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 7 8 9 8 8 8 9 8 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 11 12 12 12 13 13 13 13 13 13 12 12 12 13 14 14 14 13 11 10 9 9 10 11 10 8 7 8 8 9 11 14 18 23 23 19 13 9 7 7 7 7 7 8 9 10 10 9 9 9 9 9 8 7 7 8 8 8 7 7 6 6 7 7 6 6 5 6 6 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 7 7 8 8 8 8 7 7 7 8 8 8 8 7 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 7 8 9 11 12 13 12 12 12 11 11 11 11 11 11 12 13 15 15 14 12 11 10 10 9 10 10 9 7 7 7 8 9 11 14 16 20 21 19 13 8 6 6 6 7 8 9 11 11 10 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 7 nan
nan 8 7 8 8 8 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 9 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 9 10 11 12 12 12 11 9 8 8 9 9 10 10 11 11 12 14 14 13 12 11 11 10 9 8 8 8 8 7 7 9 10 12 12 14 16 20 20 16 10 7 6 6 6 8 9 10 11 11 10 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 8 8 8 7 8 8 8 8 8 7 7 7 6 6 7 7 nan
nan 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 10 11 13 13 12 11 9 8 6 6 7 7 8 8 9 10 11 11 11 11 11 11 11 11 10 8 8 8 8 8 8 8 10 10 11 11 12 14 19 20 16 11 9 8 8 8 8 8 9 9 10 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 7 7 6 6 6 7 8 9 10 9 9 8 7 6 5 6 7 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 nan
nan 8 7 7 8 8 8 7 6 6 7 7 7 7 8 8 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 9 9 10 11 12 13 12 10 9 7 7 6 6 7 7 7 8 10 10 10 10 10 10 9 10 11 11 9 8 7 7 7 7 8 10 10 10 10 10 11 13 16 17 14 12 10 12 13 12 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 8 9 10 11 11 10 9 8 8 7 7 7 8 9 10 11 11 9 8 7 6 5 5 6 7 8 8 7 7 7 6 6 6 6 6 6 6 5 6 6 6 nan
nan 8 7 7 7 8 8 7 7 7 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 11 10 8 8 7 7 7 7 7 8 9 10 10 10 10 10 10 10 11 11 11 10 8 7 6 6 7 9 10 10 10 10 10 11 11 12 12 11 10 11 13 15 14 12 10 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 6 7 7 7 7 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 8 7 8 9 11 12 12 11 9 8 6 5 4 4 5 6 7 7 6 6 6 6 6 5 5 5 5 5 6 6 7 7 8 nan
nan 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 8 8 8 8 8 8 7 8 9 10 11 12 12 11 10 9 10 11 11 10 9 8 7 7 7 8 8 9 10 10 9 9 9 10 10 11 12 12 10 8 7 6 7 9 10 10 10 11 11 11 10 9 10 10 10 9 10 13 14 15 14 12 10 9 8 8 9 9 9 8 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 7 9 11 12 11 9 8 6 5 4 4 4 5 7 8 7 6 6 6 6 6 6 5 5 5 5 5 6 8 9 10 10 nan
nan 8 8 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 10 10 10 10 9 8 8 8 9 8 7 7 7 7 7 8 8 10 11 12 12 11 10 8 8 9 11 11 11 9 8 7 6 7 7 8 8 9 9 9 8 8 8 9 10 11 12 11 9 7 7 9 10 10 10 10 11 11 11 10 9 9 10 9 9 10 11 13 13 14 13 12 12 11 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 8 8 9 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 7 6 4 4 4 5 6 6 7 8 9 9 8 6 5 5 5 5 6 8 11 13 14 12 11 10 10 10 9 8 7 6 5 6 7 10 11 12 12 12 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 8 8 7 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 9 8 8 9 9 8 7 7 6 6 7 7 7 7 8 9 9 8 7 7 7 8 10 11 12 11 9 8 9 10 10 10 10 10 11 11 10 10 10 9 9 9 9 10 10 11 12 13 14 14 14 13 13 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 10 11 11 10 9 8 7 6 5 4 3 3 5 6 7 7 7 7 7 7 6 6 6 8 9 10 12 15 19 21 21 20 18 16 15 14 13 12 10 9 9 10 12 15 15 15 14 13 nan
nan 8 8 8 7 7 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 10 10 9 8 7 7 7 8 8 9 10 10 10 10 9 9 8 8 9 10 10 10 8 8 7 7 6 6 6 6 7 7 8 7 6 7 8 9 8 8 8 8 8 8 10 11 11 10 9 8 9 9 9 9 10 10 10 10 10 10 10 8 8 8 8 8 9 10 12 15 16 16 15 15 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 7 7 7 8 9 10 11 11 12 12 11 10 8 6 5 5 4 3 4 5 7 8 9 9 8 7 8 8 9 10 12 14 16 18 20 22 23 23 22 22 20 18 17 16 14 13 13 14 14 16 17 17 16 15 14 nan
nan 7 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 10 11 11 11 10 10 9 8 8 8 9 9 9 8 8 7 7 6 6 6 7 8 9 8 7 7 6 7 8 9 8 8 9 9 8 8 9 10 10 9 8 8 8 8 9 9 9 8 8 9 10 10 9 8 8 8 8 8 9 11 14 15 14 14 15 16 16 16 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 10 9 9 8 7 7 6 6 6 7 8 8 9 10 10 9 9 8 6 5 5 5 5 5 6 6 8 10 11 11 11 11 10 11 13 15 17 18 20 20 21 21 21 20 20 20 19 18 17 16 16 16 16 16 16 16 17 17 17 18 17 nan
nan 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 9 9 10 10 11 11 12 12 11 11 10 10 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 9 9 9 8 8 7 7 8 9 9 9 9 9 8 7 7 8 9 9 9 8 8 8 9 9 9 7 7 9 10 10 9 8 8 8 8 8 9 10 11 11 11 11 12 13 15 15 14 14 15 15 15 15 14 14 14 14 14 14 14 14 14 13 13 14 13 13 12 11 11 10 9 9 8 8 7 6 6 5 5 5 5 5 5 5 6 6 5 5 5 5 6 6 7 7 7 7 8 10 12 13 14 14 14 15 15 16 18 18 19 20 19 18 18 17 18 17 17 16 16 16 16 16 16 16 16 16 17 18 19 20 20 20 nan
nan 6 6 7 6 7 7 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 11 11 11 11 12 13 12 11 11 10 10 9 9 9 9 8 8 8 7 6 6 7 7 7 6 6 7 8 9 9 9 8 7 7 8 9 9 9 9 8 7 6 6 7 8 9 9 8 7 7 8 9 8 8 8 9 11 11 10 9 9 9 9 9 8 8 8 9 8 8 7 8 10 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 10 10 9 8 8 7 7 7 7 6 6 5 5 4 4 3 3 3 3 3 4 4 4 4 5 7 8 9 9 10 10 10 10 12 14 16 16 16 17 17 17 17 17 17 16 16 15 15 14 14 15 15 15 15 14 14 15 15 15 15 15 15 17 18 20 21 21 19 nan
nan 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 9 10 11 12 12 12 12 12 11 10 10 9 9 9 9 9 8 8 8 8 7 7 6 7 7 7 7 6 5 6 7 8 8 8 8 7 8 8 8 9 9 9 8 7 6 6 6 7 8 8 8 7 7 7 8 7 7 7 9 11 11 10 10 10 10 10 9 8 8 8 8 8 7 6 5 5 6 8 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 3 2 3 3 3 4 4 5 6 8 9 11 12 12 12 12 13 13 14 15 16 16 17 17 17 16 15 13 12 11 10 10 10 10 10 11 12 13 12 12 12 13 13 13 13 13 13 14 14 16 16 17 17 nan
nan 7 6 6 7 7 8 7 8 8 8 8 8 8 9 10 11 10 8 7 7 8 9 9 10 11 11 12 12 12 11 10 9 9 8 8 9 10 10 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 7 7 8 8 8 9 9 9 8 7 6 6 6 6 7 7 8 9 9 9 8 7 7 7 9 9 10 9 9 10 11 11 10 9 8 8 8 8 8 7 5 3 3 3 5 7 7 7 7 7 7 6 6 6 6 6 5 5 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 6 6 7 9 11 12 13 13 13 13 14 14 14 14 14 14 14 14 13 13 12 10 8 7 6 6 6 6 6 6 7 8 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 13 nan
