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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 10 10 10 11 12 14 14 13 13 12 11 10 10 10 8 8 7 7 8 9 11 12 12 12 11 11 10 10 10 11 12 13 14 13 11 8 6 5 6 7 9 12 14 15 15 14 13 12 11 10 10 9 9 9 8 8 8 8 8 8 9 9 10 9 9 9 10 11 13 14 14 15 14 12 11 10 9 9 9 9 9 9 9 9 9 10 10 9 10 10 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 nan
nan 8 9 10 9 9 10 11 13 13 13 12 12 11 11 10 10 9 8 8 7 8 8 10 11 12 13 13 12 11 10 10 10 11 12 13 12 10 7 4 3 3 4 6 8 10 12 14 14 13 13 12 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 8 9 9 10 11 12 13 13 13 13 12 11 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 8 9 9 9 9 9 9 9 9 10 10 9 nan
nan 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 10 10 9 8 8 8 9 10 11 12 13 13 12 12 10 9 9 10 10 11 12 11 8 6 4 3 3 4 6 7 8 10 12 12 12 12 12 11 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 11 12 14 14 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 nan
nan 11 10 10 11 11 11 11 11 11 11 11 12 13 13 12 11 10 10 10 10 11 11 11 11 11 12 12 11 11 10 8 8 8 8 10 11 11 10 8 5 4 4 5 5 5 5 7 8 9 11 11 12 12 11 11 10 10 9 8 8 9 9 9 9 9 9 10 11 11 10 10 9 9 10 11 13 14 14 14 13 13 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 10 10 nan
nan 10 10 10 11 11 12 12 11 11 11 12 13 14 13 12 11 11 10 11 12 12 13 12 11 11 10 10 10 10 10 9 8 7 7 9 10 11 11 9 7 6 7 7 6 5 4 5 5 7 9 10 11 12 12 11 11 10 10 9 8 8 9 9 9 9 9 10 11 11 11 11 10 10 10 10 11 12 14 14 14 14 13 12 11 11 11 11 11 11 11 11 11 10 10 9 9 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 nan
nan 11 11 11 11 11 12 11 11 12 12 13 14 14 14 13 12 11 11 11 12 12 13 12 11 11 11 10 10 10 10 10 9 8 8 9 9 10 11 10 9 9 9 9 8 7 6 6 5 6 7 9 10 11 12 12 12 11 11 10 9 9 9 8 9 9 9 9 10 11 11 12 11 11 10 10 10 11 12 13 14 14 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 nan
nan 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 12 12 11 11 11 10 10 10 10 10 11 12 12 13 13 13 12 11 10 9 8 7 6 7 7 8 10 11 11 12 12 12 11 10 10 9 9 9 9 9 9 10 11 11 12 12 11 10 9 9 10 11 12 13 13 13 13 12 11 11 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 nan
nan 13 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 14 14 13 13 13 12 11 11 10 11 12 12 12 12 12 11 11 10 10 10 12 13 14 16 16 16 15 14 13 12 11 10 8 7 7 7 8 9 10 11 11 11 11 11 11 10 10 9 9 10 10 11 11 12 12 12 12 11 10 9 9 10 11 12 13 13 12 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 13 13 13 13 13 14 14 13 13 12 12 13 13 13 14 14 14 14 14 13 13 13 12 11 10 10 11 11 12 12 12 12 11 11 10 10 11 13 14 15 17 17 17 16 16 15 14 13 11 9 7 6 6 7 8 10 10 10 11 11 11 12 11 11 11 11 11 12 12 13 13 14 13 12 12 11 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 nan
nan 12 12 12 13 14 14 13 11 9 9 11 14 15 16 15 14 14 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 15 15 15 15 16 16 16 14 11 8 7 7 8 9 9 10 10 11 11 12 13 13 13 12 12 12 13 13 14 15 14 14 13 12 11 11 11 11 12 12 12 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 10 11 11 11 11 11 11 10 10 10 10 nan
nan 11 11 11 12 13 13 11 7 4 5 10 15 18 18 17 15 14 13 13 12 12 12 12 12 13 13 13 12 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 13 14 17 19 18 16 12 11 11 11 10 10 10 10 10 11 13 14 14 14 14 13 13 13 13 14 14 14 14 13 13 13 13 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 11 11 11 10 7 4 6 10 15 18 19 18 16 15 14 14 13 12 12 12 12 13 13 12 12 11 10 9 9 10 12 13 13 14 13 13 13 12 12 11 10 10 10 11 14 17 18 16 15 15 16 15 13 11 11 11 11 12 13 14 15 16 15 15 14 14 13 13 13 13 12 12 12 12 13 13 13 13 13 13 12 12 11 10 10 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 12 12 12 12 11 11 11 nan
nan 10 10 10 10 10 10 9 8 8 9 11 14 17 18 18 17 16 14 14 13 13 13 12 12 12 11 11 11 11 10 10 10 10 12 13 14 14 14 14 13 13 13 13 12 11 10 10 12 15 15 13 13 16 19 18 16 13 12 12 12 13 13 14 16 17 17 16 16 15 15 14 13 12 12 11 11 11 11 12 12 13 13 13 13 12 11 11 10 10 9 9 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 nan
