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 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 6 6 6 7 8 10 11 12 13 13 12 12 11 11 11 11 11 10 9 7 7 7 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 9 10 10 9 8 8 7 7 7 7 7 8 9 9 9 10 10 9 10 10 11 12 12 12 11 11 10 9 9 8 6 6 6 6 7 7 8 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 10 9 9 8 7 7 6 7 6 7 7 7 7 7 8 8 8 7 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 7 8 9 11 12 13 13 12 11 10 9 10 10 10 10 8 7 6 6 7 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 9 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 12 12 12 13 12 12 12 12 12 11 10 10 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 7 7 7 8 8 8 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 nan
nan 10 10 10 9 8 7 7 7 6 6 7 7 7 8 8 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 8 7 8 9 9 10 11 12 13 13 12 11 9 9 9 9 10 10 9 8 7 6 7 7 8 7 7 7 7 7 8 8 7 7 7 7 8 8 7 7 7 8 10 11 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 14 14 14 14 14 13 13 14 13 13 12 11 10 9 8 8 8 8 8 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 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 nan
nan 9 10 10 10 9 8 8 7 7 7 7 7 7 8 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 11 12 11 10 9 9 9 8 8 9 10 11 12 13 13 13 12 11 9 8 8 8 9 9 9 8 8 7 7 7 8 8 7 7 7 7 8 8 9 9 8 8 8 8 7 7 7 7 8 10 10 9 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 11 11 11 12 12 12 13 13 14 14 14 15 15 15 15 14 13 12 11 10 10 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 nan
nan 9 9 9 10 9 8 8 7 7 7 7 7 8 9 10 11 11 12 12 11 11 10 9 9 10 10 10 11 11 11 11 12 13 13 13 12 11 10 9 8 8 9 10 11 12 13 13 13 12 10 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 8 9 8 7 5 6 6 7 8 9 9 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 14 14 14 13 12 12 11 11 11 10 11 11 12 12 12 12 11 10 10 9 9 8 8 8 8 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 nan
nan 9 8 8 9 9 8 8 8 7 7 7 7 8 9 10 10 11 12 13 13 13 13 12 12 12 12 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 10 10 11 12 13 14 13 12 10 8 7 7 7 6 6 7 7 8 8 8 8 9 9 8 8 8 8 8 9 9 8 8 8 8 8 7 7 6 7 8 8 7 5 4 4 5 6 7 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 9 9 10 10 10 11 12 12 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 9 8 8 8 8 8 9 9 8 8 8 8 7 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 8 9 8 8 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 13 13 14 15 15 14 12 11 10 10 10 10 10 11 11 11 10 9 9 9 10 11 11 10 11 12 13 13 11 9 7 7 7 6 6 6 6 7 7 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 5 4 4 5 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 9 9 9 9 9 10 9 9 9 nan
nan 9 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 12 13 14 14 14 12 10 8 7 7 7 8 9 10 10 9 9 8 9 10 10 10 10 9 11 12 12 10 8 7 7 6 5 6 6 6 7 8 7 7 7 7 8 9 9 9 8 7 7 7 8 8 8 8 8 8 7 7 7 7 8 7 7 6 5 5 5 4 4 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 12 12 12 12 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 12 13 13 12 12 12 12 12 11 11 11 10 10 11 11 11 10 10 9 8 7 7 7 8 9 10 9 8 8 7 8 10 10 10 10 9 10 10 nan
nan 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 12 12 10 7 5 5 6 7 8 9 9 9 8 8 8 8 9 9 9 9 9 10 9 8 7 7 6 6 5 5 6 6 7 8 8 7 6 7 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 7 6 5 4 3 4 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 11 12 12 13 13 13 12 12 11 11 12 12 12 12 12 13 13 13 12 11 10 9 9 9 10 11 10 9 7 6 6 8 10 11 11 10 9 9 10 11 nan
nan 9 8 8 7 8 9 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 10 8 6 5 5 6 7 8 8 8 8 8 7 6 7 8 9 9 9 9 8 7 6 6 6 6 6 5 5 5 6 7 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 8 7 7 6 5 5 4 5 6 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 14 14 14 14 15 15 14 13 12 12 12 13 13 13 13 13 12 12 11 10 10 10 10 11 11 11 11 11 12 11 10 10 10 11 12 13 12 10 8 7 8 10 12 12 11 10 8 8 9 10 11 nan
nan 9 9 8 7 8 9 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 9 8 6 6 6 7 7 7 6 7 7 7 6 6 7 8 9 10 10 9 8 8 7 7 5 5 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 8 9 9 8 8 8 8 9 9 9 9 8 9 10 10 10 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 11 12 13 14 15 16 16 17 17 17 18 18 17 16 15 15 16 17 17 16 15 14 14 13 12 12 11 11 11 11 10 9 8 8 8 8 9 9 10 11 12 12 11 10 10 12 14 16 15 13 10 7 6 6 7 8 8 nan
nan 10 10 9 8 9 10 10 10 10 10 9 8 8 8 8 8 8 9 10 11 11 11 10 10 10 9 9 9 8 7 7 7 6 6 6 6 6 6 6 7 8 10 11 11 10 9 9 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 9 10 9 9 9 8 8 9 9 9 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 10 12 14 15 17 18 19 19 19 19 19 19 19 18 17 17 19 19 19 19 18 18 17 16 16 16 16 16 15 14 13 11 10 9 9 9 9 10 11 11 11 12 12 12 13 15 17 17 14 11 8 7 6 6 6 6 6 nan
nan 11 11 9 8 8 9 9 9 8 8 7 7 7 7 8 9 9 11 12 12 11 10 9 9 9 9 9 9 9 8 7 6 5 5 6 6 6 6 7 8 10 11 11 11 10 9 9 8 7 6 6 7 8 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 9 9 10 10 9 7 7 7 7 8 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 7 8 9 10 12 13 15 16 17 17 17 17 17 18 18 19 18 17 16 17 17 17 17 17 18 17 18 18 19 19 20 19 18 17 16 15 15 15 15 14 14 14 15 15 15 16 16 16 16 16 14 13 11 9 8 8 8 7 6 6 nan
nan 10 10 9 8 8 8 8 8 7 7 7 6 6 7 8 9 10 12 12 11 9 8 8 8 8 8 9 9 9 8 7 6 5 5 6 6 6 6 7 8 9 10 10 10 9 8 8 7 7 6 6 7 7 7 7 7 8 7 7 6 6 6 7 8 7 7 6 6 7 7 7 7 7 7 7 7 7 6 6 7 8 8 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 7 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 9 9 10 11 11 12 12 12 12 12 12 12 13 15 16 15 14 13 12 12 12 12 13 13 14 15 16 17 18 19 19 20 19 19 19 20 20 20 20 19 19 19 19 20 20 19 19 18 17 15 14 13 12 11 11 10 9 9 8 nan
