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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 7 7 7 7 7 8 8 9 9 9 9 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 9 10 10 10 10 9 9 8 8 8 8 8 7 7 7 8 8 8 8 7 7 6 6 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 8 8 8 8 8 8 8 8 8 10 12 15 16 13 7 5 7 11 15 15 12 6 3 2 3 6 8 9 9 9 8 8 7 7 8 9 11 13 13 11 9 8 8 8 9 10 11 11 11 11 10 10 10 9 8 7 5 4 3 4 5 6 6 7 7 6 5 6 8 9 9 10 9 9 7 7 7 8 7 3 2 3 4 6 7 7 7 7 7 7 8 8 8 7 6 5 5 7 10 11 11 9 9 9 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 8 8 8 7 7 6 6 6 6 6 6 7 7 8 9 10 10 10 9 9 9 8 8 8 8 8 7 7 8 8 8 7 7 6 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 14 15 14 11 7 6 8 12 15 14 10 5 3 4 6 8 9 9 8 8 8 8 8 8 9 10 12 13 13 11 9 7 7 7 8 9 10 10 10 10 10 11 10 9 7 5 3 3 4 6 7 7 8 9 9 9 8 9 9 9 10 10 11 11 11 11 11 9 7 4 4 5 6 7 7 7 7 8 9 9 9 9 9 8 6 5 4 6 9 10 10 10 10 10 nan
nan 7 7 7 7 7 8 9 9 9 9 8 9 8 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 7 7 7 7 7 7 7 6 6 7 7 8 9 9 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 12 14 14 12 9 8 7 7 10 13 13 9 5 4 6 7 9 9 8 8 8 8 8 8 8 9 10 11 11 10 8 6 5 6 6 7 8 8 9 10 10 11 11 10 8 6 4 4 5 6 7 8 9 9 11 13 12 11 10 9 9 10 12 13 13 13 12 9 7 5 5 6 7 7 7 7 7 8 10 12 13 13 12 10 8 6 5 5 7 9 10 10 11 11 9 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 10 10 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 11 10 10 8 6 7 10 11 8 6 5 6 7 8 8 8 7 7 7 8 8 8 9 9 9 8 6 5 4 4 5 6 6 7 7 8 8 9 10 9 8 7 6 5 5 6 7 8 8 8 9 11 14 13 10 8 7 8 9 12 14 13 10 7 5 4 5 6 8 9 8 7 7 6 8 10 13 16 16 14 11 8 6 6 8 11 12 11 11 12 11 8 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 7 7 7 6 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 9 10 10 10 9 8 9 11 12 10 7 6 8 8 7 5 5 6 7 7 7 7 7 8 8 7 8 8 8 7 6 5 4 3 4 4 5 5 5 6 6 6 7 7 7 7 6 6 5 5 6 7 8 8 8 8 8 10 11 10 7 6 6 7 9 11 12 9 4 1 1 4 6 7 8 8 8 7 6 6 6 9 12 15 17 15 12 10 8 8 10 13 12 11 11 11 9 7 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 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 8 9 9 10 10 10 10 9 8 8 8 7 7 6 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 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 11 12 10 8 6 8 13 15 13 10 8 6 5 5 5 5 6 6 6 6 7 8 8 8 7 7 7 7 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 7 8 8 8 7 7 8 8 7 6 6 6 7 8 10 9 5 -1 -2 1 5 6 7 7 7 7 7 6 5 5 6 9 13 15 16 14 13 11 10 11 11 10 9 9 9 8 6 nan
nan 8 8 9 9 9 9 10 10 10 10 9 9 8 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 10 10 10 10 9 8 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 12 13 11 8 7 8 13 17 17 13 8 5 4 4 6 7 7 6 6 6 7 9 9 8 7 7 7 8 8 7 6 5 5 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 5 7 8 9 8 7 7 7 7 6 6 6 5 6 8 9 8 4 -0 0 4 6 6 6 7 7 7 8 7 6 5 4 7 10 14 18 18 17 14 11 9 7 7 7 8 8 7 5 nan
nan 8 9 9 9 10 10 11 11 11 10 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 9 9 10 9 9 8 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 10 12 13 12 10 8 9 13 17 17 12 7 5 5 6 7 8 9 8 8 8 9 10 10 9 8 8 8 9 11 11 10 8 6 5 5 6 6 6 6 6 6 5 4 4 4 4 4 4 5 6 8 9 9 8 7 7 6 6 6 6 5 4 5 7 9 8 6 4 5 8 8 8 7 6 7 8 10 10 8 6 5 5 9 14 19 20 18 13 10 7 6 5 7 8 7 6 5 nan
nan 9 9 9 10 10 10 11 11 11 10 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 10 10 10 11 11 12 12 11 9 8 10 13 13 10 7 6 6 7 8 9 10 10 10 10 11 11 11 9 8 8 9 12 14 15 14 10 7 6 7 7 7 8 8 7 7 6 5 5 5 5 5 5 6 8 9 9 8 8 8 7 7 7 7 7 5 4 5 7 8 8 7 8 9 11 12 10 7 6 7 9 12 13 11 8 6 6 9 12 15 15 12 10 8 7 7 7 8 8 7 4 5 nan
nan 9 9 9 10 10 10 11 11 10 10 10 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 11 9 8 8 8 8 7 7 6 6 6 7 9 10 11 11 12 13 12 10 7 7 8 10 14 17 18 16 12 8 7 8 9 9 9 9 9 8 7 6 6 6 7 7 7 7 8 9 9 8 7 8 8 9 11 11 10 8 6 5 6 7 7 7 9 11 13 14 12 8 6 7 9 12 13 11 9 8 7 8 9 9 7 6 7 8 9 10 11 11 10 7 4 5 nan