nan 11 11 10 10 10 10 9 10 11 12 12 13 15 16 16 15 13 11 11 11 13 13 13 12 11 10 10 10 11 11 11 11 11 11 12 13 13 13 13 13 13 13 14 13 13 12 12 13 14 13 11 12 16 18 19 17 15 14 13 13 13 13 14 16 17 18 18 18 18 17 16 15 14 13 12 11 10 10 10 11 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 8 9 9 10 11 11 11 12 12 12 13 12 12 12 12 nan
nan 11 11 11 10 10 9 10 10 11 11 11 11 12 12 12 10 8 7 7 8 10 12 12 11 10 10 10 10 11 11 12 12 12 11 12 12 12 12 12 12 12 13 13 13 13 12 13 13 13 13 13 14 15 17 17 17 16 15 14 14 13 12 12 13 14 15 19 21 21 20 18 18 17 16 15 13 12 11 10 10 11 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 11 11 12 nan
nan 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 8 6 5 5 7 9 10 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 14 15 15 16 16 15 16 16 15 13 12 10 9 9 12 17 21 22 20 19 19 18 18 17 16 15 13 12 11 11 11 11 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 10 11 11 12 12 11 11 11 11 11 11 11 11 nan
nan 10 10 10 9 8 8 8 8 9 9 9 8 9 9 9 9 8 7 7 8 10 11 11 11 11 11 11 11 11 12 12 13 14 14 13 12 11 11 11 11 11 11 11 12 11 12 12 13 13 13 13 14 14 15 15 15 15 16 16 15 13 12 10 8 8 11 15 19 20 18 18 17 18 18 18 18 17 16 14 12 12 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 10 11 12 12 11 11 11 11 11 11 11 11 nan
nan 10 9 9 8 7 6 6 7 8 8 8 8 8 10 10 10 9 9 10 11 11 12 12 11 11 11 12 13 13 14 14 14 15 14 13 12 12 11 11 10 10 10 11 11 11 11 12 12 13 13 13 13 13 14 15 15 15 16 16 15 13 13 12 10 9 9 11 14 15 15 16 16 17 18 18 17 17 16 14 13 12 11 11 11 11 12 12 13 13 12 12 12 11 10 10 9 8 9 9 10 11 11 12 11 11 11 11 11 12 12 12 nan
nan 9 8 7 7 6 6 6 6 7 8 8 9 10 11 11 10 10 10 11 12 12 12 11 10 10 11 13 14 15 15 15 15 14 13 12 12 12 11 11 10 10 10 9 9 9 10 11 12 13 12 12 11 12 13 14 14 14 15 15 15 14 14 14 12 10 9 10 11 13 15 16 17 18 18 17 15 14 14 13 12 12 11 11 11 11 11 12 12 12 13 13 13 12 12 10 9 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 nan
nan 8 6 5 5 6 6 7 7 8 8 10 12 13 12 11 9 10 11 11 11 11 10 10 9 10 11 13 15 16 16 16 14 13 11 11 11 12 12 11 11 10 9 9 8 8 8 10 12 12 12 11 11 11 11 12 12 12 13 13 14 14 15 14 13 12 11 12 13 15 16 17 19 19 18 15 13 12 12 11 11 11 10 10 10 11 11 11 12 12 12 13 14 14 13 12 11 11 10 10 10 10 11 12 12 12 12 12 12 12 12 13 nan
nan 6 5 5 6 7 8 9 10 10 10 12 13 13 12 10 9 11 11 11 11 11 10 10 10 10 11 13 14 15 15 15 14 12 10 10 11 12 12 12 11 10 9 9 8 7 8 10 11 12 12 11 10 10 10 10 10 10 11 12 13 14 14 14 14 14 15 16 17 17 17 17 18 17 15 13 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 13 14 15 15 15 14 13 12 11 11 11 11 12 13 13 13 14 14 14 15 16 nan
nan 7 7 7 9 9 10 11 12 12 12 12 12 11 10 10 10 11 12 12 11 10 10 10 10 10 10 10 11 12 14 14 13 11 10 10 11 12 12 12 11 10 9 9 7 6 7 9 11 12 12 11 10 10 10 9 9 10 10 11 12 13 14 14 15 17 19 20 20 18 16 15 15 15 13 12 10 10 10 10 10 10 10 9 9 10 10 10 11 11 12 13 15 16 17 17 18 17 16 15 14 13 13 13 15 16 17 17 18 20 20 21 nan
nan 9 10 10 10 9 9 10 12 12 10 9 9 10 10 11 11 12 12 12 11 10 9 9 9 8 7 7 8 9 11 12 11 11 11 10 11 11 12 12 11 10 9 8 7 6 7 9 11 12 12 11 11 10 9 9 9 9 10 11 12 13 14 15 18 20 22 22 20 17 15 14 14 14 13 12 11 10 10 11 11 11 11 10 10 11 11 11 12 13 13 14 16 17 19 20 21 22 21 20 20 19 18 18 19 20 21 22 23 24 25 25 nan
nan 10 10 9 8 7 7 9 10 10 8 7 8 9 10 10 11 11 12 11 11 11 10 10 9 8 7 7 8 9 10 9 10 10 11 11 11 12 12 12 11 10 10 8 7 6 7 8 11 13 13 12 11 10 8 8 8 9 10 11 11 12 14 18 21 23 23 22 19 16 15 14 14 14 13 12 12 12 12 12 13 13 13 13 13 14 14 14 15 16 16 17 18 20 22 23 24 25 26 26 25 25 25 24 24 24 24 25 26 25 25 25 nan
nan 9 8 7 7 8 9 10 10 8 7 7 8 8 9 9 9 9 10 11 12 14 14 13 11 10 10 10 10 10 10 9 9 9 9 10 11 12 13 12 12 11 10 8 7 7 7 8 11 13 13 12 11 9 8 8 8 9 11 11 11 12 14 17 20 21 21 20 18 16 15 14 14 14 14 14 14 14 14 14 15 16 16 17 17 18 18 19 19 20 21 21 22 23 24 25 26 27 27 28 28 28 27 26 26 25 24 24 24 23 22 21 nan
