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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 7 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 12 14 13 9 10 14 16 13 8 2 -1 -1 -0 3 5 7 7 7 7 8 9 10 10 10 10 9 10 10 9 9 8 7 6 7 9 10 12 11 10 8 7 6 6 6 6 6 6 5 5 5 6 6 5 4 3 4 6 6 7 8 9 9 8 7 8 9 11 10 7 3 2 3 3 4 4 5 6 6 7 7 7 7 7 7 6 6 7 8 8 7 7 7 7 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 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 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 11 12 13 12 10 13 18 19 14 7 2 -1 -0 3 5 7 8 7 6 6 7 7 8 8 9 10 10 11 10 9 7 6 5 5 7 9 10 11 11 9 8 7 7 7 6 6 5 4 4 4 4 5 5 5 5 5 7 7 7 7 8 9 9 8 8 9 10 9 7 6 4 4 4 5 5 5 6 7 7 8 8 7 7 7 7 6 6 7 8 8 7 8 9 10 nan
nan 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 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 8 8 8 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 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 11 11 11 10 11 14 19 19 15 10 5 2 2 5 7 8 8 6 6 6 6 7 7 8 9 10 11 11 10 8 6 5 4 5 6 8 10 10 10 9 8 8 7 7 6 5 4 4 4 4 5 5 5 7 8 9 9 8 7 7 9 10 10 9 9 9 8 6 4 4 5 5 5 6 6 7 9 9 9 9 8 8 8 8 7 7 8 9 9 8 8 9 12 13 nan
nan 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 11 14 16 17 15 12 8 5 4 6 8 8 7 6 6 6 6 7 7 8 9 10 10 10 8 7 6 5 4 5 6 7 8 9 9 9 9 8 8 6 5 4 4 4 5 5 5 5 6 9 13 12 10 7 6 7 9 11 11 10 9 7 5 3 3 4 5 6 6 6 7 9 11 11 11 9 9 8 8 9 8 9 10 11 10 8 8 10 13 14 nan
nan 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 10 12 14 14 15 14 13 11 8 5 4 5 6 6 6 6 6 6 6 7 7 9 9 9 8 7 6 5 5 4 4 4 5 6 6 7 8 9 9 9 8 6 5 5 4 5 5 5 5 5 7 10 13 12 8 6 6 7 9 11 12 10 8 5 2 2 3 4 5 5 6 6 7 9 11 11 11 9 9 9 11 11 11 10 11 11 10 8 8 10 12 13 nan
nan 8 8 8 8 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 6 7 10 15 17 17 15 13 10 8 5 3 3 3 4 5 5 6 6 6 6 7 7 8 8 8 7 6 5 4 4 4 4 4 4 5 5 5 6 7 8 8 7 6 5 4 4 5 5 5 5 5 7 9 10 9 7 6 6 7 9 11 11 9 5 2 1 2 3 4 5 5 5 5 6 7 9 10 10 9 10 12 15 16 14 12 10 9 7 7 8 10 11 10 nan
nan 8 8 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 6 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 8 7 7 7 8 10 10 9 7 7 10 17 21 20 15 10 6 4 3 3 3 3 4 4 5 6 7 7 7 7 7 7 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 4 4 5 5 5 5 5 6 8 8 7 6 5 5 6 8 10 8 5 1 0 2 3 4 4 5 5 5 5 5 6 7 8 9 10 13 18 22 21 17 13 10 7 5 6 8 9 10 8 nan
nan 8 7 8 7 7 7 7 8 8 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 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 7 8 8 8 7 7 8 9 10 10 8 7 10 18 24 21 14 8 4 3 3 4 4 4 5 5 6 7 8 8 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 4 4 3 3 3 4 4 5 5 4 4 5 5 5 5 5 6 6 7 6 5 4 4 4 5 7 7 5 2 1 2 4 4 5 5 6 7 7 7 6 6 8 9 11 13 17 22 24 21 17 13 10 7 6 6 9 11 10 7 nan
nan 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 7 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 11 11 10 8 10 18 22 19 12 7 4 4 4 5 5 6 6 6 7 8 9 9 8 7 7 8 8 9 8 7 6 6 6 6 6 5 5 5 5 4 3 3 3 4 4 4 4 5 5 6 5 5 5 6 6 6 6 5 4 4 4 5 6 6 4 3 3 6 8 7 6 5 7 8 10 9 8 7 8 9 11 13 18 21 19 15 13 11 10 9 8 9 11 12 10 6 nan
nan 8 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 9 10 12 11 9 11 16 18 14 9 6 4 4 5 5 6 7 7 8 8 9 10 9 7 7 7 9 10 10 9 8 6 6 7 7 6 6 6 6 5 5 4 4 4 5 5 5 5 5 6 6 6 5 5 6 6 7 8 7 6 5 5 5 5 5 4 5 7 11 13 12 8 6 7 9 10 10 10 9 8 7 8 11 15 15 12 8 7 8 8 9 10 12 13 12 8 4 nan
nan 8 8 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 11 11 11 13 15 13 8 6 5 4 3 4 6 8 9 9 10 10 10 9 8 7 7 8 10 11 11 10 8 7 7 7 7 7 7 7 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 9 11 13 12 10 8 6 5 4 4 6 9 12 16 17 15 12 8 6 8 10 12 13 12 10 8 7 10 12 11 7 4 3 4 6 9 12 14 14 11 5 2 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 9 11 13 13 13 13 12 11 11 11 10 9 8 8 8 12 14 13 10 6 5 5 3 1 2 6 10 12 12 12 11 10 8 6 6 7 8 10 12 12 11 9 8 7 7 7 7 7 7 6 6 5 5 6 6 6 6 6 6 7 6 6 6 7 8 9 12 15 17 16 13 9 5 3 3 5 8 12 15 17 18 17 15 12 9 9 11 13 15 15 13 10 9 10 11 9 5 3 1 2 4 7 10 13 13 10 4 1 nan
nan 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 10 11 12 13 13 13 12 12 12 12 10 6 3 3 7 13 14 11 9 7 5 2 0 2 7 13 15 15 13 11 8 6 5 5 6 8 10 11 12 11 10 8 7 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 9 11 13 14 15 13 11 8 5 4 5 7 10 13 15 16 18 19 19 16 12 10 11 12 14 14 13 11 11 10 9 7 5 3 3 3 3 5 7 9 10 9 6 3 nan
nan 8 8 8 9 9 8 8 9 9 9 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 10 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 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 11 12 11 11 11 13 14 13 7 1 -2 2 11 16 16 12 8 4 2 1 4 9 15 17 16 13 10 7 6 5 5 5 7 8 10 11 10 9 7 5 4 5 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 5 6 7 9 10 10 10 10 9 9 9 8 8 8 9 11 13 14 16 19 21 21 19 14 10 9 9 9 9 10 10 11 10 9 7 6 6 6 5 4 3 4 5 6 7 8 7 nan
nan 8 8 8 8 8 9 9 9 9 10 10 10 11 11 10 10 9 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 12 13 11 8 8 10 13 14 11 3 -3 2 12 18 16 11 6 3 3 5 9 13 17 17 14 11 8 7 6 6 6 6 6 7 8 9 9 7 6 4 4 5 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 8 9 9 7 6 6 6 8 11 12 12 11 11 12 13 15 17 19 21 21 18 13 9 7 7 6 6 6 7 9 10 10 9 9 10 10 8 5 2 2 3 5 6 8 10 nan
nan 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9 9 10 10 10 10 9 9 9 10 12 14 16 15 10 4 2 4 8 12 13 8 3 6 15 17 12 6 3 4 7 11 14 16 16 13 10 8 7 7 8 8 7 7 6 6 7 7 7 6 5 5 5 7 8 8 9 8 8 7 7 6 6 5 5 6 7 8 7 7 8 9 10 9 8 6 5 5 7 11 13 12 11 11 12 13 15 16 18 20 20 16 10 6 5 5 5 5 4 5 6 8 9 10 11 12 11 9 5 3 2 3 5 6 8 11 nan