nan 9 9 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 13 13 13 13 13 12 12 11 11 11 10 8 8 8 7 6 5 6 5 4 4 6 8 9 11 13 15 14 11 7 5 6 8 10 13 17 18 16 12 8 7 8 9 10 10 10 9 9 8 7 6 7 7 8 8 8 8 7 7 7 7 7 8 11 14 16 15 12 8 6 5 5 5 7 9 11 14 15 14 11 8 7 8 9 11 12 12 11 9 7 6 6 4 4 5 8 10 11 13 13 12 8 5 6 nan
nan 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 12 12 13 13 13 13 13 12 11 10 10 8 7 9 10 9 7 7 6 5 3 2 4 6 9 12 15 17 14 9 5 4 4 6 8 11 14 15 13 9 6 5 6 8 9 9 9 8 8 8 7 7 7 7 8 9 9 6 5 6 6 7 7 9 11 14 16 15 12 8 5 3 4 5 8 9 11 14 16 16 14 11 8 6 7 10 12 13 13 10 6 6 6 5 4 5 7 9 10 11 12 11 9 6 6 nan
nan 9 9 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 10 9 9 10 11 12 12 12 11 10 9 7 6 7 10 13 12 10 8 6 3 1 1 3 6 11 15 17 17 12 7 4 3 3 3 5 7 9 10 8 6 3 3 5 6 7 8 8 8 8 8 9 8 8 9 9 9 8 5 3 4 5 7 8 9 10 10 10 9 9 7 5 4 5 7 8 10 11 14 17 18 17 12 8 5 6 8 10 12 13 10 8 8 7 6 4 4 5 6 7 7 8 8 8 8 7 nan
nan 9 9 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 6 6 7 6 6 5 5 5 6 6 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 7 5 3 5 10 14 14 10 5 2 1 1 3 6 10 14 18 18 14 9 6 4 3 2 2 3 5 6 7 6 4 4 4 5 7 8 9 9 9 9 9 10 11 11 10 9 8 7 5 3 3 4 6 7 8 8 7 5 5 8 9 8 7 7 8 9 10 12 16 19 19 15 10 6 5 6 7 8 9 10 10 11 11 10 7 4 2 2 3 5 5 6 7 8 9 8 nan
nan 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 4 4 5 6 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 10 10 10 10 9 9 10 11 13 13 10 8 7 7 8 10 8 3 -1 0 6 11 11 5 -1 -2 2 6 10 13 16 17 16 13 9 7 6 6 5 3 2 3 4 5 5 5 5 5 7 8 9 11 12 12 11 10 10 11 11 10 9 8 7 6 5 4 3 4 6 7 7 6 6 5 6 9 12 11 9 8 9 9 11 14 19 21 19 13 7 3 4 7 8 8 7 7 9 11 13 12 9 4 0 -2 -0 3 4 5 7 9 10 11 nan
nan 10 10 11 11 11 11 11 12 12 11 11 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 6 6 5 4 3 4 4 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 12 14 16 17 15 9 3 1 2 5 8 8 3 -4 -5 1 5 5 1 -2 1 7 13 17 19 18 14 9 6 6 6 7 8 7 6 4 3 4 4 4 4 5 7 9 10 12 14 14 14 12 11 10 10 9 8 6 6 7 7 7 6 5 6 7 8 8 7 7 6 7 9 12 11 9 8 8 9 12 16 18 18 15 9 3 -0 2 7 9 9 8 7 7 9 11 11 10 6 1 -3 -3 0 2 4 7 9 10 11 nan
nan 10 10 11 11 11 12 12 12 12 11 11 10 10 9 10 10 11 11 11 10 10 11 11 11 10 10 9 9 8 8 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 5 5 4 4 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 12 12 13 13 13 13 12 12 11 12 14 15 17 17 16 16 17 16 12 5 0 -2 -2 1 4 6 5 0 -2 -0 2 1 1 3 7 14 19 21 19 14 9 5 5 6 9 10 10 9 8 6 4 4 4 4 4 4 6 9 11 13 13 14 13 12 10 9 9 7 6 5 6 8 10 10 9 8 8 10 11 11 11 10 9 8 8 9 9 7 6 7 10 13 15 14 11 7 2 -1 -2 1 6 9 9 8 8 7 7 8 10 11 9 4 -1 -3 -3 -1 3 7 8 8 8 nan
nan 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 10 10 11 11 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 5 5 6 7 7 6 6 7 7 8 8 9 9 9 9 8 8 9 8 8 8 9 10 12 12 12 11 11 10 10 10 12 16 20 24 26 25 21 18 16 14 10 5 2 -0 -1 1 3 7 9 9 7 5 4 5 7 10 15 18 19 18 14 11 9 7 8 10 11 12 12 11 9 7 5 4 4 4 4 4 5 7 9 10 10 10 10 10 10 10 9 8 7 6 8 11 13 13 12 11 10 11 12 13 14 14 13 10 8 7 7 6 7 9 11 13 13 10 5 1 -1 -2 -1 2 6 8 8 8 7 7 7 8 10 11 10 5 0 -3 -3 -2 2 6 8 7 6 nan
nan 10 11 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 10 10 10 11 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 7 7 8 9 9 9 8 7 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 7 7 9 11 14 18 24 28 29 26 21 17 14 12 10 8 7 7 7 6 7 9 12 14 13 11 10 12 14 17 19 18 15 12 11 11 12 11 11 11 12 13 12 11 9 7 6 5 4 5 5 5 5 5 5 6 6 7 8 9 10 11 12 11 10 10 11 13 14 15 14 12 11 10 11 12 15 17 15 10 7 6 7 7 8 9 11 12 11 8 5 3 1 0 1 3 5 6 6 5 5 6 7 8 10 11 8 4 1 -0 -0 1 3 5 6 6 5 nan
nan 11 11 11 12 12 12 12 11 11 10 10 11 11 11 11 11 11 10 10 11 11 11 10 9 9 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 7 7 7 7 7 8 8 9 10 11 11 11 10 9 9 9 10 10 9 9 9 9 9 9 9 9 8 9 10 11 11 11 10 10 9 9 10 14 17 18 18 19 21 22 19 15 11 9 9 9 10 12 13 13 12 10 10 12 15 16 15 14 14 16 18 17 14 10 8 8 10 11 10 9 10 12 13 13 11 10 8 7 6 6 6 6 6 6 5 4 4 4 6 8 10 11 13 15 15 14 11 12 13 14 15 15 13 11 9 9 11 15 17 14 9 6 6 6 7 7 8 9 8 7 6 5 5 4 3 3 3 4 4 4 4 4 4 6 9 11 11 7 2 1 3 5 5 5 4 4 4 3 nan