nan 9 9 9 10 12 12 12 10 8 8 8 9 9 9 9 9 9 10 13 15 16 15 13 11 10 10 10 10 10 10 8 7 6 7 9 11 12 13 12 11 10 9 8 8 7 7 9 11 12 13 12 10 9 8 8 8 10 11 11 11 12 13 14 15 17 19 19 18 17 16 15 15 15 15 15 15 15 16 17 17 18 19 20 20 21 22 23 23 23 24 24 24 24 24 25 25 26 26 26 26 26 26 24 24 23 22 21 20 19 18 17 nan
nan 10 10 12 13 13 13 10 8 7 9 10 11 11 10 10 10 11 13 15 15 14 12 10 10 10 9 8 8 7 6 4 2 3 5 8 11 12 12 12 10 9 8 8 8 7 8 9 10 12 13 12 10 9 8 8 9 10 11 11 11 12 12 13 14 17 21 21 20 18 17 16 16 16 16 16 17 17 18 18 19 20 21 22 22 23 24 25 25 25 25 25 25 25 25 24 24 24 23 23 22 22 22 21 20 19 17 16 15 15 14 14 nan
nan 10 11 12 12 12 10 8 7 8 10 12 12 12 11 11 11 12 14 14 12 10 9 9 10 10 9 8 6 3 1 -1 -1 1 5 9 11 12 12 12 10 9 9 9 9 8 8 9 10 11 12 11 10 9 8 8 9 10 11 12 12 12 12 13 17 21 24 24 22 19 18 17 17 17 18 18 18 19 19 20 20 21 22 23 23 24 24 25 25 25 25 25 24 24 24 23 22 21 20 19 18 17 17 17 15 14 13 13 13 12 12 12 nan
nan 11 12 12 11 11 9 8 8 10 12 13 13 13 12 12 12 14 14 12 10 9 9 10 11 10 10 8 5 2 -0 -0 2 5 9 12 12 13 12 11 10 9 9 9 8 8 9 9 10 12 12 11 10 9 8 8 9 10 11 12 12 13 13 15 19 22 24 24 22 20 19 18 18 18 19 19 20 20 20 21 21 22 22 22 23 23 23 23 23 23 23 23 22 22 22 21 20 18 17 16 15 14 14 13 12 12 11 11 11 11 10 10 nan
nan 12 12 12 12 11 10 10 11 12 13 14 14 14 13 13 14 15 15 15 14 13 13 13 12 12 10 9 7 6 6 7 10 14 16 16 15 14 13 11 10 9 9 8 7 8 9 9 11 12 12 12 11 9 8 8 9 10 12 13 13 13 14 15 17 19 21 23 22 20 19 19 18 19 19 20 20 20 20 20 21 21 21 21 21 21 21 21 21 20 20 20 19 19 18 18 17 15 14 13 13 12 12 11 11 10 10 10 10 9 9 9 nan
nan 12 12 11 10 10 9 11 12 13 14 15 15 15 14 14 15 17 18 20 20 19 18 17 16 14 13 12 11 11 12 14 17 20 21 19 17 14 12 11 10 9 8 7 8 9 9 9 11 11 12 12 10 8 8 8 9 11 12 13 13 13 14 15 15 16 18 21 21 21 20 19 18 19 19 19 20 20 20 20 20 20 20 20 19 19 19 18 18 17 17 17 16 16 15 14 14 13 12 11 11 11 11 10 10 10 9 9 9 9 8 8 nan
nan 10 8 7 6 7 8 11 12 13 14 14 16 16 16 16 17 19 21 22 22 22 21 20 19 17 16 15 14 14 15 16 18 19 19 17 14 11 9 9 9 9 8 8 9 9 9 9 10 10 11 10 8 7 7 7 9 11 12 13 13 13 13 14 14 15 17 18 19 20 20 18 18 18 18 19 19 18 18 18 18 18 18 18 17 17 16 16 15 15 14 14 14 13 13 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 nan
nan 7 4 4 4 6 9 12 13 12 12 13 16 18 18 19 19 19 20 21 22 22 22 21 19 18 17 16 15 14 15 15 16 16 14 12 9 7 6 7 9 10 10 10 9 9 9 9 9 9 10 9 8 8 7 8 10 11 12 12 12 12 12 13 14 15 15 16 18 19 19 18 18 18 17 18 17 17 17 16 16 16 16 16 15 15 14 14 13 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 9 9 8 8 7 7 7 7 nan
nan 6 5 6 7 9 11 13 13 12 12 12 15 18 19 20 20 20 21 21 20 20 20 18 17 16 17 17 16 16 15 15 13 11 10 8 6 5 6 8 11 13 13 12 11 10 9 9 8 9 9 9 10 9 9 10 10 11 11 11 10 11 11 13 14 14 14 14 17 18 18 19 18 17 16 16 16 16 15 15 15 15 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 8 6 4 1 -2 -3 -2 nan
nan 8 8 9 10 11 11 12 13 13 12 12 13 15 17 20 23 25 25 22 19 17 15 14 13 14 16 17 17 17 15 14 11 9 8 7 6 6 7 9 12 14 14 14 13 11 10 10 9 10 11 11 11 10 10 10 10 10 11 10 9 10 10 12 13 14 14 15 16 16 17 18 17 15 15 15 15 15 14 14 14 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 6 4 0 -4 -9 -13 -15 -14 nan
nan 9 9 10 10 10 11 11 12 13 12 11 11 12 14 19 25 28 27 22 17 14 12 11 11 13 16 17 17 16 14 12 11 9 8 7 7 7 8 10 12 14 15 15 14 13 11 10 10 11 12 12 11 10 9 9 10 11 11 10 9 9 10 11 12 14 15 15 14 13 13 13 12 11 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 8 6 5 3 1 -4 -9 -13 -15 -16 -15 -13 nan
nan 8 9 9 10 11 11 13 14 13 10 9 9 10 13 18 24 26 25 20 15 12 10 10 11 14 15 15 15 15 13 12 11 11 9 8 9 9 10 11 12 12 14 15 15 13 12 11 11 12 12 11 10 8 8 8 9 10 10 10 9 9 9 10 11 13 14 13 12 9 7 5 3 3 5 7 8 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 9 9 8 7 6 4 3 1 -2 -7 -11 -13 -13 -11 -8 -5 -3 nan
