Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 7 7 7 9 10 10 10 9 9 10 9 7 8 9 8 8 9 6 5 7 8 8 10 10 10 11 10 9 9 10 11 11 9 8 7 8 8 9 9 8 8 8 8 8 9 8 8 7 8 8 8 7 7 7 8 9 9 9 8 9 10 9 8 8 7 7 7 8 8 9 8 7 7 8 8 nan
nan 5 5 6 5 5 5 6 8 10 11 11 9 8 9 9 8 8 9 9 9 11 9 7 7 7 7 9 10 11 11 10 9 9 10 10 10 9 8 8 7 8 9 9 8 8 8 8 8 8 8 7 7 8 9 8 7 6 7 9 9 10 10 9 9 9 10 9 8 7 6 6 7 7 8 9 8 7 7 8 nan
nan 5 5 6 6 5 4 5 7 9 11 10 8 7 7 9 9 8 8 8 10 11 11 10 8 7 7 7 9 10 10 10 9 9 9 10 11 9 8 7 7 9 9 9 8 8 8 7 7 7 7 7 7 8 9 8 6 6 8 9 9 9 9 8 9 9 10 10 9 8 6 6 7 7 7 8 8 8 8 9 nan
nan 7 6 5 5 5 6 5 6 9 10 10 9 7 7 8 9 8 8 7 8 10 11 11 10 9 8 8 9 9 9 10 10 9 10 10 10 9 7 7 8 9 10 9 8 8 8 7 7 7 6 7 8 8 9 8 6 7 8 9 9 9 8 8 8 10 10 10 10 9 8 8 8 7 7 7 7 8 9 10 nan
nan 8 8 6 5 5 5 5 6 8 10 10 9 8 8 9 8 8 8 7 7 8 9 10 11 9 9 9 9 9 8 9 10 10 10 10 10 9 7 6 7 9 10 9 9 9 9 7 7 7 7 7 8 8 8 7 7 7 9 9 7 8 7 7 8 9 10 10 10 9 9 9 9 8 7 7 7 8 9 10 nan
nan 8 8 8 7 5 5 5 5 8 9 8 9 9 9 9 8 7 8 8 8 8 8 9 10 10 9 9 10 10 9 9 9 10 11 10 9 8 7 7 8 8 9 9 9 10 9 8 7 7 6 7 8 8 8 7 6 8 10 9 7 7 8 7 8 8 9 9 9 9 8 9 10 11 10 8 8 9 9 9 nan
nan 8 8 8 8 7 6 4 4 7 7 8 8 9 9 9 8 8 8 9 9 8 7 7 7 8 8 9 10 10 10 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 8 8 7 6 6 7 8 8 8 7 7 8 8 8 8 8 8 7 7 7 9 9 8 8 7 9 10 10 9 9 10 11 9 nan
nan 9 10 9 9 9 8 5 5 6 7 7 8 8 10 9 8 9 9 9 9 8 7 7 7 6 6 9 10 10 9 10 9 9 10 11 11 10 9 8 8 8 8 9 9 10 9 8 7 7 7 7 7 7 8 7 7 7 7 7 7 9 10 9 8 7 7 8 9 9 8 7 8 8 9 9 10 11 12 11 nan
nan 8 9 10 9 9 8 7 5 5 6 6 7 9 9 8 8 9 9 8 8 8 8 8 8 7 7 8 9 9 9 9 9 10 10 12 12 12 10 8 8 8 8 9 9 10 10 9 7 7 7 8 8 7 7 7 7 8 8 7 7 9 11 11 11 8 7 7 8 8 8 8 8 8 8 8 10 11 12 11 nan
nan 6 7 8 8 8 8 8 6 5 5 6 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 9 10 9 9 8 8 10 12 12 13 12 10 8 8 8 8 9 9 9 10 9 8 7 7 7 8 8 7 7 7 9 9 8 9 9 10 12 12 10 8 7 7 8 9 9 8 8 8 8 9 10 11 10 nan
nan 6 6 7 7 6 6 7 6 5 5 7 8 8 7 8 8 8 8 9 9 8 8 8 10 10 8 8 10 9 9 8 7 9 11 12 12 11 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 9 7 7 8 9 8 9 10 10 10 11 11 10 9 8 7 8 10 11 9 8 8 8 9 10 10 10 nan
nan 8 8 8 8 7 6 7 7 5 6 7 8 8 8 8 8 7 7 8 7 7 8 9 10 10 8 8 11 10 9 8 7 9 11 12 12 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 7 8 9 8 8 9 9 9 9 10 10 10 8 7 7 9 11 10 8 8 8 9 10 10 10 nan
nan 10 9 9 8 8 8 7 7 6 6 8 9 9 9 8 7 7 7 7 6 7 8 9 9 8 8 9 11 10 9 9 8 7 9 11 12 11 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 9 8 9 9 9 8 7 8 9 9 9 9 9 8 7 6 8 10 10 9 8 8 8 10 10 10 nan
