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 9 7 6 6 8 10 10 11 12 12 10 9 9 8 7 6 6 6 5 5 5 3 2 3 4 6 7 7 4 2 3 7 10 8 6 6 8 9 7 6 6 5 4 3 4 6 7 6 6 6 7 8 8 8 6 4 4 6 8 8 8 7 7 7 6 7 9 10 10 8 5 3 5 9 13 13 10 8 8 11 11 10 8 8 9 10 10 10 9 8 7 7 6 5 5 5 6 7 7 7 8 9 10 9 6 5 5 5 4 4 3 3 4 4 4 3 2 2 2 3 3 2 2 2 3 3 3 3 3 3 2 2 2 3 3 4 4 5 4 4 4 4 4 4 4 3 2 2 3 4 5 6 6 6 5 5 3 2 2 3 4 5 6 6 7 8 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 6 6 6 7 7 7 6 5 5 5 5 5 6 6 6 6 6 nan
nan 9 6 6 6 7 9 11 11 12 12 11 9 9 9 9 7 5 5 6 6 5 4 2 3 6 9 10 10 7 3 0 1 5 10 11 9 7 5 4 2 2 3 3 2 2 4 6 7 6 6 7 8 9 9 9 8 8 9 10 11 10 9 8 7 5 5 7 11 14 14 12 10 10 10 9 9 9 10 11 12 13 12 9 7 7 8 9 9 9 8 7 7 6 6 6 7 6 5 6 7 7 8 10 12 10 7 5 5 5 4 4 4 5 5 4 3 2 2 2 2 3 3 2 2 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 5 6 6 6 6 6 5 3 2 1 2 3 4 5 6 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 4 4 3 3 4 4 4 5 6 6 6 7 7 8 8 7 6 4 4 4 4 4 4 4 5 4 nan
nan 7 6 6 7 9 11 12 12 13 13 11 10 10 10 9 7 4 4 5 6 5 4 3 4 8 13 16 15 10 5 1 1 5 10 11 9 5 2 0 -0 -0 0 1 2 3 5 6 7 7 8 8 10 11 11 11 12 13 12 12 11 10 9 8 6 4 3 6 11 16 18 17 14 12 9 5 4 6 10 13 13 12 10 8 7 7 8 9 10 9 8 7 7 7 7 8 8 7 5 6 8 8 8 10 12 10 7 5 5 5 4 5 5 5 5 4 3 2 2 2 2 3 3 3 2 2 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 6 7 7 7 6 4 2 1 1 3 4 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 4 4 5 5 6 6 6 7 7 8 8 8 8 7 5 4 3 3 3 3 3 3 3 nan
nan 6 5 5 7 9 11 13 14 14 12 10 9 9 8 8 6 4 3 5 6 5 4 3 4 8 12 16 17 13 7 3 4 8 10 9 5 2 1 0 0 -0 -0 1 3 4 6 7 7 8 9 10 12 13 15 15 16 15 13 10 9 9 9 9 7 4 3 6 11 15 17 17 15 11 8 4 3 5 8 11 11 9 8 7 6 6 7 9 10 10 9 8 7 7 8 9 8 6 4 6 9 9 8 10 13 11 7 6 5 5 5 5 4 4 3 2 2 1 1 2 3 3 3 3 2 2 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 6 6 7 8 8 7 5 3 2 2 3 4 4 5 5 6 6 6 6 5 5 6 6 5 5 5 5 6 6 6 6 6 5 4 4 3 3 4 4 5 6 6 6 7 7 7 7 7 8 8 8 7 6 5 4 3 3 3 3 3 3 nan
nan 4 4 5 6 8 10 12 13 13 10 8 8 7 7 6 6 4 4 4 4 4 3 3 4 6 6 8 12 13 11 9 9 10 8 4 2 1 2 3 2 1 1 2 4 5 6 7 8 9 10 10 11 13 14 15 15 14 12 9 8 9 10 10 7 4 3 6 10 13 14 13 12 11 10 7 5 4 5 7 7 7 7 6 6 6 7 10 11 11 9 8 7 7 7 8 7 5 5 8 10 10 10 12 13 11 8 6 5 5 4 4 3 3 2 2 1 1 2 2 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 5 6 7 6 5 4 4 4 5 5 6 7 8 9 8 6 5 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 5 5 6 6 6 7 7 7 6 7 7 7 8 8 7 6 5 5 4 4 4 4 4 4 nan
nan 7 6 5 4 5 7 10 11 10 7 6 6 6 6 6 6 5 4 3 3 2 2 3 4 3 1 2 7 11 13 13 12 8 3 1 1 3 5 5 4 3 3 4 5 6 7 8 8 9 9 8 8 9 10 11 12 12 11 9 8 9 10 9 6 3 2 5 8 11 12 11 11 11 10 8 5 3 2 3 5 7 7 6 6 6 8 10 11 11 9 8 7 7 7 6 5 4 5 8 11 11 12 14 14 11 8 6 5 5 4 3 3 3 2 2 2 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 5 7 7 7 6 5 4 4 4 5 6 7 8 9 9 8 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 nan
nan 12 9 6 5 5 6 8 10 9 7 6 7 7 6 6 6 6 5 4 4 3 3 4 4 3 1 3 6 9 11 12 9 4 0 0 2 5 6 6 6 6 5 6 6 7 7 8 8 8 7 6 6 6 7 8 9 11 12 10 9 9 8 7 5 3 3 5 7 10 12 12 10 9 8 7 4 2 1 2 4 7 7 6 6 7 9 11 11 10 9 8 7 7 6 5 4 3 5 8 11 12 13 15 14 11 7 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 5 7 7 7 6 5 4 4 4 5 5 6 7 9 10 9 8 7 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 5 5 5 5 6 nan
nan 12 8 8 8 7 7 8 9 9 8 8 8 8 8 7 7 7 7 7 6 4 3 5 6 4 2 3 5 6 8 9 6 2 -0 1 3 5 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 9 11 13 12 10 8 8 6 4 4 5 6 8 10 12 12 10 7 6 4 3 2 3 4 6 7 7 7 7 8 10 11 11 10 9 8 7 6 5 4 3 3 5 8 11 12 13 14 12 9 7 6 5 5 4 4 4 5 5 6 6 5 4 4 4 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 5 6 7 6 6 5 5 5 4 5 5 5 7 8 9 10 10 9 8 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 5 5 4 4 4 5 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 nan