nan 8 8 8 8 8 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 12 12 11 12 12 12 12 13 13 14 16 16 13 8 2 -2 -2 3 9 13 14 12 13 15 13 8 5 5 9 13 16 17 16 13 9 7 7 8 8 9 9 8 7 6 6 6 6 6 5 5 6 7 8 9 9 9 8 7 7 6 6 6 5 6 8 10 10 10 9 10 11 11 12 12 10 8 6 6 8 10 10 9 9 10 12 14 16 18 19 16 11 6 4 4 4 5 4 4 4 5 5 6 8 9 10 9 7 4 2 2 3 4 5 7 9 nan
nan 8 8 8 8 8 9 10 11 11 11 11 12 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 10 11 13 15 16 16 15 14 13 14 16 18 19 19 17 16 15 14 11 8 5 2 1 3 9 14 18 19 16 13 11 10 10 13 16 18 17 16 13 11 9 9 8 8 9 9 9 8 7 6 6 5 5 5 5 5 7 8 9 10 9 9 8 7 7 7 7 7 7 7 10 12 12 11 10 10 11 12 14 15 15 13 9 7 6 7 7 7 8 9 11 13 14 15 13 10 6 4 3 3 4 5 4 4 5 5 4 4 5 6 7 6 5 3 1 -0 0 2 3 5 7 nan
nan 8 8 8 8 9 10 10 11 11 11 12 12 11 10 10 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 9 10 13 15 16 16 16 15 15 17 20 23 22 19 17 15 13 12 11 11 10 10 10 12 16 20 20 17 13 14 16 18 20 20 18 15 12 10 10 10 10 9 9 9 9 8 8 7 6 6 5 5 5 5 5 6 8 9 9 9 8 8 7 8 9 9 9 9 9 10 12 13 11 10 10 10 11 12 15 16 15 12 9 7 7 7 7 8 9 10 12 12 10 6 3 2 2 3 4 5 5 5 5 5 5 4 4 5 6 6 6 6 4 2 -0 -1 1 3 5 6 nan
nan 8 9 9 9 10 10 11 11 11 11 11 11 11 10 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 9 10 13 16 17 16 14 14 16 19 19 16 14 12 12 12 14 17 18 18 16 15 16 19 22 21 18 17 18 19 18 17 14 11 9 8 9 9 8 8 8 8 8 8 8 8 7 6 5 5 5 5 6 6 7 7 7 8 8 8 8 9 10 12 12 11 9 10 11 11 10 9 8 7 8 9 12 15 16 14 10 8 7 7 7 8 9 9 9 8 5 2 0 1 1 3 4 5 5 5 5 5 5 5 6 7 7 7 7 6 5 3 1 0 1 3 5 6 nan
nan 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 12 13 13 13 12 12 12 14 19 20 19 15 13 12 13 12 10 7 7 9 13 17 22 25 25 21 18 17 21 27 27 21 16 13 12 12 11 10 8 7 7 7 6 5 5 6 7 8 9 9 8 7 6 6 5 5 5 6 6 6 6 6 6 7 8 9 10 12 14 14 11 8 8 9 10 10 9 8 6 6 7 10 14 16 14 10 8 6 6 6 7 7 7 6 5 3 2 2 3 4 4 5 5 6 6 6 6 6 6 7 8 8 8 8 6 4 3 2 2 2 4 5 6 nan
nan 9 10 10 10 11 11 11 12 12 11 10 10 10 10 10 10 11 11 10 10 9 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 7 7 8 8 8 8 7 7 7 7 8 8 9 9 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 11 13 16 18 19 19 18 17 17 17 19 22 24 22 19 17 15 13 9 5 2 4 10 17 24 29 31 29 25 22 22 27 30 27 19 12 9 8 7 7 6 5 5 5 4 5 4 3 4 6 7 8 8 8 7 7 6 6 6 6 6 6 6 6 5 5 5 7 8 11 14 17 16 11 6 6 7 8 10 11 10 9 8 8 11 13 13 11 8 6 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 7 7 7 6 6 7 7 8 9 9 9 8 6 5 4 3 3 4 6 8 nan
nan 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 10 10 10 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 11 13 17 19 20 19 17 16 15 16 18 20 21 22 21 21 21 20 16 12 8 6 9 16 24 30 33 32 29 25 24 25 26 25 20 13 9 7 7 7 6 4 3 3 4 5 6 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 4 4 5 7 10 14 17 16 12 7 4 4 6 9 12 13 14 13 13 13 12 11 8 6 5 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 8 8 8 8 9 11 12 12 12 10 9 7 6 5 5 7 9 nan
nan 10 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 7 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 14 16 17 16 13 9 8 9 11 14 16 17 17 18 21 23 23 21 19 17 16 18 21 25 27 27 24 21 20 20 21 20 16 11 9 8 8 7 7 5 4 3 2 4 7 10 12 12 10 8 7 6 5 5 5 6 7 8 9 9 8 7 6 5 5 5 4 5 6 9 13 15 15 12 8 4 3 4 7 11 14 17 17 16 14 11 8 6 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 8 8 8 9 9 9 9 9 10 11 13 15 15 15 13 11 9 7 5 5 7 10 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 12 13 11 8 4 3 5 8 12 15 16 18 20 23 24 25 24 23 22 21 20 20 20 19 17 15 14 14 15 15 13 11 9 8 8 8 7 7 6 5 4 3 4 7 9 12 12 11 8 7 6 5 5 5 5 6 7 9 10 9 7 5 5 5 6 6 8 9 10 11 11 11 11 8 4 2 2 5 10 14 17 17 14 11 8 6 4 3 3 3 4 4 4 4 5 5 6 7 8 8 8 8 9 9 9 10 10 11 11 10 11 11 12 13 14 14 13 12 10 8 5 4 4 6 9 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 10 9 10 11 10 7 4 2 3 7 11 15 19 22 24 25 24 22 20 19 18 17 16 15 14 13 11 10 10 10 10 10 10 10 9 9 8 7 7 7 7 6 6 6 5 6 6 7 8 8 7 6 5 5 5 5 5 5 6 8 11 11 8 6 5 6 8 11 13 13 12 9 7 7 7 5 2 1 2 5 10 15 17 15 10 7 5 3 3 2 2 3 3 4 4 4 5 5 7 8 9 9 9 9 9 10 10 10 11 11 11 12 12 13 12 11 9 9 9 9 9 7 5 3 2 4 6 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 12 11 12 12 12 11 10 10 11 12 11 8 3 0 2 7 11 13 15 19 20 19 17 15 12 11 11 11 11 11 11 10 9 8 7 7 7 7 7 8 7 6 6 6 5 5 5 6 7 8 8 6 5 4 4 4 4 4 5 5 6 7 7 6 7 10 14 14 11 7 6 8 12 17 19 17 12 7 5 4 4 2 1 0 2 6 11 15 15 12 7 4 3 2 2 2 3 3 3 3 4 4 4 5 6 7 8 9 10 10 10 10 10 10 10 11 12 14 15 15 13 10 7 7 8 9 9 8 6 4 2 3 3 nan
nan 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 11 12 13 13 11 8 3 -0 3 9 11 10 8 9 9 8 7 8 9 9 8 7 7 8 9 10 9 7 6 5 5 6 5 5 5 5 5 4 4 3 4 5 8 10 11 10 7 4 3 2 2 3 4 6 9 11 12 12 14 17 20 18 14 9 8 11 16 20 20 16 10 6 5 5 4 4 3 3 4 8 12 14 12 8 4 2 2 2 3 3 4 5 5 5 4 4 4 4 5 6 7 8 9 10 10 10 10 10 11 12 14 16 17 16 15 13 11 11 12 12 12 10 8 5 4 4 4 nan
nan 10 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 10 11 11 11 11 11 11 10 11 11 11 11 11 12 12 12 12 12 14 14 14 13 12 12 11 9 6 4 4 8 12 11 7 5 2 1 1 3 7 11 12 8 5 5 7 9 10 9 8 7 6 6 6 6 5 5 5 5 5 5 5 5 7 10 13 15 13 10 7 4 3 2 2 3 6 10 15 18 21 21 22 22 19 15 12 11 13 16 18 17 12 8 5 6 8 9 9 9 9 10 12 13 11 8 4 1 1 1 2 3 5 6 7 8 8 7 6 5 5 6 7 7 8 9 10 11 11 11 12 13 14 14 15 14 14 15 16 17 16 16 14 12 10 8 7 6 5 5 nan
nan 10 11 11 11 11 10 10 11 11 11 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 8 9 9 8 8 9 9 9 8 7 7 8 9 8 8 9 10 11 11 11 11 11 11 10 11 11 11 11 12 12 12 12 12 13 14 15 15 13 10 8 6 5 5 8 11 13 12 8 5 4 4 3 5 7 11 13 12 7 3 3 5 8 10 11 11 10 9 8 8 8 7 7 7 6 6 7 8 10 13 16 19 19 16 11 7 6 5 3 2 3 5 10 18 24 28 25 21 18 15 14 14 15 16 16 14 12 9 7 6 7 10 13 15 17 17 18 18 15 9 4 1 -0 -0 1 2 4 6 8 10 11 11 10 8 8 9 10 10 11 11 11 11 12 13 14 15 16 14 12 11 11 12 14 17 16 13 11 8 6 6 6 6 6 6 5 nan
