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nan 15 15 17 18 19 18 16 15 13 12 13 13 13 13 12 12 13 13 14 15 16 17 18 20 21 20 18 17 17 16 16 16 16 16 15 15 15 15 15 15 14 14 14 13 13 13 14 14 13 14 14 14 14 14 15 15 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 16 16 16 16 17 17 17 17 17 18 18 18 18 18 17 17 17 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 13 13 13 12 10 7 nan
nan 15 16 17 17 16 15 15 14 13 12 12 13 12 12 12 12 13 14 15 15 16 17 17 18 18 18 17 16 16 16 15 15 14 14 14 14 14 13 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 14 14 14 14 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 13 12 12 12 12 11 8 7 6 6 5 nan
nan 15 16 16 16 15 15 14 13 12 12 12 12 12 13 13 13 13 14 15 15 16 16 16 17 17 17 16 16 15 16 15 15 15 15 15 14 14 14 15 15 15 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 16 16 16 15 15 14 14 14 14 14 13 12 10 8 7 7 8 10 11 11 13 16 17 nan
nan 16 15 15 15 14 13 12 11 12 12 12 12 12 12 13 13 13 14 15 16 16 17 18 18 17 16 15 15 15 15 15 15 15 15 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 15 15 15 15 15 15 15 16 16 16 16 16 15 14 14 13 13 12 12 11 10 10 10 10 10 11 11 12 12 13 14 15 16 17 nan
nan 15 15 13 13 12 11 12 12 12 12 12 12 12 12 13 14 15 15 15 16 18 18 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 15 15 14 14 13 12 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
2 2 3 3 4 4 5 7 12 15 16 27 27 36 36 39 43 57 47 57 57 54 65 57 65 83 61 58 62 57 65 65 66 64 64 69 69 69 74 69 77 89 92 89 82 89 103 68 63 67 69 59 45 59 69 70 74 32 31 65 64 56 55 61 62 58 57 49 56 37 52 51 34 38 29 40 42 39 47 48 58 61 61 55 51 44 36 31 20 28 27 30 27 32 39 42 35 37 37 44 37 29 46 50 44 45 44 45 69 84 115 110 144 7 99 75 52 38 23
2 3 4 5 5 5 6 10 10 16 27 31 30 34 35 31 58 45 63 57 47 59 69 72 73 67 68 73 59 62 62 69 66 61 61 63 61 61 64 64 71 68 77 81 85 99 80 101 103 88 75 91 95 82 66 52 31 29 38 67 85 60 57 61 49 49 43 28 32 42 46 36 40 44 37 37 42 42 45 28 40 40 51 34 34 35 36 42 45 47 39 33 28 31 33 37 36 35 38 41 41 34 43 49 45 51 75 68 68 79 93 110 230 73 4 78 50 30 17
4 6 6 7 6 10 13 13 18 23 23 25 27 31 39 51 60 61 63 53 62 64 81 70 65 85 86 66 68 59 67 71 66 65 58 56 55 60 49 53 60 61 75 76 81 91 88 73 97 123 105 105 109 98 68 53 43 52 62 77 81 80 61 59 69 53 52 40 46 41 27 36 51 39 49 46 36 41 34 41 39 38 38 22 24 26 39 50 45 44 31 38 38 28 29 32 34 37 45 40 60 36 42 37 81 78 85 82 69 74 75 112 190 101 86 89 67 35 13