nan 9 8 10 11 11 10 10 9 8 8 9 9 9 8 7 7 7 8 8 6 4 4 8 8 4 1 0 2 3 6 7 6 3 1 2 3 4 6 7 7 7 7 8 8 8 7 6 6 6 6 6 7 8 8 7 8 10 12 12 10 9 8 6 4 3 4 6 7 8 10 11 10 8 6 4 3 4 7 8 8 8 8 8 8 9 10 10 10 9 8 7 7 6 5 4 3 3 5 8 10 12 13 13 10 8 7 6 6 5 5 5 5 6 6 7 7 6 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 4 6 6 6 6 5 5 5 5 4 4 5 6 8 9 10 11 11 10 8 6 5 5 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 nan
nan 9 11 13 15 15 15 12 9 7 8 10 10 7 5 5 6 6 6 6 4 3 5 10 10 5 -1 -3 -2 2 5 7 7 5 3 2 3 4 5 6 7 8 8 8 8 7 6 5 6 6 7 7 7 7 7 6 7 10 10 9 8 9 9 6 3 2 3 4 4 5 6 8 9 8 7 5 6 8 10 10 10 9 8 8 8 9 9 10 10 9 7 7 6 5 5 4 4 4 5 7 9 11 13 12 9 7 6 6 6 6 6 6 6 6 6 7 6 5 4 3 3 2 2 2 2 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 5 6 6 6 6 5 5 5 4 4 5 6 7 8 9 11 12 11 10 8 6 5 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 5 5 5 nan
nan 10 13 15 16 17 17 14 9 7 8 10 7 4 2 3 4 5 5 4 2 2 5 10 10 5 -1 -3 -1 2 5 7 8 7 5 3 3 4 5 6 8 9 10 10 9 7 6 6 6 7 8 8 7 7 6 7 9 10 7 5 6 9 8 4 1 1 1 2 3 3 4 6 7 8 7 6 8 10 11 10 9 8 8 8 8 8 9 9 9 8 7 6 6 6 6 5 4 4 4 6 8 12 14 11 8 7 6 5 6 6 6 6 6 6 6 6 5 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 5 6 6 6 6 6 5 5 5 5 6 6 6 7 8 10 11 12 11 9 7 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 nan
nan 10 12 14 15 16 15 13 10 8 8 8 4 1 0 2 4 4 4 3 3 3 6 10 11 8 3 1 2 5 7 8 8 7 6 4 3 4 5 7 9 10 11 11 10 8 7 7 8 9 9 9 8 8 8 10 11 9 5 3 6 10 8 4 1 0 1 3 4 4 4 5 6 7 6 6 9 10 9 8 7 7 8 8 8 8 8 8 8 7 6 6 7 7 7 6 5 4 4 6 10 14 14 10 8 7 6 5 5 6 6 5 5 5 5 5 4 4 3 3 3 3 3 2 2 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 6 7 6 6 5 5 5 5 5 6 6 6 7 8 10 11 12 10 8 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 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 nan
nan 8 10 11 12 12 11 9 8 8 8 7 5 3 3 4 5 5 4 3 3 4 7 11 12 10 5 3 5 7 8 8 8 7 6 5 4 4 5 7 8 9 10 10 10 9 8 8 9 10 10 9 8 9 9 10 10 8 5 3 5 9 9 6 3 3 5 6 7 6 6 6 6 6 6 6 8 9 8 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 5 5 7 12 17 15 10 7 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 2 2 3 3 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 4 5 6 6 6 6 6 6 5 5 5 5 6 6 6 6 7 9 10 11 11 9 6 5 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 6 8 10 10 9 8 7 6 6 6 7 7 6 5 5 5 4 4 3 3 4 6 10 12 10 6 4 6 8 9 9 8 7 6 5 4 4 4 5 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 5 3 4 7 8 7 6 7 9 11 12 11 9 7 6 6 6 7 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 9 9 8 7 7 10 14 18 15 10 7 7 6 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 2 2 3 3 4 4 4 4 3 4 4 4 4 4 3 3 3 2 2 2 3 4 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 9 10 11 11 9 7 4 3 3 2 2 2 2 3 3 3 3 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 3 3 3 3 3 3 nan
nan 8 9 9 9 8 8 7 6 6 6 7 6 5 4 3 4 4 4 4 3 3 4 8 10 9 6 5 6 8 10 10 9 7 6 5 3 2 3 3 4 5 5 5 5 4 4 5 6 6 7 8 9 9 9 9 9 8 6 5 6 7 7 6 6 8 11 14 17 16 13 9 6 6 7 7 8 8 8 8 8 7 7 6 6 7 7 8 7 7 7 7 8 9 11 11 9 8 8 11 14 17 16 11 7 6 5 5 5 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 5 5 4 3 3 4 5 5 5 5 4 3 2 1 1 1 3 5 6 7 6 6 6 6 5 5 5 5 5 5 6 6 6 8 11 14 15 13 10 6 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 nan
nan 11 9 9 9 9 8 8 7 7 7 6 5 3 3 3 4 5 5 5 4 3 3 5 7 8 7 7 8 9 10 10 9 8 6 4 2 1 1 2 4 4 4 4 3 3 3 3 4 5 7 8 9 9 9 9 8 7 6 6 8 8 6 4 4 6 10 14 17 17 14 10 7 7 8 9 9 9 9 9 8 7 6 6 6 7 8 8 8 7 6 7 8 11 12 12 10 8 9 10 12 16 17 14 8 6 5 5 5 6 6 6 5 5 5 5 5 5 4 4 3 3 3 4 4 5 6 5 4 3 4 5 6 6 6 5 4 3 2 1 0 1 2 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 10 16 23 25 21 12 5 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 nan
