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nan nan nan 81 81 82 84 84 83 79 70 61 55 54 55 56 55 53 49 44 38 39 42 51 62 75 87 95 100 100 100 100 98 94 91 90 88 81 72 60 46 33 22 19 16 15 15 14 13 15 21 34 49 66 81 91 98 99 96 88 74 59 45 33 22 13 6 2 2 4 5 6 6 3 2 1 0 0 0 0 1 1 2 5 8 9 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 13 14 14 13 11 8 7 10 15 20 24 27 24 22 20 19 17 15 14 12 12 13 13 12 10 8 6 3 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 1 1 1 1 1 1 1 2 3 4 6 8 8 8 9 8 8 7 6 5 4 6 10 14 19 21 21 18 14 9 4 1 0 0 0 0 1 2 4 6 9 11 11 12 10 8 6 4 2 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0
nan nan nan nan nan nan nan nan nan nan 66 57 48 45 46 48 51 51 49 47 45 45 50 57 67 76 85 92 97 100 100 100 99 96 93 90 89 87 75 60 41 26 14 7 6 6 8 7 5 4 9 18 29 43 56 70 82 89 84 75 63 50 37 27 17 9 3 0 0 0 0 1 0 0 0 0 0 0 0 0 2 6 11 17 19 20 19 17 15 12 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 11 13 14 14 12 10 7 8 11 14 19 22 22 22 21 21 19 18 20 22 25 31 31 29 24 18 12 7 3 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 1 1 1 2 2 4 5 6 6 7 8 8 8 8 7 6 5 9 14 21 30 35 37 34 29 22 12 5 1 0 0 0 1 1 2 3 4 5 5 6 5 4 3 2 2 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 55 53 50 51 52 52 55 61 69 78 87 93 98 100 100 100 99 95 90 84 75 64 52 40 27 16 7 1 0 1 1 1 1 2 7 14 24 34 46 54 60 57 51 44 38 34 29 21 11 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 16 25 30 32 30 26 22 18 14 10 9 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 8 11 14 15 15 14 12 10 8 9 11 16 19 21 23 23 22 22 25 28 34 43 53 52 48 41 30 20 11 6 3 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 1 2 2 3 4 5 5 6 7 8 8 8 8 7 7 9 14 21 32 38 43 44 40 34 24 16 9 4 1 1 0 0 0 1 1 2 2 2 2 2 2 1 1 1 1 1 1 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 nan nan nan nan nan nan nan nan 55 58 66 74 84 92 97 98 99 100 97 91 83 69 55 40 28 18 9 4 0 0 0 0 0 0 0 2 5 11 16 22 28 29 28 25 23 21 21 19 14 7 1 0 0 0 1 1 1 0 0 0 0 0 0 2 5 10 19 27 34 38 39 34 27 20 14 11 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 11 14 16 16 16 14 12 11 10 10 12 17 20 22 24 26 29 34 40 48 58 65 65 59 51 39 26 14 9 5 3 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 1 2 2 2 3 4 5 6 7 7 7 8 8 7 6 5 4 8 15 23 30 36 40 40 37 33 27 21 16 12 7 4 3 3 3 3 3 3 3 3 2 2 2 1 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 97 98 98 94 86 74 61 45 27 17 9 4 2 1 0 0 0 0 0 0 0 0 1 3 5 7 8 10 12 13 13 11 8 3 1 0 1 1 1 1 1 1 1 1 0 0 0 1 4 8 15 21 27 31 32 30 24 18 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 11 14 17 18 19 19 18 17 15 13 12 14 18 23 28 37 44 48 52 57 65 68 66 59 50 38 26 16 10 7 4 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 1 1 2 2 3 4 5 5 6 6 6 6 5 4 2 3 4 9 15 22 29 37 44 47 47 45 42 37 32 28 25 23 23 23 23 22 22 21 19 16 12 9 6 3 1 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 56 46 36 26 16 9 4 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 2 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 2 6 10 14 18 19 19 16 12 7 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 11 15 19 21 24 25 26 24 22 19 16 14 16 21 28 41 50 56 59 61 63 60 56 50 42 33 24 18 12 9 6 3 1 1 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 0 1 1 1 2 2 3 4 4 4 4 4 3 2 1 1 2 4 9 16 28 40 53 61 67 69 68 65 60 58 56 55 53 51 48 46 43 38 33 26 20 14 9 4 1 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 10 11 10 