nan 12 11 10 9 9 10 7 6 6 6 8 9 10 9 8 7 6 6 7 7 7 8 8 7 6 6 8 10 10 10 10 9 8 9 10 12 11 10 9 9 9 10 10 9 7 7 8 8 8 9 9 9 9 9 9 9 9 9 7 7 7 9 10 10 9 8 8 7 7 8 8 9 9 8 8 9 9 10 10 nan
nan 11 11 11 11 10 10 9 6 6 5 7 8 9 10 9 7 5 5 7 8 9 9 8 7 7 7 7 9 10 11 10 9 9 10 10 11 11 10 9 10 10 10 10 9 8 8 8 8 8 8 8 9 10 9 10 10 9 8 7 7 7 9 11 10 9 8 8 7 7 8 8 8 8 8 8 9 9 9 10 nan
nan 10 10 10 11 12 10 9 7 6 5 5 7 8 9 9 8 6 5 5 8 11 11 10 8 8 7 7 6 8 11 11 10 10 10 11 11 11 10 9 8 9 10 10 10 9 8 8 8 9 9 8 9 10 10 10 9 9 8 8 7 7 9 10 10 9 9 8 8 8 8 8 7 6 7 7 7 8 9 9 nan
nan 10 9 9 11 13 12 10 8 5 5 6 7 7 8 9 8 8 7 5 6 10 10 10 9 8 9 8 7 6 8 10 11 11 11 11 11 11 10 9 8 9 10 10 10 9 8 7 8 9 9 9 9 10 11 10 9 9 8 8 8 8 8 10 9 9 8 8 9 9 8 8 7 6 5 5 6 6 7 8 nan
nan 10 9 9 11 12 13 10 8 6 6 8 8 6 7 8 8 8 8 6 7 9 10 10 9 8 9 9 8 7 7 8 11 11 11 11 11 11 11 10 9 8 9 9 9 9 9 8 7 8 9 9 9 10 10 10 9 9 9 8 9 8 8 9 9 8 8 8 9 8 8 8 8 7 6 5 5 6 5 5 nan
nan 9 9 10 11 12 12 11 9 7 7 9 9 7 7 8 9 7 7 7 8 10 10 10 9 8 8 8 9 8 8 7 8 10 11 11 11 12 11 10 9 8 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 9 8 8 9 9 9 9 8 9 8 8 7 8 8 7 6 6 6 6 5 5 nan
nan 7 8 9 10 11 11 11 10 8 8 8 9 8 9 10 9 8 7 7 9 11 11 11 10 8 7 8 9 9 9 7 7 8 8 10 12 12 11 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 11 9 8 8 8 9 9 9 10 9 8 8 8 8 8 7 7 7 7 6 7 7 nan
nan 7 8 8 9 10 10 10 8 8 9 9 9 9 9 10 10 8 7 8 9 10 10 12 11 9 7 7 8 9 9 8 7 6 7 9 11 12 11 10 10 10 10 10 10 10 9 9 8 8 9 9 10 9 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 7 7 8 8 nan
nan 7 8 8 9 10 9 8 7 7 8 8 8 8 10 11 11 8 7 8 9 9 9 11 12 10 8 8 8 7 8 8 8 7 6 8 11 12 11 11 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 9 7 7 9 10 nan
nan 8 8 7 8 9 9 8 7 6 6 7 6 7 9 11 12 10 8 9 10 10 10 10 11 11 9 8 8 8 7 7 8 8 7 7 10 11 10 10 10 10 10 9 9 10 10 10 10 9 8 8 8 8 9 10 10 10 9 9 9 8 7 6 8 9 9 9 9 9 10 11 12 12 11 9 8 7 8 10 nan
nan 8 8 8 9 10 10 9 8 8 7 7 6 6 8 10 11 11 10 10 11 10 10 10 10 11 10 9 9 9 8 7 8 8 9 8 9 10 9 10 11 10 10 10 9 9 10 9 10 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 10 11 12 11 10 10 10 10 8 7 nan
nan 9 9 9 9 10 10 9 9 9 9 9 8 7 7 8 9 11 12 11 10 10 9 10 10 10 9 9 9 9 8 8 9 9 10 9 9 9 9 9 10 10 9 9 8 9 10 10 9 9 10 10 9 8 7 8 8 8 9 9 9 9 10 10 8 8 8 7 7 8 9 11 11 10 9 10 12 11 9 7 nan
nan 10 12 11 10 10 10 9 8 9 9 10 10 9 8 8 8 10 11 11 11 10 9 9 11 10 9 9 8 8 8 9 10 10 10 11 10 10 10 9 9 10 9 9 9 9 9 10 9 10 10 10 9 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 10 10 10 10 10 10 10 10 9 9 nan
