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 8 9 9 8 9 9 7 7 8 9 10 11 10 9 8 8 8 7 8 8 7 7 8 9 9 9 8 7 8 8 8 9 8 9 9 9 9 9 10 11 11 9 7 7 7 8 9 9 8 8 9 9 8 8 9 8 8 9 9 8 7 7 7 7 9 8 7 8 9 9 9 10 11 12 11 10 10 10 10 9 7 7 8 8 7 6 6 6 8 8 8 8 8 8 8 8 8 8 8 7 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 8 7 7 8 9 9 8 9 9 8 6 7 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 10 12 13 12 10 10 11 10 9 10 10 10 9 10 12 nan
nan 8 9 9 9 9 9 8 6 7 9 11 13 12 11 9 8 9 9 8 7 7 8 9 9 10 9 8 7 7 7 7 8 9 9 8 8 8 9 10 11 11 10 9 8 7 8 8 9 9 9 9 9 8 8 9 9 8 9 9 8 8 8 7 7 7 7 8 9 9 9 9 8 9 10 11 11 11 11 10 10 9 8 9 9 7 6 5 5 6 8 9 9 8 8 8 7 8 9 10 9 7 6 7 6 7 8 8 8 7 7 9 9 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 7 5 7 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 9 10 9 10 10 nan
nan 8 9 9 8 8 9 8 6 5 8 10 13 14 13 11 10 9 10 8 6 7 8 9 9 11 10 8 6 6 7 7 7 9 8 7 7 6 7 10 11 12 11 10 10 9 8 8 9 10 9 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 8 7 7 6 6 7 9 11 11 11 10 9 10 11 11 10 8 6 5 6 7 8 9 9 8 8 8 8 9 11 11 9 8 8 7 7 8 8 7 7 8 9 9 8 7 8 9 8 8 7 7 8 7 6 7 8 9 9 6 6 7 7 7 6 7 7 8 8 8 9 9 9 9 8 9 10 10 9 9 9 10 10 9 9 10 9 9 10 10 10 9 9 8 7 8 nan
nan 8 9 10 10 9 8 7 5 5 8 8 10 12 13 13 13 11 10 9 7 7 8 8 9 10 11 10 7 6 7 7 8 9 9 7 6 6 6 8 11 12 12 11 11 10 9 9 9 10 9 8 7 8 9 9 9 9 8 8 8 8 8 7 7 7 8 10 10 9 8 7 6 5 6 6 6 8 9 10 10 10 10 10 11 11 10 8 7 7 7 7 8 8 8 8 7 7 8 10 11 10 9 9 8 8 8 8 8 8 9 9 9 8 7 7 9 9 8 7 8 8 8 7 7 6 8 8 7 7 7 6 6 6 6 8 9 9 9 10 9 8 8 9 9 11 11 11 11 10 10 10 10 11 11 10 10 10 10 11 10 8 7 6 5 nan
nan 8 8 10 11 11 9 7 6 6 8 8 8 9 10 11 12 13 12 9 7 7 6 7 8 9 10 10 9 8 8 6 7 10 10 9 7 6 6 7 8 11 12 12 12 11 10 10 10 10 9 8 7 7 8 9 9 10 10 9 7 7 8 8 7 7 9 11 11 10 8 7 6 5 5 7 7 7 7 8 8 10 11 11 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 8 10 10 9 9 9 9 9 9 10 9 9 8 10 10 8 6 8 10 9 8 7 8 9 9 7 6 6 8 9 10 9 7 7 7 7 8 8 9 9 10 10 9 9 9 9 11 12 11 11 11 11 11 11 12 13 12 11 11 11 11 10 9 9 8 6 nan
nan 9 8 9 10 10 8 6 7 8 8 8 9 9 8 8 11 13 12 10 7 6 6 6 7 7 8 10 10 9 10 7 6 10 10 9 7 6 7 8 8 9 10 12 13 12 12 10 10 10 9 10 9 8 8 8 8 8 10 11 9 7 8 8 7 7 11 12 10 10 8 7 7 6 6 7 8 8 8 7 7 7 9 10 9 10 11 11 10 10 10 10 10 10 9 8 7 7 6 8 9 9 8 8 8 8 9 9 8 8 7 8 10 11 9 8 8 10 10 9 9 9 9 10 9 7 6 7 9 10 10 8 7 8 8 8 7 8 9 10 11 10 10 10 10 12 12 12 11 11 11 10 11 12 13 12 11 11 10 9 9 9 10 10 9 nan
nan 8 9 8 8 8 7 6 6 7 8 8 8 9 8 8 9 12 13 10 8 6 7 7 6 6 7 9 9 9 9 8 8 10 10 9 7 7 8 9 10 11 11 10 11 13 13 11 10 9 9 10 10 9 8 7 6 7 8 9 10 11 11 11 9 9 9 10 10 9 8 7 7 7 7 7 8 8 10 9 7 6 7 8 8 9 10 10 10 10 10 10 10 9 9 8 8 9 8 8 10 9 9 8 8 8 8 8 7 7 7 9 10 11 10 9 8 10 11 10 10 10 9 10 10 8 7 7 8 9 9 8 7 8 9 9 8 8 9 9 9 10 10 10 11 12 12 12 13 12 11 11 11 10 10 9 10 10 10 10 9 9 10 10 10 nan
nan 9 9 8 8 8 7 5 4 6 7 8 9 9 8 8 9 10 11 10 9 8 7 8 8 7 7 8 9 9 9 9 9 10 11 10 8 7 7 8 9 12 13 10 9 11 12 12 10 9 9 10 10 9 8 7 7 7 7 7 8 9 11 12 12 11 10 9 9 8 8 7 7 7 8 8 8 8 9 10 9 8 7 8 7 7 7 7 7 8 9 9 8 8 8 10 12 11 11 11 11 10 10 9 8 8 8 9 8 7 8 9 9 9 10 9 8 9 10 11 11 10 10 10 10 10 9 8 7 7 7 7 7 8 9 10 9 9 8 8 8 9 9 10 10 10 10 12 12 12 12 12 11 10 8 8 9 10 11 11 11 10 10 11 12 nan
nan 10 9 9 9 9 8 5 3 3 5 8 9 9 8 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 9 9 10 11 12 11 8 7 7 8 9 11 11 10 9 10 11 10 9 9 9 9 9 9 10 9 7 7 7 7 7 8 11 13 13 12 10 9 8 8 7 7 7 8 9 9 9 9 9 9 9 10 9 8 6 4 3 3 5 7 9 9 8 8 10 12 11 12 12 12 11 11 11 9 8 8 9 9 8 8 9 9 8 8 8 8 10 10 10 10 10 9 9 9 9 8 8 7 7 8 8 8 8 9 10 9 8 7 7 8 9 9 10 9 9 9 9 9 10 11 10 10 10 10 9 9 9 9 10 11 12 14 15 14 nan
nan 10 11 10 9 10 10 8 6 5 5 7 8 8 9 9 9 9 8 8 8 9 9 10 9 8 8 8 8 8 8 8 9 9 9 13 13 10 8 7 7 7 8 10 10 8 8 10 12 10 9 9 10 10 11 11 10 9 9 9 9 8 8 9 11 11 12 12 11 9 8 7 6 7 9 10 10 10 9 9 9 9 10 10 8 6 5 3 3 3 4 6 7 9 9 8 9 11 11 11 12 12 11 11 10 8 7 7 8 8 9 9 9 9 8 7 7 9 9 9 10 9 8 7 7 8 9 9 9 7 7 9 10 9 8 9 9 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 9 9 11 13 15 15 14 nan
nan 9 11 11 10 9 9 8 8 8 7 7 8 8 9 9 9 10 8 7 7 7 8 9 9 9 9 9 9 8 8 8 9 8 8 11 13 11 9 8 8 6 6 8 8 7 6 8 11 11 10 10 11 13 13 12 10 9 9 10 11 10 8 9 10 10 11 13 13 11 8 7 6 7 8 9 10 9 9 8 8 8 9 9 8 6 5 5 4 4 6 7 9 10 11 10 10 11 11 9 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 9 7 7 8 10 10 9 8 7 8 8 8 8 8 8 9 9 9 9 10 9 9 8 8 9 9 9 11 12 12 11 11 11 12 12 12 13 14 nan
nan 9 11 10 10 9 8 7 7 8 8 7 8 10 9 9 9 9 9 8 6 6 6 7 8 8 9 10 10 9 9 9 9 9 8 9 11 12 10 9 8 7 7 8 7 7 5 6 8 9 8 9 11 14 15 13 10 8 8 9 12 12 10 10 9 8 9 12 13 13 11 9 8 8 7 8 9 8 8 8 7 8 8 9 8 6 6 7 6 5 6 9 12 13 13 12 10 10 10 9 10 10 8 8 10 10 10 9 10 9 9 9 10 10 9 9 9 9 9 8 8 8 8 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 9 9 8 9 9 10 11 12 12 11 12 12 12 11 10 10 10 nan
nan 9 10 10 10 9 9 8 7 7 8 8 8 10 10 9 9 10 10 8 8 7 6 6 7 7 8 8 9 9 9 9 10 9 8 8 10 11 10 10 9 8 8 8 9 8 7 6 8 8 7 8 10 10 11 11 10 8 7 8 10 11 11 11 10 7 7 9 11 12 14 14 12 10 8 7 7 7 8 7 6 6 7 9 9 7 8 9 7 5 3 4 7 10 11 10 9 11 12 12 12 13 13 12 11 10 9 9 10 10 11 11 11 10 10 11 10 9 9 9 8 8 8 8 9 9 10 12 13 11 10 8 8 8 9 9 9 9 10 11 11 11 11 10 11 11 11 11 11 11 11 10 11 12 11 10 10 10 11 11 10 9 8 7 7 nan
nan 9 10 10 10 10 10 9 8 8 8 8 8 9 10 9 9 10 10 7 8 9 8 8 7 7 8 7 7 8 10 10 9 9 8 8 10 10 9 9 9 8 8 9 10 9 8 8 8 9 9 8 7 7 8 8 8 7 7 7 9 11 11 12 11 8 6 7 9 11 14 16 14 12 10 8 8 9 8 7 6 5 6 8 9 9 8 8 8 7 4 3 3 5 7 9 10 12 15 16 15 16 17 19 18 15 13 13 14 14 13 13 12 11 11 11 10 10 10 10 10 11 10 9 10 11 13 15 14 13 12 10 9 8 7 8 8 9 9 9 10 10 10 10 9 9 11 12 13 13 12 12 12 12 13 12 11 10 10 9 8 8 7 7 7 nan
nan 8 9 10 10 10 9 9 9 8 8 9 8 10 12 11 11 11 10 8 7 8 8 10 10 9 9 8 7 8 9 9 9 9 8 8 10 11 9 9 9 9 8 9 10 8 9 10 10 9 10 10 8 7 7 8 7 6 7 8 8 10 10 11 11 10 8 8 9 11 14 14 13 11 9 8 10 11 10 7 5 5 5 7 9 10 9 8 9 7 6 5 4 3 5 7 9 11 13 15 17 18 19 22 27 28 24 21 21 18 18 18 15 11 11 11 11 11 12 13 13 13 12 11 10 11 13 14 13 13 13 12 10 8 9 9 9 8 8 9 9 8 8 8 8 9 11 12 11 10 10 10 11 11 11 11 9 8 9 9 9 9 10 10 8 nan
nan 9 9 10 10 10 9 8 9 9 8 8 8 10 13 13 13 12 11 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 9 10 9 9 9 10 9 7 7 8 9 9 10 10 9 9 11 12 11 10 9 8 6 8 9 7 8 9 10 10 11 11 10 10 11 13 13 11 8 6 7 9 9 8 6 6 5 5 6 8 10 13 13 11 9 6 5 5 4 5 6 10 12 13 16 19 20 19 20 25 27 27 26 26 22 20 19 16 12 10 10 13 14 14 14 14 13 11 11 10 10 12 12 12 13 13 13 11 10 10 10 9 8 8 8 7 8 7 7 7 8 8 8 8 8 8 10 11 11 8 8 8 9 9 10 11 11 11 10 10 nan
nan 9 9 9 10 9 8 8 9 9 8 8 8 10 12 14 14 13 12 12 11 11 11 11 10 10 11 11 10 10 9 8 8 9 10 11 10 9 8 9 11 11 8 7 7 8 8 9 9 10 9 9 11 13 12 12 10 7 9 9 7 6 8 11 13 16 16 14 12 11 9 10 10 7 5 6 6 6 6 6 6 6 7 7 8 9 12 14 14 13 9 6 6 6 7 10 15 18 18 17 17 16 15 14 16 18 18 19 20 21 19 17 14 13 11 10 11 13 14 13 12 11 11 10 10 9 10 10 10 12 13 12 11 9 9 9 9 8 8 7 7 7 6 6 6 6 7 6 7 8 9 10 10 9 8 9 10 10 9 10 10 11 10 10 11 nan
nan 9 10 10 9 8 8 9 9 8 9 9 9 10 12 13 14 12 11 12 12 12 12 12 11 10 10 10 11 11 10 8 7 7 9 10 10 10 9 10 12 12 12 10 9 8 9 10 10 9 9 8 9 12 12 12 10 9 8 7 6 6 10 17 21 21 20 16 12 10 9 8 10 8 6 6 6 6 6 7 7 8 8 8 7 8 10 11 14 15 14 8 5 5 6 9 16 18 15 14 13 11 9 9 10 10 11 11 13 15 17 17 17 14 12 12 12 13 13 13 11 11 10 10 9 9 8 9 9 11 12 12 11 10 9 8 9 8 8 7 7 7 6 6 7 7 6 6 7 8 8 8 7 8 9 10 10 8 8 9 10 10 9 9 10 nan
nan 10 9 10 9 8 8 8 8 8 8 9 10 11 11 12 13 13 11 11 11 12 12 12 12 11 10 10 11 12 11 9 7 6 8 9 9 8 9 10 11 12 12 12 11 10 10 10 11 10 9 7 8 10 11 11 9 8 8 7 6 6 13 22 23 22 20 15 9 9 10 10 9 8 8 7 8 7 7 8 9 9 9 9 8 9 8 9 12 15 15 12 7 5 4 5 8 9 6 5 5 4 4 6 7 9 9 9 10 11 14 16 17 15 12 11 12 13 14 14 13 12 9 9 10 9 8 8 9 9 10 11 10 10 10 10 9 9 8 7 7 6 7 8 9 8 7 8 9 9 8 7 8 8 9 9 9 9 9 10 9 9 9 10 9 nan
nan 10 9 9 9 8 8 8 8 8 8 7 9 10 10 11 12 13 12 11 11 11 11 12 12 11 11 11 11 12 11 10 8 7 7 8 7 7 8 9 11 12 11 11 11 11 11 10 10 9 8 7 8 9 11 11 9 8 7 6 6 9 19 24 21 19 17 14 9 8 9 9 9 9 8 8 8 7 7 9 10 9 8 9 12 12 9 9 11 14 14 11 7 6 4 4 3 0 -3 -5 -5 -3 1 4 7 9 9 9 8 8 9 11 11 11 11 11 12 13 13 13 13 12 12 11 11 10 8 8 9 8 9 10 10 10 10 10 10 9 8 7 6 6 8 9 9 9 10 12 13 11 10 10 10 10 10 10 10 10 10 11 9 9 9 10 9 nan
nan 10 10 10 10 10 9 9 8 8 7 6 8 9 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 7 6 7 7 8 10 11 10 11 11 11 10 9 8 8 8 8 8 9 10 11 9 7 6 5 7 15 23 22 17 15 14 13 11 9 7 7 7 8 9 9 9 8 8 10 9 8 7 9 12 12 11 11 12 13 12 9 7 7 7 7 3 -0 -2 -2 -3 -2 1 5 7 8 8 7 7 6 6 7 7 8 9 10 11 12 12 12 10 10 11 12 11 9 8 8 8 8 9 9 9 9 9 10 9 9 9 8 8 8 8 9 11 12 13 13 13 11 11 11 10 9 9 10 11 11 10 9 9 8 9 10 9 nan
nan 10 10 11 11 11 11 9 9 8 8 6 6 8 10 11 12 12 11 11 10 10 10 11 11 11 11 11 11 10 10 9 10 10 9 9 7 6 7 7 8 9 11 11 11 10 10 9 8 7 7 7 9 10 11 10 9 7 6 5 9 17 20 16 13 11 11 12 12 10 8 8 9 10 9 8 8 8 9 10 9 8 7 7 10 11 10 10 12 14 13 10 9 9 10 10 8 7 7 7 8 9 7 5 5 5 5 5 6 7 7 6 7 6 7 7 8 9 10 11 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 10 10 10 10 9 9 10 10 11 11 11 10 11 12 10 9 8 9 10 10 11 9 8 9 9 9 9 8 nan
nan 10 11 11 12 11 11 10 9 9 8 7 6 7 9 10 10 10 11 11 11 10 9 10 11 12 12 12 12 11 10 10 10 10 10 11 10 9 8 8 8 9 10 11 11 11 11 10 9 7 6 7 10 11 11 11 9 6 6 6 9 15 15 12 9 9 10 11 11 10 9 10 11 11 9 8 8 6 7 7 7 7 7 6 7 8 8 9 12 15 13 12 10 11 12 12 11 11 12 13 14 14 12 7 3 2 2 4 6 7 8 7 7 7 6 6 7 8 9 10 11 10 9 7 6 4 4 7 7 6 6 6 7 8 7 7 8 9 9 9 9 7 8 9 9 9 9 9 9 10 11 10 9 10 11 12 12 11 10 9 10 10 10 9 8 nan
nan 10 11 12 12 12 11 10 10 9 8 8 8 7 8 9 8 9 11 11 11 11 9 9 12 14 15 14 12 11 11 10 10 10 10 11 12 11 10 10 10 10 10 9 10 12 12 11 9 8 7 8 10 11 11 11 9 7 6 7 9 15 15 10 7 8 8 10 10 10 10 9 8 9 9 9 8 6 5 5 5 5 5 6 5 5 6 9 14 16 15 12 11 12 13 12 12 11 12 12 12 12 11 8 5 3 3 4 6 7 6 6 7 7 7 7 8 9 10 10 11 13 12 10 6 0 -1 3 4 5 7 7 7 7 6 4 6 6 7 7 7 8 9 8 8 8 8 7 8 9 9 9 10 12 12 12 11 10 10 11 11 11 10 10 10 nan