nan 10 11 11 11 11 11 11 11 11 12 11 11 11 10 10 9 9 9 10 10 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 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 14 14 14 14 12 7 2 -1 -0 4 11 15 14 7 3 2 3 6 9 12 14 15 14 10 6 4 3 4 6 8 10 11 11 11 11 10 9 9 8 7 7 6 7 9 12 18 22 24 21 14 9 7 6 6 4 3 3 5 11 19 28 29 24 16 12 10 12 15 18 18 15 12 10 8 8 8 9 10 13 16 18 20 22 21 16 9 3 0 -0 0 1 3 4 6 9 11 12 13 12 12 13 14 15 16 16 15 15 13 13 14 16 17 16 13 11 10 10 11 13 13 11 6 2 -1 -1 1 3 4 5 5 5 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 12 11 11 9 4 -2 -4 -2 5 12 15 11 4 0 1 3 7 11 16 19 19 14 10 7 5 3 2 3 4 6 8 9 10 10 10 9 8 6 5 4 2 2 5 10 17 22 23 17 10 6 5 6 6 5 4 3 6 11 18 26 25 19 12 8 9 11 14 16 15 13 12 11 11 10 10 9 9 10 12 15 18 20 19 14 8 3 2 2 2 4 5 6 7 8 10 11 12 13 15 16 17 18 19 19 18 16 13 12 13 15 16 15 14 12 11 11 10 10 10 8 4 -0 -2 -2 -0 2 4 6 7 9 nan
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nan 11 11 11 11 11 11 12 13 13 12 12 11 10 10 10 11 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 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 12 13 14 14 14 17 20 22 20 16 10 4 1 -0 1 3 5 6 7 8 11 16 17 13 6 -0 -1 3 8 10 12 12 9 6 4 3 3 1 0 1 3 6 9 11 12 11 9 5 0 -3 -4 -5 -4 -3 -1 1 3 5 7 7 7 8 9 11 12 12 10 7 4 4 6 13 20 21 17 12 9 9 10 11 13 13 12 10 7 6 5 6 8 11 13 14 15 14 13 12 11 11 11 10 9 7 6 7 9 10 8 6 6 7 7 4 3 3 3 3 4 4 5 5 5 5 5 5 6 7 9 10 10 11 12 14 nan
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nan 12 12 12 11 9 7 6 5 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 12 12 12 12 12 13 15 20 22 22 20 16 11 8 5 3 4 7 11 14 15 15 17 19 22 22 21 19 16 14 11 10 9 12 14 14 12 9 7 5 5 6 7 8 8 8 7 7 8 9 10 10 10 9 8 7 8 10 11 11 11 10 9 7 6 6 5 5 5 5 4 4 4 4 5 7 9 11 12 12 11 10 10 10 11 11 12 12 12 11 11 11 11 11 9 9 9 10 10 10 9 9 10 11 13 16 18 19 19 17 13 11 9 8 8 8 9 10 9 8 7 6 5 5 6 8 9 10 11 11 11 11 12 13 15 16 17 17 17 16 16 14 12 11 10 10 9 9 8 8 8 8 7 6 6 7 12 16 18 17 14 10 6 5 5 6 nan
nan 13 13 12 10 8 6 5 4 5 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 13 13 13 12 12 13 15 19 22 22 20 16 11 8 5 3 3 6 10 13 16 18 19 22 23 23 20 16 12 8 5 3 4 6 10 13 12 11 9 8 8 9 10 11 11 11 11 11 11 10 9 9 8 8 7 8 9 12 13 13 12 11 10 8 7 7 6 6 6 6 5 5 4 3 3 4 6 9 11 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 10 9 9 8 7 7 7 8 10 11 11 13 15 17 19 18 16 13 11 9 8 8 9 10 10 9 7 6 6 6 7 9 11 12 12 12 11 11 12 13 14 14 14 13 12 12 12 12 11 10 10 10 9 8 8 7 7 7 6 5 5 8 13 16 17 16 13 10 8 7 7 7 nan
nan 13 13 11 10 7 5 4 4 5 6 6 6 7 7 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 10 10 11 11 11 11 11 12 13 13 13 13 12 12 15 20 25 27 24 19 13 8 5 3 3 4 9 14 18 21 23 24 24 23 19 14 9 5 1 -2 -2 1 7 13 17 18 17 15 14 14 14 15 16 16 15 14 12 10 8 8 7 7 7 8 9 11 11 11 11 10 10 9 9 9 8 8 7 7 7 6 5 3 2 2 4 6 9 11 11 11 11 11 12 12 12 11 12 12 11 11 10 10 10 9 8 7 6 6 7 9 10 10 10 10 11 14 15 16 15 13 11 9 8 8 9 10 10 9 8 7 7 6 8 9 10 11 11 11 11 11 12 13 14 14 13 12 11 10 10 10 10 10 10 10 9 8 7 5 4 3 2 2 5 11 15 16 15 13 11 10 9 9 9 8 nan
nan 12 12 10 9 6 5 4 4 5 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 10 9 9 9 9 10 10 11 11 11 11 11 11 12 13 13 13 13 13 16 21 26 29 28 21 15 9 5 4 3 4 8 14 19 23 25 25 23 21 17 13 9 5 1 -2 -3 -1 6 14 20 23 23 21 19 17 17 18 19 18 17 15 12 10 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 10 9 8 7 7 7 7 6 4 3 3 5 7 8 9 10 10 11 11 12 12 11 10 10 10 9 9 9 10 9 9 8 7 7 9 10 10 9 9 9 10 11 12 12 12 11 11 10 10 10 11 11 10 10 9 9 8 8 8 8 9 9 10 11 11 11 12 14 14 14 13 12 11 10 10 9 9 9 9 10 9 8 6 3 1 -1 -1 2 9 15 18 17 13 10 8 8 9 10 10 9 nan
nan 12 11 9 8 6 5 4 5 6 7 7 6 6 6 7 7 8 8 8 8 8 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 11 11 12 13 13 13 14 16 21 25 28 28 23 16 10 6 4 4 5 8 13 19 23 25 25 22 19 15 12 9 6 3 -0 -2 0 6 13 19 22 23 21 19 18 19 19 19 18 16 13 11 10 10 11 12 11 10 9 8 7 6 7 8 9 11 12 11 10 10 8 6 6 5 7 8 8 8 6 5 5 6 7 8 9 9 10 10 11 11 11 10 10 9 8 8 9 9 9 10 10 10 10 10 10 9 8 8 9 10 10 11 11 10 11 11 12 12 13 13 13 12 12 11 10 10 9 9 9 9 9 10 10 11 12 13 14 15 15 14 12 11 10 9 8 8 8 8 8 8 7 5 1 -1 -2 0 7 15 19 19 16 11 8 6 7 9 10 10 10 nan
nan 11 10 9 7 6 5 5 6 8 8 8 7 6 5 6 7 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 13 14 16 20 25 28 28 24 16 10 6 5 5 7 9 13 18 22 25 25 23 19 16 13 10 7 4 1 -1 0 5 11 15 17 18 17 16 17 20 21 20 18 15 12 10 10 10 11 12 11 10 9 7 7 7 8 10 11 12 12 9 7 5 4 4 4 4 6 8 9 9 9 7 6 6 7 8 9 9 9 9 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 9 8 8 8 9 9 9 10 10 11 11 12 12 14 15 15 15 14 13 12 12 11 11 12 11 11 11 10 10 10 11 12 13 14 15 14 13 11 10 8 7 6 6 6 6 5 5 3 1 -0 1 6 15 21 21 18 14 10 7 6 7 9 10 10 10 nan
nan 11 10 9 7 5 4 4 6 8 9 9 8 7 5 5 6 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 11 11 12 12 13 16 20 25 28 27 23 15 9 6 5 5 7 10 14 17 21 24 26 26 23 18 14 10 7 4 1 -1 -1 3 8 11 13 14 13 14 16 20 23 23 21 18 15 13 12 12 11 11 10 10 9 8 9 10 12 14 16 15 11 6 2 1 1 2 4 6 8 9 9 10 9 8 7 7 7 8 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 9 8 8 9 9 10 11 11 10 10 9 10 11 12 12 13 13 14 14 14 14 14 13 13 13 13 13 13 13 13 12 11 10 10 10 12 14 17 19 19 17 15 12 8 6 5 4 3 2 2 3 2 2 6 12 20 22 20 16 12 10 8 8 8 9 9 10 10 nan
nan 11 11 10 8 5 3 3 5 7 8 8 8 8 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 13 16 20 24 27 25 20 14 9 6 4 5 6 10 14 17 20 23 26 27 26 21 14 10 6 3 0 -1 -1 2 7 10 12 12 12 12 14 17 19 21 21 20 18 18 19 18 16 14 12 11 11 11 13 15 17 19 21 18 11 4 -2 -3 -1 3 8 12 13 13 12 10 9 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 8 9 11 12 14 14 13 11 10 9 10 11 11 12 12 13 13 12 12 12 12 13 13 13 13 13 14 14 14 13 12 11 11 12 16 20 25 27 26 23 19 13 8 4 2 -0 0 2 4 5 6 10 16 19 19 16 12 10 9 9 9 9 8 8 9 9 nan