nan 11 11 12 12 13 12 12 11 10 10 11 11 11 11 11 11 11 11 11 11 12 11 10 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 9 10 12 12 12 11 11 11 10 10 10 10 10 9 9 10 10 9 9 9 10 12 16 19 20 21 20 19 18 17 18 20 21 19 16 13 13 14 12 9 5 4 4 6 10 14 16 16 14 11 9 11 16 18 15 11 10 11 11 11 9 7 6 6 7 7 7 8 10 12 13 12 10 9 9 9 9 9 8 9 8 8 7 6 5 4 5 7 9 12 14 17 17 12 8 9 11 13 14 15 15 13 10 9 11 13 13 10 7 5 5 5 6 6 6 7 6 5 4 5 6 6 6 6 6 6 5 5 5 5 5 7 9 12 13 10 5 4 6 8 7 6 3 2 2 2 nan
nan 11 11 12 12 12 12 11 11 10 11 11 12 12 12 12 12 11 11 11 12 12 11 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 8 9 10 11 12 12 12 11 11 11 10 10 9 9 9 9 10 10 10 10 9 10 14 19 25 29 30 28 25 24 24 23 22 21 21 18 14 12 12 12 11 7 3 1 1 5 11 17 20 18 15 12 11 15 19 18 12 8 6 6 6 6 5 3 3 3 4 5 8 10 12 11 10 8 7 6 7 8 10 10 10 11 11 10 9 8 6 5 5 6 8 11 15 18 15 7 3 5 9 11 14 16 18 17 13 11 10 9 8 5 4 4 4 5 5 6 6 6 5 5 4 5 6 7 8 9 9 9 8 8 8 7 8 8 10 13 15 15 13 11 10 10 9 7 3 1 0 2 nan
nan 10 11 12 12 12 12 11 11 10 11 11 12 12 12 12 12 12 12 12 12 12 11 10 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 9 10 10 11 11 11 11 11 11 10 9 9 8 9 9 10 10 10 10 10 10 12 18 23 27 29 28 24 21 21 21 20 18 16 15 13 12 11 12 13 12 8 4 1 2 7 15 21 22 19 15 13 14 17 18 15 10 7 7 6 5 4 2 1 1 2 5 9 14 16 13 9 6 4 4 4 5 7 9 10 11 12 12 12 11 10 8 6 5 4 6 10 15 17 14 7 3 4 7 10 13 16 19 19 15 10 8 5 3 2 3 3 3 4 5 5 6 6 6 6 6 7 7 8 9 10 11 10 10 10 10 10 10 9 10 12 17 20 20 17 15 13 11 9 5 2 1 4 nan
nan 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 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 8 8 7 7 7 7 7 8 9 10 10 9 9 8 8 8 9 9 8 8 9 9 10 10 10 10 10 11 13 17 20 21 21 19 17 16 16 16 15 13 11 10 9 9 10 11 12 12 10 7 4 6 11 17 21 20 18 15 14 14 14 12 10 8 8 9 8 6 4 1 -0 1 4 9 13 17 18 13 7 4 2 3 3 4 6 8 9 10 11 13 14 13 11 9 7 5 5 7 10 14 16 14 9 5 5 6 8 11 14 16 15 11 6 4 2 2 2 2 3 4 4 5 6 6 7 7 8 8 9 9 9 10 10 11 10 10 10 11 11 10 10 10 12 17 20 21 20 18 16 13 10 7 5 5 7 nan
nan 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 11 11 10 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 6 5 5 5 6 7 7 7 7 7 6 6 6 7 8 9 9 9 10 10 10 10 10 11 12 13 13 13 13 13 13 12 12 11 11 10 10 10 9 10 10 11 11 12 13 12 10 9 11 15 17 18 17 15 14 13 13 11 10 8 9 9 9 9 7 5 2 2 3 6 9 11 13 13 9 5 3 3 3 5 7 8 9 9 9 11 14 16 15 11 8 6 6 8 9 11 12 12 12 10 8 6 6 7 9 11 11 9 5 2 1 1 2 2 3 4 5 6 6 7 8 9 9 10 10 11 11 11 11 11 11 11 10 11 11 11 11 10 10 11 13 15 17 18 18 16 13 10 8 6 7 8 nan
nan 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 10 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 6 5 3 3 2 3 3 4 4 5 5 5 5 5 6 8 9 10 10 10 11 11 11 11 11 12 11 10 9 9 10 11 10 8 6 5 5 7 9 11 13 14 14 12 11 12 12 12 13 14 16 16 15 13 12 12 12 12 11 10 9 8 8 8 8 7 6 5 5 7 7 6 5 5 6 5 4 3 4 6 9 12 14 14 12 10 12 16 17 15 10 7 7 9 11 11 9 8 8 8 8 7 6 5 6 8 9 7 3 1 1 2 2 3 4 5 7 8 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 10 12 14 16 16 12 9 6 5 6 8 nan
nan 13 13 13 12 11 12 12 12 11 10 10 10 9 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 8 6 4 2 1 1 0 1 1 2 4 5 5 6 6 7 8 9 10 11 11 11 11 12 11 11 11 11 10 9 9 9 9 7 4 -0 -1 2 6 8 10 13 14 13 10 8 8 10 10 12 13 14 13 12 10 10 10 10 10 9 9 8 7 7 7 7 6 7 8 9 11 11 7 3 1 2 3 3 4 6 9 13 17 21 20 15 13 16 19 19 16 11 8 10 14 14 11 7 5 8 10 10 8 6 4 5 6 5 3 0 -0 2 4 4 5 6 8 9 11 13 14 15 16 16 16 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 10 9 9 10 11 13 13 11 7 4 3 4 6 nan
nan 13 13 12 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 6 5 3 2 1 1 1 2 3 4 5 6 7 8 9 9 10 10 11 11 11 12 12 12 12 12 12 11 10 9 8 8 6 1 -2 -1 4 8 10 10 10 10 8 6 5 6 6 6 8 10 11 11 9 8 7 7 7 8 7 7 7 6 6 6 6 6 7 9 12 15 16 12 5 1 1 2 3 5 8 10 15 20 23 22 18 16 17 20 20 18 15 14 16 18 15 10 6 7 12 17 19 16 11 7 4 2 0 -0 0 2 4 6 7 8 9 10 12 14 16 18 19 19 19 18 17 17 15 14 14 14 15 16 16 16 15 15 14 14 13 12 12 13 12 10 8 7 8 8 7 4 3 3 5 nan