nan 10 11 12 12 12 11 10 10 9 9 9 8 8 8 9 8 9 11 11 10 10 11 12 13 14 14 14 12 11 11 10 9 9 9 10 11 12 11 11 11 11 10 9 9 11 11 11 10 8 8 9 11 11 11 10 9 7 7 8 12 16 15 9 7 7 7 8 10 10 9 7 4 6 8 9 9 8 6 6 6 4 4 4 4 6 7 9 13 16 15 14 12 12 13 12 11 9 9 9 7 7 8 9 8 6 5 4 3 4 6 6 6 6 7 7 7 8 11 13 12 12 11 10 6 2 -0 1 1 2 4 6 8 8 6 5 4 4 4 7 9 10 11 10 8 8 8 9 10 9 9 9 10 12 12 10 9 8 9 9 10 10 10 10 8 nan
nan 10 11 12 12 12 11 10 10 10 10 9 9 9 9 9 8 9 11 11 12 12 13 13 13 13 12 12 12 11 10 10 10 9 8 9 11 11 11 11 10 10 9 9 9 10 10 10 10 9 8 10 11 11 10 9 9 9 10 10 12 14 14 11 9 8 9 9 9 9 7 4 2 5 8 9 9 9 6 5 5 4 4 5 5 6 7 8 10 12 13 13 13 12 12 10 9 8 8 7 6 6 8 10 10 8 5 4 3 3 4 5 5 5 7 7 5 6 10 13 13 12 9 7 6 5 5 4 4 1 3 8 9 9 9 8 5 2 2 5 8 10 10 9 8 8 9 10 11 11 11 11 12 11 11 9 8 9 9 8 8 9 8 7 6 nan
nan 9 10 11 12 12 11 10 10 10 11 11 10 9 9 9 10 10 10 11 13 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 8 8 9 9 10 10 9 10 11 11 10 9 9 9 11 11 10 12 14 14 13 12 12 11 10 8 6 2 1 2 6 9 9 9 7 5 4 4 5 6 6 6 6 7 9 11 11 12 12 11 10 9 9 8 8 7 7 8 10 12 12 9 5 3 3 4 5 5 5 7 8 7 7 7 8 10 11 11 9 8 7 7 9 11 13 10 7 10 11 11 11 10 7 4 2 4 6 7 7 8 10 10 10 10 11 12 11 11 10 10 9 8 7 8 9 8 8 8 8 7 7 nan
nan 10 10 11 11 11 11 9 9 10 11 11 11 10 11 11 11 11 11 12 13 13 12 10 9 9 10 9 8 9 9 10 10 10 11 11 12 11 10 10 11 11 10 10 9 8 8 9 11 12 12 12 12 11 11 9 9 9 9 9 10 14 17 17 16 14 12 11 9 7 5 2 0 2 5 7 8 7 7 6 5 6 6 6 6 5 6 8 9 10 11 11 11 11 11 10 9 10 10 9 9 9 11 13 12 9 6 5 4 5 5 6 7 9 9 8 7 7 6 6 8 8 8 9 8 8 10 13 17 18 13 12 13 14 14 12 9 6 5 5 8 9 9 10 11 12 11 10 11 11 10 9 9 8 9 8 8 9 10 10 11 11 10 11 13 nan
nan 8 10 11 11 11 11 10 10 9 10 11 10 10 11 11 12 12 11 11 12 11 10 10 9 8 9 9 8 9 10 10 10 10 9 11 12 12 12 12 12 12 11 11 11 10 9 9 11 13 14 13 12 11 10 10 9 9 8 8 10 15 20 19 16 13 11 9 7 6 5 4 3 4 6 7 6 4 4 5 7 9 7 6 6 6 7 9 11 12 12 11 11 11 11 11 11 12 12 10 9 9 10 13 12 10 8 7 7 7 7 7 8 9 9 8 8 7 7 7 7 8 8 8 9 9 10 10 12 14 12 11 13 15 15 14 12 10 8 8 8 10 11 10 10 10 10 9 9 10 10 10 10 11 11 11 11 12 13 14 14 13 13 14 15 nan
nan 8 9 11 12 11 11 11 10 10 10 10 9 10 11 11 11 12 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 9 8 9 10 11 11 13 13 13 12 11 11 11 11 11 12 13 14 13 12 11 10 9 9 8 7 8 11 15 19 18 14 11 9 7 6 5 6 7 6 6 7 7 5 4 5 6 9 9 9 8 7 8 9 11 13 14 14 13 11 10 11 11 11 12 12 10 9 10 12 14 12 8 7 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 9 8 9 9 10 13 15 15 14 13 13 11 9 9 10 11 11 10 10 9 9 9 10 10 11 12 13 13 14 15 15 14 13 12 12 12 13 13 nan
nan 10 10 11 12 11 10 10 10 9 9 10 11 11 11 11 11 12 12 11 9 8 9 10 9 9 10 10 10 10 10 11 10 9 9 9 10 10 10 11 12 13 12 10 10 11 12 12 12 12 12 12 11 11 11 11 10 8 7 7 9 13 15 14 11 9 7 6 5 5 7 9 8 6 6 6 4 5 7 9 9 10 9 9 9 10 12 13 14 14 15 12 11 10 10 11 12 12 12 10 8 11 16 16 12 7 5 7 9 9 9 9 9 9 9 7 7 7 7 6 5 5 6 9 13 13 13 12 9 8 7 8 12 15 16 18 18 16 14 12 11 11 11 11 11 11 11 10 10 10 10 11 11 12 13 13 14 14 12 11 11 11 12 11 10 nan
nan 10 10 11 11 10 10 10 10 9 9 10 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 11 10 10 10 10 10 11 11 10 9 10 11 12 13 13 12 12 12 12 12 13 10 8 7 4 4 8 10 11 9 7 5 4 3 4 8 9 7 6 5 4 5 6 8 9 9 9 9 9 10 12 14 15 15 14 13 12 11 10 10 11 12 12 11 9 7 11 16 17 14 10 8 7 7 7 8 8 8 8 8 7 5 4 5 4 5 5 5 8 15 19 20 18 14 12 9 8 11 14 16 17 17 15 15 14 11 9 9 9 10 11 11 9 6 7 9 10 11 12 12 12 11 10 10 11 10 10 10 10 10 nan
nan 10 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 10 10 10 9 9 10 10 9 10 10 9 9 10 10 11 10 10 10 12 11 10 10 11 11 11 11 11 11 12 14 16 17 18 17 16 15 13 12 11 9 7 7 5 3 3 7 9 7 6 5 3 2 3 7 8 6 4 4 5 6 7 9 9 9 9 9 9 10 12 15 17 17 15 12 12 12 11 11 11 12 12 11 9 8 12 16 19 16 14 11 8 6 4 6 7 7 6 5 5 3 3 3 3 5 6 6 8 15 23 27 24 22 19 17 15 14 13 12 10 7 8 10 10 9 7 7 7 7 7 8 6 6 7 8 9 9 10 11 10 9 8 8 10 10 9 9 9 8 nan
nan 10 7 6 9 10 10 11 11 11 12 12 11 10 10 9 9 10 10 10 10 10 11 10 10 10 9 9 9 10 10 11 11 11 12 13 12 10 10 11 12 13 14 14 15 17 19 21 22 23 21 19 17 14 11 10 8 7 8 7 3 1 3 7 6 5 4 3 3 2 2 4 4 3 4 5 6 7 8 8 9 9 9 10 11 12 13 14 15 14 12 13 15 16 15 14 13 11 9 8 8 11 17 20 17 14 12 9 5 3 4 5 6 6 5 5 4 5 5 6 7 8 8 9 11 18 23 25 27 25 21 18 14 11 8 6 5 5 6 7 8 8 8 7 6 6 6 6 7 8 6 5 5 7 9 8 7 7 9 10 10 9 8 8 8 nan
nan 10 9 6 8 10 11 11 11 12 12 12 11 10 10 10 10 9 9 9 9 10 11 11 10 9 9 9 10 11 11 11 11 11 13 15 14 12 11 12 13 15 17 19 19 20 20 21 21 21 20 18 15 13 11 11 11 11 10 9 4 1 2 5 5 5 4 4 4 2 1 1 3 4 4 5 6 7 7 8 9 10 12 13 13 13 12 12 13 13 13 14 17 20 19 18 15 11 8 6 7 12 19 21 17 14 11 7 3 2 3 5 6 7 7 7 7 7 8 8 8 9 9 10 10 12 13 16 24 24 18 13 9 6 6 5 6 7 7 7 8 8 7 7 9 10 10 10 8 8 6 2 3 5 6 5 5 6 8 9 10 9 9 8 8 nan
nan 10 10 9 10 11 11 11 11 12 11 11 12 11 11 11 9 8 8 9 10 10 11 11 10 10 10 10 10 11 11 12 11 11 13 15 15 14 13 14 15 15 16 17 18 18 17 16 15 15 15 14 13 12 13 15 14 13 11 10 7 3 3 4 5 5 5 5 5 5 3 1 3 5 5 6 7 8 9 8 9 10 12 14 15 14 13 12 13 13 13 12 13 15 16 17 16 12 8 6 8 14 20 20 17 12 9 5 1 0 1 3 6 7 8 8 8 9 9 9 9 9 10 11 11 12 12 13 17 17 12 8 6 6 3 2 5 8 8 7 6 6 5 6 11 17 19 17 15 12 8 5 4 5 5 4 5 7 9 9 8 8 8 8 8 nan
nan 11 11 11 11 12 12 11 11 11 11 12 12 12 11 10 8 7 9 10 11 11 10 10 10 10 10 10 10 10 12 13 13 13 14 14 14 14 16 16 15 14 13 13 13 13 13 13 12 12 12 12 11 11 14 17 13 10 11 10 8 5 4 5 6 6 6 6 6 6 5 2 3 6 6 7 7 9 9 8 8 8 10 13 15 16 15 14 13 13 13 11 9 8 11 13 13 12 8 7 10 14 17 16 13 9 6 4 -1 -3 -0 3 5 7 8 9 10 10 9 9 9 10 11 12 13 13 13 13 12 10 8 6 4 4 2 2 4 7 8 6 6 6 5 5 10 20 24 22 20 17 12 7 6 8 7 7 8 9 9 8 8 7 7 7 8 nan
nan 12 12 12 12 13 12 12 11 10 11 12 12 12 11 10 9 9 10 12 12 12 12 11 11 11 11 10 9 11 13 14 14 14 14 14 13 13 15 16 15 13 11 10 10 9 10 11 10 10 11 11 10 11 12 12 10 9 10 9 8 7 7 6 6 6 7 6 6 7 6 2 1 4 6 7 7 7 7 8 8 8 9 10 13 15 16 15 13 12 11 9 7 7 9 10 9 8 8 7 8 10 13 12 10 7 5 5 0 -3 -2 1 5 8 8 10 11 10 10 9 10 11 13 14 13 13 12 11 9 8 7 7 6 5 5 6 7 8 9 8 8 9 10 10 12 14 17 19 18 16 14 9 7 9 10 10 10 9 9 9 8 7 7 7 8 nan
nan 13 14 14 14 14 13 13 12 12 12 13 13 13 13 12 11 11 12 12 13 13 12 11 11 11 12 12 13 15 14 13 13 14 13 13 11 11 13 15 14 14 11 10 9 8 9 10 10 9 10 10 9 10 9 8 8 9 8 8 7 8 10 9 8 7 7 7 7 7 7 3 -1 0 4 6 7 7 7 8 9 10 9 10 12 14 15 15 13 12 10 9 8 8 9 12 14 11 8 6 5 6 9 9 8 7 7 8 7 4 2 3 5 7 10 11 12 12 13 14 14 14 14 13 11 9 8 7 7 7 7 7 7 8 9 11 12 12 12 13 13 12 13 13 13 12 11 12 13 13 14 14 12 12 12 12 10 9 9 8 7 7 7 7 8 nan
nan 14 15 15 14 14 13 13 13 13 14 15 14 15 15 14 12 13 13 14 14 13 11 9 8 9 14 19 19 18 15 12 12 13 13 12 10 10 12 14 14 13 11 10 9 9 9 9 9 9 10 10 10 9 8 7 7 7 6 7 8 9 10 10 9 8 7 7 7 7 7 6 0 -2 3 6 7 8 8 8 9 10 12 13 13 14 14 14 13 12 11 9 10 10 11 15 20 17 10 6 4 5 7 9 9 9 10 11 12 12 10 7 6 8 10 12 12 15 19 22 19 16 14 13 10 5 2 4 6 8 9 9 10 11 12 13 14 15 15 15 15 14 13 13 12 12 11 12 12 12 13 16 14 12 11 11 11 10 9 8 8 8 7 7 8 nan
nan 15 14 14 14 13 12 12 13 14 15 14 14 14 14 13 12 13 13 13 12 12 11 8 8 9 16 22 21 19 17 14 14 14 13 11 10 10 13 14 14 13 12 11 10 9 8 8 8 9 10 11 10 9 8 8 8 6 5 8 10 9 10 10 10 8 8 8 8 8 8 9 3 -1 2 6 8 9 8 8 9 10 13 14 15 15 14 13 12 11 11 11 11 11 13 17 20 17 11 7 5 6 8 10 12 13 13 13 14 14 13 10 9 10 11 13 16 20 22 21 15 13 13 12 10 6 4 7 9 11 11 12 14 15 15 14 14 14 14 14 14 13 13 13 12 12 13 13 13 13 12 11 10 10 10 10 10 10 9 8 8 8 7 7 7 nan
nan 15 13 13 14 13 11 10 11 13 13 13 12 11 11 10 10 11 12 12 10 10 11 11 11 12 15 17 18 19 19 18 18 16 14 11 11 12 15 14 14 13 12 12 11 11 8 7 8 8 9 10 11 10 8 9 8 6 7 10 11 8 8 10 12 10 8 8 8 8 9 10 6 1 1 5 8 9 9 9 11 12 13 14 15 15 13 12 12 11 10 10 10 10 11 16 18 14 10 7 7 9 12 14 17 17 16 15 14 14 13 11 11 12 15 21 26 23 16 10 9 12 13 13 11 10 10 12 13 13 13 15 15 15 14 13 13 12 12 12 12 13 13 13 12 12 13 12 12 11 10 10 9 9 10 10 10 10 10 8 8 8 7 7 8 nan
nan 14 13 13 14 13 11 10 11 11 12 11 10 10 8 8 8 10 12 11 10 9 11 12 13 13 12 13 15 17 18 19 19 19 16 14 14 15 15 14 13 13 13 13 13 12 10 9 8 8 8 10 12 11 10 10 9 7 8 11 12 7 4 8 11 11 10 9 9 9 9 10 8 4 1 4 9 10 10 11 13 14 14 15 14 13 11 10 10 10 9 9 8 8 7 12 16 13 10 9 10 13 17 19 20 18 16 14 12 11 10 10 10 13 20 26 26 17 7 2 4 10 13 14 13 13 13 13 13 13 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 11 11 11 11 10 10 8 7 8 8 8 nan
nan 14 13 13 13 12 12 11 12 11 11 9 9 8 7 8 8 10 11 11 10 10 12 13 13 12 10 11 13 14 15 15 16 17 18 16 16 16 15 13 13 13 13 13 12 11 11 11 10 9 8 9 10 10 9 10 11 10 9 10 13 9 3 3 5 9 13 12 12 10 10 11 10 7 2 3 9 11 12 14 15 16 15 14 13 12 10 9 9 9 8 8 7 6 6 9 13 13 13 13 16 20 22 22 21 17 14 12 10 8 8 9 10 15 18 17 13 7 3 1 3 7 10 12 13 13 12 12 13 13 13 12 11 10 10 10 11 11 11 11 10 10 11 10 10 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 9 9 8 7 6 nan
nan 14 14 13 13 13 13 12 11 11 11 10 9 9 8 8 8 8 9 11 10 10 13 14 12 10 8 8 10 11 11 10 11 13 15 15 14 13 12 11 11 11 11 11 11 10 10 10 11 11 9 8 8 8 8 9 11 11 10 9 12 12 9 5 2 6 13 15 14 11 10 11 12 11 5 3 7 12 16 18 17 16 14 13 12 11 10 9 10 10 9 9 7 6 7 10 15 18 20 22 24 26 24 21 18 15 12 9 7 4 6 10 13 16 12 8 5 3 2 3 5 7 9 11 12 12 11 12 12 12 11 10 10 10 10 10 10 11 11 10 10 10 9 10 10 10 10 10 10 10 11 10 10 10 9 9 8 7 8 9 10 10 8 8 7 nan
nan 13 13 12 12 13 13 12 11 11 10 9 9 9 9 8 9 9 10 10 10 11 12 12 11 9 7 7 8 8 8 8 8 9 11 11 11 9 8 8 9 8 7 7 9 10 9 9 10 11 10 8 7 7 7 8 9 10 10 10 11 14 16 15 8 5 10 17 17 14 12 12 13 14 8 5 7 11 15 16 15 14 13 13 12 11 10 10 9 10 10 8 8 8 13 19 24 27 27 28 27 25 21 17 14 12 9 7 2 1 5 11 15 13 8 5 3 3 3 5 7 10 10 11 12 12 12 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 11 11 11 10 9 9 nan
nan 11 10 10 11 12 11 10 10 9 9 8 8 7 8 8 10 11 11 12 12 11 10 10 9 8 8 8 8 8 7 6 7 8 10 11 9 6 5 6 8 7 6 6 7 9 9 9 9 9 8 7 7 7 8 8 10 11 11 11 11 14 19 22 18 9 11 18 20 15 12 13 14 14 11 8 8 10 12 12 13 13 12 11 11 10 9 8 7 6 6 6 9 16 24 29 32 31 28 24 22 18 15 12 11 10 8 6 1 0 5 11 13 9 7 6 6 3 3 5 8 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 10 10 10 10 10 9 8 7 8 10 10 11 11 11 13 14 14 12 10 10 10 10 nan
nan 8 8 9 10 11 10 8 7 7 7 6 6 6 7 9 12 12 12 14 14 13 11 10 9 8 8 8 9 9 7 7 8 9 11 11 8 5 5 7 8 8 7 7 8 9 9 9 8 8 7 7 7 8 9 11 12 13 13 13 12 13 15 19 23 22 19 21 19 14 13 13 13 14 12 9 8 8 9 10 11 12 11 9 8 7 7 6 7 8 9 13 19 26 29 29 26 22 20 17 15 12 11 9 9 8 8 6 3 3 6 10 11 9 8 7 6 2 1 4 8 11 12 11 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 10 12 12 12 12 13 13 13 12 11 10 10 11 11 nan