nan 12 13 11 9 6 4 4 5 6 7 7 8 8 7 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 12 15 20 24 27 27 22 15 11 7 5 4 5 9 13 17 19 22 25 27 26 22 16 10 7 4 2 1 1 4 7 10 12 13 12 11 11 12 12 13 13 15 16 19 21 22 21 19 16 14 14 15 18 21 22 23 22 18 8 1 -5 -5 -1 6 14 19 21 19 15 12 8 6 5 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 7 7 8 10 11 13 14 16 16 14 11 9 8 8 9 10 11 11 11 11 11 10 11 12 12 13 13 13 13 14 14 14 13 13 13 15 18 21 25 27 28 26 23 17 10 4 -0 -2 -0 4 8 11 12 14 15 15 13 11 10 9 10 10 10 9 8 8 8 8 nan
nan 15 14 13 10 7 6 5 6 7 7 7 7 7 7 6 7 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 9 9 10 11 13 18 25 28 29 26 19 13 9 7 6 6 9 13 17 20 22 25 27 27 24 20 15 11 9 7 5 4 5 7 10 12 13 13 11 10 9 8 7 7 8 10 14 18 19 19 18 15 13 13 16 20 23 24 23 20 14 5 -2 -5 -5 1 10 18 22 24 22 18 14 9 6 4 3 3 4 6 7 8 9 9 9 9 8 9 9 9 10 10 9 9 8 8 8 8 9 10 11 12 14 16 18 16 13 10 7 6 7 8 9 10 11 11 11 11 10 11 12 12 13 13 13 13 13 13 13 14 16 19 21 21 21 22 22 22 21 16 9 3 -1 -2 2 8 13 16 16 15 13 11 10 9 9 10 11 11 11 10 9 8 8 8 nan
nan 17 16 14 11 8 7 6 7 7 7 7 8 7 6 6 6 7 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 11 11 10 9 9 9 9 10 11 13 17 23 29 30 29 22 15 11 9 7 7 9 13 16 19 21 23 26 27 27 24 21 18 15 12 10 7 6 7 9 10 11 11 10 9 8 7 6 5 6 7 9 11 12 12 10 8 6 7 12 17 22 23 21 16 10 3 -2 -2 -1 4 12 17 19 20 20 18 15 12 8 5 4 4 4 5 7 8 9 9 9 9 8 9 9 10 10 10 10 10 9 9 8 9 9 9 9 10 12 15 17 17 14 11 8 5 4 5 8 10 12 14 14 13 13 12 12 12 12 13 12 12 12 12 13 15 17 20 22 21 18 17 16 16 15 12 7 1 -1 -0 4 10 15 17 16 13 11 9 8 8 9 10 11 12 12 11 10 9 8 8 nan
nan 19 18 15 12 10 8 8 8 8 8 8 8 8 7 5 6 7 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 10 11 11 11 10 10 9 9 9 9 10 12 16 21 28 32 30 24 17 12 10 9 8 9 11 13 15 17 19 20 22 23 23 22 20 17 15 12 9 7 6 7 8 8 8 8 7 7 7 7 6 6 7 7 7 7 6 4 3 2 4 9 15 20 23 22 15 9 4 1 1 3 6 10 13 14 16 17 17 16 14 12 8 6 5 5 6 8 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 9 8 9 11 13 14 14 14 12 10 6 4 4 7 10 13 15 16 16 16 14 13 11 11 11 11 11 12 12 14 15 17 19 20 18 16 13 12 11 11 9 6 2 2 2 5 9 13 14 13 11 9 8 8 8 9 10 10 11 11 11 10 10 9 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
20 18 16 16 16 16 17 18 19 20 18 17 17 15 15 13 14 15 18 21 23 20 16 12 10 10 11 13 15 18 16 15 14 17 21 24 27 24 20 17 16 16 16 14 11 16 21 24 29 36 41 51 66 84 120 139 136 136 138 155 151 143 131 119 113 114 112 96 80 65 49 34 23 15 10 9 6 4 4 3 2 2 2 1 1 1 1 1 0 0 0 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 62 292 563 759 884 835 584 353 224 177 175 188 191 184 259 990 809 593 373 295 270 258 260 296 386 509 621 688 708 725 800 924 1059 1155 1177 1132 1065 1030 1046 1113 1250 1460 1707 1857 1785 1553 1453 1360 1272 1211 1191 1302 1332 1232 1098 1040 1166 1554 1762 1651 1426 1319 1309 1496 1728 1609 1335 1196 1179 1146 1092 1075 1078 1087 1093 1098 1107 1116 1112 1089 1058 1035 1032 1012 983 958 932 902 882 849
17 16 16 16 17 18 20 21 21 21 19 20 20 20 18 14 13 13 15 19 21 19 15 12 8 10 12 13 13 13 13 12 13 19 23 26 28 24 20 17 16 16 15 13 12 14 17 18 20 29 43 59 78 97 120 126 124 124 128 136 139 137 131 125 120 112 97 79 64 55 47 38 27 16 9 8 5 5 5 4 3 2 2 1 1 1 1 0 0 0 0 0 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 2 6 144 444 702 912 1004 869 551 263 161 170 208 231 228 212 209 214 241 236 234 237 244 260 288 334 412 503 583 641 682 732 816 936 1091 1204 1230 1169 1080 1029 1046 1126 1262 1419 1538 1574 1496 1350 1305 1253 1121 993 951 1041 1172 1218 1145 1074 1210 1572 1719 1573 1383 1345 1403 1552 1600 1452 1210 1072 1036 1010 978 946 946 945 949 969 1003 1040 1066 1075 1075 1073 1077 1054 1015 968 909 855 825 801
19 20 21 20 20 21 23 23 21 19 17 18 21 22 20 17 15 14 17 20 21 19 15 11 9 10 12 12 11 10 11 11 11 14 20 26 27 23 20 18 17 16 14 12 11 12 15 16 17 24 40 54 63 70 78 87 97 110 112 116 120 120 117 112 104 90 76 61 50 49 49 43 23 14 14 15 9 5 5 4 4 3 2 2 2 1 1 1 0 0 0 0 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 13 69 311 628 869 1031 1047 851 517 236 147 212 277 294 271 242 226 209 198 202 214 231 257 298 349 405 461 510 550 590 643 719 817 941 1102 1220 1234 1165 1081 1042 1070 1147 1235 1285 1282 1236 1159 1086 1045 1009 930 862 843 975 1158 1245 1196 1129 1186 1378 1451 1395 1365 1416 1498 1533 1333 1136 1042 989 949 908 858 800 760 765 791 835 898 963 1011 1040 1061 1078 1043 1038 1013 961 892 825 783 768
24 25 25 25 24 24 24 23 21 18 16 16 18 14 15 17 16 14 16 20 22 20 15 11 10 10 11 13 11 10 10 11 12 13 18 25 27 24 22 21 19 16 13 12 11 12 14 16 16 18 26 36 37 32 35 51 66 84 70 66 80 95 102 100 98 84 67 54 46 45 40 22 20 19 18 18 16 13 8 4 4 4 3 2 1 1 2 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 44 181 458 733 1034 1163 1090 834 502 253 194 285 358 345 297 260 236 208 189 198 218 249 296 359 428 490 530 539 540 555 599 676 781 909 1051 1168 1197 1157 1101 1067 1069 1086 1087 1062 1049 1023 970 907 853 816 796 811 871 1034 1214 1279 1228 1166 1178 1235 1265 1297 1358 1405 1408 1323 1106 976 953 915 864 802 737 681 656 668 698 747 817 891 947 984 1014 1034 981 984 962 916 853 802 784 778
29 27 28 28 28 27 24 22 21 19 18 19 18 12 13 16 15 14 16 19 21 19 14 11 10 9 10 12 11 9 9 10 11 13 16 22 29 31 29 23 19 15 13 11 10 12 16 17 15 16 16 23 25 18 17 25 33 43 26 25 50 75 85 83 82 74 57 44 33 23 19 25 20 18 12 9 7 6 6 4 4 4 3 2 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 7 70 253 519 794 1115 1265 1112 793 467 271 259 358 420 365 299 257 230 206 196 214 238 283 348 421 490 541 560 544 521 519 548 613 716 838 965 1088 1171 1185 1151 1095 1037 979 922 879 877 874 836 776 710 672 702 821 986 1109 1207 1209 1159 1134 1163 1201 1199 1216 1291 1326 1259 1108 946 877 855 820 773 704 640 607 611 624 632 669 739 817 882 931 971 1002 1012 1015 982 921 848 808 808 803