nan 8 9 11 13 14 14 15 15 13 7 5 6 9 13 17 21 23 22 18 15 12 12 12 14 15 15 14 14 14 13 13 12 11 10 10 11 11 11 11 10 10 12 14 14 13 12 11 12 12 12 10 8 7 6 7 7 8 8 9 9 9 9 9 11 12 13 12 10 7 4 0 -3 -2 -1 0 1 1 4 6 8 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 6 5 3 2 1 -0 -2 -5 -8 -10 -9 -6 -2 1 4 4 nan
nan 9 10 13 15 16 15 15 15 11 4 2 4 7 12 17 21 22 21 17 15 14 14 15 15 15 14 14 13 13 13 12 12 11 10 10 10 10 10 10 9 8 12 14 14 13 12 11 12 12 11 9 7 6 5 6 6 7 7 7 8 8 9 10 12 12 12 11 10 8 5 3 2 1 -0 -2 -3 -4 -1 3 6 8 8 8 8 8 7 7 7 7 7 6 5 5 5 4 3 2 1 1 -0 -1 -2 -2 -3 -3 -1 1 4 6 6 6 nan
nan 10 11 13 15 14 13 13 13 9 5 3 4 8 14 19 21 21 18 16 15 16 16 15 14 14 13 13 13 13 12 12 12 11 10 10 9 9 9 9 7 9 11 13 13 13 11 11 12 11 10 8 7 6 6 6 7 7 7 7 7 7 9 12 13 13 12 11 10 9 8 8 8 7 5 3 1 0 1 2 4 6 6 7 7 5 4 4 5 6 6 5 4 4 4 3 2 2 1 1 2 2 2 2 1 2 3 5 7 8 8 7 nan
nan 11 12 12 13 12 12 12 12 10 8 8 8 11 15 18 19 16 14 14 15 16 15 14 13 13 13 13 13 12 12 12 12 11 11 10 9 9 9 8 7 8 10 11 14 14 12 12 12 10 8 7 6 6 7 8 8 8 8 7 7 7 10 11 12 12 12 11 10 10 10 11 11 10 9 8 7 7 5 4 4 2 0 -1 -2 -3 -3 -1 2 5 6 6 6 5 5 5 5 5 4 4 5 6 6 5 4 5 6 8 9 9 9 9 nan
nan 12 13 12 12 12 12 13 13 12 11 11 11 13 14 15 14 12 11 13 14 14 13 12 13 13 13 13 13 12 12 12 12 12 12 12 11 10 9 7 6 7 9 12 15 14 13 12 10 9 8 7 7 7 9 10 11 10 9 9 8 9 10 10 11 11 11 10 10 10 11 12 12 11 11 10 10 9 7 4 1 -3 -7 -10 -12 -10 -8 -5 -1 2 4 5 6 7 7 8 8 8 7 7 8 9 9 8 9 10 10 10 11 10 10 9 nan
nan 13 13 12 12 11 12 13 13 12 11 12 13 14 14 13 11 10 10 12 12 12 11 12 13 14 14 14 13 13 13 12 12 13 13 12 12 10 9 7 7 8 9 14 16 15 14 11 9 8 8 8 8 9 11 12 12 11 10 9 9 10 10 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 7 5 1 -3 -7 -9 -8 -7 -5 -3 -3 -4 -4 -3 -0 2 5 8 9 9 9 9 10 10 11 12 13 14 14 13 12 11 10 9 nan
nan 12 12 11 10 10 12 12 12 12 11 12 13 13 13 11 9 9 9 10 10 10 11 13 14 14 15 15 14 13 13 13 13 13 13 12 11 10 9 8 8 8 10 15 16 15 14 10 9 10 10 10 10 11 12 12 12 11 11 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 9 8 7 6 4 2 1 1 2 2 2 -0 -3 -7 -10 -9 -7 -4 -2 1 4 6 8 9 10 11 12 13 14 15 15 15 14 12 11 10 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 11 11 9 8 8 8 9 10 12 13 14 14 15 15 16 15 14 13 12 12 12 12 11 10 10 9 8 8 8 10 13 14 15 14 11 11 12 11 10 10 11 12 12 12 11 11 10 10 9 9 9 10 10 10 11 11 11 10 11 11 11 11 10 9 7 7 7 7 7 7 8 7 6 5 3 0 -2 -4 -5 -5 -6 -6 -6 -4 -1 2 5 8 11 12 12 13 14 15 16 16 14 13 12 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 11 13 14 14 13 12 14 16 17 16 14 12 12 11 11 11 11 10 9 9 8 6 7 9 12 14 16 15 14 13 12 10 10 11 11 12 12 12 11 11 10 10 10 10 11 11 11 11 11 10 10 11 12 12 11 11 10 9 8 8 8 8 9 9 9 8 7 7 6 5 5 5 3 2 -1 -3 -6 -7 -5 -2 3 7 9 10 11 12 13 14 16 18 18 17 15 nan
nan 9 9 9 10 10 10 9 9 10 10 10 10 10 9 8 7 8 10 13 14 14 12 10 11 14 16 16 14 12 11 11 11 11 12 12 11 10 9 7 6 8 10 13 17 19 17 16 14 11 11 11 12 12 11 12 12 11 10 10 10 11 11 12 12 12 11 10 10 11 12 12 12 12 12 11 10 9 9 8 9 9 9 9 8 8 8 8 7 7 7 6 5 4 2 0 -1 -0 2 4 5 6 7 9 10 11 13 15 18 19 19 18 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 12 14 14 12 9 10 12 14 15 14 12 11 11 12 12 13 14 15 14 12 10 9 9 10 12 16 19 20 20 18 14 12 12 12 12 12 11 12 11 10 10 10 10 11 11 11 11 10 9 9 10 11 12 12 12 13 12 11 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 5 5 5 3 0 -3 -3 -1 1 4 7 10 13 15 17 18 18 nan
nan 10 9 9 9 9 10 9 9 9 10 10 10 10 9 8 8 10 11 12 12 11 10 11 13 14 14 13 12 12 12 13 14 15 17 17 16 15 13 11 12 13 16 19 21 22 22 20 16 14 14 13 13 12 12 11 10 9 9 10 10 10 10 10 9 8 8 8 9 10 11 11 12 12 11 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 6 7 6 4 -1 -8 -12 -11 -9 -7 -4 -0 3 6 8 10 13 17 nan
nan 10 10 9 9 10 10 9 9 9 10 10 10 10 9 8 7 8 10 12 13 12 12 13 13 14 14 14 14 14 14 14 14 15 17 18 18 16 14 14 14 15 17 19 21 22 23 22 19 17 15 13 13 12 12 10 9 8 9 9 9 9 9 8 7 7 7 8 9 10 10 10 11 10 10 10 9 9 9 9 9 10 10 10 10 9 8 8 8 7 7 7 7 7 7 6 5 2 -2 -6 -7 -7 -6 -6 -5 -5 -5 -4 -2 2 6 11 nan
