Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 5 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 6 6 5 4 4 4 3 3 2 2 2 3 3 3 3 3 4 4 4 3 3 2 2 2 3 3 3 4 3 2 2 2 3 3 2 3 3 3 3 3 3 3 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 5 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 4 4 3 3 3 3 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 8 8 8 7 8 8 7 7 6 5 5 4 4 4 4 5 5 6 5 6 6 7 6 7 6 6 5 5 5 3 3 6 8 7 8 7 6 3 6 11 8 4 2 1 3 8 5 -0 5 7 7 9 8 4 1 1 1 1 2 2 3 4 4 4 4 5 6 5 2 1 4 6 4 1 -1 -0 -1 1 6 7 4 2 3 3 2 1 2 3 2 2 4 5 5 2 -1 -0 2 5 15 34 39 25 11 7 5 4 3 3 3 3 3 4 5 5 7 10 12 14 17 18 15 10 6 4 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 4 5 5 6 6 5 5 6 7 6 4 4 4 5 4 3 3 3 3 4 5 6 5 4 4 4 6 9 11 12 8 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 9 15 19 14 11 11 12 10 3 -3 -5 -8 -7 -2 1 3 6 6 3 4 6 4 1 -1 -4 -8 -10 -11 -11 -5 2 5 5 5 6 7 8 8 11 15 12 8 7 6 6 6 7 7 8 8 7 10 14 17 15 13 13 12 11 10 10 12 14 15 13 9 5 3 3 3 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 5 5 5 5 6 6 5 5 5 5 4 4 4 5 5 5 6 6 5 5 4 4 5 4 3 3 3 3 2 2 2 2 2 3 3 3 2 2 2 2 3 3 4 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 2 3 3 3 3 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 7 6 6 5 4 4 4 4 5 6 6 6 6 6 7 7 7 6 5 5 5 4 3 4 9 10 10 8 5 4 2 6 7 5 3 2 1 1 5 4 2 5 7 8 9 10 9 5 2 1 1 2 4 4 5 5 3 3 5 7 8 6 4 2 3 4 2 -2 -4 -2 -0 3 4 1 -2 1 4 2 -1 1 4 3 3 4 5 7 8 8 7 10 16 26 34 29 15 7 6 5 4 3 3 3 3 3 4 4 6 8 10 11 13 15 16 13 8 5 3 2 2 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 5 5 5 5 5 5 5 5 6 7 6 5 5 5 5 5 4 4 5 5 5 4 3 2 -0 2 4 4 4 5 6 5 5 7 7 6 5 5 6 5 4 3 3 3 3 4 5 6 6 5 4 4 6 8 10 11 9 6 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 7 12 14 11 10 10 11 11 7 8 4 2 3 4 5 6 8 7 7 7 5 2 0 -1 -3 -4 -6 -9 -7 -2 3 4 4 5 5 7 8 11 12 10 7 7 7 7 7 7 7 8 9 8 9 12 15 13 9 8 7 6 8 10 11 13 13 10 7 4 3 3 3 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan 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 8 6 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 5 5 5 6 5 5 4 3 3 2 2 1 2 2 2 3 3 2 2 2 3 3 3 3 3 3 3 4 3 3 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 7 7 8 8 8 8 8 8 9 9 10 9 8 7 6 5 5 4 4 5 5 6 6 6 5 6 7 7 7 6 5 4 4 4 4 5 11 13 11 5 0 0 -0 4 5 5 3 5 4 1 1 3 5 3 2 3 4 5 7 6 2 1 2 3 4 5 7 6 4 5 8 10 9 7 6 3 -1 -1 1 0 -0 3 2 1 3 3 1 0 1 0 -0 3 4 2 2 3 6 11 15 16 17 19 24 30 28 17 8 6 6 5 4 3 3 3 3 3 3 4 6 8 9 10 11 14 15 12 8 5 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 3 3 2 2 2 2 3 5 6 7 5 5 5 5 5 6 7 6 5 5 5 5 5 5 4 5 5 6 6 4 3 2 -1 -2 1 3 2 1 4 6 6 7 6 5 4 5 6 6 4 3 2 2 3 3 5 6 6 5 5 5 6 7 9 10 9 7 5 5 5 4 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 3 3 2 2 2 2 2 2 3 4 7 8 8 7 7 8 7 7 6 5 6 7 7 7 6 5 6 7 6 4 3 4 3 3 2 -1 -2 0 3 5 5 5 6 7 8 9 9 8 7 8 8 8 8 7 7 8 8 8 8 10 11 9 6 5 5 5 6 7 9 10 9 7 5 3 2 3 3 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 13 11 8 6 6 6 5 5 5 4 4 5 5 5 5 6 6 6 6 5 4 5 5 6 6 7 6 5 5 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 4 3 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 4 4 4 4 4 3 3 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 7 8 9 9 8 8 8 9 10 11 11 10 8 7 7 6 6 5 4 5 6 6 7 7 6 5 6 7 7 6 5 5 5 4 2 1 4 12 12 4 1 2 1 5 8 5 3 5 9 5 -0 1 4 2 -1 -2 -1 2 3 2 1 1 3 5 4 7 9 8 7 8 10 11 10 8 7 5 -1 -4 -3 1 4 7 6 2 4 7 7 5 2 1 4 5 4 3 3 5 9 15 19 21 23 26 29 27 18 9 5 6 6 4 3 3 3 3 3 3 3 5 6 7 8 9 10 12 14 13 10 6 4 4 4 3 3 2 2 3 4 4 4 4 4 4 4 3 3 2 2 2 2 3 4 7 8 6 5 5 5 5 6 6 5 5 4 5 5 5 4 4 5 5 6 6 6 4 4 4 2 -3 -1 2 2 1 3 6 7 6 5 4 4 5 6 6 5 4 3 2 2 3 4 5 6 6 6 5 6 6 8 9 10 8 6 5 5 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 2 1 0 0 -0 0 1 1 1 1 2 3 4 3 4 4 4 5 5 5 8 11 9 5 4 5 6 8 9 5 3 3 4 5 4 3 4 4 4 5 5 6 8 10 9 9 8 8 10 10 9 9 8 7 8 8 7 7 8 8 6 4 3 5 6 6 5 6 7 6 5 4 3 3 3 3 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 13 12 11 9 8 7 6 6 6 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 6 6 5 5 5 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 5 5 4 5 6 7 7 8 8 8 8 7 8 9 11 13 12 11 9 8 7 6 6 6 5 5 6 7 7 7 6 6 6 7 6 6 5 5 5 4 1 -4 -5 4 10 6 8 7 4 6 9 6 3 3 5 5 1 1 3 3 1 0 1 1 1 1 2 2 5 6 5 9 13 11 10 9 10 11 11 9 8 6 2 -2 -3 0 4 8 11 8 8 10 9 7 5 7 9 7 6 7 8 10 13 16 21 24 27 29 27 19 10 5 5 5 5 4 3 2 3 3 3 3 4 5 6 7 8 8 8 9 11 12 12 9 8 6 5 3 3 3 3 4 5 5 5 5 4 4 3 3 3 2 2 3 3 4 5 8 8 6 5 5 5 6 6 5 4 4 4 4 5 5 5 5 5 6 7 7 6 5 4 4 3 0 -2 1 6 7 7 6 6 5 4 4 6 6 5 4 5 5 4 3 2 2 3 4 5 6 6 6 5 5 7 8 10 10 8 7 6 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 2 -0 -1 -2 -2 -1 -0 -1 -0 -1 -1 1 2 4 4 4 4 3 2 5 11 12 9 7 5 6 10 12 8 3 3 4 5 4 4 4 4 5 5 5 6 8 10 9 9 9 10 12 13 13 10 8 7 8 8 8 7 7 5 4 2 2 5 7 7 5 5 5 4 4 4 4 3 3 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 8 10 12 12 11 9 8 7 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 3 2 2 2 3 4 3 3 3 3 3 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 5 5 7 7 8 8 8 7 7 8 10 12 13 12 11 10 8 7 7 7 6 5 5 5 6 7 8 8 7 6 6 6 6 5 5 5 4 3 0 0 3 3 4 11 9 4 4 6 7 6 2 2 4 3 2 4 4 3 4 3 2 2 2 3 3 5 7 8 11 13 11 9 7 8 11 11 9 7 6 4 2 1 3 5 8 13 10 7 8 7 9 9 11 11 8 8 11 12 12 13 17 22 24 25 25 18 9 5 4 5 5 5 4 3 3 3 3 3 3 4 6 7 8 8 8 8 8 9 11 11 11 10 9 8 6 6 6 6 5 5 5 5 5 4 3 3 3 4 3 4 4 5 4 6 7 7 6 4 3 4 6 5 5 4 4 4 5 5 5 5 5 5 6 7 7 7 6 4 4 4 3 0 -1 4 9 9 8 6 4 3 5 8 8 6 4 4 5 5 4 3 3 3 3 5 5 6 6 5 5 6 7 9 11 11 10 7 5 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 0 -1 -2 -2 1 2 2 2 1 1 3 5 5 5 5 3 1 2 7 11 11 10 7 7 11 11 9 5 5 6 5 4 4 4 5 5 5 5 5 7 9 9 9 9 11 14 17 15 11 8 7 8 8 9 8 6 4 2 1 2 5 7 6 5 5 5 5 4 4 4 4 3 4 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 6 8 11 12 12 10 9 7 8 7 7 7 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 2 2 2 3 3 4 4 3 2 2 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 5 5 5 6 7 7 8 8 7 6 7 9 11 11 11 11 9 8 7 7 7 7 6 5 5 5 7 9 9 8 7 7 6 6 6 5 4 5 5 5 8 11 5 1 5 6 4 4 6 8 6 4 3 4 4 5 6 5 5 5 5 4 4 4 4 4 5 7 11 11 8 7 6 4 6 10 9 7 6 4 4 5 8 10 13 10 10 9 5 6 5 9 12 12 9 9 11 11 11 10 11 15 19 20 21 17 10 5 4 5 6 5 4 3 3 2 2 3 3 3 4 6 7 8 8 8 7 7 7 8 9 10 10 10 10 9 9 8 8 7 6 6 5 4 3 3 3 4 4 4 4 5 4 4 5 6 6 5 4 3 4 5 5 5 5 5 5 6 6 7 6 6 5 6 7 7 6 6 5 5 4 5 3 0 -2 1 6 8 7 5 5 6 8 7 7 6 5 5 5 5 4 3 3 4 4 5 5 6 6 6 5 6 7 10 12 13 11 7 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 5 4 3 2 2 3 3 2 2 2 4 6 8 7 6 5 5 6 7 5 5 5 4 4 4 4 5 7 7 9 10 8 7 6 6 6 5 5 4 4 5 6 6 4 4 5 6 7 7 8 11 13 15 15 12 9 7 7 8 9 9 7 4 1 -0 1 3 5 5 5 4 5 5 5 5 5 5 4 4 4 4 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 3 3 4 7 10 11 11 10 10 9 9 8 8 7 6 5 4 4 4 4 4 4 4 5 4 4 4 3 3 3 2 2 2 1 2 4 5 4 3 2 2 2 2 2 2 2 2 3 4 4 4 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 7 8 8 7 7 8 9 10 9 10 10 9 8 8 8 8 8 7 5 5 5 7 8 9 9 8 8 6 6 5 5 5 5 5 4 6 9 9 5 4 5 6 5 4 6 7 5 4 5 7 8 7 5 5 6 7 6 4 4 4 5 5 6 8 8 5 5 4 4 6 7 8 7 5 4 3 8 13 13 10 8 8 9 8 5 8 8 9 10 8 9 