nan 7 6 6 7 8 8 8 8 8 8 8 8 9 11 12 11 10 8 8 9 10 10 10 10 10 11 10 11 11 10 10 9 9 8 8 9 11 12 12 11 9 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 7 7 8 8 9 9 9 9 8 7 7 6 6 6 6 6 7 9 10 10 9 8 7 7 8 8 8 8 8 8 10 10 10 9 8 8 8 8 8 8 7 5 2 1 2 4 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 8 9 10 11 12 13 13 13 13 13 13 13 12 11 11 10 9 8 7 6 5 4 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 7 7 7 6 6 5 5 6 7 8 nan
nan 8 7 6 7 7 8 8 8 8 8 9 10 11 12 12 11 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 8 9 10 12 13 14 13 10 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 9 10 9 8 8 7 7 6 6 6 6 6 6 6 7 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 7 6 3 -0 0 3 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 11 11 11 11 10 9 9 8 7 6 6 5 4 3 3 2 2 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 nan
nan 10 9 8 8 8 9 9 9 10 10 10 11 11 12 11 9 9 9 10 10 9 9 9 9 9 8 8 9 10 11 11 9 7 7 8 10 11 13 14 13 10 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 6 6 5 5 5 6 7 7 6 6 7 6 6 6 6 7 8 8 8 8 8 9 8 8 8 8 7 4 1 0 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 9 8 8 8 8 8 7 7 7 6 6 5 5 4 3 3 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 nan
nan 13 12 11 11 11 11 11 11 12 12 11 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 10 8 7 7 8 9 10 11 12 11 10 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 6 6 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 4 2 3 4 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 10 10 10 10 10 10 11 11 11 11 10 8 7 6 6 6 6 5 5 4 4 3 3 2 2 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 2 2 2 nan
nan 13 12 12 11 11 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 11 10 8 8 8 8 9 9 10 11 10 9 9 8 8 7 7 7 7 7 8 8 8 7 6 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 5 6 7 7 7 7 6 6 6 6 7 7 8 8 8 8 9 9 9 8 8 7 5 4 3 4 6 8 9 10 10 10 10 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 10 10 10 10 10 11 11 12 11 11 10 8 7 7 6 6 5 4 3 2 2 1 1 1 1 2 2 3 3 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 nan
nan 11 11 10 10 10 9 9 9 8 9 9 9 9 10 10 11 10 9 9 10 10 10 9 8 8 8 9 10 11 11 10 9 9 10 9 9 10 10 10 9 9 9 8 8 8 8 8 7 8 8 8 7 6 5 6 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 4 5 6 7 8 8 7 7 6 6 7 7 7 8 8 8 8 9 9 8 8 8 8 8 6 5 5 7 9 9 9 9 9 10 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 11 10 9 8 7 6 5 4 2 1 1 1 2 2 3 3 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 nan
nan 11 11 11 11 10 10 9 9 8 9 10 10 10 11 11 11 10 10 9 10 9 9 8 8 8 8 9 10 11 11 11 11 12 12 11 11 10 10 10 10 10 11 10 9 9 9 8 8 8 8 7 6 4 4 4 5 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 5 6 6 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 8 9 9 8 8 8 9 9 8 6 5 8 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 10 10 10 11 11 12 11 10 9 8 7 6 4 3 2 2 2 3 3 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 11 12 12 12 12 11 10 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 8 8 8 9 9 10 11 13 13 13 13 12 11 11 11 10 10 10 11 11 11 10 10 9 9 9 9 8 7 5 4 3 4 4 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 7 7 7 7 7 8 7 7 7 7 8 9 9 10 10 9 9 9 7 5 3 6 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 11 11 11 11 10 9 8 7 6 5 4 4 4 5 5 6 6 6 6 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 nan
nan 11 12 12 12 11 11 10 9 9 8 8 9 9 10 10 11 11 10 9 9 9 9 8 8 9 9 10 11 12 13 13 13 12 11 10 9 10 9 9 9 9 9 10 10 10 9 9 9 8 7 7 6 5 4 4 5 6 6 7 7 7 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 8 8 8 7 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 9 8 5 4 5 6 7 8 8 8 8 8 7 7 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 9 9 10 11 11 11 10 10 10 9 8 8 7 7 6 6 6 7 7 8 7 7 7 6 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 nan
nan 11 11 11 11 10 10 9 9 8 7 7 8 8 9 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 9 9 8 8 7 7 6 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 9 8 8 8 8 7 6 6 6 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 7 7 6 5 5 5 5 5 6 6 5 5 5 5 5 5 6 7 7 8 8 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 8 7 6 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 nan
nan 10 10 10 10 10 10 9 8 7 7 7 8 8 8 9 10 11 11 10 10 10 9 9 9 10 11 11 10 9 9 8 8 7 7 6 6 5 5 6 7 7 8 7 8 8 8 7 6 5 5 4 4 4 5 5 6 6 6 6 6 7 6 6 6 6 7 7 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 nan
nan 10 10 10 10 11 11 10 8 7 7 7 8 8 8 8 10 11 10 10 9 9 9 9 10 11 11 11 11 10 10 10 10 9 9 7 6 5 4 5 6 6 6 6 7 7 7 6 6 5 5 3 3 3 4 5 6 6 6 5 6 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 8 8 9 10 10 9 9 8 7 7 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 8 7 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 6 6 7 6 6 6 nan
nan 10 10 10 11 12 12 10 9 8 8 8 8 8 8 8 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 9 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 5 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 10 12 13 15 14 13 11 8 7 7 7 7 7 7 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 7 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 11 11 11 11 12 12 11 10 10 9 9 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 6 6 5 6 6 6 6 5 5 5 5 6 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 9 11 13 15 15 15 12 9 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 11 11 10 10 11 11 11 11 11 10 10 9 9 8 9 10 10 10 10 9 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 8 7 7 7 7 8 7 7 6 6 6 7 8 10 10 10 9 9 8 8 8 7 7 7 7 6 6 5 6 6 7 8 8 7 6 6 6 7 7 8 8 8 8 8 7 7 8 8 7 6 6 6 7 8 8 7 7 8 8 8 8 9 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 11 11 11 9 5 2 2 4 5 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 nan
nan 11 10 10 9 10 10 11 11 11 11 10 10 9 8 9 9 10 11 10 8 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 10 9 8 8 8 8 8 7 7 7 8 8 10 11 11 11 10 9 8 8 8 8 8 8 7 7 6 5 5 5 6 7 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 8 7 7 7 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 7 3 -1 -2 1 3 5 6 7 7 7 8 8 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 7 6 6 5 5 5 5 5 5 5 nan
