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 9 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 6 5 6 7 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 9 12 15 17 17 16 14 11 9 7 5 2 -0 -1 0 2 4 6 6 7 8 9 10 11 12 12 12 10 8 6 6 6 7 8 9 10 9 8 7 7 7 7 8 9 10 11 11 10 9 8 7 6 6 5 6 6 6 7 7 7 6 6 6 6 7 9 11 13 13 11 7 4 3 4 4 4 4 5 5 6 6 6 6 6 6 7 7 8 8 7 7 6 5 4 4 nan
nan 10 10 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 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 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 11 14 16 17 17 16 14 12 11 9 6 2 -1 -0 1 4 6 6 7 8 9 10 11 11 12 13 12 10 8 6 5 5 6 8 9 9 8 7 6 6 6 6 7 7 8 8 8 7 7 6 6 5 5 4 4 4 5 6 7 6 6 6 6 6 7 9 11 12 11 8 5 3 3 4 4 5 5 5 6 6 6 5 5 5 6 6 7 7 7 7 7 6 5 3 3 nan
nan 11 10 9 9 9 8 8 7 7 7 6 6 6 6 7 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 9 8 8 8 9 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 12 16 16 16 16 16 17 17 14 11 6 2 0 1 3 5 6 7 8 9 10 11 12 12 13 13 11 9 7 5 5 5 6 7 8 9 8 7 6 5 5 5 6 6 6 5 5 5 6 6 6 5 5 5 5 6 6 7 7 6 6 6 6 6 6 8 9 9 7 5 3 3 4 4 5 5 6 6 6 6 5 4 4 4 5 6 7 7 7 7 7 7 5 4 3 nan
nan 10 9 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 8 9 10 11 10 9 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 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 7 8 9 10 11 11 10 10 9 8 8 7 7 7 7 7 6 6 6 7 8 9 12 15 15 15 16 19 21 21 17 11 6 2 1 2 4 5 6 7 9 10 11 12 12 13 13 12 10 8 6 5 4 5 6 7 8 8 8 8 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 9 9 8 7 7 7 7 6 5 5 6 5 4 3 3 3 4 4 5 5 6 7 7 7 5 4 3 2 2 3 5 7 8 8 7 7 7 6 5 4 nan
nan 8 8 7 7 8 8 8 7 7 7 7 6 7 7 8 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 7 8 9 10 10 9 8 7 7 7 7 6 7 7 7 7 7 6 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 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 7 7 7 7 6 6 6 6 7 9 11 12 13 13 14 16 19 20 19 14 8 4 1 1 2 4 5 6 8 10 11 12 12 12 13 12 11 9 7 6 5 4 5 5 6 7 8 8 8 7 7 6 6 5 5 5 4 5 5 5 6 7 7 8 10 11 12 10 8 7 7 7 8 7 6 5 4 2 2 2 3 4 4 4 4 6 7 8 8 7 5 4 3 2 1 2 4 6 7 8 7 7 7 6 5 5 nan
nan 7 7 7 7 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 8 8 8 9 10 10 10 9 9 8 8 7 7 8 8 8 8 7 7 7 7 7 7 6 6 7 6 6 6 6 6 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 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 7 7 7 6 6 6 6 6 7 8 11 13 13 12 13 14 14 14 13 11 8 4 2 1 1 3 4 5 7 8 10 12 12 12 12 12 11 9 7 6 6 5 5 5 5 6 6 7 7 7 8 8 7 7 6 5 5 5 4 5 5 6 7 8 9 11 13 13 10 8 7 7 8 9 10 9 7 4 1 1 2 4 4 4 4 4 5 7 8 8 7 6 5 5 3 2 1 2 5 7 8 8 8 7 6 5 5 nan
nan 7 7 7 7 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 9 9 9 9 8 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 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 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 6 6 6 6 7 7 7 9 12 14 13 13 13 15 13 9 6 5 3 2 1 1 2 4 5 6 7 9 10 11 12 13 13 12 10 8 6 6 6 6 6 5 5 5 6 6 6 7 7 7 8 7 7 6 5 5 4 4 5 6 7 8 10 12 12 11 9 7 7 8 10 11 11 10 8 5 2 2 3 4 5 4 4 4 5 6 8 9 8 7 7 8 7 4 1 1 4 7 9 9 8 7 5 5 5 nan
nan 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 7 6 6 6 6 6 6 6 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 8 8 8 9 9 8 8 8 8 9 9 9 9 9 8 8 8 7 7 6 6 6 7 7 7 8 9 12 14 14 14 15 15 12 7 4 3 2 2 2 3 4 6 7 8 8 8 9 10 10 12 13 13 11 8 6 6 6 7 6 6 5 5 6 6 6 6 6 7 7 7 7 6 5 5 4 5 5 6 7 8 10 11 11 9 7 7 8 10 11 12 12 10 8 5 3 3 4 4 5 5 5 5 5 6 8 9 10 10 10 11 11 7 2 2 4 8 10 10 9 7 5 5 6 nan
nan 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 6 6 6 6 6 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 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 7 7 8 9 11 14 15 16 16 16 13 8 4 3 3 3 4 5 6 8 9 8 8 8 8 8 9 10 13 14 13 10 8 6 6 6 6 6 6 6 6 7 7 7 7 6 7 7 6 6 5 5 4 5 5 5 6 7 9 9 8 7 6 7 9 11 12 12 10 8 5 4 4 4 4 4 5 6 7 7 6 6 7 9 10 11 11 13 13 9 4 3 5 8 11 11 11 8 6 5 6 nan
nan 8 7 6 6 6 6 7 8 8 8 8 8 7 7 7 8 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 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 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 7 7 8 9 11 13 16 17 17 15 12 8 5 3 3 3 4 6 8 9 10 9 7 7 6 6 7 9 12 15 15 13 9 7 6 6 7 7 7 7 7 8 8 7 7 7 7 7 6 5 5 4 4 5 5 5 5 6 7 7 6 5 6 7 9 11 11 10 7 5 3 4 5 5 4 4 5 7 8 8 7 7 7 8 8 8 9 12 12 9 4 3 5 8 11 12 12 9 7 5 7 nan
nan 7 7 6 6 6 7 8 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 12 15 17 15 12 9 5 3 3 3 4 5 7 9 10 10 9 7 5 5 5 6 8 11 15 17 15 11 9 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 5 4 4 5 5 5 5 5 6 6 6 5 5 6 8 8 8 6 4 4 4 6 7 6 5 4 5 7 9 9 9 9 9 8 6 6 8 10 10 8 5 3 4 7 9 11 11 10 7 6 7 nan
nan 8 7 6 7 7 8 9 10 10 10 10 10 10 9 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 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 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 8 7 7 8 10 12 12 11 11 13 14 13 9 6 5 3 3 3 4 6 9 10 11 11 8 5 4 4 5 6 8 10 13 16 15 12 9 8 7 7 7 8 9 9 9 8 8 8 8 8 8 7 6 5 4 4 4 5 5 5 6 7 8 8 7 6 6 6 6 5 4 4 6 7 8 8 7 6 6 6 7 8 10 10 11 10 8 6 6 7 9 8 6 4 3 3 5 7 8 9 8 7 6 6 nan
nan 8 8 7 7 7 9 10 10 11 10 10 10 10 9 9 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 6 6 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 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 9 13 15 16 15 13 12 12 11 8 7 6 4 3 2 4 8 11 12 12 10 7 4 3 4 7 8 8 9 11 13 13 12 9 7 6 6 7 8 9 10 9 8 8 8 8 8 8 7 6 5 4 4 5 5 6 7 8 10 11 10 9 7 6 6 5 5 5 7 8 10 10 10 9 9 8 8 8 8 9 10 10 9 8 7 7 7 8 7 5 3 2 2 2 3 4 5 6 6 6 6 nan
