Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 8 8 7 8 8 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 10 13 16 14 9 5 6 10 14 14 9 3 1 1 4 6 7 7 7 7 7 7 8 8 8 9 10 10 9 9 8 7 6 6 7 9 10 11 10 9 8 7 7 7 7 7 7 6 5 4 5 5 6 5 4 3 4 5 6 7 8 8 8 7 6 5 5 6 6 5 4 3 4 4 4 4 5 5 6 7 7 6 6 6 6 6 7 8 9 9 8 7 8 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 5 5 5 6 7 7 7 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 10 12 13 14 12 7 4 7 13 16 14 8 3 2 3 6 7 7 7 6 7 7 7 7 8 9 9 10 11 10 8 6 5 5 6 7 9 10 10 10 8 8 7 7 7 7 6 5 4 4 4 4 4 5 5 4 5 6 7 8 8 8 9 9 8 7 6 7 6 5 3 3 3 4 5 5 5 5 6 7 7 6 6 6 6 6 6 7 8 8 8 8 8 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 7 5 3 2 4 6 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 9 10 12 13 12 9 6 5 9 16 19 15 8 3 3 5 7 7 7 6 6 7 7 7 7 8 9 10 10 10 9 7 6 5 5 6 7 8 9 9 9 8 8 8 8 7 6 6 5 4 4 4 5 5 5 6 8 9 10 10 9 9 10 10 10 9 9 9 8 7 5 3 3 4 5 5 6 6 8 8 8 7 6 5 5 5 6 6 7 8 8 7 8 9 10 11 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 8 7 5 3 3 4 6 7 7 7 7 7 7 8 8 7 7 8 8 8 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 11 11 10 9 7 8 13 18 18 14 7 3 3 5 7 7 7 6 7 7 7 7 8 8 9 9 9 8 7 5 5 5 5 5 6 7 8 8 8 9 9 9 8 7 6 5 5 5 5 5 5 5 6 9 13 14 12 10 8 9 10 12 12 12 11 10 8 6 4 5 5 5 5 6 7 8 10 11 10 8 6 5 5 6 6 7 9 9 8 7 7 10 12 12 nan
nan 7 7 7 8 8 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 9 9 9 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 8 8 8 8 7 6 5 5 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 9 10 11 13 15 16 14 10 5 3 3 5 6 6 6 7 7 7 7 7 8 8 9 8 8 6 5 4 4 4 5 5 6 6 6 7 8 8 9 9 8 8 6 6 5 5 5 6 5 5 6 10 14 14 11 8 7 8 11 13 14 14 12 9 6 4 5 6 6 6 6 6 7 9 12 12 11 9 7 6 6 6 7 8 9 9 8 7 7 10 12 12 nan
nan 7 7 7 8 8 9 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 10 11 10 7 6 9 13 16 18 16 13 8 5 3 3 3 4 5 6 6 7 8 7 7 7 7 8 8 7 6 6 5 4 4 5 5 5 5 5 5 6 6 7 7 8 8 7 6 6 5 5 6 6 5 5 6 10 12 10 8 7 7 8 10 13 14 12 8 5 3 4 5 6 6 6 5 5 6 8 11 12 11 9 7 7 8 8 8 7 8 8 7 6 7 9 10 10 nan
nan 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 6 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 11 12 10 8 6 8 15 21 21 16 9 5 3 3 4 4 5 5 6 6 7 8 8 8 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 5 5 5 7 8 9 8 7 6 6 7 9 11 11 7 3 1 2 3 5 6 6 6 5 5 5 7 9 11 12 10 9 11 13 12 10 8 6 6 5 6 7 9 9 8 nan
nan 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 11 12 11 8 6 8 16 22 20 13 7 4 3 4 5 6 6 6 6 7 8 9 9 8 7 7 8 9 9 8 7 6 6 5 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 6 6 5 5 6 7 7 7 6 6 5 5 6 8 8 6 3 1 1 3 4 5 6 7 7 7 7 6 7 9 12 13 13 13 17 20 18 13 9 6 5 4 5 8 9 9 7 nan
nan 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 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 7 7 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 11 12 12 9 7 8 15 19 16 10 6 4 4 5 5 6 6 6 6 7 8 9 8 7 7 8 9 11 11 10 8 7 6 6 6 7 7 7 6 6 5 4 4 4 4 5 5 5 5 6 6 6 5 5 6 6 6 6 5 4 4 4 5 6 6 4 2 3 5 6 6 5 5 7 9 10 9 7 7 8 11 12 13 16 21 24 22 16 10 7 5 5 6 9 10 9 6 nan
nan 8 9 9 9 9 9 10 10 10 10 10 9 9 10 10 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 8 8 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 11 12 10 8 9 13 14 11 7 5 4 4 4 5 6 6 7 7 8 9 9 7 6 6 8 11 12 13 11 9 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 6 6 6 6 6 5 6 6 7 7 6 5 5 4 5 4 4 3 4 7 9 10 9 6 5 6 9 10 10 8 7 7 8 8 10 15 20 22 20 15 10 7 6 7 9 11 11 9 5 nan
nan 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 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 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 11 11 11 11 11 11 12 11 11 10 10 10 10 10 11 12 10 7 5 5 4 3 3 5 6 7 8 9 9 9 8 6 5 6 9 12 13 13 12 10 8 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 6 6 6 8 9 11 11 9 7 5 4 3 3 5 7 11 13 14 11 7 5 5 7 9 11 10 9 8 6 5 7 12 17 17 14 10 7 7 7 8 10 13 12 8 4 nan
nan 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 11 13 14 13 13 12 12 13 13 12 10 8 7 7 11 12 11 8 6 6 5 4 2 2 5 8 11 12 12 10 8 6 5 5 6 8 11 12 13 12 10 8 7 6 7 8 9 9 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 10 13 15 15 13 8 5 3 2 4 7 10 13 15 15 14 11 8 6 6 8 11 12 11 10 7 4 5 9 12 12 9 5 4 5 6 8 11 13 12 7 3 nan
nan 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 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 7 7 7 8 9 10 11 10 10 11 11 12 14 15 14 11 6 2 2 6 11 11 10 9 7 5 3 1 1 6 12 15 16 13 9 6 5 4 4 5 7 9 10 11 10 9 7 5 5 6 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 8 9 11 13 14 14 12 8 4 2 3 5 8 11 13 15 16 17 16 13 10 7 7 8 10 11 10 9 7 5 8 9 8 6 3 2 3 5 7 9 11 11 7 3 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 8 8 7 7 7 8 10 11 12 13 15 15 13 6 -1 -3 1 9 13 13 10 6 3 1 1 4 9 15 18 17 12 8 5 5 5 5 4 5 7 8 9 8 7 5 4 5 6 8 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 7 8 8 9 9 10 10 9 8 6 5 5 7 9 11 13 16 17 19 19 18 14 9 5 4 5 7 9 11 10 10 10 10 8 5 3 2 2 2 4 6 9 9 8 5 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 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 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 8 8 10 13 14 12 10 9 11 13 15 11 3 -2 2 11 15 12 7 2 1 2 6 10 14 17 16 13 9 7 6 6 7 6 5 5 5 6 7 7 6 5 5 6 8 10 10 11 10 10 10 10 10 9 8 7 7 7 7 6 6 6 7 8 7 6 6 6 7 8 10 10 9 8 9 10 12 14 16 17 19 21 20 17 11 5 2 3 5 7 10 12 14 15 14 11 8 6 3 1 -0 2 4 7 8 9 8 nan