nan 11 10 10 9 9 10 10 10 11 11 11 10 9 9 9 9 10 10 10 9 7 6 5 5 5 6 7 8 8 9 9 10 11 12 13 12 10 9 8 8 8 7 7 6 7 7 8 9 11 12 11 10 9 8 8 8 8 9 9 8 7 6 6 5 4 4 5 7 8 9 9 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 8 8 8 7 7 6 7 7 7 7 7 7 5 2 -0 1 3 6 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 8 7 7 7 7 7 7 7 6 5 5 4 4 5 5 5 5 nan
nan 11 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 9 8 7 6 5 6 6 7 8 9 9 10 10 11 12 13 12 11 9 8 8 7 7 7 6 6 6 8 9 10 11 11 11 10 9 8 8 8 9 9 8 7 7 7 7 5 3 3 5 7 8 9 9 9 9 9 8 8 7 7 7 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 8 8 8 8 8 8 8 7 6 7 7 7 7 7 6 4 2 2 5 9 11 11 10 9 8 8 8 8 8 8 7 8 8 9 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 8 8 8 8 8 8 8 8 8 7 7 6 5 4 4 4 4 4 4 4 4 nan
nan 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 7 8 8 9 9 9 10 11 11 11 11 10 9 9 8 7 7 6 6 6 7 9 10 11 11 11 11 11 10 9 9 8 8 8 8 8 9 8 7 5 4 5 7 8 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 6 7 7 7 6 5 5 8 13 16 16 15 12 11 9 9 8 8 7 7 6 6 6 7 7 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 5 4 4 3 3 3 4 4 4 4 nan
nan 10 11 10 9 9 9 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 9 10 10 11 11 11 11 10 9 8 7 7 7 6 7 8 8 9 10 11 12 13 12 11 10 9 8 8 8 8 9 9 8 7 7 7 8 10 10 9 8 8 8 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 9 11 15 18 18 17 16 16 14 12 10 9 8 7 6 6 5 5 5 5 7 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 5 4 3 3 3 3 4 4 4 4 nan
nan 9 10 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 10 10 9 9 8 8 7 7 8 9 9 8 8 8 8 9 10 10 11 11 11 11 10 9 8 7 6 6 7 7 7 9 11 13 13 13 12 11 10 8 7 7 8 8 9 9 9 8 8 9 10 11 9 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 7 7 7 9 11 13 14 14 14 14 15 16 16 14 11 9 8 8 7 6 5 5 5 5 6 7 8 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 7 6 5 4 3 3 3 3 4 4 4 4 4 nan
nan 9 9 9 9 8 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 8 8 7 8 9 10 9 9 8 9 9 9 9 9 11 12 13 12 10 8 6 6 6 6 6 7 8 9 11 11 12 12 12 11 10 9 8 8 9 10 10 10 9 9 9 10 9 8 6 7 8 9 9 9 9 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 9 10 11 13 14 13 11 10 9 8 7 7 7 6 6 6 6 7 8 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 8 7 6 5 4 3 3 3 3 3 4 4 4 5 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 9 9 10 10 10 9 8 9 11 13 13 10 8 7 6 6 6 6 7 7 8 8 9 9 10 11 12 11 11 10 10 10 10 10 10 10 9 9 9 8 7 7 9 10 9 9 9 9 9 8 8 7 8 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 7 6 6 6 7 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 5 4 3 3 3 3 3 4 4 4 5 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 10 10 10 9 9 8 8 7 7 8 9 10 10 10 10 10 9 9 10 11 11 10 9 8 8 8 7 7 7 7 7 7 7 8 9 10 11 11 12 12 12 11 11 11 10 10 10 9 9 8 8 9 10 10 10 9 10 10 9 9 8 8 9 10 11 10 10 9 8 8 7 8 8 8 7 8 8 8 8 8 9 9 9 10 11 10 10 10 10 10 9 9 9 9 9 9 8 9 9 10 10 9 6 3 1 -1 -1 -1 -0 3 6 8 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 9 9 9 8 8 7 6 5 4 3 3 3 3 3 4 4 4 5 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 10 10 10 9 8 7 7 8 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 10 11 11 12 13 13 13 12 12 11 11 10 9 8 9 10 10 9 9 9 10 10 9 9 9 10 10 11 11 11 11 10 9 8 8 9 9 9 8 8 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 7 4 2 0 -2 -2 -2 -0 3 6 9 10 11 12 12 12 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 8 7 6 5 4 3 3 3 3 3 4 4 4 5 nan
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nan 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 9 9 10 10 10 9 9 9 8 8 9 9 9 8 8 8 8 9 9 9 8 9 9 9 9 10 11 12 13 13 12 11 10 9 10 10 10 10 10 11 12 11 11 11 11 11 11 10 7 4 3 4 7 10 11 11 11 10 8 8 8 7 7 8 8 9 10 11 12 12 11 10 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 11 12 14 16 17 16 14 12 12 12 15 17 19 20 20 18 16 13 12 12 11 9 8 8 7 7 6 7 7 8 8 8 8 7 7 7 7 7 7 7 8 10 11 12 nan
nan 8 8 8 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 7 4 2 2 5 9 10 10 10 9 8 8 8 9 9 9 9 10 11 11 11 12 12 12 11 11 10 9 10 10 9 9 9 9 10 9 9 9 10 9 8 7 7 7 8 9 10 10 11 11 11 10 8 6 4 4 4 6 9 10 11 10 9 11 13 14 12 9 8 7 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 8 9 10 11 12 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 6 4 3 3 6 9 11 10 10 9 8 8 9 9 9 10 10 10 11 11 11 10 10 11 12 13 12 11 10 10 10 10 9 9 8 8 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 7 4 3 2 2 1 2 4 7 10 11 9 8 7 6 7 7 8 8 8 9 9 8 8 7 7 7 7 7 7 8 9 10 10 10 nan
nan 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 8 9 9 9 9 9 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 10 9 8 7 6 6 6 6 6 5 6 8 10 12 11 10 9 9 9 9 9 10 10 9 9 10 10 10 10 9 10 11 13 14 12 10 9 9 10 9 9 8 7 6 5 6 7 7 8 8 9 9 10 10 9 10 10 11 10 10 11 13 15 17 17 15 13 10 8 6 7 9 10 10 8 8 9 10 10 10 11 11 11 10 10 9 9 9 10 10 10 9 8 8 8 9 8 8 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 9 9 10 10 11 11 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 8 8 9 11 12 12 13 12 12 11 10 10 10 9 10 9 9 10 10 9 7 6 5 6 6 7 7 7 9 11 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 12 10 8 7 7 8 9 8 8 7 5 6 7 7 8 8 9 10 11 11 11 10 10 11 11 10 10 11 13 15 17 19 21 22 21 20 20 21 22 21 19 16 16 17 17 17 16 16 15 14 12 12 12 13 16 16 15 12 9 8 8 8 8 8 8 9 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 9 10 10 11 11 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 10 10 11 10 10 9 8 8 8 8 7 6 5 5 8 11 13 13 13 11 10 10 10 9 9 9 10 10 11 11 10 9 6 5 5 6 7 8 8 9 9 10 11 11 11 10 10 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 8 7 6 6 7 8 8 8 8 7 7 8 8 8 8 9 10 10 11 11 12 12 12 12 11 11 11 11 11 12 13 15 18 20 22 22 24 25 27 26 24 23 23 23 23 23 23 21 19 17 16 16 16 18 19 18 15 11 9 8 9 9 9 10 10 9 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 9 6 5 4 4 3 2 2 5 9 13 15 14 11 8 7 7 7 7 7 9 10 11 10 9 8 6 5 5 6 7 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 9 9 8 8 7 6 6 6 7 8 8 9 9 9 8 8 9 10 9 9 9 9 10 10 11 12 12 13 12 11 11 11 11 11 11 11 11 12 13 15 16 18 18 19 18 18 19 20 21 22 22 23 22 21 21 22 21 20 18 16 13 11 10 11 11 12 12 12 11 10 9 nan