nan 8 8 8 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 12 12 12 11 11 10 10 10 9 8 8 7 7 7 8 9 11 15 18 19 19 17 15 13 11 8 7 5 3 0 1 5 10 13 13 10 8 5 4 4 6 8 9 8 8 9 11 11 10 8 6 5 6 8 10 10 10 9 9 8 8 8 8 7 6 6 5 5 5 6 6 7 8 10 11 12 11 9 8 8 8 7 7 8 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 7 6 4 3 2 1 1 1 2 4 6 7 7 nan
nan 8 8 8 8 8 9 9 10 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 10 11 11 12 13 13 13 13 13 13 12 11 10 10 10 9 8 8 8 9 10 11 11 12 14 17 19 20 19 18 14 11 8 5 2 -1 -1 3 9 13 13 11 7 5 5 5 7 9 10 9 8 8 8 9 9 8 7 6 6 8 10 11 11 11 10 9 8 8 8 8 7 7 6 6 7 7 7 7 8 9 10 10 10 9 8 8 9 10 10 10 11 12 12 12 12 11 11 11 11 10 9 9 8 7 7 8 9 10 11 11 10 9 7 6 4 3 1 0 -0 1 3 6 7 8 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 9 9 10 11 12 13 14 15 15 15 14 14 13 12 11 10 9 9 9 9 9 9 10 11 11 10 10 12 15 16 17 18 18 16 13 10 5 3 2 5 10 13 13 10 7 4 4 5 7 9 10 10 8 7 7 7 8 8 8 7 7 9 11 13 13 12 12 11 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 6 7 8 9 10 11 11 11 12 12 12 12 11 11 11 11 10 9 8 7 7 8 9 10 11 11 12 11 10 9 7 6 4 2 -1 -2 -0 3 6 8 9 nan
nan 8 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 13 15 17 17 17 16 15 14 13 11 9 9 9 9 9 9 9 10 10 10 9 8 8 9 11 12 13 13 14 14 13 11 9 9 10 14 16 14 10 6 3 2 4 6 7 8 9 8 7 7 6 7 8 9 9 9 10 12 13 14 13 13 12 11 9 8 7 6 7 7 8 10 11 11 11 10 10 10 9 8 7 6 6 6 7 8 9 10 10 10 11 11 11 11 11 12 12 12 11 9 7 7 7 8 9 10 10 10 10 9 8 8 7 6 4 1 -2 -3 -1 2 5 8 9 nan
nan 9 9 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 10 9 9 9 9 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 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 13 15 17 18 17 16 15 14 13 12 10 8 7 8 10 11 11 11 11 10 9 9 9 9 9 10 10 10 9 8 7 7 8 11 13 15 16 14 10 5 3 2 2 4 5 6 7 7 8 7 7 7 8 9 10 11 11 12 13 14 13 13 12 11 10 9 8 7 6 6 7 8 10 12 13 12 11 11 10 10 9 8 8 7 7 7 8 9 9 9 9 9 9 10 10 11 12 13 12 10 8 7 7 7 8 8 8 8 8 7 6 6 6 6 5 4 2 -1 -2 -0 3 6 8 9 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 11 12 14 16 17 16 15 14 13 13 12 10 9 7 7 8 12 15 15 14 13 11 11 12 14 14 13 11 11 11 9 5 2 2 4 7 9 11 10 8 5 3 2 3 3 4 4 4 6 7 8 8 8 8 8 9 11 12 13 13 13 12 12 11 11 11 10 9 7 6 6 5 5 6 9 11 13 13 12 12 11 11 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 8 8 9 8 8 7 5 5 5 5 5 5 5 4 2 1 2 5 8 9 10 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 13 16 17 17 16 14 13 12 11 10 10 10 10 10 11 15 19 19 17 15 14 15 18 19 18 16 15 15 16 14 10 6 4 3 2 2 3 4 5 5 4 4 5 4 4 3 4 5 7 8 8 8 9 10 11 12 13 13 13 12 11 10 10 10 11 10 9 7 6 5 4 3 3 6 9 12 13 13 12 11 11 10 10 11 11 10 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 8 7 6 6 6 6 6 7 7 7 6 5 5 7 9 10 11 nan
nan 9 8 8 8 9 9 9 9 10 10 10 10 11 11 12 12 12 13 12 12 12 12 12 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 13 16 18 19 19 17 15 13 11 11 12 15 17 16 15 15 17 21 22 20 19 19 21 22 21 19 17 16 17 20 21 19 16 10 4 0 -1 1 3 5 6 6 6 6 6 4 4 4 6 7 8 8 8 9 11 13 14 15 15 13 12 11 10 10 11 12 12 10 8 6 5 3 1 1 3 7 11 13 13 12 11 10 10 11 12 12 11 9 7 6 6 7 9 10 11 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 7 7 8 8 9 9 9 7 7 7 8 10 11 nan
nan 8 8 8 8 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 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 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 13 17 20 21 21 19 16 14 12 12 14 18 23 23 19 15 13 14 17 21 23 23 24 23 22 20 17 15 15 17 20 23 23 18 11 5 1 0 2 4 6 6 7 8 8 8 7 6 6 7 7 8 8 9 11 12 14 16 17 16 14 11 10 10 10 11 12 12 12 10 8 7 5 3 1 2 5 9 12 13 13 12 10 10 11 12 11 9 6 4 3 3 4 6 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 9 8 7 6 7 9 10 nan
nan 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 9 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 8 7 7 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 8 10 15 21 24 22 18 15 12 10 9 11 16 22 24 21 15 10 7 8 11 15 20 21 21 19 16 14 12 11 11 12 15 18 17 13 8 4 2 2 2 3 3 6 8 11 11 11 9 8 8 7 7 7 9 10 12 14 15 17 18 17 14 12 11 10 9 9 10 11 11 12 11 10 9 6 4 3 4 8 11 14 15 14 12 10 10 10 8 6 3 2 1 2 3 4 6 7 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 8 7 6 6 8 10 nan
nan 8 8 9 9 9 9 10 10 10 11 11 11 12 12 12 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 11 16 22 23 19 13 8 6 5 7 11 16 19 19 16 12 8 6 6 8 11 14 15 14 11 9 8 7 7 6 8 10 12 11 8 5 3 2 1 1 1 2 7 12 16 15 12 9 7 6 6 6 6 8 11 13 15 16 17 18 17 14 13 12 10 9 7 7 8 9 10 12 12 11 10 8 6 5 7 10 13 15 14 11 8 7 7 5 4 2 2 3 3 4 5 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 7 6 6 8 10 nan
nan 8 8 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 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 9 11 15 18 18 14 9 5 4 5 9 13 17 18 16 13 10 8 8 8 9 11 12 12 11 9 8 7 7 6 6 6 7 8 8 7 6 4 2 1 1 2 4 9 15 19 17 12 7 3 2 2 3 5 7 11 15 19 20 19 18 16 15 14 13 12 10 7 6 6 6 8 10 11 12 12 11 9 8 8 9 12 13 12 8 4 3 4 5 4 4 5 6 6 7 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 10 10 10 9 7 6 7 8 9 nan
nan 8 8 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 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 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 12 14 14 11 9 7 8 10 13 15 16 15 13 10 7 6 6 7 7 8 8 9 10 11 11 11 10 8 7 6 6 7 7 7 6 5 4 3 4 5 7 10 14 18 17 12 5 0 -2 -2 -1 2 6 11 18 24 27 25 20 17 16 15 14 14 12 10 9 7 7 7 9 11 12 12 11 9 7 6 6 8 9 8 5 2 2 4 5 6 7 8 9 9 10 10 10 10 10 9 9 9 8 7 7 7 7 8 8 9 8 8 8 7 8 8 9 9 9 10 10 11 11 10 8 6 6 7 7 nan