nan 9 9 9 10 10 10 11 11 11 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 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 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 8 8 8 9 10 10 11 10 10 10 9 9 9 9 9 9 10 13 16 18 17 11 4 1 3 8 13 15 11 7 9 16 15 8 2 0 3 8 12 16 17 15 11 8 7 7 7 8 8 7 6 5 5 5 6 5 5 5 7 9 11 12 12 12 11 10 10 9 9 8 7 7 8 8 8 7 7 7 9 9 8 7 6 5 6 7 10 11 11 10 10 12 13 14 15 16 19 21 21 18 13 7 5 5 6 7 8 10 13 16 16 15 12 9 5 2 0 2 4 6 7 9 11 nan
nan 9 9 9 10 10 11 11 11 11 11 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 8 9 9 9 9 9 8 8 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 9 11 12 13 14 14 13 12 10 10 11 12 13 13 14 14 15 17 17 13 8 1 -3 -2 4 11 16 17 16 16 17 13 7 3 5 10 15 17 17 15 11 8 6 7 7 8 9 9 8 7 6 6 5 5 4 5 6 8 11 12 13 12 11 10 9 8 8 7 7 6 7 9 10 10 9 9 9 10 11 11 10 9 8 7 7 8 9 10 9 10 10 11 12 14 15 17 18 17 14 11 9 9 8 9 9 9 9 11 14 16 18 17 13 8 3 2 2 4 5 7 9 11 nan
nan 9 9 9 10 11 11 11 11 11 11 10 10 9 10 10 11 11 11 11 10 10 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 12 13 14 14 13 12 10 11 13 17 20 22 21 18 16 15 13 11 7 4 2 2 5 12 17 20 19 15 12 11 10 11 14 17 19 17 14 11 9 8 8 8 8 8 9 9 8 7 7 6 5 5 4 5 6 8 11 12 12 11 10 8 7 7 7 7 7 7 8 10 12 12 11 10 10 11 11 12 13 14 13 11 8 7 8 8 8 8 8 9 10 12 13 12 11 9 7 7 8 10 10 10 10 10 10 11 12 14 16 16 13 8 2 -1 -1 2 5 7 9 11 nan
nan 9 9 10 10 11 12 12 12 11 11 10 10 10 11 11 11 11 11 11 10 11 11 11 11 10 10 9 9 9 9 8 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 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 11 13 15 19 23 26 24 20 17 14 13 12 11 11 11 10 11 14 18 19 17 13 10 12 16 18 20 20 17 13 9 8 8 9 9 8 7 8 8 9 8 8 7 6 5 5 5 5 6 7 8 9 9 9 8 7 7 7 8 8 8 8 9 11 13 13 11 10 10 10 10 12 13 15 15 14 11 9 9 9 9 9 9 9 9 10 8 6 3 2 2 4 7 9 10 9 9 9 10 10 11 11 11 9 7 3 -2 -7 -6 -2 4 8 10 12 nan
nan 10 10 10 11 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 8 8 8 7 6 8 12 15 16 15 16 19 20 19 16 13 12 11 13 15 17 19 18 16 15 17 18 18 17 14 15 17 18 17 16 13 9 6 6 6 6 6 5 6 7 8 9 9 9 8 6 6 5 5 5 6 6 6 7 7 7 7 7 7 8 9 11 10 10 9 10 12 12 11 10 9 8 8 9 11 14 16 16 13 11 10 9 9 9 9 9 8 7 5 2 1 1 3 4 6 7 7 7 6 7 8 9 10 9 7 4 3 1 -3 -7 -7 -4 1 5 8 11 nan
nan 10 10 11 11 12 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 12 14 15 15 14 13 12 12 14 19 21 20 17 15 14 15 13 10 7 7 9 13 18 22 25 23 20 17 17 22 26 24 19 14 12 11 10 9 8 6 5 4 4 4 3 3 5 6 8 9 10 9 8 7 6 6 5 5 6 6 6 5 5 5 6 7 8 9 11 13 13 11 9 9 10 11 10 10 8 7 7 7 10 13 16 15 12 10 8 8 8 8 8 7 6 4 2 2 2 4 5 5 5 5 4 4 4 5 6 7 9 9 8 6 5 5 3 2 0 -1 -1 1 4 7 nan
nan 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 10 9 9 9 10 12 16 19 22 22 21 19 18 18 19 21 25 26 23 20 18 16 14 9 5 3 5 11 18 25 29 30 27 23 21 22 27 31 26 18 11 8 7 6 6 5 4 3 3 3 4 5 5 5 6 7 8 8 8 8 7 7 7 6 6 6 6 6 5 5 5 5 6 8 10 13 16 16 12 8 7 8 10 11 11 11 10 8 8 10 12 13 11 9 7 6 5 5 5 6 5 4 3 3 3 4 5 5 5 4 4 4 3 4 4 4 5 6 9 11 12 13 13 12 11 8 4 1 0 2 4 nan
nan 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 11 16 20 23 24 22 18 16 16 17 19 21 23 23 22 21 21 20 16 12 8 7 11 17 24 30 32 30 26 23 22 24 26 25 19 12 8 7 6 6 4 3 2 2 3 5 8 11 11 9 7 6 6 6 6 7 7 8 8 8 8 8 7 6 5 5 4 4 5 7 10 14 18 18 13 7 5 5 7 10 12 14 14 13 13 12 12 10 7 5 4 4 4 4 4 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 6 9 12 15 17 18 16 14 10 6 3 2 4 6 nan
nan 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 15 19 20 19 15 11 9 11 13 15 17 17 17 18 20 22 22 21 19 17 16 18 21 25 26 26 23 20 18 19 20 19 15 11 8 7 6 6 5 4 2 2 2 3 7 11 16 16 12 8 6 5 5 5 5 6 7 9 10 10 9 7 6 5 4 4 5 5 7 9 13 16 16 13 7 3 2 4 8 11 15 17 17 16 13 10 7 5 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 10 13 15 17 17 15 12 9 5 4 4 6 9 nan
nan 10 11 11 12 12 12 12 11 11 11 12 13 13 13 12 12 12 12 12 11 11 10 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 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 12 14 14 13 10 7 6 7 10 13 16 17 18 20 22 23 23 22 22 21 20 19 19 19 18 16 14 13 13 14 14 13 10 9 8 7 6 5 5 4 4 4 4 4 6 9 12 13 11 8 5 4 4 4 5 6 7 8 10 11 10 8 6 5 5 6 8 9 10 10 11 12 11 10 6 2 1 2 5 10 14 17 16 13 10 8 5 4 4 4 5 5 5 5 5 5 6 7 8 8 8 8 8 9 9 9 10 10 10 10 9 10 10 11 12 12 12 12 11 9 7 5 4 4 7 10 nan