nan 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 8 9 9 9 9 9 9 10 9 9 9 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 12 12 10 6 2 0 1 3 4 5 6 8 12 15 17 14 9 5 4 5 5 5 6 8 10 10 9 7 5 5 6 6 7 7 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 8 8 7 7 8 7 7 6 6 7 8 9 9 10 10 9 9 9 10 10 10 10 9 9 10 10 11 12 13 13 12 11 11 11 11 11 11 11 10 10 10 11 12 12 12 11 11 11 11 12 13 14 15 16 18 20 22 23 23 21 17 14 12 12 14 16 16 16 14 11 10 8 7 nan
nan 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 8 9 10 10 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 9 10 10 11 12 12 12 12 12 12 11 11 10 11 11 11 7 2 -1 -0 4 7 9 9 10 11 13 15 14 11 6 3 3 3 4 4 5 7 8 9 9 7 6 6 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 6 6 6 7 9 10 11 11 10 9 10 10 11 11 10 10 10 10 10 11 12 12 13 13 13 12 12 12 11 11 11 9 8 8 9 10 11 11 10 9 8 8 9 9 10 10 10 11 13 16 17 18 19 19 19 17 16 16 16 15 14 12 9 7 6 6 6 nan
nan 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 10 10 10 9 8 8 7 6 6 7 8 9 9 10 11 12 11 10 10 10 10 10 10 9 8 8 9 9 10 10 11 12 12 12 12 12 12 11 11 10 10 10 9 5 2 1 3 9 12 12 12 11 11 12 12 10 7 4 3 3 4 5 5 5 6 7 8 8 8 8 8 7 7 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 6 6 7 7 7 6 6 6 7 9 10 11 11 10 10 10 10 11 11 10 10 10 10 10 11 11 12 12 12 13 14 13 13 11 10 9 8 7 6 7 9 9 10 10 10 9 9 8 9 9 10 10 10 11 12 12 13 13 14 15 16 16 14 11 8 5 3 2 1 2 4 5 6 nan
nan 7 7 6 7 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 9 8 8 7 6 5 5 7 8 8 9 11 12 13 13 12 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 11 11 11 10 10 9 8 6 5 6 8 12 14 14 13 13 13 13 11 9 8 6 6 6 7 8 9 9 9 9 8 7 7 6 6 7 7 7 7 7 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 7 5 4 4 5 6 7 7 7 8 9 10 11 12 11 11 11 10 10 10 11 11 10 10 10 10 10 11 11 11 11 12 13 13 13 11 10 9 8 6 5 6 8 8 9 9 10 10 10 9 9 10 10 10 11 11 12 12 12 11 11 12 12 12 11 7 3 -0 -3 -3 -2 -0 2 5 7 8 nan
nan 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 6 5 4 5 6 7 8 9 10 12 13 15 14 13 11 9 8 9 8 8 9 10 10 11 11 10 9 9 9 10 10 10 11 11 11 10 9 9 9 9 9 11 13 14 14 14 15 15 14 12 11 11 10 10 10 10 10 11 11 12 11 10 7 5 4 4 5 6 6 6 6 6 6 5 5 6 6 7 8 9 9 9 9 9 9 8 7 6 5 5 5 6 7 8 9 10 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 10 9 8 7 5 6 8 9 9 9 10 11 12 12 11 10 11 11 11 11 12 12 12 12 11 11 11 10 9 5 2 -1 -2 -2 -1 1 4 7 9 9 10 nan
nan 10 9 9 9 9 9 8 8 8 8 9 10 9 9 8 8 8 8 8 8 8 8 6 4 4 5 6 7 7 7 9 11 13 14 15 13 11 9 9 8 8 8 9 10 10 10 10 9 7 7 7 8 8 9 11 12 12 10 10 10 11 11 10 10 11 11 11 11 12 12 12 12 13 13 13 12 12 11 10 9 10 10 10 8 7 5 4 4 4 4 3 2 3 3 4 5 5 6 6 6 7 8 9 9 9 8 8 7 7 7 8 9 9 9 10 11 12 13 13 12 11 11 10 10 9 8 8 9 10 10 10 9 9 8 8 8 8 9 10 10 9 9 8 9 9 9 9 7 6 7 9 9 9 10 11 12 13 13 12 12 12 11 11 12 12 12 12 12 11 11 10 7 4 0 -2 -2 -1 1 4 6 8 10 10 10 10 nan
nan 11 11 11 10 10 9 9 8 8 9 9 9 9 8 8 7 7 7 8 9 9 8 6 4 4 5 6 6 6 6 8 10 12 13 13 12 11 10 9 9 8 9 9 9 9 9 9 8 6 6 7 7 7 8 9 11 11 11 11 11 11 10 9 9 9 9 7 7 7 9 10 12 13 14 14 13 12 10 7 6 6 6 7 7 6 6 5 5 5 3 2 -0 -1 -0 1 3 4 6 6 6 6 7 8 8 8 7 7 7 8 9 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 8 9 10 10 9 8 8 8 8 9 8 6 7 8 9 10 10 10 11 13 14 13 12 12 11 11 11 12 12 12 12 12 11 10 7 3 -1 -3 -3 -1 1 4 7 9 10 10 10 10 10 nan
nan 12 12 11 11 10 10 9 8 8 8 8 8 8 7 7 6 6 6 7 8 8 7 5 4 5 6 7 6 5 6 7 9 11 12 12 11 11 10 10 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 8 8 9 10 10 11 10 9 8 8 8 7 5 6 8 10 12 13 13 14 14 13 11 8 5 4 5 6 7 7 7 7 7 6 6 6 5 4 2 1 1 0 1 3 4 6 6 6 5 5 6 6 6 7 8 9 9 8 7 7 8 9 8 8 7 7 7 7 8 9 9 9 8 8 8 9 9 8 8 8 8 9 10 11 11 10 10 8 8 7 7 8 7 7 8 9 10 10 10 10 10 12 12 12 12 11 11 11 11 11 12 12 12 12 11 10 6 3 1 1 2 3 5 7 9 10 10 10 10 10 10 nan
nan 12 12 11 10 10 9 8 7 6 6 7 7 7 6 6 5 5 5 6 7 8 7 5 5 6 7 7 6 5 5 5 7 9 11 11 11 11 11 10 10 10 10 9 9 9 9 8 6 6 6 6 7 7 7 7 7 8 9 10 10 10 9 9 9 8 7 7 9 12 15 16 15 14 14 14 13 11 8 6 7 8 9 10 10 10 10 10 11 11 11 11 10 9 7 4 1 -1 -0 2 4 6 6 5 5 5 5 5 6 6 6 6 6 7 8 9 9 8 7 7 6 6 6 6 7 8 8 9 10 11 11 11 10 10 10 12 13 14 14 13 11 9 7 6 6 6 7 7 8 9 10 10 10 9 9 9 10 11 12 12 11 10 10 10 10 11 12 12 11 11 10 8 7 7 8 8 8 8 8 9 9 10 10 10 10 10 nan
nan 11 11 10 9 8 7 6 6 5 6 6 6 6 6 6 5 5 5 6 7 7 7 7 7 7 8 8 7 5 3 2 3 6 8 9 11 11 11 10 10 10 10 10 10 9 8 7 6 6 6 7 8 8 8 8 7 7 8 9 10 10 10 10 9 8 8 10 13 15 16 16 15 14 13 13 12 10 9 10 11 12 13 14 15 15 15 16 17 17 17 15 15 13 12 9 6 3 1 0 1 3 5 6 7 6 6 6 6 6 7 7 9 10 12 12 12 10 9 9 8 8 7 7 6 7 8 10 11 12 12 11 10 10 10 11 13 14 14 13 11 8 6 5 5 7 8 8 9 10 10 10 9 8 8 10 11 12 13 13 11 10 9 9 10 11 11 11 11 10 9 9 11 12 11 10 8 7 8 8 9 9 10 10 10 10 nan
nan 10 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 7 5 3 2 1 3 5 7 9 10 10 10 10 11 11 11 10 9 7 6 6 7 7 8 9 9 9 9 8 7 7 8 9 10 10 10 9 8 9 10 12 14 14 13 13 13 13 12 10 10 10 11 12 12 13 14 15 16 17 18 19 19 19 18 18 17 17 16 14 11 8 5 2 2 4 6 8 8 8 7 8 9 10 11 11 12 12 12 11 10 9 9 9 9 9 8 8 8 9 11 11 11 10 9 9 9 9 10 11 13 13 12 10 7 6 6 7 9 10 10 11 10 10 10 9 9 9 11 13 14 15 13 11 9 8 8 10 11 11 11 10 8 8 9 10 10 9 7 6 6 7 8 9 9 10 10 10 10 nan
nan 10 9 9 9 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 5 4 3 3 4 5 7 9 11 12 12 12 12 12 11 9 7 5 5 6 7 8 8 8 9 10 10 8 7 7 8 8 10 10 9 9 9 9 10 10 11 11 12 12 12 12 11 10 10 10 9 9 8 8 9 10 12 14 14 15 16 18 20 20 21 21 22 22 21 19 16 13 10 9 9 10 10 9 9 9 10 11 11 10 9 8 7 7 7 8 9 9 9 10 9 9 9 10 10 9 8 7 8 9 10 10 11 12 13 12 11 9 8 7 8 10 12 12 13 12 11 11 10 9 9 10 11 13 14 13 11 9 8 7 8 10 10 11 10 9 8 8 9 9 7 6 5 5 7 8 9 9 9 9 9 9 9 nan
nan 9 10 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 8 8 8 9 9 9 7 6 6 6 5 5 5 6 6 7 9 12 13 14 13 12 11 10 9 8 7 7 7 8 9 9 8 8 8 9 9 9 7 7 7 8 9 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 10 9 8 6 6 6 6 7 9 10 10 11 12 14 17 18 20 21 22 24 25 25 25 24 21 17 14 13 12 11 10 10 10 10 8 7 6 5 5 6 7 8 9 9 9 9 10 10 10 10 9 8 8 9 11 11 12 12 13 14 14 13 12 10 10 10 11 12 13 14 14 14 13 11 10 9 9 10 11 12 13 11 9 8 6 7 9 10 10 10 9 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 7 8 8 9 10 11 10 9 7 6 5 5 5 6 6 7 8 11 14 15 14 12 9 7 7 7 7 7 8 9 10 10 10 9 9 9 9 10 9 8 7 6 8 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 7 6 6 5 6 7 8 8 9 10 11 11 12 13 15 16 17 18 20 22 23 23 21 18 16 14 13 12 10 10 9 9 9 8 8 7 7 7 8 9 9 9 9 9 10 10 11 12 13 12 12 13 13 13 13 14 15 15 15 14 13 12 12 13 13 14 14 14 15 14 13 11 10 9 9 10 10 12 11 10 8 7 7 8 9 10 10 10 9 8 8 9 9 10 11 12 12 12 11 10 10 10 10 9 9 9 8 nan