nan 7 8 8 9 9 8 7 6 6 6 6 7 7 8 11 12 12 13 15 14 14 14 13 11 9 8 7 6 6 5 6 8 10 11 10 8 7 7 8 8 8 9 10 11 10 9 8 7 8 8 7 8 9 11 12 13 14 14 13 13 12 13 12 18 27 26 22 17 14 12 12 12 12 12 10 8 6 4 6 9 10 10 7 5 4 5 9 15 19 23 26 29 27 22 19 16 14 13 12 10 9 7 7 7 7 8 9 9 6 5 7 8 8 7 6 2 -1 0 4 8 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 6 7 8 9 11 11 12 12 12 12 12 13 12 11 12 14 15 15 15 nan
nan 7 8 8 7 7 6 6 5 5 6 7 8 9 10 12 12 13 14 15 14 13 14 12 11 9 7 8 8 7 5 5 7 10 10 8 8 9 10 10 10 10 10 11 11 10 9 7 7 8 9 9 9 10 12 13 13 13 13 13 12 12 12 12 14 16 17 15 14 13 10 8 11 13 13 13 11 8 6 8 11 12 10 9 7 8 10 18 24 25 25 25 22 18 14 11 10 10 9 9 7 5 4 4 5 5 7 14 17 13 7 5 5 5 4 2 -2 -2 2 6 9 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 10 9 8 7 8 10 11 11 11 11 12 12 12 12 13 13 13 13 15 17 18 18 17 nan
nan 7 8 8 7 6 6 6 6 6 8 9 9 9 10 11 12 14 15 15 14 13 11 10 9 8 8 9 10 9 8 8 10 11 10 9 10 11 11 12 11 11 11 11 10 9 8 7 8 8 9 9 10 11 12 12 12 13 13 12 11 11 12 13 14 12 10 9 8 9 8 6 9 12 14 14 13 13 15 16 16 15 13 13 12 16 20 21 21 19 17 16 13 11 8 7 6 4 3 2 2 1 2 3 4 4 7 17 24 21 12 6 4 3 3 -0 -1 2 6 9 10 10 10 11 11 11 11 11 11 10 10 10 9 10 10 10 9 9 9 10 10 10 9 8 8 10 12 12 12 12 12 12 11 11 11 11 12 12 13 13 15 16 15 14 14 nan
nan 9 10 9 8 8 8 9 8 8 9 10 10 9 9 10 11 13 13 14 13 12 11 11 10 9 10 10 10 10 9 10 11 12 12 11 11 12 11 11 11 11 10 10 9 8 8 8 9 9 9 9 9 10 11 11 11 12 12 11 11 11 11 13 14 13 12 10 8 8 9 9 7 6 5 5 5 9 13 14 13 12 12 14 14 15 16 12 9 8 11 11 8 4 1 1 3 3 3 4 2 0 1 3 5 5 10 18 22 18 9 5 4 3 2 1 3 6 8 9 10 10 10 11 10 10 10 10 9 9 10 9 10 10 10 10 10 10 9 9 10 9 9 9 11 13 14 12 12 12 12 12 11 11 11 10 10 11 11 11 12 13 12 11 11 nan
nan 12 12 11 10 9 9 9 10 11 10 10 10 9 9 9 10 11 12 12 12 12 11 11 11 11 11 10 9 9 9 10 11 12 12 11 11 11 11 10 10 10 10 10 9 8 8 9 9 9 10 9 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 10 9 6 2 -0 -3 -1 1 2 2 2 6 8 7 4 1 0 -0 2 8 8 4 3 5 8 10 11 10 9 5 2 1 3 6 9 12 14 13 8 4 4 6 5 3 4 7 8 8 8 8 9 10 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 11 12 13 12 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 nan
nan 12 11 11 10 9 8 8 9 9 9 9 9 10 12 14 12 9 9 10 11 10 10 10 10 10 10 10 10 11 10 11 11 11 11 10 10 10 10 10 9 9 10 9 9 9 9 9 8 9 10 10 10 10 10 9 10 10 10 10 10 11 12 12 11 10 11 11 11 11 11 12 12 11 9 7 3 -0 -3 -4 -3 0 4 4 3 1 -1 -0 2 5 10 8 5 7 12 17 15 11 9 6 4 4 4 6 10 13 13 10 6 4 5 6 7 7 7 8 9 9 9 8 8 7 6 5 4 4 6 8 9 9 9 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 10 11 11 11 11 10 10 10 9 9 11 12 nan
nan 12 11 10 9 8 8 8 7 7 8 7 8 10 12 12 7 5 6 9 10 10 9 9 8 8 9 10 11 12 12 11 11 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 9 9 10 10 11 11 12 13 13 12 12 11 11 11 11 11 12 12 13 12 10 10 7 4 3 4 5 6 5 5 5 6 7 8 9 9 9 7 6 7 7 4 3 3 4 6 6 7 8 10 12 11 9 7 7 7 7 7 8 8 9 10 10 9 8 7 7 6 7 8 7 7 9 10 10 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 10 10 10 12 11 11 11 11 10 10 10 11 12 12 12 nan
nan 12 11 10 8 8 8 8 8 8 8 7 7 8 8 4 2 4 7 10 11 10 8 8 8 10 10 11 11 11 11 10 9 10 10 10 10 9 9 9 9 8 9 9 9 9 9 8 9 9 8 8 8 9 10 10 10 10 11 12 13 14 15 16 15 15 14 15 15 15 14 13 13 13 12 11 10 10 10 9 9 9 10 11 12 13 12 11 10 11 11 9 7 3 2 1 1 2 4 6 7 8 8 9 9 9 10 10 9 9 9 8 7 7 7 7 8 8 9 9 10 12 13 14 14 14 12 10 10 11 11 11 10 10 9 9 10 9 9 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 11 11 11 10 11 11 11 12 12 12 11 nan
nan 10 9 9 8 8 8 8 8 8 8 8 9 9 9 6 6 7 9 12 11 8 6 5 8 11 13 15 14 12 11 10 9 9 11 12 9 7 9 12 14 13 12 9 8 9 9 9 9 9 8 8 9 11 11 12 12 12 13 14 14 16 18 19 22 25 26 25 25 23 19 15 13 13 12 12 12 12 12 11 10 11 14 18 20 17 13 11 11 11 11 10 7 5 4 5 6 6 7 8 8 8 9 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 9 11 12 13 13 13 13 13 12 11 11 11 10 10 10 10 9 9 9 9 9 10 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 13 13 12 11 nan
nan 8 8 8 8 7 7 7 7 8 8 9 11 11 11 10 9 10 11 11 9 6 4 5 5 6 10 13 16 18 19 18 17 15 13 10 6 2 7 18 22 25 24 20 15 11 9 9 11 12 13 12 12 14 17 18 19 18 16 16 17 18 18 19 23 28 30 28 25 23 20 20 20 20 19 18 18 19 20 17 14 16 19 24 24 15 9 8 10 11 10 9 7 6 5 6 7 7 7 8 8 7 7 8 9 10 10 10 9 8 8 9 9 10 11 10 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 12 12 nan
nan 8 8 8 7 6 6 6 7 8 9 9 10 11 11 10 10 10 10 9 7 5 4 5 4 3 3 5 8 16 26 31 32 33 27 14 2 -4 4 18 23 27 28 29 28 24 16 11 14 18 21 22 19 17 19 22 25 26 24 21 21 20 18 16 17 18 18 18 17 17 17 19 22 26 28 25 21 22 25 27 28 29 29 29 23 15 11 8 8 9 9 9 8 6 6 6 7 7 6 7 7 6 6 7 9 10 11 11 10 8 8 9 10 11 13 13 11 10 10 10 9 9 10 10 10 11 11 11 11 10 9 10 10 9 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 10 11 11 12 12 12 12 12 11 11 11 11 nan
nan 9 10 9 7 5 5 6 8 9 9 9 10 10 9 9 10 9 9 8 7 7 7 6 4 1 -2 -3 -4 1 13 26 33 41 44 32 16 3 3 12 16 18 20 22 27 27 18 11 13 18 24 27 21 15 15 17 19 26 31 28 26 21 17 15 15 14 13 12 12 12 12 13 16 18 21 20 17 17 19 23 28 31 32 29 19 11 11 11 9 9 9 9 8 7 6 6 7 7 6 7 7 6 6 7 8 10 11 12 11 10 10 10 10 10 11 13 13 11 10 9 8 8 8 9 10 10 11 11 11 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 12 11 10 11 10 nan
nan 10 10 8 7 6 6 8 9 11 11 10 9 9 9 9 10 10 10 9 8 8 8 7 5 2 -0 -3 -7 -11 -8 3 13 24 33 33 24 13 9 11 12 13 13 14 15 16 12 10 10 14 20 25 22 15 9 9 7 15 29 31 26 20 15 14 14 13 13 11 11 10 9 9 9 10 10 10 11 11 10 11 13 15 18 23 20 14 10 8 9 9 10 9 8 7 7 7 7 7 7 7 7 7 8 9 10 11 12 12 12 12 11 11 11 11 11 11 11 10 9 8 8 9 9 8 9 10 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 11 12 12 12 11 11 11 10 11 11 nan
nan 10 9 7 7 8 9 11 12 12 13 11 9 10 10 11 11 10 10 9 9 8 8 7 6 5 3 1 -2 -6 -11 -9 -5 2 9 14 16 14 13 13 14 14 13 12 11 10 10 11 12 14 18 24 28 23 13 7 2 3 13 18 19 17 15 13 12 11 11 11 10 9 8 7 8 8 8 8 7 7 6 4 4 5 9 19 26 23 14 8 8 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 9 10 10 10 10 10 10 10 9 10 10 9 9 10 10 10 11 11 11 11 11 11 10 11 11 11 10 10 9 9 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 nan
nan 10 9 9 10 11 13 14 11 9 11 12 10 11 12 12 11 9 8 8 9 10 9 7 6 6 5 4 3 1 -1 -5 -7 -7 -2 4 9 14 14 14 14 14 14 13 12 12 11 12 12 14 16 22 30 31 23 12 3 1 1 4 10 14 15 13 11 9 9 9 9 9 8 8 8 8 8 8 7 6 5 3 2 3 7 17 27 30 20 11 9 8 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 10 9 9 10 10 11 11 11 10 9 8 7 8 9 10 11 11 11 11 10 10 9 9 9 9 9 10 11 10 11 11 11 11 11 11 11 11 11 11 10 10 8 8 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 nan
nan 11 11 11 12 13 15 13 10 8 9 11 11 11 10 9 9 9 9 10 11 11 10 8 7 8 7 6 5 3 2 0 -2 -4 -3 1 8 12 12 12 12 12 13 14 14 14 13 12 13 13 13 18 24 27 27 21 12 7 6 7 8 10 14 14 11 8 8 9 9 9 9 9 9 9 8 8 8 7 5 4 4 4 5 10 19 26 22 12 10 9 9 9 9 9 9 10 10 11 12 11 11 11 11 11 11 10 9 9 9 10 11 11 12 11 9 8 7 7 8 9 10 11 11 10 10 10 10 10 10 10 9 10 11 10 11 10 11 11 11 11 11 11 11 11 10 9 9 9 11 13 13 11 10 10 11 10 10 11 11 11 11 11 11 10 10 nan
nan 11 11 11 11 12 11 9 9 9 9 9 9 10 10 9 9 10 11 11 12 12 10 9 9 9 8 6 5 4 3 2 1 -1 -2 -0 5 8 8 7 7 8 9 11 12 13 14 14 15 15 14 15 17 20 23 25 24 23 21 20 11 7 9 11 9 8 8 8 9 10 10 10 9 9 8 7 5 5 5 5 7 8 9 8 9 13 14 10 9 9 9 10 10 11 10 10 10 10 10 10 10 10 11 11 10 10 9 9 10 11 11 12 13 11 10 9 8 8 8 9 10 11 10 9 9 9 9 10 10 9 9 9 9 10 11 11 10 11 12 12 12 11 11 10 10 10 10 11 12 12 12 10 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 10 10 9 8 8 8 8 8 8 9 10 10 11 11 11 11 12 11 10 9 9 9 9 9 8 7 6 5 3 3 2 1 1 1 1 1 0 1 3 5 6 7 8 11 14 16 17 18 18 18 19 21 24 25 26 25 20 11 6 7 8 8 8 8 9 9 9 9 10 10 10 9 7 3 -2 -1 3 7 12 14 10 8 7 7 7 8 8 10 10 10 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 12 14 13 12 11 10 9 9 9 9 10 11 10 9 9 10 10 10 10 10 9 9 10 11 11 11 10 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 11 nan
nan 10 9 9 10 10 9 9 9 9 8 8 9 10 12 12 11 11 11 11 10 9 8 9 9 10 10 11 10 8 6 5 4 4 4 4 2 0 -1 -4 -6 -5 -2 -1 -2 -2 3 9 14 17 18 17 17 19 21 21 19 17 15 11 8 8 8 9 8 7 8 9 10 10 10 10 10 10 9 7 4 -2 -5 -1 3 11 15 11 8 7 7 6 6 8 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 12 13 14 13 12 11 10 10 9 9 9 10 9 9 10 10 11 11 11 10 10 11 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 10 10 11 11 10 11 11 11 11 11 11 11 11 nan
nan 10 9 9 12 13 11 9 9 8 8 8 8 9 11 11 10 10 9 9 9 9 10 9 10 11 11 10 10 9 8 7 6 5 5 5 5 4 2 -1 -4 -6 -7 -7 -10 -10 -7 -1 7 17 22 17 9 8 15 18 17 13 10 9 9 10 11 10 8 7 8 9 9 9 10 10 9 9 7 7 6 3 -1 -2 2 9 14 12 8 6 7 7 7 9 10 11 11 11 11 11 11 12 12 13 14 13 13 12 11 10 10 10 11 12 13 13 12 11 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 12 13 13 13 12 12 12 11 11 11 10 10 11 11 11 12 11 11 11 11 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 nan
nan 10 8 9 12 15 15 12 10 9 9 9 8 9 9 9 9 8 8 8 8 9 10 10 11 10 10 10 10 10 10 10 9 8 7 6 6 7 6 5 4 2 -0 -1 -4 -8 -12 -11 -4 13 31 29 15 4 6 12 14 14 12 12 12 12 11 9 8 8 8 9 8 8 8 8 8 7 6 6 5 3 3 4 7 11 13 12 9 7 8 9 10 11 12 12 12 13 12 12 12 13 13 14 15 16 14 13 12 12 11 12 12 12 12 12 11 11 10 9 8 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 13 13 12 11 11 11 10 11 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 nan
nan 9 7 7 9 12 14 12 10 10 10 10 9 9 9 8 8 7 8 9 10 10 10 11 10 9 10 10 10 11 11 10 11 10 9 8 9 8 8 8 7 7 7 5 4 2 -3 -8 -9 6 25 29 24 15 9 10 13 14 14 14 14 13 11 9 8 8 8 8 8 7 8 9 7 4 3 3 3 3 4 6 10 12 12 10 9 9 9 10 11 11 12 12 12 12 12 12 12 12 13 14 14 15 15 14 14 13 13 12 12 12 12 11 10 10 10 10 10 10 9 10 10 11 11 11 11 10 11 11 11 12 12 13 13 12 12 11 10 11 11 12 12 12 11 11 11 11 11 11 10 9 9 10 10 10 11 11 11 11 11 10 10 11 11 11 11 nan
nan 9 8 8 8 8 9 9 9 9 10 10 9 9 9 8 8 7 8 10 11 11 11 10 11 10 10 10 11 11 11 11 11 11 10 11 11 9 9 9 9 9 8 6 5 5 5 2 -2 1 10 13 14 13 13 14 14 14 15 14 13 12 10 9 9 8 8 7 8 9 11 13 12 7 3 1 2 3 3 5 7 8 8 8 9 9 9 10 10 11 11 11 12 11 11 11 11 11 12 13 13 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 11 10 10 11 11 12 11 12 12 11 11 11 11 11 9 10 10 10 11 11 11 11 11 10 10 10 10 11 12 12 11 nan