nan 12 14 13 12 11 11 10 9 8 9 10 9 9 9 9 8 10 11 11 11 11 10 10 10 10 10 10 10 8 7 8 10 11 12 12 11 11 10 10 10 10 10 9 9 9 10 10 9 8 9 9 9 9 9 8 8 8 9 9 9 9 9 8 9 10 10 10 9 10 10 9 9 9 10 11 9 9 9 9 nan
nan 12 13 14 14 12 12 12 10 9 10 10 9 8 9 9 9 10 10 9 9 10 10 11 10 10 10 11 12 10 8 8 9 11 12 11 11 10 10 10 11 11 10 10 9 8 10 11 9 8 9 10 12 13 12 10 8 8 7 8 9 8 7 8 9 10 10 9 9 10 10 9 8 8 8 9 10 10 9 9 nan
nan 11 12 13 13 12 11 11 11 11 10 10 10 8 9 9 9 10 10 9 8 8 9 10 10 10 11 12 12 11 10 9 9 10 11 11 10 9 10 11 11 10 10 10 9 8 9 10 9 10 13 15 15 15 13 9 7 7 7 8 9 7 7 10 10 10 9 9 10 10 10 9 8 7 7 8 8 9 9 7 nan
nan 10 12 12 13 12 11 10 10 10 10 10 10 10 10 9 10 11 11 9 8 7 8 9 9 10 11 11 12 12 12 11 10 9 10 10 9 9 10 11 11 10 10 9 9 8 8 8 9 11 18 21 16 14 11 8 4 4 7 8 9 9 10 11 10 10 10 11 10 10 9 9 8 7 7 7 7 8 7 7 nan
nan 9 10 11 12 13 12 9 8 8 9 10 10 10 10 10 11 12 12 10 8 8 9 9 9 9 9 10 11 11 11 12 11 10 10 9 9 10 10 11 12 11 11 10 8 8 8 6 8 13 23 23 16 12 10 8 4 2 4 6 9 11 12 12 10 10 10 11 11 9 9 9 8 7 7 8 8 8 7 8 nan
nan 7 9 10 12 13 12 10 8 8 9 10 10 10 10 10 11 12 12 11 10 10 9 9 9 8 8 8 9 10 10 11 10 10 10 10 9 10 10 11 12 12 12 10 8 8 7 6 9 17 24 21 15 12 10 9 6 4 3 3 7 11 13 12 11 10 10 10 10 8 8 8 8 8 8 8 8 8 7 8 nan
nan 6 8 10 11 12 11 10 10 10 10 9 9 10 10 10 11 11 11 12 11 11 12 11 10 8 7 6 7 9 11 11 11 9 9 9 9 9 9 10 11 12 12 11 9 8 7 8 12 20 22 18 14 12 10 9 8 7 5 4 7 11 12 11 11 10 9 10 9 7 7 8 8 8 8 7 8 8 7 8 nan
nan 6 7 9 10 10 10 10 10 11 9 9 10 10 11 11 12 11 11 11 12 12 13 13 12 9 7 6 7 9 10 11 10 10 10 10 10 9 9 9 11 12 12 11 10 8 7 9 14 21 21 15 13 12 11 10 9 10 10 8 9 11 10 10 10 9 9 9 8 7 6 7 8 8 8 7 7 7 8 10 nan
nan 8 8 8 9 9 9 10 11 10 9 8 9 10 12 12 11 11 11 11 12 13 14 13 12 10 8 8 9 10 9 8 9 10 11 11 10 10 9 10 11 11 11 11 10 8 8 9 13 23 25 17 13 12 11 10 11 12 13 12 10 8 7 8 9 9 9 9 8 6 7 8 9 9 9 9 8 9 11 13 nan
nan 9 9 9 8 8 9 10 10 10 10 10 10 12 13 13 12 12 11 11 11 12 12 12 11 10 8 9 11 11 9 7 8 10 10 11 11 11 11 11 11 11 10 10 9 8 8 10 15 23 24 17 13 12 12 12 12 13 13 11 7 5 6 7 9 10 11 10 8 6 8 9 9 9 9 9 11 13 14 14 nan
nan 9 9 9 9 9 9 10 10 11 11 11 11 12 13 13 13 12 11 11 10 11 10 10 11 10 10 10 10 10 8 7 6 7 9 10 11 12 12 11 11 10 10 9 9 9 10 11 16 22 20 16 13 13 14 14 14 13 12 9 4 4 6 9 10 10 11 11 8 7 9 10 10 9 9 10 13 14 15 14 nan
nan 9 9 10 10 9 9 10 11 12 12 11 12 12 11 12 12 11 11 10 11 11 9 10 11 10 9 10 10 9 8 7 5 6 7 9 11 12 11 11 11 10 10 9 8 8 10 12 17 22 20 16 14 14 15 15 14 13 11 7 4 5 7 9 11 11 10 10 9 9 10 10 10 9 9 10 12 12 12 11 nan
