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 nan nan nan nan nan nan nan nan
nan 13 11 10 11 12 11 10 9 8 8 8 9 10 10 11 10 8 3 0 1 5 8 9 10 10 10 8 5 3 2 2 2 3 5 8 8 5 2 2 2 2 1 3 6 9 9 7 6 6 7 8 9 11 12 12 11 9 8 8 8 8 8 7 6 4 4 6 10 12 12 14 19 22 21 19 15 11 8 7 7 6 5 4 3 3 2 3 3 4 5 5 5 4 4 4 5 5 5 5 6 6 6 4 2 1 2 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 6 7 8 8 8 7 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 3 3 4 5 5 5 5 5 5 5 5 5 5 6 7 8 8 10 11 12 13 14 15 17 20 23 24 25 24 24 23 23 22 23 23 24 24 23 nan
nan 12 10 9 10 11 11 11 11 10 11 10 10 9 9 10 10 9 6 3 2 4 5 6 6 7 7 7 6 4 4 4 4 4 4 5 5 3 2 3 5 5 4 5 9 13 13 9 6 6 6 7 8 9 10 10 10 9 8 7 7 6 6 5 3 2 2 3 6 7 7 10 14 18 20 18 14 10 8 7 7 6 5 3 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 6 6 7 6 3 1 0 2 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 6 7 8 8 8 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 4 3 3 4 5 5 5 5 5 5 5 5 5 6 6 7 8 9 10 12 12 13 12 12 13 14 15 16 17 17 17 17 17 18 20 22 24 25 nan
nan 11 10 9 8 8 9 10 11 12 12 12 10 8 7 8 9 8 5 2 2 2 2 2 2 4 5 6 5 5 6 6 5 4 4 4 3 2 3 5 7 8 7 9 12 15 14 10 7 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 3 2 1 2 3 4 4 6 8 11 13 13 11 9 7 7 6 5 3 2 1 1 2 3 3 4 4 4 4 4 4 5 6 6 6 6 7 7 5 2 -0 -0 2 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 7 8 8 7 6 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 3 3 4 5 5 4 4 4 4 5 5 5 6 7 8 9 10 11 12 12 12 11 10 10 10 11 12 12 13 13 13 13 14 16 18 20 nan
nan 12 11 10 7 5 5 5 7 10 11 11 9 6 5 7 8 7 4 2 1 1 1 0 1 3 5 6 5 5 6 6 5 4 3 4 4 4 4 6 8 9 10 11 13 14 13 9 6 4 3 3 2 2 2 2 3 3 3 3 3 4 4 5 5 4 3 3 3 3 4 4 5 6 7 7 7 7 7 6 6 4 2 1 -1 -0 1 3 4 4 4 4 4 4 5 6 7 7 7 7 7 7 5 1 -1 0 2 4 5 5 5 5 5 6 5 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 6 7 8 9 10 11 11 11 10 9 9 9 10 10 11 11 11 11 10 11 11 12 13 nan
nan 12 13 12 9 6 3 2 3 6 8 9 7 5 5 7 9 9 6 3 2 2 1 1 2 6 9 9 6 5 5 5 4 4 4 4 5 5 5 5 7 9 10 11 11 11 9 7 4 3 2 1 1 1 1 1 2 3 4 4 4 4 5 6 6 6 6 6 5 4 4 4 4 4 4 5 5 6 6 6 6 5 3 0 -1 -1 1 3 3 4 4 4 4 5 5 7 7 7 7 7 7 6 3 0 -0 1 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 7 8 8 8 7 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 5 5 6 6 7 8 9 10 10 10 9 8 8 8 9 9 10 11 11 11 10 10 10 10 10 nan
nan 12 13 14 13 10 6 3 2 3 5 6 6 4 4 5 9 11 9 7 4 3 2 3 5 10 12 11 7 4 4 4 4 4 4 5 6 5 4 4 6 8 9 10 9 8 6 4 3 1 1 1 1 1 1 2 3 4 5 5 5 6 6 6 7 7 7 7 6 6 5 5 4 4 4 4 5 5 6 6 7 6 4 1 -1 -0 1 3 4 4 4 4 5 5 6 7 7 7 6 6 6 4 2 -0 -0 2 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 6 6 7 7 8 9 9 9 9 8 8 8 8 8 9 10 11 11 10 10 10 11 11 nan
nan 12 12 14 15 14 11 7 4 3 4 6 7 6 4 5 8 11 11 9 7 5 4 5 8 12 13 11 7 4 4 4 4 4 5 6 6 5 4 4 5 6 8 8 7 6 4 2 1 1 1 1 1 2 2 3 4 6 6 5 5 6 7 7 6 6 7 7 7 7 6 5 4 4 4 4 5 5 6 6 7 6 4 1 -0 0 2 3 4 4 4 5 5 6 7 7 7 7 6 6 5 3 1 -1 0 3 4 5 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 5 6 6 6 7 7 8 8 9 8 8 8 8 8 8 9 9 10 10 11 10 10 11 12 nan
nan 13 13 14 16 17 16 12 8 6 6 7 8 8 7 7 9 10 10 9 8 7 6 8 12 13 13 12 9 6 5 4 5 5 6 7 6 5 4 4 4 5 6 6 5 4 2 1 1 1 1 2 2 3 4 5 6 6 5 3 4 6 8 7 5 6 7 8 9 8 6 5 4 4 4 4 5 5 6 6 6 5 3 1 1 1 2 3 4 4 4 5 5 6 6 7 7 7 6 6 5 3 0 -1 1 3 5 5 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 11 11 nan
nan 12 12 14 17 19 19 17 14 10 8 8 9 9 9 9 9 10 10 9 9 8 9 12 15 15 15 15 13 10 6 5 5 7 8 7 6 5 4 4 4 4 5 4 3 2 1 0 0 1 2 2 3 3 4 6 6 6 4 2 3 6 7 5 4 5 7 9 9 7 5 4 4 4 4 4 4 5 5 5 4 3 2 1 1 2 3 3 4 4 4 5 5 5 6 6 6 7 7 6 5 2 -1 -1 2 4 5 5 6 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 8 9 9 10 10 10 11 nan