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nan 10 9 8 7 5 4 3 4 5 6 7 8 9 10 9 7 6 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 11 11 11 11 12 14 17 22 28 29 25 18 9 4 5 6 8 9 11 13 15 16 16 17 18 18 16 12 8 5 2 1 2 4 8 12 14 14 12 10 9 10 11 11 10 10 10 11 11 11 11 10 9 9 9 10 12 13 13 12 12 11 10 9 7 6 5 5 5 6 6 5 4 3 3 5 7 10 13 14 13 12 12 11 12 13 13 14 14 14 14 13 13 11 8 6 5 4 5 6 8 12 15 15 15 14 14 14 14 13 12 11 11 12 12 12 12 12 11 10 9 9 8 7 7 7 9 11 13 13 12 11 11 12 12 11 10 11 12 14 15 15 13 12 12 11 10 9 8 9 10 12 13 11 9 8 8 9 11 13 15 14 11 8 7 8 nan
nan 10 9 8 7 5 3 2 3 4 6 7 8 9 9 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 10 11 11 11 12 12 13 17 23 29 32 29 21 12 6 6 7 9 11 12 15 17 18 18 18 17 16 14 10 7 4 1 0 1 4 9 14 17 18 17 15 14 14 16 16 16 15 14 13 11 10 9 9 9 9 10 11 11 13 13 12 12 11 11 10 9 8 8 7 7 7 6 6 4 2 1 2 4 7 10 12 12 12 12 12 13 13 13 12 12 12 13 13 13 13 11 9 7 5 4 5 7 11 15 16 16 16 16 17 18 17 16 15 13 12 11 10 10 10 11 10 10 9 9 8 7 7 8 10 12 13 14 15 16 16 14 11 10 9 10 12 13 13 13 13 12 11 10 8 8 9 11 12 12 9 6 6 8 10 12 14 16 16 14 11 10 10 nan
nan 9 9 8 7 5 3 2 2 3 5 7 8 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 9 10 10 11 11 11 12 13 17 23 30 35 34 25 16 8 7 8 9 11 13 16 18 20 19 18 16 15 13 10 7 4 2 1 3 6 12 16 19 20 19 17 15 15 18 19 19 18 16 14 11 9 10 11 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 8 7 8 7 5 4 2 3 5 8 10 11 12 12 12 13 14 13 11 9 9 10 11 12 14 14 13 12 10 7 7 9 11 13 13 14 14 15 16 16 16 15 14 13 11 10 9 9 10 11 11 11 10 9 9 8 7 8 9 12 15 17 19 20 18 15 11 9 8 9 10 10 11 12 12 13 12 11 9 9 10 10 9 7 3 2 5 9 12 13 13 14 14 13 12 12 11 nan
nan 9 8 7 6 5 3 1 1 3 5 7 8 8 8 7 7 8 8 8 7 6 6 7 8 9 9 9 9 9 10 10 10 10 10 10 9 10 10 11 11 11 12 13 16 23 30 34 34 27 16 9 7 7 8 10 12 15 18 19 19 18 16 14 12 11 8 5 3 2 3 7 13 16 18 18 16 15 14 15 18 19 19 18 16 13 11 10 12 15 15 15 13 10 8 7 7 7 8 9 11 11 12 12 12 10 9 7 7 9 11 10 8 6 5 6 7 9 10 11 11 11 12 13 13 11 9 8 7 9 11 13 15 15 14 13 11 10 10 10 10 11 12 13 14 13 12 12 13 13 13 13 12 12 12 12 12 12 12 11 10 10 9 9 9 10 12 15 18 20 19 16 13 10 8 7 6 6 7 9 11 12 13 12 12 11 11 10 7 4 1 -0 3 8 12 14 12 10 10 10 12 12 12 11 nan
nan 9 8 7 6 5 3 1 1 3 5 7 7 7 6 6 7 9 9 9 8 6 6 6 7 8 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 11 12 13 16 21 29 33 33 26 14 7 5 5 7 8 11 14 17 18 19 18 17 15 13 11 9 6 3 2 2 6 11 13 14 14 14 13 13 16 19 19 18 15 13 11 10 10 11 13 15 15 13 10 7 6 6 7 9 10 10 10 10 10 9 8 6 4 5 8 11 12 12 11 9 7 7 8 9 10 10 11 12 14 14 12 10 8 7 8 10 13 14 15 14 12 11 10 9 9 10 11 12 13 13 11 9 10 12 13 14 14 14 14 14 15 15 14 13 12 12 12 13 13 12 11 11 12 15 17 15 13 10 7 5 4 5 5 6 8 10 11 12 12 11 11 10 7 3 -1 -3 1 8 13 16 15 11 8 8 9 11 12 12 11 nan
nan 8 7 7 6 5 3 1 1 3 5 6 6 6 5 5 6 8 9 9 8 7 5 6 6 8 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 11 13 16 20 27 32 31 25 13 5 4 5 7 9 11 14 16 18 19 19 19 17 14 11 8 6 3 1 2 4 8 11 12 12 12 12 14 16 19 19 18 15 12 11 11 11 10 10 11 12 12 11 9 8 9 10 11 12 11 10 8 7 6 4 2 2 4 7 10 12 13 12 11 9 8 9 10 11 11 12 13 14 14 13 11 9 8 8 11 13 14 14 13 11 9 8 8 9 10 11 12 11 10 9 8 9 11 12 12 12 12 13 14 15 15 14 13 12 13 14 15 15 14 12 10 9 9 10 10 9 7 5 4 5 8 10 11 10 10 11 10 10 9 8 6 3 -1 -3 -1 5 11 15 15 14 11 9 10 11 12 13 13 12 nan
nan 8 7 7 6 5 3 2 1 3 5 6 6 6 4 4 5 7 8 9 8 7 6 5 6 7 8 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 11 13 15 19 24 30 30 24 14 6 5 7 9 11 13 16 18 19 20 21 21 19 15 11 8 5 3 1 1 3 7 10 12 12 12 11 12 14 15 16 16 15 13 13 14 14 13 11 10 10 11 12 12 13 15 16 17 16 13 10 8 5 4 2 2 4 7 9 10 11 11 11 10 9 8 8 10 11 13 13 14 14 14 13 12 10 9 9 11 13 13 13 12 10 9 7 7 9 10 11 11 9 8 7 7 8 8 8 8 8 8 9 11 12 12 11 10 10 12 14 15 15 14 13 11 9 6 6 7 7 7 6 5 9 15 18 18 15 12 10 8 7 6 4 3 0 -2 -1 4 10 13 14 13 12 12 12 12 13 13 13 13 12 nan