nan 13 10 8 8 8 8 7 6 6 6 7 6 5 4 4 6 6 6 6 6 4 4 4 5 6 9 10 10 9 9 10 9 8 6 4 2 1 1 2 4 4 4 4 4 4 4 3 4 5 7 8 8 8 8 8 7 6 6 6 7 7 5 4 3 5 8 12 15 15 13 10 9 9 9 9 9 9 9 8 7 6 5 5 6 7 8 8 8 7 6 7 9 11 12 11 10 9 9 9 10 13 17 15 10 7 6 6 7 7 7 6 6 5 4 5 5 5 4 4 3 3 3 4 5 5 6 5 4 3 4 5 6 7 7 6 5 4 2 1 -0 0 2 4 5 5 6 6 6 6 6 5 5 5 5 4 4 5 6 10 19 29 35 28 14 6 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 12 9 7 7 7 6 5 4 4 5 7 8 7 5 5 6 6 6 6 6 5 5 4 4 6 10 13 12 10 9 10 9 8 6 4 3 2 2 2 3 4 5 5 5 5 5 5 5 6 7 8 8 7 7 7 7 5 5 6 6 6 5 4 4 6 8 10 12 12 11 10 10 9 9 9 8 8 8 7 6 5 5 5 6 7 8 8 7 6 6 6 8 10 10 10 10 10 10 8 8 10 14 16 12 9 8 7 7 7 7 7 6 5 5 5 5 5 4 4 3 3 4 4 5 5 5 4 3 3 4 5 6 7 8 7 6 4 2 1 0 0 1 2 3 4 5 6 6 6 6 5 5 5 4 4 4 4 5 10 18 29 33 27 16 8 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 nan
nan 11 9 7 6 5 4 3 2 3 5 6 7 6 5 6 6 6 6 5 6 6 6 5 5 8 12 15 14 11 10 9 8 7 6 5 4 4 3 3 3 4 5 6 7 6 6 5 6 7 8 8 8 7 6 7 6 5 6 7 6 6 6 6 6 7 9 10 10 9 9 10 10 9 8 8 7 7 7 6 5 5 5 6 7 7 7 7 7 6 6 6 8 9 9 9 10 11 10 9 7 7 11 15 13 10 9 8 7 6 6 6 6 6 6 5 5 5 4 3 3 4 4 4 5 5 4 3 3 3 5 6 7 8 9 8 6 4 3 2 1 1 1 1 2 3 5 6 6 6 6 6 5 4 4 4 3 4 5 8 15 23 26 22 15 10 6 5 4 5 5 6 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 nan
nan 10 10 8 6 5 4 4 3 4 5 6 5 5 5 6 7 6 5 5 6 8 7 7 9 13 15 15 14 12 11 9 8 7 6 6 6 5 5 5 4 5 6 7 7 7 6 6 7 8 9 10 10 9 7 7 7 7 8 9 8 6 5 5 6 7 9 9 9 8 8 9 9 8 7 6 6 6 6 5 5 5 6 6 7 7 7 7 7 6 6 7 8 8 8 8 9 10 10 9 8 7 9 12 12 10 9 9 7 6 5 6 6 7 7 6 6 5 4 3 4 4 4 4 4 4 4 3 3 4 6 8 9 9 9 8 6 4 3 2 1 1 -0 -0 1 3 4 5 6 6 7 6 5 5 4 4 3 3 4 7 12 17 21 20 16 11 8 7 7 7 7 7 6 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 10 10 10 8 7 6 6 6 6 6 6 5 5 6 6 7 6 6 7 8 9 9 10 14 16 15 13 12 12 11 9 8 7 6 6 6 6 7 7 6 6 6 7 7 6 6 6 7 9 10 11 12 10 8 7 7 8 11 11 8 5 3 3 4 5 7 8 8 8 7 7 7 7 6 5 5 5 6 5 6 6 6 7 7 7 7 7 6 6 7 7 7 7 8 8 8 9 10 10 9 8 8 9 8 7 8 8 8 7 6 5 6 6 7 6 5 5 4 4 4 4 4 4 4 4 4 3 3 5 7 10 10 10 9 7 6 5 4 3 2 1 -1 -1 0 2 4 5 6 7 7 7 6 5 4 4 3 3 4 6 9 14 19 21 18 13 10 9 9 8 8 7 6 5 4 4 3 3 3 3 3 4 4 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 10 11 11 10 9 8 8 7 6 5 5 5 5 6 6 6 6 7 7 8 9 10 13 16 17 14 11 10 10 9 8 7 6 6 5 5 6 7 8 8 7 7 7 7 7 7 7 7 8 10 12 12 10 7 5 6 9 11 11 8 4 1 -0 1 2 4 7 10 10 8 6 6 6 5 5 5 6 6 6 6 6 7 7 8 8 7 7 6 7 7 7 7 8 8 8 8 8 9 10 10 11 10 8 5 4 6 7 8 9 8 6 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 3 4 5 8 10 11 10 9 7 5 5 4 3 2 1 -1 -1 0 2 4 5 6 7 7 7 7 6 5 4 4 3 3 4 7 11 16 20 19 14 11 10 10 9 8 7 6 5 4 4 3 3 2 3 4 4 4 4 3 2 2 1 1 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 nan
nan 10 11 11 10 10 9 8 6 4 4 5 5 5 6 6 6 6 6 6 7 8 10 12 14 14 12 10 9 8 7 7 6 5 5 5 4 4 6 8 9 10 9 8 8 9 9 8 8 8 10 12 11 8 5 5 6 9 11 10 6 2 -1 -1 1 2 4 7 11 12 10 7 6 5 5 5 6 6 6 7 6 6 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 9 11 12 11 8 5 4 4 6 8 10 10 8 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 3 4 5 7 10 11 11 9 7 5 4 4 4 3 1 -0 -0 0 1 3 5 6 7 7 7 7 6 5 5 4 4 3 4 5 7 11 15 15 13 11 10 9 9 8 7 6 5 4 3 3 2 2 3 4 5 5 5 4 3 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 nan
nan 10 10 10 9 9 8 7 5 4 4 5 6 7 7 6 5 5 4 5 6 7 8 8 9 9 11 11 9 8 7 7 6 6 5 4 4 3 5 7 10 10 10 9 8 8 9 9 9 9 9 10 9 7 5 5 7 9 11 9 5 2 2 3 4 5 6 8 12 13 11 8 6 5 5 6 6 7 7 7 6 6 7 8 9 10 9 8 8 8 8 9 9 8 8 7 6 6 6 7 9 10 11 10 7 5 4 5 8 11 12 11 8 6 6 6 6 6 6 6 5 5 5 5 5 4 4 3 4 5 6 8 10 10 9 7 5 4 4 4 3 2 1 0 0 0 2 4 6 8 8 7 7 6 5 5 5 4 4 3 4 5 7 8 9 9 9 9 8 8 7 6 5 4 3 3 2 2 3 3 4 5 5 5 4 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 nan