nan 6 9 12 15 18 20 21 19 15 11 8 7 7 7 7 8 8 8 9 9 10 12 15 18 19 19 18 16 12 8 6 6 7 8 8 7 5 4 4 4 4 4 3 2 1 -0 -0 0 1 2 2 2 3 4 5 6 6 5 4 4 5 5 3 2 3 6 9 9 7 6 6 5 5 4 4 4 5 6 5 3 2 1 1 1 2 3 4 4 4 4 4 5 5 5 5 6 7 7 7 5 1 -1 -1 2 4 5 5 6 7 7 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 nan
nan -1 2 6 10 13 17 19 20 16 11 6 4 4 3 3 4 6 7 9 10 10 10 13 16 20 21 20 16 12 8 6 7 8 8 8 7 6 5 5 5 4 3 2 1 0 -0 0 1 2 3 3 1 2 4 6 6 6 7 7 6 5 4 2 0 1 4 7 8 8 8 8 8 6 5 5 5 6 7 5 3 1 1 1 2 3 3 4 4 4 4 4 4 4 4 5 5 6 7 7 5 1 -1 -0 2 4 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 7 7 7 7 8 7 7 7 7 7 8 8 8 nan
nan -2 -2 0 4 7 10 12 13 12 8 5 4 4 1 0 1 5 8 10 10 7 5 6 11 18 22 20 16 12 8 7 6 7 8 8 8 7 6 5 4 3 2 1 1 1 1 1 2 3 4 3 2 2 5 6 6 7 9 10 8 5 3 2 0 0 3 6 7 8 8 9 9 8 7 6 6 8 8 6 4 2 1 1 2 3 4 4 4 4 4 4 4 4 4 5 5 6 7 6 5 1 -1 1 2 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 nan
nan 1 -0 -0 1 2 3 4 5 6 7 7 8 7 5 3 4 7 10 11 8 4 0 0 6 14 19 19 16 12 9 7 6 6 7 8 8 7 6 4 3 2 2 1 2 2 2 3 4 4 4 3 3 4 6 7 7 8 11 12 10 6 4 4 3 3 3 5 6 7 8 9 10 10 9 7 7 8 8 6 4 2 1 2 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 2 0 1 2 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 6 6 6 6 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 nan
nan 7 5 3 2 1 0 -0 -0 2 6 10 13 14 12 10 9 10 11 10 7 3 -0 -1 3 9 14 16 15 13 10 7 6 5 6 7 8 6 4 3 3 2 2 3 4 4 4 4 5 5 5 4 5 6 7 7 8 9 11 11 10 7 7 9 11 9 6 5 6 6 7 7 8 9 9 8 7 8 8 6 3 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 3 1 0 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 nan
nan 12 12 9 5 3 2 1 0 2 6 11 15 17 15 13 12 11 10 8 7 4 2 0 1 4 8 11 13 13 11 8 6 6 7 7 6 5 4 3 3 2 3 4 6 6 6 6 6 7 6 6 6 7 7 8 8 9 10 9 8 7 10 15 18 15 10 7 6 6 5 4 5 6 8 8 8 8 7 5 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 3 1 -0 1 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 nan
nan 15 16 13 9 6 6 4 3 3 6 10 13 14 13 12 11 8 6 5 5 5 3 1 1 2 4 7 11 12 11 9 8 7 8 7 6 4 3 3 3 3 3 5 8 9 8 8 8 8 8 7 6 6 7 7 8 8 8 7 6 7 9 15 18 16 10 7 6 5 4 2 1 3 5 7 8 7 6 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 2 -0 1 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 nan
nan 14 14 12 9 8 8 7 5 4 6 8 10 11 10 10 9 6 4 3 3 4 4 2 2 2 4 7 9 11 11 10 9 9 8 7 5 4 3 3 3 3 3 6 9 10 9 9 9 9 9 7 6 6 6 6 7 7 7 5 4 5 8 12 14 13 8 6 6 6 4 2 1 2 4 6 7 7 6 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 2 -0 0 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 nan
nan 11 9 7 6 7 8 7 5 4 5 7 8 9 9 9 8 6 3 2 3 4 4 3 3 4 6 8 9 10 10 10 10 9 8 6 5 4 3 3 3 3 4 6 9 10 9 9 9 9 9 8 6 5 4 5 5 6 5 3 3 5 9 12 12 9 7 7 7 8 6 5 4 4 6 7 7 7 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 0 0 1 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 nan
nan 9 8 7 6 6 8 8 7 5 4 5 6 7 8 8 8 6 4 3 3 4 4 4 4 5 7 8 9 9 9 9 9 9 7 6 5 4 4 4 4 4 4 6 7 8 8 8 8 9 10 9 7 5 3 2 2 3 3 3 4 7 11 12 11 9 8 9 10 9 8 7 6 6 7 8 7 6 5 3 3 2 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 2 0 0 1 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 6 6 7 7 8 9 9 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 8 8 7 7 nan
nan 9 11 11 9 7 8 9 8 6 4 3 4 5 6 6 7 6 5 4 4 4 4 4 5 6 7 8 9 8 8 8 8 8 7 5 4 4 4 4 4 5 5 5 7 7 7 7 8 9 10 10 8 6 4 1 -1 -1 1 3 6 8 11 12 12 11 12 12 12 10 8 7 7 7 8 8 7 6 4 3 2 2 2 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 4 4 2 1 0 1 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 8 9 9 10 9 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 8 8 8 7 nan