nan 10 10 11 12 12 12 12 11 11 12 12 13 13 13 13 12 12 12 11 11 10 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 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 11 11 11 10 9 9 10 11 11 9 6 4 6 9 13 18 21 24 25 25 23 20 17 16 16 15 14 14 13 12 11 10 9 9 9 10 9 9 9 8 6 5 5 4 4 5 7 8 7 5 4 5 6 6 5 4 3 4 5 6 7 8 8 11 13 13 10 6 5 7 11 14 16 16 12 9 7 6 5 3 1 0 2 5 10 14 15 12 7 5 5 4 4 4 5 5 5 5 5 6 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 7 7 7 7 6 5 4 4 6 7 nan
nan 10 10 11 12 12 12 12 12 11 12 12 13 13 13 12 12 12 11 11 10 9 8 8 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 8 9 10 11 11 9 5 3 5 10 13 15 19 23 23 21 17 13 10 8 9 9 9 10 10 10 9 8 7 7 6 7 7 7 7 6 5 4 4 3 4 5 8 10 11 7 4 2 2 2 2 2 3 5 8 10 12 13 14 17 19 17 12 8 8 11 17 21 22 19 12 6 4 4 3 2 1 1 3 6 10 13 11 7 3 2 3 4 5 5 5 6 6 6 6 6 7 7 8 9 10 11 11 10 10 10 10 9 10 10 11 12 13 13 11 8 7 6 7 8 8 7 6 5 5 5 6 nan
nan 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 9 9 8 8 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 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 12 12 12 10 7 4 3 7 12 12 10 9 11 12 10 8 8 8 7 6 6 6 8 9 10 9 8 6 6 5 5 5 5 4 4 3 4 3 3 4 6 9 12 14 12 7 4 2 1 0 1 2 6 10 15 19 21 23 25 25 22 15 11 11 15 20 24 23 17 9 5 5 7 8 7 6 6 6 9 10 10 6 3 1 1 2 4 5 6 7 7 7 7 7 7 7 7 8 8 9 10 11 11 10 10 9 9 10 11 13 14 15 14 12 11 11 12 13 12 11 9 7 6 6 6 6 nan
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nan 12 11 10 10 10 9 7 4 2 2 5 7 9 9 7 5 5 5 6 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 14 19 24 25 23 17 10 7 5 4 5 7 10 13 15 16 17 19 21 21 20 19 17 15 13 12 11 12 12 11 9 7 6 5 5 6 7 8 8 8 8 8 8 9 10 10 9 9 8 7 7 9 10 11 11 10 9 7 6 5 5 4 4 4 4 4 4 5 5 7 8 9 9 9 9 8 9 9 10 11 12 12 12 12 12 12 11 11 10 9 9 10 10 11 11 11 11 12 13 14 16 17 17 15 12 10 9 9 9 10 11 11 9 8 7 6 6 7 9 10 11 11 11 11 11 11 13 15 15 15 15 16 16 17 17 16 14 13 12 11 10 9 9 8 7 7 6 5 5 6 11 15 17 16 12 8 4 3 4 6 nan
nan 12 10 10 9 9 9 7 4 3 3 5 8 9 9 7 5 5 5 6 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 14 19 24 24 21 15 10 7 5 4 4 6 10 13 16 18 20 21 23 22 19 16 12 10 8 7 7 8 9 10 9 8 7 7 8 9 11 12 12 12 12 11 11 10 9 9 8 8 7 7 9 11 12 13 13 12 10 8 7 6 6 5 5 5 5 5 4 4 4 6 7 9 11 11 10 10 10 10 11 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 10 11 12 12 13 14 16 17 16 14 12 10 9 9 10 11 11 10 8 7 7 7 8 10 12 13 13 13 12 12 12 14 15 14 13 11 11 11 12 13 13 13 12 12 11 10 9 8 7 7 7 6 5 5 8 13 16 17 16 14 10 7 5 6 6 nan
nan 11 10 10 9 9 8 6 4 3 4 6 8 9 8 7 5 5 5 6 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 12 15 20 25 27 24 18 12 8 5 4 3 5 9 14 18 21 23 24 24 22 18 13 9 7 4 3 3 4 7 10 12 13 14 13 13 14 15 16 17 17 16 15 12 10 8 8 8 7 7 8 9 11 12 12 11 11 10 9 9 8 8 7 7 6 6 6 6 5 4 5 6 8 10 11 11 10 10 11 11 12 12 11 11 11 11 11 11 11 11 9 8 8 7 7 9 11 12 12 12 12 13 14 15 14 13 12 10 10 9 10 11 11 10 9 8 7 8 8 10 12 13 13 13 13 12 13 14 14 13 11 10 9 9 9 10 11 11 11 11 11 11 9 7 6 5 4 4 4 6 11 15 17 17 15 13 11 8 7 7 7 nan
nan 11 10 10 9 8 7 5 3 2 4 7 8 9 8 6 5 5 5 5 6 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 13 15 21 26 29 28 22 15 10 6 5 4 5 8 14 19 22 24 24 23 20 16 12 9 6 3 1 -0 1 6 12 17 20 20 19 17 16 16 18 19 18 17 15 11 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 7 7 8 8 7 6 5 5 7 9 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 11 10 9 8 8 8 10 11 11 11 11 12 12 13 13 12 12 11 10 10 11 11 11 11 10 10 9 9 8 9 10 10 11 12 12 12 13 13 14 14 13 11 10 9 9 9 9 9 10 10 11 11 10 9 7 4 2 1 -0 2 8 13 17 18 15 12 10 9 8 8 8 8 nan
nan 10 10 9 9 8 6 4 3 2 4 7 9 9 8 6 4 4 5 5 6 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 13 16 21 26 29 30 25 17 11 7 5 5 6 8 13 19 22 24 24 22 18 15 12 9 7 4 2 0 2 8 14 19 22 22 20 17 16 16 16 16 16 14 12 10 9 10 11 12 11 10 9 8 7 7 7 8 10 11 12 11 11 10 8 7 6 6 7 9 9 9 8 7 7 8 9 9 10 10 10 11 11 11 11 10 9 9 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 12 12 11 11 11 12 13 13 13 13 12 11 10 10 10 10 10 10 10 10 11 11 13 14 14 14 12 10 9 8 8 9 9 9 8 9 9 9 9 8 6 2 -1 -3 -2 4 12 17 19 17 13 9 7 7 8 8 9 8 nan
nan 10 9 9 9 8 6 4 3 3 5 7 8 9 8 6 5 4 4 4 5 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 14 16 21 26 29 29 25 17 11 7 6 6 7 9 13 17 22 24 25 23 19 15 12 10 8 5 3 1 3 8 13 17 19 19 18 16 16 16 17 15 14 12 10 9 9 10 11 11 11 10 9 8 8 7 8 10 12 13 12 9 7 6 5 4 4 5 6 8 10 10 9 8 7 8 9 9 10 10 10 10 11 11 11 10 9 9 8 8 9 10 10 11 11 10 10 9 9 8 9 9 11 11 11 11 11 12 12 12 13 14 15 15 15 14 13 12 11 11 11 12 11 11 11 10 10 11 12 13 12 11 9 8 8 9 9 8 7 7 7 7 7 6 6 4 1 -2 -2 1 11 20 22 20 15 11 7 6 6 8 8 9 8 nan