29 31 36 37 36 33 26 21 19 20 19 19 16 12 12 15 13 14 17 19 19 16 12 9 10 10 11 11 10 10 10 10 11 12 14 20 29 32 29 23 17 13 11 10 9 11 16 16 14 12 12 19 33 33 28 23 18 16 19 36 64 75 77 74 69 60 45 33 22 14 12 14 15 11 11 10 8 5 4 4 4 4 3 3 2 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 0 6 71 272 507 751 1023 1180 977 643 379 264 293 371 395 336 273 238 217 199 197 220 259 313 381 444 488 508 508 494 479 480 503 554 638 737 850 981 1113 1191 1182 1108 1007 911 836 785 757 743 709 651 581 550 625 816 1019 1105 1063 991 958 992 1062 1107 1110 1144 1175 1177 1091 961 859 812 765 719 665 593 553 557 574 570 557 589 664 758 835 889 941 1004 1058 1061 1015 910 819 790 804 794
28 35 42 45 44 38 28 20 18 19 19 16 13 12 12 12 12 16 20 20 17 13 10 10 11 12 12 12 12 11 10 11 12 13 14 21 27 26 24 20 15 12 10 9 9 10 12 12 12 13 16 21 29 31 23 25 25 29 45 62 72 65 65 61 57 51 40 26 15 10 8 10 10 8 9 7 5 4 4 4 4 3 3 2 2 2 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 8 65 298 517 682 796 819 651 406 256 218 261 309 309 264 224 209 201 192 195 219 263 317 371 406 419 422 424 431 439 452 467 505 558 620 703 818 959 1086 1131 1071 967 860 773 708 656 612 575 522 473 468 564 731 873 946 856 760 755 834 942 1025 1105 1229 1062 991 909 819 743 688 635 588 536 489 485 516 542 547 546 569 610 702 770 812 865 936 994 1014 973 850 750 734 760 740
29 34 36 34 33 33 26 19 19 19 18 14 12 12 12 11 14 19 21 20 15 12 10 11 13 14 14 13 11 10 10 11 12 13 14 22 23 21 19 16 13 10 8 7 7 9 10 11 13 14 17 18 16 14 12 16 27 30 32 34 39 38 43 40 38 32 24 17 13 13 12 8 7 6 5 5 4 4 4 4 4 3 3 2 2 2 2 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 2 2 2 2 1 1 2 21 99 390 550 563 517 441 324 200 130 138 174 196 190 171 166 176 184 183 190 216 255 299 338 354 351 354 370 393 410 421 434 461 488 518 560 632 746 878 964 960 878 777 686 612 554 507 464 417 394 415 494 590 645 629 582 552 596 716 860 968 1082 1180 896 759 689 638 585 528 476 442 419 419 448 495 544 564 557 556 557 624 684 728 754 798 861 900 869 767 689 694 719 667
29 28 25 23 24 24 21 17 21 19 16 14 13 12 12 16 17 20 21 19 15 11 10 11 13 14 14 13 10 9 9 11 12 13 15 20 18 16 13 11 10 8 7 7 7 8 9 11 13 14 17 14 11 8 8 10 16 13 11 14 17 19 22 16 15 15 15 15 17 20 19 7 6 5 5 4 4 4 4 4 3 3 3 2 2 1 2 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 0 0 4 38 177 476 532 393 261 175 116 72 53 66 88 94 84 82 101 133 161 180 194 218 251 293 331 348 346 349 361 376 384 390 403 420 427 441 452 482 556 659 751 785 741 655 579 519 472 432 392 353 332 354 406 443 449 428 412 423 502 639 765 827 830 747 540 439 429 446 436 401 364 353 377 422 476 520 536 536 531 520 516 595 788 790 737 725 765 802 783 713 674 695 691 593
24 21 19 18 20 20 16 16 19 18 16 15 15 12 12 16 16 18 19 17 14 12 12 14 15 15 14 12 11 9 9 11 11 11 13 15 13 12 9 8 7 7 6 6 7 7 8 10 12 14 17 15 12 11 11 11 11 11 10 10 11 11 12 11 10 10 17 22 22 20 15 6 5 5 4 4 4 4 3 3 3 3 2 2 2 2 2 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 2 1 0 0 6 56 232 430 351 171 81 40 22 16 16 19 21 24 21 25 48 94 149 192 215 238 274 328 381 409 408 396 385 380 374 370 379 390 388 388 382 392 438 509 576 606 583 523 470 427 390 357 325 295 273 275 305 329 342 339 345 392 504 629 650 584 467 342 257 231 256 302 325 332 351 393 447 492 521 543 543 544 529 513 556 741 1095 930 770 711 717 731 713 670 666 700 648 515
21 18 17 18 21 20 14 15 16 16 16 16 15 14 11 12 13 16 17 15 14 14 14 15 15 15 15 12 11 11 11 11 11 10 10 11 10 8 6 6 6 6 6 5 6 6 6 7 10 13 15 16 13 11 11 11 11 11 10 10 10 10 10 12 15 18 22 25 23 17 9 5 5 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 12 86 244 290 161 51 12 3 1 0 0 0 0 1 2 4 28 90 159 212 251 279 332 413 487 520 506 465 429 414 393 373 369 375 376 368 356 359 390 434 468 480 461 419 375 347 324 292 263 239 218 205 209 229 264 307 370 463 573 629 530 370 250 187 174 192 234 274 308 365 442 509 541 534 514 519 532 549 528 524 664 937 1116 888 712 674 683 679 646 616 656 734 592 441
19 18 17 17 19 17 13 18 17 16 15 16 16 16 14 13 14 16 15 13 14 15 14 13 12 13 13 12 12 12 11 11 10 9 9 9 8 7 6 5 5 6 6 6 6 6 5 6 8 10 12 13 12 10 10 11 11 11 11 10 11 11 12 18 23 25 24 22 20 15 8 5 4 4 4 3 3 3 3 3 2 2 2 2 2 2 1 2 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 9 38 156 246 174 63 12 1 0 0 2 12 14 4 0 2 7 52 128 185 232 283 345 427 535 622 650 615 551 499 475 445 415 401 397 390 376 364 360 374 397 411 411 390 355 320 291 272 244 218 198 185 179 189 227 298 392 495 571 595 540 395 257 202 201 242 297 341 368 393 457 528 561 551 513 480 484 514 508 495 504 711 954 925 719 593 565 564 558 549 578 690 842 554 399
17 15 16 17 16 16 17 18 15 14 14 16 18 20 19 18 18 19 17 14 14 15 14 13 11 10 11 13 14 13 12 10 9 9 8 8 7 6 6 5 5 6 6 5 5 5 4 5 5 7 8 9 9 9 10 11 11 11 11 11 10 11 16 20 22 21 19 16 13 10 6 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 0 7 40 127 294 279 119 31 4 0 0 1 8 60 97 49 2 13 47 121 174 200 240 317 429 553 675 765 794 758 684 617 576 534 505 478 456 432 405 378 356 348 354 368 376 361 327 290 257 240 218 196 180 181 209 269 357 463 560 615 591 511 403 298 241 263 318 383 430 446 438 448 488 522 526 516 512 519 529 510 429 418 445 675 861 796 607 487 433 416 424 467 515 616 801 545 397