nan 7 11 13 12 9 8 7 6 5 4 4 4 3 4 5 6 6 6 5 4 4 4 4 5 6 7 7 8 8 8 8 8 7 6 4 4 4 4 4 5 6 6 6 7 7 7 7 7 8 8 9 8 7 5 2 -2 -2 1 4 6 7 9 11 12 13 14 14 13 10 8 6 6 7 8 8 7 6 4 3 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 3 2 1 1 1 2 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 6 6 6 6 6 6 6 7 7 8 9 10 9 9 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 nan
nan 4 8 11 11 9 7 5 4 4 4 5 5 4 4 6 8 7 6 4 3 3 3 4 5 5 6 7 7 7 8 8 8 6 5 4 3 3 3 3 4 6 6 6 7 7 7 7 7 6 6 6 6 6 6 4 1 1 3 5 6 6 7 9 11 13 14 14 12 9 7 6 6 7 8 8 7 6 4 2 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 4 4 3 3 2 1 1 2 1 2 2 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 8 9 9 9 9 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 nan
nan 1 5 8 10 8 5 3 2 3 4 6 6 6 7 9 10 9 6 4 3 2 3 3 4 5 5 6 6 7 7 7 7 6 5 4 3 3 3 3 4 5 6 6 6 6 7 7 6 5 4 3 4 4 5 5 5 4 5 7 7 6 6 7 8 9 10 10 9 7 6 5 6 7 8 8 8 6 4 2 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 3 3 3 3 2 1 1 1 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 7 7 7 6 6 6 6 7 8 8 8 8 nan
nan 2 4 7 9 8 6 4 2 3 4 5 6 7 9 11 12 10 7 5 3 2 2 3 4 4 5 6 6 6 6 7 7 7 5 4 3 3 3 4 4 5 5 5 4 5 6 6 6 4 3 1 1 3 5 6 6 6 6 7 8 8 7 6 6 5 6 6 6 6 5 5 5 7 8 8 8 6 4 3 2 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 2 1 1 1 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 8 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 7 7 7 6 6 6 7 7 8 9 8 nan
nan 3 4 6 8 8 7 5 4 4 4 4 6 10 12 13 12 10 8 5 3 2 1 2 3 5 6 6 6 6 6 7 7 7 5 3 2 2 4 5 5 5 5 5 4 4 5 5 5 4 3 1 0 2 4 7 7 6 6 7 9 10 9 7 5 4 3 3 4 5 5 5 6 7 8 8 7 6 4 3 2 2 2 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 2 2 2 1 1 1 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 5 5 6 7 7 7 7 7 6 7 7 8 9 9 nan
nan 6 4 5 6 7 7 6 5 5 6 7 9 13 15 14 12 10 8 6 4 2 0 1 3 5 6 7 7 7 7 7 8 8 5 2 1 2 4 6 6 6 6 5 5 5 5 5 5 5 4 2 0 1 4 8 8 7 6 7 10 12 11 8 5 3 2 2 4 6 6 6 6 7 7 7 7 5 4 3 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 1 2 2 2 2 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 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 5 4 4 3 3 3 4 4 5 6 6 7 7 7 7 7 7 7 8 9 9 nan
nan 8 6 5 5 5 6 6 6 8 10 12 15 16 16 13 11 10 9 7 4 2 1 1 3 5 8 9 10 9 8 8 9 7 5 2 1 2 4 7 7 7 6 6 6 6 5 6 7 9 9 5 2 2 5 8 9 6 5 6 9 10 8 5 3 2 2 4 7 9 9 8 7 7 7 7 6 5 4 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 1 2 2 2 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 6 5 5 6 6 6 6 6 6 5 5 5 6 6 7 6 6 6 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 5 6 7 8 8 7 7 7 7 8 8 9 nan
nan 9 7 5 5 4 5 7 8 11 14 16 18 17 14 12 10 9 9 7 5 2 2 3 5 7 9 11 13 12 10 9 8 6 4 2 2 3 5 8 8 8 6 6 6 6 5 6 9 13 14 11 6 4 6 8 8 5 4 5 5 4 2 1 1 2 5 9 12 13 13 11 9 8 7 6 5 4 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 4 4 4 5 6 7 7 6 6 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 6 7 7 8 8 7 7 8 8 8 9 nan
nan 10 9 7 7 7 8 10 10 12 14 16 17 15 12 11 10 9 8 6 4 3 3 5 7 8 9 12 13 12 10 9 7 5 4 4 4 5 6 9 9 8 6 5 5 5 5 7 10 14 16 15 10 7 6 7 7 5 4 3 2 -0 -1 -0 2 5 9 14 17 18 16 13 10 8 7 6 5 4 3 3 3 2 2 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 7 6 5 4 3 4 5 6 7 7 7 6 6 5 5 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 6 6 7 8 8 8 8 8 8 8 9 nan
nan 11 10 10 10 11 12 12 11 11 13 14 14 11 10 10 10 10 8 5 3 3 5 8 10 10 9 10 11 11 9 7 6 4 4 5 6 6 8 9 10 8 6 5 5 5 6 7 9 10 13 16 13 9 7 7 7 6 5 3 2 1 3 5 6 9 12 16 19 20 19 15 12 9 7 6 4 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 4 5 5 6 5 5 5 6 6 6 6 5 3 2 2 4 6 7 8 8 7 7 6 6 5 5 5 5 5 5 6 6 5 4 4 4 5 5 5 5 5 6 7 8 8 8 8 8 8 8 nan