nan 10 9 9 8 7 6 4 3 4 6 7 8 8 8 7 5 4 4 4 5 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 13 16 20 26 29 28 23 15 9 6 5 6 8 10 13 17 21 24 25 25 23 18 14 11 8 5 3 1 2 6 11 14 16 16 15 15 16 18 19 19 17 14 12 11 11 11 11 10 10 10 9 8 9 10 12 14 16 15 12 7 3 1 1 2 4 6 7 9 10 10 10 9 8 8 9 9 10 9 9 9 10 10 11 10 10 9 8 9 9 10 11 11 11 9 8 8 8 8 9 10 10 10 9 9 10 11 12 13 13 14 15 15 15 14 14 13 13 13 13 13 13 12 12 11 10 10 11 11 11 11 12 13 15 16 15 12 9 7 5 5 4 3 3 2 0 -1 1 9 18 23 22 18 13 9 7 6 7 7 8 8 8 nan
nan 9 9 8 8 7 5 4 3 4 6 7 8 8 8 7 6 4 4 4 4 5 6 8 8 9 9 9 9 8 9 10 10 10 10 10 10 10 10 10 9 10 11 12 16 19 24 27 27 21 14 8 6 5 5 6 9 13 16 19 22 25 26 25 21 15 10 7 4 2 1 1 4 8 11 13 14 13 14 15 17 19 20 20 19 17 17 17 16 15 14 12 11 10 11 12 14 17 19 20 18 11 4 -1 -3 -1 3 8 11 13 13 12 10 9 8 7 7 8 9 9 10 10 10 10 10 10 11 10 10 9 9 10 10 11 10 10 9 7 8 8 10 11 12 11 10 9 8 9 10 11 12 12 13 13 13 13 12 12 13 13 13 13 13 13 12 13 12 12 12 11 11 12 15 17 21 25 26 25 21 15 9 5 3 1 1 1 3 3 3 8 14 19 20 17 13 10 8 8 7 7 7 7 7 8 nan
nan 9 8 8 8 7 6 4 4 4 5 7 8 8 8 7 5 5 4 4 4 5 6 7 8 8 9 9 8 8 9 10 10 10 10 10 10 10 10 9 9 9 10 12 14 18 23 26 27 22 15 11 7 5 5 6 8 13 16 18 21 23 26 25 22 16 10 7 5 3 2 2 4 6 9 11 12 12 12 12 13 14 14 15 16 17 19 21 21 20 19 16 14 14 15 17 19 21 22 22 17 8 1 -4 -5 -1 6 13 19 20 18 15 12 8 6 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 10 11 12 13 13 12 10 8 8 8 9 9 10 11 11 11 11 11 11 11 13 14 14 13 13 12 13 13 14 14 14 14 16 19 21 24 28 30 29 26 20 11 5 1 -1 0 3 7 9 11 12 15 15 14 12 9 8 8 9 8 8 7 7 7 8 nan
nan 8 8 8 8 7 6 5 4 4 6 7 8 8 8 7 6 5 5 4 4 4 5 6 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 11 13 17 23 27 29 26 19 13 10 7 6 6 8 12 16 18 21 23 25 25 23 19 15 11 9 7 6 4 5 6 8 10 11 11 10 9 9 8 8 8 9 12 15 18 19 19 17 16 14 15 18 21 23 23 22 19 13 5 -2 -5 -5 0 10 17 22 24 21 17 13 9 5 4 4 4 6 7 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 8 9 10 11 12 13 15 14 12 9 7 6 6 7 8 9 10 11 11 11 11 11 13 14 14 14 14 13 13 13 15 16 18 19 20 21 20 20 22 25 25 24 19 10 3 -0 -1 3 9 14 16 16 14 13 11 10 9 8 9 10 11 10 9 8 7 7 8 nan
nan 8 8 8 8 7 6 5 5 5 6 7 8 8 8 7 6 5 5 4 4 4 5 6 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 11 13 16 22 28 30 29 22 15 11 9 7 7 9 12 16 18 20 22 24 25 25 23 20 17 15 12 10 7 5 6 7 9 10 9 9 8 7 6 6 5 6 8 10 11 12 11 10 9 8 11 16 20 23 23 20 15 10 3 -2 -3 -1 3 11 17 20 21 20 18 14 11 7 5 4 4 5 7 8 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 11 13 15 15 14 12 9 7 5 5 6 9 10 12 13 13 13 13 13 14 14 14 14 14 13 14 16 18 20 22 22 21 18 16 16 18 18 17 14 8 2 1 2 7 14 18 19 16 13 10 9 8 8 9 10 12 12 11 10 9 8 8 8 nan
nan 7 8 8 8 8 6 5 4 5 6 8 8 9 8 7 6 5 5 5 4 4 4 5 6 7 8 8 8 8 9 9 9 10 9 10 10 10 10 10 9 9 9 10 13 16 21 27 31 30 25 17 13 10 9 8 8 10 12 15 17 18 20 21 22 23 21 19 17 14 11 8 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 5 4 4 7 12 17 21 23 20 14 8 4 1 0 2 5 9 13 15 17 17 17 15 13 10 7 5 5 5 7 9 10 11 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 9 11 13 14 14 14 12 10 7 5 6 9 11 13 15 15 14 14 13 12 12 13 13 14 14 15 17 19 20 21 21 19 16 14 13 13 13 12 10 7 3 4 6 10 15 17 16 14 11 8 8 7 8 9 11 11 11 11 11 10 9 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
25 27 28 28 27 26 25 22 16 14 13 13 14 12 15 17 19 23 30 40 44 38 25 21 18 17 17 19 20 16 11 8 7 7 9 11 18 24 28 28 26 23 22 24 25 23 22 21 21 25 37 51 56 55 42 26 17 17 13 9 9 16 31 43 42 31 26 23 14 9 7 7 7 5 5 5 5 5 6 7 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 4 5 6 5 4 4 4 4 4 4 4 3 3 2 1 3 50 133 277 461 570 466 199 41 2 0 0 0 0 0 0 0 3 23 57 111 166 199 217 242 291 359 416 439 428 425 474 571 666 723 741 730 694 647 625 647 740 914 1119 1270 1271 1119 1072 1070 1007 945 936 1041 1114 1088 1019 983 1018 1095 1124 1056 929 857 969 1292 1490 1281 1051 916 847 793 742 714 729 731 723 703 672 633 596 562 531 512 524 541 553 561 574 606 645 654
24 26 27 27 26 24 22 18 14 14 14 15 16 16 15 14 14 16 22 30 37 35 25 22 19 17 15 15 16 17 15 12 10 10 9 9 13 18 24 26 24 21 20 22 23 23 21 21 20 25 38 52 55 43 23 13 9 8 5 3 4 8 21 35 38 29 19 19 15 12 10 8 8 7 6 7 8 7 7 7 7 7 6 6 5 5 5 5 5 5 4 4 5 5 6 6 6 6 4 4 5 5 4 4 4 4 4 4 4 3 3 2 2 5 20 83 175 329 514 566 390 136 8 0 0 0 0 0 0 0 0 0 20 61 122 184 229 263 287 311 339 362 371 376 399 453 543 653 728 752 734 689 641 627 662 759 902 1027 1074 1031 951 922 928 810 679 629 722 870 964 957 923 956 1046 1085 1019 897 845 968 1250 1385 1146 933 803 737 698 661 638 661 682 689 682 665 643 621 597 570 557 579 602 610 598 584 593 623 640
22 23 24 26 26 23 20 16 15 16 17 17 19 20 20 18 15 13 12 18 26 26 21 16 16 16 17 16 16 16 16 14 12 11 11 9 10 13 18 22 20 18 19 21 21 21 20 22 19 24 35 43 42 29 14 9 8 5 3 2 4 6 10 17 21 19 19 20 19 18 19 11 7 7 6 6 6 5 6 6 6 5 5 5 4 4 4 5 5 5 5 4 5 5 6 5 6 5 4 4 5 4 4 4 4 4 4 4 3 3 3 2 4 21 67 122 225 387 468 408 232 65 0 0 0 0 0 0 0 0 0 0 23 73 141 212 275 326 358 365 353 334 319 327 363 426 514 619 704 727 708 672 646 649 691 758 819 844 829 784 738 716 703 641 566 533 637 824 952 961 923 923 989 1020 974 909 907 998 1112 1075 892 777 710 671 637 599 564 554 579 614 637 644 644 643 638 620 595 608 626 634 624 606 598 615 644