nan 10 10 11 11 10 10 11 12 12 11 11 11 11 11 11 11 10 9 10 11 11 9 10 12 11 10 9 10 9 9 8 6 5 6 9 12 12 11 11 11 10 9 9 9 8 9 12 20 24 21 17 14 15 15 14 13 12 9 5 2 3 6 8 10 10 10 9 9 9 9 9 9 9 9 11 11 10 9 8 nan
nan 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 11 10 10 11 10 10 10 9 8 9 13 13 12 11 10 10 9 10 10 9 9 13 22 25 21 16 14 14 14 13 12 10 7 4 3 4 5 8 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 8 nan
nan 9 10 11 11 11 12 12 11 11 10 9 10 10 9 9 10 10 10 10 10 9 8 8 9 9 9 11 13 13 13 12 12 13 12 11 13 14 13 12 10 9 9 10 10 9 10 16 25 26 21 16 14 13 12 10 9 8 6 4 2 2 5 9 9 8 8 8 8 9 8 9 9 9 10 10 10 10 10 9 nan
nan 10 10 10 11 11 11 12 11 10 10 10 9 9 10 10 10 10 11 10 10 9 7 7 9 9 7 9 12 14 14 12 11 12 12 12 13 13 12 11 11 10 10 10 10 10 12 18 23 24 20 16 14 12 10 8 6 5 3 -0 -1 2 8 9 9 8 8 8 9 9 9 9 10 10 9 8 9 9 10 11 nan
nan 10 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 9 8 10 11 10 10 10 11 11 12 11 10 10 11 12 14 13 12 11 11 11 11 12 12 13 16 17 17 18 18 17 13 10 8 6 5 4 2 -0 1 5 10 9 9 8 9 10 10 10 9 9 9 10 10 9 9 9 10 11 nan
nan 10 10 11 11 12 12 11 11 11 11 10 10 10 10 9 9 9 8 8 8 9 11 13 12 10 11 13 12 11 11 11 10 11 13 13 14 15 14 13 12 11 11 13 14 15 17 17 14 13 15 16 14 10 7 5 4 4 2 1 3 7 9 8 7 8 10 11 11 9 8 8 9 9 10 10 10 10 11 13 nan
nan 10 11 11 12 12 12 11 11 11 10 10 10 9 9 8 9 8 8 8 8 10 13 14 12 10 11 12 12 12 12 13 12 12 14 14 15 15 15 15 13 11 10 12 13 13 14 16 13 10 11 17 17 11 7 6 4 -0 -3 -1 2 6 7 7 7 8 9 9 9 8 7 8 9 9 9 10 11 11 13 15 nan
nan 11 12 13 13 12 12 12 11 11 10 9 8 8 8 9 9 9 9 9 8 10 13 14 13 11 10 11 12 12 13 14 14 14 13 14 16 16 16 15 13 12 11 12 12 12 12 13 13 12 12 16 16 12 8 5 2 -1 -3 -1 4 7 7 7 7 7 8 7 7 8 8 9 10 10 11 11 12 12 14 17 nan
nan 13 14 14 13 12 12 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 11 12 13 12 11 11 11 12 12 13 14 14 13 14 15 15 15 15 13 13 15 15 11 9 12 12 13 13 13 15 13 11 7 3 2 2 3 3 6 8 7 7 8 8 7 7 7 8 9 10 11 11 12 12 11 12 13 16 nan
nan 14 15 14 13 12 11 11 10 10 9 9 9 9 10 10 9 9 9 10 10 10 10 11 11 11 12 12 11 11 11 12 13 13 13 13 13 13 14 15 14 15 17 17 9 5 10 12 13 12 11 12 13 12 9 5 4 4 3 4 5 7 8 8 9 9 8 7 7 7 9 10 11 12 12 12 11 11 11 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
50 54 57 58 54 50 53 65 78 72 52 36 30 30 27 16 4 0 0 0 1 5 18 45 62 71 74 72 67 66 75 85 94 105 118 125 109 83 61 46 35 26 19 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 21 21 18 17 18 18 15 11 13 21 30