nan 12 11 11 12 13 13 12 10 10 11 11 10 9 8 8 10 10 8 5 2 3 7 11 13 11 9 8 8 9 7 5 4 3 3 5 6 7 9 10 9 7 6 5 6 7 7 8 7 7 9 13 14 11 8 6 6 7 6 5 4 5 8 10 10 9 10 13 16 19 19 17 14 10 8 6 4 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 2 1 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 4 5 6 5 5 5 6 6 7 7 6 3 1 1 3 6 7 8 8 8 8 7 7 6 6 5 5 5 6 6 6 5 5 4 4 4 4 4 4 5 6 7 7 8 8 8 8 8 8 nan
nan 12 10 10 11 12 11 9 8 8 7 7 7 8 7 7 9 11 9 5 1 2 7 13 14 12 9 8 8 8 6 4 2 2 2 4 6 8 10 10 9 7 6 6 7 8 7 7 6 6 7 10 12 11 9 6 4 5 6 6 6 7 10 11 10 7 6 7 10 14 18 18 16 12 9 6 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 3 2 3 6 6 5 4 5 6 7 9 10 8 2 -3 -2 3 6 7 8 8 9 9 9 8 8 7 6 6 5 5 6 5 5 5 5 4 4 4 4 4 5 5 6 7 8 8 8 8 8 7 nan
nan 11 8 8 8 8 7 6 6 6 5 4 5 8 8 8 9 10 9 6 2 3 7 13 15 13 11 10 9 8 6 3 1 0 1 3 7 9 10 10 8 7 7 8 8 6 4 4 5 5 6 7 8 10 8 4 1 2 4 6 6 7 8 9 8 5 3 4 6 10 15 18 17 14 10 7 5 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 5 5 5 6 6 6 2 0 3 6 6 4 4 6 8 9 10 10 7 -1 -6 -3 2 5 6 7 8 9 9 10 9 9 8 7 6 6 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 7 8 8 8 8 7 nan
nan 8 6 5 5 5 4 4 5 5 4 3 4 8 10 9 9 10 9 7 4 5 8 12 14 13 12 10 10 8 6 3 0 -0 1 3 6 9 10 9 7 7 10 11 9 5 1 1 3 4 5 5 6 7 5 0 -3 -2 2 6 7 6 7 7 6 4 4 4 5 8 13 17 18 15 11 8 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 2 3 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 5 4 3 3 4 4 4 4 4 4 6 7 8 6 5 4 2 1 4 6 6 4 4 8 11 10 7 5 2 -3 -5 -2 2 5 5 6 7 8 9 10 10 10 9 9 7 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 6 7 8 8 8 8 7 nan
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nan 7 6 6 7 9 10 10 10 10 9 7 6 6 6 7 8 9 9 8 7 7 8 12 17 18 17 13 9 5 3 1 1 2 3 6 8 11 12 11 9 7 5 4 4 4 4 4 4 4 5 6 7 7 7 7 7 8 8 9 8 8 8 8 9 10 10 9 8 8 8 8 8 9 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 6 7 7 7 6 6 7 7 6 4 2 2 2 1 1 1 2 2 2 2 3 2 2 2 4 7 9 9 9 9 9 9 9 9 9 9 10 11 12 14 15 14 13 11 10 10 10 10 10 9 9 9 9 9 8 7 6 5 6 7 8 9 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 10 9 7 6 5 5 5 5 5 nan
nan 6 5 5 6 8 11 14 15 14 12 8 4 3 4 6 7 8 7 5 3 3 6 11 16 17 16 13 9 6 3 2 2 1 1 2 4 6 9 10 10 8 7 5 5 5 5 5 4 3 4 5 5 5 4 4 5 5 6 6 6 6 7 8 9 10 10 9 8 8 8 8 8 9 10 10 11 11 11 12 12 13 13 14 13 13 12 12 11 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 7 6 4 3 3 3 3 2 2 2 2 3 4 4 3 2 3 5 7 8 9 9 9 9 9 9 9 9 9 9 11 13 14 14 13 11 10 9 10 11 11 10 9 9 9 9 9 8 7 6 6 6 6 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 10 9 8 7 7 7 7 8 nan
nan 4 4 5 6 8 11 15 18 18 15 10 5 3 4 5 5 4 2 0 -1 -0 4 10 15 17 16 13 9 6 3 2 1 -0 -1 -1 -1 -0 3 5 7 7 8 7 7 7 7 6 5 4 3 4 3 2 1 1 3 4 4 4 5 5 6 7 8 9 9 9 8 8 8 8 9 9 10 10 10 11 11 12 13 13 14 13 13 12 12 11 11 11 12 13 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 10 9 7 5 5 5 5 5 5 4 4 5 6 7 8 7 5 6 7 8 8 8 9 9 9 9 9 9 9 9 10 12 13 14 13 11 10 9 8 9 10 10 9 9 10 10 10 10 9 8 7 6 6 6 7 8 8 9 9 9 9 9 9 9 9 8 8 9 10 11 10 10 9 9 9 9 10 11 nan
nan 5 7 8 9 9 11 13 16 17 14 10 7 6 6 5 4 2 -0 -1 -1 1 5 10 15 18 17 13 8 4 2 2 2 1 -1 -2 -4 -5 -3 -0 3 6 8 9 9 9 10 9 8 6 5 4 2 1 1 1 3 4 4 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 11 10 10 10 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 7 8 8 9 8 8 8 8 7 6 7 10 12 12 10 7 6 7 8 8 8 7 6 7 8 10 11 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 11 13 14 13 12 10 9 9 10 10 10 9 9 9 11 12 12 11 10 9 8 7 7 8 8 8 9 9 9 9 10 10 9 9 8 6 6 7 8 9 10 10 10 9 9 10 11 nan