nan 7 7 7 8 7 7 7 7 7 8 9 9 9 10 10 10 9 10 12 13 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 9 8 7 5 5 7 6 4 3 4 3 1 0 5 12 14 15 14 13 12 11 9 8 8 8 7 7 7 7 11 17 18 13 4 -1 2 4 5 6 7 8 8 9 10 10 10 10 10 10 10 11 11 10 10 10 10 11 12 12 12 12 11 11 11 11 10 10 11 11 11 10 9 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 13 13 12 11 11 11 11 12 12 11 11 11 12 11 10 11 11 10 9 10 10 10 11 10 10 11 10 10 10 9 10 12 12 11 11 nan
nan 6 6 7 7 7 9 9 8 7 8 9 10 11 13 12 11 12 11 12 13 13 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 9 9 8 6 6 5 3 3 3 3 1 -2 0 5 5 7 10 11 11 10 9 7 6 6 6 6 5 6 9 16 19 14 2 -2 2 6 7 8 10 11 12 12 11 11 11 10 10 10 9 10 11 11 11 11 11 10 11 11 11 10 11 10 10 10 11 10 10 10 10 11 11 10 10 11 11 11 12 12 12 12 12 12 11 10 10 10 11 12 12 12 12 11 11 12 12 12 12 11 11 11 11 10 11 10 10 10 10 10 10 10 10 10 9 9 10 9 9 8 9 10 11 10 11 nan
nan 6 8 8 9 10 11 12 11 10 10 11 12 12 12 12 11 12 13 13 13 12 11 10 10 11 11 12 11 11 11 11 11 11 11 11 10 10 11 12 12 11 10 10 9 8 6 5 3 2 2 2 3 3 3 3 0 -1 2 6 9 10 9 5 3 3 4 6 7 7 10 15 17 10 2 2 6 8 9 8 10 12 13 13 12 11 10 9 9 9 9 10 10 11 11 11 11 10 9 10 10 10 10 10 10 11 11 11 10 10 11 12 12 11 11 11 11 11 11 11 11 12 12 10 10 10 11 11 11 12 12 12 12 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 11 9 8 9 10 10 10 12 nan
nan 8 10 10 12 13 14 13 11 10 11 12 11 11 11 10 11 11 11 11 10 10 10 11 10 10 12 11 10 10 10 11 11 11 11 10 10 11 12 13 12 11 10 10 9 8 7 6 5 5 4 4 4 5 7 8 8 5 1 1 4 7 6 2 -1 -0 5 9 11 12 13 14 13 8 5 7 9 10 10 10 10 11 13 12 11 9 8 8 8 8 9 10 10 10 11 11 10 10 10 9 9 10 9 9 10 10 10 10 10 11 11 11 12 12 12 12 11 10 10 10 9 10 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 10 11 11 11 10 11 11 12 12 14 16 nan
nan 13 15 16 18 19 19 16 13 11 10 10 10 10 11 11 11 10 9 8 8 8 10 11 10 10 11 10 10 10 11 11 11 10 10 10 10 11 13 13 12 10 10 10 10 9 8 7 7 7 7 8 8 8 10 11 13 13 11 9 5 3 3 1 1 2 7 11 12 12 11 10 9 9 10 9 10 10 11 11 11 12 11 10 9 9 8 8 8 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 9 9 10 10 10 11 12 12 13 13 13 12 11 9 10 9 9 12 14 14 14 14 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 9 10 10 11 11 11 12 14 13 12 14 17 nan
nan 14 18 24 28 28 27 26 23 18 14 11 10 11 12 12 11 9 9 9 9 9 10 12 11 11 11 11 11 11 11 11 11 10 9 10 11 12 12 12 11 10 10 10 10 10 9 9 8 9 10 11 10 10 10 10 11 11 10 9 6 5 4 3 4 7 10 11 11 10 8 8 8 9 9 9 10 11 11 11 12 11 10 9 9 9 9 9 9 9 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 12 13 13 13 12 10 10 10 10 10 11 12 13 13 13 13 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 9 9 9 10 11 11 11 11 12 11 11 11 12 13 14 nan
nan 8 9 14 20 22 26 29 27 23 18 14 13 12 12 13 12 11 10 11 10 10 10 11 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 11 12 13 12 11 9 8 9 8 5 4 4 5 5 6 7 8 10 10 10 9 9 8 9 9 9 9 9 9 11 12 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 12 12 11 11 10 9 9 8 8 8 9 10 10 11 11 12 13 13 13 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 11 12 12 11 11 11 11 11 12 12 10 10 11 nan
nan 5 3 2 4 4 10 16 16 16 15 14 12 12 13 13 12 12 11 11 11 10 10 11 11 12 12 11 10 11 11 12 11 11 12 11 11 11 11 10 10 9 10 10 10 10 10 9 10 12 13 14 13 11 9 8 7 6 5 4 4 6 7 8 8 8 9 10 10 9 9 8 9 9 9 8 8 8 9 10 10 11 10 11 10 10 9 10 9 10 10 11 11 11 12 12 12 12 12 11 11 10 9 9 9 9 10 11 12 13 13 13 13 11 9 8 9 10 12 12 12 12 11 12 12 11 11 11 11 12 12 11 11 11 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 10 11 11 12 12 11 10 10 11 12 12 11 10 10 10 nan
nan 5 5 3 3 1 2 6 7 8 10 11 11 12 13 12 10 10 11 11 11 11 11 10 10 11 12 12 11 11 11 12 12 13 13 12 12 11 12 11 11 10 10 10 10 10 10 10 11 12 14 14 13 12 10 9 8 6 5 5 6 7 8 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 10 10 10 10 11 12 12 12 12 12 12 12 13 12 11 10 10 10 10 11 11 12 13 14 14 12 10 8 7 7 10 11 12 12 12 12 12 11 12 12 11 11 11 11 11 10 10 11 10 10 10 11 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 nan
nan 7 7 7 7 5 4 6 7 9 9 9 10 11 11 10 9 9 10 11 11 11 10 10 10 10 10 10 10 10 11 12 12 13 13 12 12 11 12 12 11 11 11 10 11 11 11 12 13 13 13 13 14 14 13 11 8 6 5 4 5 8 8 8 9 9 9 9 10 9 9 9 9 8 9 9 9 9 10 10 9 9 9 9 10 9 9 10 10 11 12 12 12 12 12 12 13 13 13 12 11 10 10 10 11 12 13 14 14 13 11 9 7 6 7 9 10 11 12 12 11 12 11 11 11 12 12 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 10 10 9 8 10 12 12 11 11 12 13 13 13 11 11 12 12 10 11 11 nan
nan 8 8 8 8 7 6 7 8 11 11 9 10 10 10 9 9 10 10 10 11 10 10 10 11 11 10 10 10 11 10 11 13 12 12 12 11 11 11 11 10 10 10 10 11 12 13 13 14 14 14 15 18 18 16 12 7 3 2 2 4 6 8 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 9 10 10 9 10 9 10 10 11 12 12 12 12 12 12 13 14 13 13 13 12 12 12 12 12 12 13 13 12 10 8 7 7 8 10 11 12 12 12 12 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 8 10 14 13 11 11 12 11 11 12 11 11 12 11 10 10 11 nan
nan 9 9 9 8 8 8 7 7 11 11 10 10 10 10 10 10 10 11 10 9 10 11 10 10 11 10 10 11 11 11 11 11 12 12 12 12 11 10 10 10 9 10 10 10 12 13 13 13 14 14 16 19 20 16 10 6 4 1 0 3 6 8 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 12 12 12 13 15 15 15 15 14 13 13 13 12 12 11 11 10 9 8 7 8 8 10 12 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 9 9 9 10 10 10 10 11 10 10 10 11 11 11 13 12 11 11 11 11 11 10 10 11 11 10 10 10 12 nan
nan 9 9 8 9 8 9 8 8 9 10 11 11 11 10 10 10 10 11 10 9 10 9 9 10 11 11 11 12 12 12 11 11 11 11 12 12 11 11 11 10 9 9 10 10 10 10 11 11 12 12 13 14 15 13 9 8 7 5 3 4 7 9 10 9 9 9 9 11 11 10 11 11 10 11 10 10 10 10 10 10 11 10 10 10 10 10 11 12 12 13 12 12 12 13 15 16 17 17 17 16 14 14 13 12 10 9 8 8 8 9 9 11 12 13 13 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 10 10 10 11 12 11 11 11 10 10 11 11 11 11 12 11 10 11 12 12 nan
nan 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 12 12 11 12 12 11 10 11 12 12 11 12 12 11 10 10 10 10 10 9 9 9 9 10 11 13 12 11 10 9 10 10 9 7 5 7 9 9 9 8 8 10 11 11 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 12 12 13 14 16 19 21 20 19 17 15 14 12 10 9 8 8 9 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 10 10 10 10 9 9 9 10 11 11 11 12 12 12 11 10 10 11 11 11 11 10 10 10 11 11 12 13 11 11 12 13 13 12 nan
nan 10 11 10 10 10 11 10 10 10 11 10 10 11 11 11 10 9 10 10 9 9 9 9 10 11 13 13 11 10 11 11 10 11 11 11 12 12 12 12 11 10 10 10 10 10 8 7 8 9 11 13 12 10 8 6 8 11 10 8 7 8 8 8 8 8 9 9 11 11 12 11 11 10 10 9 9 9 10 11 11 12 12 12 12 11 11 10 10 10 10 11 13 13 14 14 16 17 20 21 19 17 14 13 11 10 9 9 10 11 12 12 12 12 11 11 11 11 12 12 11 11 11 10 10 10 11 11 11 10 11 11 11 10 9 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 12 13 12 12 12 12 12 12 nan
nan 11 11 10 10 11 11 11 11 11 11 12 11 10 11 11 10 10 10 10 10 11 13 15 15 14 14 14 13 12 11 11 11 11 11 11 12 12 13 13 12 11 10 10 10 10 9 9 9 10 11 12 12 11 6 3 5 9 9 8 8 8 8 8 8 9 10 10 11 12 12 11 11 11 10 9 9 9 10 11 11 12 12 12 12 11 10 10 10 10 11 13 13 14 15 15 14 14 15 15 14 13 13 12 10 9 8 10 11 12 13 13 12 11 11 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 11 10 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 nan
nan 11 11 10 10 10 12 12 12 12 13 13 12 11 12 11 11 11 11 12 12 12 14 15 15 15 16 16 14 13 12 11 11 11 11 12 13 13 12 12 12 11 10 9 10 11 10 11 11 11 12 12 12 12 8 6 6 8 8 8 8 8 9 9 8 9 10 11 11 12 12 12 11 10 10 9 10 9 10 11 11 11 12 12 12 11 9 9 10 10 11 11 13 14 15 15 13 11 10 10 10 10 10 10 10 9 9 9 11 12 13 12 12 11 11 10 10 11 12 12 11 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 11 11 10 10 11 12 12 11 11 11 10 10 11 11 11 10 10 10 10 10 11 10 9 10 11 12 12 12 12 nan
nan 11 10 9 10 10 11 12 13 13 13 13 13 12 11 12 12 13 14 14 13 12 11 9 9 10 12 13 13 13 12 10 11 11 11 12 13 13 12 11 10 10 9 10 10 11 11 11 12 11 11 11 12 12 11 10 10 9 9 8 8 8 8 9 9 9 10 12 12 12 12 13 12 10 10 10 10 9 10 11 11 11 12 13 12 11 10 10 10 10 10 10 11 13 15 15 14 11 8 8 7 8 8 8 9 9 9 9 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 11 12 12 11 11 10 10 11 11 12 11 11 10 9 9 10 11 10 8 9 12 14 13 12 12 nan
nan 11 10 9 9 9 9 11 12 12 12 12 12 11 11 11 12 12 13 12 11 10 10 9 9 10 11 10 11 10 10 11 11 11 11 11 12 13 12 11 11 10 9 10 11 11 12 11 11 11 10 10 11 11 11 10 11 10 9 9 8 8 8 9 9 9 10 11 11 12 13 12 12 11 10 9 9 9 10 11 11 11 11 12 11 11 11 11 10 10 9 10 11 13 15 15 15 12 9 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 10 11 11 10 10 11 10 11 10 11 10 10 10 11 11 11 11 11 10 9 9 10 10 10 9 12 15 14 12 11 11 nan
nan 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 8 8 8 8 9 10 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 9 9 10 10 10 10 11 10 10 9 8 9 8 9 9 9 9 9 10 11 12 12 12 12 11 10 9 8 9 10 10 10 11 11 11 11 12 11 11 10 9 9 10 11 13 15 15 15 13 11 8 7 6 6 7 7 9 10 11 11 11 10 10 10 10 11 11 12 12 12 12 11 11 12 12 12 12 12 11 10 11 11 10 11 11 10 10 10 10 10 10 11 11 10 10 9 9 10 10 11 10 10 11 10 10 10 11 11 11 11 13 13 12 11 11 10 nan
nan 13 12 10 10 10 10 11 10 10 9 8 8 9 11 12 11 11 10 9 8 8 8 9 10 12 11 10 10 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 12 11 10 9 8 8 9 9 10 10 10 10 9 9 8 9 8 9 9 9 9 10 10 11 11 11 12 11 11 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 9 9 10 10 13 16 16 14 12 10 8 6 6 7 7 8 9 11 12 12 11 11 10 11 11 11 12 13 12 12 11 11 11 11 12 12 12 12 11 11 10 11 11 10 10 10 11 11 11 10 11 11 11 10 9 8 10 11 11 10 10 10 10 10 10 10 11 11 10 10 10 11 11 12 12 10 nan
nan 18 16 15 14 14 13 13 13 13 11 10 10 11 12 12 12 11 10 9 10 10 12 12 12 11 11 10 9 10 10 10 10 9 9 9 10 11 12 13 13 12 11 11 12 10 9 9 10 10 9 10 10 10 9 9 10 9 9 9 8 8 9 9 9 9 10 10 11 12 12 13 12 11 10 9 9 9 10 10 10 10 11 11 12 11 10 10 10 10 10 10 10 13 15 16 14 11 9 8 6 7 9 10 10 11 11 12 12 11 11 11 11 11 12 12 13 13 12 11 11 11 12 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 11 12 11 10 10 10 10 10 11 11 11 11 11 9 8 10 12 13 12 11 nan