nan 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 7 7 8 9 10 11 11 10 7 6 5 5 6 6 7 8 10 13 17 17 14 11 7 7 7 7 7 7 8 9 10 11 11 10 10 10 10 10 10 8 7 6 7 9 9 10 10 10 10 10 10 10 10 10 10 9 8 9 9 9 8 7 6 6 6 6 7 8 9 9 10 11 10 10 11 12 13 13 12 12 13 13 13 13 12 13 13 12 10 9 9 9 9 9 9 9 8 7 6 6 7 7 8 9 10 11 12 14 15 16 17 16 15 15 15 15 15 16 16 15 13 12 12 13 14 14 14 13 13 14 13 12 10 9 9 9 10 11 11 10 9 8 7 8 9 9 10 10 10 9 9 9 9 9 11 12 14 15 14 12 11 10 10 9 9 9 8 8 nan
nan 11 12 12 11 11 10 10 10 11 11 11 10 10 9 9 8 7 6 6 6 8 9 10 11 10 8 6 6 5 6 6 7 9 12 16 18 17 14 11 9 9 8 8 8 8 8 9 9 10 11 11 10 11 11 11 10 9 8 7 8 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 8 7 7 6 7 7 8 8 9 11 11 11 11 11 11 11 11 10 9 7 5 5 5 6 7 8 9 8 8 7 8 8 8 7 6 5 4 3 2 2 2 4 6 8 10 13 15 17 17 17 17 16 16 15 15 15 15 14 13 12 11 10 11 12 12 12 12 12 12 13 12 11 9 8 8 9 10 10 10 10 9 8 8 9 9 10 10 10 10 9 9 9 9 9 10 12 13 15 15 14 12 11 10 9 9 9 8 8 nan
nan 12 12 13 12 12 12 12 12 12 12 11 11 10 10 10 8 7 5 4 5 7 9 11 11 10 8 7 6 6 6 6 7 10 13 17 18 16 13 11 10 10 10 10 9 8 8 9 9 10 11 11 11 11 11 11 11 10 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 6 6 7 7 8 9 10 11 12 13 11 10 10 10 10 10 10 10 9 8 6 6 5 5 5 5 4 4 4 5 5 4 3 2 1 0 0 0 -0 0 1 3 6 9 12 14 16 16 15 15 14 14 14 13 12 12 10 9 9 9 10 10 11 11 11 10 10 11 12 12 11 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 13 15 16 15 14 12 11 10 10 10 9 8 nan
nan 11 12 12 12 12 12 13 13 13 13 12 11 11 11 10 8 7 6 5 6 8 10 12 12 11 10 9 8 7 6 6 7 9 13 15 15 13 12 11 10 11 11 10 10 10 10 10 10 10 11 11 11 12 12 11 11 10 9 9 8 8 8 9 9 9 10 10 9 9 8 8 9 11 12 10 9 6 5 5 6 7 8 9 10 11 12 12 11 10 9 9 10 11 12 14 16 18 18 16 13 11 9 7 5 4 3 3 2 2 1 1 2 2 3 3 3 4 4 5 5 6 8 8 10 11 12 12 12 12 12 11 10 9 8 7 8 9 10 10 11 10 10 9 9 9 10 12 12 13 12 10 9 9 9 9 10 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 12 14 15 16 15 14 12 12 11 11 10 9 nan
nan 10 11 11 11 11 12 12 13 13 13 12 12 12 11 10 9 8 7 7 7 9 11 12 13 13 12 10 9 8 7 7 7 8 11 13 12 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 10 8 7 6 6 7 8 9 10 10 9 9 8 7 7 8 11 12 12 9 5 3 5 7 9 10 10 11 11 11 10 9 9 9 10 11 12 14 17 20 22 22 22 20 17 15 13 11 10 8 7 6 5 5 6 7 8 9 10 10 11 11 12 12 11 10 9 9 10 11 11 11 10 10 9 8 8 7 8 9 10 10 10 10 10 10 10 9 10 10 11 13 14 13 12 10 9 9 9 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 12 11 11 12 13 13 15 15 15 14 14 13 13 12 11 nan
nan 10 10 11 11 11 11 12 12 13 13 13 13 13 12 10 9 9 9 8 7 8 10 13 14 14 12 11 10 9 8 7 7 8 10 11 11 11 11 12 11 10 9 9 9 10 11 12 12 13 12 11 11 11 12 11 11 9 7 4 3 4 6 8 9 9 9 8 8 8 7 7 9 11 12 11 9 4 4 6 9 11 11 11 11 11 10 10 9 9 10 11 12 13 14 15 16 17 18 20 20 19 18 17 17 17 16 15 14 14 13 13 13 14 14 15 15 16 17 17 17 16 15 14 13 13 13 12 10 9 8 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 12 14 15 14 13 10 9 8 9 9 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 12 12 11 12 14 15 16 17 17 18 18 16 15 nan
nan 10 11 11 12 11 11 11 12 13 14 14 14 13 12 10 10 9 9 8 8 8 10 12 14 13 11 9 9 9 8 8 7 8 9 10 10 10 11 11 10 9 9 8 8 9 10 12 13 13 13 12 11 11 11 12 12 10 8 5 4 4 6 8 9 9 8 8 8 7 7 7 8 9 10 10 7 4 6 9 11 12 13 12 12 12 11 11 10 10 11 11 12 13 12 11 11 12 13 15 16 17 18 19 20 21 22 22 21 20 19 18 18 17 17 18 19 19 20 19 18 17 16 16 16 16 14 11 8 7 6 7 8 9 10 10 10 10 10 10 11 11 11 10 10 10 12 14 15 16 15 12 10 8 7 8 9 9 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 12 11 12 13 14 17 19 22 22 22 20 19 nan
nan 10 11 12 12 11 11 11 12 13 14 15 15 14 13 12 11 11 10 9 8 9 10 12 13 11 9 7 7 8 8 8 7 7 9 10 10 10 10 10 10 9 8 8 8 9 10 11 12 13 13 13 12 11 12 12 13 13 12 10 9 8 9 8 8 7 6 5 5 5 5 6 7 8 8 8 6 6 8 11 13 14 13 13 13 13 12 11 11 11 11 12 13 12 11 10 9 9 10 11 12 13 15 17 19 21 22 22 21 21 20 20 20 20 20 20 20 20 19 18 17 15 15 16 17 17 14 10 8 6 6 7 9 9 9 9 10 10 11 11 11 12 12 11 10 11 13 15 15 15 14 11 9 7 7 7 8 9 10 10 10 11 11 11 11 11 11 11 11 12 13 14 14 13 12 12 12 12 13 16 19 22 22 21 21 21 nan
nan 10 11 11 11 11 11 11 11 12 13 14 15 15 15 14 13 13 12 11 10 10 10 11 11 10 8 7 7 8 8 8 7 7 8 9 11 11 10 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 12 13 14 15 15 15 13 11 9 6 5 3 2 1 2 4 5 6 7 8 7 7 8 10 12 14 14 14 14 14 13 12 11 11 11 13 13 13 12 10 8 8 8 9 10 10 10 11 13 15 16 16 16 17 17 18 18 19 19 19 19 18 17 16 15 14 14 15 17 19 18 15 11 9 7 7 9 9 9 9 9 10 11 11 11 12 12 11 11 10 11 12 13 14 15 13 10 8 7 6 7 8 8 9 10 11 11 11 11 11 10 10 10 10 12 13 14 14 13 12 12 11 11 12 14 15 16 16 17 18 20 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1632 1683 1762 1892 2053 2197 2320 2437 2491 2607 2743 2810 2814 2798 2762 2695 2630 2612 2581 2551 2523 2503 2491 2479 2468 2442 2414 2405 2401 2355 2253 2112 1938 1781 1655 1583 1551 1535 1515 1502 1525 1536 1554 1602 1648 1681 1688 1674 1676 1744 1768 1683 1581 1460 1378 1344 1224 986 775 523 304 217 197 285 426 580 821 1205 1440 1604 1713 1787 1853 1915 1968 2030 2143 2256 2344 2407 2483 2612 2864 3145 3057 2593 2286 2171 2168 2265 2450 2749 3142 3494 3566 3597 3670 3479 3292 3282 3308 3357 3244 3120 2783 2526 2436 2520 2639 2712 2702 2717 2616 2489 2353 2276 2254 2314 2536 2264 2256 2388 2462 2477 2501 2571 2630 2524 2430 2368 2342 2306 2234 2145 2097 2105 2129 2051 1979 1841 1665 1571 1612 1649 1598 1382 1289 1257 1248 1273 1341 1322 1244 1194 1122 1026 984 975 910 963 1046 901 896 981 1038 1083 1134 1116 1209 1258 1232 1236 1281 1308 1265 1204 1193 1186 1181 1177 1172 1167 1132 1033 897 857 889