nan 10 11 12 12 11 10 10 12 12 11 8 7 7 8 7 5 4 3 3 4 4 7 11 16 18 16 11 6 2 1 2 3 2 1 0 -1 -1 1 4 7 10 11 11 11 12 12 12 10 8 7 5 4 2 2 3 5 6 6 6 7 7 8 8 9 9 9 9 10 10 10 10 10 10 9 8 8 8 9 10 10 10 9 9 10 10 11 11 12 12 12 12 12 13 14 14 14 14 13 13 12 12 12 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 7 7 8 8 9 9 8 8 8 5 5 8 11 13 12 9 7 7 9 11 12 11 8 7 8 9 10 10 10 9 8 7 6 7 8 9 9 9 9 9 9 9 9 10 13 15 14 12 10 9 9 10 12 12 10 8 7 8 11 13 13 11 10 9 9 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 8 9 10 11 10 9 7 7 8 nan
nan 15 14 13 12 11 10 10 10 9 7 6 6 7 8 8 8 7 8 8 8 7 8 11 14 15 13 8 3 1 1 2 3 1 3 6 10 13 15 16 16 15 14 13 13 12 12 12 11 10 9 7 6 5 5 6 7 7 8 8 8 8 9 9 10 10 11 11 12 12 12 11 10 10 9 8 8 8 9 9 9 9 9 10 10 11 11 12 12 12 12 12 13 14 14 14 14 14 14 13 13 12 12 12 13 12 11 10 10 9 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 6 4 5 8 11 12 11 8 6 8 11 14 13 9 7 7 8 9 9 10 10 10 8 7 7 8 9 9 9 8 8 9 9 9 10 12 15 15 13 10 8 7 8 10 11 11 9 6 5 6 9 11 11 10 9 9 8 8 8 8 8 8 8 7 8 9 10 10 9 9 9 9 9 10 11 11 10 9 7 6 6 nan
nan 14 13 11 10 10 10 10 9 8 6 5 5 7 9 9 9 9 8 8 7 8 9 10 11 10 8 4 -0 -1 1 2 3 4 8 14 20 24 25 24 21 18 14 12 11 11 10 11 11 12 12 11 9 9 9 9 9 10 10 10 10 10 11 11 12 13 13 13 13 13 12 11 9 9 8 7 6 7 9 10 10 10 10 11 11 11 11 11 12 12 13 13 14 14 14 14 14 15 14 14 13 12 11 11 12 12 12 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 9 8 6 6 7 10 13 14 11 7 8 10 12 11 8 5 5 6 7 8 10 10 10 9 8 8 9 9 9 9 9 9 9 8 8 9 11 12 13 12 10 8 7 6 6 8 9 9 7 6 5 6 8 8 9 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 9 10 11 11 11 12 11 10 9 9 9 nan
nan 10 9 8 8 8 9 9 8 7 7 6 6 7 8 9 9 8 7 5 5 6 8 8 7 5 3 -1 -4 -2 -0 1 2 6 11 17 20 22 22 22 19 14 11 10 10 10 11 12 14 15 15 15 14 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 11 9 7 7 6 6 7 8 9 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 14 14 15 15 15 14 13 12 12 12 12 12 11 11 10 10 10 10 10 11 11 10 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 9 8 6 7 10 14 16 13 10 9 11 13 11 9 7 6 5 5 5 7 8 8 7 7 8 9 9 9 10 10 10 10 9 9 9 10 11 11 11 10 9 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 7 8 10 11 11 10 10 10 10 11 11 11 11 11 11 11 12 nan
nan 6 6 6 7 9 10 10 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 4 2 -2 -4 -2 -1 -2 -2 1 5 8 7 7 9 11 11 10 9 10 11 13 14 16 17 18 18 18 17 17 17 17 16 16 14 13 13 13 12 12 12 11 11 10 10 10 9 7 6 6 6 7 9 10 10 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 14 14 15 16 16 16 15 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 10 10 11 10 10 8 5 4 7 12 15 14 11 11 12 14 14 12 11 9 7 4 2 4 5 5 5 5 6 7 8 9 9 10 11 11 11 11 11 11 11 10 9 9 9 8 8 8 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 10 12 13 11 10 9 9 9 10 10 10 9 9 10 11 nan
nan 6 5 6 8 10 11 11 11 10 9 9 9 8 7 6 5 6 7 8 8 8 8 8 9 9 8 5 2 1 -1 -4 -5 -5 -3 -3 -5 -5 -1 3 6 8 10 12 14 17 18 19 19 18 18 18 18 18 18 18 17 15 14 12 11 10 9 9 9 8 8 7 7 7 7 7 6 7 8 10 11 11 11 11 11 11 12 11 11 11 11 11 12 13 13 13 13 13 13 13 14 15 16 16 16 15 15 14 14 13 13 12 12 12 12 12 12 11 11 11 12 12 11 10 9 9 8 8 8 8 8 9 9 10 10 11 10 7 3 1 3 8 12 12 11 10 12 13 14 14 14 13 11 8 4 3 4 4 4 4 3 3 5 8 9 9 10 11 11 11 11 11 10 9 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 7 7 9 12 13 11 9 7 7 8 9 10 10 9 8 8 9 nan
nan 7 7 8 9 11 12 12 12 12 11 12 12 9 7 5 5 7 9 11 11 12 12 12 13 14 15 13 10 6 2 -2 -4 -4 -4 -5 -6 -3 1 6 10 13 14 16 17 19 19 19 17 16 15 14 14 15 16 16 14 11 9 7 6 5 6 6 7 7 7 7 7 8 8 8 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 13 14 15 16 16 16 15 15 15 15 14 13 13 12 12 12 12 12 12 11 12 12 12 11 11 10 10 9 8 8 8 9 9 9 10 10 10 7 3 0 1 5 10 10 9 9 10 11 11 13 14 15 14 12 9 7 6 6 6 6 4 3 4 6 7 8 9 10 11 12 11 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 9 9 9 8 6 5 7 10 11 11 9 7 7 8 9 10 10 9 8 9 10 nan