nan 11 10 10 10 10 10 10 9 9 9 9 9 9 8 7 8 9 11 13 15 15 14 14 14 14 14 15 15 15 14 13 13 14 16 17 18 17 16 14 14 15 17 19 20 23 24 23 22 19 16 13 12 12 11 10 8 7 7 7 7 7 7 6 6 6 7 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 7 7 8 7 7 7 7 6 4 3 3 4 3 3 2 1 -2 -5 -6 -5 -3 -1 1 nan
nan 11 11 10 10 10 10 10 9 9 8 8 8 8 8 9 11 12 14 16 16 16 15 14 14 14 14 15 16 16 15 14 12 12 13 15 16 17 16 15 14 15 16 18 20 22 24 24 24 21 17 15 13 12 11 9 8 6 6 6 6 6 6 5 6 6 7 8 9 9 9 10 9 9 9 8 8 8 8 9 9 9 10 11 11 10 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 6 5 3 1 0 -0 -2 -3 nan
nan 12 11 11 11 11 10 10 10 8 8 8 9 10 12 13 14 15 16 16 16 15 14 14 13 13 13 15 17 17 17 15 12 10 10 11 13 15 15 15 14 15 15 17 19 21 22 24 25 24 21 17 14 11 10 9 7 6 6 6 7 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 11 10 11 10 10 9 9 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 3 1 nan
nan 11 12 12 12 12 11 11 10 9 9 11 13 14 15 15 15 14 14 14 14 14 13 13 12 12 12 15 17 18 17 15 11 9 7 7 9 11 13 14 14 15 15 16 18 19 21 24 26 25 23 20 15 12 11 9 8 7 7 8 7 7 7 7 8 8 9 9 8 8 8 9 9 9 9 9 9 8 8 9 9 10 11 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 7 6 nan
nan 11 12 13 13 13 12 12 11 11 12 13 15 16 15 13 12 12 12 12 13 13 13 12 12 11 12 14 16 17 16 14 11 10 7 6 6 7 9 11 14 15 16 16 17 18 20 23 24 24 23 21 18 16 15 12 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 11 12 14 14 14 13 12 11 12 14 15 15 14 12 11 10 10 11 12 12 12 12 12 12 12 12 13 14 15 14 13 12 11 9 8 7 6 6 8 11 14 15 15 16 17 19 21 22 22 23 22 21 20 18 15 13 12 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 10 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 nan
nan 11 12 14 15 15 14 12 12 13 14 14 13 12 11 10 10 10 11 12 13 13 12 12 12 12 13 13 14 14 14 13 12 11 10 9 8 7 6 7 9 11 13 14 15 16 18 19 20 21 21 21 21 21 20 17 15 14 12 12 11 10 10 10 9 9 9 8 9 9 9 9 9 9 10 9 9 8 7 6 7 8 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 12 14 15 15 14 12 12 12 12 13 12 11 10 10 10 11 11 12 13 13 13 12 12 12 13 14 14 14 14 13 12 11 10 10 9 9 7 7 8 10 11 12 13 14 16 18 19 19 20 20 20 20 19 17 16 14 13 12 12 11 11 11 10 9 9 9 9 10 9 9 9 9 9 9 8 8 7 7 8 9 10 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 12 12 13 14 14 13 12 11 11 11 11 11 10 10 10 11 11 12 13 13 14 13 13 12 12 13 14 15 15 15 14 12 11 10 10 10 10 9 9 9 9 10 10 11 12 14 15 16 17 18 19 19 18 17 16 16 14 14 13 12 12 12 12 11 11 11 10 10 9 8 8 8 9 8 8 8 9 9 10 10 11 11 12 11 10 10 10 10 10 11 11 12 12 11 10 9 9 9 10 11 11 12 12 12 12 13 13 13 13 13 12 nan
nan 11 12 13 14 14 13 12 11 11 11 11 10 10 10 10 11 12 12 13 14 14 13 13 13 12 12 13 14 14 14 13 12 11 10 10 10 10 10 11 10 10 10 9 9 10 12 12 13 14 16 18 19 18 17 16 15 14 13 13 13 13 14 14 13 12 12 12 11 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 11 12 13 13 12 10 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 nan
nan 11 11 12 13 13 13 13 12 11 11 10 10 10 10 10 11 12 13 13 13 13 13 13 13 13 12 12 13 13 13 12 12 11 10 10 10 10 11 11 11 11 10 9 9 10 11 11 10 11 13 16 18 19 18 17 15 13 13 13 13 14 15 15 14 13 13 12 10 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 9 10 10 10 11 12 13 12 10 9 8 9 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 nan
nan 11 11 11 12 12 13 13 13 12 11 10 10 10 10 10 11 12 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 11 11 9 9 11 13 14 17 18 17 16 16 16 15 14 14 14 16 16 15 14 11 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 12 11 9 8 8 8 9 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 12 13 13 13 13 11 10 10 10 10 10 11 12 12 13 13 13 13 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 10 9 9 9 10 12 13 14 15 16 17 17 16 16 17 18 19 19 16 12 10 10 10 10 11 11 11 10 10 10 9 9 8 8 9 9 10 10 10 10 11 11 10 9 8 8 8 9 10 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 nan
nan 11 11 11 11 11 12 13 13 13 12 11 10 10 10 10 11 12 12 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 11 11 11 10 9 9 10 10 11 11 10 10 9 8 8 8 8 9 10 11 12 13 14 15 16 19 21 19 16 13 12 11 11 11 11 10 10 10 10 9 8 8 8 9 9 10 10 10 10 11 11 10 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 nan