nan 18 17 16 15 16 16 16 15 15 14 13 12 12 13 12 11 11 12 12 12 13 14 12 11 11 10 10 9 9 8 8 8 8 8 7 8 9 11 12 11 11 9 9 10 10 9 10 10 11 11 10 11 10 9 9 9 9 9 9 9 9 8 8 8 9 10 11 12 13 13 13 13 12 10 9 9 9 10 10 11 11 11 12 11 11 10 11 10 10 11 11 11 13 13 14 13 11 9 7 7 8 10 12 12 12 12 11 10 11 10 10 11 11 12 12 12 13 14 14 14 14 15 15 14 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 11 11 10 10 11 12 11 11 11 10 10 11 12 13 13 13 nan
nan 17 16 15 15 14 15 15 15 15 14 13 12 12 12 11 11 11 12 13 13 13 12 11 9 9 10 9 9 9 8 8 7 8 7 7 7 7 7 6 7 7 7 8 9 9 10 10 11 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 8 8 9 10 12 13 13 12 11 11 10 9 9 9 10 10 10 11 11 11 11 10 10 9 10 10 10 11 11 12 12 12 12 12 10 8 8 9 10 12 13 13 12 10 9 10 10 10 11 11 12 13 13 15 17 18 18 17 21 21 16 13 11 12 12 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 12 12 11 12 13 13 nan
nan 17 17 16 15 14 13 12 12 13 12 11 11 12 12 11 10 9 9 10 11 11 10 9 8 7 8 8 9 9 8 8 8 8 8 8 8 8 7 6 6 5 6 8 8 9 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 10 10 9 8 8 9 10 12 12 11 10 9 10 10 10 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 10 11 11 11 12 12 11 10 10 10 11 12 13 13 11 10 9 9 10 10 11 11 12 14 17 21 25 25 22 18 20 24 19 14 12 11 11 11 12 12 11 11 11 11 11 11 10 11 10 9 9 8 8 9 9 10 10 10 10 10 11 12 11 11 11 11 12 12 12 11 11 12 12 nan
nan 17 18 17 16 14 13 13 12 11 11 10 10 10 10 9 9 8 8 8 9 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 8 8 7 8 8 9 9 9 10 10 9 9 10 11 12 12 12 13 13 12 12 12 11 11 10 9 9 10 10 11 11 11 10 10 10 10 11 11 10 10 10 9 10 11 11 11 11 10 9 9 10 10 10 10 9 10 11 12 12 13 13 13 12 12 12 12 13 12 11 10 9 9 10 10 10 10 11 14 19 23 25 24 20 15 16 21 21 19 15 12 11 12 13 13 12 11 11 11 11 10 9 9 9 8 8 8 9 10 10 10 10 10 11 11 12 11 11 11 10 11 11 11 11 12 11 11 11 nan
nan 14 16 17 16 15 14 13 12 11 11 10 10 10 9 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 10 10 9 10 10 10 10 10 10 9 9 10 10 11 12 12 13 13 12 12 12 12 11 10 10 10 10 10 10 10 10 9 10 10 11 12 12 12 12 11 10 10 11 11 10 10 10 9 9 10 11 11 10 10 10 10 11 12 13 14 14 14 13 13 13 13 13 11 10 9 9 10 10 11 11 14 16 17 15 13 13 11 10 11 14 19 23 20 14 11 13 14 14 13 11 10 11 11 11 10 10 9 9 9 9 10 11 11 11 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 11 12 13 13 14 12 11 10 9 8 9 10 10 9 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 12 12 11 11 10 10 9 9 10 10 9 9 10 10 10 10 11 11 12 12 13 13 12 11 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 12 11 11 11 11 11 10 10 9 10 11 11 11 11 10 10 10 11 12 12 12 13 13 13 13 13 13 13 12 11 10 10 11 12 14 17 20 20 18 13 8 7 7 6 8 9 13 18 19 14 11 13 14 14 12 11 11 10 11 11 10 9 9 9 9 10 11 11 11 10 10 10 11 11 11 11 10 10 11 12 12 12 12 11 10 10 11 nan
nan 10 10 10 10 10 9 8 7 6 7 8 9 9 8 7 7 8 9 9 10 9 9 10 9 10 10 11 11 11 12 12 11 11 12 12 11 11 11 11 11 11 11 11 10 9 10 9 9 10 10 10 10 10 11 12 12 12 13 14 12 10 10 10 10 9 10 10 9 9 9 10 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 13 12 12 11 11 11 12 15 20 25 26 23 18 14 11 8 8 7 7 7 8 9 10 10 9 10 11 12 11 11 10 10 10 10 9 9 9 9 10 11 11 11 10 9 10 11 11 12 12 11 11 11 10 11 12 12 12 11 10 10 11 nan
nan 10 11 10 9 9 7 6 6 6 7 8 8 8 7 7 8 9 10 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 11 10 11 10 9 9 11 12 11 10 10 10 9 10 11 11 11 11 11 12 12 13 14 13 11 10 9 8 9 9 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 10 10 10 9 9 10 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 12 11 11 12 13 14 17 22 26 28 26 21 14 11 9 10 10 9 9 6 4 4 4 6 7 7 8 9 11 11 11 11 10 10 9 9 10 10 11 10 10 10 10 10 10 11 12 12 12 11 10 9 9 10 11 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 1 1 1 0 0 0 0 0 0 1 2 3 4 8 13 16 16 14 9 6 11 22 34 41 41 42 43 44 46 46 41 31 22 19 16 13 10 6 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 3 4 5 6 8 9 13 19 23 20 14 12 18 28 35 35 32 28 19 11 6 2 0 0 0 0 1 6 13 27 40 53 65 72 76 74 69 62 52 39 29 29 39 55 70 77 71 62 55 50 49 52 61 67 66 62 53 43 34 33 36 40 42 39 45 47 46 44 44 46 50 51 53 56 60 65 67 65 63 64 66 70 74 76 75 70 64
0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 10 9 7 3 5 14 26 35 33 34 37 39 41 41 34 22 17 16 16 15 12 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 12 15 16 19 22 19 13 9 11 16 20 21 18 15 13 12 9 4 2 0 0 0 1 6 11 22 31 40 47 52 58 60 58 52 44 34 28 30 41 58 74 85 81 74 64 55 47 39 46 51 52 51 48 41 34 30 32 36 38 34 35 41 44 45 44 46 49 51 54 58 62 65 64 60 58 59 64 71 75 76 74 70 64
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 8 8 4 4 11 22 30 29 28 29 30 31 29 23 16 13 14 15 15 13 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 23 26 26 25 24 19 16 13 10 7 5 3 3 4 7 14 14 9 7 5 2 3 13 19 26 31 34 38 43 48 51 49 43 35 27 24 26 32 42 53 63 65 64 59 49 32 17 31 40 41 40 39 36 32 28 27 30 33 28 28 32 39 44 47 50 50 52 55 62 67 68 64 59 56 58 65 72 75 76 75 72 69
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 8 8 5 5 10 19 27 28 24 23 23 23 21 16 12 12 14 14 14 11 8 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 1 0 1 1 0 0 0 2 13 23 29 33 34 34 32 31 28 20 9 2 0 0 0 2 15 21 22 21 18 14 14 19 23 27 30 32 38 43 46 46 42 37 30 23 20 20 22 28 35 41 47 51 52 50 45 32 34 36 32 25 24 22 19 16 15 23 29 25 24 28 34 40 46 48 46 47 51 60 67 69 66 60 55 54 59 64 69 73 74 75 73
0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 5 7 8 8 6 6 9 16 23 25 21 17 16 17 17 14 11 11 12 12 12 10 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 1 5 10 11 8 3 0 1 4 12 21 30 38 42 45 48 48 38 22 10 3 1 1 4 17 27 31 31 29 26 22 21 23 26 28 31 41 45 44 40 36 33 28 24 22 22 24 27 34 40 48 54 55 54 55 50 46 41 36 32 23 17 9 3 2 2 22 26 26 28 32 38 42 42 40 41 48 58 66 68 65 61 56 53 54 59 64 67 70 72 71
0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 5 7 7 7 6 5 7 10 15 17 14 10 9 10 12 11 9 9 10 10 10 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 22 24 17 9 4 4 7 12 18 30 39 48 56 55 46 33 20 10 5 7 16 27 36 39 38 36 31 25 23 25 28 32 38 46 47 43 37 32 28 27 26 27 29 32 37 42 46 54 63 66 64 64 62 57 50 42 38 30 18 8 6 3 1 16 28 32 34 37 42 44 45 45 47 53 61 66 68 65 62 60 61 66 69 70 70 69 69 67
0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 7 7 6 5 4 4 5 7 8 9 7 6 7 8 8 7 8 8 9 9 8 7 6 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 1 4 10 18 23 21 15 10 8 10 12 18 26 33 40 42 40 34 26 17 12 17 29 40 48 48 43 39 33 30 29 32 36 41 45 48 48 45 39 31 28 28 30 32 36 42 48 53 56 61 70 77 78 78 77 74 66 52 44 35 24 17 20 22 26 31 35 39 43 47 50 52 54 56 58 62 67 71 74 72 67 69 76 84 87 84 80 76 74 70
0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 6 4 3 2 1 2 2 3 6 8 7 6 6 6 6 7 7 8 8 8 8 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 9 17 20 18 12 12 14 16 18 20 20 20 21 22 21 19 16 23 35 46 54 54 49 43 37 35 35 40 46 50 52 53 54 52 46 38 34 34 36 37 41 46 54 62 66 68 72 80 88 94 96 91 82 66 56 48 41 35 34 36 38 40 43 44 49 54 59 62 63 64 68 71 74 78 82 78 73 77 85 91 92 89 84 80 76 73
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 2 1 0 0 0 0 1 4 7 8 7 6 6 6 6 6 6 6 7 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 14 20 23 20 19 20 21 20 15 8 5 6 11 16 19 19 26 34 42 49 52 51 47 43 40 40 43 49 52 55 59 62 63 58 51 46 45 47 48 52 56 63 71 78 80 82 88 95 104 110 104 93 81 71 64 60 54 52 48 44 43 43 46 51 56 62 68 72 70 73 77 80 82 86 83 81 82 85 87 86 84 81 77 73 70
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 1 0 0 0 0 0 0 2 5 6 6 5 5 5 4 4 4 5 6 7 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 0 0 0 0 0 1 2 2 2 4 11 17 23 29 33 33 30 27 24 21 17 9 4 5 12 19 24 27 30 33 37 40 42 43 43 41 40 38 39 43 45 49 55 61 65 64 62 60 61 62 64 68 73 78 85 93 97 100 104 108 115 120 114 103 92 85 80 76 74 70 61 51 46 45 46 49 53 58 67 79 78 81 84 86 87 85 82 80 80 80 81 81 80 77 75 73 69
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 1 2 3 3 3 4 4 4 4 4 4 5 6 7 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 1 2 4 7 10 12 16 22 29 35 39 40 38 31 24 20 18 20 20 19 19 20 22 25 28 32 33 33 33 31 30 29 29 30 31 34 34 36 40 47 54 60 63 66 70 74 77 79 84 89 94 100 105 110 115 119 122 124 125 120 113 104 97 96 90 85 78 68 58 51 49 47 46 49 54 63 73 83 88 91 91 87 82 79 77 75 74 76 79 82 83 83 80 75
0 0 0 0 0 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 3 3 3 4 4 4 5 5 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 1 3 5 8 13 19 27 37 44 49 50 47 38 28 18 12 10 11 17 26 33 35 32 27 24 26 30 33 32 30 27 23 20 19 19 20 22 24 28 35 44 52 60 65 69 73 80 86 91 97 102 107 110 113 117 122 126 126 124 122 116 112 108 105 105 97 87 76 68 65 60 57 53 49 50 54 65 78 88 94 96 95 88 82 78 77 77 75 76 79 84 92 96 92 86
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 16 19 19 30 47 61 68 66 53 30 14 5 2 2 3 11 23 33 38 36 30 26 26 29 33 33 32 29 25 21 18 17 18 20 23 28 37 47 55 63 68 73 76 82 87 94 100 105 109 116 120 125 128 127 121 115 112 109 105 100 98 97 93 88 77 62 64 65 65 63 57 53 57 66 76 85 90 92 92 89 87 87 87 85 81 78 78 81 87 96 94 85
0 0 0 0 0 0 0 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 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 1 6 16 24 27 22 16 26 44 59 65 61 46 23 7 1 0 0 2 7 18 29 35 34 30 27 26 29 33 35 35 33 29 24 20 19 22 26 30 36 45 55 62 69 74 79 84 88 91 94 98 104 114 124 132 137 139 134 124 116 110 105 100 89 86 84 83 83 79 68 64 66 69 70 66 60 57 63 74 82 83 83 85 90 95 102 105 102 90 78 72 70 66 66 65 61
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 30 38 34 20 13 24 38 48 47 40 29 18 9 4 4 4 6 12 22 30 32 30 26 23 23 27 34 41 44 46 44 38 27 26 31 38 44 51 60 68 76 82 87 92 98 100 102 105 112 123 133 138 141 142 144 144 136 129 120 110 102 88 82 78 77 78 77 72 68 66 66 63 61 56 54 61 73 82 81 81 84 90 102 117 113 104 90 73 63 55 46 39 37 36
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 34 41 34 18 12 16 23 26 24 16 12 13 14 15 15 15 16 24 33 39 35 27 22 19 21 30 44 54 59 63 65 65 59 55 56 62 67 74 83 90 95 99 104 106 109 110 113 121 133 144 146 143 139 136 133 132 131 133 132 122 108 95 88 85 83 83 79 75 72 68 62 58 53 50 52 60 70 77 79 80 80 80 87 98 95 86 74 63 54 47 39 31 27 25