3 3 4 6 8 12 13 12 12 11 20 23 34 36 42 65 59 48 48 59 60 73 83 74 84 89 90 70 69 71 68 60 57 58 57 64 73 64 62 78 103 95 66 74 82 73 97 74 126 56 139 111 113 86 87 78 66 64 57 66 76 82 79 59 62 58 65 55 50 43 43 50 43 35 33 27 38 25 30 28 38 36 30 30 38 32 36 42 39 49 29 27 22 24 36 29 70 47 52 70 43 36 61 62 82 87 85 87 87 76 62 91 188 86 108 101 108 40 21
1 1 3 2 7 6 7 7 8 16 18 29 39 44 59 65 40 51 58 48 60 66 74 71 82 83 89 74 70 58 55 54 55 71 72 68 80 124 104 109 99 89 78 78 139 115 75 93 97 108 109 114 106 111 107 91 82 69 62 45 71 80 82 72 61 56 53 70 61 49 48 45 38 51 40 41 40 41 48 20 38 35 25 27 35 45 45 36 37 33 31 32 23 21 24 50 71 68 66 59 53 77 96 94 78 73 64 79 89 79 75 89 183 48 83 102 79 41 13
0 2 2 2 8 5 10 16 17 12 18 33 38 36 55 46 40 53 42 45 60 74 78 85 88 91 71 72 93 74 59 59 65 61 59 62 122 130 122 78 91 108 83 77 83 48 42 63 114 94 53 82 112 116 111 107 95 83 69 56 61 70 99 82 70 55 53 65 84 65 57 59 54 43 51 50 41 33 30 33 34 43 26 44 42 50 46 45 23 28 40 36 40 41 47 62 59 59 68 54 77 89 92 90 68 51 60 69 78 72 88 94 125 87 58 68 98 44 18
5 2 1 2 7 11 11 19 14 11 23 34 30 39 49 45 40 38 43 60 67 96 73 79 87 108 93 93 94 79 67 48 54 58 60 98 125 112 105 101 123 86 59 56 91 47 61 84 64 54 50 83 105 114 113 111 104 72 40 35 43 67 103 88 73 55 53 60 60 63 59 63 67 74 68 59 63 63 51 43 37 35 40 53 59 50 45 38 38 29 35 39 40 39 48 38 43 58 62 73 77 84 76 54 38 46 48 51 66 65 79 103 126 144 51 52 43 47 24
2 4 4 9 8 7 13 27 15 17 29 27 28 44 36 42 42 44 62 67 72 72 105 97 101 95 99 87 81 66 56 44 44 68 84 110 108 103 80 90 66 68 56 74 81 66 51 49 64 73 80 109 116 121 116 92 91 91 86 79 76 76 103 90 83 66 56 59 68 58 67 60 63 72 79 73 79 61 44 51 34 29 16 45 61 41 16 16 24 22 22 32 31 38 40 32 48 60 70 72 77 69 50 38 41 32 43 48 43 42 75 99 113 98 76 33 48 46 5
3 2 3 3 4 8 14 20 16 22 21 20 33 39 29 35 42 50 56 59 60 80 93 77 75 80 89 84 67 46 36 51 82 93 97 97 98 79 57 60 79 58 56 62 62 52 48 64 60 55 74 86 97 72 75 81 78 76 81 84 88 90 107 96 82 70 59 63 65 59 60 66 66 71 86 81 77 68 74 68 56 52 65 64 25 40 31 17 20 17 14 24 32 36 37 35 49 64 68 75 72 45 32 38 28 43 40 51 49 59 85 101 159 90 55 60 33 41 20
2 2 3 4 7 10 23 22 18 28 28 37 47 29 33 33 35 49 64 64 68 75 83 70 81 96 79 52 43 34 38 84 77 92 86 93 57 41 69 111 48 72 104 97 57 14 25 66 54 70 72 52 50 60 58 55 72 76 103 109 103 111 117 105 83 67 57 59 60 68 74 60 70 66 69 65 68 63 62 55 53 35 30 24 39 20 10 9 15 20 22 30 27 21 40 48 61 66 68 66 52 37 35 28 24 30 34 43 55 70 84 91 67 25 21 36 148 68 35