nan 9 9 9 9 10 12 12 11 11 13 15 15 11 8 6 7 9 12 13 13 12 12 12 12 14 15 14 12 9 5 2 2 2 2 2 4 9 13 16 17 18 17 17 18 17 16 14 12 11 10 10 10 11 12 11 9 5 2 1 2 3 4 6 7 8 8 8 8 9 10 10 11 12 12 12 12 12 12 12 12 12 12 13 14 14 13 12 12 12 12 13 12 12 11 11 12 13 14 15 15 15 16 16 16 16 15 14 14 13 13 13 13 13 12 11 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 9 5 2 1 2 6 7 7 8 9 10 10 10 11 13 13 13 12 11 9 9 10 10 8 6 5 5 5 5 7 10 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 10 10 8 6 5 6 8 10 10 10 8 8 8 9 9 9 9 9 9 11 nan
nan 10 10 9 9 10 10 9 8 9 11 14 16 14 11 11 11 12 12 12 11 9 8 8 9 10 10 10 9 8 7 7 8 10 12 15 20 23 24 23 20 17 15 14 13 12 9 7 7 7 7 7 7 7 8 6 3 0 -1 -0 2 4 6 7 8 8 8 8 9 10 11 12 13 13 13 13 13 13 13 12 12 12 13 14 14 14 13 12 12 12 12 12 11 11 10 10 11 12 13 14 15 16 17 17 17 16 15 15 14 14 13 13 13 13 13 12 11 11 11 11 11 12 12 11 10 10 10 9 8 9 9 10 10 10 8 5 3 1 2 3 4 6 8 9 10 9 10 10 11 11 12 11 10 10 11 12 11 9 7 6 4 4 6 10 12 12 12 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 9 9 8 7 6 7 8 9 10 9 9 9 9 9 9 9 10 10 9 9 nan
nan 11 9 8 9 10 9 7 6 7 9 13 16 14 13 13 13 12 10 7 5 3 3 5 7 8 7 6 6 6 7 8 10 14 18 24 27 28 25 20 14 10 8 8 7 5 3 3 4 5 6 6 6 5 3 2 -0 -1 -0 2 4 5 6 7 7 7 7 8 9 11 12 12 13 13 13 13 13 13 13 13 12 12 13 13 14 14 13 12 12 11 11 11 10 10 9 9 10 12 13 14 16 17 17 17 16 15 15 14 14 14 14 14 14 14 14 13 12 11 10 10 10 11 11 11 11 10 10 10 9 9 9 9 10 10 9 8 6 4 3 3 4 5 7 9 11 11 10 9 9 9 11 11 10 9 10 11 11 11 10 8 6 5 6 9 11 12 12 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 7 7 8 8 8 9 9 9 9 9 9 8 9 10 10 10 9 nan
nan 9 7 9 11 12 10 7 6 8 11 14 16 13 11 11 11 10 8 5 1 -0 1 3 6 6 6 6 5 5 5 6 9 12 16 20 21 19 15 9 4 2 2 2 1 1 1 2 4 5 6 5 4 2 1 0 0 1 3 4 4 5 6 7 7 6 7 8 9 10 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 9 10 10 12 13 15 17 17 16 15 14 14 13 14 14 14 14 14 14 14 14 14 13 12 11 10 9 9 10 11 11 11 11 10 9 9 9 9 9 9 10 9 9 7 6 6 5 6 7 9 11 11 10 9 8 8 8 10 10 10 10 11 11 11 11 10 8 6 6 7 9 10 11 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 8 9 9 8 8 8 9 8 8 8 7 7 9 10 11 10 nan
nan 7 7 12 16 15 11 7 6 9 13 15 15 13 11 9 8 8 7 6 4 1 0 2 4 6 7 7 7 7 7 7 9 11 13 13 11 7 4 1 -1 -1 -1 -1 -0 1 2 3 4 4 4 3 1 1 1 2 3 4 5 5 4 5 7 7 7 7 7 8 8 8 9 10 11 11 11 12 12 13 14 14 13 13 12 12 12 12 13 14 14 13 11 10 10 10 10 10 11 13 15 16 16 15 14 13 13 13 14 14 14 14 13 13 14 14 14 14 14 13 13 11 10 9 10 10 11 11 12 12 11 10 10 9 9 9 9 9 9 9 8 7 7 7 8 9 10 11 10 9 8 6 5 6 9 11 12 11 10 8 8 8 7 6 6 6 7 8 9 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 9 10 10 9 8 8 9 9 8 8 7 7 8 9 10 10 nan
nan 8 10 17 20 16 9 3 1 4 7 10 12 12 10 7 5 5 6 8 7 4 2 4 6 7 8 9 8 8 9 10 11 13 13 11 7 2 -1 -1 -0 0 0 1 2 3 4 4 4 3 2 1 1 2 2 4 5 5 6 5 5 7 8 8 7 7 8 7 6 6 8 9 10 11 11 12 13 14 14 13 12 12 11 11 11 12 14 14 14 13 11 10 9 10 10 11 13 14 15 14 13 12 12 12 13 14 15 15 14 13 13 13 13 14 14 14 14 14 14 13 12 11 11 11 10 11 12 13 14 13 12 10 10 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 8 6 3 4 6 8 11 12 10 8 7 7 7 7 8 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 8 6 5 7 9 11 11 11 10 10 10 10 9 8 7 6 6 6 7 8 nan
