Vorticity
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26 26 25 24 23 23 22 21 21 20 19 19 18 18 17 16 16 15 15 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 4 4 3 3 3 3 3 3 4 4 4 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 9 9
27 27 26 25 24 24 23 22 22 21 20 20 19 18 18 17 16 16 15 15 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 3 3 3 3 3 4 4 4 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9
28 27 27 26 25 24 24 23 22 22 21 20 20 19 18 17 17 16 15 15 14 13 13 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 7 7 7 6 6 6 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 4 4 3 4 4 4 4 5 5 5 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9
28 28 27 26 26 25 24 23 23 22 21 21 20 19 18 17 17 16 15 14 14 13 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10
28 27 27 26 25 25 24 23 23 22 21 21 20 19 18 17 16 16 15 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 7 7 6 6 6 6 5 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 5 5 5 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10
27 27 26 26 25 24 24 23 22 22 21 20 19 19 18 17 16 15 14 13 12 12 11 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 7 7 6 6 5 5 5 5 5 5 6 7 7 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 5 5 5 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10
26 25 25 25 24 24 23 22 22 21 20 20 19 18 17 16 15 14 13 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 7 6 6 5 5 5 5 5 5 5 6 6 7 8 9 9 10 10 10 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10
24 24 24 23 23 23 22 21 21 20 19 19 18 17 16 15 14 13 12 11 11 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 7 7 6 5 5 4 4 4 4 4 5 6 6 7 8 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10
CAPE
0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 3 3 4 4 5 6 7 8 10 11 12 13 15 16 17 19 21 23 25 27 30 32 36 39 42 46 49 53 56 59 62 64 66 67 68 69 70 70 69 69 68 67 66 65 63 62 60 59 58 57 56 55 55 54 54 54 54 55 55 56 56 57 58 58 59 59 59 59 59 59 58 58 58 57 57 57 57 57 57 57 58 59 59 60 61 62 63 63 64 65 65 65 65 65 65 65 65 64 64 63 62 61 61 60 58 57 56 54 53 51 50 48 47 45 43 42 41 40 39 38 37 37 36 36 36 36 36 35 35 35 34 33 32 32 31 30 29 28 27 27 26 25 25 24 24 24 23 23 23 22 22 21 21 20 20 19 18 17 16 15 14 13 12 11 10 9 8 7 7 6 6 5 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 7 7 8 8 9 9 10 11 11 12 13 14 15 16 18 19 20 21 22 23 24 25 25 26 27 27 28 29 29 30 31 31 32 33 34 35 36 36 37 38 39 40 40 41 42 42 43 43 44 44 45 45 46 46 47 47 48 49 49 50 51 51 52 53 53 53 54 54 54 54 53 53 52 52 51 50 49 47 46 45 43 41 40 38 36 35 33 31 29 28 26 25 24 22 21 20 19 19 18 17 17
0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 3 3 4 5 6 7 8 9 10 12 13 14 16 17 19 21 22 24 26 28 30 33 36 39 43 46 50 53 57 60 63 66 68 70 72 73 74 75 75 75 74 73 72 71 70 68 67 65 64 63 61 60 60 59 58 58 58 58 58 58 59 59 59 60 60 60 60 60 60 59 59 59 58 58 57 57 57 57 57 57 58 58 59 60 60 61 62 62 63 64 64 64 64 64 64 64 64 63 63 62 61 61 60 59 58 56 55 54 52 51 49 48 46 44 43 41 40 39 37 37 36 35 35 35 34 34 34 34 34 33 33 33 32 31 30 30 29 28 27 26 26 25 25 24 24 24 23 23 23 22 22 22 21 21 20 20 19 18 17 16 15 14 13 12 11 10 9 8 7 7 6 5 5 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 7 7 8 8 9 10 10 11 12 13 14 15 16 17 19 20 21 22 23 23 24 25 26 26 27 28 29 29 30 31 32 33 34 34 35 36 37 38 39 40 41 41 42 43 43 44 44 45 45 46 46 47 47 48 48 49 50 50 51 52 52 53 53 54 54 55 55 55 54 54 54 53 52 51 50 49 48 46 45 43 41 39 38 36 34 32 30 29 27 26 24 23 22 21 20 19 18 17 17