nan 10 10 9 8 8 8 8 8 8 8 7 7 7 7 8 9 10 11 10 9 8 7 7 7 7 9 10 10 9 7 6 6 6 6 6 6 6 6 7 8 8 8 8 9 8 8 8 7 7 7 7 7 7 6 7 7 8 8 7 7 7 7 7 8 7 6 6 6 7 7 7 7 7 7 8 8 7 7 6 7 8 8 8 8 9 9 10 10 10 9 8 8 9 9 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 6 6 7 8 9 9 9 10 9 9 8 8 7 7 7 7 7 8 9 10 10 9 9 8 8 8 8 8 9 10 11 11 12 14 15 16 17 17 17 18 19 20 20 20 19 19 18 19 20 21 21 20 20 19 19 17 16 15 15 14 13 13 12 11 nan
nan 10 11 11 10 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 8 7 7 7 6 7 9 10 10 9 8 6 6 6 6 6 6 7 7 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 8 7 7 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 7 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 7 8 8 9 9 9 9 8 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 9 9 10 11 12 12 12 13 14 14 13 13 13 12 13 15 16 16 17 18 18 18 18 17 17 17 18 18 17 16 15 nan
nan 11 12 12 10 9 9 9 9 8 8 8 8 9 9 9 10 10 9 9 8 7 7 7 6 8 9 10 10 9 8 7 5 5 6 6 6 7 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 9 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 10 10 9 9 9 10 10 10 8 6 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 5 5 6 7 8 8 8 9 9 9 8 7 5 4 3 2 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 5 6 6 6 5 5 4 5 6 7 9 9 10 11 12 13 14 14 16 17 19 19 19 19 nan
nan 10 11 11 10 9 9 9 9 9 8 8 9 9 9 9 10 10 9 8 8 7 7 6 6 7 8 9 9 9 9 7 5 4 5 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 8 8 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 10 10 10 9 9 10 10 11 10 7 6 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 5 6 6 7 7 8 8 8 8 8 7 6 5 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 3 3 2 2 2 2 2 2 3 3 3 2 2 1 1 1 1 0 0 0 0 1 2 3 3 3 3 5 6 8 9 11 15 17 19 20 nan
nan 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 8 7 7 6 7 8 9 9 9 9 10 9 6 5 5 6 6 6 6 7 9 9 8 8 8 8 8 7 7 7 7 8 8 8 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 9 9 10 10 10 10 10 11 10 9 7 6 5 4 4 4 4 3 3 3 2 2 3 3 4 5 5 6 6 6 7 7 7 7 7 7 7 6 5 4 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 3 3 2 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 1 0 0 0 1 2 3 4 5 7 11 13 16 nan
nan 10 11 11 11 10 9 8 7 7 7 8 8 8 8 9 10 10 9 9 8 7 7 7 8 9 10 10 10 10 11 10 8 7 6 6 6 5 6 8 9 9 8 8 8 8 8 7 7 7 8 8 9 7 5 5 6 7 8 8 8 8 8 8 8 7 7 7 8 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 7 7 7 8 9 10 10 10 10 10 10 9 9 8 6 5 5 5 5 4 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 2 2 2 3 4 6 9 nan
nan 10 11 11 10 9 8 7 6 6 7 8 8 8 8 9 10 10 10 9 8 7 7 8 9 11 11 11 10 10 10 10 10 9 8 7 6 5 6 8 9 9 9 9 9 9 8 8 7 7 8 9 9 7 5 5 6 7 7 8 9 9 9 8 8 8 7 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 8 9 10 9 8 8 9 10 10 9 9 8 8 7 6 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 5 5 5 5 4 4 3 2 1 2 3 nan
nan 10 11 10 9 7 7 6 6 6 7 8 8 8 8 9 11 11 10 9 8 7 8 9 10 11 11 10 10 9 10 11 12 12 11 9 7 7 7 8 9 10 11 11 10 9 9 8 8 8 9 9 8 7 6 6 6 6 7 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 6 6 7 7 8 8 9 8 7 6 6 6 6 6 6 6 7 8 9 9 8 8 7 8 9 10 10 10 10 10 10 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 2 2 2 nan
nan 9 9 9 8 8 7 6 6 6 6 7 7 8 8 10 11 11 10 9 8 8 8 10 10 10 10 10 9 10 11 13 14 14 12 11 9 8 8 8 9 10 11 11 11 10 9 9 9 9 9 9 8 7 7 7 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 9 8 7 7 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 nan
nan 8 8 8 8 8 8 7 7 7 6 6 7 8 9 10 11 11 10 9 9 9 10 10 10 10 9 9 9 10 11 12 12 12 11 10 8 8 8 7 7 8 9 9 10 9 9 9 9 9 9 9 8 8 7 7 6 6 7 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 7 7 6 6 6 6 7 7 7 8 8 9 8 8 7 7 7 7 6 6 7 7 7 7 8 10 11 12 11 9 8 7 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 nan
nan 8 8 8 9 8 8 8 8 7 7 7 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 10 9 8 8 7 6 6 6 6 6 6 7 8 8 8 8 9 9 9 9 8 7 7 7 6 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 6 7 7 8 8 8 8 9 9 9 8 7 7 7 7 6 6 6 7 7 7 8 10 12 14 14 13 11 9 8 7 7 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 7 7 7 8 8 8 7 7 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 9 9 9 9 10 11 11 11 10 9 8 7 7 7 6 5 5 6 6 6 6 6 7 8 8 8 9 9 10 10 8 8 7 7 7 7 8 7 7 7 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 8 9 9 10 9 9 9 9 9 8 8 8 7 7 6 6 6 7 7 7 8 9 10 12 15 16 16 14 12 10 9 7 7 6 6 6 5 5 5 4 4 4 4 3 4 4 4 5 6 6 7 7 8 8 8 7 7 6 6 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 nan
nan 8 8 8 9 9 10 9 9 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 11 11 12 12 11 10 9 8 8 8 8 7 6 5 6 6 6 7 7 8 8 9 9 9 9 10 10 9 9 8 8 8 8 8 7 7 7 8 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 9 9 9 9 8 8 8 8 8 7 7 6 7 7 7 8 8 8 10 12 15 18 18 17 14 12 11 10 9 8 7 6 5 5 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 6 6 5 5 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 nan
nan 8 8 8 8 9 10 10 9 8 8 8 8 7 7 7 9 10 10 10 9 9 9 10 11 12 12 12 11 11 10 9 9 9 9 9 8 7 6 6 6 7 7 7 8 9 9 9 9 10 11 11 10 10 9 9 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 8 9 8 8 8 7 7 7 8 8 8 8 8 8 9 11 15 17 18 18 17 16 16 15 14 12 9 7 6 5 5 4 4 4 4 4 5 5 5 6 6 6 6 7 6 6 6 5 5 4 4 4 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 nan
nan 9 9 8 9 10 10 10 9 9 8 8 7 7 7 8 9 10 10 9 9 9 10 10 11 11 11 11 11 10 10 9 10 10 9 9 9 7 6 6 6 7 7 7 8 8 9 10 10 11 12 11 11 10 10 9 9 9 9 9 9 9 7 6 6 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 8 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 10 13 15 18 19 19 19 19 19 16 12 9 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 nan
nan 10 10 9 9 10 10 10 10 10 9 9 8 7 7 8 9 10 10 10 9 8 9 9 10 10 10 10 10 9 9 9 9 9 10 10 9 7 6 6 7 8 8 8 8 8 9 10 10 11 12 11 11 10 9 8 8 8 8 9 10 11 9 7 7 7 7 7 7 6 5 6 8 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 7 7 8 9 8 8 8 7 7 7 7 7 8 9 10 12 14 15 16 15 15 15 14 12 10 8 7 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 8 8 9 nan