nan 14 15 19 20 13 5 -2 -5 -3 -0 3 6 7 6 4 2 2 5 7 7 6 6 7 8 8 7 6 7 9 11 14 15 16 15 12 7 3 1 2 2 3 3 4 5 5 5 5 4 2 1 1 2 3 4 4 4 5 5 7 9 9 9 8 8 8 7 5 4 5 7 9 10 10 11 12 13 14 12 10 10 11 11 11 12 13 15 15 13 11 9 8 8 10 11 13 14 14 13 12 11 11 12 13 15 16 16 15 14 13 13 13 13 14 14 14 14 14 14 14 14 13 12 12 10 10 11 13 14 15 14 12 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 9 7 5 4 5 6 9 11 10 9 8 8 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 6 4 6 9 11 12 12 13 13 13 11 10 8 7 6 5 5 5 6 nan
nan 18 19 19 17 11 4 -1 -3 -2 -0 1 3 4 4 3 2 3 5 7 7 6 7 9 9 7 5 4 6 11 15 19 21 20 18 14 10 7 5 6 6 6 6 7 7 6 5 4 3 2 2 2 3 3 4 4 4 5 7 9 10 10 8 8 7 7 6 4 4 6 8 9 9 11 12 12 13 12 10 9 10 10 11 11 11 13 15 14 12 10 8 7 8 10 12 14 14 12 11 11 12 12 13 15 16 16 15 14 13 13 13 13 14 14 15 15 15 15 15 15 14 14 13 12 11 9 9 10 12 13 13 12 11 10 10 9 9 8 8 8 8 8 9 10 9 8 8 8 9 8 8 7 6 6 7 9 9 9 9 9 9 9 9 10 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 6 4 5 7 8 9 10 12 14 14 13 11 9 8 7 6 6 6 6 nan
nan 18 18 17 14 10 6 5 5 5 5 5 5 6 5 5 5 6 8 8 7 6 6 6 6 5 5 6 10 15 19 22 22 22 20 18 15 12 10 9 9 9 9 8 8 6 5 4 2 2 3 3 4 4 4 4 4 6 8 10 10 9 7 7 6 5 5 5 7 8 8 9 9 11 12 12 12 12 10 10 11 11 10 9 9 12 14 13 12 10 8 7 8 10 12 13 12 11 11 12 13 13 14 16 16 16 14 13 12 13 13 14 14 15 16 16 16 16 16 15 15 14 13 12 11 9 7 7 8 10 11 11 11 11 11 10 9 9 9 8 8 9 9 10 9 8 7 7 8 9 9 8 8 7 7 7 8 8 9 9 8 8 8 9 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 6 5 6 9 12 13 13 11 10 9 9 8 8 8 8 nan
nan 14 14 13 11 9 8 9 10 11 10 9 9 9 9 9 9 9 10 9 8 6 4 3 4 4 6 9 14 17 19 19 19 19 20 20 19 16 13 12 11 11 10 9 7 6 4 3 3 3 3 4 4 3 4 5 5 7 9 10 9 8 7 6 6 5 4 6 8 9 9 9 10 11 12 13 13 12 11 11 10 10 9 8 9 11 12 13 13 12 10 9 9 9 10 10 10 10 11 12 12 13 14 15 15 14 13 13 13 13 14 15 15 16 16 17 17 17 17 16 15 14 13 13 12 10 8 7 7 9 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 8 8 8 8 8 9 8 8 8 8 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 8 6 5 5 7 9 10 11 10 10 9 9 9 9 9 9 nan
nan 8 8 8 7 7 8 10 12 12 11 11 11 12 12 12 12 11 10 9 7 5 4 3 4 5 6 8 11 12 12 12 13 15 18 20 19 16 14 13 12 11 9 8 6 4 3 2 3 3 3 3 3 3 4 6 7 7 9 10 9 8 6 6 6 5 5 6 8 9 9 10 11 12 13 13 12 12 11 10 8 8 8 9 10 11 12 13 14 13 12 10 9 9 9 9 9 10 11 12 12 12 13 14 13 13 13 13 13 14 15 15 16 16 16 17 17 17 17 16 15 14 13 13 12 12 10 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 7 8 9 9 9 9 9 9 9 9 9 9 9 8 7 8 9 10 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 7 6 6 6 7 8 8 9 9 8 8 8 8 9 10 nan
nan 2 3 4 5 7 8 9 10 10 9 9 9 10 10 11 13 12 10 8 7 5 4 4 5 5 5 4 4 4 4 5 7 9 13 16 15 13 12 12 11 10 8 6 4 3 2 2 3 3 3 2 2 3 5 7 8 9 10 10 9 7 5 6 6 6 7 8 9 10 11 12 13 13 12 11 11 11 10 9 8 8 8 10 11 12 12 13 13 13 11 9 8 8 8 9 9 10 11 12 12 13 13 14 13 13 13 13 14 14 15 15 15 15 15 16 17 17 16 16 15 14 14 13 13 12 12 11 10 10 10 10 10 11 11 11 11 10 9 9 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 9 10 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 6 6 6 7 6 6 7 7 8 8 8 8 8 8 8 7 7 8 8 nan
nan 2 1 3 5 8 9 8 7 6 5 3 3 3 5 9 13 15 14 11 8 6 5 5 5 5 4 3 2 2 1 1 2 4 8 11 11 10 10 10 10 8 6 4 3 2 2 3 3 3 2 1 2 4 7 8 10 11 11 10 8 5 4 5 7 8 9 10 10 11 13 13 13 12 11 10 10 10 10 10 9 9 10 11 11 11 11 11 11 10 8 7 7 8 9 9 10 10 11 11 12 13 14 14 14 13 13 13 14 14 15 15 15 15 15 16 16 16 16 16 16 15 15 14 14 13 13 12 12 11 10 10 10 11 11 12 12 11 10 10 10 9 9 8 8 8 9 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 6 7 7 8 9 9 9 8 8 8 8 7 7 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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 0 0 0 0 0 0 0 0 0 1 9 23 30 30 31 30 26 24 25 27 28 29 29 29 30 31 33 35 36 38 39 39 39 37 36 35 33 29 27 25 25 25 25 25 25 24 23 25 26 28 29 29 27 23 21 18 16 17 19 23 29 41 57 71 79 88 94 94 90 84 75 66 60 59 59 59 64 79 95 104 110 120 132 150 172 189 194 184 169 158 155 151 139 125 114 111 109 111 126 172 273 439 565 549 449 374 330 271 241 235 233 213 177 144 117 95 81 72 64