23 21 21 23 25 23 20 18 20 21 21 22 25 31 26 23 20 17 14 14 21 25 21 15 14 16 18 18 16 15 14 12 10 9 10 10 9 11 14 17 17 18 18 17 17 18 19 20 20 20 27 33 31 21 13 11 9 4 1 1 4 6 6 8 16 29 35 36 32 27 16 8 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 2 3 14 51 101 142 238 370 337 204 78 13 0 0 0 0 0 0 0 0 0 3 28 88 170 253 327 385 418 416 376 324 286 282 316 382 467 556 639 675 670 657 645 642 650 653 638 641 634 607 574 552 546 542 548 603 739 929 1030 1015 963 950 982 992 968 964 993 1007 947 801 682 656 635 606 565 520 484 477 508 561 606 632 645 654 659 647 616 603 612 618 618 613 625 662 698
28 21 20 23 23 20 19 20 24 26 24 25 28 30 30 26 24 20 17 17 21 28 24 16 15 17 18 17 16 13 12 12 11 10 9 10 10 12 14 15 15 16 16 14 15 16 17 17 17 17 19 21 18 13 10 11 10 5 2 1 3 4 4 6 9 21 35 40 34 20 8 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 5 5 6 5 4 4 5 5 4 4 4 4 4 4 4 4 3 2 2 6 31 74 111 147 212 268 223 107 30 3 0 0 0 0 0 0 0 0 3 13 42 108 200 286 357 402 418 400 352 295 251 240 267 327 406 490 574 649 681 680 652 615 579 544 513 520 528 511 482 454 446 488 608 807 931 1042 1063 1018 980 986 1005 995 985 1009 1020 946 794 640 579 581 565 533 482 437 419 438 486 548 608 645 660 667 669 658 633 623 640 640 647 658 697 756 788
30 27 23 25 22 19 20 22 25 27 24 25 30 34 36 34 29 22 16 15 18 24 23 18 16 17 16 16 14 12 12 13 15 12 11 11 11 13 14 14 13 13 13 14 13 14 16 16 15 15 14 13 11 9 8 9 9 6 2 2 2 2 2 2 5 13 25 29 27 22 14 7 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 2 5 34 78 113 150 170 166 162 68 12 0 0 0 0 0 0 0 0 1 12 29 65 138 227 303 347 361 350 321 286 251 220 214 235 280 337 409 502 607 690 712 675 613 551 499 463 451 455 435 406 373 370 455 659 928 1083 1053 965 913 923 965 988 975 997 1028 987 846 682 574 541 529 498 451 394 366 383 430 481 531 602 659 690 703 704 695 692 715 733 709 680 689 753 830 853
24 24 23 24 22 18 23 25 25 23 21 23 32 35 37 36 29 22 18 14 15 19 21 17 13 15 14 12 10 10 11 12 14 12 12 12 11 11 10 10 12 13 13 14 13 13 14 15 14 13 13 11 9 9 10 9 8 6 3 3 1 1 1 2 4 7 14 17 14 8 6 8 8 6 7 7 6 6 6 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 10 37 91 150 174 140 85 58 27 1 0 0 0 0 0 0 1 3 11 25 49 97 170 247 305 315 291 260 239 230 221 210 209 221 242 265 308 387 500 617 686 676 624 556 487 426 382 361 340 318 301 321 432 624 842 1051 941 796 779 839 913 962 1005 1087 1016 911 744 607 525 484 455 417 366 322 317 358 413 450 487 567 646 712 752 763 755 760 788 790 745 677 670 742 828 836
23 22 21 21 22 19 23 27 24 19 19 24 32 35 37 33 27 20 16 13 16 21 19 15 13 14 16 12 10 10 10 10 10 10 11 11 11 11 10 9 9 10 12 13 12 12 13 14 13 12 12 11 9 8 8 7 6 4 3 2 1 1 2 3 5 7 10 11 8 6 6 6 6 6 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 2 5 22 66 141 255 217 122 46 10 1 0 0 0 0 0 0 2 7 20 36 58 93 143 207 271 312 307 263 226 214 219 220 218 219 219 218 214 222 263 352 471 572 619 599 539 463 381 316 282 259 240 245 292 399 527 617 631 612 593 646 746 854 961 1096 1191 894 719 611 534 467 410 363 324 289 270 279 317 373 424 471 537 610 704 765 786 783 778 776 751 694 628 622 698 778 756
24 22 20 19 19 19 23 26 23 22 24 29 33 35 35 32 30 23 17 15 18 22 18 13 13 16 17 12 10 10 10 9 9 9 9 9 8 9 9 8 7 7 7 8 9 10 11 12 12 12 12 10 8 7 7 7 6 4 3 2 2 2 2 4 6 6 7 7 7 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 6 35 98 208 349 213 83 22 3 0 0 0 0 0 0 1 8 24 50 83 126 174 218 271 328 366 364 321 273 246 238 234 233 235 231 213 198 182 185 232 322 427 502 514 466 405 339 288 251 221 200 202 251 336 403 426 410 394 412 501 626 722 826 893 812 541 451 431 420 384 331 284 258 254 264 282 312 359 417 471 521 578 660 734 752 755 750 730 686 626 576 589 675 732 665
22 20 18 18 19 19 20 22 24 30 34 34 32 29 29 30 32 23 18 18 20 21 17 11 12 14 14 11 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 12 11 11 10 8 7 7 7 6 4 3 4 3 3 4 6 9 9 6 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 11 52 123 235 299 140 34 7 1 0 0 0 0 0 0 3 19 51 95 152 218 282 322 375 441 488 488 438 369 318 286 267 253 252 252 233 218 189 169 183 236 312 376 398 367 319 277 247 222 195 173 161 180 230 264 266 243 229 263 374 514 532 497 410 301 233 236 266 289 279 252 237 250 280 305 315 321 349 393 447 492 537 632 805 769 738 732 718 674 611 566 598 696 705 588
19 18 18 19 21 17 16 18 22 27 33 34 30 26 27 28 26 20 15 20 23 21 16 11 10 10 8 7 8 9 8 8 6 5 6 6 6 6 6 5 6 6 6 6 7 8 10 11 12 11 10 10 8 7 8 8 7 6 7 6 4 4 6 8 10 9 6 6 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 4 21 80 152 211 178 64 11 0 0 0 0 0 0 0 0 5 35 91 151 219 296 369 421 493 585 649 643 569 472 405 363 318 288 282 282 274 261 228 200 196 218 262 305 321 299 258 233 217 192 165 140 117 107 117 129 139 142 157 208 307 404 339 207 118 85 92 119 164 198 207 213 240 283 318 331 330 334 348 364 394 417 481 683 1017 912 764 737 721 678 624 600 649 738 673 518