11 10 8 8 10 13 15 16 16 11 6 5 5 5 5 5 4 3 2 2 3 3 3 3 4 5 7 7 7 7 7 7 6 6 7 8 9 9 10 10 10 9 8 7 7 6 5 4 3 4 4 5 5 5 5 4 4 4 4 5 6 7 7 5 5 5 5 6 7 7 7 7 8 8 8 7 6 6 7 7 7 5 5 6 6 5 5 3 -1 -2 2 5 6 6 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 5 5 6 5 5 5 5 7 11 13 13 9 6 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 5 5 4 2 2 4 5 6 6 5 7 8 9 9 8 7 7 6 7 6 5 5 6 5 5 2 -0 1 4 8 8 7 6 6 7 7 6 5 4 4 5 7 9 6 4 2 2 4 5 7 9 12 13 12 11 8 7 7 7 8 8 7 4 1 -0 -0 0 2 3 4 4 5 5 6 7 6 5 4 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 7 4 3 4 6 8 9 9 9 9 10 9 8 8 7 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 2 3 4 4 3 2 1 1 1 1 1 1 2 2 3 4 4 3 2 2 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 3 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 3 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 7 8 8 7 7 9 8 8 8 10 10 10 9 8 8 8 8 7 6 5 5 6 8 9 9 9 8 7 6 6 5 4 4 4 4 3 4 6 9 8 6 4 4 3 3 5 6 6 7 8 8 5 3 5 6 8 7 6 5 6 7 7 7 7 5 4 4 3 5 7 7 7 8 7 5 2 8 14 11 5 3 2 4 9 5 9 8 7 8 8 10 11 10 8 7 10 11 12 14 12 8 6 5 5 5 5 4 3 3 2 2 3 3 3 3 4 5 6 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 8 7 6 5 4 4 3 4 5 4 5 5 4 3 3 4 4 5 6 10 12 11 9 7 7 7 7 8 9 8 8 8 9 9 9 8 8 8 7 6 7 7 6 6 5 4 2 -2 -1 1 2 3 4 3 2 2 3 5 6 7 6 5 5 6 5 4 4 5 5 5 5 5 5 4 4 5 7 10 11 11 9 7 5 3 2 2 1 2 2 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 5 6 6 4 4 6 8 8 6 6 7 7 8 7 5 5 5 6 6 6 5 4 4 5 5 1 0 4 6 6 6 6 6 7 7 7 6 5 4 4 7 11 11 7 3 1 1 3 5 6 9 11 11 10 9 8 8 7 6 7 7 5 2 -0 -1 -1 -0 2 3 4 4 4 5 6 6 6 5 6 6 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 11 11 9 7 5 4 3 4 5 7 7 8 8 9 9 8 7 6 5 5 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 1 2 3 4 3 2 1 1 1 1 1 1 1 1 2 2 3 3 3 2 2 2 3 3 3 3 3 2 2 3 3 4 4 4 4 3 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 5 5 5 4 5 5 4 5 5 4 4 5 5 5 6 6 5 6 7 8 8 8 8 9 8 7 7 9 10 11 10 9 8 8 8 7 6 5 5 6 7 9 9 10 9 7 7 6 5 5 4 4 4 3 3 5 8 10 7 3 2 4 2 3 6 6 7 8 7 3 3 5 7 8 8 7 7 8 8 9 9 6 4 3 4 3 5 9 8 8 9 9 7 5 7 10 8 4 6 3 2 5 4 7 5 5 8 10 11 11 8 6 5 8 9 11 11 8 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 5 6 6 7 7 6 6 6 5 5 6 6 7 7 9 9 8 8 6 5 5 4 4 4 5 4 4 4 4 4 3 4 4 5 6 8 10 13 16 15 14 12 10 10 10 9 9 9 9 9 10 11 11 10 8 7 6 6 6 5 5 5 5 2 0 -1 -0 -1 0 2 2 2 1 2 3 5 6 6 6 5 6 5 5 5 5 5 5 5 4 4 2 2 3 4 6 8 9 9 9 8 6 4 2 2 1 1 2 3 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 3 3 3 4 6 9 9 7 7 8 7 5 4 5 5 6 6 4 4 4 4 6 7 5 3 2 5 7 5 3 5 6 6 6 6 6 6 6 6 6 5 4 4 6 11 13 9 7 6 3 2 3 4 5 8 10 11 11 11 10 8 6 5 5 3 2 -0 -1 -1 0 1 2 2 2 2 3 4 6 6 6 7 6 6 5 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 7 7 7 7 6 5 4 3 4 5 5 6 7 7 8 7 6 5 5 5 5 5 5 4 4 4 4 3 3 3 2 2 2 2 2 1 2 2 2 2 1 1 1 1 1 1 1 1 1 2 3 3 3 2 2 2 2 3 3 3 3 3 3 2 3 4 4 4 4 3 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 8 8 8 8 8 7 6 6 8 10 11 10 9 8 7 7 7 6 6 5 6 7 9 10 10 9 8 7 6 6 5 4 4 3 3 5 7 9 12 8 5 4 4 5 5 7 6 6 8 7 4 6 8 7 6 7 8 9 11 10 10 9 5 2 2 3 3 6 8 7 8 8 8 7 8 6 4 6 8 10 4 5 5 2 -0 2 7 10 11 10 8 5 3 5 7 8 10 9 6 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 6 7 7 7 6 5 5 5 5 6 6 7 8 9 8 8 7 6 5 5 5 6 5 4 4 4 3 3 3 3 4 6 7 8 9 11 14 16 17 16 16 14 13 12 12 11 11 10 9 9 10 10 9 7 5 5 4 5 6 7 6 5 5 4 1 -0 -0 1 2 2 2 2 3 3 4 4 5 5 5 5 5 5 4 5 5 4 4 3 2 1 0 -0 1 3 6 8 9 9 8 8 6 5 3 2 1 1 1 3 3 4 4 4 3 3 3 4 4 4 3 2 2 3 3 4 5 7 11 12 9 7 7 5 4 3 4 6 7 6 4 3 2 2 4 8 9 5 3 4 6 5 5 6 6 6 6 6 7 6 6 6 5 5 4 3 4 8 11 10 9 9 6 3 2 2 3 4 6 9 10 12 12 11 9 6 4 3 2 1 -0 0 1 2 1 2 2 2 2 2 3 6 7 6 6 6 5 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 4 4 6 7 7 6 4 3 3 4 5 6 6 6 7 6 5 4 4 5 4 4 3 4 4 3 3 3 3 2 2 2 2 2 1 1 1 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 7 7 8 8 7 7 6 6 6 8 10 11 10 9 8 7 7 7 6 6 5 6 7 8 10 10 9 8 7 6 5 5 5 4 3 3 6 9 11 12 8 7 5 5 6 7 6 5 6 8 8 7 9 11 7 5 5 6 9 11 11 10 7 3 -1 0 4 5 5 5 6 7 6 6 4 4 6 5 6 11 9 4 6 8 6 -0 2 9 12 12 9 5 2 3 7 8 8 9 7 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 4 5 5 5 6 7 7 6 5 4 4 5 6 6 7 8 9 8 7 7 6 6 6 6 5 5 4 3 3 3 3 3 4 4 5 6 7 7 7 9 11 12 13 14 15 14 13 13 13 13 12 9 7 7 7 6 7 6 5 6 9 11 11 10 9 8 6 4 3 1 1 2 2 2 2 3 3 3 3 3 4 4 5 5 6 5 5 5 5 5 5 4 2 -0 -3 -5 -6 -3 3 7 8 9 9 9 9 7 5 3 1 -0 -0 1 2 3 3 3 3 3 3 4 4 3 2 1 2 4 5 7 8 11 11 8 6 5 4 2 2 4 6 7 8 5 3 2 2 5 9 10 7 4 4 4 4 5 5 6 7 7 7 7 7 7 6 6 5 4 3 3 4 7 8 10 9 6 4 3 2 2 3 4 6 8 9 10 11 10 8 6 5 5 3 2 3 4 3 3 4 3 2 2 1 1 4 5 6 6 5 4 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 4 3 3 5 7 8 7 4 3 3 3 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 2 1 1 2 2 1 2 2 2 1 2 2 3 3 3 2 2 2 2 2 2 3 3 3 3 2 3 3 3 3 4 4 3 4 3 3 3 4 3 3 3 3 3 3 3 3 4 4 3 3 4 3 4 4 4 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 6 7 6 7 7 7 8 9 8 7 7 6 7 8 10 11 10 9 7 7 7 7 6 6 6 6 7 8 10 10 9 8 7 6 5 5 4 4 4 4 6 9 7 7 8 8 3 3 2 3 4 8 7 4 5 7 9 9 8 6 5 5 8 11 11 9 6 2 -2 -1 3 4 4 4 6 8 7 5 2 -0 5 7 7 8 5 6 6 8 12 8 6 9 12 11 8 4 2 3 6 6 8 9 6 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 4 5 5 5 5 7 7 7 5 4 3 4 5 6 7 8 9 8 7 7 7 7 7 6 5 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 7 7 8 7 7 8 10 11 11 11 9 8 7 9 11 10 9 12 15 16 14 11 9 6 7 6 5 3 2 2 2 2 3 3 3 3 2 2 2 2 2 5 6 5 5 5 5 6 6 5 4 0 -4 -7 -8 -4 3 7 8 9 9 10 10 9 8 5 2 -1 -2 -1 -0 1 2 2 3 3 3 3 3 2 1 2 4 4 6 8 8 7 6 6 5 3 1 1 3 5 6 6 4 2 2 4 6 8 8 7 5 5 4 4 5 5 6 8 9 10 9 9 8 7 6 5 4 4 4 3 4 5 8 10 8 6 5 4 3 3 4 5 6 6 7 8 9 8 8 8 8 8 7 6 6 6 7 6 5 4 3 2 0 1 1 3 4 4 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 2 4 5 4 2 2 4 6 7 8 5 4 3 3 4 4 4 4 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 3 2 2 2 2 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 4 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 6 5 4 4 4 4 5 6 6 6 7 7 8 8 8 8 8 9 8 8 8 9 11 10 8 7 7 7 7 6 6 6 7 7 9 10 10 10 10 8 7 6 5 4 4 5 6 6 5 2 2 7 7 1 4 1 2 5 10 10 2 1 5 7 8 8 6 5 5 8 12 12 9 5 2 1 1 3 4 3 5 8 8 7 5 2 -0 2 5 6 4 5 6 6 9 12 11 8 9 12 11 7 4 3 4 4 5 7 7 6 5 4 4 4 4 3 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 7 7 6 5 3 3 4 6 7 8 8 8 7 7 7 7 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 -0 -1 1 5 8 9 11 11 11 11 11 10 8 8 8 11 13 12 9 6 6 7 7 7 5 4 3 2 2 3 3 4 2 1 -1 -2 -2 -3 -2 2 5 6 6 6 6 7 7 9 8 5 3 -0 -3 1 5 6 6 7 8 9 10 10 10 7 4 1 -2 -3 -3 -3 -2 -0 2 3 1 1 1 1 2 4 4 5 6 6 6 5 6 7 5 2 0 3 7 6 4 4 2 3 4 5 6 7 7 6 6 6 5 5 5 5 7 10 12 12 10 9 8 7 6 5 4 4 4 3 4 6 9 11 8 6 5 5 5 5 6 5 5 4 5 6 7 8 10 10 11 10 8 8 8 8 7 8 7 5 3 0 -1 -1 -0 2 3 2 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 1 3 6 7 4 2 2 3 5 8 7 6 4 3 3 4 4 4 4 4 4 3 2 3 3 3 3 3 4 4 4 4 4 5 6 6 5 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 3 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 5 4 4 4 6 6 6 7 7 8 8 8 8 9 10 11 11 9 7 7 9 10 8 6 6 7 7 6 6 6 7 9 9 10 11 11 11 9 7 5 4 4 3 5 6 5 3 3 4 7 4 3 4 4 3 7 11 11 -0 -1 2 5 7 8 6 6 7 9 12 12 9 5 3 3 3 3 3 3 5 9 9 6 5 3 -1 -0 3 4 5 