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 30 35 26 7 2 2 4 6 6 3 2 5 12 22 28 26 27 38 50 52 40 26 18 20 30 43 54 60 64 69 71 70 68 71 75 77 75 78 87 94 98 99 97 101 103 106 110 118 131 138 135 130 126 124 120 108 106 114 127 132 119 104 94 91 91 89 82 76 70 65 61 56 51 47 49 56 63 67 69 70 70 67 68 71 71 66 59 53 49 47 44 38 31 25
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 25 17 2 0 0 0 0 0 0 0 1 6 22 46 60 70 76 77 72 55 39 34 42 55 64 66 68 70 73 75 74 71 71 71 69 62 63 69 74 76 75 72 73 77 83 89 95 114 122 119 113 112 106 93 83 83 94 114 125 124 108 90 86 86 82 77 71 64 58 55 50 44 42 46 51 54 57 58 57 57 56 56 59 60 57 51 47 46 48 49 46 38 28
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 1 0 0 0 0 0 0 0 0 4 17 63 94 112 117 109 94 80 71 69 72 77 80 83 86 88 88 86 82 78 74 71 65 59 56 57 60 61 58 54 54 58 63 70 76 95 109 116 116 111 98 85 76 76 89 113 116 108 93 79 74 72 71 73 71 58 51 47 41 37 38 43 47 48 48 48 49 51 50 49 51 55 54 50 47 47 50 54 50 40 27
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 64 102 123 131 128 119 112 106 100 96 91 96 102 106 106 103 96 88 82 77 74 71 64 57 50 45 42 39 36 35 38 45 56 70 87 101 110 116 113 103 94 88 88 97 115 111 96 81 71 68 68 74 81 80 56 46 43 42 43 46 46 44 43 42 44 46 47 45 45 48 54 56 53 52 54 57 56 47 35 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 18 55 85 107 124 137 140 134 127 122 119 115 119 126 130 128 118 106 94 84 78 74 70 61 50 38 28 19 14 12 12 14 18 29 51 79 102 111 106 96 93 92 92 96 103 106 99 87 77 73 70 70 74 79 70 54 47 45 47 52 55 52 48 47 46 49 49 49 48 49 54 62 65 64 64 66 60 49 37 22 8
0 0 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 2 7 26 50 73 94 114 133 137 135 134 138 141 145 150 156 161 159 147 128 105 87 77 70 61 49 36 22 11 5 1 0 1 2 3 8 27 61 101 113 100 81 69 67 72 80 85 84 78 72 71 70 71 70 67 65 63 61 56 51 54 58 59 57 57 58 56 55 54 56 59 62 67 73 75 73 69 66 57 44 29 11 0
0 0 0 0 0 0 0 1 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 29 48 69 89 112 130 133 137 147 157 161 164 169 176 180 178 168 152 126 98 78 64 52 38 26 13 4 1 0 0 0 0 0 3 18 47 82 90 79 63 49 42 44 46 45 42 40 39 46 56 64 69 68 66 65 62 60 60 60 63 63 63 66 70 67 66 65 67 71 74 80 82 82 81 78 65 49 34 21 6 1
0 0 0 0 0 0 1 2 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 15 25 42 71 108 132 146 160 175 184 183 177 173 172 176 168 159 154 144 118 89 65 46 32 22 13 6 2 1 0 0 1 3 10 27 52 66 63 53 41 31 27 26 22 18 14 12 12 25 44 61 74 78 74 71 71 72 69 68 69 69 69 74 78 80 84 88 86 85 85 85 84 81 76 70 52 34 20 8 2 0
0 0 0 0 0 0 2 3 4 5 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 12 52 101 135 159 180 198 205 200 187 172 163 161 141 127 129 138 134 103 71 46 29 19 13 10 6 4 3 3 5 8 15 28 45 52 48 41 32 26 23 21 16 12 10 10 11 23 41 59 76 86 82 79 79 77 72 70 70 70 71 81 80 87 97 102 97 89 84 80 75 69 59 52 38 22 8 2 0 0
0 0 0 0 0 1 2 4 5 5 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 12 27 63 99 129 156 179 195 204 202 189 172 159 144 118 101 101 118 131 106 75 48 31 22 15 11 8 6 6 6 7 8 11 18 26 32 36 35 30 25 23 20 18 16 15 12 16 30 46 56 73 85 86 84 84 82 76 73 72 71 73 78 81 87 95 97 89 79 71 64 55 49 39 29 20 11 4 1 0 0
0 0 0 0 0 1 2 4 4 4 4 4 5 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 18 30 42 56 76 98 122 147 168 182 189 188 179 165 153 134 111 92 86 99 117 100 74 53 37 26 18 12 9 7 8 6 4 3 6 13 21 26 29 29 28 26 23 21 19 20 23 26 34 47 59 63 71 78 82 86 90 87 81 78 78 74 74 77 82 87 85 77 67 57 49 41 32 25 18 11 6 2 0 0 0 0
0 0 0 0 1 2 3 4 4 4 5 5 6 8 8 7 6 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 32 53 65 68 73 82 96 114 133 149 160 166 166 161 153 146 132 112 91 78 84 95 90 75 58 42 30 20 13 10 10 9 5 3 5 10 18 26 30 31 28 25 25 25 26 27 30 41 56 70 81 83 75 70 72 81 93 98 98 94 90 85 76 71 71 73 75 66 56 46 36 27 19 12 6 2 0 0 0 0 0 0 0
0 0 0 1 2 3 4 4 5 6 7 7 8 9 9 9 8 8 8 8 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 2 1 1 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 38 67 82 79 74 79 88 99 111 123 134 145 151 152 148 144 143 133 114 90 73 71 77 80 77 63 45 31 20 15 14 14 11 10 11 16 22 27 31 33 32 27 22 22 26 34 43 55 74 94 109 116 103 82 70 72 86 100 105 103 97 90 80 68 59 53 50 47 41 33 26 18 11 4 2 0 0 0 0 0 0 0 0 0
0 0 2 2 4 4 4 5 6 8 9 9 10 10 11 12 12 14 16 15 11 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 2 4 3 1 0 0 0 0 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 26 54 72 74 66 67 82 99 112 120 125 131 138 145 148 145 143 143 132 110 85 66 57 57 62 65 59 43 30 20 16 18 18 19 20 23 27 31 32 34 34 32 25 20 21 27 39 58 83 105 123 135 135 112 91 82 88 106 116 107 93 80 67 56 45 36 31 28 24 19 14 10 6 3 1 0 0 0 0 0 0 0 0 0 0
2 2 2 3 4 5 5 6 8 10 10 11 11 13 15 18 21 23 26 21 13 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 1 4 4 3 1 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 2 11 37 58 66 62 58 68 92 117 135 143 139 134 135 138 141 142 144 138 120 95 69 52 40 34 35 43 44 36 27 20 16 18 21 24 27 29 31 30 29 28 27 24 20 19 23 31 44 65 88 108 124 138 138 126 113 103 100 99 89 75 60 47 36 27 20 16 14 11 8 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0
4 3 4 4 5 6 6 7 9 10 12 13 14 16 21 24 27 28 28 21 12 6 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 40 56 62 60 61 80 109 138 159 165 151 139 133 132 135 138 135 121 97 70 51 37 26 18 16 22 26 25 22 19 18 20 23 26 28 28 27 26 24 21 17 13 11 14 21 34 50 69 86 99 111 121 127 128 122 107 83 62 43 30 20 15 11 8 6 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 5 5 5 5 6 6 8 10 12 13 15 16 20 24 26 27 28 24 18 12 8 6 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 16 36 51 60 63 73 100 130 153 164 162 149 139 132 130 130 127 115 94 69 52 40 29 20 14 10 10 14 16 17 18 19 20 20 20 18 18 17 17 17 16 12 7 6 8 15 30 51 70 83 90 94 95 97 93 80 56 36 22 12 5 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3
4 5 5 4 4 5 7 9 11 12 14 15 18 20 23 24 24 23 20 16 14 12 11 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 9 9 8 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 2 13 28 43 56 66 83 110 138 159 164 157 148 141 138 133 126 114 95 73 55 45 36 28 20 14 12 13 16 18 17 16 16 16 15 14 12 11 10 11 12 12 8 6 7 12 18 30 50 67 77 75 69 63 57 49 36 22 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3
2 3 2 3 4 5 8 10 12 12 13 15 17 19 20 22 23 23 22 20 19 17 15 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 9 12 14 13 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 1 10 24 39 55 68 86 111 136 156 163 155 147 141 136 129 119 104 85 66 51 43 36 28 23 24 28 32 32 29 23 18 14 10 8 8 8 9 8 7 6 6 5 9 18 29 41 56 70 77 72 59 47 37 30 24 18 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 6 3
1 2 1 3 5 7 10 12 12 12 13 15 16 17 18 20 21 22 23 22 21 19 16 13 9 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 6 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 26 42 59 75 92 112 134 152 158 149 135 119 104 95 89 82 72 59 49 42 34 26 26 38 49 51 45 35 22 13 7 4 2 4 7 8 7 6 7 9 16 27 42 55 67 81 93 96 75 55 41 30 23 19 14 9 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 5 7 8 8 6
2 4 4 6 7 9 11 12 12 12 14 15 16 16 17 18 19 20 20 19 18 17 15 14 11 8 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 20 36 54 71 86 100 115 129 141 146 140 123 98 73 58 53 52 50 45 38 32 24 20 24 38 45 42 32 20 11 5 1 1 3 6 8 9 9 10 15 24 38 55 69 78 86 91 92 92 74 59 48 40 35 24 19 14 10 6 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 11 10 10 11 13 14
6 8 9 10 11 11 12 12 12 14 16 18 18 19 21 22 21 20 17 14 12 11 12 14 13 12 10 9 7 4 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 1 4 13 26 43 62 82 94 104 114 124 136 139 133 117 93 69 50 40 36 35 34 32 26 20 17 20 24 23 18 10 6 4 2 2 5 9 12 14 16 17 19 27 40 57 74 86 89 91 89 82 71 59 49 42 38 33 30 26 21 15 10 7 6 5 4 1 0 0 0 0 0 0 0 1 0 0 2 3 4 8 15 19 20 18 20 20 24 25
10 12 12 13 13 13 13 13 14 16 20 24 27 32 35 36 34 30 25 20 15 13 15 17 17 16 15 13 7 3 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 2 9 18 31 47 67 84 95 103 112 122 131 132 125 111 95 82 60 45 40 39 36 32 26 20 15 15 15 12 8 4 4 6 7 9 12 17 24 29 31 31 33 40 50 61 69 73 74 73 67 57 45 35 28 25 22 19 16 14 12 10 7 7 8 9 9 6 4 3 4 4 4 8 14 16 15 20 22 24 26 29 34 38 41 41 38 37 37 37
14 15 15 15 15 16 16 15 17 23 31 39 44 50 53 54 52 52 47 41 33 27 24 24 24 23 21 17 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 1 3 8 16 25 37 52 68 82 93 102 110 116 118 116 110 100 93 91 81 68 56 46 39 32 25 19 14 11 10 8 6 4 6 11 18 26 30 36 44 51 54 53 55 58 56 48 41 40 42 43 39 32 26 21 17 14 12 9 7 5 3 2 2 3 6 9 11 11 10 9 10 10 10 15 25 36 47 54 60 65 68 68 69 70 70 64 60 56 53 52
16 16 16 16 17 18 19 20 24 34 46 54 59 62 65 67 69 70 68 61 52 42 39 36 30 23 22 20 12 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 24 36 50 63 72 82 92 102 109 111 108 104 100 94 90 91 90 83 65 45 34 26 19 14 9 7 5 4 4 5 9 17 28 41 44 49 56 65 72 68 62 49 32 15 12 15 21 26 24 20 16 14 12 9 7 4 2 1 0 0 1 4 8 11 12 13 12 10 10 11 13 18 24 34 46 59 69 77 86 92 96 97 94 84 76 68 60 55
16 15 15 16 17 19 22 25 33 43 53 60 63 64 65 65 65 67 68 65 56 45 35 24 19 17 15 15 11 7 4 2 1 1 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 35 56 74 80 82 84 89 96 103 102 98 92 87 80 78 78 76 69 52 37 26 18 12 8 4 2 1 2 4 8 13 19 27 39 43 45 50 59 66 56 38 19 5 1 2 8 14 20 17 13 10 8 5 3 2 1 0 0 0 0 2 6 10 10 11 12 12 12 13 16 20 25 29 34 40 46 52 59 67 75 82 89 88 82 73 65 58 50
14 13 13 13 14 16 20 26 34 42 49 54 56 55 53 50 48 49 52 50 44 34 23 20 15 10 8 7 6 6 6 5 4 3 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 24 48 74 92 93 92 89 88 88 90 86 80 74 67 61 58 57 55 49 37 27 17 10 6 3 2 1 1 4 7 10 13 15 17 23 27 29 32 39 37 20 4 1 0 0 2 5 8 9 7 4 2 2 1 0 0 0 0 0 0 0 2 6 11 12 14 15 14 14 17 21 24 27 31 33 35 36 38 40 44 49 52 56 58 57 52 49 47 45