nan 11 10 10 10 10 10 10 11 11 10 10 9 8 8 8 9 10 11 10 9 8 7 7 8 8 8 8 8 9 9 9 9 10 11 11 10 8 7 8 8 8 8 8 8 9 9 9 10 11 11 11 10 9 8 7 7 7 7 8 9 11 11 9 8 7 6 6 6 6 6 7 8 9 10 9 9 8 8 8 7 7 8 8 7 8 8 9 9 8 7 8 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 8 8 7 8 8 9 9 10 11 11 11 9 8 8 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 5 5 6 6 7 7 8 7 7 6 6 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 6 6 7 8 8 9 nan
nan 11 11 10 10 9 10 10 11 11 11 10 10 9 9 9 9 9 10 11 10 8 7 7 6 7 7 8 9 9 9 10 10 11 11 12 11 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 7 7 7 7 7 8 9 10 9 8 7 6 5 4 4 5 6 8 9 9 9 9 9 8 8 8 8 8 7 7 8 9 10 10 8 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 8 9 9 9 9 8 7 7 8 8 8 8 7 7 8 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 7 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 7 8 9 9 nan
nan 11 11 10 10 9 10 10 11 11 11 11 10 10 10 9 9 9 10 11 10 9 8 7 6 6 7 8 8 9 9 10 10 10 11 11 11 11 10 10 9 8 7 7 7 7 8 9 10 10 10 10 10 9 8 8 8 9 8 8 8 8 9 8 8 7 6 5 3 3 4 6 8 9 8 8 9 9 8 8 8 8 9 8 8 9 10 10 10 8 8 9 9 10 10 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 10 11 11 10 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 7 7 8 9 9 nan
nan 12 12 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 9 8 7 7 7 7 7 8 8 8 8 8 9 10 11 11 12 11 10 9 8 7 7 7 8 9 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 7 8 8 8 6 5 4 6 7 9 8 8 8 8 8 8 8 9 9 9 9 10 9 9 9 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 11 13 15 17 17 14 11 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 5 6 6 6 6 7 8 8 8 8 9 8 8 7 5 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 5 5 6 7 8 9 9 10 nan
nan 11 12 12 11 11 11 11 11 12 12 12 12 11 11 10 10 10 11 11 12 11 10 9 8 7 6 6 7 7 8 7 7 7 7 9 10 12 12 12 11 10 8 8 7 6 7 9 9 10 10 10 10 10 9 8 8 7 7 7 8 8 7 7 8 9 8 7 6 7 8 9 9 8 8 7 7 7 7 8 10 11 11 10 9 9 8 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 9 10 12 14 16 18 20 21 20 16 12 9 7 7 8 9 9 9 9 8 7 7 6 6 6 5 5 6 6 6 7 7 8 9 9 9 9 8 7 6 5 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 5 5 6 7 8 9 9 10 nan
nan 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 10 10 11 12 12 11 10 9 8 7 6 7 8 9 8 7 7 8 9 10 11 11 11 11 10 10 8 7 7 7 8 8 8 9 9 10 11 10 10 9 8 7 8 10 10 9 9 9 9 9 8 8 8 9 10 9 7 6 6 7 6 6 8 10 11 11 10 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 11 13 14 14 15 16 19 21 19 15 11 9 9 10 11 11 11 10 9 8 7 7 6 6 6 6 6 6 6 7 7 8 9 9 10 9 8 7 6 5 4 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 6 7 8 8 9 9 9 nan
nan 10 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 12 11 11 11 11 11 10 9 8 7 7 8 9 10 10 10 10 10 11 12 11 10 10 11 11 9 8 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 11 12 12 11 11 11 11 10 9 9 9 9 9 8 7 6 6 6 6 6 7 9 10 10 9 8 9 10 10 10 10 10 10 9 9 9 9 9 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 11 14 17 18 17 13 11 11 12 13 13 13 12 10 9 8 7 7 6 6 6 6 6 6 7 7 8 9 9 10 10 9 7 6 5 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 6 7 8 8 9 9 9 nan
nan 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 11 11 11 10 10 8 7 7 7 9 10 11 11 12 13 13 13 11 10 9 9 9 9 8 8 8 8 7 6 6 7 8 9 9 9 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 9 8 8 9 10 10 11 11 11 10 9 9 9 9 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 8 7 7 10 13 14 14 12 13 14 15 15 15 14 12 11 9 8 7 7 6 6 6 6 6 7 7 7 8 9 10 10 9 8 6 5 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 6 7 7 8 8 8 9 nan
nan 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 11 10 10 10 10 9 8 8 7 8 8 10 11 12 13 13 13 12 10 9 9 9 9 10 9 9 8 6 6 6 6 6 7 7 8 8 9 10 10 10 10 11 11 11 11 10 9 8 8 8 9 9 9 8 8 7 8 9 8 8 8 8 8 8 8 9 10 11 12 12 13 12 10 10 10 9 9 9 9 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 7 5 2 0 1 4 7 10 12 13 15 16 16 16 16 14 13 11 10 9 8 7 6 6 7 7 7 7 7 8 9 10 10 9 8 6 5 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 5 5 6 7 7 8 8 8 8 nan
nan 10 11 10 10 10 11 10 10 10 11 11 11 11 11 11 11 12 13 13 12 11 10 9 9 9 9 9 8 7 7 8 10 11 12 12 12 12 12 11 11 11 11 12 11 10 8 6 5 5 5 6 6 6 6 7 7 8 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 7 8 9 9 9 9 8 8 8 8 8 9 10 11 13 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 8 7 5 2 -0 -1 0 3 7 10 13 14 15 16 17 17 17 15 14 13 12 10 9 9 8 8 8 8 8 8 9 10 10 10 9 7 6 5 5 4 3 3 2 2 2 2 2 2 2 2 3 3 3 4 5 5 6 7 7 7 8 8 8 nan
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nan 12 12 11 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 9 8 9 9 10 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 7 6 5 6 7 10 11 11 10 9 9 9 9 9 9 9 9 9 9 10 12 13 11 10 9 9 9 8 8 9 10 12 13 14 14 13 12 12 12 11 11 11 10 9 8 9 10 11 12 13 12 11 9 8 9 12 15 17 17 16 11 7 5 7 9 9 9 8 8 9 10 12 14 17 19 22 24 25 23 20 17 14 11 10 9 9 10 11 11 nan
nan 12 12 11 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 9 9 9 10 11 12 13 13 12 11 10 9 9 9 9 9 8 8 9 9 8 7 6 5 5 5 6 7 6 5 5 6 8 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 11 12 11 11 11 10 9 9 9 10 10 12 13 13 13 13 13 13 12 12 11 9 8 7 6 7 8 9 9 8 7 6 4 3 3 4 6 8 8 7 3 2 5 10 12 10 8 7 7 8 9 10 12 15 18 22 25 26 24 21 17 13 10 9 8 8 9 11 12 nan
nan 13 12 11 11 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 10 10 9 9 9 10 10 10 9 9 10 10 10 10 9 10 11 12 13 13 13 11 10 9 9 9 10 10 9 9 10 10 9 7 5 4 3 4 6 7 7 7 7 8 9 9 10 9 9 9 9 9 8 9 9 10 10 9 9 9 9 11 12 13 13 13 12 11 11 11 11 11 12 12 12 11 11 11 11 12 11 10 7 5 4 5 7 9 9 10 9 9 8 9 8 7 4 3 2 1 -2 -2 2 7 11 9 6 6 7 8 8 8 9 10 11 14 18 21 23 22 21 17 13 11 9 9 9 10 12 13 nan