7 7 6 7 8 7 8 11 12 9 6 4 3 3 3 5 6 6 6 5 5 4 4 4 4 4 3 3 3 4 3 3 3 3 4 4 4 4 4 5 5 6 7 7 6 4 4 4 5 6 7 8 7 7 7 6 6 6 5 4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 2 2 3 3 2 1 -1 -2 -1 3 5 6 7 8 8 8 8 6 6 6 6 6 6 7 6 4 5 5 5 6 6 5 4 3 3 3 4 5 5 3 -0 -3 -5 -7 -9 -6 0 5 6 6 6 6 8 10 14 14 10 6 6 4 4 4 4 4 5 6 7 7 8 9 8 6 3 -1 -4 -8 -10 -9 -6 -2 -1 -1 1 2 3 4 5 5 5 6 7 6 6 8 7 3 1 3 8 8 5 4 4 4 4 3 4 5 6 6 7 7 7 5 4 5 6 9 12 13 11 10 9 7 7 6 5 6 5 5 5 5 7 8 8 7 6 6 6 6 6 7 6 4 4 5 6 8 9 11 11 11 10 9 9 9 8 8 9 9 6 2 1 -0 -0 1 1 1 1 -0 -1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 2 5 8 7 5 3 2 3 5 6 7 6 5 4 3 2 3 4 4 3 2 2 2 3 3 3 3 3 3 3 4 4 4 5 6 5 5 5 4 4 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 5 6 7 7 7 8 8 8 8 8 9 11 12 11 9 7 7 8 8 8 6 6 6 6 6 6 7 8 9 10 11 11 12 10 8 6 5 4 3 3 4 5 3 3 6 9 8 2 5 2 7 4 6 11 12 1 -1 -0 4 6 8 7 7 7 8 11 12 9 4 3 3 3 3 3 3 5 8 8 5 5 6 4 3 3 4 8 9 6 5 7 8 6 8 11 11 8 4 3 2 2 4 5 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 5 7 8 7 7 5 4 4 4 5 7 7 7 6 6 5 5 5 4 4 3 2 2 2 1 1 1 1 1 1 1 1 1 2 2 3 5 6 6 5 3 1 1 3 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 6 5 5 4 4 5 6 7 8 7 3 -1 -4 -6 -8 -5 0 4 5 5 6 6 9 13 16 13 8 5 4 3 2 2 1 2 2 2 3 4 5 5 6 7 5 2 -3 -9 -12 -10 -4 2 3 3 3 4 4 5 5 4 5 6 6 6 7 7 6 1 -2 4 6 4 4 5 5 4 4 3 4 5 6 7 8 7 5 4 4 6 7 9 11 11 11 10 9 8 7 7 7 6 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 8 10 11 12 11 10 10 9 9 10 12 15 15 11 8 5 3 1 1 1 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 1 2 4 6 7 8 6 5 2 2 4 5 6 6 5 4 2 2 3 3 2 1 1 2 3 3 2 2 2 2 2 2 3 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 7 7 7 8 8 8 8 9 9 10 11 11 11 8 6 6 6 7 6 6 5 5 6 6 6 8 9 10 12 12 12 11 10 8 6 5 4 3 3 5 5 3 3 5 9 9 2 6 7 9 5 6 13 12 4 2 1 3 4 6 7 7 8 9 10 10 8 5 3 3 3 3 4 3 5 9 9 5 5 8 10 8 5 5 9 9 5 3 6 7 6 8 10 9 7 4 2 2 3 4 5 7 8 6 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 4 4 5 5 4 4 5 7 8 7 6 5 4 4 4 5 5 5 5 5 4 4 4 3 3 2 1 1 0 0 -1 -0 0 1 1 1 2 2 3 4 5 6 7 8 8 7 5 4 4 5 5 4 5 5 5 4 5 5 5 6 6 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 10 12 11 8 6 3 -0 -3 -2 0 1 2 3 4 6 7 10 10 6 2 1 1 1 -0 -0 -1 -2 -2 -2 -1 -1 -0 1 4 7 7 6 4 2 2 4 6 6 5 4 4 4 4 5 5 5 6 5 5 6 7 8 5 -1 0 3 2 3 5 6 6 4 3 4 4 6 6 7 7 6 5 4 5 6 7 9 11 11 11 10 9 8 7 7 7 7 6 5 5 6 7 7 7 7 6 6 6 7 7 8 7 7 7 6 7 9 11 11 11 10 9 9 10 12 15 21 28 28 21 13 6 2 2 4 5 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 2 3 4 3 5 7 8 8 5 3 2 3 5 6 7 6 4 3 3 3 3 2 1 2 3 3 2 2 2 2 2 2 2 3 3 3 3 4 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 4 3 4 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 7 7 8 9 9 9 9 10 11 11 11 11 10 9 7 5 5 5 5 6 5 5 5 5 7 8 9 11 12 13 12 11 9 7 5 4 4 3 4 5 5 4 4 6 8 9 7 7 9 6 6 4 11 11 4 4 3 3 4 4 6 6 8 11 11 9 7 4 2 2 2 3 4 5 7 10 9 7 6 6 8 7 4 5 8 8 5 2 5 7 5 6 10 8 6 4 2 3 3 4 6 7 8 6 5 5 5 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 5 5 5 4 4 5 6 7 7 7 5 4 3 3 4 3 3 3 3 3 3 2 2 2 1 0 -0 -1 -1 -0 0 1 2 2 3 4 4 5 5 5 5 5 6 6 6 5 4 4 5 4 4 4 5 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 7 8 10 12 12 11 8 4 1 -2 -2 -2 -3 -2 -1 2 4 4 4 4 3 3 2 1 -1 -1 -2 -3 -4 -4 -3 -2 -2 1 3 6 7 9 12 12 10 8 7 7 6 6 6 5 5 6 7 6 6 6 5 4 7 10 9 6 4 3 2 3 6 9 9 6 4 3 4 6 7 7 7 6 5 4 4 5 6 8 9 11 11 10 10 10 8 6 6 7 7 6 5 5 7 8 9 9 8 7 6 6 6 6 7 6 6 6 7 8 9 11 12 10 8 8 11 13 16 22 31 39 32 18 7 3 3 5 6 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 4 3 2 3 4 7 8 8 6 4 3 3 5 6 7 6 4 3 4 5 3 2 1 2 2 2 2 2 2 2 3 2 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 4 4 4 4 4 3 4 3 4 5 5 5 5 5 5 4 5 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 7 7 8 9 9 9 10 11 12 11 10 10 9 8 7 5 4 4 4 5 5 5 5 5 7 8 9 11 13 13 13 10 8 6 5 4 3 3 3 5 4 4 6 8 7 7 9 6 7 6 11 5 4 5 3 5 5 5 6 4 5 6 8 13 11 7 6 4 2 1 1 3 6 7 7 8 8 7 5 4 5 5 4 4 6 8 7 6 7 7 5 6 9 8 6 4 3 2 2 4 6 6 7 6 4 4 4 3 3 3 3 3 4 4 3 4 4 4 3 4 4 4 4 4 5 4 4 4 5 6 7 7 5 5 4 3 3 3 2 2 2 2 2 2 2 1 0 0 -0 1 1 1 2 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 6 6 6 7 6 7 7 7 7 6 6 5 5 6 7 9 12 14 13 7 3 0 0 0 -0 -2 -3 -1 1 2 2 3 4 5 5 5 3 1 -0 -1 -1 0 2 4 5 5 6 6 6 7 8 9 8 6 5 8 8 7 6 7 8 9 7 7 8 8 7 3 4 7 7 7 5 4 3 4 7 10 12 10 5 4 4 6 7 7 7 6 5 4 4 5 6 7 9 10 11 10 10 9 8 7 6 7 8 8 7 5 6 9 10 11 10 7 6 6 6 6 6 6 6 6 6 7 8 10 11 9 7 7 9 10 13 16 21 26 26 18 8 4 6 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 2 2 2 1 1 4 6 8 8 6 4 3 3 4 4 5 5 4 6 6 4 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 10 10 10 10 11 11 11 9 9 9 7 6 4 3 3 3 4 5 5 5 6 7 8 9 11 13 13 12 10 8 6 5 4 3 3 3 5 4 4 7 8 4 4 7 4 5 13 20 9 -2 -2 3 4 6 8 10 6 5 5 7 12 10 7 4 4 2 -0 -1 4 8 8 6 6 6 5 3 4 6 5 3 3 5 8 9 10 10 7 5 8 10 8 6 5 3 2 2 4 6 5 7 6 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 3 3 2 2 2 2 2 2 2 2 1 1 2 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 5 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 5 5 5 5 5 5 6 7 10 14 18 15 7 4 4 4 5 4 2 -1 -2 -1 1 2 3 5 7 9 8 5 5 6 6 7 6 7 8 7 6 4 3 4 4 5 6 8 8 10 11 9 8 8 9 10 9 8 7 7 8 5 3 5 6 6 5 5 4 4 6 10 13 11 7 4 4 5 7 8 8 7 6 5 4 4 6 8 9 10 10 10 9 8 7 7 6 6 7 9 10 6 6 9 11 12 11 8 6 6 5 5 5 6 6 6 6 6 7 8 9 9 7 5 5 7 8 9 11 11 12 12 9 6 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 2 1 1 1 1 1 2 3 5 7 7 5 4 3 3 3 3 3 4 5 6 5 4 2 2 1 2 2 3 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 5 6 7 7 8 8 9 10 10 11 11 12 11 10 9 8 7 6 5 4 2 3 3 4 4 4 5 6 7 8 9 11 12 12 11 9 7 6 5 4 3 3 4 4 4 4 7 7 3 2 4 3 4 13 20 10 -1 -3 3 3 7 11 13 8 5 3 4 8 12 8 4 4 3 -2 -2 4 9 7 4 5 5 3 3 5 5 4 3 3 6 7 9 12 12 8 6 10 12 9 5 4 4 2 3 5 5 6 7 5 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 6 6 5 5 6 5 5 4 4 4 4 5 4 4 4 4 3 5 6 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 6 8 10 14 17 16 10 7 6 5 5 4 2 1 -1 -1 0 0 2 5 7 8 8 8 9 9 8 7 7 6 5 5 3 2 2 3 4 6 8 10 10 11 11 10 8 7 7 7 6 5 5 6 6 5 6 6 6 6 5 5 5 5 8 10 9 7 5 4 5 6 8 9 9 7 5 4 5 6 7 8 9 10 10 10 7 6 6 6 6 6 7 9 9 7 10 12 13 11 8 6 5 5 5 5 5 5 5 5 6 6 7 8 9 7 5 4 4 5 5 5 6 6 7 7 6 5 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 2 1 0 0 1 2 1 1 2 3 5 5 5 5 4 3 1 2 2 3 4 4 4 3 2 2 2 2 2 2 3 3 3 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 5 5 5 6 6 6 6 6 7 8 8 9 9 11 13 14 12 10 9 8 7 6 6 5 4 2 2 3 4 4 5 5 6 7 8 9 10 12 12 10 8 7 5 5 4 4 5 4 2 3 5 7 9 5 3 3 2 1 5 8 8 5 2 5 5 6 9 11 8 5 2 2 6 11 9 5 4 2 -2 -3 3 8 7 3 4 6 6 5 4 3 4 4 4 4 6 8 13 12 8 8 11 10 7 4 4 4 3 3 5 5 6 7 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 6 6 5 5 5 4 4 4 3 3 4 4 4 5 5 5 6 5 5 5 6 5 5 4 4 4 4 4 5 4 4 4 3 3 5 6 6 6 5 5 5 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 7 7 9 12 18 18 13 10 8 6 4 3 3 3 3 2 -1 -2 -1 1 3 4 5 7 7 7 7 6 6 5 5 6 4 2 3 5 6 7 7 7 8 8 6 5 4 3 3 4 4 5 6 6 6 6 6 5 5 5 5 5 5 6 7 7 7 6 5 4 6 7 8 9 8 7 5 5 5 5 7 8 9 10 11 10 5 5 6 6 5 6 7 7 8 10 11 12 11 9 7 6 6 6 5 4 4 5 6 6 6 6 6 8 8 7 6 4 4 5 4 4 4 5 5 5 4 4 