45 45 46 49 51 51 53 62 77 79 59 37 25 23 22 13 2 0 0 0 1 2 6 25 44 60 71 76 74 71 75 81 89 99 111 118 106 84 62 46 34 25 16 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 4 8 9 10 12 13 11 5 2 2 7 14
44 40 38 41 47 50 52 58 73 82 66 40 22 17 16 11 2 0 0 1 4 9 12 20 34 50 64 75 78 76 76 79 84 92 101 108 101 84 64 46 33 22 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 0 0 1 1 2 4 5 4 2 0 0 2 5
41 36 30 31 37 42 46 50 60 71 64 43 23 14 11 7 2 0 0 3 11 22 29 34 40 47 56 65 72 74 75 78 81 86 92 98 96 82 64 46 32 19 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 11 6 2 0 0 0 0 0 1 1 1 0 0 1 2
31 26 18 17 22 28 34 39 48 57 57 44 28 15 10 6 3 1 0 3 11 27 44 54 56 54 51 53 59 64 68 73 78 83 85 88 89 78 60 41 25 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 16 20 15 6 2 0 0 0 0 0 0 0 0 1 1 1
18 14 8 6 10 15 23 30 38 45 47 42 32 20 12 7 3 1 0 1 6 18 39 58 66 64 56 50 50 51 56 64 74 82 80 79 77 67 50 31 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 20 19 12 5 1 0 0 0 0 0 0 0 0 0 0
7 5 3 2 4 7 14 22 29 33 35 36 34 26 16 9 4 1 0 0 1 5 19 39 56 66 65 59 53 47 47 55 66 75 75 70 65 54 38 20 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 14 11 6 3 1 0 0 0 0 0 0 0 0 0
2 2 2 1 1 2 7 13 21 23 25 28 31 29 20 12 5 1 0 0 0 0 4 18 37 55 65 67 61 52 47 48 54 62 66 64 58 48 33 15 4 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 6 6 4 2 1 2 3 4 5 5 1 0 0 0
0 0 1 1 1 0 2 7 12 14 16 19 23 24 20 13 6 2 0 0 0 0 1 7 18 32 47 58 60 55 47 42 42 44 50 54 54 48 35 17 4 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 1 2 1 0 1 2 6 12 18 19 11 4 2 0
0 0 1 1 1 0 0 2 5 6 7 9 13 15 15 11 6 2 1 1 2 2 3 4 7 12 22 36 45 49 46 40 33 28 32 40 47 46 35 17 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 0 0 0 0 0 0 0 2 9 18 23 19 12 6 2
0 0 1 1 1 1 0 0 1 1 2 3 5 7 9 8 5 2 1 1 2 4 5 6 6 6 8 13 25 38 44 40 30 18 17 27 36 36 27 13 4 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 5 11 16 17 13 9 4
0 0 0 1 1 1 0 0 0 0 0 0 1 2 4 5 4 2 1 0 0 2 5 9 12 11 6 4 11 24 36 37 28 15 13 19 25 25 18 8 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 1 2 4 9 16 21 19 16 12 8
0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 3 3 2 1 0 0 0 4 10 15 16 10 6 6 14 25 30 25 15 12 16 19 17 11 4 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 7 14 26 34 32 27 22 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 2 7 12 14 12 8 6 9 16 22 22 14 11 13 14 11 6 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 2 7 16 29 39 41 38 33 26
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 3 6 10 10 8 7 7 10 15 16 11 7 8 9 6 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 1 5 12 21 30 37 40 39 35