nan 11 11 11 11 11 11 12 13 13 12 11 10 10 10 10 11 11 12 13 13 13 13 12 11 11 11 12 12 12 11 11 11 10 11 11 11 12 12 12 12 11 11 10 9 9 9 10 11 11 11 11 9 8 7 6 5 5 4 5 6 7 8 9 14 18 18 18 16 14 13 12 12 11 11 11 10 10 9 9 8 9 9 10 10 10 10 9 10 10 10 10 11 12 12 11 10 9 8 9 9 9 9 10 10 10 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 12 13 13 12 11 10 10 10 10 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 10 11 11 11 11 9 8 7 6 5 4 3 3 2 2 3 6 10 13 17 19 18 18 16 13 12 11 12 11 11 10 10 10 10 11 11 11 11 10 10 9 9 9 11 13 12 12 11 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 3 4 4 3 1 1 2 2 1 0 1 1 0 0 0 0 0 0 0 0 0 1 4 10 14 19 27 37 45 56 77 108 139 153 150 148 157 179 202 225 231 227 223 222 205 174 134 109 113 129 143 162 176 174 158 164 184 207 236 293 360 517 618 639 674 557 400 340 344 353 377 320 294 314 361 413 458 492 509 514 519 510 495 482 478 489 528 574 617 658 695 723 767 809 852 901 974 1055 1115 1158 1185 1216 1255 1278 1283 1272 1261 1240 1199 1133 1036 909
6 8 10 10 10 12 9 8 7 6 4 4 4 3 2 0 0 0 0 0 0 0 1 5 11 17 24 35 45 52 58 67 83 118 135 134 126 128 145 155 161 166 169 171 180 175 159 139 124 136 150 157 158 164 162 136 133 132 125 133 189 251 337 423 476 571 473 359 308 321 338 387 374 352 365 425 484 519 533 535 538 536 533 529 524 526 537 561 590 620 650 677 704 739 778 820 870 943 1013 1069 1101 1118 1162 1199 1222 1232 1215 1204 1188 1155 1086 981 869
9 9 8 6 7 7 10 12 11 11 12 12 12 10 7 3 3 2 2 2 1 4 3 5 11 19 29 43 57 65 67 66 73 100 114 114 106 99 103 104 108 110 107 104 113 125 137 146 139 161 183 196 204 215 191 166 145 122 94 118 150 186 228 268 310 350 306 275 325 422 408 423 441 440 445 495 551 589 599 589 582 573 566 561 560 571 580 591 606 627 645 664 690 720 751 789 834 894 959 1016 1042 1070 1098 1122 1139 1147 1148 1151 1146 1118 1043 943 865
9 7 5 3 3 6 8 9 9 10 15 19 21 21 19 17 13 10 10 13 12 16 17 17 19 25 37 54 70 79 76 68 69 77 84 83 75 73 75 77 79 77 64 57 62 73 89 125 132 151 178 209 261 270 242 202 163 147 117 113 118 135 179 221 243 223 198 224 338 411 447 476 506 528 539 569 604 636 648 641 630 615 596 585 586 594 600 605 615 629 642 656 671 693 722 761 799 842 905 949 976 996 1016 1044 1076 1098 1111 1121 1110 1064 980 904 857
11 10 7 4 2 3 3 4 4 6 11 16 23 29 27 28 26 24 24 31 33 38 42 44 46 48 58 70 81 87 76 68 62 58 56 53 52 54 58 62 64 56 40 31 31 37 42 63 84 107 136 173 234 266 270 247 168 171 152 132 125 143 176 213 219 199 186 238 288 345 411 474 502 524 549 576 600 625 642 645 643 636 609 596 595 601 608 609 617 629 642 650 651 678 717 747 768 793 845 883 913 936 955 995 1037 1073 1100 1111 1073 1012 949 892 837
13 13 11 8 5 3 2 1 1 2 4 7 14 22 28 32 34 39 44 58 69 75 77 80 85 86 84 83 83 84 71 57 45 39 37 39 43 48 51 55 53 42 30 24 26 28 27 30 39 53 72 101 144 194 252 308 214 189 167 143 136 185 202 216 217 199 180 223 269 315 365 415 435 459 492 528 557 583 601 605 604 627 607 592 587 588 597 602 606 617 630 636 641 664 691 715 727 757 793 827 859 883 907 945 986 1023 1043 1051 1025 980 930 880 827
13 14 14 12 9 5 2 1 0 0 1 1 4 10 16 23 33 44 59 77 94 107 113 109 111 107 95 81 74 69 56 40 28 25 29 37 44 48 50 51 45 35 27 24 26 25 22 20 20 21 27 40 60 94 151 250 239 215 189 159 137 163 196 224 237 218 198 208 238 274 305 336 355 373 400 449 491 522 539 541 533 550 555 557 559 557 560 562 572 589 607 613 624 643 667 692 703 724 751 785 827 845 865 895 934 971 998 1006 993 965 929 889 838
14 15 16 15 12 8 4 2 1 1 1 0 0 2 6 13 24 34 53 74 97 117 103 110 117 112 92 67 59 54 42 28 19 20 28 38 45 46 50 52 45 35 27 24 24 22 20 19 18 14 12 13 17 19 60 133 186 218 234 248 207 169 167 219 247 248 241 232 224 243 261 275 286 299 323 367 406 434 452 461 465 478 494 510 524 527 528 529 536 555 573 587 603 625 653 672 686 698 719 764 801 816 831 859 899 933 958 961 945 930 915 893 869