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 4 4 3 1 0 -0 1 2 2 1 1 1 2 3 5 6 5 4 2 1 2 2 3 4 4 4 3 4 3 2 2 2 2 3 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 5 4 4 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 7 6 7 8 8 9 10 14 19 17 11 7 7 7 5 4 5 5 4 3 3 4 4 4 5 6 6 7 8 9 9 11 11 9 7 6 5 4 4 6 6 4 2 3 5 6 8 6 7 6 1 0 -0 1 5 7 7 10 10 5 5 6 8 5 2 2 6 11 10 6 5 2 -1 -0 3 5 4 3 4 8 9 9 6 5 5 4 4 4 4 7 11 10 9 10 10 8 6 4 4 4 3 2 4 5 6 7 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 6 6 5 5 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 5 4 4 3 3 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 5 5 6 6 7 8 12 17 17 15 15 13 9 6 5 6 6 5 2 0 -1 -1 1 3 4 6 6 6 5 5 6 6 6 7 6 5 5 5 6 8 8 6 4 5 4 4 3 3 4 4 4 5 5 6 6 6 6 5 5 5 5 6 6 5 4 5 6 6 4 3 4 6 7 8 9 8 6 4 4 5 6 6 8 10 11 12 8 5 7 6 5 6 6 6 7 9 10 11 11 9 8 8 8 7 6 5 4 5 6 6 6 6 6 7 8 7 6 5 6 7 6 4 4 5 5 5 5 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 3 4 3 1 1 1 1 2 2 2 1 1 0 1 3 5 6 4 3 2 2 2 3 4 5 4 3 4 4 3 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 7 7 7 7 6 5 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 7 7 8 7 7 8 9 9 13 22 25 15 8 6 5 4 2 1 2 4 4 4 5 5 5 5 5 6 6 7 8 9 9 9 9 8 7 6 5 4 5 8 6 3 1 3 6 4 5 5 9 8 3 2 3 4 4 4 7 14 13 6 4 4 6 6 4 2 5 10 11 8 5 3 1 1 2 3 2 2 5 7 6 7 8 8 6 4 5 5 3 3 6 8 11 12 9 7 5 4 4 4 4 3 4 7 8 7 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 6 5 5 5 5 4 4 5 6 7 8 10 12 14 17 18 16 13 11 9 8 8 7 5 3 3 4 6 6 6 6 7 6 6 7 6 7 6 7 7 6 6 8 10 9 6 4 5 6 5 3 3 4 4 4 5 5 5 6 6 6 6 6 5 5 6 6 6 5 5 5 5 4 3 3 4 6 7 9 8 6 5 4 5 5 5 6 8 9 10 9 7 7 6 5 5 6 5 6 7 9 10 10 10 8 8 8 9 8 7 5 5 5 6 6 6 6 6 7 8 7 7 6 7 8 10 9 7 7 6 5 5 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 2 2 1 2 2 3 3 3 3 2 1 0 1 2 4 5 4 3 3 3 3 3 4 4 4 3 4 4 4 3 3 3 2 2 2 3 3 4 4 5 6 6 5 5 5 5 6 5 4 4 4 5 6 7 7 7 7 6 5 4 4 4 4 3 3 3 3 2 3 2 3 3 3 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 5 5 5 5 5 5 6 5 5 4 4 5 5 6 6 6 6 6 7 8 8 7 9 10 10 17 29 16 -2 2 6 4 0 -2 -2 0 3 5 5 6 7 7 7 6 6 7 7 8 8 8 8 7 7 6 6 5 6 8 7 4 3 1 3 8 5 3 4 6 5 3 3 6 8 4 3 5 11 12 9 7 5 5 7 7 3 4 9 12 9 5 4 2 1 3 2 2 2 4 5 1 2 8 9 6 4 6 7 5 3 2 5 13 14 9 6 5 3 4 5 5 5 7 12 11 6 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 6 6 5 5 5 4 3 4 5 6 6 6 6 7 8 11 14 16 16 15 14 12 11 12 10 8 7 7 7 8 9 9 10 9 10 11 9 10 8 6 8 7 6 7 8 6 4 4 5 6 5 4 3 3 4 4 4 5 5 5 6 6 5 6 5 5 6 6 6 5 5 5 4 3 2 2 3 4 6 8 8 7 5 5 5 4 4 5 6 7 8 8 7 7 6 5 5 5 5 5 5 6 9 11 11 10 9 8 8 9 8 7 6 5 6 7 7 7 6 8 10 10 8 6 6 7 8 10 10 9 8 6 6 6 3 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 4 2 1 1 2 3 4 5 5 3 2 1 1 1 2 3 3 3 2 3 4 4 5 5 5 4 4 4 3 4 3 4 4 3 3 3 3 4 4 5 5 6 6 5 5 5 6 6 5 5 4 4 4 5 6 7 7 6 5 4 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 7 7 8 8 8 10 10 12 19 23 1 -13 -3 6 2 -4 -5 -3 -0 3 5 7 7 9 9 8 7 7 7 8 8 8 8 7 7 6 5 5 7 9 7 5 3 4 4 4 7 4 3 6 5 2 2 3 7 10 6 3 3 6 9 12 11 6 3 6 9 7 4 9 12 10 6 5 4 3 2 2 3 3 5 4 1 1 7 7 4 5 7 7 5 5 1 4 16 18 10 5 1 1 4 8 11 9 9 15 13 6 5 5 4 4 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 5 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 7 7 9 11 13 12 12 11 10 13 16 16 12 11 10 10 11 12 13 12 13 15 14 13 11 8 6 5 5 5 5 4 3 3 5 5 4 3 2 2 3 4 5 5 5 5 5 5 6 6 5 5 5 6 6 6 5 5 4 4 3 2 2 2 5 8 9 8 6 5 3 3 3 4 5 5 6 6 5 6 6 5 5 4 5 5 5 5 7 10 12 12 11 9 8 8 8 8 7 6 6 7 8 8 7 8 11 12 10 8 6 6 6 7 8 8 8 8 8 8 6 4 4 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 8 7 5 3 2 3 3 4 6 6 4 3 2 2 3 3 2 2 2 2 3 4 5 5 6 5 5 4 3 3 2 4 4 5 4 4 4 4 4 4 4 5 6 6 5 5 5 6 6 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 4 4 5 6 6 6 6 6 6 7 8 8 9 10 12 14 18 14 -4 -11 -4 2 -3 -7 -5 -2 1 4 7 8 9 9 9 9 8 8 8 8 8 8 8 7 6 5 5 7 10 9 6 3 2 5 7 7 6 2 3 9 11 8 7 6 7 9 7 8 7 6 8 13 13 8 4 4 7 8 6 8 10 10 7 7 7 4 1 3 4 6 7 5 3 3 6 4 3 6 8 5 4 5 2 6 18 19 11 4 -4 -4 2 11 19 14 11 15 13 6 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 5 5 4 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 3 4 4 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 9 13 16 14 13 12 11 10 9 10 10 10 11 12 11 11 8 5 4 4 4 5 4 3 3 3 3 2 1 2 1 2 3 5 5 4 4 4 5 5 6 6 5 6 6 7 6 6 5 5 4 3 3 2 2 3 5 7 9 8 5 3 3 3 3 3 4 4 4 4 4 5 4 4 4 5 5 5 4 5 9 13 14 13 12 11 9 7 7 7 7 8 8 9 9 7 6 9 11 10 8 6 6 6 6 5 5 7 7 8 8 7 7 7 6 7 nan 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 8 7 6 5 4 4 3 4 5 5 5 4 3 4 4 4 3 3 2 2 3 4 5 5 6 6 5 4 3 3 2 2 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 3 3 3 4 5 6 6 6 5 5 5 4 4 4 3 4 4 3 3 3 3 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 7 6 6 6 7 8 9 10 11 15 17 17 9 -6 -11 -5 -3 -6 -7 -3 0 4 6 9 9 8 8 9 9 9 8 8 8 9 8 7 6 5 4 6 9 9 7 5 4 4 7 9 9 5 2 4 11 15 17 17 8 3 5 5 10 10 8 9 13 14 11 8 6 6 7 8 7 8 9 8 8 7 4 2 3 6 10 9 5 3 3 5 4 2 7 8 5 5 6 6 9 17 17 10 3 -4 -6 -1 12 23 18 13 16 11 6 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 3 3 3 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 3 4 5 5 5 5 5 5 5 6 6 5 4 4 5 5 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 6 7 8 8 8 8 6 5 5 5 5 5 5 7 7 8 7 6 5 4 4 5 5 4 4 4 4 3 3 2 2 3 4 4 4 3 2 3 5 5 5 6 6 6 6 6 6 6 6 5 4 4 3 3 2 2 3 5 7 8 6 5 4 3 2 3 3 4 4 4 4 4 3 3 4 4 5 5 4 4 8 13 15 16 15 13 10 8 7 8 9 9 10 11 9 6 5 6 7 9 8 6 6 5 5 5 4 4 5 6 7 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 8 6 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 3 3 1 1 1 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 3 3 3 3 3 3 2 3 4 5 5 6 6 6 6 5 5 5 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 7 6 6 6 7 8 9 10 14 20 23 20 11 -4 -12 -9 -5 -4 -4 -1 3 5 8 9 8 8 8 8 8 9 9 9 9 9 8 7 6 4 5 9 9 6 4 4 5 7 7 7 8 8 6 6 11 13 16 19 11 -3 -3 2 5 7 7 6 8 11 13 13 10 7 8 8 7 7 7 7 6 4 3 2 3 9 12 6 5 8 3 5 5 2 5 7 9 10 13 13 9 13 18 12 3 -4 -7 1 14 22 16 13 17 12 7 6 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 4 5 4 3 3 3 4 4 4 5 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 6 6 5 4 3 3 4 5 6 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 7 6 6 6 6 6 6 5 5 4 3 3 3 4 3 3 3 3 4 4 4 6 6 7 7 7 7 6 5 5 5 4 5 5 5 5 5 4 4 4 4 4 3 2 1 1 3 5 6 6 6 7 6 6 6 6 5 6 5 4 4 3 2 2 2 3 5 6 7 6 4 3 3 3 3 3 4 4 5 4 4 3 3 4 4 5 5 5 7 12 16 17 17 15 11 9 7 8 9 10 11 10 9 7 5 5 6 6 7 6 5 4 4 5 5 5 4 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 6 6 6 5 4 3 2 3 3 3 3 4 4 5 5 5 5 4 3 3 3 3 4 5 5 4 4 3 2 1 1 2 2 3 3 3 4 4 4 3 3 4 4 3 3 4 5 5 5 4 3 2 2 2 2 3 3 3 3 4 5 4 5 5 6 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 6 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 7 7 7 6 5 7 7 7 10 13 19 26 28 27 20 4 -10 -10 -4 -0 -1 2 5 6 8 8 8 8 7 7 7 9 10 10 9 9 9 8 5 5 7 9 8 4 4 3 4 7 8 7 7 8 8 9 10 8 8 14 12 -2 -9 -3 3 9 9 5 4 6 11 14 12 10 9 8 7 6 6 5 4 3 3 3 4 9 9 2 9 14 4 4 4 3 4 7 12 17 22 19 10 15 26 18 3 -5 -6 3 15 18 12 12 18 13 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 4 4 5 5 5 5 5 5 5 4 4 5 6 6 7 7 