nan 8 8 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 9 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 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 12 13 13 13 13 15 16 15 13 10 8 6 4 2 0 0 1 1 0 2 5 8 11 12 13 12 10 9 8 7 7 7 7 6 6 5 5 6 8 8 9 12 15 17 13 6 -1 -5 -6 -4 -1 4 11 20 29 33 31 24 18 15 14 14 14 15 14 13 11 10 9 11 13 13 10 8 5 3 2 2 3 4 4 2 1 2 5 7 9 10 11 12 12 13 13 13 12 12 11 11 10 10 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 10 11 11 10 9 8 7 6 6 6 nan
nan 8 8 9 9 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 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 9 8 8 8 8 8 8 8 8 8 8 8 9 8 9 9 11 13 13 13 14 16 17 18 18 18 17 13 8 4 0 -2 -4 -5 -6 -5 -3 -1 -1 -1 1 4 8 11 12 13 12 11 10 9 8 8 7 6 6 6 6 7 10 11 12 13 15 17 15 8 0 -5 -6 -5 -2 3 10 20 29 34 31 24 18 14 13 13 14 15 16 14 13 12 12 13 14 14 11 6 3 1 -1 -1 -0 0 0 0 1 4 6 9 12 14 14 14 14 14 13 13 13 13 13 12 11 11 10 10 9 8 8 8 7 7 7 8 8 9 8 8 8 9 10 10 10 9 7 7 7 7 7 7 nan
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nan 9 8 8 8 8 9 9 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 11 11 11 12 12 12 12 14 17 22 25 24 20 15 10 8 8 9 10 12 14 16 18 19 19 18 18 17 15 12 10 8 8 8 9 12 16 20 20 17 13 8 5 4 5 7 7 6 5 4 3 4 5 6 6 6 6 5 4 4 5 6 6 6 5 4 4 4 5 7 8 10 11 13 14 14 13 11 8 6 5 4 4 6 6 6 6 6 5 6 7 9 10 11 10 10 10 10 10 10 9 9 9 10 10 11 10 10 9 8 8 8 9 10 10 11 11 12 12 13 14 14 14 15 15 15 15 15 14 11 9 7 5 3 3 4 6 9 12 14 16 17 17 17 15 13 11 9 7 7 7 8 9 11 12 12 11 9 7 7 8 7 5 3 2 3 5 6 nan
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nan 6 7 7 7 8 9 9 9 8 7 6 6 6 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 12 12 13 17 22 25 27 23 16 11 8 7 7 9 11 14 16 17 17 16 16 15 14 13 13 13 13 13 13 13 15 17 18 17 13 9 6 3 4 7 8 8 6 5 4 5 5 7 9 9 10 8 7 6 6 7 8 8 7 6 4 4 4 4 5 7 10 12 14 15 15 14 12 10 8 7 7 8 8 8 8 7 7 7 8 9 9 10 10 9 8 7 7 7 7 8 8 9 9 10 10 11 11 11 10 9 8 9 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 10 8 7 7 8 9 11 13 14 14 15 16 16 16 14 12 10 9 7 7 7 7 8 10 11 12 11 10 9 11 13 13 9 5 2 1 2 4 6 nan
nan 6 6 7 7 8 10 10 9 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 12 12 12 12 12 12 12 13 16 21 24 24 22 16 11 8 6 6 8 10 13 15 16 16 16 15 15 14 14 14 13 13 11 10 10 11 14 15 14 11 7 4 3 3 6 8 8 7 6 6 7 8 9 9 10 9 9 8 7 8 9 10 11 10 8 6 5 4 4 5 7 9 11 13 14 14 13 11 10 8 6 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 11 11 10 10 9 9 9 9 9 10 9 9 9 9 9 9 11 12 13 13 12 11 9 9 8 8 8 10 11 13 13 12 12 12 12 13 13 12 11 9 8 8 7 7 8 9 10 11 11 10 10 10 12 13 12 8 5 1 0 1 4 6 nan
nan 5 6 7 7 9 10 10 9 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 12 12 12 12 12 12 13 14 16 19 22 22 20 16 11 7 5 5 7 10 13 15 16 17 17 17 17 16 15 14 12 9 8 6 6 8 11 13 12 9 6 4 4 6 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 10 11 12 12 12 10 8 6 6 6 6 7 8 9 11 12 12 12 11 9 8 6 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 8 6 6 7 7 8 9 9 10 10 10 10 10 9 9 8 9 9 9 9 9 9 8 8 9 10 12 13 14 13 12 10 9 8 9 9 11 12 13 12 11 10 9 9 9 10 10 10 9 9 8 8 8 8 9 9 9 9 9 10 12 13 13 10 7 3 0 -0 2 4 6 nan
nan 5 6 6 7 9 10 10 8 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 12 12 13 13 13 13 13 13 14 16 20 23 24 21 16 10 6 5 5 6 9 13 16 19 20 20 19 18 17 15 13 10 7 5 4 4 5 8 10 11 10 9 8 8 10 11 10 11 12 13 13 12 9 7 7 7 7 7 8 9 11 11 12 12 11 10 9 9 9 9 9 8 8 8 9 10 11 12 11 9 8 7 7 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 8 6 5 6 7 9 9 10 10 10 10 10 10 9 9 8 9 9 10 10 10 9 8 8 8 9 11 12 14 14 14 12 11 10 10 10 11 12 12 12 11 10 9 9 9 10 10 10 10 9 9 9 9 9 8 8 7 7 7 9 12 13 12 8 5 2 0 1 3 5 6 nan
nan 5 5 5 6 8 9 9 8 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 12 12 13 13 13 13 13 13 14 17 21 25 26 23 17 11 6 4 4 6 8 13 18 21 22 21 20 18 16 14 12 10 8 5 4 3 3 5 8 11 12 12 12 12 13 13 14 14 15 15 15 12 9 7 7 7 7 8 9 10 10 10 9 9 10 10 11 11 12 11 11 10 10 9 10 11 11 12 12 10 8 8 7 7 7 6 7 7 7 8 8 8 8 8 9 10 11 11 8 6 5 6 7 9 9 10 10 10 10 10 10 9 9 8 9 9 10 10 10 9 8 7 7 7 8 10 12 14 14 13 12 11 10 11 11 12 12 11 10 9 9 9 10 11 11 11 10 10 9 9 9 9 8 7 6 6 7 10 13 13 11 8 5 2 2 3 5 6 7 nan
nan 5 5 5 5 6 8 8 7 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 12 13 13 13 13 13 14 14 14 16 21 25 27 25 19 12 7 4 4 5 8 12 17 21 22 21 19 16 14 13 12 10 9 7 5 3 3 5 8 11 13 14 14 14 15 16 16 17 17 16 14 12 10 10 10 10 10 9 9 9 9 8 7 8 9 11 12 12 12 11 10 10 9 10 11 12 12 12 12 11 9 9 8 7 6 6 6 7 7 8 9 9 9 9 10 11 12 11 9 8 7 7 8 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 8 7 6 6 6 7 9 11 12 12 11 11 10 11 12 12 12 10 9 8 8 9 10 11 11 11 10 9 9 8 8 8 7 7 6 7 9 12 13 11 10 8 6 4 5 5 6 7 7 nan
nan 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 6 6 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 13 13 13 13 13 14 14 15 16 20 25 27 26 21 13 8 5 5 6 9 13 17 21 22 21 18 15 13 12 11 11 9 8 6 4 4 6 8 10 12 13 14 14 15 17 17 17 16 14 12 10 9 11 12 12 11 10 9 8 7 7 7 8 10 12 12 10 8 6 5 5 6 8 9 11 12 12 12 11 10 10 10 8 7 6 6 7 8 8 9 10 10 10 11 12 12 11 10 10 10 10 9 8 8 8 9 9 9 10 10 9 9 8 9 9 10 10 10 9 9 8 7 6 6 6 7 9 9 9 9 9 10 12 14 13 12 11 9 8 8 9 10 11 10 9 8 7 6 6 6 6 5 5 5 7 10 12 12 10 8 7 6 6 6 7 7 7 7 nan
nan 6 5 5 4 4 4 5 5 5 6 6 6 5 5 5 5 6 6 6 7 8 8 8 8 8 8 9 9 9 9 9 10 10 12 12 13 13 13 13 14 14 15 15 17 20 25 27 25 21 13 8 6 6 7 10 14 17 20 22 22 20 17 15 13 12 11 9 7 6 5 5 7 9 11 12 12 13 14 15 17 18 17 15 12 10 8 9 10 12 13 12 10 8 6 6 7 9 12 14 15 12 7 3 1 1 2 3 5 7 9 11 11 11 10 10 11 11 10 8 7 6 7 8 9 10 10 11 11 11 11 11 11 12 12 13 12 11 9 8 8 7 7 7 7 7 7 7 8 8 9 10 11 11 11 10 9 8 7 7 7 8 9 9 8 8 8 10 13 14 14 13 12 10 10 11 12 13 12 10 8 7 5 4 3 3 4 4 3 4 5 8 11 10 9 7 6 7 7 7 8 7 7 7 nan