17 17 18 19 18 16 17 17 16 23 31 33 29 25 24 23 22 17 15 22 25 21 15 11 10 8 6 5 7 8 7 7 6 5 5 5 6 6 6 5 6 6 6 7 7 8 10 11 11 10 10 10 9 9 10 9 9 9 9 8 6 6 7 8 8 7 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 2 2 3 3 3 2 2 2 2 3 2 2 7 38 121 196 173 88 20 2 0 0 0 10 23 19 4 2 17 72 153 213 267 327 399 485 592 709 781 769 686 582 503 451 383 347 341 343 339 325 295 265 243 241 264 294 304 282 244 213 194 167 136 107 85 71 67 78 111 154 199 242 275 270 174 84 52 49 67 102 147 185 209 232 263 290 308 313 317 334 344 327 327 325 412 671 996 952 774 729 694 650 622 636 712 829 656 472
18 17 18 18 18 20 22 22 20 29 33 32 28 24 21 20 20 15 17 23 22 16 12 11 10 8 7 7 9 8 7 6 6 6 5 4 5 6 6 5 6 6 6 6 7 8 9 10 9 8 9 9 9 9 9 10 10 10 10 9 7 8 8 8 7 6 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 1 1 1 1 2 2 2 4 23 81 181 257 151 49 7 0 0 0 3 37 103 117 53 8 46 136 222 243 265 312 395 510 636 759 840 850 801 725 643 557 474 438 430 429 415 388 355 323 290 271 278 299 305 281 241 206 173 139 105 83 71 71 89 133 212 298 333 303 239 166 92 56 53 67 93 128 166 200 227 248 262 269 277 298 335 371 359 314 292 277 368 577 789 830 746 685 628 584 596 644 763 956 703 478
16 18 18 19 20 24 27 26 24 34 36 32 27 24 21 20 20 15 22 23 17 12 9 8 8 7 7 7 8 8 7 7 6 6 5 4 5 5 5 5 6 6 6 6 7 9 10 10 9 8 9 9 8 8 8 9 9 9 8 7 6 7 7 7 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 1 1 0 0 0 1 2 2 5 19 58 144 244 277 142 36 6 0 0 0 4 33 117 161 66 29 104 198 232 211 213 270 359 465 579 697 804 875 888 837 743 634 552 522 514 498 460 412 366 329 303 288 288 303 303 275 235 195 143 110 86 75 77 107 167 255 362 452 426 314 204 128 89 85 99 124 141 155 175 198 219 235 250 258 273 332 399 423 378 327 290 274 348 522 701 777 727 646 591 552 578 640 740 837 722 513
18 20 21 23 24 26 27 24 25 33 37 33 25 20 20 20 19 19 26 20 14 10 9 9 8 8 7 7 8 9 9 7 5 4 5 5 5 6 5 5 6 6 5 6 7 8 9 9 9 8 8 9 8 8 9 9 9 8 7 6 5 6 7 7 6 5 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 1 1 2 7 24 52 98 159 225 262 245 148 52 16 3 0 0 0 2 13 30 26 91 171 203 178 145 148 202 265 340 430 537 656 770 824 782 690 599 546 537 536 516 470 414 370 345 331 318 306 297 285 259 224 180 131 93 80 81 110 169 241 308 358 397 352 259 189 152 147 164 187 193 189 186 201 226 239 239 250 261 278 355 400 389 342 301 274 248 294 467 679 795 762 670 601 547 523 541 601 656 633 515
24 21 20 21 23 24 24 22 20 30 37 34 27 20 21 24 27 29 24 15 10 10 11 11 10 9 7 9 11 11 10 7 5 4 5 5 5 6 5 6 6 6 6 6 6 7 8 9 8 8 8 8 7 8 9 9 8 7 7 6 5 7 7 6 6 5 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 1 7 45 117 210 303 355 297 213 183 147 82 40 12 2 0 0 1 4 16 51 142 160 136 100 82 93 129 162 199 257 337 436 536 599 575 503 468 478 506 522 518 490 442 404 390 383 364 330 295 269 249 227 194 153 119 105 116 158 204 234 238 221 200 197 193 201 210 225 241 247 236 221 214 231 261 275 270 265 261 271 319 329 318 301 270 239 215 237 366 593 802 847 726 606 502 436 388 377 415 459 453
25 26 22 22 22 22 22 21 18 36 38 32 26 20 19 26 31 28 21 14 10 11 13 14 13 11 9 9 12 11 10 8 6 5 5 5 6 6 6 6 5 5 6 7 7 7 7 8 6 7 7 7 8 9 9 9 8 6 6 6 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 1 1 1 0 31 124 246 354 415 392 228 121 131 121 77 39 12 0 0 0 4 16 38 67 77 75 52 37 39 51 65 68 71 100 149 213 279 321 310 302 355 435 504 548 562 543 505 466 443 434 408 357 305 277 272 267 247 219 194 182 190 209 216 197 159 122 107 124 173 233 257 263 262 255 239 219 205 218 250 272 274 258 232 240 251 275 278 265 246 226 216 220 277 455 738 890 777 560 417 356 308 270 268 310 364
27 31 28 27 24 22 21 21 26 43 37 29 22 19 20 26 30 25 19 13 13 16 18 18 16 14 10 8 9 9 10 8 6 5 5 6 5 5 6 6 5 5 6 7 7 7 7 6 7 7 7 7 7 8 9 8 7 6 6 6 5 6 7 6 6 5 5 5 5 4 5 4 4 4 4 4 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 0 1 3 17 70 181 275 299 255 167 72 41 77 70 38 9 0 0 0 3 13 29 38 33 15 8 7 7 15 22 20 9 2 12 32 63 92 109 122 176 287 419 527 593 610 588 547 509 474 442 413 367 318 303 321 351 346 323 301 288 283 280 270 255 227 188 158 158 201 254 268 264 255 241 223 206 202 219 252 282 283 262 234 219 213 238 254 245 224 212 218 222 227 340 649 858 791 543 399 335 289 245 219 234 290
31 32 30 28 23 24 25 26 35 41 31 24 18 17 23 29 29 22 18 16 17 19 19 15 13 13 11 9 7 6 6 6 5 5 5 6 6 5 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 7 6 5 5 6 6 7 6 6 6 6 5 5 5 4 4 4 4 4 4 3 2 2 2 2 2 2 2 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 0 0 6 23 57 108 173 192 147 81 26 5 8 25 20 10 2 0 1 3 10 20 24 16 4 0 0 0 0 3 4 2 0 0 0 2 8 13 18 35 94 229 387 507 572 592 579 552 525 500 478 454 406 358 356 413 493 506 477 441 413 395 384 387 416 425 388 325 273 260 275 286 288 283 267 253 258 280 303 336 347 315 397 432 310 258 269 314 315 280 252 260 280 289 371 611 811 791 619 479 379 304 252 217 209 240