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 24 28 28 27 26 25 22 23 24 25 26 27 26 26 27 28 30 32 34 35 36 37 36 35 33 31 29 26 25 24 24 23 24 25 25 24 23 23 24 26 28 28 25 22 21 19 17 18 20 23 30 41 55 67 78 85 89 87 81 73 62 54 58 61 59 61 68 81 92 102 110 118 132 152 174 190 194 182 170 161 158 144 135 132 139 140 133 133 159 234 346 453 500 458 412 352 304 292 291 298 307 315 296 245 201 184 164 137
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 23 25 24 24 23 19 19 20 22 22 23 24 24 24 24 25 26 28 30 32 33 34 34 32 31 30 28 25 24 24 24 23 22 23 24 23 22 22 22 22 23 25 25 23 22 20 18 18 19 20 25 31 41 52 63 73 80 80 74 67 59 53 53 58 60 62 65 72 83 97 108 114 123 140 158 179 193 184 172 162 155 140 130 129 139 151 155 152 152 169 222 308 392 414 392 319 270 259 258 267 296 342 366 334 295 306 298 263
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 20 20 20 21 21 18 18 18 19 20 21 21 22 22 22 22 22 23 25 27 29 31 32 31 29 28 26 24 23 24 23 23 23 23 23 20 20 20 20 20 20 21 22 22 21 20 19 20 20 18 21 26 30 37 48 60 69 73 70 64 59 56 54 55 56 58 59 63 68 83 100 115 125 133 145 165 182 179 169 160 150 138 129 125 132 150 168 175 180 191 201 232 272 300 307 263 218 196 179 166 174 199 231 257 270 312 384 387
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 18 17 16 17 17 16 16 16 17 18 18 19 19 20 20 21 21 22 23 24 25 26 27 27 27 27 24 22 22 22 22 22 22 22 21 21 19 19 19 18 19 19 19 19 19 19 18 19 18 16 18 21 24 29 36 45 56 65 69 68 65 60 59 63 57 63 60 57 55 67 87 107 121 132 142 155 169 175 169 160 149 141 136 130 137 152 167 178 189 201 211 214 217 215 212 202 169 153 134 109 98 101 104 109 128 144 157 175
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 16 15 14 14 14 13 13 14 14 15 16 17 17 18 19 19 20 21 22 23 24 25 26 27 26 26 24 22 21 21 21 21 21 21 20 18 17 18 18 18 18 18 18 18 17 17 16 17 16 15 16 18 21 24 29 35 43 54 64 71 70 64 59 62 61 67 59 60 58 62 72 88 107 125 139 149 160 171 171 165 153 147 145 144 146 152 162 173 187 202 211 207 196 179 162 147 119 106 95 83 78 73 67 62 62 64 67 59
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 14 14 13 12 11 11 11 11 12 13 14 15 15 17 18 18 19 19 19 19 20 22 23 24 25 24 22 21 20 20 20 20 20 19 17 16 16 17 18 17 17 17 17 17 16 16 15 16 15 16 15 16 18 22 26 31 37 47 60 71 76 70 62 60 64 63 57 54 54 54 58 66 82 105 126 141 151 164 165 163 159 155 155 155 152 153 157 163 173 197 222 209 190 165 142 120 97 81 70 63 60 56 54 55 56 61 66 62
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 10 9 7 6 5 3 5 6 7 8 8 8 8 9 10 11 12 13 14 15 15 16 17 18 19 20 20 20 20 19 19 19 19 18 15 14 14 14 15 15 15 16 16 16 16 16 16 15 14 15 12 16 19 19 21 24 28 35 44 56 66 72 74 73 71 66 61 54 49 45 43 42 47 65 82 99 113 123 129 137 143 143 142 146 149 149 145 142 150 168 176 178 183 173 151 128 108 95 89 80 68 55 47 42 40 42 46 51
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 11 8 4 1 0 0 2 3 5 5 6 6 6 8 9 11 12 12 13 14 14 15 16 18 19 20 20 20 19 19 19 19 19 18 17 15 14 14 14 14 14 14 15 16 16 16 15 15 13 14 14 16 18 16 18 22 25 30 37 46 56 65 70 71 71 68 61 53 50 48 45 41 43 54 66 79 92 99 107 119 131 136 136 140 144 143 141 141 147 158 167 167 172 170 161 147 126 107 100 91 77 62 51 44 40 40 43 48
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