nan 8 9 8 7 7 7 6 4 4 5 6 7 8 8 6 4 3 3 4 5 5 6 5 5 7 10 12 10 9 9 8 7 6 5 4 4 3 5 7 8 9 8 7 6 6 7 9 9 8 7 7 7 6 6 6 6 8 10 10 7 5 5 6 6 7 7 9 11 11 10 7 6 6 6 7 7 7 7 7 6 6 7 9 10 11 10 9 8 8 8 9 9 9 8 7 6 5 6 6 7 8 9 10 8 5 4 6 9 12 13 12 10 7 6 6 6 6 6 6 6 6 6 5 4 4 4 3 4 4 6 7 8 9 8 7 5 4 4 4 4 3 2 1 -0 -0 1 4 6 8 8 7 7 6 5 5 5 4 4 3 3 4 4 5 5 6 6 7 7 6 6 5 4 3 3 3 2 2 3 3 4 5 5 5 5 4 4 3 3 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 nan
nan 6 8 7 6 5 4 3 4 5 7 7 6 6 6 5 3 2 2 3 4 5 5 5 5 6 9 11 10 9 9 9 7 6 5 4 4 5 6 6 6 6 5 5 5 5 6 8 9 7 6 5 6 6 6 5 5 7 11 12 10 8 7 6 5 6 7 8 9 8 7 6 6 6 7 7 8 7 7 7 6 7 8 9 10 11 11 10 9 8 8 8 9 10 9 7 6 5 5 5 5 5 7 8 8 6 5 6 9 12 13 12 11 9 6 6 6 5 5 6 6 6 5 5 4 4 4 4 4 4 5 6 7 7 7 6 4 3 4 4 5 4 3 2 -0 -1 1 4 6 7 7 8 7 6 6 5 5 5 4 3 3 2 3 3 3 4 4 4 4 4 4 4 3 3 2 2 2 3 3 4 4 5 5 5 5 4 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 nan
nan 5 6 7 6 5 3 2 3 6 8 8 6 5 4 3 2 2 3 4 4 4 5 6 6 7 8 9 9 8 8 8 6 5 4 4 5 6 6 5 4 4 4 5 5 6 7 8 8 7 6 6 6 7 6 4 4 7 11 13 10 8 6 4 5 6 7 8 7 7 6 6 6 7 7 8 8 7 7 7 7 7 8 9 10 10 10 10 9 9 8 9 9 10 9 8 6 6 5 4 3 4 5 7 8 7 6 6 8 10 11 11 11 10 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 3 4 5 5 5 4 2 -0 -1 1 3 5 6 6 7 7 7 6 6 6 5 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 nan
nan 5 6 6 6 5 4 3 5 8 10 9 7 4 2 2 3 5 5 5 4 4 5 6 8 7 7 8 8 7 7 6 4 3 3 5 6 7 6 5 3 3 3 4 6 7 7 8 8 8 8 8 8 7 6 4 4 7 11 11 8 5 5 5 6 7 8 8 7 7 6 6 7 7 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 10 9 8 7 6 5 4 3 4 5 6 7 7 7 6 7 8 9 10 10 10 9 9 9 8 7 7 6 5 4 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 6 6 6 5 2 0 -0 1 3 4 4 5 5 6 7 7 7 7 6 5 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 3 2 2 2 2 2 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 5 5 5 nan
nan 5 6 7 6 5 4 5 7 9 10 9 7 4 3 3 5 6 6 5 4 4 5 7 8 7 6 7 8 8 7 5 3 3 4 6 7 7 6 4 2 1 1 3 5 7 7 7 7 8 9 9 9 8 6 5 5 6 8 8 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 10 10 10 10 9 9 10 10 8 7 6 4 4 4 4 5 6 6 7 6 6 6 7 8 8 8 8 8 8 8 8 7 7 6 5 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 5 3 1 0 1 2 2 3 3 4 6 8 8 8 8 7 6 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 nan
nan 5 7 7 7 6 5 6 7 8 8 8 7 6 5 5 5 6 6 5 4 4 6 8 8 7 7 8 9 9 8 6 4 3 5 6 7 7 5 3 1 -0 0 2 5 7 7 6 5 6 9 10 10 8 6 4 4 5 5 6 6 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 7 6 5 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 7 7 5 5 6 7 7 6 4 5 6 6 6 7 7 7 7 7 7 7 6 6 6 7 6 6 7 7 6 4 2 1 1 2 2 3 3 4 5 7 8 8 8 8 7 6 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 3 2 1 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 nan
nan 6 7 8 7 6 5 6 6 6 6 7 7 8 8 6 5 6 7 6 5 5 5 7 7 7 8 9 10 9 8 7 5 5 6 7 7 6 5 3 1 0 1 3 6 7 6 3 2 4 8 11 12 9 6 4 3 4 5 5 5 6 6 5 6 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 9 9 10 10 10 9 9 9 8 8 7 6 5 4 4 5 5 6 6 6 6 6 6 7 7 6 6 6 5 4 4 5 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 6 6 7 7 6 7 7 7 6 4 3 2 3 3 4 5 5 5 6 7 8 8 8 7 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 4 5 5 6 6 6 6 5 4 3 2 2 1 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 nan
nan 7 8 8 7 6 5 5 5 5 5 6 8 9 9 8 7 8 9 7 5 4 4 6 7 8 9 9 9 8 7 7 6 7 8 8 8 6 5 3 3 2 3 5 7 8 6 3 2 4 10 14 15 11 7 3 3 6 8 7 4 2 2 3 5 6 8 9 9 9 9 9 8 7 8 8 8 8 8 7 7 7 7 6 6 6 7 8 9 9 10 10 10 9 9 8 8 8 7 6 5 5 5 6 6 6 6 6 6 7 6 6 6 5 5 4 4 4 5 6 7 9 11 11 8 6 6 6 6 6 6 7 8 9 9 8 6 6 7 8 8 8 8 7 6 5 4 4 5 7 7 6 5 6 6 7 8 8 7 5 3 3 4 7 8 8 8 8 7 6 6 6 5 6 7 8 8 6 5 5 6 6 6 6 5 4 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 nan
nan 8 9 9 7 6 5 5 5 5 5 7 8 9 9 9 9 9 9 7 4 3 3 5 7 8 9 9 8 7 6 5 6 8 9 10 9 7 5 5 5 6 6 6 7 7 6 4 4 6 11 16 16 12 7 3 4 7 9 8 5 2 2 3 5 7 8 9 9 9 9 8 7 7 7 8 8 7 7 6 7 7 6 6 5 6 6 7 8 9 9 10 10 10 10 9 9 8 7 7 6 6 5 6 6 6 6 6 7 7 7 6 5 5 5 5 5 5 6 6 6 8 12 12 9 6 5 5 4 4 5 6 7 9 10 9 7 7 8 9 10 9 9 8 8 8 7 7 8 9 9 8 7 6 6 6 7 7 7 6 3 3 5 8 9 9 10 11 11 10 8 7 7 7 8 10 10 9 7 6 6 6 6 5 4 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 nan