nan 8 7 7 6 5 3 2 2 3 5 6 6 5 5 5 5 6 8 8 8 8 6 5 5 6 7 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 11 13 15 18 24 29 31 26 16 10 7 8 10 12 14 17 19 20 21 22 23 21 16 11 8 6 4 2 1 2 6 10 12 13 13 11 11 11 11 11 12 12 12 13 15 16 15 14 12 10 10 12 14 17 20 21 21 20 15 10 6 3 2 3 5 9 12 13 13 12 10 8 8 7 7 7 9 10 12 13 13 13 13 12 12 11 10 10 11 12 12 12 11 10 8 7 6 8 11 12 12 9 7 6 6 6 6 6 6 6 7 9 10 9 8 6 5 8 11 13 13 13 13 13 14 12 9 8 8 10 11 10 9 12 17 21 22 18 13 9 6 4 3 3 2 2 2 5 10 14 14 13 11 10 11 12 12 12 11 11 12 13 nan
nan 7 7 7 7 6 4 3 3 4 5 5 5 5 5 5 6 7 8 8 9 8 7 6 5 6 7 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 11 12 13 17 24 29 33 29 19 11 8 7 9 10 12 14 17 19 21 22 23 22 18 14 11 9 7 5 3 2 5 9 12 13 13 11 10 9 8 8 8 9 10 11 13 14 14 13 11 9 8 9 13 17 20 22 21 18 13 6 1 -0 1 7 13 15 16 16 15 13 10 7 6 6 7 7 8 9 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 8 6 6 8 11 13 13 11 9 8 7 6 6 6 7 8 10 11 10 8 6 4 5 8 11 12 12 12 12 13 14 13 12 12 13 15 16 15 13 14 18 21 22 18 13 8 4 2 2 4 6 7 9 11 13 14 14 12 10 9 9 10 10 9 9 9 11 12 nan
nan 7 7 8 8 7 5 4 3 4 6 5 5 4 5 6 7 8 8 8 8 8 8 6 6 6 6 7 8 9 10 10 10 10 9 9 9 10 10 9 10 10 11 12 13 16 23 30 33 32 22 11 8 6 7 8 9 11 12 15 18 21 22 22 21 18 16 14 12 9 7 5 6 8 10 11 11 10 8 8 7 7 7 8 9 10 10 10 9 9 8 6 6 7 11 15 18 19 17 13 9 4 -0 -0 3 11 18 19 17 15 14 12 11 9 8 8 9 9 9 11 11 11 10 9 9 10 10 10 10 11 11 10 10 10 10 9 8 7 8 9 10 11 12 12 12 11 10 8 7 6 7 10 11 12 11 9 8 7 8 10 11 11 12 13 13 13 12 12 12 13 15 17 17 16 16 17 20 21 20 16 10 5 3 4 6 9 12 14 14 14 14 13 12 10 9 10 10 10 9 8 8 8 9 11 nan
nan 7 7 8 8 7 5 3 3 5 7 6 5 4 4 6 9 10 9 8 8 8 8 7 6 6 6 7 8 9 9 10 10 10 9 9 9 9 9 9 10 10 11 11 12 16 22 30 34 32 23 13 8 6 6 7 9 9 9 11 13 16 18 19 19 19 17 15 13 11 10 8 8 8 9 9 9 8 7 6 6 7 7 8 8 8 8 7 6 6 5 6 8 10 13 16 18 18 15 10 6 4 2 3 6 11 16 16 14 13 11 11 11 12 13 12 12 11 12 13 13 12 11 9 9 9 10 10 11 12 12 12 11 11 11 10 10 9 9 9 8 7 8 10 12 14 14 12 10 8 8 9 11 12 13 12 10 9 9 8 8 9 10 13 14 13 11 12 13 14 15 16 17 17 18 18 19 19 17 13 8 6 6 8 12 16 17 17 16 14 13 12 11 11 11 12 13 12 11 9 8 8 8 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
28 33 31 28 29 32 33 30 26 24 30 35 37 39 39 39 43 42 35 26 19 16 18 18 18 14 11 10 10 11 12 10 8 8 9 10 9 9 10 13 17 20 22 21 23 22 22 22 21 21 20 19 25 38 42 33 20 12 13 9 7 6 6 11 20 25 22 20 24 23 17 12 8 7 7 7 7 7 6 5 5 5 5 4 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 1 0 0 2 21 94 200 141 44 7 0 0 0 0 0 0 6 62 131 268 303 206 116 66 61 74 115 174 213 219 194 162 154 163 202 306 425 488 476 446 436 474 561 658 680 591 428 297 333 392 329 258 239 274 343 484 605 657 738 881 950 876 713 600 675 976 1043 867 624 487 477 476 467 444 450 494 539 546 522 495 475 453 431 418 414 414 416 419 428 464 652 623
32 35 34 32 32 32 32 29 26 28 38 43 40 39 40 43 47 52 50 35 21 14 15 21 23 15 10 9 9 10 10 7 5 6 8 10 10 10 11 11 13 16 19 21 21 20 19 19 19 19 18 18 20 28 36 31 23 24 25 9 6 6 7 10 13 13 13 16 15 12 9 8 8 8 7 7 5 5 5 4 4 4 4 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 2 0 0 0 13 44 141 207 124 27 1 0 0 0 0 0 0 0 0 6 17 17 9 13 37 77 122 160 175 167 142 115 101 103 117 166 287 420 478 465 444 445 507 587 628 586 475 346 266 261 320 268 204 193 200 263 421 597 685 754 854 887 822 717 666 721 866 827 618 494 454 467 476 456 416 374 386 414 436 452 467 480 480 466 452 457 473 470 455 449 463 537 524
36 36 36 36 35 29 28 29 31 35 39 40 34 36 37 38 42 48 51 38 23 15 15 18 18 11 9 9 10 11 10 8 5 6 7 9 9 10 11 12 13 16 20 23 21 18 18 19 19 18 17 17 20 28 38 35 34 34 27 13 8 10 11 10 9 12 19 24 20 12 19 11 7 6 6 5 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 0 1 4 26 67 149 165 94 21 0 0 0 0 0 0 0 0 0 0 0 0 4 21 61 121 185 218 194 147 105 80 72 75 87 117 234 357 422 438 441 454 483 490 461 431 388 317 240 186 189 179 162 176 220 346 513 635 679 720 770 776 756 750 772 787 744 607 457 468 460 443 426 398 361 322 298 301 329 373 423 469 499 502 487 480 489 483 472 462 455 464 490