1711 1789 1873 1998 2157 2298 2401 2491 2477 2554 2700 2814 2840 2805 2778 2713 2636 2575 2541 2501 2447 2393 2350 2323 2311 2303 2291 2283 2271 2228 2143 2013 1837 1655 1546 1489 1473 1490 1513 1520 1537 1571 1592 1633 1721 1780 1819 1852 1886 1997 2001 1940 1898 1813 1514 1096 724 368 203 189 190 248 467 800 1075 1235 1407 1577 1691 1771 1820 1858 1909 1980 2072 2198 2331 2415 2493 2568 2646 2727 2838 3000 2927 2600 2371 2359 2445 2560 2703 2843 2978 2998 2913 2961 3085 3075 3047 2987 2820 2778 2976 3016 2804 2596 2554 2599 2644 2514 2109 2482 2427 2253 2107 2124 2347 2377 1897 2037 2228 2337 2374 2386 2379 2399 2414 2368 2328 2278 2240 2199 2117 1987 1855 1861 1933 1902 1847 1753 1641 1604 1644 1659 1455 1288 1225 1212 1193 1166 1199 1199 1159 1123 1077 1027 1014 1017 917 921 1037 914 843 872 929 1024 1060 1123 1136 1056 1001 1087 1227 1310 1289 1271 1275 1249 1203 1147 1121 1157 1172 1162 1076 1013 1000
1793 1899 1991 2102 2239 2379 2441 2506 2503 2544 2643 2753 2819 2824 2798 2737 2674 2607 2541 2463 2372 2286 2223 2186 2178 2173 2161 2150 2129 2085 2011 1899 1734 1560 1487 1434 1402 1409 1456 1511 1535 1573 1638 1697 1792 1860 1927 2036 2104 2110 2036 2002 1992 1867 1327 634 290 167 153 221 360 597 980 1353 1570 1707 1807 1881 1871 1863 1893 1939 1985 2049 2169 2319 2415 2511 2577 2615 2657 2713 2755 2811 2780 2594 2468 2475 2532 2577 2637 2773 2839 2762 2549 2578 2709 2834 2911 2852 2695 2376 2303 2455 2570 2611 2657 2727 2437 2642 2419 2369 2322 2144 1909 1839 2187 2290 2003 1946 2096 2189 2173 2170 2147 2110 2083 2117 2177 2171 2125 2099 2070 2011 1914 1876 1932 1936 1873 1790 1689 1642 1644 1720 1620 1482 1401 1370 1346 1300 1280 1244 1205 1158 1102 1055 1024 1039 1028 972 1023 988 901 840 831 969 968 1054 1057 1016 1019 1103 1216 1273 1304 1287 1314 1297 1215 1165 1183 1213 1267 1303 1265 1183 1115
1863 2000 2097 2185 2287 2420 2497 2562 2587 2602 2602 2610 2673 2777 2792 2744 2688 2629 2558 2465 2353 2246 2169 2114 2099 2080 2056 2031 1998 1950 1882 1789 1648 1503 1435 1379 1331 1308 1312 1335 1404 1511 1633 1670 1766 1888 1995 2107 2154 2114 1909 1615 1197 671 285 164 126 141 210 403 728 1144 1596 1943 2053 2028 1975 1950 1915 1889 1899 1940 1997 2085 2213 2334 2450 2545 2590 2610 2644 2692 2740 2770 2797 2676 2563 2553 2654 2826 2968 2913 2785 2779 2662 2596 2617 2681 2785 2822 2815 2657 2489 2447 2485 2506 2380 2116 1970 2205 2467 2598 2598 2514 2336 2134 2223 2314 2183 2073 2078 2112 2077 2056 2023 1939 1858 1932 2043 2061 2030 2039 2052 2060 2035 2028 2027 2003 1953 1914 1821 1800 1778 1842 1877 1846 1772 1694 1664 1630 1519 1429 1394 1338 1254 1226 1229 1261 1184 1124 1105 1065 988 955 943 1039 1052 1061 1063 1058 1035 1072 1148 1230 1300 1298 1273 1286 1287 1276 1279 1257 1279 1317 1299 1236 1175
1896 2067 2190 2251 2313 2432 2573 2655 2647 2615 2553 2499 2537 2636 2697 2691 2662 2626 2571 2488 2378 2265 2183 2114 2077 2038 1996 1952 1909 1864 1797 1706 1589 1481 1413 1354 1297 1251 1238 1271 1374 1476 1595 1688 1792 1930 2071 2160 2092 1882 1451 944 500 206 89 67 66 93 202 497 927 1432 1929 2273 2316 2196 2082 1996 1938 1904 1893 1907 1959 2060 2178 2301 2442 2539 2587 2636 2709 2784 2850 2881 2933 2855 2731 2691 2768 2877 2913 2683 2412 2269 2189 2129 2090 2016 1931 2008 2281 2556 2722 2696 2560 2497 2370 2206 2241 2383 2396 2288 2204 2200 2155 2041 2049 2213 2316 2258 2209 2244 2254 2211 2133 2034 1973 1986 2008 1999 2024 2077 2164 2220 2235 2245 2256 2256 2220 2232 2223 2248 2286 2284 2277 2254 2167 2078 1998 1837 1704 1713 1751 1702 1645 1600 1478 1417 1389 1362 1332 1295 1232 1173 1158 1215 1248 1197 1121 1119 1110 1121 1160 1198 1226 1269 1332 1383 1378 1316 1265 1245 1257 1260 1260 1269 1219
1923 2111 2251 2312 2352 2409 2571 2637 2633 2586 2503 2433 2445 2519 2576 2586 2585 2575 2559 2512 2415 2304 2227 2168 2115 2057 1993 1935 1886 1835 1779 1693 1594 1510 1443 1378 1318 1286 1295 1319 1436 1533 1647 1783 1938 2068 2076 1900 1490 1055 653 340 145 51 16 10 14 21 100 324 664 1078 1520 1913 2138 2101 2063 2004 1945 1895 1859 1848 1884 1983 2086 2209 2337 2430 2494 2558 2636 2738 2885 2963 3050 3097 3045 2903 2840 2722 2308 2041 1862 1737 1646 1601 1648 1620 1662 1738 1804 1958 2135 2207 2203 2204 2183 2165 2168 2123 1948 1773 1648 1538 1533 1460 1494 1650 1879 2125 2293 2446 2473 2419 2360 2327 2292 2253 2231 2277 2411 2478 2548 2598 2633 2628 2637 2653 2611 2637 2695 2702 2641 2601 2649 2639 2541 2486 2451 2427 2383 2291 2190 2101 1989 1883 1776 1721 1684 1642 1614 1601 1546 1502 1499 1487 1415 1306 1213 1210 1244 1298 1323 1274 1232 1287 1334 1387 1334 1244 1212 1213 1216 1271 1315 1304 1243
1945 2123 2243 2305 2390 2372 2515 2525 2489 2447 2390 2323 2301 2328 2368 2393 2420 2446 2465 2447 2373 2292 2233 2186 2143 2093 2028 1967 1926 1865 1808 1726 1633 1564 1513 1445 1372 1365 1396 1475 1588 1700 1817 1973 2137 2121 1674 1117 637 305 141 68 28 8 1 0 0 1 19 87 215 396 639 986 1303 1407 1551 1688 1733 1713 1685 1686 1721 1785 1844 1909 1988 2080 2180 2268 2379 2552 2731 2874 3020 3143 3157 3025 2871 2626 2300 1998 1809 1722 1686 1726 1863 2005 2228 2142 1706 1451 1516 1584 1699 1737 1741 1734 1675 1559 1528 1553 1407 1323 1294 1233 1297 1457 1637 1879 2139 2454 2591 2743 2798 2801 2892 2927 2748 2755 2801 2857 2873 2780 2652 2691 2851 2786 2719 2776 2935 3032 2967 2881 2913 2862 2853 2911 2937 2892 2779 2659 2538 2453 2352 2245 2139 2044 1976 1936 1930 1915 1876 1825 1726 1592 1453 1373 1361 1387 1445 1498 1461 1398 1395 1296 1308 1391 1296 1192 1158 1140 1077 1098 1196 1290 1299
1936 2115 2242 2275 2361 2326 2392 2416 2404 2351 2272 2202 2146 2106 2117 2155 2214 2257 2261 2238 2218 2191 2157 2134 2132 2113 2059 1999 1958 1896 1838 1759 1667 1613 1594 1574 1550 1573 1637 1732 1844 1948 2017 2053 1967 1545 830 378 148 43 11 4 1 0 0 0 0 0 1 2 14 46 103 209 266 394 578 793 985 1122 1144 1161 1160 1185 1219 1237 1279 1404 1564 1691 1851 2053 2250 2447 2632 2783 2887 2910 2810 2670 2481 2293 2162 2121 2175 2360 2554 2638 2394 1855 1559 1618 1582 1479 1513 1537 1544 1516 1458 1420 1442 1445 1431 1448 1443 1438 1487 1584 1697 1857 2005 2343 2619 2806 2816 2756 2817 2874 2618 2587 2575 2584 2542 2463 2482 2745 2768 2556 2474 2575 2762 2923 2946 2923 2922 2817 2850 2956 2976 2901 2798 2722 2635 2564 2477 2392 2352 2353 2327 2294 2240 2170 2111 2026 1862 1701 1510 1396 1391 1539 1672 1563 1394 1314 1237 1120 1157 1223 1213 1198 1125 1054 1045 1109 1218 1340 1402