nan 10 10 10 9 7 6 5 6 6 6 7 7 6 7 9 10 9 8 6 3 3 4 6 8 9 9 9 8 6 4 4 5 7 11 13 11 8 7 7 9 9 8 6 5 5 5 5 6 8 11 14 14 10 6 3 4 7 8 8 5 4 4 5 6 7 9 9 9 9 8 8 7 7 7 8 7 6 6 6 6 6 6 6 6 6 7 8 8 8 8 9 9 10 11 11 10 8 8 7 7 6 6 6 6 6 6 6 7 7 7 6 5 5 6 6 6 6 6 6 6 7 9 11 10 9 8 6 3 3 5 7 8 10 11 10 9 8 9 10 10 9 8 8 9 9 9 9 10 10 9 8 7 6 5 4 4 4 5 7 6 5 7 9 9 9 10 12 13 12 10 8 7 6 6 8 10 11 10 9 7 7 6 5 4 3 2 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 8 8 9 nan
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nan 9 7 6 5 5 4 3 2 2 4 7 10 13 15 16 16 16 15 15 15 15 16 18 20 20 19 17 16 14 11 8 6 4 4 5 5 7 9 12 14 16 17 14 12 11 10 8 6 6 6 7 8 9 9 9 10 10 10 9 9 9 8 8 8 7 7 7 6 7 8 9 9 9 8 8 7 7 7 8 8 8 8 9 9 9 8 7 6 7 8 8 9 9 10 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 10 10 10 9 9 9 9 9 10 11 11 10 9 9 9 9 9 10 11 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 5 5 5 5 7 8 9 9 9 9 8 8 8 9 9 9 8 9 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 8 7 7 8 8 9 9 nan
nan 7 6 5 5 5 5 4 4 4 6 9 13 15 16 17 16 15 13 11 11 12 14 19 22 21 19 17 17 15 13 9 5 3 4 6 6 8 9 11 13 16 17 16 14 13 12 11 9 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 7 7 6 6 7 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 8 8 9 9 8 8 8 8 8 8 8 7 6 5 5 5 6 8 9 10 9 8 8 8 8 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 10 9 9 9 9 9 9 9 nan
nan 7 6 6 5 5 6 7 8 8 9 11 13 16 16 16 15 13 11 9 9 10 13 19 23 22 19 17 16 15 12 8 4 2 4 7 9 10 10 10 11 14 16 17 15 14 13 12 11 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 5 4 5 8 9 10 9 8 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 8 9 9 9 10 10 10 9 8 8 nan
nan 7 7 7 6 7 8 10 11 11 10 10 11 13 14 14 13 12 10 9 9 10 13 19 23 22 20 17 16 14 10 5 1 0 2 5 10 13 13 12 12 13 16 16 15 14 14 13 13 13 12 10 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 6 6 6 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 8 8 7 6 6 6 6 7 8 8 8 8 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 5 5 6 7 9 10 10 9 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 9 9 9 10 9 9 8 7 7 7 8 9 9 10 10 9 7 6 7 nan
nan 8 8 8 7 7 8 9 11 10 9 8 8 9 9 10 10 11 10 10 11 12 16 20 23 22 20 18 16 13 8 3 -1 -2 -2 2 8 14 17 16 15 14 15 16 15 15 15 15 15 15 14 12 9 8 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 5 4 4 5 5 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 5 6 7 8 9 9 9 8 7 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 8 8 8 9 9 9 9 9 8 7 8 8 9 9 9 9 7 6 6 7 nan
nan 8 8 8 8 6 6 6 9 10 8 7 6 6 5 6 8 9 10 11 13 18 22 24 24 21 19 18 16 11 5 1 -2 -3 -2 2 8 16 20 19 17 15 15 16 17 17 17 17 17 16 16 13 11 9 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 6 6 5 5 5 5 6 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 9 10 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 6 5 5 7 8 8 8 7 7 7 7 7 8 7 7 6 6 7 7 8 8 8 8 8 9 9 8 8 8 7 8 9 9 9 8 8 8 9 9 9 9 8 8 7 7 8 nan
nan 6 6 7 8 6 4 3 6 9 10 10 9 7 6 6 8 9 10 11 14 21 25 26 24 21 18 17 15 9 3 -1 -1 -1 1 6 12 17 20 19 16 15 15 16 18 20 21 19 18 17 16 14 12 11 10 9 8 7 7 7 7 7 7 7 8 8 9 9 8 8 7 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 9 8 7 6 6 6 6 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 8 7 7 6 7 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 5 5 6 7 8 8 8 7 7 7 7 7 8 8 7 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 9 8 8 8 8 nan
nan 8 6 7 9 7 3 1 2 6 11 14 15 14 11 10 11 13 13 13 15 20 24 25 23 20 18 17 14 7 3 1 1 3 7 10 13 15 15 15 14 14 15 17 20 22 23 21 19 17 16 15 14 13 12 11 10 9 8 8 8 8 8 8 8 9 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 9 9 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 6 7 8 8 8 8 8 8 8 8 10 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 nan