nan 12 12 12 11 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 10 10 11 11 11 10 10 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 13 13 12 12 11 9 9 10 10 10 10 9 10 10 8 5 3 3 4 5 7 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 10 11 13 14 15 13 12 12 11 11 12 12 12 11 10 9 9 9 9 9 9 6 4 2 3 5 8 10 11 11 11 12 13 15 16 16 13 11 8 6 4 5 9 11 11 8 7 9 11 11 11 10 9 8 9 11 14 16 19 21 20 17 15 13 12 11 11 12 13 14 nan
nan 12 12 12 12 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 9 9 9 9 9 8 8 8 9 10 12 14 15 14 13 11 10 10 10 11 11 10 9 8 7 6 4 4 5 6 7 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 12 13 14 13 12 11 10 10 10 11 11 12 11 10 9 8 8 8 8 7 4 2 2 4 8 11 12 13 12 12 12 13 15 17 18 19 19 18 16 16 18 19 19 16 14 15 16 17 17 16 14 12 11 10 11 13 16 20 21 19 17 15 14 14 13 13 14 14 15 nan
nan 12 13 13 12 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 8 8 7 6 5 5 4 4 6 8 11 14 16 17 15 13 11 10 10 10 11 11 11 9 7 6 5 6 7 7 8 8 8 8 9 9 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 13 12 11 9 8 7 8 10 11 12 12 10 9 8 7 7 7 6 5 4 6 9 13 14 14 13 13 12 12 12 12 13 14 16 18 18 18 19 20 21 20 18 19 20 20 21 21 21 19 17 15 15 15 16 19 20 18 15 14 14 14 15 15 15 16 17 17 nan
nan 13 12 12 11 9 8 6 6 5 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 10 10 10 8 5 3 1 0 1 1 4 8 12 15 17 17 15 12 9 9 8 9 9 10 11 10 8 6 6 7 9 9 9 8 7 7 7 7 8 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 11 12 11 10 8 6 6 8 11 13 14 12 10 9 8 7 7 7 7 6 7 10 14 16 17 15 14 13 12 12 11 11 11 11 11 12 13 14 14 14 14 14 14 15 17 18 19 20 20 19 19 19 20 19 18 17 16 13 11 12 15 16 17 17 17 17 18 18 nan
nan 12 11 10 9 8 8 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 10 11 12 12 13 13 12 12 11 10 10 10 10 9 9 9 10 10 10 11 11 11 12 12 12 11 11 11 10 6 -0 -4 -5 -2 2 6 10 14 18 19 18 15 11 7 6 5 5 5 6 8 9 8 7 7 7 8 10 10 8 7 6 6 6 7 9 10 11 11 10 9 9 10 10 10 9 9 9 9 10 10 9 8 7 7 8 10 11 11 10 8 7 8 10 12 14 14 12 10 8 7 7 7 7 7 8 9 12 15 17 17 15 14 13 12 12 11 11 10 9 9 9 10 10 10 10 9 10 10 11 12 13 14 14 14 15 17 19 20 18 17 15 14 13 13 15 18 19 19 19 17 16 16 15 nan
nan 10 10 9 9 9 9 9 8 8 7 7 7 6 6 7 7 8 8 9 9 8 8 7 7 8 8 7 6 4 4 7 9 11 12 12 12 12 13 13 12 12 11 11 10 9 9 9 9 10 10 10 11 12 12 12 12 12 11 11 11 9 2 -3 -6 -4 3 9 13 16 18 18 17 15 13 9 5 3 2 1 2 4 6 6 6 7 8 8 9 8 8 6 5 6 6 7 8 10 11 11 10 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 6 8 10 10 10 10 9 9 10 12 14 14 13 11 9 7 7 7 7 7 8 9 11 12 14 16 16 16 15 14 13 11 11 10 9 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 14 15 15 15 15 16 16 16 15 15 14 15 15 14 13 12 12 12 nan
nan 8 9 9 10 11 11 11 11 10 9 8 6 6 6 7 7 8 8 9 9 8 7 7 6 6 6 6 4 1 1 4 8 12 13 13 12 12 12 12 13 13 12 11 10 9 9 9 10 10 10 11 11 12 13 12 12 11 10 9 10 8 3 -0 -1 3 9 13 16 17 16 14 14 13 12 9 6 2 0 0 2 4 5 5 6 7 7 7 7 6 5 4 5 6 6 7 8 10 10 10 9 9 8 8 9 9 9 9 10 10 9 8 7 6 6 6 7 9 10 10 11 10 10 10 11 13 14 13 11 9 7 7 7 7 7 8 9 10 11 12 13 15 16 15 15 14 12 10 9 8 6 6 8 9 10 11 12 11 10 10 9 9 10 10 10 10 10 11 11 11 11 12 13 14 14 12 8 6 5 6 7 8 8 9 9 10 nan
nan 8 9 10 11 12 12 12 12 11 11 9 7 6 6 7 7 8 9 9 8 8 7 6 6 5 5 5 4 1 1 3 7 12 15 14 13 12 11 11 12 12 12 10 10 10 10 10 10 10 10 11 12 13 14 13 12 11 9 9 10 9 7 6 7 10 13 15 15 15 13 11 11 11 11 9 5 2 1 1 4 6 7 8 7 6 5 5 5 5 5 5 6 6 6 7 8 9 9 9 9 8 8 8 9 9 9 10 10 9 8 6 5 4 5 6 8 10 12 13 13 12 11 11 11 12 13 11 10 8 7 7 7 8 9 9 9 10 10 10 12 13 14 14 15 13 11 9 8 6 5 6 8 10 11 13 13 12 11 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 8 4 1 0 2 5 8 8 9 10 10 10 nan
nan 8 9 10 11 12 12 12 12 12 12 11 9 8 7 7 8 8 9 9 8 7 6 6 5 5 5 5 5 2 1 2 6 11 15 16 15 13 11 11 12 12 11 10 10 10 11 11 11 11 10 11 12 13 14 13 12 11 10 10 11 11 11 11 12 13 14 14 13 12 10 9 10 10 9 8 5 3 2 3 6 8 9 9 8 6 5 5 6 6 6 6 6 6 6 7 8 9 9 8 8 8 9 9 9 9 9 9 9 8 6 6 6 6 6 7 9 12 14 16 15 14 13 12 13 13 11 10 8 7 7 7 8 9 10 10 9 9 9 9 10 11 12 13 14 12 11 9 7 5 5 7 9 10 12 13 13 12 11 9 8 9 9 9 10 10 10 11 11 10 10 10 9 7 3 -1 -1 2 7 11 12 12 12 12 12 12 nan
nan 9 10 10 11 11 12 12 12 11 11 11 10 9 8 8 8 9 9 8 7 6 6 5 4 4 5 6 5 3 1 1 4 9 14 17 17 15 12 11 11 11 11 10 10 11 11 12 12 11 10 9 9 11 12 12 12 12 12 13 12 12 12 12 12 12 12 12 11 10 9 9 9 10 9 7 5 4 4 6 9 10 10 9 8 8 8 9 10 8 6 4 3 4 6 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 9 10 9 9 11 13 15 16 14 13 14 15 15 13 10 8 6 6 7 8 8 9 10 9 9 8 8 9 9 10 11 12 12 12 11 9 6 5 6 8 9 11 13 13 13 12 10 9 9 9 9 9 9 10 10 11 10 10 9 8 6 2 -1 -2 1 6 12 14 14 13 13 13 14 16 nan
nan 9 11 11 11 12 12 12 12 11 10 10 9 8 8 8 8 8 7 6 6 6 6 5 4 4 5 6 6 4 2 2 4 7 11 16 18 16 13 11 11 11 11 11 11 11 11 11 12 11 9 8 7 9 10 11 12 13 14 13 13 13 12 11 11 11 11 10 9 8 8 9 11 11 9 8 8 8 9 11 12 11 10 10 10 10 11 12 11 8 5 3 2 3 5 7 7 7 7 8 8 9 8 8 7 7 7 7 8 8 10 11 11 10 9 9 11 12 13 13 12 13 14 16 15 12 8 6 5 6 7 7 8 9 9 8 8 8 7 8 9 10 10 11 11 11 10 9 5 5 7 8 10 12 12 12 12 12 10 9 9 9 8 8 9 10 11 11 10 9 8 5 2 -1 -1 1 6 10 13 14 13 12 13 15 18 22 nan
nan 10 11 11 12 12 12 12 11 10 10 9 8 8 7 7 7 6 6 6 6 6 6 4 4 4 6 7 7 6 5 4 4 4 8 14 17 17 15 13 11 11 11 11 11 11 10 10 10 10 8 7 7 8 10 11 12 13 14 14 14 13 12 11 11 10 9 8 8 9 10 11 12 11 10 10 11 12 13 14 13 12 11 11 11 11 11 10 9 8 7 7 7 7 6 5 4 4 5 7 8 9 8 6 5 5 6 7 8 8 9 9 8 6 6 7 9 10 11 11 12 13 14 14 12 9 6 5 6 7 7 8 8 9 9 9 9 9 9 9 9 10 11 10 10 10 10 7 6 6 8 9 10 11 11 12 13 12 11 10 9 7 6 7 9 11 11 11 10 9 7 4 2 3 5 8 11 12 12 11 10 10 12 16 20 25 nan