0 0 0 0 0 1 1 1 1 1 1 2 2 2 3 3 4 5 6 7 8 9 11 12 14 16 17 19 21 22 24 26 28 30 32 34 37 40 43 47 50 54 58 61 65 68 71 73 75 77 78 79 80 80 80 79 79 78 77 75 74 72 71 69 68 66 65 64 63 63 62 62 61 61 61 61 61 61 61 61 61 61 60 60 60 59 59 58 58 57 57 57 57 57 57 58 58 59 60 60 61 61 62 62 63 63 63 63 63 63 62 62 62 61 60 60 59 58 57 56 54 53 52 50 48 47 45 44 42 40 39 38 36 35 35 34 33 33 33 33 33 33 32 32 32 32 31 31 30 29 28 28 27 26 26 25 25 24 24 23 23 23 23 22 22 22 22 21 21 20 20 19 18 17 16 15 14 13 12 11 10 9 8 7 7 6 5 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 5 5 5 6 6 7 7 8 9 9 10 11 12 13 14 15 16 18 19 20 21 22 23 23 24 25 26 26 27 28 29 30 31 32 33 33 34 35 36 37 38 39 40 41 41 42 43 43 44 44 45 45 46 46 47 47 48 48 49 50 50 51 52 52 53 54 54 55 55 55 55 55 55 55 54 54 53 52 50 49 48 46 44 43 41 39 37 35 33 31 30 28 26 25 23 22 21 20 19 18 18 17
0 0 0 0 1 1 1 1 1 2 2 2 3 3 4 4 5 6 7 8 10 11 13 15 16 18 20 22 24 26 28 30 32 34 36 39 41 44 47 51 55 58 62 66 69 72 75 78 80 82 83 85 85 85 85 85 84 83 82 81 79 77 76 74 72 71 70 68 67 66 66 65 65 64 64 63 63 63 62 62 62 61 60 60 59 59 58 58 57 57 57 56 57 57 57 57 58 59 59 60 60 61 61 61 61 62 62 61 61 61 60 60 60 59 58 57 57 56 54 53 52 51 49 48 46 44 43 41 40 38 37 36 34 33 33 32 32 31 31 31 31 31 31 31 31 30 30 29 29 28 27 27 26 25 25 24 24 24 23 23 23 23 22 22 22 22 21 21 21 20 19 19 18 17 16 15 14 13 12 11 10 9 8 7 6 6 5 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 5 5 5 6 6 7 8 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 24 25 26 27 28 29 30 31 31 32 33 34 35 36 37 38 39 40 41 41 42 43 43 44 44 45 45 46 46 47 47 48 48 49 50 50 51 52 53 53 54 55 55 56 56 56 56 56 56 55 55 54 53 52 50 49 47 46 44 42 40 38 36 34 32 30 29 27 25 24 23 21 20 19 18 18 17
0 0 1 1 1 1 1 1 2 2 2 3 3 4 4 5 6 7 9 10 12 13 15 17 19 21 24 26 28 30 32 34 36 38 40 43 46 49 52 55 59 63 67 70 74 77 80 83 85 87 89 90 90 91 91 90 90 89 87 86 84 83 81 79 77 76 74 73 71 70 69 68 67 67 66 65 65 64 63 63 62 61 60 60 59 58 57 57 56 56 56 56 56 56 56 57 57 58 58 59 59 60 60 60 60 60 60 59 59 59 58 58 57 57 56 55 54 53 52 51 49 48 46 45 43 42 40 39 37 36 35 33 32 32 31 30 30 30 30 30 30 30 30 30 30 29 29 28 28 27 27 26 25 25 24 24 23 23 23 23 22 22 22 22 22 21 21 21 20 20 19 18 18 17 16 15 14 13 12 10 10 9 8 7 6 6 5 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 5 5 6 6 7 8 9 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 38 39 40 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 50 50 51 52 53 53 54 55 55 56 56 57 57 57 56 56 55 55 54 53 51 50 48 47 45 43 41 39 37 35 33 31 29 28 26 24 23 22 21 20 19 18 17
0 1 1 1 1 1 1 2 2 2 3 3 4 5 5 6 8 9 10 12 14 16 18 20 22 25 27 29 32 34 36 38 40 43 45 48 50 53 57 60 64 68 71 75 79 82 85 88 90 92 94 95 96 96 96 96 95 94 93 91 90 88 86 84 82 80 78 77 75 74 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 56 55 55 55 55 55 55 55 56 56 57 57 58 58 58 58 58 58 58 58 57 57 56 56 55 55 54 53 52 51 50 49 48 47 45 44 42 40 39 37 36 35 33 32 31 30 30 29 29 29 29 29 29 29 29 29 29 29 28 28 28 27 26 26 25 25 24 24 23 23 23 22 22 22 22 22 22 21 21 21 20 20 19 19 18 17 16 15 14 13 12 11 10 9 8 8 7 6 6 5 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4 4 4 5 6 6 7 8 9 10 11 12 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 39 40 41 42 42 43 44 44 45 45 45 46 46 47 47 48 48 49 50 50 51 52 53 53 54 55 55 56 56 57 57 57 57 56 56 55 54 53 52 51 49 48 46 44 42 40 38 36 34 32 30 28 26 25 23 22 21 20 19 18 17
1 1 1 1 1 2 2 2 3 3 4 4 5 6 7 8 9 10 12 14 16 18 20 23 26 28 31 33 36 38 40 43 45 47 50 52 55 58 61 65 69 72 76 80 83 87 90 93 95 97 99 100 101 102 102 101 100 99 98 97 95 93 91 89 86 84 82 80 79 77 75 74 72 71 70 68 67 66 64 63 62 60 59 58 57 56 55 54 54 54 53 53 53 54 54 54 55 55 56 56 56 56 56 56 56 56 55 55 54 54 53 53 52 51 50 50 49 48 46 45 44 42 41 39 38 36 35 33 32 31 30 29 29 28 28 28 27 28 28 28 28 28 28 28 28 28 27 27 26 26 25 25 24 24 23 23 22 22 22 22 22 22 21 21 21 21 20 20 20 19 18 18 17 16 15 14 13 12 11 10 9 8 7 7 6 5 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3 4 4 5 6 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 40 41 42 43 43 44 44 45 45 46 46 46 47 47 48 48 49 50 50 51 52 53 53 54 55 55 56 56 57 57 57 57 57 56 56 55 54 53 51 50 48 46 44 42 40 38 36 34 32 30 28 27 25 24 22 21 20 19 18 17