nan 13 11 10 10 8 4 1 0 2 6 13 17 19 18 17 18 19 18 18 18 20 23 23 22 19 17 16 12 6 4 3 3 4 6 9 10 9 9 10 12 13 15 17 20 22 23 22 19 17 15 15 15 14 14 13 12 11 10 10 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 7 7 7 7 7 9 10 11 12 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 8 9 9 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 10 10 10 9 9 8 9 10 11 10 10 9 8 7 7 8 8 8 8 8 10 nan
nan 18 16 13 11 9 6 4 1 -0 -0 3 9 14 18 20 22 22 22 22 21 21 21 20 18 17 15 13 9 5 4 3 2 1 1 4 6 7 8 9 11 13 15 17 20 22 22 21 18 16 15 15 15 15 14 13 13 13 12 11 10 9 9 9 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 9 8 8 8 8 9 8 8 9 9 9 9 8 7 7 7 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 9 9 9 9 10 10 10 9 8 8 9 10 11 11 10 8 7 6 8 8 9 8 8 9 10 nan
nan 16 17 15 12 8 5 5 4 1 -3 -6 -4 2 10 16 19 18 19 21 21 20 17 14 13 13 12 10 6 3 3 3 2 0 -0 4 9 12 13 13 13 14 15 17 19 20 20 19 17 15 14 14 14 14 13 13 13 13 12 11 10 9 9 8 8 7 6 6 6 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 10 11 11 10 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 8 9 9 8 9 9 9 9 8 7 7 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 9 10 10 9 8 8 8 9 10 10 10 8 7 7 8 9 9 9 9 9 9 nan
nan 14 14 13 10 7 5 5 5 2 -3 -8 -9 -3 5 11 12 11 14 17 19 18 15 12 11 12 10 7 3 2 3 6 6 5 6 10 14 15 16 15 15 15 15 15 16 17 18 18 16 15 13 12 12 13 12 12 12 12 11 10 9 8 8 7 7 7 6 6 6 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 8 7 7 7 7 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 9 9 8 7 7 7 7 7 8 8 9 8 9 9 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 9 9 nan
nan 14 11 9 7 6 6 6 5 2 -2 -5 -5 1 9 13 13 11 13 17 19 17 14 12 12 11 9 6 3 2 4 8 10 11 12 12 11 11 12 13 14 14 13 13 13 15 16 17 16 14 12 11 11 11 12 12 11 11 10 9 8 7 7 7 7 7 7 6 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 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 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 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 8 8 9 9 9 9 9 9 9 9 8 8 9 10 10 10 9 9 9 9 9 9 9 10 10 10 9 8 9 10 9 8 nan
nan 15 9 5 4 5 8 9 7 4 1 -1 1 7 15 18 18 17 18 19 20 17 14 12 10 9 7 7 6 4 4 6 9 11 11 7 4 3 6 10 12 13 11 10 11 13 15 16 15 13 11 10 10 11 11 11 11 10 8 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 8 8 nan
nan 16 11 8 8 11 14 14 11 6 1 -1 1 7 14 18 19 21 21 21 19 16 13 11 9 7 7 7 7 6 4 3 5 8 7 3 -1 -1 2 7 10 11 10 8 9 11 13 14 14 12 11 10 10 11 12 11 10 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 10 9 10 10 10 9 8 8 8 8 8 8 8 nan
nan 13 12 12 16 19 20 19 14 8 2 -1 0 4 8 13 16 18 19 17 15 15 15 13 10 7 6 7 7 6 4 1 3 5 5 3 0 -1 1 5 8 9 8 7 8 10 11 13 13 12 11 10 10 11 11 11 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 8 7 7 7 8 8 7 7 7 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 9 10 10 10 10 10 10 10 9 8 7 6 6 7 7 8 nan
nan 5 4 7 12 18 21 22 19 14 9 7 6 6 8 11 14 15 14 12 12 14 16 14 11 8 7 6 6 5 4 2 3 4 6 5 4 2 1 3 6 7 6 6 6 8 9 11 13 12 11 10 10 10 11 10 8 7 6 6 6 7 7 7 7 8 8 8 7 7 7 8 9 9 9 9 9 10 9 9 9 8 8 8 8 9 9 10 10 10 9 9 8 8 8 9 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 9 10 10 9 8 7 6 7 8 8 8 9 10 11 10 9 8 7 7 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 9 10 10 10 9 10 10 10 9 8 6 6 7 8 8 8 nan
nan 1 -2 -4 1 9 17 23 25 23 19 18 17 15 14 13 13 12 10 8 10 13 14 14 12 10 7 5 4 4 4 4 5 5 7 8 8 7 4 4 5 5 5 5 5 6 8 10 12 12 11 9 9 9 9 9 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 9 10 9 9 9 8 8 8 9 9 10 10 10 9 8 8 9 9 8 8 7 6 6 6 7 7 8 9 10 10 9 9 8 8 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 10 9 9 8 7 8 9 9 9 10 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 7 8 9 9 9 9 9 10 10 10 9 8 7 7 8 8 8 9 nan