35 35 34 33 29 24 25 30 32 34 34 31 28 33 34 34 39 45 43 33 22 15 14 15 14 9 10 9 8 8 8 8 7 8 8 8 8 10 12 14 15 16 17 17 18 17 17 17 16 15 16 15 15 17 22 28 35 21 14 17 18 16 16 16 10 7 11 19 22 17 12 8 6 5 4 4 5 5 5 6 5 5 6 6 6 5 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 0 3 14 31 73 109 84 36 5 0 0 0 0 0 0 0 0 0 0 0 2 12 42 98 164 213 213 166 117 85 68 62 65 73 86 144 267 362 413 424 412 384 327 275 303 317 283 212 147 116 98 128 184 325 513 615 609 577 615 686 705 733 780 784 694 551 448 392 453 465 422 376 337 301 269 245 239 261 314 382 449 501 522 513 488 476 464 465 465 469 485 498
35 33 30 28 25 25 27 30 30 29 28 25 23 26 33 35 39 44 43 32 21 16 16 16 11 9 11 10 9 8 8 10 10 9 8 9 8 11 14 16 16 16 16 15 16 16 16 15 14 16 15 14 12 10 10 15 20 10 7 16 19 20 25 30 18 6 5 8 9 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 0 0 3 14 35 62 63 34 9 0 0 0 0 0 0 0 0 0 0 0 1 10 32 78 134 173 176 146 110 88 76 69 67 69 70 67 77 155 303 392 403 373 329 280 244 259 267 229 157 94 49 48 150 281 501 591 548 459 433 517 649 719 751 759 682 546 434 396 402 433 421 367 321 283 250 222 205 199 221 283 361 437 495 524 517 493 487 477 521 535 529 519 488
33 32 30 29 29 28 27 27 26 24 20 19 19 24 32 37 37 40 38 30 21 17 17 18 10 8 9 9 9 9 8 9 9 8 9 9 10 13 14 16 16 16 15 15 15 14 14 14 13 13 13 12 10 8 7 8 11 11 11 14 18 20 28 35 27 11 6 4 5 5 5 5 6 6 6 6 6 6 6 5 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 2 0 0 0 8 26 46 54 37 12 2 0 0 0 0 0 0 0 0 0 0 2 9 30 65 121 160 159 130 98 84 81 80 79 78 76 70 59 49 76 208 326 356 333 292 243 190 161 161 139 96 48 19 29 110 278 509 450 332 275 323 475 659 770 792 705 526 409 371 383 399 386 335 283 257 234 208 183 166 159 179 259 361 439 496 526 533 541 545 520 511 526 536 507 422
30 30 31 31 31 26 23 21 19 17 15 15 19 24 32 36 35 35 33 26 19 15 16 15 10 8 9 10 9 8 6 6 9 9 8 9 11 13 13 13 13 13 12 13 13 13 12 13 12 12 12 11 9 7 6 6 7 9 11 15 14 13 14 18 21 16 7 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 1 0 0 1 35 72 79 54 20 3 0 0 0 0 0 0 0 0 0 0 3 11 28 59 106 161 182 159 123 99 92 93 93 92 91 86 76 63 48 50 106 195 250 256 227 181 137 107 90 73 45 20 9 27 81 178 304 221 138 146 251 453 661 768 753 565 335 280 298 328 338 311 256 208 196 189 172 150 133 127 145 220 346 428 492 540 575 599 585 536 493 485 479 423 303
26 28 30 31 27 20 18 18 17 17 17 20 26 35 36 33 37 36 30 23 16 15 15 13 9 7 8 9 9 8 6 7 8 9 9 8 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 8 6 5 4 5 7 8 8 8 6 6 5 8 10 7 3 3 4 4 5 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 7 84 142 111 52 12 0 0 0 0 0 0 0 0 0 0 1 14 36 67 108 158 204 220 193 153 128 119 116 112 108 105 99 89 74 58 47 54 87 134 157 144 119 98 84 70 52 20 18 8 19 54 75 54 43 43 75 179 363 519 573 510 278 89 129 211 255 257 232 190 153 150 153 143 131 123 122 141 194 295 396 487 550 587 592 557 498 448 440 424 336 196
24 27 29 28 23 19 19 21 22 20 18 22 31 37 33 29 39 39 30 22 17 17 18 15 10 8 8 7 6 6 7 7 8 9 8 8 8 8 9 9 9 10 9 9 9 8 9 10 9 9 9 8 6 5 5 6 7 8 8 6 6 5 5 4 3 3 4 3 4 3 4 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 3 36 136 164 85 29 6 0 0 0 0 0 0 0 0 0 2 9 34 84 136 183 232 274 293 271 220 180 159 146 136 127 121 117 109 94 75 58 52 63 89 112 109 96 83 71 58 41 21 20 7 8 21 30 26 18 22 50 122 207 256 242 165 54 6 36 118 169 179 166 146 132 128 132 139 147 146 151 167 196 264 428 521 562 575 563 520 461 417 419 403 290 148
29 29 30 26 24 23 25 27 28 25 18 21 29 35 36 35 38 34 26 20 18 18 17 13 9 12 10 7 5 6 7 8 8 8 7 8 8 8 8 8 8 9 9 9 8 7 8 8 8 9 7 6 4 4 5 6 7 7 8 5 5 5 4 3 3 3 3 3 4 4 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 0 0 2 16 71 131 87 22 5 1 0 0 0 0 0 0 0 0 0 5 29 82 163 224 267 319 376 406 384 316 250 217 195 173 155 146 143 139 125 106 90 80 82 94 106 106 97 85 69 45 26 19 17 6 1 0 0 0 2 12 43 103 108 76 41 13 1 0 6 50 87 102 107 112 120 123 122 125 158 177 190 197 224 344 580 598 574 564 552 518 468 436 452 418 269 138