nan 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 8 9 9 9 9 9 9 10 10 11 12 13 12 12 13 14 14 15 15 17 20 24 26 25 19 13 8 6 5 7 9 13 17 20 22 23 22 21 18 16 13 10 7 5 4 4 6 9 10 11 12 12 13 14 15 16 17 17 16 14 12 11 11 11 12 12 12 10 7 5 5 8 12 16 20 19 13 5 -1 -3 -2 1 4 6 8 10 11 11 10 9 10 11 10 9 8 7 7 7 8 9 10 11 12 12 11 10 10 11 13 14 15 14 12 10 8 7 6 6 6 5 5 5 5 6 7 8 9 10 11 11 10 10 9 9 9 9 10 10 10 8 6 6 8 11 12 12 11 11 11 12 14 16 17 15 13 9 6 4 2 2 3 4 5 4 4 6 7 8 8 7 7 6 7 7 8 8 8 7 7 nan
nan 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 13 14 14 15 15 17 20 23 26 25 19 13 8 6 5 6 8 11 16 20 22 23 24 24 22 18 14 10 7 5 4 5 7 9 11 13 13 14 14 14 14 15 15 15 15 15 15 14 14 14 14 14 13 11 8 6 7 11 15 20 24 21 12 2 -4 -6 -3 3 8 12 14 14 13 11 9 8 9 10 9 9 8 8 8 8 8 9 10 12 13 12 11 10 10 12 13 15 15 14 11 9 7 6 6 6 6 6 5 5 5 6 7 8 9 10 10 10 10 10 10 10 10 11 12 12 11 8 5 3 4 7 9 9 10 10 11 13 16 17 18 17 15 11 7 4 2 3 4 6 7 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 6 6 6 6 6 6 5 5 4 3 3 3 3 4 5 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 10 11 12 12 12 12 13 13 14 15 15 17 20 24 26 26 21 14 9 7 6 6 8 11 16 20 22 24 25 26 24 21 17 13 10 9 7 7 8 9 11 12 13 14 14 13 12 12 12 11 11 12 13 15 16 16 16 16 15 13 11 11 12 15 19 22 24 19 8 -1 -6 -8 -4 4 12 18 21 19 16 13 10 8 8 8 8 8 9 9 10 10 10 10 11 13 13 13 11 10 10 11 12 13 14 12 9 7 6 5 6 7 7 8 8 8 7 6 6 8 9 10 10 9 9 9 9 9 10 11 13 14 12 9 5 1 1 3 6 9 10 11 12 13 14 15 15 15 13 10 7 5 4 4 5 7 9 10 10 9 9 8 8 7 7 6 6 6 6 7 7 8 7 nan
nan 7 7 7 7 7 7 7 6 5 4 3 2 2 3 4 4 5 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 10 11 11 12 12 13 13 14 14 15 17 19 24 27 27 24 16 11 8 7 7 8 10 15 19 22 24 25 25 25 23 21 19 17 15 13 11 8 7 8 9 11 11 11 11 10 10 9 9 8 9 10 12 13 14 14 14 13 12 13 16 18 20 21 22 20 15 6 -2 -5 -6 -3 6 16 22 24 22 18 14 11 9 8 8 8 8 8 9 10 10 11 11 12 13 13 12 11 10 9 10 10 11 11 10 8 7 6 6 6 7 8 10 12 11 10 8 7 7 9 10 10 10 10 10 9 8 8 10 12 14 14 12 7 2 0 2 5 8 10 11 11 11 11 11 11 11 11 9 7 6 5 5 6 7 8 9 9 9 9 9 8 7 6 6 5 5 6 7 7 8 8 nan
nan 7 7 7 7 8 8 8 7 6 4 3 2 2 2 3 4 5 5 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 10 10 11 11 11 12 13 13 13 14 16 19 24 28 29 26 20 13 10 8 7 7 9 13 16 19 21 21 21 21 21 22 20 19 17 15 12 8 6 6 7 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 8 7 8 11 16 20 22 23 21 17 11 6 1 -1 -0 2 9 17 22 23 22 18 15 13 12 10 9 8 7 7 8 9 10 11 11 12 12 12 11 10 9 9 9 9 9 9 9 8 8 7 7 7 7 8 11 13 14 12 10 7 6 7 8 9 10 11 11 10 8 8 10 12 15 16 14 10 6 3 3 5 7 9 10 10 9 9 9 9 9 9 9 8 7 7 6 6 6 7 7 8 9 9 8 8 7 6 6 5 5 6 6 7 7 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
CAPE
57 70 76 74 67 57 48 42 39 39 38 40 44 49 53 52 46 37 29 25 24 26 30 29 25 19 18 20 23 20 15 13 15 17 20 26 27 27 25 23 21 20 18 18 20 17 16 22 32 43 59 82 110 128 131 128 122 113 110 81 81 76 67 60 53 39 24 26 27 20 13 9 7 6 6 6 6 6 6 6 5 5 4 4 4 4 5 5 4 4 4 4 5 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 2 5 34 264 436 514 562 570 461 239 88 28 10 3 0 0 0 0 0 4 32 116 243 324 341 333 347 396 459 515 565 635 756 898 980 1001 1020 1063 1107 1139 1196 1288 1385 1472 1532 1549 1524 1469 1408 1389 1374 1355 1414 1546 1669 1722 1686 1606 1572 1593 1634 1629 1545 1414 1323 1366 1534 1633 1553 1401 1292 1247 1218 1196 1202 1221 1209 1141 1026 885 739 610 519 487 484 461 388 294 230 211 210 174 227
61 74 82 80 77 64 47 36 33 29 31 29 32 33 32 36 42 46 46 38 30 26 28 30 30 25 20 18 18 18 16 11 11 11 15 19 22 23 24 22 21 21 20 19 19 18 17 24 31 40 55 75 98 115 117 117 112 108 99 78 70 69 53 43 39 32 23 22 27 22 16 10 7 6 6 6 6 6 6 5 4 4 4 3 3 4 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 2 6 28 128 375 495 570 642 638 472 203 39 9 2 0 0 0 0 0 0 0 48 165 284 346 356 347 356 393 435 474 525 612 748 904 1008 1044 1060 1080 1096 1115 1162 1248 1358 1458 1522 1522 1463 1367 1280 1246 1226 1152 1137 1213 1344 1442 1476 1471 1488 1551 1605 1598 1517 1407 1358 1429 1566 1624 1473 1304 1201 1157 1139 1134 1141 1161 1151 1086 977 854 732 622 534 489 484 470 407 315 241 208 201 193 217
70 78 80 75 73 58 39 26 20 17 19 15 16 16 19 21 25 33 40 41 39 34 29 27 29 28 22 19 20 21 20 16 15 20 16 15 17 19 22 22 22 21 20 19 19 18 19 29 31 31 44 61 77 87 91 90 93 96 78 54 54 45 33 25 24 22 19 18 13 7 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 5 23 99 279 457 602 758 820 726 476 180 14 0 0 0 0 0 0 0 1 5 96 228 327 370 374 369 377 403 427 447 486 573 717 884 1012 1065 1077 1068 1057 1069 1114 1190 1282 1368 1407 1382 1319 1241 1181 1151 1121 1053 1006 1043 1158 1269 1328 1346 1374 1434 1479 1472 1429 1397 1410 1455 1478 1421 1282 1195 1149 1120 1094 1069 1050 1049 1045 996 907 807 713 624 542 489 462 444 393 324 267 238 227 214 190
70 80 75 67 56 38 25 18 15 14 15 16 16 20 25 26 24 23 24 32 41 46 39 27 24 23 20 14 14 16 18 19 20 24 24 18 17 19 21 22 22 22 19 19 19 18 18 24 27 29 36 45 56 66 66 60 67 63 50 42 37 25 19 13 18 28 26 19 13 7 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 15 66 151 274 414 668 948 942 712 395 129 6 0 0 0 0 0 0 0 10 49 170 296 369 391 388 386 397 416 430 437 457 526 660 831 977 1048 1067 1049 1025 1022 1045 1087 1135 1173 1189 1185 1159 1125 1098 1084 1068 1031 986 1034 1134 1213 1232 1224 1239 1288 1330 1336 1349 1380 1392 1350 1257 1157 1116 1122 1097 1050 996 952 930 931 942 921 854 772 693 615 540 479 442 423 377 329 293 286 287 260 192