1900 2078 2248 2279 2293 2270 2306 2351 2338 2281 2222 2145 2038 1964 1938 1955 2015 2061 2067 2056 2057 2050 2057 2053 2068 2079 2065 2029 1984 1933 1882 1805 1724 1686 1697 1719 1731 1835 1961 1985 2043 2118 2071 1792 1292 635 241 84 22 3 0 0 0 0 0 0 0 0 0 0 0 0 2 12 15 35 63 117 176 268 385 421 413 416 440 465 492 573 745 919 1052 1227 1433 1645 1837 2009 2191 2372 2518 2651 2738 2745 2693 2710 2842 3066 3167 3159 2933 2611 2410 2353 2162 1958 1876 1833 1806 1790 1785 1756 1707 1711 1711 1728 1743 1754 1767 1774 1790 1983 2105 2329 2562 2672 2612 2457 2272 2130 2000 2027 2114 2146 2116 2196 2300 2413 2337 2120 2051 2197 2373 2457 2441 2536 2639 2604 2648 2790 2814 2573 2527 2309 2242 2235 2241 2314 2468 2500 2461 2389 2257 2112 1996 1940 1879 1696 1502 1336 1349 1464 1442 1305 1270 1218 1189 1213 1259 1260 1186 1278 1145 1050 1084 1189 1332 1479 1545
1849 2000 2178 2260 2289 2263 2270 2310 2341 2325 2252 2168 2066 1964 1896 1859 1863 1889 1909 1916 1926 1915 1922 1889 1895 1946 1996 2006 1975 1947 1920 1869 1818 1793 1809 1858 1896 1997 2142 2193 2241 2221 1936 1325 625 180 61 20 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 10 17 27 49 56 53 61 81 96 118 178 284 361 454 608 803 980 1151 1349 1610 1906 2129 2306 2507 2652 2820 3047 3251 3239 3191 3149 3124 3049 2845 2624 2458 2315 2203 2127 2089 2070 2014 1935 1941 1947 1954 1958 1960 1967 1959 1928 2052 2185 2308 2409 2446 2354 2282 2120 1955 1868 1883 1942 1977 1969 1986 1993 1984 1908 1745 1655 1741 1807 1852 2050 2220 2304 2312 2247 2229 2266 1771 1611 1525 1602 1685 1649 1824 2199 2186 2131 2029 1910 1824 1774 1800 1757 1658 1624 1618 1687 1779 1693 1445 1495 1470 1443 1488 1625 1653 1352 1366 1329 1334 1366 1429 1531 1651 1651
1831 1934 2071 2176 2234 2229 2224 2253 2260 2243 2258 2211 2098 1977 1886 1831 1805 1799 1806 1810 1811 1824 1832 1786 1739 1748 1809 1851 1871 1888 1918 1932 1926 1918 1930 1969 2026 2117 2227 2318 2373 2201 1659 883 243 74 18 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 1 1 1 4 7 10 13 40 67 99 168 287 407 518 587 726 956 1155 1345 1637 1960 2257 2649 2896 2920 2866 2829 2797 2755 2692 2580 2473 2363 2265 2198 2168 2169 2080 2003 1986 1996 1997 1981 1967 1962 1963 1938 1966 2031 2079 2106 2109 2032 2032 2002 1920 1863 1834 1783 1709 1610 1527 1489 1474 1436 1384 1373 1449 1565 1718 1828 1826 1786 1668 1416 1327 1146 910 878 970 1080 1068 964 1073 1155 1378 1546 1561 1515 1556 1629 1649 1634 1705 1841 1960 2033 2078 2082 1934 1888 1850 1838 1857 1811 1719 1542 1564 1673 1780 1845 1788 1729 1760 1720
1851 1888 1962 2053 2117 2139 2149 2170 2177 2173 2186 2165 2096 2016 1940 1880 1833 1803 1794 1788 1807 1815 1808 1750 1659 1598 1611 1650 1731 1816 1909 1974 2001 2010 2044 2133 2161 2207 2222 2176 2031 1687 1113 483 100 31 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 4 10 20 52 99 152 158 187 254 360 523 731 1042 1421 1913 2228 2312 2288 2282 2284 2287 2251 2193 2127 2065 2018 1986 1948 1919 1869 1828 1809 1804 1794 1767 1741 1725 1714 1698 1695 1704 1713 1737 1740 1726 1721 1672 1568 1480 1409 1319 1213 1109 1037 999 1014 1050 1090 1132 1239 1374 1475 1429 1279 1119 946 770 742 661 592 593 626 672 663 660 707 807 1007 1166 1244 1281 1392 1523 1592 1610 1676 1760 1811 1857 1889 1891 1878 1834 1771 1697 1558 1424 1404 1477 1533 1619 1775 1760 1615 1663 1757 1756
1869 1861 1879 1942 2022 2063 2086 2100 2106 2106 2099 2085 2053 2019 1981 1945 1909 1878 1865 1865 1852 1856 1858 1815 1722 1625 1581 1584 1653 1736 1833 1941 2037 2104 2168 2235 2240 2219 2104 1818 1362 847 433 166 39 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 4 18 21 22 31 64 120 197 390 673 1030 1315 1523 1708 1718 1723 1736 1724 1689 1648 1618 1600 1592 1557 1525 1498 1477 1459 1437 1412 1395 1377 1359 1340 1331 1333 1334 1317 1303 1262 1197 1113 1029 964 898 831 787 753 721 695 702 763 815 838 865 931 979 989 965 909 793 683 586 563 556 531 493 491 558 626 677 686 737 824 906 1061 1157 1238 1297 1317 1302 1290 1256 1225 1146 1178 1228 1245 1220 1166 1150 1032 984 1069 1136 1156 1206 1352 1221 1087 1423 1661 1722
1902 1874 1842 1867 1929 1991 2038 2067 2082 2090 2092 2080 2060 2034 2022 2008 1990 1977 1958 1950 1968 1981 1968 1908 1813 1725 1669 1640 1676 1746 1840 1969 2113 2232 2321 2326 2296 2215 1963 1463 823 306 96 46 14 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 1 1 1 2 6 26 93 194 336 504 729 1073 1149 1189 1203 1198 1187 1177 1168 1160 1160 1142 1121 1105 1093 1080 1056 1034 1021 1004 986 964 931 896 851 798 747 690 626 551 493 490 479 458 456 472 491 525 582 615 589 560 573 616 649 652 656 670 603 552 537 533 522 507 473 475 544 674 748 726 678 689 794 909 960 948 892 807 727 671 664 659 637 660 696 717 677 631 699 755 831 859 857 877 913 971 1052 1190 1306 1390 1447
1954 1924 1885 1894 1921 1965 2015 2063 2102 2125 2133 2120 2109 2095 2084 2078 2074 2073 2079 2106 2156 2141 2080 1990 1883 1787 1729 1753 1856 1981 2080 2167 2259 2336 2387 2359 2316 2183 1829 1215 531 140 40 14 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 0 0 0 0 2 1 15 46 91 161 279 492 659 725 747 754 766 767 770 771 769 770 765 750 733 708 692 669 635 589 533 478 438 393 338 298 276 263 248 234 241 248 255 270 292 313 338 381 426 393 380 424 489 521 507 506 509 491 493 512 516 493 479 482 503 541 639 698 673 676 690 703 711 674 589 483 392 339 303 313 332 346 362 385 420 398 403 468 544 576 560 569 609 650 682 730 781 827 864 857
2001 1964 1930 1935 1959 1998 2040 2086 2135 2167 2186 2180 2171 2170 2170 2165 2159 2169 2209 2254 2303 2284 2213 2114 2007 1935 1961 1972 2067 2136 2089 2042 2159 2277 2208 2101 2015 1892 1588 1033 405 99 18 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 2 10 20 94 195 324 413 403 414 417 419 416 413 409 406 394 377 354 327 293 262 230 181 141 134 124 107 95 96 108 123 135 122 123 131 144 160 176 194 242 276 290 328 390 446 466 427 418 436 450 469 491 497 491 504 520 519 511 534 564 552 544 527 503 465 401 314 224 172 147 144 153 165 173 181 199 231 244 268 307 335 325 295 312 324 334 331 323 334 341 370 382