0 1 2 4 10 20 19 16 12 13 32 54 31 38 37 34 33 69 52 82 67 63 64 64 78 72 65 47 53 49 68 73 67 90 71 44 28 82 48 35 76 93 55 48 54 29 40 59 51 55 57 54 49 59 63 74 73 104 101 76 80 121 117 110 84 68 57 60 57 55 60 63 58 62 57 57 57 49 56 67 70 50 35 31 12 9 9 9 16 17 19 18 12 18 49 61 67 65 59 56 43 34 22 13 25 28 22 33 48 52 60 56 3 23 4 11 139 52 45
0 1 3 14 27 28 32 20 11 15 24 28 31 50 59 44 76 54 64 90 66 61 74 74 73 64 93 55 45 57 71 67 90 73 47 35 38 87 95 44 30 25 37 31 42 38 39 44 43 45 50 49 46 57 56 46 66 61 71 69 71 65 83 90 93 76 71 63 55 46 65 76 66 60 48 50 56 53 62 64 23 11 9 9 9 7 7 10 13 17 21 23 35 49 63 66 63 58 53 41 30 20 19 20 31 27 31 34 45 47 44 16 21 89 4 51 57 95 64
1 3 19 23 27 38 45 34 28 29 31 26 38 48 61 64 62 80 89 70 62 71 73 66 107 88 63 48 48 68 55 76 79 53 38 28 79 56 71 28 57 25 28 24 29 27 28 24 22 40 36 39 31 37 29 31 30 26 33 53 65 73 74 67 72 82 78 64 36 47 57 65 53 58 55 55 62 70 59 11 10 7 5 4 3 3 3 5 13 21 27 37 51 63 62 59 52 48 46 27 23 21 32 28 32 36 45 55 55 45 33 6 31 0 11 107 43 69 55
6 17 20 20 29 44 44 37 40 50 39 31 44 51 50 60 75 88 99 83 66 83 120 69 79 62 58 33 63 42 49 68 58 46 31 39 70 45 8 41 22 22 9 13 11 19 23 4 2 18 26 39 30 30 35 25 27 40 34 33 58 59 61 61 60 66 68 67 51 44 51 61 74 100 77 2 4 5 6 9 11 4 2 1 2 2 2 12 24 33 46 58 57 55 52 47 40 40 35 23 21 26 32 25 35 47 51 64 32 0 2 16 15 0 6 6 57 59 29
11 16 19 22 32 49 45 35 42 54 32 20 35 42 53 28 75 78 83 80 82 73 111 85 55 62 24 57 63 50 72 68 61 32 34 33 62 65 26 34 21 28 17 20 7 9 5 8 6 24 16 23 17 16 43 45 24 29 25 31 41 21 43 46 50 48 56 41 39 19 36 37 20 9 10 7 8 4 3 1 1 0 1 1 2 2 21 38 48 50 48 44 43 46 38 29 27 28 18 20 21 18 32 32 54 48 53 3 1 15 18 22 4 3 26 77 59 17 7
7 10 12 19 30 48 32 21 24 50 22 20 25 34 18 46 47 55 42 44 61 98 76 86 68 38 45 59 61 59 68 66 48 22 24 33 24 50 32 36 24 10 13 13 33 20 11 11 0 0 5 4 25 16 45 43 18 24 17 32 42 16 17 26 21 38 42 27 38 29 18 14 8 4 1 0 0 0 0 0 0 0 1 2 17 23 33 44 45 41 39 39 36 31 25 21 18 11 6 10 16 6 37 41 99 51 12 0 14 14 3 4 20 37 35 7 3 10 0
2 3 5 8 21 17 5 19 48 37 17 15 21 15 21 26 29 34 38 39 61 81 89 60 49 20 56 59 49 54 64 45 37 20 15 28 30 37 34 29 20 19 21 11 10 18 9 7 14 4 12 15 19 29 16 32 9 12 14 19 12 21 44 15 27 19 9 12 13 22 13 4 0 0 0 0 0 0 0 0 1 3 9 9 17 25 30 36 39 36 34 33 27 21 16 20 27 24 11 12 25 4 49 53 22 0 13 3 2 9 4 16 24 20 6 28 15 18 0
