 57 55 54 56 59 62 62 62 61 61 63 65 68 69 70 69 69 69 69 69 70 70 71 71 72 73 73 73 73 72 71 70 69 69 68 68 67 67 66 66 65 65 64 63 62 61 60 59 59 59 59 59 60 61 62 62 63 63 63 63 64 64 65 65 65 65 64 64 64 63 63 63 63 63 63 63 62 62 62 62 62 62 63 63 63 63 63 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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 40 40 40 41 42 43 44 44 46 48 52 55 56 55 51 48 46 45 45 45 45 45 46 46 46 46 47 49 51 52 52 51 47 47 47 49 50 52 52 53 53 52 52 52 53 54 55 56 61 63 64 64 64 64 64 63 62 61 60 59 56 55 54 56 56 57 57 57 58 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 78 78 78 78 78 78 77 75 73 68 64 59 55 53 52 51 52 53 54 56 58 59 58 57 56 56 56 59 61 62 62 61 60 60 61 63 65 67 68 69 68 68 68 68 68 69 70 71 71 72 72 73 72 72 71 70 69 69 68 68 68 67 67 66 66 65 65 64 63 63 62 61 60 60 60 61 61 61 61 61 61 61 61 62 62 63 63 63 63 62 62 62 62 62 62 62 63 63 63 63 63 63 63 63 63 63 63 63 63 63 63 63 63 62 62 62 61 61 61 61 62 62 62 62 62 62 61 60 60 59 58 58 58 58 58 59 59 59 59 59 59 58 58 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 71 72 72 72 72 70 69 68 68 69 70 71 72 72 73 74 75 74 74 73 73 72 71 71 71 72 72 71 71 70 69 69 68 68 66 64 62 60 58 56 56 56 56 55 53 51 50 50 52 53 54 54 55 55 56 57 57 58 58 59 60 60 61 61 61 60 59 59 58 56 54 51 49 48 48 48 49 48 48 47 46 45 44 44 43 42 42 42 43 44 44 43 42 41 40 38 36 35 36 38 41 45 49 50 51 50 50 50 50 50 51 53 55 57 58 58 58 57 56 54 54 54 54 54 55 55 56 55 54 53 53 53 54 54 55 55 54 53 52 51 50 49 48 48 47 46 45 43 42 40 39 39 38 38 39 40 42 43 44 45 45 44 43 42 40 40 39 38 37 36 34 33 32 31 31 31 30 29 28 27 27 27 26 26 26 26 26 25 24 24 27 32 37 40 42 43 43 43 43 44 45 48 49 51 53 55 57 57 57 57 57 56 55 53 49 46 43 41 39 36 33 31 29 27 25 25 24 24 24 24 24 24 24 24 24 23 23 23 22 22 22 22 23 23 23 24 24 24 25 26 27 28 29 30 31 31 32 33 33 33 33 33 33 33 33 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nan nan nan nan nan nan nan 41 41 42 43 44 44 45 46 48 51 54 55 54 48 46 45 45 45 45 45 45 46 46 47 47 48 49 52 56 55 52 47 47 48 49 51 53 55 53 53 53 53 53 53 53 54 55 57 61 63 63 63 63 62 61 60 60 59 58 57 56 56 57 57 57 57 57 58 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 75 71 68 63 60 56 53 52 51 51 52 52 52 53 53 54 54 54 55 57 59 61 62 63 63 62 61 61 61 62 63 65 66 67 67 67 68 68 69 69 70 71 71 72 72 72 72 71 71 70 69 68 68 68 67 67 67 66 66 65 65 64 64 64 63 62 62 62 63 63 63 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 61 61 62 62 62 62 62 63 63 62 62 62 62 62 62 62 62 62 62 62 62 62 61 61 61 61 61 61 62 62 62 62 62 62 61 60 59 59 58 58 58 58 58 58 59 59 59 59 58 58 57 nan nan nan nan nan nan nan nan nan nan nan nan 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 nan nan 70 71 71 72 72 72 73 73 73 73 73 73 73 73 72 70 68 67 67 67 67 68 68 68 69 69 69 69 69 69 68 66 64 63 62 61 60 59 57 56 56 55 54 52 51 52 53 55 56 56 55 55 54 54 54 55 56 57 57 58 58 58 58 58 58 57 56 55 54 52 51 49 48 48 47 46 46 45 44 43 43 42 42 42 42 42 42 43 43 44 44 45 45 46 46 47 48 49 49 48 46 44 42 42 44 48 52 55 57 59 60 61 60 59 58 56 54 52 51 51 52 54 55 56 56 55 53 52 52 52 54 55 55 55 53 52 50 49 48 48 48 47 47 47 46 45 44 43 42 41 41 40 40 40 41 42 43 44 45 45 46 46 46 46 45 43 41 38 35 32 30 30 29 29 29 30 31 31 30 29 27 26 25 24 23 24 26 30 34 38 40 43 45 46 47 47 47 48 50 52 54 56 57 58 59 58 57 55 53 51 49 47 46 44 43 41 39 38 36 34 32 30 27 26 25 26 26 26 26 25 25 25 24 24 24 24 24 24 25 25 25 25 25 25 25 26 27 28 29 30 31 32 32 33 34 34 34 33 33 33 33 33 32 32 32 32 31 31 30 30 30 30 29 30 31 31 31 32 32 32 32 31 31 31 31 31 31 31 31 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 31 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