15 15 15 16 18 21 20 18 17 16 16 20 21 21 22 21 22 25 21 17 15 14 13 12 10 9 10 12 14 15 12 10 8 8 7 6 6 6 5 5 5 6 6 6 5 4 3 3 4 5 7 7 8 9 10 10 11 11 10 10 10 11 13 13 10 10 11 9 7 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 16 89 246 412 337 106 24 2 0 0 4 25 93 153 65 20 71 139 187 189 190 244 355 503 656 789 888 942 939 869 776 692 629 595 559 519 474 426 385 353 337 333 340 347 339 319 288 258 236 222 206 206 239 311 411 515 598 634 588 481 383 319 303 339 410 469 489 472 438 409 404 419 437 458 496 557 599 573 470 355 361 392 612 798 778 599 434 352 329 332 374 418 480 559 490 370
16 16 16 19 22 23 22 19 18 19 22 28 29 27 24 22 24 32 28 22 16 14 12 11 9 8 8 12 17 18 13 10 8 7 6 6 5 5 5 5 6 6 6 6 5 4 3 4 4 4 6 7 9 9 9 9 10 9 9 9 10 10 8 7 7 6 6 5 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 6 13 40 144 322 449 369 138 35 7 1 0 12 38 58 49 48 120 207 238 212 173 167 235 357 517 684 835 958 1047 1077 1005 882 762 679 635 597 547 496 445 404 382 376 368 348 326 312 308 293 272 258 248 244 277 350 436 500 521 505 478 406 342 319 342 400 471 520 517 472 417 375 352 339 331 337 374 449 537 570 549 480 374 337 318 431 595 680 627 486 356 291 248 228 230 261 313 330 293
16 15 15 16 18 20 21 19 21 24 27 29 29 27 24 21 26 34 32 21 15 12 10 9 9 7 7 11 20 19 14 9 7 6 6 5 5 5 5 6 6 7 7 5 4 4 3 4 3 4 5 6 7 8 7 8 8 8 8 7 8 8 7 6 6 5 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 7 27 60 100 143 224 322 407 353 170 57 13 2 0 7 24 44 64 163 301 326 272 202 162 171 234 340 480 640 798 935 1037 1080 1007 867 748 677 637 601 562 525 480 448 439 443 434 398 345 328 328 322 316 314 314 326 376 448 487 467 398 315 260 266 313 374 441 496 521 499 445 386 343 320 313 310 294 270 278 334 419 442 455 490 492 436 339 319 384 501 631 658 499 268 186 153 133 119 132 168 200
18 15 15 15 16 18 19 20 24 26 28 28 27 24 22 21 26 29 27 19 12 10 8 9 9 9 9 11 16 16 12 9 8 7 6 5 5 6 6 6 6 8 7 5 5 4 4 3 3 3 4 4 5 5 5 6 6 7 7 8 8 8 7 6 5 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 33 104 193 273 314 295 274 324 265 137 50 11 0 0 3 29 95 199 325 369 326 243 195 189 218 271 340 437 568 707 830 918 945 877 779 718 689 672 658 640 614 571 533 514 503 487 456 415 393 403 403 397 393 403 428 464 489 468 402 317 253 245 301 391 466 501 495 461 411 361 322 301 295 303 307 287 248 223 245 292 330 333 393 484 470 361 310 309 408 700 883 693 248 140 117 101 85 80 99 144
18 16 17 17 18 19 21 24 28 31 27 26 24 20 19 20 22 23 22 17 12 11 10 10 10 10 11 14 16 14 11 9 7 7 6 6 6 7 7 7 7 8 8 7 5 5 4 4 3 2 3 3 4 4 5 6 7 7 7 7 8 7 5 5 4 4 4 3 3 3 3 3 2 2 2 2 2 3 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 0 1 0 0 0 0 0 0 56 161 267 325 307 219 173 198 138 62 14 0 0 0 35 125 243 334 355 287 227 211 236 274 315 350 378 418 499 603 698 762 779 750 730 739 762 784 788 774 741 691 639 602 573 549 523 496 482 499 528 526 513 509 514 518 504 468 431 398 363 350 378 426 461 459 423 385 353 333 326 325 322 330 331 318 277 228 221 235 277 301 300 286 277 283 285 283 344 614 881 733 264 134 97 75 62 59 71 110
17 17 18 18 18 18 22 27 32 32 27 26 24 20 19 18 18 16 18 14 12 11 10 11 10 9 9 11 13 14 12 9 7 7 7 7 8 8 8 7 7 7 8 6 5 5 4 3 2 2 4 3 4 5 6 7 7 7 7 8 7 6 5 5 4 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 2 1 1 2 2 2 2 2 1 1 2 1 1 1 1 2 0 0 0 0 1 9 51 126 177 178 137 94 80 82 40 15 3 1 8 45 144 285 366 357 287 212 206 256 330 381 417 427 418 415 445 510 579 636 669 691 733 808 870 896 894 868 824 771 726 702 678 648 620 592 584 619 676 671 632 593 561 535 510 496 519 541 509 449 404 393 402 403 389 379 377 388 409 426 422 430 435 366 332 304 244 232 258 281 282 267 250 245 251 260 293 404 597 567 317 183 100 58 44 46 55 80
18 18 21 20 18 17 20 26 33 31 26 25 27 23 21 18 14 12 13 11 11 10 10 9 9 9 10 11 12 13 12 9 7 7 7 8 9 9 8 7 6 7 7 6 5 5 5 4 3 4 5 5 6 6 7 7 8 7 7 7 6 6 5 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 2 3 3 3 3 1 0 0 1 1 1 1 1 1 1 1 2 2 1 1 1 0 0 0 0 5 17 40 66 67 52 37 36 49 57 28 14 12 28 86 185 295 376 355 307 274 265 289 341 402 435 452 441 413 390 397 435 495 558 609 662 734 830 912 934 918 881 832 785 754 749 767 786 773 733 711 729 750 720 658 610 560 510 467 457 499 565 549 482 422 397 402 411 420 431 450 474 491 488 464 466 386 352 344 328 286 260 262 278 283 270 249 232 227 234 249 285 352 399 360 246 117 40 29 41 56 70
21 21 25 24 23 22 22 24 32 30 26 24 24 22 21 16 11 9 9 10 11 10 10 10 10 10 11 12 11 11 10 8 7 7 7 8 8 7 7 7 6 7 7 5 5 5 4 3 3 4 5 5 6 7 8 8 8 7 6 6 5 5 5 4 4 3 3 3 3 3 3 3 2 2 3 3 3 2 2 3 3 3 3 2 1 1 1 0 0 1 1 1 1 1 5 16 24 15 3 1 2 4 8 16 29 39 36 20 6 10 56 133 171 139 102 95 154 256 331 357 336 292 299 331 348 349 361 391 418 439 431 405 381 378 400 448 509 565 617 676 746 813 855 856 832 805 784 776 793 853 950 975 900 816 764 726 666 591 546 498 429 363 329 345 418 460 449 430 426 432 441 455 476 501 518 521 520 516 481 384 353 333 317 300 285 279 285 292 286 271 256 247 240 229 254 296 373 363 252 114 29 11 27 53 71
26 25 26 28 26 24 26 27 28 33 26 22 20 18 17 15 10 8 9 10 11 11 9 8 8 9 10 9 9 10 8 7 7 7 6 7 6 6 6 6 6 7 5 6 6 5 4 3 4 5 5 6 7 7 8 9 8 6 5 5 5 5 4 4 3 3 3 3 3 2 3 2 2 2 3 3 3 2 2 3 3 3 2 2 1 1 1 1 1 1 1 1 0 3 13 41 69 43 17 12 25 43 65 99 118 100 57 18 7 32 172 307 362 333 277 242 285 329 329 311 290 289 325 351 336 310 312 344 390 434 444 426 405 390 394 420 465 514 554 588 620 660 699 724 734 752 785 828 889 986 1099 1109 984 817 697 621 557 495 455 421 362 297 259 272 337 411 437 439 437 443 457 469 475 490 505 492 466 426 369 342 340 333 321 309 296 284 275 273 273 272 283 292 285 263 267 278 316 296 213 113 47 25 31 51 72
26 23 23 24 22 21 27 35 36 31 26 18 16 16 15 14 12 12 12 12 12 9 6 5 6 7 7 8 9 8 7 6 6 6 5 6 6 6 5 5 5 5 5 6 5 4 4 4 5 6 6 7 8 8 8 8 8 5 4 4 5 4 4 3 3 3 3 2 3 3 2 2 2 2 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 0 0 2 10 28 59 94 64 40 47 87 144 203 264 262 197 106 44 43 111 314 449 462 409 336 273 249 250 255 256 258 265 273 258 239 243 266 302 345 386 401 386 371 358 357 372 405 447 493 523 537 551 573 599 625 666 737 823 920 1033 1113 1072 875 681 555 484 441 406 380 369 351 318 309 345 406 444 460 447 444 449 450 441 425 418 435 422 391 355 327 319 321 321 315 306 293 280 268 259 258 265 273 286 285 265 248 236 229 207 166 114 66 42 42 53 78