15 16 15 14 12 9 7 5 4 3 3 3 4 6 9 11 13 18 28 45 69 93 98 103 110 110 92 66 53 48 43 31 24 24 29 33 34 37 45 47 46 41 37 33 28 23 22 24 22 16 11 8 9 11 24 57 107 171 226 263 251 199 146 196 223 243 247 232 218 221 229 242 258 261 279 304 328 344 359 365 377 400 426 441 458 477 493 499 498 515 534 551 571 608 630 645 661 678 696 731 757 775 795 832 867 898 913 904 879 867 875 897 912
15 16 15 14 13 12 12 9 7 6 5 5 7 11 16 19 19 17 20 31 42 58 69 78 85 92 85 74 61 51 48 36 30 27 27 30 34 40 43 47 51 50 49 46 40 35 32 31 26 21 16 9 8 9 13 23 43 100 174 241 268 234 159 148 154 174 198 181 178 181 186 193 201 210 230 253 272 281 292 303 313 327 352 365 388 412 431 451 455 467 485 505 518 551 588 612 621 636 653 678 707 740 773 810 841 863 869 855 836 833 849 870 883
12 13 13 14 15 16 16 14 12 9 7 5 7 12 17 23 29 30 28 28 31 35 40 44 46 54 60 68 71 65 54 41 30 25 24 27 33 41 44 45 49 49 50 48 44 37 35 32 26 21 20 12 9 8 8 9 11 46 104 173 233 227 170 121 108 137 143 138 140 139 131 129 129 140 161 188 210 222 234 251 269 283 301 321 347 378 401 404 410 418 429 453 475 506 539 569 569 577 591 621 665 712 754 789 821 844 843 823 793 779 793 792 779
7 6 7 8 12 13 14 13 11 7 5 3 4 6 10 18 29 37 40 39 34 29 26 24 19 22 30 43 59 65 57 42 29 23 22 24 28 35 42 43 45 48 49 47 44 36 31 27 23 19 17 13 9 8 8 7 6 18 52 111 173 181 158 121 94 121 119 112 107 107 92 81 73 71 85 116 134 143 155 176 194 223 253 276 294 330 350 340 336 352 362 389 421 444 461 496 509 523 545 580 627 678 729 775 806 811 795 762 720 684 675 660 645
4 4 4 4 5 6 7 7 6 4 3 2 3 3 5 9 18 31 42 47 46 38 28 18 10 7 11 20 35 48 50 39 24 18 17 22 27 31 36 37 39 45 50 48 45 39 33 27 22 19 18 16 13 10 7 7 7 8 20 70 116 146 158 149 134 147 133 105 88 95 80 67 60 59 64 75 82 80 76 94 116 142 173 206 219 242 258 257 249 281 303 319 345 380 395 421 444 466 491 532 582 631 681 726 753 750 725 684 638 597 567 543 545
3 2 2 3 3 4 3 4 3 2 1 1 1 1 2 4 7 15 26 38 41 35 26 17 9 4 3 7 15 26 32 27 16 12 14 22 31 36 37 35 36 39 43 43 43 41 37 31 26 24 21 16 9 6 6 7 8 10 11 37 71 113 150 164 155 123 96 90 83 82 75 69 69 72 72 71 68 64 54 55 66 78 95 136 158 164 184 214 202 218 246 264 269 308 336 357 376 400 438 484 526 573 633 682 701 700 676 633 580 537 519 526 552
3 2 2 2 2 2 2 2 1 1 1 1 0 0 1 2 2 4 8 11 12 12 14 12 9 7 5 4 5 12 17 19 18 18 21 27 35 40 40 39 38 37 37 37 38 38 37 32 27 25 21 15 9 7 7 9 10 10 10 16 34 65 99 120 128 111 77 60 56 58 53 42 50 62 74 79 75 70 59 50 49 57 58 88 126 139 128 159 168 170 184 216 221 239 262 287 315 348 388 434 487 547 608 649 669 663 640 602 560 534 535 567 630
4 4 3 3 2 2 2 2 2 1 0 0 0 0 0 0 1 3 3 4 5 6 7 7 8 9 9 7 6 9 16 22 31 33 34 39 44 48 46 43 42 39 36 31 29 31 32 28 21 19 21 17 12 8 7 9 12 14 11 7 11 31 56 68 74 67 29 14 16 29 43 36 32 36 51 68 68 61 55 45 39 51 56 62 85 117 101 106 121 127 126 149 163 175 193 220 257 304 347 395 449 500 558 591 595 596 591 577 567 566 570 613 683
5 4 4 4 4 3 3 3 3 3 1 1 1 1 1 1 2 2 2 2 3 3 5 6 7 8 8 9 9 10 13 22 36 42 43 45 54 54 50 47 45 43 33 24 21 23 23 21 17 16 19 19 15 10 7 8 11 12 11 9 8 20 31 35 35 30 13 3 0 7 26 24 22 17 18 32 32 34 37 39 32 37 50 55 54 77 79 72 76 94 94 98 109 128 155 178 204 246 289 323 364 404 461 514 540 554 567 568 558 565 593 623 665
5 5 4 4 4 5 5 6 5 4 4 3 3 3 3 3 3 3 3 2 1 2 3 4 5 5 6 7 9 12 14 23 36 46 50 50 53 53 50 47 42 34 21 11 9 11 11 12 13 12 12 14 13 9 7 7 9 10 9 8 7 9 11 13 16 12 6 4 3 2 9 19 20 10 4 6 7 8 11 20 19 20 29 44 41 47 57 58 57 75 82 89 97 107 131 146 159 178 213 258 315 354 388 452 492 507 518 522 516 530 555 585 613
7 6 5 5 5 5 6 6 7 6 6 5 5 6 6 6 7 7 6 5 3 2 2 2 2 3 4 5 8 12 15 23 34 43 52 57 55 49 43 40 30 18 6 2 2 3 3 5 8 8 7 7 6 6 4 5 6 7 6 5 5 5 5 7 9 6 5 6 6 2 2 5 7 2 1 0 0 0 0 4 8 12 18 30 32 30 33 41 46 58 71 82 86 90 104 116 131 158 200 241 293 338 347 364 418 447 458 478 493 505 514 530 548