nan 2 -2 -6 -4 3 12 18 22 21 19 21 22 22 20 16 12 8 6 5 7 10 11 12 11 10 7 4 3 3 5 7 6 7 9 11 13 12 8 5 5 5 5 5 5 6 7 9 11 11 10 9 8 8 8 8 7 6 6 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 7 8 9 9 9 8 8 7 8 8 8 9 9 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 9 9 10 nan
nan 1 -1 -4 -3 1 7 10 11 9 8 11 15 18 19 17 13 8 4 4 5 7 9 10 10 9 7 4 3 5 8 9 8 8 10 14 17 16 11 6 5 6 6 6 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 8 8 7 8 9 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 8 7 7 7 9 10 10 10 9 9 9 9 9 10 10 nan
nan -1 -3 -5 -4 -1 3 4 4 1 -0 1 5 9 14 16 16 12 8 6 5 6 8 9 9 9 7 5 5 8 9 9 8 9 12 17 20 18 12 7 6 7 7 8 8 8 9 10 10 9 9 8 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 9 9 9 9 9 8 8 8 9 8 8 8 9 10 9 7 7 8 8 9 9 9 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 9 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 7 8 9 8 7 7 8 9 9 9 9 9 9 9 8 9 9 10 nan
nan 1 -1 -3 -3 -2 1 3 3 1 -1 -1 1 5 10 14 16 16 15 13 10 8 8 9 10 10 9 8 8 8 7 6 5 7 13 19 21 19 13 9 8 8 8 9 8 9 9 9 9 9 8 8 7 7 7 8 8 9 9 10 9 9 9 9 9 8 8 7 6 6 6 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 8 7 7 8 9 9 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 10 nan
nan 4 3 2 2 2 2 4 5 5 5 5 6 10 12 12 12 13 17 18 18 15 13 11 10 11 11 10 9 7 5 2 2 4 13 21 22 19 15 12 11 10 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 10 10 10 10 10 9 9 9 8 7 7 7 7 7 8 7 8 9 9 9 9 9 9 8 8 8 8 7 8 9 9 10 9 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 7 7 6 6 7 7 7 7 8 8 9 8 8 8 9 9 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 10 nan
nan 2 1 2 4 5 6 6 7 9 11 14 16 17 15 11 7 8 14 19 22 22 20 15 12 11 10 9 8 7 4 1 -0 3 12 21 23 20 17 15 13 12 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 8 9 9 9 9 8 9 9 10 10 10 9 9 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 9 9 8 8 8 9 9 9 8 8 8 7 7 8 8 8 8 9 9 9 9 9 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 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 9 9 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1758 1443 910 376 88 32 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 12 52 91 73 36 22 43 54 51 42 37 40 49 62 100 237 467 671 784 853 926 1017 1150 1339 1614 1942 2137 2145 2061 1966 1873 1773 1703 1678 1606 1491 1356 1240 1199 1210 1139 922 715 581 396 217 138 130 138 120 95 78 87 81 77 81 71 63 56 52 48 41 33 28 29 32 31 25 19 14 11 11 15 23 25 26 30 41 52 55 55 52 45 43 43 39 33 32 31 32 34 33 33 39 43 45 50 55 58 53 50 53 66 88 106 110 102 89 81 77 74 75 80 79 90 82 80 68 59 57 55 47 40 38 41 45 49 56 60 61 61 60 58 57 57 55 53 49 44
1502 840 437 244 100 30 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 47 80 76 49 27 29 42 39 29 24 30 39 53 75 135 291 512 686 773 825 895 999 1141 1294 1514 1762 1883 1853 1787 1787 1819 1781 1694 1636 1545 1448 1290 1151 1030 887 864 915 662 430 272 168 129 135 160 141 117 110 112 100 87 83 80 70 61 55 50 45 38 33 36 39 37 24 21 15 11 11 19 25 27 29 36 49 62 66 68 69 62 53 44 34 27 25 25 24 25 26 27 33 41 45 50 53 57 55 54 60 78 97 106 104 94 83 76 77 74 75 82 83 92 88 79 67 59 56 52 41 33 32 40 44 39 41 44 47 49 50 51 53 55 54 50 43 37
1103 802 574 347 171 64 18 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 0 0 0 0 0 0 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 25 57 69 52 28 24 33 36 25 16 18 28 41 57 85 159 321 532 694 772 823 902 1015 1135 1233 1416 1653 1723 1640 1631 1698 1776 1766 1676 1590 1460 1322 1139 992 847 733 843 878 617 340 194 143 132 146 168 156 127 124 126 111 97 91 89 81 71 61 55 51 45 41 49 48 39 26 24 19 13 15 22 28 31 35 44 55 63 66 70 72 68 56 45 34 29 26 23 21 22 24 27 34 45 51 53 55 59 58 61 72 83 85 83 80 78 76 71 73 73 75 81 81 84 81 68 57 51 49 43 34 29 22 24 30 28 31 31 30 32 35 38 41 43 43 43 39 34