1 1 1 1 2 2 2 3 3 4 4 5 6 7 8 9 11 12 14 16 18 21 23 26 29 32 35 37 40 43 45 47 50 52 55 57 60 63 66 70 73 77 81 84 88 91 95 98 100 102 104 105 106 107 107 106 106 105 103 102 100 98 95 93 91 88 86 84 82 80 78 76 74 72 71 69 67 66 64 63 61 60 58 57 56 55 54 53 52 52 52 52 52 52 52 53 53 53 54 54 54 54 54 54 53 53 53 52 51 51 50 50 49 48 48 47 46 45 43 42 41 39 38 36 35 33 32 31 30 29 28 27 27 27 26 26 26 27 27 27 27 27 27 27 27 27 27 26 26 25 25 24 24 23 23 22 22 22 22 21 21 21 21 21 21 20 20 19 19 18 18 17 16 15 14 14 13 12 11 10 9 8 7 6 6 5 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 4 5 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 41 42 43 43 44 44 45 45 46 46 46 47 47 48 48 49 49 50 51 52 52 53 54 54 55 56 56 56 57 57 57 57 56 56 55 54 53 51 50 48 46 45 43 41 38 36 34 32 30 29 27 25 24 23 21 20 19 18 17
1 1 2 2 2 2 3 3 4 5 5 6 7 8 9 11 12 14 16 18 21 24 26 29 32 35 38 41 44 47 50 52 55 57 60 62 65 68 71 75 78 82 85 89 93 96 99 102 105 107 109 110 111 112 112 112 111 110 108 107 105 102 100 97 95 92 90 87 85 82 80 78 76 74 72 70 68 66 64 62 60 58 57 55 54 53 52 51 51 50 50 50 50 50 50 51 51 51 52 52 52 52 51 51 51 50 50 49 49 48 47 47 46 45 45 44 43 42 40 39 38 36 35 34 32 31 30 29 28 27 26 26 25 25 25 25 26 26 26 26 27 27 27 27 27 27 26 26 25 25 24 24 23 23 22 22 21 21 21 21 21 21 20 20 20 20 19 19 18 18 17 16 16 15 14 13 12 11 10 9 8 7 7 6 5 5 4 4 3 3 3 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 4 4 5 5 6 7 8 9 10 11 13 14 15 16 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 42 43 43 44 44 45 45 46 46 46 47 47 48 48 49 49 50 51 51 52 53 53 54 55 55 56 56 56 56 56 56 56 55 55 54 53 51 50 48 46 45 43 41 38 36 34 32 31 29 27 25 24 23 21 20 19 18 17
1 2 2 2 3 3 4 4 5 5 6 7 8 10 11 13 14 16 19 21 24 27 30 33 36 39 42 46 49 52 54 57 60 62 65 67 70 73 76 80 83 86 90 94 97 100 104 107 109 112 113 115 116 117 117 117 116 115 113 111 109 107 104 101 98 96 93 90 87 85 82 79 77 75 72 70 68 65 63 61 59 57 56 54 53 51 50 49 49 48 48 48 48 48 48 49 49 49 49 49 49 49 49 48 48 47 47 46 45 45 44 44 43 42 42 41 40 39 38 36 35 34 32 31 30 29 27 27 26 25 25 24 24 24 24 24 25 25 26 26 26 27 27 27 27 26 26 26 25 24 24 23 23 22 22 21 21 21 20 20 20 20 20 20 19 19 19 18 18 17 16 16 15 14 13 12 11 10 10 9 8 7 6 6 5 4 4 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 3 3 4 4 5 6 7 8 9 10 11 12 13 15 16 17 19 20 21 22 23 25 26 27 28 29 30 31 32 33 35 36 37 38 38 39 40 41 42 42 43 44 44 45 45 45 46 46 47 47 47 48 48 49 49 50 50 51 52 52 53 54 54 55 55 55 56 56 56 55 55 55 54 53 52 51 49 48 46 44 42 40 38 36 34 32 30 29 27 25 24 22 21 20 19 18 17
2 2 2 3 3 4 4 5 6 6 7 9 10 11 13 14 16 19 21 24 27 30 33 36 40 43 46 50 53 56 59 62 64 67 70 72 75 78 81 84 88 91 94 98 101 105 108 111 113 116 118 119 120 121 121 121 120 119 118 116 113 111 108 105 102 99 96 92 89 86 83 81 78 75 72 70 67 65 62 60 58 56 54 52 51 49 48 47 47 46 46 46 46 46 46 46 46 47 47 47 46 46 46 45 45 44 44 43 42 42 41 41 40 39 39 38 37 36 35 34 33 31 30 29 28 27 26 25 24 24 23 23 23 23 23 24 24 25 25 26 26 26 26 26 26 26 26 25 25 24 23 23 22 22 21 21 20 20 20 20 19 19 19 19 19 18 18 17 17 16 16 15 14 13 13 12 11 10 9 8 7 7 6 5 5 4 4 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 2 2 2 3 3 4 5 6 6 7 8 9 11 12 13 14 16 17 18 20 21 22 23 25 26 27 28 29 30 31 33 34 35 36 37 38 39 40 40 41 42 43 43 44 44 45 45 45 46 46 47 47 47 48 48 49 49 50 50 51 51 52 52 53 53 54 54 54 55 55 55 54 54 54 53 52 51 50 49 47 45 44 42 40 38 36 34 32 30 28 27 25 23 22 21 20 19 18 17