76 82 76 68 47 27 20 18 18 18 19 21 25 36 51 54 44 33 25 26 34 47 54 39 25 19 16 11 9 11 13 17 18 19 24 25 24 25 23 22 21 21 19 17 16 16 15 15 16 20 28 33 40 44 41 37 42 45 54 48 31 17 12 12 17 22 21 17 13 9 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 4 29 115 129 150 292 586 864 834 521 230 58 0 0 0 0 0 0 0 6 43 129 249 357 400 400 390 387 395 405 412 418 428 475 588 747 902 1006 1058 1066 1038 1009 990 986 994 1012 1034 1060 1058 1031 1008 1003 1013 1021 1025 1129 1178 1138 1074 1050 1086 1157 1217 1246 1279 1302 1243 1124 1018 984 1026 1050 992 922 867 840 840 857 872 860 810 745 682 616 545 482 449 435 389 334 287 304 336 311 215
74 77 75 68 43 27 22 21 22 25 25 27 38 57 77 84 77 59 38 27 25 34 49 48 31 20 15 12 10 10 12 16 18 16 19 25 29 30 25 21 20 19 18 16 15 14 14 15 15 17 22 26 32 36 37 35 37 41 40 28 16 10 8 9 12 13 11 10 10 7 6 5 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 2 4 25 117 69 57 159 347 493 453 229 70 12 0 0 0 0 0 0 1 28 99 201 302 384 411 388 369 367 371 375 380 389 399 432 519 647 795 932 1030 1085 1075 1029 976 936 925 943 974 1001 1005 961 911 903 941 1023 1133 1228 1151 963 855 862 942 1038 1113 1168 1218 1213 1058 909 847 880 942 930 841 781 768 788 819 839 831 795 749 712 680 643 578 512 475 451 411 356 334 355 373 334 231
68 70 66 59 43 29 26 26 29 32 36 42 59 69 71 76 81 78 58 33 21 20 29 40 37 26 18 12 9 9 9 10 11 10 13 18 23 26 22 19 18 17 16 15 14 13 14 15 14 14 16 19 23 28 35 39 37 30 21 15 10 7 7 7 7 8 8 8 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 3 3 3 3 4 4 3 3 3 3 2 2 6 29 90 21 21 65 112 142 113 47 3 0 0 0 0 0 0 0 2 53 132 222 310 380 398 368 339 336 344 350 353 357 370 398 461 549 669 813 952 1054 1093 1060 994 934 901 904 928 947 933 885 822 816 867 971 1065 1058 935 744 675 731 834 932 1010 1088 1169 1125 919 779 736 763 790 756 679 648 691 758 811 824 783 720 673 662 674 678 606 515 456 425 393 351 342 365 374 327 229
68 69 65 60 50 39 31 29 34 41 50 62 74 74 58 59 60 57 47 31 20 15 15 22 28 26 23 16 11 10 10 9 7 7 9 13 15 18 18 16 15 15 14 14 13 13 14 14 12 13 13 13 14 16 21 29 30 25 18 14 13 8 7 7 7 6 7 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 3 3 3 3 3 3 3 2 1 8 39 75 25 36 56 32 18 8 2 0 0 0 0 0 0 0 0 5 48 101 178 273 348 372 348 316 308 314 318 320 325 338 366 410 471 557 676 821 956 1044 1061 1020 959 907 884 883 882 859 814 745 741 789 856 873 801 664 562 570 658 756 844 916 998 1068 969 793 690 659 647 622 577 535 537 599 674 720 731 691 627 586 589 648 696 596 469 390 363 354 343 347 370 368 308 211
62 61 57 61 56 42 29 27 34 47 56 65 73 69 47 66 55 47 38 28 20 17 15 14 17 18 20 20 13 15 16 14 11 9 8 10 10 13 14 13 13 13 13 12 12 12 13 12 11 13 13 12 11 12 14 19 23 23 21 21 15 8 7 7 7 6 6 6 6 5 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 4 3 3 3 3 3 3 3 3 2 2 13 50 72 56 71 70 24 5 0 0 0 0 0 0 0 0 0 0 3 17 34 105 212 298 333 324 299 282 275 278 286 291 304 333 372 423 487 571 688 826 945 1010 1009 965 910 874 852 836 812 764 692 676 712 738 689 585 493 475 530 627 709 777 836 885 872 737 637 600 596 554 500 457 443 466 515 558 577 578 555 517 489 507 603 690 565 424 352 343 358 373 387 403 387 297 192
67 62 55 61 57 38 31 31 37 55 60 58 63 71 68 69 58 50 39 28 21 20 21 18 15 11 17 22 17 17 18 19 17 14 11 9 9 10 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 12 13 14 16 17 16 17 12 8 7 7 7 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 8 31 62 75 85 100 75 19 3 0 0 0 0 0 0 0 0 0 0 0 0 6 54 159 254 308 321 309 287 265 257 258 260 275 304 347 400 455 515 605 728 849 930 951 925 885 858 832 805 776 724 653 628 649 663 617 540 483 491 558 656 731 752 744 699 621 540 514 530 540 484 423 396 407 436 453 438 405 399 404 394 387 434 556 670 534 400 354 369 397 415 431 450 425 291 181
60 63 61 54 47 32 37 42 49 56 59 57 56 53 54 53 49 44 37 28 21 20 23 24 20 14 13 15 13 12 14 16 17 15 11 10 9 9 11 10 10 9 9 9 9 9 10 9 10 11 11 11 12 11 11 11 11 11 12 16 11 8 7 7 7 6 6 6 6 6 6 6 6 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 3 3 3 4 15 48 74 95 115 108 64 14 0 0 0 0 0 0 0 0 0 0 0 0 0 5 33 125 235 314 350 347 319 284 262 254 253 263 288 334 394 456 512 585 687 790 862 885 867 843 837 823 782 740 677 609 579 590 611 609 597 585 594 640 715 773 739 649 541 478 471 494 523 514 437 383 376 392 401 383 336 291 274 278 275 294 372 505 607 503 376 345 369 403 431 461 483 448 280 181
56 60 62 61 55 45 42 44 51 55 56 57 59 61 61 52 46 42 37 29 19 20 27 33 31 22 10 12 11 11 11 11 11 10 8 8 8 8 9 9 8 8 9 9 9 9 9 10 10 10 10 10 11 12 11 10 10 10 11 11 8 8 8 7 6 6 6 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 9 35 81 113 118 86 41 9 0 0 0 9 24 22 5 0 0 0 0 0 0 0 24 109 233 327 373 378 349 312 287 276 266 265 287 335 404 476 540 604 679 761 822 842 828 805 799 798 753 702 629 564 535 545 582 635 693 727 723 708 710 710 655 558 478 458 486 529 548 519 447 390 367 356 341 311 274 250 231 209 200 222 309 445 542 480 353 311 334 384 446 503 519 469 288 198
42 56 56 56 63 58 46 40 45 53 57 60 64 65 62 53 47 40 34 28 20 18 27 39 42 31 17 12 8 8 9 10 9 8 6 6 7 8 8 8 7 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 10 9 8 8 8 8 8 7 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 1 5 29 73 90 78 42 16 3 0 0 2 33 110 141 66 0 0 0 0 0 0 0 24 105 231 322 352 372 367 345 321 298 278 275 298 348 417 489 553 606 655 719 784 815 807 778 752 734 705 663 592 538 524 553 617 700 780 816 779 698 624 573 522 467 452 458 487 517 524 495 437 377 332 295 274 272 278 274 241 205 187 201 284 414 507 477 359 283 284 340 426 479 486 488 327 233