nan 10 10 11 12 12 12 11 11 10 9 9 8 7 6 6 6 6 6 6 6 7 6 5 5 6 7 8 8 7 6 5 4 4 7 12 16 18 17 14 11 10 11 12 12 11 8 8 8 8 7 7 7 8 9 10 11 13 13 13 13 13 13 12 12 10 9 8 9 11 13 13 13 11 11 12 12 13 14 14 13 12 12 11 11 11 11 11 12 12 12 11 11 10 9 6 4 2 3 5 7 8 7 5 5 5 5 5 6 6 6 6 5 5 6 8 9 11 12 13 14 14 14 11 8 5 5 6 8 9 10 10 9 10 11 11 11 11 10 10 10 10 10 9 9 9 9 8 7 7 8 9 10 10 11 12 13 12 11 9 7 5 6 7 10 12 12 11 10 9 8 6 7 9 11 12 12 11 10 9 8 9 12 15 19 23 nan
nan 10 10 10 11 12 12 12 11 11 10 9 8 7 6 5 5 5 6 6 7 7 7 7 7 7 8 9 9 8 7 4 2 3 7 11 15 18 17 14 11 10 11 12 12 10 7 6 7 7 7 8 8 8 8 9 10 12 13 12 12 12 12 13 13 11 10 10 12 14 15 14 12 11 11 12 12 12 12 12 12 12 13 12 12 12 13 15 17 16 15 13 12 12 11 9 7 6 5 4 4 5 5 6 6 6 6 6 6 6 6 7 7 8 10 11 11 13 14 15 16 16 13 9 6 5 6 9 10 11 11 10 9 10 11 11 11 10 10 9 9 9 9 9 9 10 9 9 8 8 8 9 9 10 11 13 14 12 10 8 6 6 6 8 11 12 12 11 10 9 9 9 11 13 12 11 9 9 9 9 10 10 12 15 18 20 nan
nan 10 10 10 10 11 12 12 12 12 11 10 9 8 7 6 5 5 6 6 6 6 7 7 7 6 7 8 10 9 7 3 1 3 7 11 15 18 17 13 11 11 12 12 11 9 7 6 7 7 8 8 8 8 8 8 9 10 10 10 10 10 11 12 13 12 11 11 12 13 13 13 12 12 12 12 11 10 10 10 10 11 12 12 12 13 15 16 16 16 15 14 15 15 15 15 14 13 11 8 6 5 6 7 8 8 8 8 8 8 9 9 10 11 11 11 12 13 15 17 17 14 11 8 6 7 9 11 11 10 8 7 8 9 10 11 10 9 8 7 7 8 9 10 11 11 10 10 9 9 9 9 9 10 12 14 13 11 9 6 6 6 7 8 11 12 11 10 10 9 10 11 12 11 8 8 8 10 12 12 13 14 15 16 17 17 nan
nan 9 9 9 9 10 11 12 12 12 12 11 10 9 8 7 6 5 5 5 6 7 8 7 6 6 6 7 9 9 6 3 1 4 7 12 16 19 17 15 13 11 12 12 10 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 9 10 11 11 12 12 11 11 11 11 11 12 12 12 11 10 10 9 8 8 8 9 9 10 11 12 12 12 12 14 16 18 19 20 20 21 20 19 18 15 13 11 10 10 10 9 9 9 9 10 10 10 9 8 9 10 13 15 16 15 11 9 7 8 10 11 11 9 7 6 7 9 11 12 11 10 8 7 7 8 10 11 13 13 12 12 12 11 11 10 10 10 11 12 12 11 9 7 6 6 6 7 9 10 11 11 11 10 10 11 11 10 8 7 8 10 14 16 16 16 17 18 19 18 16 nan
nan 9 8 8 8 9 11 12 12 12 12 11 10 9 9 7 6 6 5 6 7 9 9 9 8 6 6 7 7 7 5 2 1 4 8 13 18 20 19 16 13 10 10 11 10 10 9 8 9 9 8 8 8 8 8 8 8 7 6 6 7 8 8 9 10 12 13 13 12 11 11 12 13 13 12 11 10 9 8 8 7 7 7 8 8 8 8 8 8 10 12 14 16 18 19 20 21 23 23 24 23 20 17 14 12 11 10 9 9 10 10 9 8 8 7 9 11 13 15 14 12 9 8 8 10 11 11 10 8 7 7 9 11 13 13 12 10 9 9 10 12 14 16 16 14 14 14 14 13 12 11 10 10 10 10 9 8 7 7 6 6 6 8 10 11 12 12 11 11 11 11 11 10 9 9 11 14 16 17 17 17 18 18 18 17 15 nan
nan 9 8 8 9 9 10 11 12 12 12 11 10 10 9 8 7 6 6 7 8 10 10 9 7 6 5 6 6 6 4 1 1 4 9 15 20 21 20 16 11 8 9 10 11 10 10 10 10 10 9 9 9 8 8 8 8 7 6 6 7 7 7 8 10 12 13 13 12 12 13 14 14 13 12 10 9 8 7 7 7 7 7 8 8 7 7 7 8 9 11 11 13 14 15 16 16 18 19 20 19 17 16 14 12 11 10 10 10 11 10 9 9 9 9 10 12 13 13 12 10 9 9 10 12 12 12 11 9 9 10 11 13 14 14 13 12 11 12 14 16 18 17 16 14 14 14 15 14 13 11 10 10 9 8 6 7 7 8 7 7 7 9 10 11 12 13 12 11 10 10 10 11 11 12 13 14 15 16 16 17 17 16 15 14 13 nan
nan 10 9 9 9 9 10 11 12 12 12 11 10 9 9 8 8 7 6 6 7 7 5 4 3 3 4 5 6 5 3 1 1 5 11 17 21 21 19 15 11 10 10 10 10 9 9 9 10 10 10 9 10 9 9 9 9 8 7 7 8 7 7 7 8 11 12 12 13 13 14 15 14 13 11 9 8 7 6 6 6 6 7 8 7 7 7 8 9 10 10 11 12 13 13 12 12 12 12 11 11 11 11 12 11 11 10 11 12 11 9 8 7 8 9 10 11 12 11 10 10 10 11 12 13 14 13 12 12 12 13 14 15 15 15 14 13 13 13 15 15 15 15 14 13 13 14 14 14 13 11 10 9 8 7 6 7 8 9 9 8 9 9 10 11 13 13 12 11 10 10 11 11 12 12 11 11 12 13 14 15 15 14 13 12 11 nan
nan 10 10 10 9 10 11 12 12 13 12 10 10 9 9 8 8 7 6 5 4 4 2 1 2 3 4 5 6 5 3 1 2 7 13 19 21 20 17 14 12 12 12 11 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 7 6 6 8 10 11 12 13 14 15 15 14 12 10 8 7 6 6 5 5 6 7 7 7 7 8 9 10 11 11 12 12 12 12 12 11 10 8 6 6 7 8 9 9 10 11 11 11 9 6 5 4 5 7 8 9 10 10 9 10 10 11 13 14 14 13 12 12 13 14 16 16 15 14 13 12 12 12 12 12 11 11 12 13 14 14 14 13 12 10 9 8 7 7 7 7 9 11 11 10 9 9 9 11 12 12 11 11 10 11 11 11 11 10 9 8 9 10 12 13 13 13 12 11 10 nan
nan 10 10 10 10 11 12 13 13 13 12 10 9 9 8 8 7 7 6 5 4 4 4 3 4 5 5 5 6 6 3 2 4 9 16 20 20 16 13 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 7 6 5 5 8 9 11 12 14 15 16 15 13 10 8 6 6 6 6 5 6 6 6 6 7 7 8 9 10 11 11 12 12 12 13 13 13 13 11 8 8 7 7 7 7 7 8 8 5 3 2 2 3 4 6 7 8 8 8 7 7 8 9 11 12 12 11 10 11 12 14 15 14 13 11 10 10 10 11 10 10 10 10 11 12 14 15 14 14 12 10 9 8 7 7 7 9 10 12 12 11 9 8 9 10 11 12 11 11 11 11 11 11 11 9 7 5 5 8 10 12 13 13 12 11 10 nan
nan 9 10 10 10 11 13 14 14 14 12 10 9 9 8 7 7 7 7 6 6 6 6 6 6 6 6 6 5 6 4 3 5 10 17 20 17 13 11 11 11 11 11 12 11 10 10 10 10 11 11 11 11 11 11 10 10 10 9 8 6 5 4 6 8 10 11 13 14 15 15 14 12 9 7 6 6 6 6 6 7 7 7 7 8 8 9 9 10 11 11 12 12 13 14 16 17 18 17 15 13 11 9 8 8 7 6 4 2 1 1 2 4 7 9 10 10 8 7 7 7 8 8 9 9 8 9 9 9 10 11 11 11 10 9 9 10 10 10 10 10 9 9 11 13 14 15 14 14 12 11 9 8 8 8 8 10 11 12 12 11 9 8 9 10 11 12 12 12 11 11 11 11 10 9 6 4 3 5 8 12 15 16 15 13 11 nan
nan 8 8 9 10 11 13 14 15 14 12 10 9 9 8 7 7 7 7 8 8 8 7 7 7 7 6 6 5 6 5 4 6 10 15 17 14 11 11 11 10 10 10 11 11 11 11 12 12 11 11 10 10 11 11 10 10 8 6 5 4 3 5 7 10 11 12 12 13 14 14 14 11 9 8 7 6 6 7 8 8 8 7 7 8 8 9 10 10 11 12 12 13 14 15 16 17 18 19 18 17 15 14 13 12 11 9 7 6 6 6 8 9 11 12 12 11 10 10 11 12 12 11 10 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 12 14 14 14 14 13 11 9 8 7 8 9 10 12 12 11 10 9 9 9 11 12 13 13 12 12 11 11 10 10 9 7 4 3 4 7 13 17 18 18 16 14 nan
nan 8 8 9 10 11 12 13 14 14 12 11 10 9 9 8 8 8 8 9 9 9 9 9 8 7 6 6 5 5 5 5 6 9 13 14 12 11 11 10 9 8 8 9 10 11 12 13 13 12 11 11 10 11 11 11 9 7 4 2 2 3 5 9 11 12 11 11 11 12 12 12 11 10 8 7 5 5 7 8 8 7 7 7 8 9 9 10 10 11 12 13 13 13 13 13 14 15 15 16 17 17 17 17 17 16 15 14 13 12 13 13 13 13 13 12 13 14 15 16 16 16 15 13 12 11 10 8 8 8 9 9 10 11 11 11 11 10 10 10 9 9 9 10 12 13 14 15 14 13 11 8 7 7 8 9 11 11 11 11 10 9 9 10 11 13 13 13 13 12 12 11 10 10 9 8 6 6 5 8 13 17 19 20 19 17 nan