1 3 5 10 14 2 14 19 44 20 15 16 14 13 21 25 29 36 39 39 37 36 42 73 19 42 53 53 26 62 58 48 28 24 17 35 10 35 29 15 19 13 18 9 23 11 21 21 4 11 17 15 10 11 11 14 6 22 23 12 12 15 14 14 17 18 20 17 10 1 0 0 0 0 0 0 0 0 2 9 9 18 19 12 14 25 30 32 30 21 18 18 14 8 5 17 31 34 23 22 23 8 57 27 13 9 3 7 12 10 5 6 3 2 7 4 9 9 0
2 4 7 10 14 10 16 26 23 18 10 6 4 11 19 24 26 33 36 36 30 27 28 23 17 46 44 42 30 53 46 37 29 19 21 25 18 18 24 22 10 17 17 24 7 14 13 13 7 5 11 14 28 17 19 24 14 15 19 21 22 22 23 21 12 4 1 1 0 0 0 0 0 0 0 1 7 14 20 18 13 9 9 12 22 27 28 21 17 14 11 7 11 24 15 18 17 22 28 19 31 21 42 15 11 65 89 33 58 1 0 0 0 3 23 0 17 4 29
1 4 7 11 12 18 20 30 30 10 12 15 15 15 17 19 24 29 30 29 27 24 35 12 16 48 32 11 51 56 42 32 27 22 18 21 7 31 18 11 13 18 20 16 17 12 10 8 10 14 12 12 13 17 19 19 23 25 20 14 8 4 3 1 0 0 0 0 0 0 0 0 0 0 5 15 18 15 11 9 12 12 16 18 20 17 14 11 5 4 4 11 5 13 3 1 12 17 8 10 28 14 23 26 19 109 109 86 13 4 0 15 68 28 18 48 24 56 28
0 2 4 11 10 18 25 37 11 8 10 14 9 12 16 19 24 28 25 23 23 24 43 1 17 28 28 7 59 60 42 29 20 19 15 21 17 10 7 18 13 11 13 17 16 14 12 16 16 20 26 28 26 26 21 14 7 4 4 2 2 2 1 2 3 1 0 0 0 0 0 3 6 9 11 14 12 11 14 15 20 19 18 16 14 8 4 2 0 0 1 3 0 0 3 20 34 26 6 1 9 15 5 8 5 2 42 56 64 84 10 19 19 4 20 94 113 54 40
1 3 6 8 8 19 29 6 6 5 9 10 9 10 13 18 19 21 20 18 18 19 23 27 8 37 1 4 50 66 35 11 9 16 23 25 14 10 15 13 17 18 18 23 24 26 23 23 23 22 16 13 14 16 14 7 4 4 3 4 4 5 4 5 6 6 4 4 4 4 6 11 12 13 12 11 11 15 22 23 19 15 12 2 1 0 0 0 1 2 1 2 0 0 0 8 6 2 5 20 10 5 0 3 3 6 0 18 22 73 106 99 67 40 43 27 83 50 8
2 5 7 6 9 16 15 4 2 5 9 7 9 9 11 14 18 17 18 16 15 15 17 20 18 17 11 20 30 35 33 0 4 9 12 15 15 20 18 18 16 24 26 22 18 17 13 15 17 19 20 20 18 11 6 6 7 7 7 6 5 7 11 12 12 17 12 7 8 13 12 13 11 9 5 6 12 23 25 21 16 8 4 0 0 0 0 2 5 4 6 0 0 1 0 1 4 0 5 1 0 1 3 12 0 0 1 42 85 94 100 121 58 11 16 1 11 5 17
2 5 5 4 4 12 7 0 2 6 8 6 7 7 9 14 14 16 14 14 12 13 14 15 15 12 11 14 25 29 42 1 0 1 13 10 13 18 21 24 26 25 17 16 14 22 23 23 24 24 20 12 9 9 9 8 6 6 6 7 8 10 10 12 16 15 11 15 20 16 12 7 6 5 4 5 13 26 24 19 12 7 3 0 0 0 0 0 3 6 3 4 6 2 2 2 2 5 4 1 4 8 4 0 50 73 17 74 76 132 109 94 80 78 9 48 102 85 31