27 29 30 30 29 27 29 31 31 26 21 25 35 39 40 39 35 30 20 17 18 17 14 10 10 14 10 7 7 8 9 9 8 8 8 8 8 8 8 7 7 8 9 9 8 7 8 8 6 5 5 5 4 5 6 6 6 5 5 4 4 4 3 3 2 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 0 0 4 36 91 94 37 7 0 0 0 1 3 4 1 0 0 0 1 20 68 147 231 287 335 412 499 541 508 417 328 290 264 234 210 199 195 189 176 156 138 124 116 116 118 116 107 93 72 42 23 15 9 4 1 0 0 0 4 22 59 106 81 26 4 2 2 1 2 19 44 62 79 96 111 117 116 115 161 189 207 220 291 480 704 633 527 501 497 490 495 538 612 546 231 122
32 30 28 29 30 30 33 33 29 26 27 35 45 44 41 35 29 23 16 17 18 16 12 10 9 10 9 6 7 9 9 9 9 10 9 9 8 8 8 7 7 8 9 8 7 6 7 9 4 5 5 4 5 4 4 5 5 4 4 3 3 3 3 2 3 3 3 3 3 3 3 4 5 5 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 1 1 3 14 68 108 68 18 2 0 0 0 14 56 68 28 0 0 1 9 55 113 177 239 300 374 487 611 671 627 520 427 381 350 320 300 290 279 263 241 215 185 160 144 137 135 129 116 94 67 44 27 14 5 2 2 4 7 9 18 39 71 92 63 26 12 15 19 19 16 19 33 54 75 94 106 110 110 115 149 163 198 232 343 523 640 531 399 367 358 385 482 675 870 783 196 112
33 29 29 34 37 36 35 32 26 31 36 44 53 50 36 27 21 17 16 19 18 13 10 9 8 8 8 9 10 9 8 8 8 9 9 9 9 9 8 7 7 8 8 7 5 6 7 7 7 6 6 5 4 4 4 4 5 4 4 4 4 4 3 2 3 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 1 3 18 57 134 145 59 13 2 0 0 3 42 204 306 156 0 0 6 32 92 129 166 208 268 357 475 626 751 764 673 563 488 433 411 404 385 360 328 289 248 209 177 159 153 148 138 119 94 54 43 33 24 13 6 9 22 40 53 60 59 63 68 53 40 38 45 49 47 42 38 42 56 72 88 102 113 123 139 158 151 193 239 363 511 552 424 275 243 222 247 349 535 802 974 358 164
32 27 28 32 36 37 34 31 29 31 38 45 45 40 31 21 13 14 20 20 16 11 9 9 8 8 8 8 9 9 9 8 8 8 8 8 9 10 9 7 8 8 7 7 6 7 8 8 7 7 7 5 5 4 4 4 4 4 4 5 5 5 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 0 8 43 120 205 183 55 12 1 0 0 5 40 200 351 143 1 8 30 69 102 104 130 161 202 263 357 499 703 841 794 655 521 447 436 458 429 394 355 308 260 222 194 176 167 157 147 131 107 70 51 41 35 27 26 37 59 80 90 83 59 53 58 58 60 69 78 79 74 66 58 55 60 70 88 113 143 172 190 187 171 193 248 387 547 587 451 255 192 167 169 208 320 545 753 570 228
29 26 27 29 32 35 31 26 27 33 41 45 41 32 24 17 14 18 27 21 15 11 11 11 12 12 10 10 10 11 12 9 7 7 7 7 8 9 8 8 8 8 8 7 7 7 8 8 8 8 7 6 6 6 6 6 6 6 5 6 7 6 4 3 3 3 3 3 4 5 5 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 1 1 1 1 12 65 160 227 184 59 12 1 0 0 0 0 3 5 2 8 36 67 83 79 73 88 100 115 146 204 313 490 660 627 490 379 346 373 418 410 389 358 318 281 253 231 207 183 171 173 158 125 91 64 53 46 45 53 66 73 65 46 35 36 47 59 68 78 92 95 89 82 79 75 69 64 70 88 122 157 173 175 167 159 166 208 365 576 673 570 356 227 150 124 103 107 185 324 347 194
29 26 28 30 30 29 25 23 28 37 44 43 36 24 19 18 19 23 26 19 13 12 13 13 13 13 12 11 10 11 12 10 8 7 7 8 9 8 7 8 8 7 7 7 7 8 8 8 9 10 9 7 8 8 9 9 9 8 8 7 7 5 4 4 4 3 2 2 4 5 7 6 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 5 12 17 20 30 82 152 194 157 67 18 3 0 0 0 0 0 0 2 16 61 74 63 49 52 66 68 62 65 88 146 243 344 323 235 207 248 315 372 402 412 390 352 320 299 277 246 214 209 209 190 153 119 94 77 68 70 74 71 60 41 22 21 35 56 72 81 86 91 87 83 82 87 92 92 82 72 69 96 119 113 104 111 124 139 167 307 556 758 745 524 272 124 123 111 109 93 91 118 139
30 29 30 31 28 23 20 21 32 44 43 37 29 19 16 21 21 22 21 18 14 14 15 14 14 14 14 12 9 8 9 8 7 6 7 8 9 9 8 8 8 7 6 7 8 9 8 8 9 10 10 9 9 10 10 11 11 10 9 8 7 6 5 4 4 4 4 3 4 5 6 6 5 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 1 1 1 0 1 1 1 1 1 2 2 2 2 1 0 0 21 50 71 82 100 136 167 166 117 53 17 3 0 0 0 0 0 1 6 22 47 41 25 24 39 51 44 26 18 23 44 86 123 93 69 110 201 307 401 464 486 461 407 364 334 307 283 271 278 281 238 195 159 139 130 127 121 105 81 58 44 41 45 63 90 99 93 91 97 105 113 118 123 130 132 114 80 51 55 63 76 86 104 130 156 193 280 491 757 858 670 338 163 197 167 136 125 110 103 129