nan 9 9 10 11 12 13 13 13 12 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 8 7 6 6 5 5 5 5 8 11 13 13 12 10 9 7 6 5 6 9 12 14 14 13 13 12 11 11 12 12 11 10 7 5 4 4 5 7 10 11 11 10 9 9 10 10 11 10 9 8 5 3 2 4 5 6 6 6 7 8 9 9 10 10 11 12 13 13 12 12 11 11 11 12 13 13 15 16 17 18 19 19 18 18 17 16 16 15 15 15 15 16 17 17 17 16 16 15 15 14 13 10 8 7 8 9 10 12 12 12 11 11 10 11 10 10 10 9 10 12 13 15 16 14 12 9 7 6 6 8 9 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 11 10 9 8 8 8 8 8 10 13 16 18 19 19 19 nan
nan 11 11 12 12 13 14 14 13 13 12 11 11 10 10 10 10 10 10 9 9 10 10 10 10 9 8 7 6 6 5 5 5 7 10 12 13 12 10 7 5 4 3 4 8 12 14 14 13 11 11 12 14 13 13 13 12 11 10 10 10 10 10 9 9 9 8 7 7 7 8 9 9 9 8 5 3 2 3 3 4 5 7 8 9 10 10 10 11 11 12 12 12 12 11 10 9 9 10 10 11 12 13 15 16 18 19 19 19 18 17 16 16 16 16 17 17 17 15 13 13 13 14 15 15 14 11 8 8 8 10 12 13 13 12 12 11 11 11 11 11 11 10 11 12 14 16 16 14 11 8 5 5 6 8 10 10 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 11 9 9 8 9 9 10 12 13 14 15 16 17 19 nan
nan 12 12 12 13 13 14 15 15 15 14 14 13 12 12 12 12 11 11 10 10 10 10 10 10 9 8 7 6 6 6 6 6 7 9 11 12 12 9 7 5 3 2 4 7 10 12 12 11 10 11 13 14 14 13 14 14 14 15 15 15 13 12 9 8 6 5 4 3 4 6 7 8 9 9 7 4 3 3 3 5 7 9 10 10 10 10 10 11 11 12 12 12 12 11 9 8 8 10 10 10 10 11 12 14 15 16 16 16 16 15 15 15 15 15 15 14 13 11 10 11 12 14 16 18 17 13 10 9 10 11 12 13 12 12 12 12 12 12 12 12 11 11 11 12 13 14 14 13 11 8 6 5 6 8 10 10 10 11 11 12 11 11 10 9 9 9 10 11 12 12 12 11 9 8 8 8 9 10 11 12 12 12 13 15 17 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1898 2017 2107 2172 2220 2270 2340 2429 2516 2522 2503 2493 2471 2399 2277 2152 2050 1933 1810 1713 1636 1570 1525 1520 1558 1597 1631 1648 1670 1640 1560 1489 1453 1523 1641 1784 1957 2116 2205 2235 2290 2431 2617 2793 2914 2965 2980 2990 2979 2911 2848 2749 2520 2075 1540 1072 750 577 517 526 495 458 501 663 979 1432 1880 2066 2052 1999 1946 1856 1718 1590 1532 1559 1655 1748 1856 2007 2121 2204 2289 2367 2374 2343 2323 2335 2455 2634 2868 3119 3310 3537 3793 4046 4308 4438 4526 4664 4830 4933 4941 4811 4623 4465 4315 4215 4191 4210 4210 4127 3996 3730 3451 3295 3297 3373 3349 3227 3151 2983 2862 2740 2585 2525 2741 2749 2499 2226 2050 1766 1388 1228 1429 1720 2033 2280 2413 2493 2552 2583 2598 2563 2425 2298 2227 2155 2060 1979 1903 1860 1870 1814 1724 1625 1523 1490 1577 1670 1689 1612 1662 1571 1441 1445 1518 1517 1510 1585 1700 1797 1826 1802 1777 1741 1737 1734 1728 1706 1676 1651 1632 1612 1590 1616 1590
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1904 1948 1951 1915 1893 1889 1881 1806 1729 1656 1609 1604 1625 1647 1665 1681 1707 1740 1778 1786 1742 1691 1637 1605 1610 1639 1670 1692 1696 1674 1672 1705 1763 1857 1998 2164 2347 2526 2599 2607 2473 2281 2055 1763 1465 1283 1288 1250 1139 958 693 435 263 187 169 163 155 143 137 143 154 164 171 174 183 206 249 302 379 507 675 802 844 737 687 659 655 683 747 850 1001 1259 1399 1542 1705 1786 1730 1611 1646 1623 1681 1687 1701 1735 1781 1846 1937 2036 2147 2241 2314 2360 2400 2473 2573 2597 2639 2680 2756 2847 2981 3150 3351 3551 3654 3519 3455 3521 3600 3723 3877 3891 3967 4042 3940 3763 3583 3424 3333 3292 3233 3142 3066 2952 2822 2739 2697 2591 2518 2459 2396 2357 2319 2297 2328 2293 2243 2176 2111 2058 2041 2041 1992 1910 1803 1715 1611 1532 1500 1497 1496 1498 1449 1403 1384 1385 1403 1449 1497 1507 1512 1513 1498 1487 1475 1450 1444 1452 1394 1382 1393 1413 1429 1447 1426 1405 1382
1952 1959 1919 1859 1841 1806 1754 1673 1619 1593 1580 1582 1611 1656 1660 1658 1657 1667 1683 1699 1709 1708 1694 1687 1697 1727 1754 1773 1798 1823 1871 1916 1949 1984 2038 2119 2239 2356 2287 2265 2217 2044 1787 1484 1228 1144 1194 1135 911 626 399 263 199 176 164 151 143 134 121 112 112 122 138 145 151 164 189 219 273 398 585 656 671 642 604 556 515 508 549 650 804 1038 1188 1270 1327 1341 1318 1368 1335 1339 1390 1425 1440 1451 1475 1528 1582 1646 1707 1765 1815 1857 1893 1931 1949 1924 1881 1851 1870 1901 1968 2078 2244 2455 2578 2582 2551 2544 2648 2831 3024 3281 3564 3751 3818 3829 3835 3793 3758 3695 3610 3542 3457 3298 3131 3041 2962 2875 2818 2719 2648 2655 2704 2732 2652 2538 2425 2321 2234 2183 2177 2138 2028 1937 1836 1780 1732 1679 1648 1649 1661 1627 1555 1492 1459 1450 1440 1472 1519 1538 1537 1545 1554 1558 1557 1586 1613 1628 1588 1561 1574 1607 1586 1608 1591 1562 1560
1978 1970 1940 1904 1767 1731 1653 1590 1565 1569 1587 1621 1671 1722 1732 1717 1684 1662 1660 1673 1698 1720 1753 1790 1830 1859 1870 1882 1922 1984 2026 2002 1935 1845 1786 1805 1901 1999 1842 1722 1720 1645 1478 1320 1292 1334 1124 819 549 350 244 202 183 167 154 140 134 127 113 94 79 82 97 106 113 122 131 142 174 277 490 553 583 572 564 530 470 435 451 505 622 759 849 886 891 905 990 1165 1142 1148 1169 1203 1238 1261 1275 1300 1318 1347 1365 1381 1414 1454 1472 1482 1478 1439 1390 1354 1351 1366 1391 1444 1536 1654 1779 1875 1936 2021 2134 2266 2437 2579 2758 2929 3083 3249 3434 3577 3589 3489 3438 3482 3550 3544 3455 3389 3273 3180 3134 3082 3042 3047 3041 2989 2870 2744 2598 2449 2348 2319 2299 2213 2139 2083 2042 2018 1977 1904 1850 1831 1825 1780 1702 1604 1547 1595 1609 1604 1617 1631 1630 1611 1612 1675 1687 1729 1751 1764 1770 1756 1749 1785 1749 1751 1742 1725 1700
1946 1946 1952 1967 1749 1681 1612 1564 1546 1567 1627 1696 1753 1786 1780 1751 1714 1683 1667 1668 1681 1725 1814 1880 1948 1990 2004 2019 2059 2114 2088 1971 1801 1625 1484 1411 1439 1569 1454 1222 1185 1216 1214 1236 1350 1296 887 507 307 217 182 171 170 163 151 140 132 120 104 86 64 57 61 68 72 75 82 95 118 162 272 387 455 445 524 592 513 453 418 427 455 484 504 514 529 574 673 788 905 1057 1077 1059 1087 1120 1127 1125 1136 1155 1165 1172 1185 1196 1206 1207 1189 1157 1127 1105 1094 1089 1099 1133 1167 1223 1289 1348 1404 1475 1558 1647 1773 1876 1976 2075 2177 2317 2480 2613 2632 2669 2713 2799 2954 3108 3124 3129 3145 3103 3079 3153 3251 3207 3231 3214 3097 2991 2907 2837 2792 2776 2716 2610 2513 2455 2432 2419 2365 2159 2076 2039 1993 1910 1788 1680 1712 1774 1799 1752 1732 1742 1714 1624 1621 1744 1744 1819 1938 1974 1927 1836 1807 1817 1848 1897 1911 1899 1844