32 36 33 28 25 29 37 37 40 35 27 22 19 22 29 32 28 21 19 19 20 20 18 14 11 11 9 7 6 5 5 6 5 5 6 6 6 5 5 5 5 6 7 7 7 7 7 8 8 7 6 7 7 8 7 7 6 6 5 6 7 6 6 6 6 6 5 5 4 4 4 4 3 4 4 3 3 3 2 2 2 2 2 1 0 0 0 0 0 0 0 1 1 1 4 6 1 4 8 10 7 20 45 74 99 109 88 37 9 0 0 3 8 1 0 0 1 4 6 9 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 43 147 294 410 475 508 522 527 531 538 551 557 512 460 459 521 590 604 571 545 515 485 465 470 513 567 560 500 425 377 372 384 393 394 384 384 405 430 432 455 378 310 343 373 325 305 320 400 446 432 400 389 417 454 524 606 774 822 731 588 448 343 288 261 242 239
34 41 39 32 25 27 36 42 37 28 24 25 31 35 34 31 24 18 16 18 19 15 12 10 10 10 10 8 7 6 5 5 5 5 6 7 7 6 5 6 6 6 7 8 8 8 8 9 7 6 6 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 5 4 4 3 4 4 4 4 4 3 3 3 2 2 2 2 1 1 1 1 1 0 0 0 1 1 1 2 24 66 81 64 42 30 22 29 39 51 59 51 27 0 0 2 12 31 32 8 2 0 2 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 56 147 247 325 384 437 486 534 590 659 727 698 602 546 552 581 585 562 553 530 488 445 422 432 493 561 567 533 514 520 533 540 539 533 538 561 575 542 449 356 296 279 287 300 316 343 418 489 512 570 657 643 517 488 520 679 767 712 564 419 327 276 248 235 224
37 42 44 31 25 26 30 32 28 21 19 25 29 30 28 25 20 15 16 17 15 11 11 10 8 8 9 8 7 6 5 5 5 5 6 7 7 6 6 7 8 8 8 7 7 7 7 7 6 6 7 8 7 6 5 7 7 8 8 8 7 6 6 6 5 5 5 4 4 4 4 4 4 4 3 2 3 2 2 2 2 2 1 0 1 1 1 1 1 1 1 1 0 9 44 115 139 95 51 27 22 33 42 64 73 53 21 1 1 9 55 91 67 22 6 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 40 93 153 226 323 434 554 677 803 893 857 685 537 467 451 448 445 456 461 434 394 355 346 402 531 591 591 584 576 573 575 584 592 594 594 575 513 412 336 309 312 325 340 344 347 380 413 403 489 677 748 637 492 444 593 696 662 525 367 253 186 143 144 151
35 41 41 35 32 33 34 31 26 19 16 26 32 27 22 19 17 18 20 15 12 12 12 11 7 6 8 9 7 6 5 6 6 6 6 7 7 6 7 7 7 7 7 5 5 5 5 5 5 6 8 8 7 6 6 6 6 7 7 7 7 6 6 6 5 5 5 4 4 4 4 4 4 4 3 2 3 2 1 1 1 1 1 0 0 0 0 1 1 0 0 0 2 14 43 80 76 34 16 10 30 70 107 148 144 94 36 4 4 19 78 99 60 22 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 4 18 43 91 179 309 472 644 804 885 828 621 424 318 289 298 315 336 370 403 418 402 401 452 553 606 586 560 539 537 550 572 597 622 585 535 479 430 407 409 385 366 351 336 317 297 285 280 308 418 590 673 608 501 606 699 662 534 379 247 155 92 75 73
31 36 35 37 38 35 31 26 25 28 26 24 26 21 17 17 18 19 19 13 10 11 12 11 8 5 5 6 7 7 6 6 6 6 6 7 7 7 8 8 7 6 6 4 5 5 5 6 6 7 7 7 7 6 6 6 5 6 6 5 5 5 5 6 6 4 4 4 4 4 4 4 4 3 3 2 2 3 2 1 1 0 0 0 0 0 0 2 3 1 0 3 10 22 37 45 31 2 1 13 48 90 122 137 118 74 29 6 4 14 31 37 18 7 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 1 6 22 60 131 250 409 589 707 695 554 305 172 131 134 159 211 301 414 501 493 486 500 516 514 491 486 485 494 513 537 568 626 573 516 469 437 424 417 390 352 322 300 280 264 253 246 253 256 315 392 418 416 516 620 612 516 386 268 174 103 73 70
28 30 28 26 27 27 23 19 19 27 31 29 25 21 14 17 18 15 12 11 10 13 11 12 10 6 4 4 5 6 7 7 6 6 5 7 8 9 10 9 6 6 5 4 5 6 5 6 7 7 7 6 6 5 6 6 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 1 0 0 0 1 3 8 16 30 35 30 27 34 42 39 29 17 6 0 0 9 24 35 40 39 37 23 8 2 0 0 1 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 2 9 26 73 172 314 417 473 448 218 69 28 21 42 109 230 379 468 458 443 421 390 365 359 377 406 436 463 479 491 517 502 477 448 417 388 368 352 329 307 288 270 258 248 234 222 216 205 220 242 271 330 404 429 388 302 216 153 115 107 114
28 28 27 28 26 22 19 20 24 29 29 25 22 19 15 17 16 12 10 11 13 15 16 12 8 6 5 5 5 6 7 6 5 5 6 7 8 9 8 7 6 6 5 5 6 6 6 6 6 6 6 5 5 6 6 6 6 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 1 0 0 0 1 2 12 42 98 126 126 124 117 104 92 68 33 8 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 57 107 150 187 184 101 22 2 0 12 64 169 295 344 321 289 261 238 226 231 258 300 338 366 378 382 387 387 382 374 360 344 328 317 306 289 273 262 258 250 233 216 216 211 216 220 223 234 255 268 244 198 157 128 113 115 133
29 28 25 22 21 18 21 26 30 31 28 22 16 14 14 14 13 11 11 11 12 13 12 7 5 5 5 6 6 5 6 7 6 6 6 7 8 8 7 6 5 6 6 7 6 5 5 5 6 6 6 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 2 1 1 1 1 0 0 1 9 29 68 141 216 216 181 180 174 152 122 82 35 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 11 15 27 29 19 6 0 0 11 57 151 235 224 163 120 101 95 98 110 132 163 203 236 257 272 284 291 296 302 301 295 288 281 271 259 250 243 242 235 219 203 200 205 220 221 209 195 192 194 182 155 136 122 113 116 139