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 11 15 20 25 29 32 33 32 28 24 19 16 15 19 27 40 49 55 58 57 53 47 42 37 32 28 23 18 13 8 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 2 2 1 0 0 0 1 3 6 14 24 36 48 60 72 78 81 81 80 78 74 68 62 56 51 46 41 34 27 21 14 9 3 1 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 1 1 2 2 2 1 1 1 2 3 5 7 8 10 9 8 7 6 5 3 2 1 0 0 0 0 1 1 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 16 21 27 35 39 41 40 35 30 25 20 17 17 25 35 44 51 54 51 45 35 30 27 24 23 21 18 14 10 6 4 3 2 1 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 1 2 2 2 2 1 1 0 0 0 0 1 2 6 12 19 27 37 47 56 61 63 64 61 56 49 43 37 32 27 23 21 18 15 11 8 3 1 1 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 2 3 4 9 15 20 26 29 26 24 23 22 18 14 12 9 7 5 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 1 3 6 10 16 21 29 37 45 47 47 42 38 33 25 19 16 24 32 40 45 48 47 39 30 24 21 20 20 19 17 14 11 7 6 5 5 4 3 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 1 3 5 8 14 20 26 29 31 31 29 25 18 14 11 10 9 8 9 10 10 9 7 4 2 1 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 35 31 27 24 22 18 14 10 5 2 1 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 1 2 5 8 14 21 28 37 46 51 52 51 47 40 32 23 19 22 28 34 39 41 40 33 28 23 19 18 18 16 15 13 11 9 8 9 8 7 5 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 1 2 4 6 7 8 8 8 6 4 2 2 3 6 8 10 10 10 9 7 4 3 1 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 17 14 11 8 4 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 1 4 7 11 16 24 34 43 50 54 54 51 44 36 27 22 20 24 28 32 34 33 30 26 22 19 18 18 16 14 11 9 9 9 10 10 9 6 3 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 0 0 1 1 1 1 1 1 1 0 0 1 2 5 7 8 8 8 8 6 3 2 2 1 1 1 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 11 18 27 37 45 52 51 48 42 35 27 20 17 19 22 26 28 27 25 23 21 19 18 17 16 13 10 6 6 7 8 8 7 5 3 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 1 1 1 1 1 1 1 1 0 0 0 1 2 4 5 5 5 6 6 4 2 1 1 1 1 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 13 20 29 37 43 43 41 37 31 24 16 15 15 17 21 24 24 23 21 17 16 15 14 13 10 6 3 3 3 4 4 4 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 1 1 1 1 1 1 1 1 1 1 1 0 0 1 2 3 3 3 3 3 2 1 1 1 1 1 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 0 1 2 4 9 15 22 28 32 34 32 29 25 19 13 11 11 13 17 20 20 19 16 12 11 11 10 9 7 4 2 1 1 1 1 2 2 1 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 1 1 1 1 1 2 2 1 1 1 1 1 0 0 1 1 1 1 1 1 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 29 27 25 22 16 12 8 8 9 11 12 13 13 10 7 7 6 6 5 4 2 1 1 0 0 0 1 3 4 5 5 5 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 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 0 1 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 7 5 4 3 2 2 3 2 2 1 1 1 0 1 4 7 11 15 16 16 15 13 10 6 3 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 1 1 2 2 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 3 6 12 19 26 28 28 27 23 18 11 6 3 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 1 1 2 3 3 3 3 4 4 4 3 3 3 2 2 2 2 4 5 6 6 6 6 5 3 2 1 0 0 1 1 2 2 3 3 3 3 2 1 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 2 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 4 4 4 4 4 4 4 4 3 3 3 3 5 9 13 16 19 19 19 15 11 5 3 2 1 1 1 3 3 3 3 3 3 2 1 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 4 4 4 4 4 4 3 3 3 3 3 7 13 20 27 33 37 38 35 26 18 12 8 4 2 1 2 2 3 3 3 2 1 1 0 0