1902 1925 1954 1981 1823 1722 1667 1641 1633 1652 1698 1756 1823 1838 1808 1755 1698 1654 1637 1651 1671 1783 1910 1997 2075 2141 2177 2187 2195 2200 2112 1912 1667 1436 1248 1131 1111 1158 1161 1070 1054 1091 1122 1158 1252 1158 750 387 227 205 195 151 140 144 144 137 126 114 107 99 77 51 39 38 32 30 35 47 60 72 109 184 247 292 390 472 444 431 434 408 391 378 357 338 342 366 418 523 656 768 853 912 941 982 1008 991 997 1010 1015 1012 1016 1024 1023 1014 996 979 963 949 934 915 902 920 935 957 979 1002 1034 1065 1122 1191 1278 1358 1432 1500 1554 1603 1709 1812 1883 1933 1967 1966 1915 2031 2129 2187 2335 2330 2289 2342 2305 2558 2860 3110 3108 3052 3099 3201 3274 3243 3149 3055 2961 2879 2819 2732 2621 2492 2412 2341 2279 2207 2114 2100 2040 1996 1993 1973 1914 1801 1650 1619 1734 1900 2052 2129 2029 1826 1726 1718 1795 1866 1922 1926 1895 1937 1936
1911 1959 2012 2051 1976 1880 1818 1790 1775 1773 1799 1833 1863 1849 1796 1727 1662 1618 1609 1642 1699 1872 1988 2066 2147 2224 2262 2260 2257 2192 2030 1772 1493 1245 1055 955 940 882 950 1042 1077 1083 1100 1138 1204 1108 708 381 226 177 148 124 118 116 111 111 106 105 110 108 88 48 27 23 18 11 8 11 20 33 44 59 87 128 176 215 222 225 248 264 273 283 291 289 279 286 300 325 382 438 486 540 633 740 897 909 887 878 878 883 880 880 871 857 844 832 815 788 756 730 701 691 695 703 714 722 738 768 810 859 911 972 1039 1102 1154 1188 1225 1276 1315 1337 1352 1418 1446 1499 1600 1828 1857 1749 1783 1899 2116 2453 2572 2600 2633 2685 2785 2910 2927 3046 3100 3092 3050 2995 2937 2864 2824 2682 2564 2508 2517 2495 2434 2376 2272 2199 2180 2154 2056 1945 1961 2044 2072 2115 2110 1963 1738 1587 1610 1788 1947 2022 2010 1930 1881 1949 1987
1966 2005 2047 2081 2054 1991 1947 1925 1907 1891 1893 1903 1907 1882 1822 1749 1695 1670 1669 1701 1796 1887 1916 1916 1929 1972 2031 2064 2089 2011 1838 1583 1314 1088 924 827 759 630 660 792 938 1044 1103 1147 1198 1037 680 403 260 197 158 130 119 112 104 97 90 88 90 85 71 31 15 10 5 0 0 0 3 5 6 9 14 23 36 49 55 43 30 48 81 118 153 174 176 191 217 249 278 299 328 346 369 481 719 827 819 775 751 755 753 745 730 716 702 687 665 628 588 550 524 508 500 500 510 522 535 549 575 606 639 675 715 755 783 798 812 838 871 905 952 1103 1200 1310 1448 1612 1754 1794 1770 1861 1989 2123 2192 2175 2143 2142 2216 2289 2378 2497 2581 2624 2589 2561 2430 2231 2156 2199 2217 2204 2327 2390 2317 2303 2211 2146 2101 2115 2142 2113 2166 2182 2182 2152 2070 1849 1729 1827 1956 2000 1938 1800 1682 1643 1649 1766 1875
1992 2009 2023 2032 2030 2007 2003 2010 2013 2007 1993 1981 1972 1941 1886 1831 1797 1788 1794 1807 1811 1727 1608 1507 1465 1508 1623 1717 1772 1705 1529 1313 1109 939 815 722 606 514 495 581 746 937 1108 1168 1123 898 619 407 287 227 189 152 136 121 105 91 80 71 62 56 59 33 15 6 1 0 0 0 0 0 0 0 1 1 2 4 4 1 0 0 5 17 31 40 45 63 77 95 129 180 229 305 328 379 500 599 656 695 652 631 623 614 601 586 568 542 516 477 442 413 392 379 372 372 378 387 395 401 407 414 422 433 442 449 446 425 415 436 465 532 664 861 1044 1207 1331 1412 1481 1522 1490 1560 1584 1573 1544 1494 1546 1575 1647 1687 1717 1762 1847 1912 1854 1780 1650 1507 1437 1484 1529 1519 1542 1472 1436 1454 1513 1521 1466 1478 1566 1616 1637 1679 1795 1921 1931 1990 2079 1988 1860 1672 1394 1120 871 737 919 1131 1271
2012 2025 2032 2030 2035 2036 2053 2078 2096 2095 2065 2030 1997 1953 1905 1871 1855 1839 1806 1729 1571 1331 1141 1040 1024 1082 1211 1377 1469 1429 1295 1094 894 778 718 673 613 543 502 535 694 981 1181 1154 990 755 534 374 281 230 203 177 143 110 85 72 64 53 42 37 41 33 21 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 6 10 11 10 24 72 193 290 317 324 345 417 580 566 546 525 505 484 463 443 413 380 348 323 306 292 280 270 271 271 268 262 257 255 250 241 228 214 198 170 129 112 153 193 263 407 652 901 1089 1189 1192 1189 1193 1149 1173 1169 1074 910 791 1013 1118 1168 1186 1186 1171 1188 1247 1245 1196 1168 1135 1092 1085 1050 1010 932 873 830 768 765 716 786 780 739 675 707 863 1032 1191 1226 1252 1378 1398 1248 1034 796 679 575 476 484 577 653
2064 2068 2076 2093 2088 2061 2037 2026 2025 2024 2002 1963 1903 1847 1820 1819 1816 1768 1635 1418 1158 901 748 699 711 775 915 1106 1220 1213 1120 955 765 641 567 539 515 480 492 617 903 1247 1231 1069 866 662 489 360 271 220 189 146 106 74 52 41 37 30 24 23 23 21 16 7 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 9 79 148 187 204 204 198 267 364 438 445 420 384 354 334 309 278 249 231 221 211 200 188 179 171 161 144 125 114 108 99 78 59 45 33 20 13 23 50 101 251 493 732 871 889 862 850 837 832 837 838 826 805 641 723 785 808 817 815 809 827 857 887 893 890 877 840 815 803 768 718 676 646 627 620 593 587 546 494 457 451 502 537 581 615 592 530 570 649 595 533 518 494 467 461 482 494
1953 1918 1907 1912 1892 1848 1800 1764 1746 1741 1719 1649 1544 1487 1522 1619 1687 1606 1353 1080 863 659 511 440 445 537 730 896 1000 981 882 739 567 429 353 328 323 329 442 735 1116 1309 1186 983 763 581 444 339 263 208 167 121 82 54 34 22 16 9 8 9 9 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 25 52 88 112 99 110 160 231 300 336 310 274 246 220 192 169 155 147 136 127 117 101 85 73 60 38 23 25 23 12 5 3 2 2 0 1 9 46 167 366 561 636 607 579 558 545 541 543 549 538 531 525 514 503 504 520 540 569 599 629 671 706 716 717 702 686 670 643 613 592 575 550 541 519 507 487 468 463 470 479 480 482 467 442 434 437 441 440 449 460 457 449 452 477 474