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 6 5 5 4 3 3 3 3 4 4 4 4 3 4 4 4 5 6 6 7 7 7 7 6 5 5 5 5 5 6 6 6 6 5 5 4 4 3 2 -0 -1 1 4 5 6 6 6 7 7 7 6 5 6 6 5 5 4 3 2 2 2 3 4 6 6 5 4 3 3 3 3 3 4 4 4 4 4 4 3 4 4 5 5 7 11 16 18 18 16 12 9 8 9 10 10 11 10 9 8 7 6 6 6 6 6 5 4 4 5 5 6 6 4 3 3 3 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 6 7 6 6 6 6 5 4 3 2 2 3 4 4 5 5 5 5 5 4 4 3 2 3 5 5 4 4 4 3 2 2 2 2 2 2 2 2 3 3 3 3 4 4 3 3 3 4 5 5 4 2 1 1 1 2 2 2 3 4 4 3 2 3 4 4 5 5 5 6 6 6 6 6 5 5 4 5 5 5 4 4 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 6 6 6 5 5 5 6 6 6 6 5 6 5 5 4 4 4 4 5 4 5 5 6 7 8 6 5 6 7 7 8 13 20 24 24 23 24 19 7 -6 -7 -2 1 2 4 5 6 7 8 8 8 7 7 8 9 11 11 10 9 9 8 5 5 6 6 5 4 5 7 5 1 2 9 9 5 8 11 10 5 2 7 9 4 -6 -5 3 9 10 8 6 6 9 13 13 11 9 9 8 6 5 4 3 3 3 4 6 7 3 1 13 17 8 4 3 4 4 5 12 18 21 17 15 28 35 22 5 -4 -4 5 14 14 10 13 20 14 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 5 6 7 7 6 5 4 4 4 4 5 5 4 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 6 5 5 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 5 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 6 5 4 4 3 2 1 -0 -0 0 3 6 7 7 7 7 7 7 7 6 6 6 6 5 4 3 2 2 2 3 4 5 6 5 4 3 2 3 3 3 4 4 4 5 4 4 3 4 5 5 6 10 14 17 17 15 12 9 8 8 10 10 10 9 9 9 8 7 6 6 5 6 6 5 5 5 5 6 7 6 5 3 2 2 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 3 4 5 5 6 7 7 7 6 5 3 3 3 4 4 4 5 6 6 6 6 5 4 3 4 5 5 4 4 4 3 3 2 2 2 2 2 1 1 2 2 3 4 4 4 4 3 3 4 4 4 3 2 1 0 1 1 1 2 2 2 2 1 1 1 2 3 4 5 5 6 6 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 5 5 5 6 5 5 5 6 6 5 5 5 5 5 6 6 5 6 6 6 5 4 4 4 4 4 5 5 6 6 7 7 7 7 7 8 9 13 23 28 21 14 13 14 10 4 -3 -5 -1 2 4 5 5 5 6 7 7 8 8 8 9 10 12 13 11 9 9 7 4 3 4 3 2 2 4 9 8 1 -1 5 7 6 9 12 10 5 4 4 6 7 2 -1 2 7 9 10 10 9 10 12 13 11 9 8 8 7 6 3 3 4 3 4 8 7 2 2 11 14 9 4 2 5 3 -1 3 12 14 12 23 39 36 19 5 -2 -1 7 13 12 10 12 19 15 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 4 5 4 4 4 4 6 6 5 4 4 4 5 5 4 5 5 4 4 4 3 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 6 6 6 6 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 6 6 6 5 5 5 6 6 7 7 7 5 4 3 3 3 5 6 2 -2 1 6 6 7 7 7 7 7 7 7 7 7 7 6 5 4 2 3 3 3 3 4 5 5 6 5 3 4 3 3 4 4 4 5 5 4 4 4 4 5 6 9 12 15 16 14 11 8 8 8 8 9 9 8 8 8 7 7 6 6 6 6 7 7 6 6 7 7 8 7 6 5 3 2 2 2 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 3 3 4 4 5 6 7 7 6 6 5 5 4 4 4 4 5 6 6 6 6 6 5 6 6 5 4 3 4 4 3 3 3 3 3 2 1 1 1 1 2 3 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 1 2 1 1 -0 -1 0 1 2 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 5 6 6 7 8 8 7 8 10 11 13 21 30 26 12 5 8 9 3 -1 -2 -1 3 4 5 5 5 4 5 6 7 8 8 9 10 11 13 14 12 9 5 2 1 1 2 2 3 3 2 4 6 8 8 5 5 9 12 10 8 6 6 6 7 8 8 7 8 11 12 11 13 12 11 12 10 8 9 12 11 8 5 2 3 5 5 5 9 8 3 2 6 8 8 4 1 2 -0 -7 -9 -2 8 13 29 42 33 15 4 -1 2 7 10 11 10 12 19 16 6 5 6 5 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 3 3 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 7 6 6 5 4 3 4 4 4 4 4 4 3 3 3 4 3 3 3 4 4 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 4 3 3 5 10 13 7 1 2 5 6 6 6 6 7 7 7 7 7 7 8 8 8 6 2 3 3 4 4 4 6 5 5 6 6 5 4 4 4 4 4 4 5 5 4 3 3 4 6 8 10 13 14 13 10 9 8 7 7 8 8 8 8 7 6 5 5 6 7 7 7 7 7 7 8 9 9 10 8 6 5 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 3 3 3 3 4 5 6 6 7 7 6 5 4 4 4 5 6 6 7 7 7 8 7 6 5 4 4 4 4 5 5 5 5 4 3 2 2 1 1 2 2 3 4 4 4 5 6 5 5 4 3 2 1 1 0 -0 0 0 1 1 0 0 -0 -0 0 1 2 4 4 4 5 5 5 5 6 6 6 5 5 6 6 6 5 6 5 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 5 5 5 5 5 4 5 5 5 6 8 9 9 9 10 13 15 18 23 26 17 5 2 6 7 0 -5 0 4 4 4 4 4 4 5 6 7 7 8 9 10 11 13 15 16 13 8 3 0 -1 -0 3 1 3 6 3 4 5 4 5 7 10 12 10 7 6 4 5 9 11 10 11 13 15 13 11 12 13 14 14 14 7 1 10 19 17 10 5 3 5 6 6 7 9 8 4 2 4 7 9 6 0 -2 -2 -3 -9 -6 5 15 29 37 28 14 5 2 3 4 7 9 10 14 19 15 7 5 6 5 4 4 4 4 4 5 5 4 4 5 5 5 5 4 4 4 4 4 3 4 5 5 4 5 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 4 3 3 4 5 5 5 6 6 5 6 6 5 4 3 3 5 6 11 14 9 4 4 4 5 5 5 5 6 6 7 7 7 8 8 9 9 10 5 2 3 4 4 4 7 6 4 6 7 6 6 5 5 5 4 4 4 5 5 4 3 4 5 7 8 11 13 13 12 10 8 7 7 7 6 7 7 6 6 5 6 6 6 6 7 8 8 8 9 10 12 13 10 7 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 4 3 4 5 6 7 8 8 8 8 7 5 5 4 4 4 5 6 6 6 6 5 4 3 2 2 2 2 3 3 3 4 5 6 6 7 6 5 4 3 2 1 1 0 0 0 1 2 1 1 1 1 1 1 2 2 3 3 4 4 5 6 5 5 5 6 6 5 5 5 5 4 3 3 3 3 3 3 3 4 4 3 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 6 7 9 11 10 10 12 14 15 17 18 17 10 2 2 5 6 3 0 2 4 4 3 3 3 3 5 6 7 8 9 10 11 12 14 17 17 13 7 5 2 -1 0 4 1 4 10 5 7 10 6 3 7 10 9 5 5 4 1 3 10 13 12 13 14 14 10 8 9 10 13 18 18 6 -5 6 21 21 12 6 5 7 7 5 4 6 5 4 4 4 8 11 9 2 -4 -3 3 4 6 8 16 27 30 22 13 7 3 1 2 5 9 10 13 18 14 7 5 6 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 3 4 5 5 5 5 4 4 4 4 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 5 5 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 5 6 6 6 6 6 6 6 4 4 5 6 8 8 8 10 10 5 4 4 3 3 4 4 5 5 5 6 6 7 8 8 9 12 9 3 4 5 5 4 4 5 4 5 6 7 7 6 6 6 5 4 4 4 5 4 3 3 4 6 8 10 12 13 13 12 10 9 8 7 5 5 6 5 5 5 5 6 6 6 7 7 7 8 9 11 14 14 12 10 7 6 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 5 5 5 5 6 6 5 6 5 6 6 6 6 5 3 3 4 5 6 7 8 7 7 6 5 5 4 3 3 4 5 6 6 6 5 5 5 4 4 3 3 3 2 2 3 4 5 6 8 7 6 5 4 3 3 3 2 1 1 2 3 3 3 2 1 1 1 1 2 3 3 3 3 4 5 5 5 5 5 5 4 4 4 3 3 2 2 2 2 3 3 3 4 4 4 3 4 4 5 5 5 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 6 6 7 11 13 11 10 11 11 11 12 13 13 8 3 2 4 5 6 5 3 4 4 3 2 2 3 5 6 8 10 12 12 13 13 15 19 18 12 7 5 1 -2 1 5 1 2 10 9 9 12 10 7 6 6 3 1 5 4 0 1 8 11 12 13 13 11 8 7 7 6 9 18 22 10 -4 3 18 20 12 6 5 6 6 4 2 3 4 5 6 6 8 11 10 5 -2 -2 5 16 20 14 17 24 24 17 11 6 2 0 1 5 8 10 14 20 14 6 5 6 5 5 4 4 4 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 2 2 3 4 5 5 5 5 5 5 5 5 4 4 3 4 5 5 5 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 3 2 2 2 3 4 5 6 6 7 6 6 6 7 7 5 5 7 9 10 8 5 5 8 7 4 3 2 2 2 3 3 4 4 5 5 5 6 7 8 10 10 7 7 7 6 4 3 3 3 3 4 5 7 7 6 5 6 5 4 4 4 5 4 3 3 5 7 9 10 13 15 14 13 11 9 7 5 5 5 5 5 6 6 5 6 6 7 7 6 7 9 11 13 15 15 13 10 8 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 6 5 5 5 5 5 5 5 6 6 7 7 7 6 5 4 3 4 5 6 6 6 5 5 6 6 5 4 3 3 3 4 5 5 5 5 6 5 4 4 4 3 3 3 3 3 4 5 7 8 7 6 5 5 6 5 4 3 3 4 5 5 4 3 1 1 1 1 2 2 2 2 3 3 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 3 3 4 3 4 4 3 4 4 4 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 8 12 13 10 8 8 8 9 11 12 14 11 5 3 4 4 6 5 3 3 2 2 2 2 3 4 7 9 11 13 14 14 15 18 20 18 12 8 5 2 1 4 5 3 3 7 11 10 6 3 4 4 3 1 2 8 5 -1 -1 3 7 9 10 10 9 8 7 5 3 4 14 23 18 4 5 16 17 9 4 4 5 5 4 4 6 5 4 8 8 7 8 8 6 1 -2 3 18 25 17 17 16 11 7 7 3 1 2 4 5 8 11 14 18 12 5 5 6 6 5 5 4 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 2 2 3 4 5 5 6 6 6 6 6 6 5 4 4 4 4 4 5 4 4 3 3 3 4 4 4 4 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 2 0 -0 1 3 4 6 8 8 7 6 5 6 7 7 7 7 9 12 12 8 5 3 4 5 4 3 2 1 2 2 3 3 3 3 3 4 4 5 6 7 8 8 8 8 8 7 5 4 3 2 2 3 5 6 6 5 5 6 6 4 4 5 5 4 3 4 6 