10 9 9 9 10 13 19 27 34 39 41 42 40 39 37 36 35 38 36 31 25 19 17 16 14 10 6 3 2 3 5 7 6 5 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 34 63 90 105 101 96 91 87 83 76 69 63 58 53 51 50 48 43 36 27 18 11 6 4 2 2 4 6 8 10 10 10 10 8 9 10 12 13 14 8 2 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 1 2 3 5 8 10 11 12 14 14 17 22 26 28 31 30 28 26 26 26 28 29 31 30 30 30 32 33 35 38 41
7 6 5 5 7 11 20 28 31 31 28 26 24 23 22 22 25 26 22 16 10 6 7 8 9 7 4 2 1 1 2 4 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 17 43 71 94 103 100 96 92 87 81 72 64 58 53 50 48 44 39 33 27 20 14 10 8 6 7 8 10 12 12 10 8 6 4 3 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 8 8 8 9 10 15 18 22 27 30 30 30 26 20 16 16 16 17 19 20 20 19 19 21 23 26 29 34
5 5 4 4 8 14 22 28 28 25 21 18 16 14 13 13 14 14 11 6 2 1 1 2 2 2 2 1 1 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 18 40 62 78 88 95 96 94 89 81 73 65 59 50 41 34 28 25 23 22 19 16 14 14 13 14 14 14 11 8 6 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 13 13 12 12 12 11 12 18 21 24 27 29 28 24 19 13 11 11 10 10 10 12 12 12 14 18 21 24 28 33
5 6 8 10 13 17 21 23 22 20 17 15 13 11 10 9 9 7 5 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 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 2 3 2 1 0 0 0 0 0 0 0 10 25 42 57 74 86 93 92 83 70 56 43 31 20 16 14 14 16 20 24 25 24 23 22 21 19 15 10 5 2 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 13 18 20 18 16 14 15 19 21 25 27 27 27 26 23 19 15 11 9 8 8 7 7 7 8 9 12 17 21 25 28 31
6 8 10 12 13 14 15 15 15 15 14 13 12 11 10 9 8 5 2 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 1 4 10 16 18 14 5 4 6 5 2 0 0 0 0 0 0 1 5 13 26 41 60 73 78 74 60 44 31 21 14 9 8 11 17 23 29 31 31 29 27 24 18 12 6 2 1 0 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 16 18 18 17 16 18 23 29 31 32 32 30 27 24 20 14 11 9 8 7 6 6 6 6 8 10 13 15 17 20 23 28
4 4 4 5 6 8 10 11 12 12 12 11 11 10 10 9 8 6 3 2 1 0 0 0 0 1 1 3 5 5 3 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 2 1 0 0 0 0 1 2 4 6 11 20 32 42 47 45 31 16 11 8 3 1 0 0 0 0 0 0 2 7 17 29 41 52 57 54 38 24 16 12 10 11 15 22 30 29 27 26 24 23 20 15 9 3 1 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 11 14 15 16 10 8 11 17 24 28 31 31 29 28 23 18 13 10 8 8 8 7 7 6 5 6 8 10 11 11 11 11 11 18
1 1 1 2 4 6 9 11 11 11 10 8 7 7 7 7 9 9 8 7 6 4 3 2 2 2 2 2 2 2 1 0 0 0 1 1 1 1 2 2 2 2 3 4 5 4 3 3 2 0 0 0 1 3 7 14 18 24 33 46 58 68 75 77 67 41 22 12 6 3 1 0 0 0 0 0 1 4 11 19 26 33 38 34 21 13 11 12 15 17 20 22 24 19 16 13 12 9 7 3 1 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 9 12 14 14 13 12 8 9 12 16 20 23 24 23 23 20 15 10 6 6 6 7 8 7 6 4 4 4 5 7 8 9 10 10 11 14
0 0 0 0 2 5 8 10 10 10 10 8 7 6 6 6 8 9 10 9 7 5 4 3 3 2 1 1 0 0 0 0 0 1 3 3 3 4 4 4 4 4 4 5 5 4 3 2 1 0 0 1 6 16 27 34 39 44 53 67 82 92 99 103 96 64 35 16 10 7 4 3 1 1 1 2 2 4 8 11 14 18 22 23 16 12 11 11 10 8 7 5 4 4 4 4 3 2 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 11 12 14 15 14 14 12 9 8 8 9 10 12 12 12 13 12 9 5 3 3 4 4 4 7 8 8 5 3 3 3 5 8 12 16 18 18 18
0 0 0 0 0 2 3 6 9 10 8 5 4 4 4 5 6 6 7 8 8 7 5 3 3 2 1 1 0 0 0 1 2 3 4 4 4 4 4 4 4 5 5 5 4 3 2 1 0 0 3 11 24 40 50 53 54 57 66 81 99 112 121 128 121 92 55 25 14 10 9 7 4 3 3 3 3 2 3 2 2 3 5 8 5 5 7 2 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 12 15 16 16 16 15 12 10 8 6 5 5 6 4 3 3 3 3 1 0 0 2 6 7 7 8 10 10 8 7 7 6 5 8 12 17 22 25 26 24
0 0 0 0 0 0 1 3 5 6 4 1 1 1 2 2 2 3 4 6 7 7 5 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 2 1 1 0 1 3 11 26 43 55 63 64 65 67 75 88 103 118 133 146 143 115 76 39 23 16 14 13 7 4 2 1 1 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 1 3 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 13 15 16 16 14 14 13 11 9 6 4 2 1 1 0 0 0 0 0 0 1 2 5 10 12 13 15 16 17 17 15 14 10 9 11 15 21 24 26 25 20
0 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 3 4 5 4 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 0 1 3 8 19 32 46 59 69 73 75 78 83 93 106 122 139 155 156 132 93 53 36 28 26 25 19 10 4 1 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 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 1 4 8 14 17 20 20 17 15 15 13 10 7 4 1 0 0 0 0 0 0 0 1 2 3 5 7 12 15 16 17 17 18 20 22 22 19 16 14 14 16 20 21 20 19 13
1 3 5 5 5 5 4 4 4 4 2 1 1 0 0 0 0 1 2 4 4 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 0 1 2 4 17 24 34 48 63 73 82 87 90 94 104 116 130 145 159 158 139 108 74 54 44 40 38 34 23 14 6 2 1 0 0 0 1 3 4 4 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 1 1 0 0 0 0 0 0 2 6 12 19 23 25 24 20 15 12 8 4 0 0 0 0 0 0 0 1 2 3 3 4 6 8 12 15 18 20 20 18 17 18 20 22 22 21 19 16 15 16 16 15 14 12 10
3 5 5 4 4 3 2 3 3 2 1 0 0 0 0 0 0 0 1 2 2 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 0 0 1 2 4 6 10 19 29 44 60 73 81 90 98 105 110 118 128 138 149 154 150 137 117 90 69 54 46 43 39 30 20 11 4 2 1 1 2 4 6 6 6 8 6 7 6 5 2 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 4 6 8 7 5 3 1 0 0 1 3 7 13 18 21 24 23 20 16 11 9 6 3 1 0 1 1 2 2 3 5 6 6 8 9 9 10 13 17 19 20 20 18 16 16 16 17 19 20 20 20 18 14 11 9 8 9 10 9
6 6 5 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 2 3 3 2 2 2 2 2 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 0 0 0 2 4 7 12 21 34 49 64 78 89 96 103 110 117 124 129 132 135 140 141 137 127 111 92 74 60 49 40 35 28 21 15 10 7 5 4 5 5 6 8 11 16 17 19 20 17 9 3 0 0 0 0 0 2 4 5 6 5 3 1 2 4 7 10 12 12 11 8 4 1 0 0 1 4 8 12 17 22 25 24 20 15 11 8 7 6 6 6 7 8 9 10 11 12 12 12 11 11 12 14 16 18 18 17 16 14 12 11 11 13 16 18 19 20 15 9 5 3 6 7 9 10
6 6 4 3 2 1 1 2 2 2 1 0 0 0 0 0 0 1 2 3 4 3 2 1 1 1 2 2 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 3 7 13 24 38 54 71 85 97 106 111 116 121 124 127 127 125 121 119 116 107 94 89 79 64 51 40 34 29 25 21 18 16 14 13 13 12 12 13 15 17 20 26 34 44 52 36 16 4 2 2 2 4 6 9 11 14 16 20 20 22 25 28 29 27 22 17 13 8 3 0 0 0 2 6 12 19 24 25 24 20 16 13 11 12 13 14 16 18 18 17 16 15 13 12 10 9 8 9 11 12 14 14 13 11 8 7 7 7 12 16 18 18 15 8 4 2 1 6 9 10 9
2 2 3 3 3 3 3 4 5 4 2 1 1 1 1 1 2 3 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 1 3 8 10 17 29 46 64 79 93 106 115 114 108 106 108 103 101 102 101 94 80 66 54 48 50 46 39 30 22 18 18 19 20 21 20 19 20 22 22 24 25 23 20 24 34 49 69 86 72 49 28 19 17 16 17 18 19 23 31 41 53 64 68 64 58 54 47 38 29 23 18 12 8 5 2 5 11 17 23 26 25 23 19 16 14 14 16 17 18 19 20 19 18 15 12 9 6 5 4 4 4 5 7 9 9 9 8 8 7 8 9 13 16 16 12 6 2 0 0 2 6 9 10 11
1 2 2 4 4 3 3 3 3 2 1 1 1 1 2 3 4 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 1 1 9 21 33 41 52 72 95 113 118 103 86 74 73 75 77 79 75 60 36 22 17 18 18 17 14 12 8 6 6 7 9 12 11 11 12 16 23 29 30 27 22 25 34 54 88 103 101 88 70 56 50 48 47 48 51 56 62 68 73 74 73 70 70 71 66 57 46 39 34 31 29 26 21 21 23 26 27 26 23 21 18 17 16 17 18 18 18 18 18 16 14 11 8 4 2 1 0 0 1 3 6 8 8 8 8 8 8 8 11 13 14 10 7 2 0 0 1 5 8 10 11 11
2 2 2 2 2 1 1 1 1 0 0 0 1 2 4 6 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 1 2 4 7 13 31 57 83 88 67 44 30 29 36 48 50 40 21 9 4 5 6 4 4 3 2 2 1 1 0 0 1 2 2 2 4 8 12 15 18 20 23 35 58 88 106 113 112 104 95 88 83 81 79 79 80 81 80 77 73 68 64 65 71 72 69 63 57 54 52 52 50 45 40 35 33 28 23 20 19 18 17 18 18 18 19 18 17 15 13 10 5 2 0 0 0 0 0 1 3 6 7 7 8 8 10 11 10 11 11 11 6 2 1 1 2 4 7 9 11 12 14
3 3 4 3 2 1 0 0 0 0 0 1 3 5 7 8 8 8 6 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 6 18 36 41 28 13 3 4 7 13 14 8 2 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 9 21 32 45 60 77 92 105 113 113 109 105 102 101 98 94 91 87 83 74 66 59 54 54 60 66 68 68 69 70 70 65 60 54 48 41 34 26 21 18 18 16 16 17 17 17 16 15 13 10 7 4 2 0 0 0 0 0 0 2 4 6 6 7 8 9 11 12 11 10 9 6 3 2 1 2 3 5 6 8 10 12 14
3 3 5 5 5 4 3 2 2 2 2 4 6 7 8 9 10 10 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 10 8 4 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 3 16 30 44 54 61 70 82 94 99 100 103 105 108 106 100 92 84 76 67 59 53 49 49 52 56 61 64 70 73 72 65 57 50 43 36 28 22 18 17 16 15 14 13 13 12 10 7 4 2 1 0 0 0 0 0 0 0 0 1 3 5 6 7 8 10 12 11 10 8 7 5 4 3 3 3 3 4 5 6 8 10 11
1 2 4 5 6 6 7 7 7 7 7 8 9 10 10 12 12 10 8 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 14 26 35 44 55 66 77 84 90 96 103 109 109 101 88 76 66 58 52 47 45 45 47 50 54 60 66 68 64 56 49 41 34 27 21 17 16 16 14 13 11 8 7 5 4 2 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 8 8 9 8 7 6 6 5 5 5 5 5 5 5 5 5 6 8 9
0 0 2 3 4 4 5 6 7 8 9 10 11 13 14 14 13 11 8 6 5 4 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 1 3 7 16 29 45 61 73 82 90 98 105 105 101 91 77 64 56 50 45 43 42 42 43 46 50 58 63 64 58 49 40 32 24 20 16 15 15 14 12 9 6 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 7 6 6 6 5 5 4 3 2 3 4 5 6 6 5 5 5 5 5 5 6
0 0 0 1 2 2 3 3 4 6 10 13 15 17 18 18 15 12 8 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 31 53 71 85 96 104 103 97 87 74 62 54 50 46 44 42 41 42 42 44 50 57 62 62 53 43 33 25 18 14 12 12 13 12 10 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 10 8 5 3 2 2 2 0 0 0 0 1 4 5 5 5 5 5 4 4 3 4
0 0 0 0 0 1 1 2 5 9 13 17 19 20 20 19 16 12 7 5 4 3 3 3 2 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 11 27 47 66 83 94 95 88 80 70 61 54 50 48 47 45 44 44 45 46 48 52 56 58 57 48 37 28 20 14 10 9 9 10 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 8 7 5 2 1 0 0 0 0 0 0 0 2 4 5 5 4 4 4 3 1 1 2
0 0 0 0 0 1 2 5 8 12 16 19 20 20 19 17 15 11 7 5 3 2 2 2 2 3 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 21 38 53 62 68 71 71 67 63 58 54 51 50 51 51 50 51 52 53 53 53 54 54 52 47 38 28 20 14 10 7 6 6 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 2 1 0 0 0 0 0 0 0 0 0 1 3 3 4 4 2 2 1 0 0 0
0 0 0 1 2 3 5 8 11 14 16 17 18 18 16 15 13 11 8 5 2 2 1 2 3 5 6 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 23 36 45 50 52 53 54 53 53 53 53 53 56 58 59 58 58 58 57 55 52 49 46 41 33 24 17 11 7 5 4 4 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0