41 58 63 61 69 61 47 43 52 60 63 64 63 60 54 47 43 37 32 28 22 18 22 33 39 30 21 15 10 7 7 7 7 6 6 7 7 7 9 8 7 7 7 8 8 7 7 7 7 9 10 10 10 10 10 10 10 9 8 8 8 8 8 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 1 1 2 2 2 2 2 2 3 3 3 3 3 2 1 1 1 0 4 22 41 38 25 6 1 0 0 0 4 31 126 195 76 0 0 0 0 0 0 0 13 79 183 261 289 323 341 333 309 278 259 270 301 348 407 465 517 559 599 653 723 768 768 733 689 658 660 623 561 531 545 602 682 758 803 797 730 619 527 467 430 416 443 456 467 474 466 436 387 329 272 230 229 272 322 331 282 235 212 227 303 417 503 500 406 298 257 279 338 394 430 436 366 275
64 68 72 73 69 57 42 45 55 59 62 64 57 51 49 45 40 35 30 27 21 18 19 23 26 23 21 19 13 8 6 5 4 5 6 7 8 7 9 8 8 7 7 8 7 7 7 7 8 9 10 10 9 9 9 10 10 9 8 8 8 8 7 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 3 2 2 2 1 0 0 0 0 1 7 10 7 3 1 0 0 0 0 0 2 14 30 6 0 0 0 0 0 0 0 0 27 87 152 201 245 273 254 221 201 208 243 287 332 375 418 458 494 532 578 634 673 667 636 607 598 597 580 536 534 578 640 688 700 683 666 615 532 465 433 419 420 447 452 442 427 409 380 343 294 236 187 196 258 309 323 300 272 253 267 328 424 510 540 491 380 266 233 242 276 324 364 367 321
70 67 69 68 58 46 38 44 53 53 52 54 52 45 42 42 40 37 31 24 18 19 24 25 23 18 14 17 13 9 7 6 6 6 6 6 7 8 9 10 10 9 8 8 7 6 6 7 8 10 10 10 10 10 10 10 10 9 8 8 8 8 7 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 3 3 2 2 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 19 52 93 137 172 153 126 137 173 223 278 329 370 401 431 462 497 522 528 513 509 502 497 508 531 550 543 550 603 653 655 612 553 512 514 508 478 467 449 429 422 405 372 337 318 308 294 267 225 183 178 200 217 245 279 299 313 339 395 466 541 608 616 515 316 223 213 218 240 290 342 359
59 57 61 61 53 43 39 42 53 49 46 43 41 39 36 36 35 32 26 20 17 21 31 34 28 19 12 13 11 9 8 7 8 7 6 6 6 7 9 11 12 10 9 8 6 5 5 6 8 9 10 11 10 11 11 11 10 9 8 8 8 7 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 21 43 61 48 48 99 166 233 302 368 418 446 463 484 504 497 451 387 379 375 388 425 480 526 547 562 607 649 636 580 520 492 506 539 542 511 451 390 343 300 257 218 204 216 236 243 236 220 194 176 186 219 269 332 401 464 518 554 596 683 736 643 404 267 256 250 248 274 329 385
57 56 54 48 47 44 41 43 46 41 40 35 32 31 31 30 28 26 20 17 18 25 36 34 29 25 21 17 10 10 10 9 7 7 6 7 7 7 7 8 9 10 10 7 6 5 6 7 7 10 12 11 11 11 11 11 10 9 8 8 8 7 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 2 13 78 184 271 357 439 499 528 536 536 523 488 420 347 317 313 341 358 385 425 461 490 525 567 587 589 574 557 552 567 575 523 435 343 268 214 178 154 144 165 206 253 298 318 290 248 240 257 302 378 475 562 611 617 632 725 799 737 545 395 339 301 275 278 317 380
58 59 50 39 40 44 43 44 38 31 32 32 31 32 31 28 25 22 18 17 22 30 35 34 32 32 28 19 11 10 10 8 7 7 7 7 7 6 5 5 5 7 9 11 7 6 7 8 10 11 12 11 11 11 11 11 10 9 8 8 8 8 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 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 14 77 205 299 399 495 567 603 611 601 569 497 392 304 266 270 282 268 264 276 302 332 369 416 477 532 546 544 542 547 563 548 475 377 281 217 192 195 201 217 270 346 437 490 472 419 387 386 410 464 537 603 633 633 640 711 782 790 709 577 433 330 285 274 292 337
64 57 49 38 36 39 41 39 33 29 30 34 32 33 31 27 23 20 17 18 27 35 30 22 23 28 26 18 12 10 10 8 7 7 7 7 7 6 5 5 5 8 10 8 8 9 10 10 11 12 11 11 11 10 10 10 9 9 8 8 7 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 2 2 2 1 1 0 1 1 1 1 1 2 2 2 1 1 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 16 78 197 291 397 508 598 652 674 675 652 551 389 255 187 175 178 171 166 162 171 186 213 259 326 384 402 418 451 505 564 600 585 510 408 336 325 351 370 430 461 507 578 636 643 608 574 564 579 608 634 645 639 626 608 636 700 778 784 666 467 319 273 259 262 287
58 47 57 42 32 34 38 37 33 31 34 38 39 35 31 26 21 18 18 23 31 34 27 26 26 27 23 13 12 13 12 10 8 9 8 7 6 6 6 6 6 10 11 9 9 11 13 13 12 13 12 10 11 10 9 9 8 8 8 8 7 7 6 5 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 2 2 1 1 1 1 0 0 0 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 61 153 256 363 486 605 696 751 772 754 653 451 256 140 95 87 96 118 140 142 131 128 150 201 260 321 388 466 543 614 676 715 694 629 586 611 686 757 780 719 676 684 716 730 714 691 687 704 716 710 686 654 621 574 575 626 691 680 566 399 285 252 241 240 253
51 44 49 39 30 36 42 39 32 31 36 43 42 35 29 25 21 19 22 28 30 23 15 18 27 29 23 15 13 14 12 12 11 10 8 7 6 7 7 9 10 12 10 10 10 12 13 13 11 11 10 10 10 10 9 8 8 8 7 7 6 6 5 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 2 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 43 106 197 306 442 603 753 860 913 905 815 602 328 149 64 39 49 82 131 153 139 124 132 171 240 359 471 566 638 684 745 813 856 853 850 890 948 972 920 793 708 681 684 688 677 660 654 663 667 668 667 649 616 563 532 539 538 490 404 316 263 241 218 220 232
49 39 35 34 28 33 41 44 45 41 39 41 44 35 27 24 22 20 24 28 25 19 17 23 27 25 21 18 17 16 12 15 14 12 9 7 7 8 10 12 13 13 11 9 10 12 12 12 11 10 9 9 9 9 10 9 8 7 7 6 6 5 4 6 6 6 6 6 5 4 4 4 4 4 4 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 39 78 138 228 364 554 763 928 1018 1030 939 725 391 159 51 18 22 49 96 145 157 157 166 201 272 377 445 478 507 552 632 735 835 904 930 948 942 880 777 680 609 565 536 515 497 481 472 476 483 497 516 525 509 468 423 396 373 344 314 289 271 253 217 209 220