32 31 31 34 26 20 20 26 35 44 37 29 22 19 20 23 22 21 19 15 13 15 16 15 13 15 17 16 9 8 8 7 6 6 7 8 8 8 9 9 8 7 7 8 9 10 9 9 10 11 11 10 10 10 10 10 10 10 8 7 6 6 4 3 3 4 5 5 5 5 6 6 5 4 4 4 4 3 3 3 3 3 3 2 2 2 1 1 1 0 0 0 0 1 1 1 1 1 2 1 1 0 0 0 0 29 76 111 129 149 167 178 136 73 28 6 0 0 0 0 0 0 1 6 14 6 7 3 16 33 37 21 4 2 2 6 16 20 6 11 46 128 289 422 492 507 485 446 401 349 313 287 273 276 297 273 256 231 216 210 208 199 170 135 107 86 71 75 103 129 129 121 128 153 188 220 236 241 248 210 154 103 67 50 52 78 114 171 218 235 243 282 429 702 934 882 604 367 324 237 161 119 100 95 114
29 30 30 28 24 24 28 33 38 38 28 18 19 21 23 23 21 20 19 14 13 13 14 14 13 12 12 11 8 7 7 6 6 7 7 7 8 7 9 9 8 7 7 8 9 9 10 10 11 12 11 9 10 10 10 11 10 9 8 7 6 5 5 5 4 5 6 6 5 5 5 6 5 4 4 4 4 3 3 3 2 2 3 2 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 0 0 0 0 0 2 15 50 76 79 77 85 96 70 27 8 1 0 0 0 0 0 0 0 0 0 0 0 0 13 23 21 9 0 0 0 0 0 0 0 1 11 61 204 320 378 391 392 402 415 395 380 357 302 256 278 369 424 384 331 303 288 266 239 222 208 199 157 128 145 164 170 176 197 239 298 352 375 348 289 200 153 127 106 96 106 142 226 341 396 384 366 429 545 789 1067 1106 967 774 605 414 253 170 125 100 99
28 29 27 23 26 35 43 42 37 29 20 17 24 25 23 21 18 16 17 17 15 12 10 10 11 12 11 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 12 11 10 10 10 10 10 10 10 9 8 8 6 6 5 6 6 5 6 6 6 5 5 6 5 4 4 4 4 3 3 3 3 2 2 2 1 1 0 0 0 0 0 0 1 1 2 2 0 1 1 0 0 0 0 0 2 8 21 29 17 5 6 15 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7 6 2 0 0 0 0 0 0 0 0 3 22 93 156 193 215 242 288 358 433 503 500 429 371 384 434 472 442 409 363 318 273 239 229 249 297 257 206 193 198 205 217 242 285 344 390 383 301 225 151 129 135 140 147 181 255 402 528 520 427 391 472 576 736 1014 1093 1099 1060 905 616 347 226 171 130 107
40 40 33 25 29 37 43 39 26 17 16 22 27 24 21 17 16 15 16 17 15 10 9 9 10 10 10 8 6 7 7 7 7 7 6 8 9 9 8 8 8 9 10 9 9 9 10 11 11 10 10 10 10 10 10 10 10 9 7 6 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 2 2 2 2 1 1 1 1 0 0 1 1 1 1 1 7 21 30 30 24 15 8 7 6 8 12 17 20 15 2 0 0 4 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 0 0 0 4 23 43 56 78 118 185 286 431 594 645 530 398 336 328 313 286 291 285 253 210 170 150 179 273 286 254 220 202 201 211 228 263 304 325 309 254 182 153 156 163 162 167 199 274 393 481 437 298 257 361 495 620 798 829 882 968 922 668 377 235 192 160 124
43 51 47 36 38 37 32 27 21 17 24 29 27 22 17 14 15 17 16 14 12 10 9 10 9 9 7 5 5 6 6 6 6 6 6 7 9 8 8 9 9 9 9 9 8 8 9 10 9 10 10 9 9 9 10 9 8 7 5 4 3 3 4 5 5 5 4 4 5 5 4 4 4 4 4 3 3 2 2 2 2 2 1 1 1 0 0 1 1 1 1 1 0 1 10 36 71 78 63 43 31 29 29 45 63 64 46 19 0 1 8 19 13 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 2 5 7 18 51 122 250 429 600 725 464 243 132 90 65 56 84 138 168 163 137 123 156 242 251 218 183 164 167 176 192 226 261 277 264 230 199 210 198 189 179 177 179 182 198 242 249 178 158 267 440 576 621 510 589 759 784 586 313 179 155 146 121
50 47 43 38 33 29 25 24 24 28 35 33 26 18 14 14 16 17 13 10 10 11 12 11 10 8 8 9 8 6 5 6 7 6 6 7 8 8 8 9 9 8 9 8 7 8 9 9 8 9 9 9 10 10 9 8 6 4 3 3 3 3 3 3 3 2 2 3 4 4 4 4 4 3 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 5 22 57 73 59 47 47 56 67 99 132 124 76 26 0 3 17 20 10 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 2 9 32 107 270 469 554 234 77 15 0 0 3 16 57 114 141 129 119 132 145 120 87 84 153 214 213 185 212 245 277 296 292 283 278 227 189 178 187 189 170 138 122 132 146 144 218 370 529 623 550 630 734 718 563 354 204 139 106 97
48 41 34 30 26 21 19 25 34 36 32 24 20 13 14 17 17 15 11 9 12 14 15 12 9 6 6 7 7 7 6 6 6 6 7 8 9 9 8 8 8 9 9 8 7 8 9 9 9 10 9 9 10 9 7 6 5 3 2 3 3 2 2 2 1 2 2 2 3 4 4 4 4 3 3 2 2 2 2 1 1 0 0 0 0 1 6 13 16 15 10 9 8 5 5 11 26 42 32 33 40 48 56 74 103 102 62 20 0 0 1 3 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 2 22 138 342 415 108 13 1 0 0 1 7 29 76 105 82 58 45 28 16 5 51 145 190 171 140 164 185 197 212 206 195 185 164 141 127 133 141 134 117 112 118 119 120 133 193 339 550 707 816 847 761 579 380 234 159 122 107
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