1493 1431 1422 1445 1458 1444 1392 1309 1221 1162 1136 1098 1089 1154 1292 1455 1551 1445 1149 893 666 463 305 217 213 303 516 735 800 738 603 437 286 202 176 181 180 212 363 662 1000 1171 1098 877 625 457 374 307 236 175 132 93 62 40 22 10 6 3 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 3 14 34 38 44 42 57 123 221 241 211 176 147 121 103 93 84 74 66 58 46 32 22 15 9 5 4 2 1 0 0 0 0 0 0 4 27 94 218 381 415 393 366 344 332 327 326 330 319 303 288 277 271 271 288 326 373 425 460 489 522 559 586 564 550 538 517 493 475 466 438 418 407 400 395 393 409 417 416 423 438 453 448 452 443 426 426 442 460 459 451 450 456 447
825 753 763 873 965 997 928 788 675 607 637 722 873 1086 1299 1441 1468 1297 1007 730 474 272 140 73 69 122 318 572 666 611 464 280 140 102 72 94 118 154 255 459 733 864 884 701 490 354 285 240 184 116 83 60 42 26 11 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 4 5 11 36 111 167 151 117 88 67 53 47 42 31 27 23 17 10 5 3 2 0 0 0 0 0 0 0 0 0 0 1 9 33 88 180 229 244 234 214 201 190 182 180 170 156 144 137 136 138 148 170 211 262 302 319 323 333 354 357 358 353 342 330 309 281 267 265 262 259 255 260 264 275 289 302 319 345 358 377 385 388 405 442 489 503 505 503 492 479
310 262 279 357 440 507 505 433 400 424 499 636 861 1129 1337 1402 1328 1070 818 553 315 143 48 14 11 33 153 377 544 569 480 380 260 176 72 45 61 96 172 341 660 675 620 497 378 283 206 145 102 57 39 31 24 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 36 97 98 76 56 42 31 24 21 13 11 10 8 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 29 69 107 137 147 137 128 118 109 102 94 89 84 78 78 80 84 99 123 155 185 200 201 200 206 208 212 212 206 203 192 178 167 164 162 162 159 163 165 167 175 189 200 201 201 216 238 259 289 326 401 475 513 536 559 579
156 133 176 220 238 254 276 291 306 330 425 579 785 985 1080 1008 854 723 588 409 234 97 17 2 0 5 62 222 412 533 545 506 304 195 90 40 41 66 123 294 654 653 482 325 228 165 120 100 61 33 19 14 13 15 17 13 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 5 50 62 51 40 34 24 15 11 7 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 13 24 46 72 78 76 77 77 76 73 69 65 60 57 54 54 62 76 95 114 130 133 129 127 127 130 133 134 134 132 128 126 127 121 123 125 128 129 131 134 141 150 155 154 148 148 154 163 168 224 296 377 451 539 621
106 101 167 205 231 238 229 234 268 293 358 426 502 563 570 507 442 450 424 319 186 79 17 4 5 16 70 164 272 356 396 391 308 198 104 54 40 42 67 256 529 554 412 245 142 104 84 32 18 12 8 7 16 33 29 22 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 18 26 23 24 21 15 11 7 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 4 19 24 26 31 37 43 48 49 47 46 42 37 38 45 52 63 74 84 89 88 81 73 75 77 80 83 83 81 81 84 85 90 95 100 106 109 113 119 125 129 126 117 116 126 124 119 147 193 244 305 411 502
71 67 107 130 146 164 179 179 184 162 145 151 180 220 253 261 285 339 335 261 158 71 19 5 10 21 29 50 100 185 300 391 368 263 161 92 56 41 26 164 311 356 323 235 130 88 75 59 35 13 4 8 26 58 29 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 9 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 4 7 9 12 17 15 19 18 16 23 39 42 45 50 58 65 67 64 58 53 48 46 47 45 38 36 37 43 53 61 65 70 74 77 80 86 91 90 86 92 110 118 121 133 150 165 210 269 325
40 40 56 76 99 117 122 117 104 91 86 87 99 117 133 140 194 249 242 188 116 52 13 3 5 10 7 34 110 204 294 334 307 243 177 118 66 32 6 45 92 120 116 78 36 28 24 15 10 6 2 6 25 45 22 9 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 1 2 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 1 1 2 3 4 7 10 21 22 23 28 35 44 40 39 41 32 22 20 15 12 12 14 17 22 27 27 28 34 35 38 44 52 62 65 69 80 89 100 120 136 146 167 195 226
18 18 27 42 62 79 80 71 68 69 69 68 67 69 76 79 116 146 143 110 67 30 11 2 1 6 17 54 123 194 241 244 211 167 123 79 42 14 1 2 7 12 8 0 0 2 2 1 0 0 0 5 28 23 11 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 8 17 25 32 31 32 31 21 9 6 3 4 3 4 6 5 7 6 7 13 16 15 15 22 30 26 31 38 43 46 57 78 102 123 147 176
8 7 13 19 32 49 54 48 49 53 53 46 36 34 43 50 66 76 72 56 36 22 17 10 13 22 39 67 108 150 159 128 83 54 37 20 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 4 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 6 14 18 22 22 22 20 11 5 1 0 0 0 0 0 0 1 0 0 2 4 3 2 4 6 7 10 12 14 15 20 27 38 55 80 111
5 4 5 9 17 26 27 25 25 25 25 20 16 20 27 32 35 36 31 23 14 12 23 28 34 40 48 64 86 96 77 46 18 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 2 4 7 25 20 10 9 9 8 10 21 16 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 11 7 4 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 4 4 8 14 24 46
4 4 3 4 9 12 12 12 7 6 5 4 5 11 16 19 18 16 11 6 3 3 13 24 31 30 25 27 39 29 18 9 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 1 2 5 30 40 36 36 34 30 31 31 30 30 27 20 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 6 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 1 4 9
4 3 2 2 3 4 3 7 2 1 2 2 2 4 6 8 7 5 2 1 1 1 3 7 10 9 6 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 1 8 20 39 55 60 64 55 55 56 53 50 47 45 41 32 23 10 2 4 3 2 1 0 0 0 0 0 0 0 0 0 1 4 4 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 2 2 2 1 0 1 6 3 2 2 3 3 2 2 2 1 0 0 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 0 0 0 0 0 0 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 14 38 64 74 80 73 74 79 76 67 59 59 57 53 46 36 27 28 19 15 13 12 10 5 3 3 5 5 5 8 11 11 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
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