2 3 3 3 4 4 5 6 7 8 9 10 11 13 15 16 19 21 24 27 30 33 36 40 43 47 51 54 57 61 64 66 69 72 75 77 80 83 86 89 92 95 99 102 105 109 112 115 117 120 122 123 124 125 126 125 125 123 122 120 117 115 112 108 105 102 98 95 91 88 85 81 78 75 72 69 67 64 61 59 57 54 52 51 49 48 46 45 45 44 44 44 43 43 44 44 44 44 44 44 44 43 43 42 42 41 40 40 39 39 38 38 37 36 36 35 34 33 32 31 30 29 28 27 26 25 24 23 23 22 22 22 22 23 23 23 24 24 25 25 26 26 26 26 26 26 25 25 24 24 23 22 22 21 21 20 20 19 19 19 19 18 18 18 18 17 17 16 16 15 15 14 13 13 12 11 10 9 8 8 7 6 5 5 4 4 3 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 1 1 2 2 3 3 4 4 5 6 7 8 9 10 11 13 14 15 17 18 19 21 22 23 24 26 27 28 29 30 31 33 34 35 36 37 38 39 40 40 41 42 43 43 44 44 45 45 45 46 46 47 47 47 48 48 48 49 49 50 50 51 51 52 52 52 53 53 53 53 53 53 53 53 52 52 51 50 49 48 46 44 43 41 39 37 35 33 31 29 28 26 24 23 22 20 19 18 17 16
3 3 4 4 5 5 6 7 8 9 10 11 13 15 17 19 21 24 26 29 33 36 40 43 47 51 55 58 62 65 68 71 74 77 80 82 85 88 91 93 96 100 103 106 109 112 115 118 121 123 125 127 128 129 129 129 128 127 125 123 121 118 115 111 108 104 100 96 93 89 86 82 79 75 72 69 66 63 60 58 55 53 51 49 47 46 44 43 43 42 42 41 41 41 41 41 41 41 41 41 41 40 40 39 39 38 37 37 36 36 35 35 34 34 33 33 32 31 30 29 28 27 26 25 24 23 23 22 22 21 21 21 22 22 23 23 24 24 25 25 26 26 26 26 26 26 25 25 24 23 23 22 21 20 20 19 19 19 18 18 18 18 17 17 17 16 16 16 15 14 14 13 13 12 11 10 9 9 8 7 6 6 5 4 4 3 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 1 2 2 2 3 3 4 5 6 7 8 9 10 11 12 14 15 16 18 19 20 22 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 40 40 41 42 43 43 44 44 45 45 45 46 46 46 47 47 47 48 48 49 49 49 50 50 50 51 51 51 52 52 52 52 52 52 52 51 51 50 49 49 47 46 45 43 42 40 38 36 34 32 30 29 27 25 24 22 21 20 19 18 17 16
4 4 4 5 6 6 7 8 9 10 12 13 15 17 19 21 23 26 29 32 36 40 43 47 51 55 59 62 66 69 73 76 79 81 84 87 90 92 95 98 101 103 106 109 112 115 118 121 124 126 128 130 131 132 132 132 131 130 129 126 124 121 117 114 110 106 102 98 94 90 86 82 79 75 72 68 65 62 59 56 54 51 49 47 45 44 43 41 41 40 39 39 39 39 39 39 39 39 38 38 38 37 37 36 36 35 34 34 33 33 33 32 32 31 31 31 30 29 29 28 27 26 25 24 23 23 22 21 21 21 21 21 21 22 22 23 24 24 25 25 26 26 26 26 26 26 25 24 24 23 22 21 21 20 19 19 18 18 17 17 17 17 16 16 16 15 15 14 14 13 13 12 12 11 10 9 9 8 7 6 6 5 4 4 3 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 1 2 2 3 3 4 5 5 6 7 8 9 11 12 13 15 16 17 19 20 21 23 24 25 26 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 42 43 44 44 45 45 45 46 46 46 47 47 47 47 48 48 48 49 49 49 50 50 50 50 50 50 51 51 50 50 50 50 49 49 48 47 46 45 43 42 40 38 37 35 33 31 29 28 26 24 23 21 20 19 18 17 16 15
4 5 5 6 7 7 8 9 10 12 13 15 17 19 21 23 26 29 32 36 39 43 47 51 55 59 63 67 70 74 77 80 83 86 89 91 94 97 99 102 104 107 110 112 115 118 121 124 126 128 130 132 133 134 135 134 134 133 131 129 126 123 119 116 112 108 103 99 95 91 86 82 78 75 71 67 64 61 58 55 52 50 48 45 44 42 41 40 39 38 37 37 37 37 36 36 36 36 36 35 35 35 34 33 33 32 32 31 31 30 30 30 30 29 29 29 28 28 27 27 26 25 24 23 23 22 21 21 21 21 21 21 21 22 22 23 24 24 25 25 26 26 26 26 26 25 25 24 23 22 22 21 20 19 18 18 17 17 16 16 16 15 15 15 15 14 14 13 13 12 12 11 11 10 9 9 8 7 6 6 5 4 4 3 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 1 2 2 2 3 4 4 5 6 7 8 9 10 11 13 14 15 17 18 19 21 22 23 25 26 27 28 30 31 32 33 34 35 36 37 38 39 40 41 41 42 43 43 44 44 45 45 45 46 46 46 46 47 47 47 48 48 48 48 48 49 49 49 49 49 49 49 49 49 48 48 48 47 47 46 45 44 43 41 40 38 37 35 33 32 30 28 26 25 23 22 20 19 18 17 16 15 15