2 4 7 5 2 9 4 2 4 5 5 6 7 6 7 10 12 13 12 12 10 12 11 14 11 8 8 8 20 26 22 22 10 2 1 0 9 20 19 24 27 12 26 29 29 25 16 15 13 11 10 8 9 10 9 7 5 5 5 10 17 23 22 27 20 12 9 10 8 10 9 8 8 6 6 6 11 19 21 15 10 4 2 0 0 0 2 0 0 1 0 3 9 3 9 4 0 0 0 0 1 2 1 4 6 3 3 21 108 106 103 134 150 163 71 25 39 36 2
2 3 5 9 4 6 4 6 2 3 5 5 6 4 5 8 10 11 10 10 8 8 10 10 9 7 6 5 13 24 23 20 12 9 7 1 8 1 5 29 48 44 24 19 22 31 19 17 15 12 11 11 9 7 5 3 3 2 3 4 7 5 5 6 7 8 8 7 8 9 8 8 7 6 4 3 8 14 20 14 8 4 1 0 0 0 0 0 1 3 1 4 6 1 7 0 0 0 0 1 1 5 4 5 4 2 6 3 34 48 8 4 37 19 15 19 40 12 36
1 2 5 5 7 6 6 2 0 2 3 4 3 2 4 5 7 8 8 8 7 7 7 7 6 6 3 4 4 17 21 22 16 8 7 5 6 0 0 0 0 5 31 28 32 26 14 14 14 13 12 11 10 7 5 2 1 0 0 0 1 2 3 5 4 5 6 7 8 7 5 4 4 4 3 1 7 14 19 12 8 2 0 0 0 0 0 1 4 3 0 0 0 0 0 0 0 0 0 0 1 5 4 2 3 3 5 2 2 2 0 0 0 0 0 0 0 0 0
2 3 5 8 6 7 11 1 0 1 0 1 1 1 2 4 5 6 5 5 4 4 3 5 4 4 2 2 2 4 14 15 16 11 6 6 3 1 0 0 0 0 9 29 32 27 13 12 9 7 8 8 8 8 7 5 2 0 0 0 0 0 0 0 1 2 2 4 4 4 5 4 5 4 1 0 9 19 16 8 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 5 3 6 8 7 6 0 4 10 3 0 0 0 1 0 0 0 0 0
3 3 5 7 6 10 14 13 1 0 0 0 0 0 1 2 3 3 3 2 1 2 2 2 3 2 1 1 1 1 2 11 12 11 7 6 5 1 1 0 0 0 0 0 0 4 10 10 2 1 0 0 0 0 4 3 3 3 1 0 0 0 0 0 0 2 4 5 5 5 5 4 3 2 0 0 10 19 16 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 1 3 6 4 3 6 3 6 5 2 1 3 2 3 2 0 0 0 0
5 5 5 6 7 11 17 4 1 0 0 0 0 0 0 1 1 1 2 1 1 1 0 0 0 0 1 0 0 0 0 1 8 8 7 4 5 6 2 2 1 1 0 0 0 0 0 0 20 18 5 6 0 0 0 0 0 1 3 3 0 0 0 0 1 4 5 2 1 2 4 2 1 0 0 0 8 17 14 8 4 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 3 0 0 1 1 4 4 3 4 6 3 0 1 2 2 2 0 0 0 1
7 6 8 8 11 9 17 9 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 5 6 4 2 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 4 9 2 0 0 4 3 3 3 3 2 1 2 4 2 2 0 1 2 0 0 0 0 0 9 13 12 14 9 2 0 0 0 0 0 0 2 1 0 2 0 0 0 0 3 3 3 2 1 2 0 1 2 4 2 2 2 1 2 1 2 3 3 1 0 0 0
5 5 8 11 11 6 17 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 8 9 8 8 9 0 0 1 5 4 5 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 2 1 0 0 0 0 0 0 0 0 0 0 0 9 8 6 9 10 7 1 0 0 0 0 0 1 0 0 0 0 0 2 4 2 1 2 1 3 2 1 2 2 2 3 2 1 1 3 3 4 8 7 4 0 0 0
1 2 4 3 1 2 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 3 5 4 6 7 10 10 10 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 6 1 2 1 2 3 3 4 4 3 2 2 2 5 5 5 5 4 1 2 1 0 0
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0 0 0 0 0 6 18 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 2 1 1 2 1 3 4 6 5 5 3 2 1 2 4 5 5 4 1 0 1 4 3 6 6 6 4 4
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