0 0 1 3 4 6 6 8 10 12 13 13 13 13 13 12 11 9 6 4 2 1 1 3 5 8 8 7 6 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 18 26 32 37 41 45 46 48 52 54 55 57 59 60 59 57 55 52 48 43 38 33 27 19 12 7 4 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 3 5 6 6 6 7 8 9 9 9 9 9 9 8 6 4 3 2 3 4 7 11 12 12 12 12 14 14 13 10 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 2 4 6 8 12 17 22 27 31 37 41 45 49 50 49 48 46 48 48 46 44 39 33 27 21 16 12 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 1 1 2 2 2 2 3 4 4 5 5 5 5 4 4 5 5 5 6 8 10 14 17 18 16 14 14 15 16 16 14 9 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 2 5 10 12 12 10 8 8 9 10 11 12 14 16 19 22 25 30 36 40 43 42 39 35 32 32 32 31 28 23 17 12 6 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 0 0 1 2 2 3 4 5 7 9 10 8 8 9 10 12 12 11 9 7 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 19 27 31 31 29 25 21 19 18 17 17 16 16 18 21 24 28 32 36 35 31 27 24 21 20 19 18 15 12 9 6 3 2 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 2 1 0 0 0 0 0 0 1 1 2 4 6 6 6 6 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 21 30 36 40 41 38 33 28 25 23 21 21 21 22 24 26 29 32 34 29 24 21 19 17 16 14 12 11 10 8 7 6 5 5 5 5 5 4 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
2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 5 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 3 8 14 21 30 38 44 44 40 35 30 27 26 26 27 27 29 30 32 35 35 31 27 24 22 20 17 14 12 12 11 11 10 10 9 9 8 8 7 5 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 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 1 1 2 2 1 2 3 6 14 21 26 27 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 1 3 5 11 19 28 36 37 37 35 33 32 32 33 34 35 38 39 39 38 36 33 28 24 23 22 20 17 14 13 13 14 14 14 14 13 12 10 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 6 11 17 27 40 51 57 52 35 17 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 2 8 16 24 28 30 32 33 34 35 37 40 43 46 47 46 43 39 34 28 20 19 19 19 18 17 17 17 18 18 18 17 15 12 10 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 16 27 40 55 72 84 87 78 55 30 10 0 0 0 0 0 0 0 0 0 0 0 0 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 12 21 27 31 34 36 35 37 40 43 47 50 51 49 45 40 35 28 19 16 15 15 16 17 18 19 20 20 20 18 15 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 7 16 30 46 63 80 95 105 106 96 75 49 24 12 6 4 3 3 2 1 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 1 5 14 26 35 41 44 44 43 43 45 46 50 52 52 50 45 41 37 30 21 16 13 13 14 16 17 18 19 19 19 18 15 10 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 1 3 6 10 16 31 49 68 84 97 108 114 114 104 87 67 46 33 26 22 19 15 8 3 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 4 3 2 1 1 1 1 1 2 2 1 0 3 8 15 25 38 49 55 57 55 52 50 49 50 52 53 51 47 43 40 37 31 24 18 14 14 15 16 18 18 19 19 18 16 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 22 33 52 72 87 96 103 110 110 105 102 93 79 64 52 46 42 39 31 17 7 1 0 0 0 0 0 0 0 1 4 8 11 14 15 16 15 14 13 11 10 8 8 10 12 12 13 14 20 27 34 43 51 57 62 63 58 53 49 48 50 52 52 49 44 40 38 36 32 28 22 16 16 17 17 18 19 19 18 15 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 3 7 13 22 36 54 73 87 95 95 99 103 105 102 99 92 83 74 69 66 64 60 44 26 12 3 0 0 0 0 0 0 1 4 13 20 26 28 30 30 31 31 29 28 28 28 29 30 31 33 35 38 42 46 51 54 55 55 54 52 48 44 42 42 45 48 50 49 46 43 40 37 31 25 19 17 16 15 16 18 19 19 15 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 3 5 9 16 28 44 63 77 84 86 83 85 88 92 91 89 86 83 80 82 83 81 74 54 34 17 6 2 0 0 0 0 1 5 14 26 34 38 39 39 40 42 43 42 45 47 49 51 52 51 51 51 49 48 48 49 48 47 46 44 42 38 34 31 31 33 37 41 44 46 46 44 38 29 21 16 14 13 13 13 16 16 12 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 16 24 35 48 63 70 72 71 69 69 71 74 75 76 78 81 83 88 89 85 76 58 40 24 12 3 0 0 0 1 4 11 22 35 41 42 40 38 40 42 45 50 56 62 66 69 70 67 62 55 48 42 37 34 34 34 34 34 32 28 25 21 18 19 21 25 31 37 41 41 35 28 20 15 12 10 9 10 13 11 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 15 24 31 38 44 52 59 61 61 60 59 58 58 59 60 62 69 77 80 82 81 77 68 54 39 25 14 4 0 0 0 1 4 11 22 35 40 40 36 36 39 44 49 58 68 76 82 84 82 76 65 52 42 34 30 28 27 26 26 25 22 18 14 9 5 4 4 7 11 18 26 30 27 23 19 14 9 8 8 10 10 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 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 1 3 10 20 32 39 42 44 46 51 54 56 56 56 55 53 50 49 53 60 69 72 72 69 63 55 45 34 23 13 5 1 0 0 1 3 8 17 26 31 32 32 35 41 49 59 72 83 91 93 90 82 70 53 41 34 29 27 26 25 23 21 18 14 10 5 2 0 0 0 0 1 4 8 10 12 13 13 10 9 8 9 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 3 6 13 22 33 38 38 38 40 43 47 51 54 57 57 55 51 47 49 55 61 63 62 60 56 50 43 34 25 15 7 2 0 0 0 1 3 9 14 19 23 28 36 44 53 66 79 90 95 92 84 71 57 43 33 27 24 22 22 22 21 18 13 7 2 1 0 0 0 0 0 0 0 1 2 4 8 8 7 7 7 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 17 25 35 38 38 38 39 40 42 45 50 56 59 61 61 59 58 57 58 58 57 56 55 50 44 36 28 17 8 2 0 0 0 0 0 3 7 12 19 27 36 44 53 65 77 84 86 82 72 60 47 37 28 23 19 18 19 19 19 17 13 6 0 0 0 0 0 0 0 0 0 0 1 3 6 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 1 0 0 0 0 0 0 1 1 1 1 1 0 1 3 6 8 10 11 12 14 18 24 32 36 36 36 36 37 40 43 47 54 61 67 70 69 66 62 58 58 59 59 57 52 44 36 26 16 7 1 0 0 0 0 0 1 5 10 18 26 34 41 47 57 66 73 76 71 62 51 41 33 26 22 18 16 16 16 16 15 13 8 2 1 0 0 0 0 0 0 0 0 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 11 11 8 4 1 0 0 1 3 7 8 10 11 13 14 16 19 24 22 17 13 13 15 18 22 27 30 32 34 36 38 41 45 48 57 65 71 73 72 69 66 64 66 67 67 64 57 48 37 26 14 5 0 0 0 0 0 0 1 5 10 17 22 27 32 38 46 54 62 66 63 56 46 37 30 25 21 18 16 15 13 12 10 9 7 4 2 1 0 0 0 0 0 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
20 23 24 18 12 5 2 3 8 15 23 25 27 29 33 37 40 40 36 25 16 12 12 13 15 19 24 31 36 40 42 46 50 53 57 63 67 70 71 72 70 69 73 76 77 75 71 64 55 44 30 15 6 1 0 0 0 0 1 4 6 9 12 15 19 24 31 38 46 53 57 56 51 44 35 29 24 20 18 15 13 11 8 6 4 3 2 1 0 0 0 0 0 0 1 4 5 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
27 29 31 28 22 15 11 14 20 28 35 37 40 43 48 49 47 40 30 21 15 11 11 12 15 20 29 37 44 49 52 56 59 62 64 64 63 62 65 70 72 73 78 80 79 76 73 68 61 51 35 21 11 4 2 3 4 5 6 7 7 7 7 9 12 18 25 32 40 47 51 51 49 43 34 28 23 19 16 14 12 9 6 3 1 0 0 0 0 0 0 0 0 0 2 5 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
33 32 33 32 28 24 21 22 25 28 32 37 44 52 58 56 49 40 29 22 17 15 15 17 20 26 35 43 50 54 58 61 63 64 62 59 56 54 59 65 70 74 76 74 71 66 65 62 57 50 42 34 26 19 15 14 14 13 12 10 9 8 7 8 10 14 21 28 35 42 48 51 49 42 33 25 19 16 14 12 10 7 5 2 1 0 0 0 0 0 0 0 0 0 0 4 9 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 0 0 0 0 0 0 0
59 51 44 41 40 38 36 35 35 36 37 43 52 61 62 57 50 43 36 32 29 29 30 30 30 32 37 42 47 51 53 54 54 54 52 48 47 50 56 61 65 67 67 62 56 50 48 47 47 48 48 46 42 38 33 29 26 21 17 14 13 12 12 12 13 16 21 26 31 39 46 50 49 41 31 23 18 15 13 11 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 2 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
90 80 74 70 68 66 62 61 61 61 60 63 65 65 60 55 49 44 38 36 37 39 40 38 36 33 34 36 40 42 42 41 41 40 39 38 38 40 42 43 45 49 46 41 36 33 32 33 36 42 48 52 55 53 47 40 34 28 23 20 19 20 20 19 20 22 24 26 30 37 45 48 46 38 31 24 19 15 11 8 6 5 4 3 1 1 0 0 0 0 0 0 0 0 0 0 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
109 102 98 95 91 86 81 80 79 79 75 71 65 59 53 49 43 37 31 33 35 36 35 32 29 27 27 29 33 36 37 37 36 35 36 36 36 36 35 33 30 28 23 20 20 22 26 29 33 38 45 54 61 62 58 53 46 39 34 32 32 32 30 29 29 29 27 26 27 33 39 43 44 37 32 27 22 16 11 7 5 6 6 5 4 2 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
107 105 105 102 96 87 78 75 73 72 68 62 55 47 40 35 30 26 24 27 30 32 31 30 28 26 26 29 33 37 40 41 40 40 41 42 43 42 37 32 27 22 17 16 18 23 29 33 36 38 42 49 57 63 66 67 65 58 54 50 48 44 40 36 34 31 27 24 22 24 27 29 31 31 30 28 24 19 14 10 8 8 8 7 6 4 1 0 0 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
82 88 94 97 92 83 68 59 54 51 50 47 42 37 31 27 23 20 23 28 31 33 34 35 35 36 37 39 41 44 46 48 50 51 52 53 52 47 38 33 29 28 27 28 31 35 39 40 38 38 39 42 46 53 60 68 74 71 68 64 62 54 45 38 34 30 26 21 18 16 15 16 19 23 25 27 25 20 16 13 12 11 11 11 9 6 3 2 3 4 6 5 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
56 61 69 76 75 69 56 48 42 37 34 32 30 30 27 24 22 21 26 30 34 36 38 40 43 47 47 48 49 51 53 55 56 55 54 52 49 46 39 36 35 36 39 43 46 47 46 43 39 37 37 37 37 37 39 45 56 61 64 63 57 49 41 35 30 27 23 19 14 10 8 8 11 15 19 22 21 19 16 14 13 12 13 13 10 7 4 4 5 6 8 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 0 0 0 0 0 0 0 0 0 0 0 0
40 43 46 46 46 43 37 33 28 25 22 21 22 23 23 22 22 23 28 32 36 38 40 44 48 52 52 55 57 60 62 63 63 60 57 54 51 51 50 50 50 51 52 52 52 53 49 43 37 34 33 33 33 29 26 26 34 41 46 48 46 41 36 31 26 24 21 16 11 7 5 5 6 10 14 16 15 14 12 11 11 12 13 13 10 8 5 5 6 7 8 6 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
19 21 25 24 22 21 18 15 12 11 10 10 12 16 20 23 26 29 34 39 43 46 48 50 53 55 58 61 66 70 72 73 71 65 61 57 54 56 60 65 69 68 61 54 49 48 44 37 30 27 27 28 28 27 25 24 26 29 32 34 37 36 34 30 26 22 19 16 11 8 5 4 4 6 9 10 10 9 8 8 9 10 11 11 9 7 5 4 5 6 6 5 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
7 9 11 11 10 10 10 10 11 13 16 18 20 25 29 33 37 42 48 54 59 61 62 61 61 61 63 67 71 75 76 75 71 68 66 64 62 64 68 72 77 80 74 63 54 47 41 35 29 28 29 30 30 28 27 27 27 27 27 29 33 34 33 30 26 23 20 18 14 10 7 5 4 5 6 6 6 7 7 8 9 10 10 9 8 6 4 3 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
23 26 28 27 26 25 27 30 34 38 42 44 46 49 53 58 62 67 69 72 73 72 70 68 67 67 69 73 77 78 77 76 77 78 79 79 79 80 81 83 84 89 87 79 65 53 44 38 37 39 41 41 39 36 34 32 30 28 28 30 33 33 32 30 28 26 25 25 20 15 10 7 4 3 3 4 5 7 9 11 12 12 10 9 7 6 5 4 4 4 4 4 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