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 2 5 8 8 6 5 6 9 10 6 4 3 4 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 1 3 7 15 25 33 38 42 43
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 4 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 14 24 33 39 44 47
0 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 4 5 5 4 3 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 1 2 3 5 7 12 18 25 30 36
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 3 4 5 5 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 0 0 0 0 0 0 0 0 0 1 1 2 2 2 4 5 7 12
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 2 3 4 4 4 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
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 3 3 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 0 0 0 0 0 0 0 0 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 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 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 0 0 0
0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 22 44 67
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 39 70 89 96
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 36 76 106 113 111
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 18 51 86 111 118 118
0 0 0 1 2 3 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 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 2 9 26 51 75 94 109 120
0 0 2 5 7 8 7 6 4 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 2 4 4 4 2 1 0 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 3 8 20 34 49 64 78 100 121
0 1 4 8 11 12 12 10 8 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 8 8 7 5 4 3 4 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 2 7 17 29 39 49 60 74 97 121
0 3 7 12 16 18 18 16 13 9 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 8 10 11 10 8 6 5 5 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 2 7 14 23 34 46 59 74 96 118
1 5 11 18 25 28 28 25 20 13 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 8 11 12 11 10 8 5 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 1 3 6 12 25 42 59 76 95 112
4 11 20 29 36 39 38 33 25 16 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 6 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 3 13 29 49 66 82 95 104
12 23 34 43 48 48 44 36 27 18 11 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 8 24 47 68 80 92 98 99
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