2054 2016 1993 2013 2060 2107 2134 2144 2157 2183 2217 2236 2235 2227 2220 2225 2244 2267 2331 2356 2388 2378 2312 2203 2080 1990 2005 2031 2117 2189 2171 2100 2065 1863 1431 1128 1026 1090 1060 756 332 78 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 2 3 58 154 150 150 147 133 120 114 110 104 84 96 95 84 68 56 50 40 32 26 27 27 28 34 45 59 67 63 57 57 63 77 95 100 136 174 213 262 326 385 393 408 434 448 454 461 470 469 478 495 496 476 450 430 410 379 356 331 301 265 220 163 103 77 66 65 69 75 81 84 96 115 129 139 147 151 145 143 149 150 148 142 131 136 135 147 183
2120 2070 2047 2076 2136 2184 2240 2288 2263 2273 2289 2285 2275 2267 2271 2297 2334 2306 2344 2340 2352 2346 2276 2146 2025 1954 1944 1997 2095 2209 2274 2185 1802 1113 548 300 247 335 422 348 171 45 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 27 24 24 22 18 13 8 6 9 4 5 9 12 13 13 14 11 7 2 2 4 7 10 13 23 27 26 23 21 19 22 35 38 48 72 102 132 177 222 275 338 395 436 454 454 447 437 432 424 407 382 354 325 290 259 236 219 195 166 135 100 69 50 41 37 36 37 41 41 44 52 57 60 63 68 70 76 81 86 92 95 93 91 89 90 103
2133 2113 2095 2153 2239 2256 2279 2366 2378 2378 2353 2337 2333 2331 2318 2291 2262 2194 2196 2195 2203 2211 2162 2026 1913 1875 1868 1849 1879 1970 2022 1824 1141 552 174 43 15 28 62 70 38 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 1 0 0 0 0 0 0 0 0 1 2 5 8 9 7 9 7 4 1 0 0 1 2 1 4 8 11 13 14 12 8 9 9 15 25 34 40 65 101 156 223 298 360 396 398 382 374 361 340 317 291 266 248 223 201 183 169 150 130 106 83 61 45 36 30 27 28 29 31 32 34 39 41 43 47 52 59 64 68 72 80 76 76 76 76 75
2330 2308 2296 2373 2381 2348 2359 2425 2485 2512 2492 2400 2295 2195 2090 1978 1925 1973 2041 2096 2140 2149 2062 1853 1648 1520 1420 1308 1221 1191 1143 847 357 140 40 6 0 1 2 4 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 11 10 10 8 4 1 0 0 0 0 0 0 0 2 5 10 10 7 4 2 5 12 18 25 41 62 91 131 182 230 263 279 280 281 279 272 256 228 212 199 186 179 171 149 128 114 99 84 70 59 50 39 35 35 33 33 35 35 36 38 39 40 44 49 54 60 60 67 69 69 69 69 70
2554 2529 2503 2503 2492 2481 2479 2475 2432 2364 2257 2141 2007 1869 1759 1707 1766 1892 2009 2066 2095 2048 1824 1449 1070 773 552 482 426 329 296 127 11 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 7 7 5 2 1 0 0 0 0 0 0 0 0 0 2 3 2 2 2 2 5 9 22 34 43 53 65 83 103 118 146 176 211 246 258 240 206 177 154 145 147 142 116 101 97 94 89 83 75 67 57 50 46 43 42 40 38 38 39 39 39 41 43 45 49 51 54 57 59 61 61 62
2644 2626 2587 2545 2499 2459 2425 2362 2210 2151 1990 1873 1784 1714 1695 1749 1839 1890 1934 1862 1683 1453 1221 929 529 259 110 64 46 24 14 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 13 22 27 27 23 24 27 31 53 88 131 186 222 211 177 137 111 104 106 98 82 77 79 82 85 86 84 79 70 61 54 51 47 43 40 39 39 39 38 38 38 37 37 39 41 41 47 49 52 55
2530 2580 2603 2614 2578 2492 2383 2271 2141 2070 1957 1847 1763 1714 1708 1761 1722 1689 1606 1393 1068 764 627 516 277 97 20 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 1 2 2 1 1 1 1 1 1 1 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 0 0 0 0 0 1 1 5 10 13 13 12 10 11 14 22 37 57 98 127 132 116 92 74 71 70 66 64 65 65 65 69 75 81 81 74 65 59 54 51 47 43 40 38 37 35 33 35 32 30 32 36 34 32 35 40 46
2118 2318 2456 2555 2549 2444 2317 2149 2008 1944 1875 1750 1605 1490 1414 1429 1321 1315 1200 970 705 481 335 245 125 39 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5 5 5 8 10 11 13 17 22 31 46 57 64 64 59 55 54 53 52 55 59 60 60 65 71 75 74 69 64 62 59 55 51 46 43 41 38 32 31 31 29 27 28 29 29 27 26 30 35
1766 1954 2062 2069 2003 1914 1826 1722 1607 1533 1464 1344 1203 1113 1080 1100 1072 1039 930 746 540 359 197 94 35 9 1 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 0 0 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 1 2 4 2 4 5 7 10 12 13 18 25 32 36 40 44 44 45 46 46 47 50 55 58 61 65 66 65 63 59 57 60 60 57 52 48 45 44 42 39 36 32 27 26 26 26 26 26 28 28 28
1443 1522 1510 1405 1289 1251 1293 1270 1189 1126 1083 991 869 805 771 732 734 742 688 562 409 266 126 45 12 3 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 6 9 12 11 14 21 28 33 36 39 41 41 41 42 46 50 55 60 64 63 59 56 56 53 52 56 58 56 52 50 47 45 44 43 41 36 27 25 25 25 25 26 30 28 26
1068 1075 1016 915 841 854 906 895 853 803 727 636 562 526 481 440 428 438 410 322 218 123 45 13 3 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 8 11 13 14 16 20 25 31 34 37 40 41 41 44 50 58 62 66 68 68 65 62 58 52 51 54 55 54 49 49 47 44 42 40 39 33 26 23 22 22 21 19 22 23 23
706 702 658 600 562 567 599 591 549 509 453 383 323 289 264 226 188 178 160 111 62 26 5 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 16 16 18 19 21 25 27 30 33 35 37 39 40 44 54 64 69 70 72 73 73 67 59 54 52 52 52 53 49 48 45 41 38 35 31 24 20 20 21 19 16 12 11 12 14
402 399 363 314 278 271 305 325 285 252 221 182 142 122 113 89 58 40 30 16 7 3 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 17 21 23 27 28 26 28 28 30 33 33 34 38 42 48 57 68 73 74 75 73 69 63 58 54 51 49 50 52 51 48 44 38 35 32 27 21 17 18 21 19 11 8 6 4 4
173 177 152 116 88 69 78 97 96 88 77 61 42 34 32 23 13 5 1 1 1 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 21 27 29 30 32 35 33 29 29 30 32 32 32 37 45 50 54 62 69 72 73 69 64 61 58 54 50 49 49 49 48 46 43 36 32 29 27 23 18 17 18 16 13 12 8 2 0
53 58 55 39 23 13 14 21 23 21 19 16 9 4 4 3 1 1 1 1 1 1 1 1 1 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 2 2 1 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 20 31 35 35 33 34 38 37 34 33 32 32 31 30 33 41 45 49 54 58 62 64 62 58 56 54 52 48 47 46 45 44 44 42 36 30 27 28 29 25 20 15 11 9 7 4 1 0
25 29 28 19 10 5 2 2 3 3 2 2 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 9 20 39 44 40 36 35 35 38 43 45 43 41 39 38 37 38 41 43 46 48 51 54 57 57 56 54 50 49 47 46 45 43 42 42 41 38 35 31 30 32 30 26 19 12 6 3 0 1 1
8 10 9 7 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 12 18 25 34 39 37 33 33 39 46 52 58 60 57 53 50 48 47 47 48 50 50 51 53 55 56 56 57 52 50 49 48 47 46 45 44 43 42 40 39 38 36 33 28 22 15 10 8 6 7 7
3 4 2 1 1 1 2 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 22 32 35 31 26 24 23 24 26 33 43 52 57 58 61 65 65 64 61 58 59 59 58 58 57 55 55 55 57 56 54 53 54 52 51 49 48 48 47 45 44 42 38 34 29 24 18 12 12 13 12 9
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