8 10 12 14 16 15 13 10 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 7 9 10 12 15 15 13 11 9 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 5 5 4 4 4 4 4 5 5 6 7 8 8 7 7 5 4 3 3 3 4 4 4 5 6 6 6 5 3 2 2 2 2 3 4 5 5 5 5 4 4 3 3 3 4 3 4 4 5 7 8 8 8 7 6 5 5 5 5 6 7 7 5 4 2 1 1 1 1 1 1 1 2 3 3 3 3 3 3 4 4 3 3 3 3 3 2 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 8 10 13 12 8 6 7 7 9 12 14 15 12 5 2 3 3 3 3 3 3 2 3 3 3 4 5 7 9 12 14 14 15 18 21 20 17 12 8 5 4 4 3 3 3 5 8 9 7 5 3 1 -0 3 5 7 8 1 -5 -4 -0 4 6 4 3 6 8 8 6 3 3 9 20 22 12 9 15 12 3 2 6 6 4 3 8 12 8 6 10 9 6 7 7 5 2 -3 -3 11 23 20 13 5 -3 0 4 2 4 9 8 7 9 11 12 15 12 5 5 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 2 2 2 4 5 5 5 5 5 6 6 6 6 6 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 4 4 5 5 6 6 7 6 6 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 0 -1 -1 -0 2 5 6 7 8 7 6 5 5 6 6 6 7 10 13 11 8 6 5 4 4 4 2 2 1 2 2 2 2 2 3 3 3 3 3 4 4 5 6 7 8 9 9 8 6 4 3 2 2 3 4 5 5 5 6 6 5 4 5 5 4 3 3 5 7 8 11 12 14 14 12 10 8 7 6 6 5 5 4 4 4 4 5 5 5 5 6 7 8 8 9 12 14 14 14 13 11 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 3 3 3 3 3 3 3 3 4 5 6 6 7 8 8 7 5 4 2 2 2 2 3 5 5 6 7 7 6 4 2 2 1 2 3 4 5 5 5 4 4 4 3 4 4 5 4 4 4 6 9 10 10 8 5 4 4 5 6 6 8 8 7 5 4 2 2 1 1 1 0 0 1 2 3 3 3 3 3 3 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 6 6 7 10 13 13 11 8 6 6 7 9 12 15 14 8 2 0 2 2 2 3 4 3 3 3 4 4 5 6 7 9 12 14 16 17 19 20 18 14 11 7 5 3 2 2 2 2 4 6 6 5 6 6 3 2 7 8 6 -0 -6 -6 -2 2 5 5 1 -1 1 4 7 8 6 4 7 16 20 16 11 12 6 -2 2 8 7 1 0 9 14 10 7 9 9 6 7 7 6 6 4 -1 10 24 20 9 -2 -9 -1 5 5 10 14 11 9 10 10 12 16 13 6 5 6 6 6 5 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 4 4 3 3 4 4 4 5 5 5 6 6 6 6 5 4 4 4 4 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 3 2 3 4 5 5 5 5 4 4 5 5 6 6 6 5 4 3 3 4 4 4 4 3 3 4 4 4 5 5 5 5 5 4 5 5 5 6 6 6 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 4 4 5 5 5 5 4 3 3 3 2 2 2 1 -0 -2 -2 -1 3 5 5 6 8 7 6 5 5 6 5 5 6 10 13 12 9 8 7 6 5 4 3 3 2 2 2 2 1 2 2 2 3 3 3 2 3 3 4 5 7 8 10 10 9 6 5 3 2 2 3 4 4 5 6 6 5 5 5 5 4 3 2 3 5 7 10 11 11 11 11 9 7 6 6 6 6 5 5 3 3 4 4 5 5 5 6 6 7 7 7 9 10 11 12 15 14 10 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 6 7 8 8 7 6 3 2 2 2 2 3 4 5 6 7 7 6 5 3 2 2 2 3 4 4 4 5 4 4 4 5 6 6 4 4 5 6 8 11 11 8 5 4 4 5 5 6 7 8 8 7 6 4 3 3 2 2 1 0 0 1 2 3 3 3 3 3 3 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 6 6 6 8 13 14 11 9 7 7 6 7 9 12 15 12 3 -0 -0 1 1 2 4 4 4 4 5 6 6 7 8 8 9 12 14 16 18 17 17 14 11 8 5 4 1 -1 1 3 2 2 2 1 2 6 7 5 5 8 7 3 -5 -5 0 6 9 8 6 1 -2 -1 -0 3 7 8 6 7 12 17 15 10 8 1 -4 5 11 6 1 1 6 9 8 6 6 6 6 8 8 6 14 21 11 16 26 20 7 -4 -6 5 11 13 17 17 13 10 10 10 11 15 14 6 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 4 3 3 4 4 5 5 4 5 5 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 4 4 3 4 4 4 4 4 4 3 2 3 6 6 6 5 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 6 5 6 5 5 6 5 4 4 3 3 2 2 2 0 -1 -1 -1 2 4 4 5 6 7 7 6 5 5 5 5 5 6 9 12 14 11 7 8 7 5 4 4 4 4 4 3 3 3 3 2 1 2 2 2 2 2 3 3 3 4 6 9 10 10 8 7 5 3 3 3 3 4 3 4 5 6 6 5 5 5 3 2 2 3 6 8 10 12 13 11 8 6 5 4 5 6 6 5 5 4 3 4 5 5 5 5 6 6 7 6 6 7 7 8 11 14 14 12 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 4 6 7 8 8 6 5 3 3 2 2 3 3 4 5 6 7 8 8 5 4 3 2 2 2 2 3 4 4 5 6 8 7 6 4 4 5 6 9 11 11 7 5 4 4 4 4 5 6 7 7 7 6 5 5 5 4 3 2 1 -0 0 2 3 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 2 3 3 3 4 3 4 4 4 3 4 3 3 3 4 4 4 4 4 4 5 6 6 6 7 12 12 9 8 7 7 7 6 8 10 14 10 2 0 1 1 1 3 4 4 4 5 6 7 7 7 9 10 10 11 14 17 17 15 13 10 8 6 5 1 -0 1 2 4 5 5 1 -2 0 4 5 5 6 5 4 3 1 4 9 12 11 10 7 2 -1 -3 -3 -0 3 5 4 5 10 15 15 12 7 1 -1 9 13 5 1 0 2 4 5 4 3 4 6 8 7 4 18 29 16 16 24 19 6 -5 -0 16 21 20 20 17 12 10 10 10 11 13 13 7 4 6 7 7 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 5 6 6 5 5 5 5 6 6 6 6 5 5 5 5 4 4 3 3 4 3 4 4 4 4 3 3 5 7 7 5 4 4 3 4 4 3 3 3 2 2 3 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 5 5 4 5 6 7 8 8 8 7 7 7 6 6 6 5 5 4 3 3 3 3 3 1 0 1 4 7 5 4 4 5 5 6 5 5 5 6 6 5 5 7 11 14 10 4 4 6 6 6 6 6 5 6 6 6 6 5 3 2 1 2 2 2 3 2 2 2 3 4 7 9 10 10 8 6 4 3 3 3 3 3 3 4 5 6 6 6 5 4 3 2 2 4 6 9 13 15 13 10 7 5 4 4 5 6 6 6 5 4 4 5 5 4 4 5 6 6 6 6 6 6 6 8 11 15 15 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 3 2 2 1 1 2 2 2 3 2 2 2 1 2 3 4 5 6 7 7 6 5 4 3 3 3 3 3 4 5 6 8 9 9 8 5 3 2 2 2 2 2 3 5 9 10 9 6 4 4 5 6 8 9 9 6 4 3 4 4 4 5 6 6 6 6 5 6 5 5 6 5 4 2 1 0 1 3 4 4 3 3 3 2 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 5 6 6 7 6 5 9 11 9 9 8 8 7 7 7 9 12 9 3 1 2 2 2 4 4 4 4 5 6 7 7 8 12 13 12 11 14 18 16 12 9 7 3 5 3 -2 -1 5 6 5 7 8 4 1 2 2 2 3 0 -3 2 6 8 11 11 10 7 6 6 4 0 -5 -5 -3 -1 0 2 3 8 14 16 16 10 5 6 12 11 4 -1 -3 -1 2 4 3 3 4 5 5 5 7 13 15 10 13 22 18 4 -4 5 23 27 22 19 14 10 9 10 10 10 12 13 8 5 6 7 7 6 5 5 4 4 5 5 4 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 6 6 5 5 4 4 3 3 3 4 4 5 5 4 3 4 6 8 7 5 4 4 4 3 4 3 4 3 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 8 9 11 10 10 10 10 9 8 7 6 6 5 4 4 1 -0 1 3 1 -0 2 7 10 7 4 3 4 4 5 5 6 7 8 7 6 6 7 10 13 10 4 2 4 5 7 8 7 7 8 9 10 11 9 6 3 1 1 2 3 3 3 3 3 3 4 5 8 10 11 10 8 6 4 3 3 3 4 3 3 5 6 7 7 6 4 3 2 2 3 4 7 11 14 15 12 6 5 6 6 6 7 7 8 8 6 6 6 5 5 4 4 5 5 5 5 6 6 6 7 9 12 15 18 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 5 6 6 5 4 3 3 4 5 6 6 5 4 3 2 2 3 5 6 6 7 6 5 5 4 3 3 3 3 3 4 5 7 9 11 10 8 6 4 3 3 2 2 3 5 9 10 9 6 5 5 5 6 7 7 7 6 4 4 4 4 5 5 6 6 5 4 4 4 5 5 6 7 6 5 3 2 1 3 4 4 3 3 3 2 2 2 2 2 2 4 5 4 3 3 2 2 2 2 2 2 3 3 4 4 3 3 3 3 3 4 4 4 3 4 5 6 7 6 5 5 7 11 12 11 10 8 8 8 7 8 7 4 3 2 3 3 3 4 4 4 5 5 6 7 8 10 13 14 11 10 14 19 16 9 6 5 2 3 2 -4 -1 5 8 8 7 8 7 5 5 3 1 1 0 2 9 9 8 9 9 6 2 2 4 4 1 -3 -5 -4 -4 -2 1 2 7 14 20 21 15 9 10 10 6 2 -4 -5 1 9 10 3 1 5 5 1 4 10 8 2 5 15 23 17 4 -2 8 22 24 20 15 10 8 9 10 9 10 13 15 10 5 6 7 7 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 6 5 5 5 5 4 4 3 3 3 4 5 5 6 6 5 4 4 6 7 6 4 4 5 5 5 4 4 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 5 5 6 8 9 10 11 12 13 12 12 11 10 8 7 6 5 4 3 -0 -4 -2 2 2 0 2 6 9 7 4 3 3 4 5 6 6 7 8 8 7 8 8 9 11 10 5 4 4 4 6 7 8 8 9 11 13 15 14 9 5 3 3 3 5 5 5 4 4 3 3 4 6 9 11 12 11 8 5 3 3 3 3 3 3 5 6 7 7 7 5 3 2 2 1 2 4 7 10 13 11 8 7 7 8 8 9 9 10 10 9 7 6 6 5 5 5 5 5 5 5 6 7 7 7 8 9 12 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 7 10 10 8 6 6 6 6 7 8 10 10 9 7 4 3 3 4 5 6 6 6 6 5 4 3 3 3 3 3 4 5 6 8 10 11 9 7 6 5 5 5 4 5 5 7 8 8 6 5 6 5 6 6 6 6 5 5 5 5 5 6 7 7 6 5 4 4 4 5 5 6 7 8 8 5 3 3 3 3 3 3 3 3 3 2 2 2 2 3 5 6 5 3 3 2 2 2 2 2 2 2 3 3 3 4 3 3 3 3 3 3 3 3 4 6 7 6 5 4 4 5 12 16 12 10 9 8 8 9 6 2 1 2 3 3 4 4 5 5 5 5 5 6 8 10 12 13 11 9 10 15 20 16 8 3 3 3 2 2 3 4 2 3 6 5 5 5 5 4 4 3 4 11 20 21 12 6 7 8 4 0 -1 3 5 4 0 -1 -3 -3 -2 0 3 9 16 23 23 14 7 7 5 1 -0 -7 -12 -0 17 16 2 -3 4 2 -5 -1 7 8 4 7 18 25 19 4 -0 9 18 19 16 12 7 7 8 9 8 10 13 12 7 5 7 7 7 7 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 