5 6 6 7 8 9 10 11 12 13 15 17 19 21 23 26 29 32 35 39 42 46 50 54 59 63 67 71 74 78 81 84 87 90 93 96 98 101 103 105 108 110 113 115 118 120 123 125 128 130 132 134 135 136 136 136 135 134 133 130 128 124 121 117 113 109 104 100 95 91 86 82 78 74 70 66 63 60 56 53 51 48 46 44 42 40 39 38 37 36 35 35 35 34 34 34 34 34 33 33 32 32 31 31 30 30 29 29 29 28 28 28 28 28 28 28 27 27 26 26 25 25 24 23 23 22 22 21 21 21 21 21 22 22 23 23 24 25 25 26 26 26 26 26 25 25 24 24 23 22 21 20 19 18 18 17 16 16 15 15 15 14 14 14 13 13 13 12 12 11 11 10 10 9 8 8 7 6 6 5 5 4 3 3 3 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 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 1 1 1 1 1 2 2 3 3 4 5 5 6 7 8 10 11 12 13 15 16 17 19 20 22 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 40 40 41 42 42 43 43 44 44 45 45 45 45 46 46 46 46 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 46 46 46 45 45 44 43 42 41 40 38 37 35 33 32 30 28 27 25 23 22 21 19 18 17 16 15 14 14
7 7 8 8 9 10 11 12 13 15 17 19 21 23 26 28 31 35 38 42 46 50 54 58 62 67 71 75 78 82 85 89 92 94 97 100 102 104 106 109 111 113 115 117 120 122 124 127 129 131 133 135 136 137 137 137 136 135 133 131 128 125 122 118 114 109 105 100 95 91 86 82 77 73 69 65 62 58 55 52 49 47 44 42 40 39 37 36 35 34 34 33 33 32 32 32 32 31 31 31 30 30 29 29 28 28 27 27 27 27 27 27 27 27 27 27 27 26 26 26 25 25 24 23 23 22 22 22 21 21 21 22 22 22 23 24 24 25 25 26 26 26 26 26 25 25 24 23 22 21 20 19 18 17 17 16 15 15 14 14 13 13 13 12 12 12 11 11 11 10 10 9 9 8 7 7 6 6 5 4 4 3 3 3 2 2 2 1 1 1 1 1 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 0 0 0 0 0 1 1 1 1 2 2 2 3 4 4 5 6 7 8 9 10 11 13 14 15 17 18 19 21 22 23 25 26 27 28 30 31 32 33 34 35 36 37 38 39 40 40 41 42 42 43 43 44 44 44 45 45 45 45 45 46 46 46 46 46 46 46 46 46 46 46 46 45 45 45 45 44 44 44 43 42 42 41 40 39 37 36 35 33 32 30 28 27 25 23 22 21 19 18 17 16 15 14 13 13
8 8 9 10 11 11 13 14 15 17 19 21 23 25 28 31 34 37 41 45 49 53 57 62 66 70 74 78 82 86 89 93 96 98 101 103 105 108 109 111 113 115 117 119 121 123 125 128 130 132 133 135 136 137 137 137 136 135 133 131 128 125 122 118 113 109 104 100 95 90 85 81 76 72 68 64 60 57 54 51 48 45 43 41 39 37 36 35 34 33 32 31 31 30 30 30 30 29 29 28 28 28 27 27 26 26 26 26 25 25 26 26 26 26 26 26 26 26 26 26 25 25 25 24 24 23 23 22 22 22 22 22 23 23 24 24 25 25 25 26 26 26 26 25 25 24 23 22 21 20 19 18 17 16 16 15 14 14 13 13 12 12 12 11 11 11 10 10 10 9 9 8 8 7 7 6 5 5 4 4 3 3 3 2 2 2 1 1 1 1 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 0 0 0 0 0 0 0 1 1 1 1 1 2 2 3 3 4 5 5 6 7 8 10 11 12 13 15 16 17 19 20 21 23 24 25 26 28 29 30 31 32 33 34 35 36 37 38 39 40 40 41 42 42 42 43 43 43 44 44 44 44 44 45 45 45 45 45 45 45 44 44 44 44 44 43 43 43 43 42 42 41 41 40 39 39 38 37 35 34 33 31 30 28 26 25 23 22 20 19 18 17 16 15 14 13 12 12
9 10 11 11 12 13 14 16 17 19 21 23 25 28 30 33 37 40 44 48 52 57 61 65 70 74 78 82 86 90 93 96 99 102 104 107 109 110 112 114 115 117 119 120 122 124 126 128 129 131 133 134 135 136 136 136 135 134 133 130 128 124 121 117 113 108 103 99 94 89 84 80 75 71 67 63 59 55 52 49 46 44 42 39 38 36 35 33 32 31 30 30 29 29 28 28 28 27 27 27 26 26 26 25 25 25 25 25 25 25 25 25 26 26 26 26 27 27 27 26 26 26 25 25 25 24 24 24 23 23 23 23 24 24 24 25 25 25 25 26 26 26 25 25 24 24 23 22 21 20 18 17 16 15 15 14 13 12 12 11 11 11 10 10 10 9 9 9 8 8 8 7 7 6 6 5 5 4 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 5 6 7 8 9 10 11 13 14 15 17 18 19 20 22 23 24 26 27 28 29 30 31 33 34 35 36 37 37 38 39 40 40 41 41 42 42 42 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 42 42 42 41 41 41 40 40 40 39 38 38 37 36 35 34 33 32 30 29 28 26 25 23 22 20 19 18 16 15 14 13 13 12 11 11
11 12 12 13 14 15 16 17 19 21 23 25 27 30 33 36 39 43 47 51 55 60 64 69 73 78 82 86 90 94 97 100 103 105 108 110 111 113 114 116 117 118 120 121 122 124 125 127 129 130 132 133 134 134 135 134 134 132 131 129 126 123 119 115 111 107 102 97 92 88 83 78 74 69 65 61 57 54 51 48 45 42 40 38 36 35 33 32 31 30 29 29 28 28 27 27 26 26 26 26 25 25 25 24 24 24 24 24 24 25 25 25 26 26 27 27 27 27 27 27 27 27 27 26 26 26 25 25 25 24 24 24 24 25 25 25 25 25 26 26 26 25 25 24 24 23 22 21 20 19 18 16 15 14 13 13 12 11 11 10 10 9 9 9 8 8 8 8 7 7 7 6 6 5 5 4 4 4 3 3 2 2 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 3 3 4 5 5 6 7 8 9 11 12 13 14 16 17 18 20 21 22 23 25 26 27 28 29 31 32 33 34 35 36 36 37 38 39 39 40 40 41 41 41 41 42 42 42 42 42 42 42 42 42 42 41 41 41 41 40 40 40 39 39 39 38 38 37 37 36 36 35 34 33 32 31 30 28 27 26 24 23 21 20 19 17 16 15 14 13 12 11 11 10 10