9 8 7 6 6 6 7 7 8 9 8 8 8 9 9 9 9 9 8 6 4 3 2 2 3 3 3 4 6 10 15 22 32 44 49 47 39 30 25 26 19 9 3 2 1 1 1 1 2 3 4 4 4 3 2 2 3 3 3 3 3 3 4 6 10 7 4 7 7 2 0 0 0 0 0 0 0 0 0 1 4 8 13 18 22 24 24 26 28 32 36 38 49 62 79 98 120 163 206 225 231 276 319 366 388 400 409 407 410 413 418 439 456
10 9 9 8 7 7 8 9 10 11 11 11 11 11 12 11 10 9 8 6 5 4 3 3 3 3 3 4 5 8 12 19 27 37 37 30 18 9 7 9 8 5 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 2 2 3 4 5 7 7 4 2 2 1 1 0 0 0 0 0 1 4 10 13 17 21 23 22 20 15 12 15 20 34 50 66 85 118 155 186 201 189 213 217 238 275 286 299 286 262 265 306 371 407
11 11 11 10 9 9 9 10 12 13 13 13 13 12 11 10 9 9 8 8 7 6 5 4 3 3 3 4 5 6 10 17 28 34 31 20 6 2 1 2 3 2 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 3 5 9 13 12 13 14 11 6 2 2 3 7 19 23 24 26 28 26 20 12 9 13 24 36 46 48 51 73 90 105 132 147 146 124 101 111 123 145 166 196 244 250 295 344
12 13 12 11 10 9 9 10 12 13 13 13 13 12 10 9 9 9 9 8 7 6 5 5 5 4 4 4 5 5 7 15 27 34 31 16 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 2 8 18 32 40 42 43 42 37 31 27 18 16 23 28 28 31 32 28 19 11 9 10 14 18 19 13 9 8 16 26 45 65 70 58 59 58 63 76 85 115 174 167 147 173
14 14 14 13 12 11 11 10 11 12 13 14 14 13 12 11 10 9 9 8 6 6 5 5 4 4 4 4 4 4 5 11 20 28 30 15 7 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 6 25 42 52 55 58 65 77 86 80 52 31 20 18 18 20 20 17 11 5 2 0 1 3 1 0 0 0 0 3 6 14 24 34 41 35 32 38 32 27 39 46 28 30
15 15 15 14 14 12 11 11 12 14 15 16 17 16 15 12 11 10 8 7 6 5 5 4 3 4 4 4 3 4 4 7 13 21 24 16 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 0 1 13 28 39 53 59 64 75 93 88 60 32 12 5 4 5 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 6 7 3 0 1 3 1 1
16 17 17 17 17 15 14 13 14 15 18 20 20 19 17 14 11 9 7 7 6 6 4 3 3 3 3 4 4 4 4 5 8 17 18 14 7 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 5 18 41 61 62 47 32 26 29 23 13 4 1 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 0 0 0 0 0
17 18 20 21 19 17 16 15 16 18 20 20 20 20 19 15 12 9 8 7 6 5 4 3 3 3 3 4 4 4 4 5 7 13 16 13 7 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 9 31 39 31 16 7 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
19 20 21 20 20 19 18 18 18 20 20 20 19 17 17 15 12 9 8 7 7 6 5 4 4 3 3 3 4 4 4 4 7 9 10 8 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 1 2 7 10 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 0 0 0 1 1 1
20 21 22 22 22 23 22 21 22 23 23 22 19 20 18 16 14 11 10 9 7 6 5 5 5 4 4 3 3 3 3 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 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 2 2 2 3
20 22 23 24 25 26 28 27 27 26 24 23 20 18 18 17 16 13 12 11 9 7 6 6 5 4 4 3 3 3 3 3 3 4 6 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 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
21 22 23 24 26 28 31 30 29 27 24 22 20 19 18 18 17 15 14 12 11 9 7 6 5 6 5 4 4 3 3 3 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 6 7 7 8
22 22 23 25 26 30 32 32 31 28 26 24 22 20 18 18 17 15 14 13 10 8 6 6 5 5 5 5 4 5 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 6 7 8 9 10 10
22 22 24 27 30 34 36 36 32 28 26 25 24 23 21 20 18 16 12 10 7 6 5 4 3 3 4 3 4 4 4 3 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 1 1 1 1 2 3 4 5 7 9 10 11 13 15 15
24 23 24 29 34 39 42 42 34 31 28 28 31 30 28 24 20 16 12 7 5 4 3 3 3 3 3 3 3 4 3 3 3 3 2 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 2 3 4 5 6 7 9 11 12 12 14 17 19
28 26 29 35 37 37 36 34 32 31 30 33 38 37 36 30 22 17 12 7 4 3 2 2 3 3 3 3 3 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 1 1 2 2 2 3 3 4 5 7 8 10 11 13 14 14 15 17 20
29 29 32 33 31 28 27 27 25 23 24 27 30 34 36 34 30 24 15 7 4 2 2 2 2 2 2 3 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 1 1 1 2 2 3 4 4 5 5 6 6 7 9 10 12 14 15 16 15 16 17 18
20 21 23 24 23 22 21 20 18 17 18 22 26 29 32 32 31 25 15 7 4 3 2 2 2 2 3 3 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 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 4 5 6 7 7 7 8 9 10 11 12 14 15 15 14 12 9 7 10
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