1006 890 704 479 274 126 44 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 29 42 38 22 13 21 31 28 14 9 18 28 40 58 89 161 323 536 705 798 872 965 1068 1118 1166 1395 1693 1689 1545 1558 1650 1737 1730 1625 1491 1320 1163 1007 892 876 915 996 889 600 343 203 148 144 164 174 159 130 119 124 127 110 102 99 89 76 66 61 59 56 53 55 51 43 35 31 25 19 20 25 29 33 38 46 55 62 64 69 70 67 54 46 36 30 25 21 21 25 30 35 40 49 54 53 53 57 61 66 73 75 67 61 61 64 67 70 72 74 75 76 73 68 63 54 44 39 34 29 26 24 19 19 20 22 24 20 18 18 20 24 27 30 33 31 30 29
1123 1081 870 625 375 185 64 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 22 22 15 7 10 21 27 21 9 6 17 25 39 57 88 146 298 526 726 859 973 1082 1167 1173 1285 1573 1838 1760 1606 1615 1657 1686 1664 1550 1364 1157 1008 944 967 1122 1180 1091 884 589 360 236 167 148 177 196 181 152 127 125 137 125 112 109 101 86 74 69 68 65 61 59 55 47 41 35 26 18 18 21 24 28 35 42 51 60 63 68 63 62 55 50 43 35 28 24 26 32 38 43 45 47 50 48 48 55 57 59 58 54 49 46 47 53 60 68 72 69 69 66 60 54 45 33 28 26 21 17 18 20 20 20 22 19 18 14 13 13 13 15 18 21 23 23 22 22
1287 1210 1024 758 417 194 62 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 11 6 2 4 13 24 25 17 2 4 14 22 36 52 80 123 261 507 755 945 1099 1224 1318 1360 1546 1750 1866 1828 1743 1740 1710 1657 1595 1468 1265 1066 955 959 1050 1145 1079 844 630 441 287 209 175 173 213 245 217 180 141 128 147 149 133 127 119 108 98 90 82 72 65 61 56 49 39 26 18 15 15 15 15 20 29 37 46 58 63 65 64 63 58 54 52 45 36 33 37 40 41 40 38 36 37 36 40 43 44 41 37 36 36 36 39 45 52 59 64 55 52 47 39 34 26 17 17 19 19 17 17 16 16 16 18 16 14 11 11 12 10 10 11 13 15 17 19 18
1509 1298 1091 834 391 177 50 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 7 6 4 11 21 16 5 4 2 13 19 32 44 71 108 222 469 758 1002 1186 1327 1441 1520 1615 1660 1722 1786 1819 1819 1752 1654 1540 1387 1202 1036 936 907 929 853 719 509 389 279 205 188 201 210 228 260 259 221 167 131 131 135 134 133 130 122 112 103 93 82 71 63 57 47 31 16 12 12 14 13 11 15 25 32 40 53 61 64 72 73 68 61 58 56 51 48 50 51 49 41 35 30 27 22 23 29 32 28 23 22 25 29 33 37 40 40 41 32 26 25 21 17 12 10 12 12 13 13 14 12 12 13 14 15 15 12 10 8 7 7 8 10 12 12 13 10
1367 1165 929 696 341 113 22 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 0 0 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 6 10 10 8 6 2 3 18 29 17 3 6 14 18 28 37 57 93 185 398 692 968 1178 1335 1439 1456 1435 1418 1475 1611 1716 1744 1733 1651 1508 1350 1191 1030 898 813 796 645 509 369 303 241 219 249 281 283 286 320 346 311 226 171 151 146 142 138 137 132 122 113 103 92 81 70 60 46 25 15 12 13 14 13 12 15 22 30 36 46 56 65 76 88 90 82 68 63 63 61 60 62 59 45 35 29 25 20 16 18 21 18 12 10 13 18 23 26 29 23 20 17 14 15 16 15 13 11 9 9 11 14 14 12 10 10 11 12 13 12 9 6 5 6 7 14 17 16 14 12
1269 823 512 281 115 26 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 3 5 6 3 0 5 15 21 16 14 14 21 32 30 12 5 13 13 16 25 33 45 75 149 312 578 869 1104 1266 1342 1306 1226 1184 1236 1420 1588 1673 1721 1659 1527 1398 1286 1143 940 789 735 625 551 454 402 356 352 402 429 413 417 463 483 425 346 289 223 189 177 163 154 145 135 127 115 100 91 79 66 51 27 19 17 15 14 13 13 15 20 27 34 41 50 64 82 98 117 126 103 78 70 69 69 71 68 56 41 30 24 19 14 13 12 9 4 1 2 9 14 20 20 16 14 13 14 14 15 15 12 8 5 9 9 12 17 15 12 12 14 13 12 12 11 8 7 8 8 10 16 17 17 17
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