43 35 29 25 25 28 32 30 28 33 37 38 40 29 24 22 22 23 25 24 19 18 22 26 24 20 21 25 25 20 16 19 18 16 13 11 10 12 14 14 13 12 10 10 11 12 13 12 11 10 9 9 10 9 9 8 7 7 7 6 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 18 40 64 96 154 258 417 617 792 903 940 851 626 323 112 29 4 3 18 51 97 127 135 140 158 188 218 215 200 214 276 377 498 623 727 777 773 726 637 541 462 404 361 328 303 286 278 280 291 301 312 322 330 324 303 278 264 271 290 302 298 286 272 242 215 226
33 32 23 24 27 30 33 37 39 40 39 31 25 24 24 24 24 24 22 20 17 20 23 20 19 20 24 25 21 19 19 20 19 21 18 16 16 15 15 14 12 11 10 10 11 12 12 11 11 10 10 10 11 8 8 7 6 6 6 6 5 5 5 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 2 1 6 8 6 4 7 12 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 28 39 57 90 146 229 333 434 510 512 409 270 147 46 8 1 0 3 13 29 42 39 41 46 45 37 32 35 52 104 192 304 424 525 580 575 523 442 359 290 249 223 196 173 159 157 166 177 183 185 180 178 184 188 194 208 241 286 311 305 293 293 297 267 269
26 26 21 22 32 31 27 26 30 36 40 33 28 25 27 32 29 23 20 20 21 23 20 18 22 25 24 20 16 18 20 20 20 21 19 18 18 16 14 13 11 10 10 11 12 12 12 10 9 9 10 10 10 8 8 6 6 6 6 5 5 5 6 6 6 6 4 4 4 4 4 4 4 3 3 3 3 3 2 3 20 33 29 25 34 46 35 9 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 1 5 10 14 26 44 63 79 91 101 114 98 72 51 29 9 0 0 0 0 0 0 3 2 0 0 0 0 0 1 6 37 112 217 329 428 494 505 461 405 346 288 238 199 168 140 120 113 118 124 122 113 99 100 125 154 181 208 245 294 326 316 303 323 354 342 341
25 23 21 22 28 29 28 32 34 33 32 35 40 31 33 38 32 22 20 22 22 20 17 18 23 24 22 20 19 19 18 21 22 21 18 16 17 15 13 12 11 11 10 13 13 12 11 11 9 9 10 10 9 8 7 7 7 7 6 6 5 5 6 6 6 5 4 4 4 4 4 4 3 3 3 2 2 2 2 7 29 54 57 58 67 69 49 9 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 1 2 7 13 17 16 10 7 8 6 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 23 90 192 298 388 448 469 458 430 386 335 281 228 185 153 129 120 121 122 117 104 82 87 122 157 181 201 234 289 351 341 326 356 393 397 401
26 24 24 29 34 35 31 33 36 33 30 30 31 28 31 35 32 25 22 22 21 18 17 19 20 17 19 20 19 18 17 23 20 20 17 15 15 16 13 12 11 10 11 13 11 11 11 11 11 10 9 9 9 7 6 7 7 6 6 6 6 6 6 6 6 5 4 4 4 4 4 3 3 3 2 2 2 2 1 6 25 58 81 84 89 67 34 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 41 115 214 296 354 390 409 419 405 370 326 276 227 192 170 152 149 148 142 136 127 110 111 134 150 160 183 236 317 392 376 357 384 412 419 427
26 25 23 24 28 34 37 37 34 32 31 33 35 34 34 30 27 25 23 21 22 24 22 20 19 17 19 22 19 17 18 20 17 20 17 15 14 14 13 12 12 12 12 11 10 9 10 10 10 10 9 9 6 6 6 6 5 5 5 6 6 6 6 5 6 4 4 4 4 3 3 3 3 2 2 2 2 2 1 2 25 63 95 98 86 49 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 39 98 180 245 278 296 309 321 326 308 271 231 199 181 172 170 171 175 173 161 151 145 140 135 128 120 132 188 281 377 423 404 384 394 412 426 432
26 24 23 24 28 35 37 39 39 37 34 36 38 40 38 31 27 24 23 21 21 25 19 18 18 19 21 21 19 18 18 17 15 18 15 14 13 13 13 13 12 12 12 11 10 9 8 9 9 9 8 8 7 7 7 6 5 5 5 6 6 6 6 6 5 4 4 4 3 3 3 3 2 2 2 1 0 0 0 1 35 76 97 87 61 26 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 80 155 209 213 201 199 199 204 204 192 169 144 127 121 129 147 167 176 180 169 166 165 159 141 115 100 124 198 314 413 442 423 403 390 394 407 417
26 25 25 24 25 32 35 42 46 45 42 40 41 45 42 36 32 26 26 24 21 21 22 23 21 22 22 21 20 19 18 15 15 16 15 14 13 13 13 13 12 11 10 9 9 8 7 8 9 8 8 8 8 8 7 6 6 6 6 6 5 5 6 5 4 4 4 3 3 3 2 2 2 1 1 0 0 0 10 43 78 102 102 79 50 20 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 3 27 81 136 154 131 107 101 96 95 92 84 74 71 77 86 105 134 159 167 174 171 177 173 154 125 104 113 163 243 339 417 450 445 427 392 381 392 404
25 26 26 25 26 26 24 25 28 35 42 46 46 42 41 40 36 30 25 22 22 22 21 20 19 22 22 22 21 19 17 15 16 16 15 14 14 13 12 12 11 10 9 8 8 7 6 7 8 8 8 8 8 8 7 6 6 6 6 6 6 6 5 4 4 4 4 3 2 2 2 2 2 1 0 0 0 14 54 107 135 135 120 95 65 35 9 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 3 14 41 71 90 90 76 62 53 47 40 32 27 29 44 61 92 130 161 173 176 173 172 159 134 108 99 112 136 258 340 398 438 456 452 422 403 405 409
22 23 24 24 24 26 32 40 42 40 41 44 45 41 39 38 35 27 23 21 20 21 23 24 23 20 20 19 18 17 16 16 16 15 13 13 13 13 12 11 11 10 9 9 10 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 5 4 4 4 3 3 3 2 2 2 1 1 1 0 1 4 57 109 143 155 149 134 112 82 45 15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 22 56 79 75 59 48 42 35 24 15 16 35 51 77 112 147 171 179 176 172 165 152 138 123 114 137 222 289 348 406 453 470 457 431 412 399
23 25 28 30 26 27 30 31 34 37 41 42 44 45 42 34 39 30 23 21 21 21 21 22 20 19 19 17 15 15 15 14 13 14 11 13 12 12 11 10 10 9 9 8 9 10 9 9 8 7 7 6 6 6 6 6 6 6 6 5 4 4 4 4 4 3 3 2 2 2 2 1 0 0 1 11 36 92 118 128 130 126 115 95 63 27 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 26 46 49 48 66 59 36 29 26 27 35 43 52 85 129 170 200 217 229 238 241 239 223 184 140 154 218 298 384 454 489 487 460 425 387
25 24 25 26 27 27 36 38 38 37 36 37 38 42 43 38 34 27 25 23 24 24 22 22 18 21 21 16 14 13 13 12 12 12 10 13 11 10 10 9 9 9 9 10 10 10 9 9 8 8 7 6 6 6 6 6 6 6 6 5 4 4 4 4 4 3 3 2 1 1 1 1 0 4 15 36 63 77 80 83 86 81 68 45 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 17 23 27 40 48 33 27 30 35 39 46 53 101 168 228 276 313 342 360 365 362 348 327 302 278 300 358 427 479 497 483 458 454 432