13 13 14 15 16 17 18 19 21 23 25 27 29 32 35 38 42 46 50 54 59 63 68 72 77 81 86 90 94 97 101 104 106 109 111 112 114 115 116 117 118 119 120 121 122 123 125 126 127 129 130 131 132 132 132 132 131 130 128 126 123 120 117 113 109 104 100 95 90 86 81 76 72 67 63 59 56 52 49 46 44 41 39 37 35 34 32 31 30 29 28 27 27 26 26 26 25 25 25 25 24 24 24 24 24 24 24 24 25 25 25 26 26 27 27 28 28 28 29 29 29 28 28 28 28 27 27 26 26 26 26 26 26 26 26 26 26 26 26 26 25 25 24 24 23 22 21 20 19 18 17 15 14 13 12 12 11 10 10 9 9 8 8 8 7 7 7 7 6 6 6 5 5 5 4 4 3 3 3 2 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 3 3 4 5 6 7 8 9 10 11 12 13 15 16 17 19 20 21 22 24 25 26 27 28 29 31 32 33 34 34 35 36 37 37 38 38 39 39 40 40 40 40 41 41 41 41 41 41 40 40 40 40 39 39 39 38 38 37 37 37 36 36 35 35 34 34 33 33 32 31 30 29 28 26 25 24 22 21 20 18 17 16 15 14 13 12 11 10 10 9 9
15 15 16 17 18 19 20 21 23 25 27 29 32 34 38 41 45 48 53 57 62 66 71 76 80 85 89 93 97 101 104 107 109 111 113 115 116 117 118 118 119 119 120 121 121 122 123 124 125 126 127 128 129 129 129 129 128 126 125 123 120 117 114 110 106 101 97 92 88 83 79 74 70 65 61 58 54 51 48 45 42 40 38 36 34 33 31 30 29 28 27 27 26 26 25 25 25 25 24 24 24 24 24 24 24 24 25 25 25 26 26 27 27 28 28 29 29 30 30 30 30 30 30 30 29 29 28 28 28 27 27 27 27 26 26 26 26 26 26 25 25 24 24 23 22 21 20 19 18 17 16 14 13 12 11 10 10 9 8 8 7 7 7 7 6 6 6 6 5 5 5 4 4 4 3 3 3 3 2 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 4 4 5 6 7 8 9 10 11 12 14 15 16 17 19 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 36 37 37 38 38 38 39 39 39 39 39 39 39 39 39 39 38 38 38 37 37 37 36 36 35 35 34 34 34 33 33 32 32 31 30 30 29 28 27 25 24 23 22 20 19 18 16 15 14 13 12 11 10 10 9 8 8 8
17 17 18 19 20 21 22 24 25 27 29 31 34 37 40 43 47 51 55 60 65 69 74 79 84 88 93 97 101 104 107 110 112 114 116 117 118 118 119 119 119 119 120 120 120 121 121 122 123 124 124 125 125 125 125 125 124 122 121 118 116 113 110 106 102 98 94 89 85 80 76 71 67 63 59 55 52 49 46 43 41 38 36 35 33 32 30 29 28 27 27 26 26 25 25 25 25 24 24 24 24 25 25 25 25 25 26 26 26 27 27 28 29 29 30 30 31 31 32 32 32 32 32 31 31 31 30 30 29 29 28 28 28 27 27 27 26 26 26 25 25 24 23 22 21 20 19 18 17 16 14 13 12 11 10 9 9 8 7 7 6 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 4 5 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21 23 24 25 26 27 28 29 30 31 32 33 34 34 35 35 36 36 37 37 37 37 37 38 38 37 37 37 37 37 36 36 36 35 35 34 34 33 33 33 32 32 31 31 31 30 29 29 28 27 26 26 24 23 22 21 20 18 17 16 15 14 13 12 11 10 9 8 8 7 7 7
19 19 20 21 22 23 24 26 27 29 31 34 36 39 42 46 50 54 58 63 68 72 77 82 87 92 96 100 104 107 110 113 115 116 118 119 119 119 119 119 119 119 119 119 119 119 119 120 120 121 121 121 121 121 121 120 119 118 116 114 111 108 105 102 98 94 90 85 81 77 72 68 64 60 57 53 50 47 44 41 39 37 35 34 32 31 30 29 28 27 26 26 25 25 25 25 25 25 25 25 25 25 26 26 26 27 27 27 28 28 29 30 30 31 31 32 32 33 33 33 33 33 33 33 33 32 32 31 31 30 30 29 29 28 28 27 27 26 26 25 24 23 23 22 20 19 18 17 16 15 13 12 11 10 9 8 8 7 6 6 6 5 5 5 4 4 4 4 4 3 3 3 3 3 2 2 2 2 1 1 1 1 1 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 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 3 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 24 25 26 27 28 29 30 31 31 32 33 33 34 34 35 35 35 36 36 36 36 36 36 36 35 35 35 34 34 33 33 33 32 32 31 31 30 30 30 29 29 28 28 27 27 26 25 24 23 22 21 20 19 18 17 16 14 13 12 11 10 9 9 8 7 7 6 6 6