23 19 23 24 23 22 27 30 29 27 24 19 18 18 16 15 15 17 19 17 13 9 6 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 4 3 4 5 5 6 6 7 8 8 8 8 7 5 4 4 4 4 3 3 3 2 3 2 2 2 2 2 1 2 3 3 2 2 2 2 1 1 0 0 0 0 0 4 10 13 16 26 34 41 53 69 80 62 55 75 126 184 234 260 238 179 111 74 102 200 343 427 361 302 256 225 213 215 211 195 176 161 143 129 152 220 254 244 233 232 232 220 211 217 240 276 326 385 452 493 503 509 513 520 532 556 606 681 780 893 968 954 833 580 415 337 302 289 299 340 386 395 399 434 469 470 458 436 424 411 393 369 345 329 327 315 300 289 283 281 277 276 276 273 268 264 263 260 254 250 245 251 249 233 211 191 182 175 156 120 75 42 35 42 70
19 17 21 25 23 25 30 29 25 22 20 22 22 18 19 16 15 18 21 19 13 10 7 6 6 6 6 5 5 4 5 5 5 5 4 4 3 3 3 3 3 3 4 4 3 3 4 5 6 6 7 8 8 8 8 7 6 5 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 1 2 2 3 2 2 1 1 0 0 0 0 3 19 44 74 98 116 131 128 107 85 68 56 48 47 55 70 83 92 100 104 87 72 84 138 209 253 257 233 223 220 215 202 178 139 98 67 51 38 40 78 158 181 135 92 68 58 54 49 61 92 142 217 312 404 457 460 455 453 456 461 467 480 520 598 694 730 764 771 525 304 201 162 169 223 317 420 446 444 459 460 440 414 393 373 352 326 297 269 249 239 230 227 226 226 226 226 231 237 238 239 243 249 251 240 225 218 225 229 221 204 187 181 181 167 132 80 39 33 44 73
17 16 17 21 20 27 29 27 24 23 20 21 20 20 19 15 13 14 15 14 11 11 8 7 6 6 5 5 4 3 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 4 6 6 7 8 8 8 8 7 5 4 4 4 4 3 3 3 3 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 2 11 40 103 158 212 261 277 256 221 172 110 62 39 29 23 17 10 6 8 17 36 49 62 96 154 202 231 239 234 226 209 183 148 108 71 41 21 16 5 0 13 41 53 34 14 3 0 0 0 2 12 39 95 197 311 381 385 368 365 382 412 439 449 451 452 479 476 481 477 370 210 115 87 105 175 287 395 429 438 430 410 377 344 327 315 294 264 233 203 182 170 161 161 164 167 170 178 191 203 209 213 219 229 233 225 210 205 218 239 249 240 221 207 201 183 147 95 52 41 60 98
17 16 18 21 24 29 27 24 23 23 22 22 22 18 15 13 12 11 11 11 11 10 9 7 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 4 5 6 6 7 7 7 7 6 6 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 2 1 1 0 0 0 1 9 44 121 217 264 287 315 318 284 237 177 104 39 16 7 4 2 1 0 8 22 37 52 70 97 139 173 196 194 182 162 132 99 71 53 46 43 39 37 5 0 0 1 4 3 0 0 0 0 0 0 0 4 18 82 190 271 278 250 246 288 364 441 465 407 285 222 207 228 236 203 131 66 58 91 176 287 378 400 386 345 316 287 260 241 227 212 192 170 146 129 116 107 108 114 120 125 132 142 153 163 174 183 195 205 205 200 200 216 242 254 245 224 207 202 190 161 116 76 60 76 115
18 19 20 27 29 26 25 24 23 21 19 18 20 15 11 11 10 10 10 11 11 10 8 6 5 4 4 4 4 4 3 3 3 2 2 3 3 2 2 2 2 3 4 3 4 5 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 2 3 3 3 2 2 2 2 2 2 1 2 2 2 2 1 1 0 0 0 1 7 31 86 185 246 230 188 158 159 162 145 107 55 6 1 0 0 0 0 1 13 26 35 43 49 57 68 73 63 59 56 50 37 23 18 19 26 34 39 35 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 97 152 153 132 136 180 265 356 372 285 147 76 65 84 100 96 73 54 64 124 234 323 363 348 296 242 211 186 165 151 142 134 127 119 105 91 78 67 66 67 76 78 74 74 82 96 111 119 132 149 164 174 183 193 201 197 184 173 172 179 185 171 138 104 84 88 115
19 21 22 22 23 22 21 22 21 20 18 15 12 11 10 11 9 9 10 11 11 8 6 5 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 4 5 7 7 7 6 6 5 4 4 3 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 2 2 1 1 1 0 0 0 3 16 52 118 205 201 132 61 24 19 31 35 27 11 0 0 0 0 0 0 1 7 13 17 21 20 17 13 11 2 4 5 3 1 0 0 0 2 6 11 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 47 61 47 30 40 76 148 203 194 129 54 14 5 21 41 57 70 84 114 175 270 312 310 263 195 145 115 95 81 75 76 80 86 87 79 66 51 39 31 26 28 26 19 17 22 31 39 45 55 83 116 142 155 155 144 132 126 129 141 158 176 174 142 112 92 93 111
20 21 22 20 21 20 17 17 20 23 21 17 14 12 12 10 7 9 12 13 10 5 2 3 3 3 3 3 4 3 3 2 2 2 2 2 2 2 2 2 3 3 5 6 7 7 7 6 5 4 3 3 3 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 1 0 0 0 2 17 56 125 209 164 75 17 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 2 4 4 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 1 15 13 5 0 5 21 57 82 69 36 9 1 0 2 34 77 114 140 166 204 248 259 215 154 100 66 44 31 24 24 29 41 56 65 63 45 28 16 8 3 1 0 0 1 2 4 5 7 12 46 92 126 136 124 109 110 124 143 156 162 165 155 120 94 81 85 98
20 18 17 17 19 20 20 24 27 24 20 17 17 16 12 8 7 11 13 13 10 7 3 4 3 4 5 5 4 3 3 2 2 2 2 2 2 2 2 3 4 6 6 8 7 6 6 5 3 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 1 1 0 0 0 3 22 68 140 205 156 57 16 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 1 1 0 0 1 6 15 19 14 5 1 0 0 5 39 93 134 163 191 217 228 194 116 65 35 18 9 4 2 1 4 11 19 27 32 24 14 7 3 1 0 0 0 0 0 0 1 2 9 41 85 108 108 99 106 140 189 210 194 161 130 107 80 61 51 53 59
18 17 16 17 19 23 28 22 18 19 19 18 17 15 10 7 8 10 12 11 9 9 10 8 5 4 5 5 4 3 3 3 3 3 3 2 2 2 2 3 5 7 7 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 2 2 1 1 0 0 1 1 0 0 0 2 16 59 123 188 203 133 43 24 21 18 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 2 1 0 0 0 0 1 10 39 86 133 181 211 197 129 48 17 6 2 1 0 0 0 0 0 0 7 15 13 9 6 3 2 1 0 0 0 0 0 0 4 15 38 67 83 85 87 109 153 185 241 199 129 75 51 39 26 17 14 15