4 3 3 4 4 4 5 7 7 7 5 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 6 6 5 5 6 6 6 7 8 9 10 11 12 14 15 15 14 12 11 9 7 6 4 4 4 2 0 -0 2 4 3 3 6 7 6 3 3 5 5 5 6 6 6 6 7 8 8 8 9 9 8 5 5 5 5 6 7 8 9 9 11 14 16 15 11 7 5 5 6 7 8 7 5 4 4 3 3 5 7 9 12 12 9 7 5 4 3 3 3 3 5 6 6 6 6 5 4 3 2 2 2 2 2 4 8 9 9 9 8 8 8 9 10 11 12 11 10 9 8 7 5 5 6 6 6 6 6 6 7 8 8 9 11 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 10 10 9 7 6 6 6 7 8 10 11 11 10 7 5 3 3 4 4 4 5 5 4 4 3 3 3 3 4 5 6 6 7 8 9 7 6 5 6 7 8 7 6 7 7 7 7 6 5 6 6 5 5 6 6 6 6 5 6 7 7 8 8 8 7 5 5 5 5 5 6 6 8 7 7 5 4 4 3 3 3 3 4 4 3 2 2 2 4 7 6 5 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 3 3 4 6 6 5 4 4 4 6 15 18 12 11 10 8 9 11 4 -2 1 3 3 3 4 4 5 5 6 6 5 7 10 12 12 11 9 8 12 18 20 15 7 3 2 1 -1 3 8 2 -0 3 5 2 1 1 3 4 6 8 9 13 16 15 11 8 9 9 6 2 -1 3 6 5 3 3 1 -1 -2 -0 5 13 18 17 13 5 -0 2 1 -1 -0 -9 -18 -7 12 13 1 -6 -1 -4 -8 -1 7 11 8 11 21 26 19 5 2 10 17 17 14 9 6 7 9 8 7 10 11 8 5 6 7 8 7 7 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 3 4 3 4 4 4 4 4 4 3 4 3 3 3 3 4 5 5 5 5 5 4 4 3 3 4 4 5 5 6 7 6 5 4 4 4 5 5 5 6 6 6 6 6 5 5 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 7 7 6 6 6 6 7 8 9 10 10 10 11 12 13 15 16 16 15 13 11 9 7 5 5 5 6 7 6 3 3 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 5 6 6 7 7 7 6 5 5 6 6 7 8 9 8 9 12 13 12 10 8 6 7 8 10 10 9 9 7 5 4 3 4 6 7 10 12 11 9 7 5 4 3 3 4 4 5 5 5 5 5 5 4 3 3 3 3 2 2 3 4 6 8 7 6 6 7 9 10 12 13 13 12 11 9 6 5 5 7 7 8 6 6 7 7 8 9 10 11 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 7 7 7 6 5 5 5 5 6 7 9 10 11 10 7 5 4 4 3 3 3 3 3 3 3 2 2 3 4 5 5 6 7 7 8 7 5 4 5 7 7 7 7 8 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 8 9 8 8 8 7 7 7 7 6 6 6 6 7 7 6 6 5 4 3 3 4 4 4 4 3 3 3 5 6 5 4 3 3 3 3 2 2 1 1 1 1 2 2 2 3 3 3 3 4 4 4 4 4 5 5 4 4 3 4 8 16 17 13 11 11 11 11 10 1 -2 1 3 3 4 4 4 4 5 6 6 6 9 14 13 8 7 8 10 14 19 20 14 8 4 1 -1 -2 3 6 -1 2 5 4 1 -2 -1 2 4 7 10 9 5 -1 -3 4 9 10 9 7 3 0 1 3 3 3 2 2 1 -2 -2 5 15 16 10 4 -4 -5 1 1 -2 -2 -6 -14 -8 3 5 1 -4 -5 -3 1 7 12 11 10 14 23 24 17 5 3 11 16 15 11 8 7 7 7 6 6 9 10 9 6 5 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 5 5 4 5 5 5 6 6 7 7 6 6 6 5 6 6 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 11 12 13 15 15 15 14 13 11 8 6 5 5 6 7 9 6 4 4 4 5 5 3 1 2 4 5 5 5 6 6 6 5 4 3 3 4 4 4 5 5 6 7 7 6 6 7 8 8 7 7 8 9 9 8 8 7 8 10 11 12 13 13 11 8 5 4 4 4 6 8 10 11 10 9 7 5 4 3 3 4 5 5 4 4 3 4 4 4 4 4 4 3 3 2 2 3 5 5 5 5 6 7 8 10 12 14 15 14 11 8 6 6 6 7 7 7 7 7 7 8 8 8 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 5 5 5 5 4 4 4 4 4 5 7 9 9 9 8 6 6 5 4 3 3 3 3 3 3 2 3 4 5 5 5 6 6 7 7 5 4 4 5 6 6 7 8 8 7 5 5 4 4 5 4 5 5 6 6 5 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 5 4 4 4 4 5 5 4 4 4 6 5 4 4 3 2 2 2 2 2 2 1 1 1 2 2 2 2 3 3 4 4 4 5 5 5 5 5 4 3 3 5 10 17 18 13 11 12 14 12 5 -3 -2 1 3 3 3 3 3 4 5 6 6 7 11 15 12 7 6 8 12 16 20 19 12 6 4 0 -1 1 4 4 4 6 5 2 -1 -3 -1 3 6 10 12 10 4 -3 -3 4 9 9 7 5 3 0 -1 1 1 2 -1 1 3 -0 -1 5 13 14 9 3 -4 -5 3 6 -0 -2 -2 -5 -3 -1 -3 -2 -0 -1 2 7 12 13 10 11 16 22 21 14 6 4 11 14 13 10 8 8 7 6 4 6 9 9 8 7 7 9 9 7 7 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 3 4 5 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 4 5 5 4 4 4 5 6 6 6 5 5 6 6 5 5 6 6 7 7 6 6 6 6 6 5 6 5 5 5 5 5 5 5 6 6 5 5 6 6 5 6 6 6 7 7 7 7 7 7 7 8 8 9 11 12 12 13 12 11 11 12 12 13 14 14 13 12 10 9 7 5 4 4 5 6 5 4 3 4 5 5 5 4 -1 -4 0 4 5 5 5 6 6 6 5 4 4 4 4 4 4 5 6 7 7 7 6 6 6 7 7 7 6 6 6 7 7 8 9 9 9 11 14 17 15 10 6 5 4 4 4 6 7 9 9 9 7 6 5 4 4 5 6 5 4 4 3 3 4 4 5 5 4 4 3 3 2 2 3 4 5 5 4 5 6 7 9 12 13 14 14 12 9 7 6 6 8 8 7 6 7 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 3 3 3 3 4 4 4 4 4 4 5 6 7 8 8 8 8 8 7 6 5 4 4 4 4 4 5 7 8 6 5 5 6 6 7 7 6 5 4 4 5 7 8 8 7 5 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 5 5 4 5 5 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 3 4 5 5 5 5 6 5 3 3 5 7 13 19 18 12 10 11 13 8 0 -3 -4 1 3 2 2 3 3 4 5 6 6 8 12 13 10 7 6 8 13 18 21 18 9 5 3 -1 2 6 5 2 5 4 4 2 -0 -1 1 6 9 16 17 11 6 6 8 10 10 7 4 2 1 -0 -0 -0 -1 0 0 2 4 3 2 5 12 15 13 8 2 -1 6 12 6 1 1 2 4 5 -1 -1 3 4 4 4 8 10 10 10 12 16 17 12 6 5 11 14 12 9 8 8 7 4 3 7 9 7 6 7 9 10 10 7 6 6 6 6 7 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 4 5 5 4 3 4 4 5 6 6 6 7 7 6 6 5 6 7 7 7 7 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 6 5 6 6 6 6 6 6 7 7 7 7 8 8 9 9 10 11 13 13 14 13 12 11 11 11 12 12 12 11 10 9 8 7 6 3 1 0 1 2 2 3 4 4 5 5 5 4 1 -3 1 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 4 5 7 8 6 5 6 6 6 7 7 7 6 8 13 16 16 12 8 6 5 4 5 5 5 6 7 8 8 7 6 5 6 6 6 6 5 4 4 4 4 5 5 5 6 5 4 3 3 3 2 3 4 5 4 4 5 6 7 8 10 12 14 14 11 9 7 7 8 8 7 6 7 6 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 6 8 10 10 10 9 8 8 8 10 11 11 12 12 9 5 4 5 5 6 7 7 7 6 5 5 6 8 8 7 5 5 4 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 5 5 4 4 5 5 4 5 5 4 3 2 2 2 1 2 2 2 2 2 3 3 3 3 2 2 3 2 3 3 5 5 5 5 5 5 4 3 5 8 12 18 22 17 10 8 8 8 1 -2 -2 -3 1 2 2 3 3 3 3 5 6 6 8 10 10 8 6 5 8 13 18 21 16 7 5 6 2 3 6 5 4 3 3 4 3 2 3 4 7 11 16 14 8 7 8 10 10 8 5 1 -1 -0 0 1 1 -0 1 4 5 6 7 5 6 11 17 17 14 8 4 8 13 10 4 1 3 9 18 13 5 4 3 1 2 7 10 9 6 5 11 16 11 6 7 11 14 12 9 8 7 6 3 4 8 9 6 5 6 10 13 11 7 5 6 6 7 7 7 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 4 3 3 3 3 4 4 5 5 5 4 3 4 4 5 5 6 7 8 7 6 5 5 6 6 7 7 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 7 7 7 7 7 8 8 9 10 12 13 14 13 13 12 11 10 10 10 10 10 10 9 8 8 7 7 5 2 -3 -4 -1 2 4 5 5 4 5 5 5 6 3 -2 1 5 5 5 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 7 7 4 3 6 8 7 6 5 5 5 5 6 5 4 6 10 14 15 13 10 8 6 6 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 5 5 4 4 3 3 3 3 4 4 4 5 5 6 7 8 9 11 12 12 10 8 7 8 8 7 6 7 6 6 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 3 3 2 2 2 2 3 3 4 4 3 2 2 2 4 5 8 10 11 11 11 10 13 16 16 15 15 13 9 6 4 5 5 5 6 10 14 14 11 8 8 8 7 6 5 4 4 4 4 3 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 4 5 5 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 4 3 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 5 3 3 8 14 20 25 22 13 7 6 5 1 -7 -6 -2 -0 2 2 2 3 4 3 4 5 6 7 8 8 8 8 6 6 9 12 15 17 13 4 3 8 6 4 4 6 4 1 3 5 6 5 4 4 6 9 9 4 4 6 7 7 7 5 2 -1 -2 -1 1 2 3 3 4 7 9 11 10 10 11 14 19 20 16 11 8 8 9 9 7 2 -2 4 14 16 8 3 1 0 4 9 10 8 3 6 17 20 11 6 7 12 14 13 9 7 6 5 4 5 8 8 6 5 6 10 15 14 7 4 6 7 7 8 7 6 5 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 4 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 5 6 6 6 6 5 4 4 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 6 6 5 5 5 6 6 6 6 7 7 7 8 8 9 9 10 11 13 13 13 12 11 10 9 9 9 9 8 8 8 7 8 8 8 8 6 3 -0 -1 2 5 5 6 5 5 5 5 5 5 5 -2 -2 5 6 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 6 7 5 3 4 7 8 7 5 4 4 5 5 5 5 6 8 11 13 13 12 10 8 7 6 6 7 5 4 4 4 4 4 5 6 5 5 6 6 6 5 5 5 5 5 5 5 6 5 5 5 4 3 3 2 3 4 4 4 4 5 6 7 8 9 10 11 10 8 6 6 6 6 6 6 6 6 