21 22 23 23 24 25 27 28 30 31 33 36 38 41 45 48 52 56 61 66 71 76 81 86 90 95 99 104 107 110 113 115 117 118 119 120 120 120 120 119 119 118 118 117 117 117 117 117 117 117 117 117 117 117 116 115 114 113 111 109 106 103 100 97 93 89 85 81 77 73 69 65 61 57 54 50 47 45 42 40 38 36 34 33 31 30 29 28 27 27 26 26 25 25 25 25 25 25 26 26 26 27 27 27 28 28 29 29 30 30 31 31 32 32 33 34 34 34 35 35 35 35 35 35 34 34 33 33 32 32 31 30 30 29 28 28 27 26 25 25 24 23 22 21 20 18 17 16 15 14 12 11 10 9 8 7 7 6 6 5 5 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 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 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 3 3 4 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 25 26 27 28 28 29 30 31 31 32 33 33 33 34 34 34 34 34 34 34 34 34 33 33 33 32 32 31 31 30 30 29 29 29 28 28 27 27 27 26 26 25 25 24 23 22 22 21 20 18 17 16 15 14 13 12 11 10 9 8 8 7 6 6 5 5 5
23 24 25 26 27 28 29 30 32 34 36 38 41 44 47 51 55 59 64 69 74 79 84 89 94 98 103 107 110 113 116 118 119 120 121 121 121 120 120 119 118 117 116 115 115 114 114 114 114 113 113 113 113 112 111 110 109 107 105 103 101 98 95 91 88 84 80 77 73 69 65 61 57 54 51 48 45 42 40 38 36 34 33 31 30 29 28 28 27 26 26 26 26 25 26 26 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 36 36 36 36 36 36 36 35 35 34 34 33 32 31 31 30 29 28 27 26 25 24 23 22 21 20 19 17 16 15 14 13 11 10 9 8 7 7 6 5 5 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 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 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 3 3 4 5 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 29 30 31 31 32 32 32 32 32 33 32 32 32 32 32 31 31 31 30 30 29 29 28 28 27 27 26 26 26 25 25 25 24 24 23 23 22 21 21 20 19 18 17 16 15 13 12 11 10 10 9 8 7 6 6 5 5 5 4 4
25 26 27 28 29 30 31 33 34 36 38 41 43 46 50 53 57 62 67 71 77 82 87 92 97 102 106 110 113 116 118 120 121 122 122 122 121 120 119 118 117 116 114 113 113 112 111 111 110 110 109 109 108 107 106 105 104 102 100 98 95 92 89 86 83 79 75 72 68 64 61 57 54 51 48 45 42 40 38 36 34 33 32 30 29 29 28 27 27 26 26 26 26 26 26 27 27 28 28 29 30 30 31 31 32 32 33 33 34 34 34 35 35 36 36 37 37 37 38 38 38 38 38 37 37 37 36 35 35 34 33 32 31 30 29 28 27 26 25 24 23 21 20 19 18 16 15 14 13 12 10 9 8 7 7 6 5 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 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 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 3 4 4 5 6 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 26 27 27 28 29 29 30 30 30 31 31 31 31 31 31 30 30 30 29 29 28 28 27 27 26 26 26 25 25 24 24 24 23 23 23 22 22 21 21 20 20 19 18 17 16 15 14 13 12 11 10 9 8 8 7 6 6 5 5 4 4 3 3
27 29 29 30 32 33 34 35 37 39 41 43 46 49 52 56 60 65 70 75 80 85 90 95 100 105 109 113 116 119 121 122 123 123 123 122 121 120 119 117 116 114 113 111 110 109 108 107 107 106 105 104 104 102 101 100 98 96 94 92 89 86 83 80 77 74 70 67 63 60 56 53 50 47 44 42 39 37 36 34 33 31 30 29 29 28 27 27 27 26 26 26 27 27 27 28 29 29 30 31 32 32 33 34 34 35 35 35 36 36 36 37 37 37 38 38 38 38 39 39 39 39 39 38 38 37 37 36 35 35 34 33 32 31 30 28 27 26 25 23 22 21 19 18 17 15 14 13 12 11 9 8 8 7 6 5 5 4 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 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 0 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 3 3 4 4 5 6 7 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 23 24 25 26 27 27 28 28 29 29 29 29 29 29 29 29 28 28 28 27 27 26 26 25 25 24 24 23 23 23 22 22 22 21 21 21 20 20 20 19 18 18 17 16 15 14 14 13 12 11 10 9 8 7 7 6 5 5 4 4 3 3 3 3