18 16 14 16 21 29 33 21 13 16 19 17 13 10 8 8 8 8 9 10 10 13 15 13 9 5 5 5 4 4 4 4 3 3 3 3 2 2 2 3 4 6 6 6 6 6 5 5 6 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 1 1 0 0 2 15 54 130 209 222 163 84 36 34 53 64 55 33 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 1 1 1 0 0 0 0 0 0 0 1 6 26 72 135 149 116 57 13 2 0 0 0 0 0 0 0 0 0 2 6 5 4 3 1 0 0 1 0 0 0 0 0 2 9 24 52 83 105 113 113 122 145 164 132 81 38 17 10 6 2 0 0
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15 15 18 21 20 18 20 20 22 17 14 13 14 14 12 10 8 8 7 9 11 11 11 10 11 9 10 12 12 12 10 9 9 8 7 5 5 5 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 1 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 6 35 79 96 80 44 8 1 2 19 49 76 88 81 56 26 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 5 5 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 2 9 21 33 39 41 44 43 33 18 7 2 0 0 0 0 1 3 21
17 18 21 19 17 15 17 21 20 12 12 15 17 15 11 9 9 8 7 7 7 7 7 8 9 9 11 13 12 11 10 10 10 8 7 7 7 7 7 6 6 6 6 6 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 2 1 12 39 76 98 79 40 12 0 0 0 6 35 56 59 47 25 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 3 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 1 3 7 9 9 10 16 15 6 1 0 0 0 0 0 3 12 58
19 18 19 18 16 15 16 15 12 11 14 15 14 12 9 8 9 8 6 6 6 6 6 7 7 8 9 9 10 10 9 9 9 8 7 7 7 7 7 6 6 6 6 5 4 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 2 6 11 7 37 70 82 70 40 9 2 0 0 0 2 23 38 34 21 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 0 0 0 0 0 2 17 73
20 19 17 17 19 18 15 12 12 13 14 12 11 10 9 9 9 8 6 6 5 5 6 8 8 9 10 11 12 11 9 7 7 6 5 6 6 5 5 5 6 6 5 4 3 4 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 2 8 16 18 15 14 17 51 58 48 30 11 0 0 0 0 0 3 13 27 22 11 3 3 8 13 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 10 43
21 19 18 18 17 15 12 10 14 15 13 10 9 10 10 10 9 8 8 6 5 5 7 8 9 11 13 13 11 9 8 6 5 5 4 5 5 5 4 5 5 5 4 4 4 4 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 0 0 8 21 37 43 19 7 3 20 54 50 26 9 1 0 0 0 0 0 6 14 22 22 12 3 14 40 50 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 3 11
19 18 15 17 15 12 11 13 17 15 11 10 10 11 11 10 8 7 8 6 6 6 7 9 10 10 11 10 7 5 5 5 4 4 4 5 5 4 5 5 5 4 3 4 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 20 44 57 40 4 3 10 58 97 72 28 6 1 0 0 0 0 0 10 18 17 11 4 1 23 71 77 16 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 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
17 17 18 16 14 15 15 16 17 15 11 13 13 13 12 11 8 8 8 9 11 10 9 9 9 8 7 6 5 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 11 19 16 8 6 18 52 115 137 102 38 6 1 0 0 0 2 7 19 22 18 11 3 1 19 78 124 81 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 15 16 16 19 20 17 16 14 13 17 15 12 11 10 8 8 9 12 15 15 13 10 8 7 6 5 4 5 5 5 4 3 3 4 4 4 5 6 5 4 4 4 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 2 2 1 6 22 49 87 102 84 51 20 3 0 1 1 3 13 28 39 34 25 15 5 4 22 92 212 141 35 8 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
14 13 14 19 20 19 18 16 14 14 15 16 13 11 10 9 10 11 12 15 16 14 12 9 9 9 7 6 5 7 7 6 4 3 3 4 5 4 5 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 7 26 49 61 39 18 7 5 4 5 7 9 15 31 47 51 40 25 12 4 7 35 99 210 100 27 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 0 0 0 0 0 1 2
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23 21 18 14 15 14 13 13 14 15 14 14 13 11 9 10 13 16 15 13 11 8 9 10 10 9 6 6 8 7 5 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 5 15 25 19 11 7 10 15 24 33 41 49 55 54 40 30 21 12 4 2 6 14 20 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 10 9 17 30
33 24 21 16 12 13 14 15 16 15 13 14 13 12 10 10 11 14 13 12 11 10 10 10 9 7 6 7 10 6 5 5 5 4 4 4 3 3 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 3 8 2 1 4 5 6 7 9 14 16 11 9 10 14 23 35 45 51 54 55 52 34 21 11 6 7 19 42 55 40 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 21 25 34 56 79
28 22 19 15 12 12 15 17 16 14 13 13 12 13 13 13 13 12 12 13 12 11 11 10 7 6 7 9 9 4 5 6 5 5 5 5 3 3 4 3 4 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 1 3 18 66 114 111 63 37 35 33 27 20 11 7 8 11 19 31 43 52 54 53 50 46 35 16 6 6 15 47 101 144 104 32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 8 21 37 56 82 117 140
20 19 19 18 13 13 15 16 15 14 15 14 13 12 13 15 15 15 13 12 11 11 10 8 7 7 8 9 7 5 7 8 6 5 4 4 3 6 5 4 4 4 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 6 29 95 61 43 40 46 63 64 43 20 7 4 5 10 20 32 44 53 56 54 50 45 35 17 10 15 17 43 99 149 113 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 5 0 0 2 7 12 14 23 39 64 99 142 186 201
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23 20 18 17 21 23 22 16 13 13 15 16 17 11 11 12 13 12 12 13 12 10 8 9 10 8 6 5 6 9 7 5 5 6 6 5 5 4 4 4 4 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 8 15 15 9 0 0 0 0 1 4 9 18 36 60 81 91 88 102 142 205 202 115 25 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 0 0 0 0 0 2 9 26 27 18 20 41 99 172 244 300 319 284 232 195 185 185 174
25 22 19 18 22 22 19 15 13 14 14 14 13 12 15 14 13 13 13 12 10 10 10 10 10 7 6 6 7 8 6 4 5 6 6 5 5 4 4 4 4 3 3 3 3 3 2 2 2 1 1 1 1 1 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 1 8 26 55 81 91 94 112 134 233 213 117 26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 20 18 21 37 75 132 195 254 296 304 284 247 230 201 169
23 20 20 20 20 18 14 13 15 15 14 11 11 14 15 13 12 11 11 10 10 10 11 10 9 7 5 7 8 7 5 4 7 7 6 5 5 5 3 4 4 3 3 3 3 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 4 18 43 69 76 83 104 138 223 162 74 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 13 16 14 11 13 21 38 52 55 60 95 182 238 239 213 181
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