23 24 25 24 22 21 25 31 34 37 37 38 41 42 41 36 32 30 32 27 25 25 26 23 18 23 20 18 16 14 13 13 13 10 10 12 10 10 9 8 8 9 8 9 10 9 8 9 8 8 7 6 6 6 6 6 6 5 4 4 4 4 4 3 3 3 3 1 1 0 0 1 5 15 37 45 48 47 48 52 51 42 28 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 13 24 36 39 31 33 41 51 66 90 152 237 306 356 394 425 449 458 461 457 453 448 449 466 492 518 505 441 368 346 399 489
21 25 28 29 26 23 23 27 38 41 39 39 41 41 38 32 34 32 25 25 26 24 22 21 20 22 19 19 17 16 16 16 13 10 11 11 9 10 8 8 9 9 10 11 10 8 8 8 8 7 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 2 1 0 0 0 4 14 24 34 28 26 31 37 38 32 21 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 38 68 73 66 69 98 161 256 323 359 389 423 464 505 524 541 546 560 575 589 612 627 607 516 349 221 205 281 480
22 25 23 19 20 23 25 29 34 37 38 40 40 38 34 32 33 34 30 25 25 25 23 21 20 20 19 20 17 17 16 15 12 11 13 10 8 9 8 8 9 10 10 9 9 8 8 8 7 7 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 2 2 1 0 0 3 8 16 17 12 10 11 24 29 25 16 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 22 68 130 177 134 169 281 388 412 379 376 405 471 549 600 623 646 664 669 674 683 677 619 477 282 167 157 227 437
25 26 24 22 20 21 24 29 31 32 34 39 40 38 35 32 30 26 29 27 25 25 26 23 20 20 19 18 17 17 15 13 12 13 13 9 9 9 8 9 10 10 9 8 8 8 8 7 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 2 1 0 0 3 13 16 8 4 1 2 3 16 13 9 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 0 0 0 0 0 0 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 25 109 351 259 260 367 464 446 355 338 368 456 569 664 713 744 758 755 743 733 722 666 473 282 200 198 267 434
25 24 24 23 22 23 26 31 31 30 31 35 37 38 36 33 30 27 28 28 27 26 24 23 21 21 18 17 17 17 15 13 12 12 11 10 9 9 10 10 10 10 9 8 8 8 7 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 1 0 9 13 13 12 1 0 0 0 5 20 15 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 0 0 0 0 0 0 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 39 224 221 287 390 448 402 307 304 366 462 574 677 743 776 790 794 790 788 789 755 572 375 312 313 372 476
23 22 24 23 23 25 29 32 29 30 31 34 35 35 35 33 31 30 28 26 26 24 23 22 21 20 19 18 17 16 15 13 11 10 10 9 8 10 10 10 10 9 8 8 8 7 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 1 0 46 36 14 1 0 0 0 0 9 20 16 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 0 0 0 0 0 0 0 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 39 136 260 353 375 329 267 279 358 449 546 639 709 742 758 773 781 793 810 804 703 542 510 497 510 544
20 18 17 16 19 24 26 26 27 32 32 33 34 34 33 32 30 29 27 25 25 23 22 21 19 18 18 17 17 16 15 14 12 10 10 9 9 10 10 9 9 8 8 8 8 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 1 5 42 32 11 0 0 0 0 0 9 14 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17 89 201 289 315 284 245 260 323 397 475 549 608 650 684 718 748 781 797 790 754 694 665 630 592 557
17 14 13 15 19 25 25 22 24 29 32 32 32 32 31 31 31 29 25 25 24 22 22 20 19 18 17 15 17 15 14 13 12 11 11 10 10 10 9 8 8 8 7 7 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 1 2 8 6 1 0 0 0 0 0 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17 72 165 256 292 265 232 242 293 340 387 430 471 513 559 609 656 695 730 744 733 713 671 617 532 444
14 11 12 14 21 27 28 24 23 26 30 31 29 29 29 29 29 29 27 24 22 21 21 20 19 17 15 15 15 13 13 12 11 11 11 10 10 10 9 8 8 8 7 6 6 6 6 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 22 79 162 242 272 247 227 238 272 305 329 351 374 402 441 494 557 614 628 647 661 647 614 557 444 316
14 12 13 15 21 25 24 22 22 26 28 27 26 25 25 26 27 27 27 23 21 21 20 19 18 17 15 14 13 12 12 11 10 11 11 10 10 8 8 8 8 7 7 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 2 39 107 176 205 211 204 226 255 284 310 328 340 353 368 391 429 482 525 528 551 573 579 566 509 382 249
14 14 16 20 23 22 21 21 23 25 26 24 23 23 23 23 24 26 24 21 21 20 20 19 18 16 15 14 12 11 11 11 10 10 10 10 9 8 8 8 7 7 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 7 47 109 150 143 131 159 214 263 300 324 337 346 358 370 383 402 430 474 479 487 503 519 514 458 332 225
15 15 18 20 21 18 19 21 23 23 23 21 19 20 21 21 22 23 22 21 21 20 20 20 18 16 14 13 12 11 11 11 10 10 10 9 8 8 8 8 7 6 6 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 53 66 58 58 90 151 207 249 277 293 305 318 336 350 362 376 392 410 424 428 426 415 376 289 215
14 16 19 19 18 16 16 19 21 21 20 20 19 19 19 21 22 21 19 20 20 18 18 19 18 16 14 13 11 9 10 11 11 10 9 8 8 7 7 8 6 6 6 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 10 11 15 32 59 96 138 172 193 204 220 248 271 289 306 330 360 373 365 345 323 294 243 196
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12 14 14 13 12 12 14 15 16 17 17 16 16 17 19 20 20 18 17 17 16 16 16 14 14 14 13 11 9 10 10 10 10 9 8 8 8 8 8 5 6 6 6 5 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 6 4 2 0 0 0 4 15 39 70 92 117 144 175 210 239 242 199 139 113 113 143 208
13 14 16 12 11 11 12 14 14 14 14 14 14 14 17 18 19 19 17 16 16 16 15 14 14 14 13 11 10 10 10 10 10 9 8 8 8 8 7 5 6 6 5 5 4 4 4 4 3 3 3 2 2 2 2 2 2 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 6 31 67 94 87 62 40 22 9 2 0 3 15 43 78 108 134 159 182 205 224 230 210 157 132 145 194 265
13 15 14 12 10 11 12 14 13 11 10 12 14 15 16 18 18 17 16 15 16 15 14 13 13 13 13 11 11 10 10 10 9 9 8 8 8 7 6 5 6 6 5 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 14 22 27 40 70 127 183 195 176 140 99 61 34 21 17 25 54 83 106 127 145 170 203 240 278 302 273 210 198 243 312
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