29 27 22 19 18 18 27 36 33 27 21 15 11 14 14 12 11 10 12 13 11 10 9 5 4 4 5 5 5 5 6 7 7 6 6 7 8 7 6 6 6 6 7 8 5 5 6 6 5 6 7 6 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 1 1 0 0 1 7 27 78 150 237 245 166 94 83 92 99 87 58 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 14 13 1 0 0 1 1 0 0 0 1 22 86 153 159 104 44 21 17 17 19 23 33 52 90 128 159 186 203 210 219 232 245 248 240 228 221 218 218 209 207 201 195 190 188 188 189 178 158 144 143 151 158 143 130 124 120 123 142
27 25 19 17 20 26 33 36 28 20 15 13 13 16 15 12 10 11 14 14 11 8 6 5 4 6 7 6 5 5 5 6 6 5 6 7 7 6 5 5 5 5 5 5 4 5 6 6 6 6 6 6 5 6 6 6 6 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 1 1 1 0 0 0 10 45 123 227 283 181 67 17 6 9 19 23 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 15 11 1 0 0 0 0 0 0 2 11 37 96 104 63 23 5 1 0 0 0 0 2 8 25 52 87 113 128 136 142 150 161 166 161 156 158 165 171 164 166 167 178 190 189 174 151 127 112 109 117 132 147 142 129 124 125 136 158
31 27 23 27 36 36 37 32 23 14 13 14 15 15 14 12 9 12 14 13 10 6 4 5 5 7 9 7 5 5 5 5 5 5 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 6 6 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 1 1 1 1 1 0 0 9 53 146 269 295 111 25 3 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 3 4 3 0 0 0 0 0 1 5 14 29 52 64 27 9 2 0 0 0 0 0 0 0 0 3 12 30 44 53 56 57 60 64 74 86 94 103 113 120 118 131 148 179 196 185 154 121 114 124 137 146 150 152 146 132 127 134 154 176
38 31 28 35 43 39 32 23 16 13 14 15 14 13 12 11 10 13 12 10 8 7 5 6 6 8 8 7 6 6 5 6 5 5 5 5 5 5 5 4 4 4 2 4 5 4 4 4 6 7 6 5 6 6 6 5 5 4 4 4 4 4 4 4 3 2 3 3 3 3 2 2 1 1 1 1 1 1 0 0 3 25 91 198 289 256 57 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 4 13 24 35 38 22 3 0 0 0 0 0 0 0 0 0 0 0 1 5 8 10 9 7 5 3 5 14 27 45 59 68 79 106 136 172 181 159 126 117 152 202 226 232 216 185 153 133 128 138 159 178
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37 39 34 35 30 23 20 18 19 17 14 11 9 8 11 9 9 9 8 7 6 7 9 11 11 10 8 8 8 8 6 5 5 5 5 5 6 5 6 7 7 6 6 6 4 5 6 7 7 6 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 1 1 2 2 1 1 1 0 0 7 31 89 194 316 349 255 115 15 3 6 20 25 20 11 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 2 4 10 26 51 76 102 119 122 117 119 144 189 241 216 170 124 91 78 74 69 66 62
31 31 30 25 22 22 26 26 23 16 13 11 11 11 11 9 7 8 8 7 7 7 9 10 10 9 8 9 10 8 7 6 5 4 6 6 5 5 5 5 5 6 7 6 4 6 6 6 6 6 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 3 3 28 88 178 276 338 300 155 47 4 9 29 58 74 62 36 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 1 3 11 25 47 80 120 144 148 130 116 132 156 151 118 77 47 38 43 49 48 45
29 24 20 20 25 32 34 25 17 14 14 15 15 13 11 10 8 8 7 7 7 8 10 9 9 9 9 10 9 7 6 5 5 5 6 5 5 6 5 5 4 5 4 5 6 7 6 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 2 2 1 2 1 1 1 1 1 0 2 10 33 74 128 204 275 308 280 183 54 10 0 21 53 83 99 84 51 21 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 1 5 14 32 62 101 126 138 127 112 109 107 94 69 45 31 30 43 60 76 83
27 23 25 28 33 36 31 20 16 17 19 18 15 10 9 9 9 9 7 7 7 7 7 8 8 10 11 10 8 6 5 4 5 5 5 4 6 4 4 5 5 4 4 6 6 6 5 6 6 5 5 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 0 2 12 49 119 203 271 326 338 284 188 83 10 0 0 29 60 80 83 66 37 15 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 2 5 13 27 43 56 74 92 102 102 89 65 41 30 32 43 67 105 155 175
28 22 29 32 32 29 23 17 24 24 21 16 12 9 9 10 9 8 6 7 6 7 7 8 8 9 9 8 6 5 4 4 5 5 5 5 5 4 6 6 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 0 3 14 44 134 219 293 341 351 308 203 95 27 0 0 2 23 45 55 49 31 13 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 1 2 3 6 9 16 31 44 52 53 47 34 29 38 59 99 163 242 276
29 28 33 31 25 25 23 28 34 24 16 13 11 11 11 11 8 6 6 7 7 7 8 9 8 8 7 6 5 5 5 5 4 4 5 4 5 5 6 5 6 6 6 6 5 6 5 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 0 1 4 18 64 131 214 259 300 310 270 190 95 26 5 0 0 1 8 21 26 18 8 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 0 0 0 0 0 0 0 0 3 6 9 17 27 32 34 51 82 127 192 270 321
37 32 32 32 25 24 27 32 29 19 12 13 13 12 11 10 8 6 6 7 8 9 9 9 8 7 7 7 6 6 5 4 4 4 5 4 6 6 5 5 6 7 7 6 6 5 4 3 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 0 5 20 63 118 148 167 186 199 230 204 144 78 27 2 0 0 0 0 1 4 6 4 1 0 1 4 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 1 3 11 22 34 63 102 141 189 239 259
29 30 24 21 25 27 30 27 19 15 15 16 15 12 10 9 8 7 9 8 8 7 7 7 7 7 7 7 6 6 5 4 4 4 4 5 7 6 5 5 5 6 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 0 16 47 87 134 153 116 94 91 116 156 125 65 22 3 0 0 0 0 0 0 0 0 0 0 0 7 19 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 51 92 117 143 161 156
22 21 24 29 31 30 28 22 15 21 21 18 13 10 10 10 9 7 6 7 8 8 8 8 8 8 6 7 6 6 5 5 5 4 5 6 7 7 8 7 6 5 4 5 4 4 4 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 0 25 85 134 142 96 32 22 32 95 142 95 33 6 0 0 0 0 0 0 0 0 0 0 0 0 10 31 33 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 58 74 84 93 102
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