30 31 32 33 34 35 36 38 39 41 43 46 48 52 55 59 63 68 73 78 83 88 94 99 103 108 112 116 118 121 123 124 124 124 124 123 122 120 118 116 114 113 111 109 108 106 105 104 103 102 101 100 99 98 96 95 93 91 89 86 84 81 78 75 72 68 65 62 58 55 52 49 46 43 41 39 37 35 33 32 31 30 29 28 28 27 27 27 27 27 27 27 27 28 29 29 30 31 32 33 34 35 35 36 37 37 37 38 38 38 38 38 38 39 39 39 39 39 39 39 39 39 39 39 39 38 37 37 36 35 34 33 32 31 30 28 27 26 24 23 21 20 18 17 16 14 13 12 11 10 9 8 7 6 5 4 4 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 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 0 0 0 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 3 3 4 5 5 6 7 8 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 25 26 26 27 27 27 27 28 27 27 27 27 27 26 26 25 25 24 24 23 23 22 22 21 21 21 20 20 20 19 19 19 19 18 18 17 17 16 15 15 14 13 12 11 10 9 9 8 7 6 6 5 4 4 3 3 3 2 2 2
32 33 34 35 36 38 39 40 42 44 46 48 51 54 58 62 66 71 76 81 86 92 97 102 107 111 115 118 121 123 124 125 126 125 124 123 121 120 118 115 113 111 109 107 105 104 102 101 100 98 97 96 95 93 91 90 88 86 83 81 78 75 72 69 66 63 60 57 54 51 48 45 42 40 38 36 34 32 31 30 29 28 28 27 27 27 27 27 27 27 27 28 28 29 30 31 32 33 34 35 36 37 38 38 39 39 39 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 39 39 39 38 38 37 36 35 34 33 32 31 29 28 27 25 23 22 20 19 17 16 14 13 12 11 10 9 8 7 6 5 5 4 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 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 3 4 4 5 5 6 7 8 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 22 23 24 24 25 25 26 26 26 26 26 26 25 25 25 24 24 23 23 22 22 21 21 20 20 20 19 19 19 18 18 18 17 17 17 17 16 16 15 15 14 13 12 12 11 10 9 8 8 7 6 5 5 4 4 3 3 3 2 2 2 2
34 35 36 38 39 40 41 43 45 47 49 51 54 58 61 65 70 74 79 85 90 95 100 105 110 114 118 121 123 125 126 127 127 126 125 123 121 119 117 114 112 110 107 105 103 101 100 98 96 95 93 92 90 89 87 85 83 81 78 76 73 70 67 64 61 58 55 52 49 46 43 41 38 36 34 33 31 30 29 28 27 27 27 26 26 26 26 27 27 27 28 29 29 30 32 33 34 35 36 38 39 39 40 41 41 41 41 41 41 41 41 41 40 40 40 40 40 40 40 40 40 40 39 39 39 38 38 37 36 35 34 33 32 31 29 28 26 24 23 21 19 18 16 15 13 12 11 10 9 8 7 6 5 5 4 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 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 3 3 4 4 5 6 6 7 8 8 9 10 11 12 13 14 15 16 17 18 19 19 20 21 22 22 23 23 24 24 24 24 24 24 24 24 23 23 22 22 21 21 20 20 19 19 19 18 18 17 17 17 17 16 16 16 16 15 15 15 14 14 13 13 12 11 10 10 9 8 7 7 6 5 5 4 4 3 3 2 2 2 2 1 1
36 37 38 40 41 43 44 46 48 50 52 55 58 61 65 69 73 78 83 88 93 98 104 108 113 117 120 123 125 127 128 128 127 126 125 123 121 119 116 113 111 108 106 103 101 99 97 95 93 92 90 88 86 85 83 80 78 76 73 71 68 65 62 59 56 53 50 47 44 42 39 37 35 33 31 30 29 28 27 26 26 26 25 25 26 26 26 27 27 28 29 29 31 32 33 34 36 37 38 40 41 42 42 43 43 43 43 43 43 42 42 41 41 41 40 40 40 40 40 40 39 39 39 39 38 38 37 37 36 35 34 33 31 30 29 27 25 24 22 20 19 17 15 14 12 11 10 9 8 7 6 5 5 4 3 3 2 2 2 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 4 4 5 6 6 7 8 8 9 10 11 12 13 14 15 16 16 17 18 19 20 20 21 22 22 22 23 23 23 23 22 22 22 21 21 21 20 20 19 19 18 18 17 17 16 16 16 16 15 15 15 15 14 14 14 13 13 13 12 12 11 11 10 9 9 8 7 7 6 5 5 4 4 3 3 2 2 2 1 1 1 1
37 39 41 42 44 45 47 49 50 53 55 58 61 65 68 73 77 82 87 92 97 102 107 111 116 119 122 125 127 128 129 129 128 127 125 123 121 118 115 113 110 107 104 102 99 97 95 93 91 89 87 85 83 81 79 76 74 71 69 66 63 60 57 54 51 48 46 43 40 38 35 33 31 30 28 27 26 25 25 25 24 24 24 25 25 25 26 27 27 28 29 30 32 33 35 36 38 39 41 42 43 44 44 45 45 45 45 44 44 43 43 42 41 41 40 40 40 39 39 39 39 39 38 38 38 37 37 36 35 34 33 32 31 29 28 26 25 23 21 19 18 16 14 13 11 10 9 8 7 6 5 5 4 3 3 2 2 2 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 4 4 5 6 6 7 8 8 9 10 11 12 13 14 14 15 16 17 18 18 19 20 20 21 21 21 21 21 21 21 20 20 20 19 19 18 18 17 17 16 16 16 15 15 15 14 14 14 14 13 13 13 13 12 12 12 12 11 11 10 10 9 8 8 7 6 6 5 5 4 4 3 3 2 2 2 1 1 1 1 1
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