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 5 6 5 3 3 2 2 2 3 3 3 3 3 3 3 3 4 6 8 10 10 10 10 14 17 15 11 10 10 9 6 5 4 5 4 6 12 19 20 15 10 8 8 7 5 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 6 6 5 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 1 -0 0 1 2 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 5 5 6 6 7 6 3 3 7 13 20 26 29 19 8 4 4 3 -4 -11 -8 -2 1 2 2 3 3 4 4 4 6 7 8 8 8 8 10 10 9 10 11 11 12 9 2 2 7 7 5 5 4 2 2 3 6 7 6 4 4 5 4 2 3 8 9 7 6 4 2 -0 -3 -3 -1 3 6 6 6 7 10 12 14 13 14 16 14 23 24 15 9 7 6 6 7 10 7 -5 -6 -4 2 7 8 7 6 4 5 6 7 8 16 27 24 12 6 8 12 14 14 10 7 6 5 5 7 7 6 5 5 7 12 17 13 6 4 6 7 8 8 7 6 5 5 5 4 4 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 3 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 5 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 7 8 8 9 9 10 10 11 12 12 12 11 9 8 8 7 7 7 6 6 6 6 8 8 9 8 8 7 5 4 5 6 6 5 5 5 5 5 5 5 4 2 0 4 5 5 5 6 6 6 5 4 4 5 5 5 5 6 5 5 5 6 7 6 3 1 3 6 7 8 6 4 4 5 5 6 6 6 7 9 11 12 12 12 9 7 7 7 8 6 5 4 3 3 3 4 4 4 5 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 3 3 3 3 3 3 3 4 5 6 7 8 9 11 11 8 5 4 5 5 5 5 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 8 8 7 6 5 5 4 4 4 3 3 3 3 3 4 4 5 6 7 9 8 8 8 11 13 11 5 4 6 7 6 5 5 5 4 6 12 18 17 12 6 5 6 7 6 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 3 4 5 5 4 3 1 1 2 4 4 4 4 3 2 2 2 3 3 3 3 3 4 4 4 4 6 6 7 7 7 5 2 4 11 18 22 24 24 16 7 6 8 3 -7 -12 -7 -1 1 2 3 3 4 4 4 6 7 7 7 8 9 11 13 13 10 11 13 11 10 8 3 3 5 7 6 5 1 1 4 5 6 6 5 4 5 5 3 3 11 17 13 7 5 2 -1 -4 -5 -3 0 5 8 9 8 10 13 15 14 11 12 12 11 23 24 11 5 4 5 5 6 11 11 3 -1 -2 1 9 12 13 10 5 7 11 12 16 25 30 23 11 6 8 13 14 13 11 8 6 6 6 7 6 6 5 6 9 15 17 10 4 4 6 7 8 7 7 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 5 5 4 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 10 10 10 11 11 11 10 9 8 7 7 7 7 7 6 5 5 5 6 7 7 7 7 8 7 7 6 6 6 5 5 5 5 5 5 5 4 2 1 4 5 5 5 5 5 6 6 5 4 4 4 4 4 4 5 5 6 6 7 7 6 0 -1 3 6 8 7 6 5 4 5 6 6 6 6 7 9 11 12 11 9 8 8 8 7 7 7 6 4 4 4 3 3 4 5 6 6 7 8 6 5 4 4 3 4 4 5 5 5 5 5 5 4 3 2 2 3 2 3 4 5 6 7 9 11 11 9 7 5 4 4 4 4 6 6 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 10 9 9 8 8 8 7 6 5 5 4 4 3 3 4 4 5 6 7 8 8 8 7 7 9 8 6 5 5 6 6 5 5 5 5 7 12 14 10 5 2 2 5 8 8 6 4 4 3 3 3 2 3 3 3 3 3 3 4 5 5 5 5 5 5 4 4 4 3 4 4 4 4 3 3 3 3 4 4 3 3 4 4 5 6 5 3 2 4 6 6 5 4 3 2 3 3 3 3 3 3 3 4 4 4 5 5 6 7 8 8 7 3 2 8 15 19 20 18 15 13 14 16 13 1 -10 -10 -4 0 1 2 3 4 4 5 6 7 7 7 8 10 13 15 15 13 10 11 14 13 10 7 6 5 5 7 9 7 3 4 6 6 7 7 5 4 4 5 5 7 12 14 12 7 4 0 -4 -6 -4 -2 1 5 9 11 12 13 15 14 12 9 8 6 9 19 18 8 3 3 5 6 6 8 8 7 8 13 13 8 8 10 10 7 11 15 16 18 24 24 18 10 6 9 13 14 13 11 9 7 7 7 6 6 5 5 6 11 17 15 7 3 4 6 7 7 7 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 5 4 3 3 4 4 4 4 4 4 5 5 4 4 4 3 4 4 5 5 5 5 5 5 4 4 4 5 4 4 3 3 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 6 6 6 6 7 7 7 8 7 7 8 9 9 10 10 10 11 11 10 9 8 7 7 7 7 6 6 6 6 5 5 5 5 5 4 4 5 6 6 6 6 5 5 4 5 5 5 6 6 4 0 -3 2 6 6 5 5 5 6 6 8 6 3 3 3 2 2 2 3 5 6 7 8 9 3 -0 3 5 6 7 7 6 5 5 5 5 6 5 5 6 9 10 9 8 8 8 8 8 8 8 7 6 6 5 6 6 5 5 7 9 10 11 9 8 6 4 3 3 3 4 5 5 5 6 6 5 4 3 2 2 2 2 3 4 5 6 8 10 10 9 7 5 4 3 3 3 4 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 11 11 11 11 10 10 10 9 9 8 7 5 4 4 4 4 4 5 6 7 8 9 8 8 7 6 7 6 5 5 6 6 5 5 6 6 8 11 11 8 4 2 1 5 9 10 9 7 5 3 3 3 3 3 3 3 3 2 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 4 4 6 8 9 8 5 3 2 2 3 4 4 4 4 3 3 3 4 5 5 6 7 8 9 9 5 2 4 10 15 20 23 18 12 15 22 19 8 -7 -13 -7 -1 1 2 2 3 4 5 5 6 7 7 9 12 15 16 15 14 12 10 11 13 13 10 6 6 7 9 10 11 9 7 7 8 7 6 5 3 1 2 3 3 4 4 2 4 4 2 -1 -4 -5 -3 0 2 5 8 11 14 17 16 12 9 7 5 3 6 13 15 9 6 5 6 7 7 5 3 3 8 15 12 4 5 7 7 6 4 8 11 15 18 18 13 9 7 9 12 14 13 10 8 8 8 7 6 5 4 3 6 14 18 13 6 4 5 6 6 7 7 6 7 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 6 6 5 4 4 4 5 5 3 3 4 4 5 4 4 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 7 7 7 9 9 10 10 10 10 11 10 9 8 7 6 6 6 5 5 6 6 6 6 6 5 4 3 3 3 4 5 6 6 5 5 4 4 4 4 6 7 6 3 -1 1 5 6 6 5 5 5 6 9 10 7 5 5 3 1 -1 0 3 5 8 7 7 5 3 5 4 5 5 7 7 5 5 4 5 5 5 5 5 6 9 9 8 8 9 9 9 9 9 7 7 7 7 7 8 9 8 9 11 13 13 13 12 10 8 6 4 3 4 5 5 5 5 6 6 5 5 3 2 2 2 3 3 4 5 7 8 9 8 7 5 4 3 3 2 3 4 5 5 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 11 12 12 12 12 11 11 11 11 11 9 7 5 5 4 5 5 5 6 6 8 9 9 9 8 8 7 5 5 5 5 5 5 5 5 6 9 13 13 10 6 3 2 4 8 12 12 9 6 4 4 4 4 4 4 4 3 2 2 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 4 5 5 5 3 3 5 7 10 10 6 3 2 2 2 4 5 5 5 4 3 4 4 5 5 5 6 8 9 10 7 3 2 5 9 12 20 27 26 20 21 19 8 -5 -13 -13 -5 0 1 2 4 5 6 6 6 6 6 8 14 17 16 14 12 12 12 12 11 13 13 10 6 7 10 12 10 7 8 7 4 2 2 1 1 -1 -2 -2 -2 -1 0 0 -2 -0 4 2 -2 -4 -4 -0 2 3 5 7 11 18 22 18 11 6 1 -1 -0 3 8 13 11 8 7 7 8 8 6 3 4 9 13 8 4 8 9 6 4 2 5 9 13 15 14 11 8 8 9 12 14 11 8 7 8 8 8 6 4 3 3 6 14 18 11 5 5 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 5 5 4 4 5 4 3 3 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 5 6 6 6 6 7 7 7 8 8 7 6 6 7 8 9 10 10 10 10 10 10 9 8 7 6 5 4 4 5 5 5 6 6 7 6 5 5 5 5 5 4 5 5 5 5 4 3 4 5 5 6 6 5 3 3 6 7 6 6 6 6 6 8 11 11 10 9 7 5 3 2 3 4 6 7 5 4 6 6 5 4 5 6 6 6 4 4 4 5 6 6 4 4 5 8 9 8 8 9 9 8 9 8 7 7 7 7 8 9 9 9 10 12 13 13 13 15 14 10 6 4 4 4 4 5 5 6 7 6 6 5 4 3 3 3 3 4 5 6 7 8 8 7 6 6 4 3 2 2 3 4 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 10 11 12 11 11 10 10 10 11 11 11 9 7 6 5 6 5 5 6 7 8 8 8 9 10 10 8 7 6 5 6 6 6 5 5 5 8 13 15 11 7 4 3 3 6 10 10 8 6 4 4 5 5 5 4 4 3 3 2 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 6 5 5 6 6 4 2 2 3 5 7 9 8 5 4 3 4 4 5 5 5 5 4 4 5 5 4 5 6 8 11 12 12 7 2 2 5 7 9 17 23 27 26 15 0 -11 -12 -10 -7 -2 0 2 4 6 7 7 7 6 6 7 11 17 16 12 10 9 11 14 14 12 12 13 12 9 9 11 10 7 4 2 -1 -2 -1 -2 -2 -2 -2 -1 -2 -3 -1 1 -1 -4 -4 -2 -2 -3 -3 -1 2 3 4 6 8 14 24 24 17 10 5 -2 -6 -2 3 7 8 9 8 10 13 13 12 10 6 6 10 15 11 9 14 12 6 5 5 9 12 14 15 13 10 8 8 9 11 12 10 8 7 8 8 7 6 4 4 3 6 14 17 11 6 6 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 5 5 4 4 4 4 4 4 5 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 6 6 6 7 7 7 7 7 6 6 6 5 6 6 5 5 6 6 6 6 7 7 7 8 7 7 6 6 6 7 8 9 10 10 10 10 9 9 9 8 7 6 4 3 3 4 3 4 4 5 4 3 4 5 7 7 5 5 4 3 4 4 3 3 6 8 6 6 6 6 5 4 7 7 6 6 6 7 7 8 8 10 11 11 9 9 8 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 5 4 4 5 6 6 6 4 4 5 6 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 9 11 13 14 16 17 14 9 6 5 5 4 4 5 5 5 6 6 6 5 4 4 3 3 3 4 6 6 7 7 8 8 7 6 5 4 3 3 2 2 4 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 9 9 9 8 8 8 9 10 11 12 11 9 8 7 6 6 6 8 9 9 8 7 7 9 10 10 9 8 7 7 7 6 5 5 4 5 11 15 13 7 4 3 3 4 6 7 6 4 4 5 6 6 6 5 4 4 3 3 3 2 3 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 5 2 1 2 5 6 7 6 5 5 6 7 7 6 5 5 5 5 6 5 5 4 5 9 13 13 12 9 5 1 1 3 4 7 12 15 17 13 -6 -23 -21 -10 -5 -3 -1 1 3 6 9 9 8 7 7 8 12 16 17 12 8 7 8 9 11 11 11 13 14 14 12 9 7 7 8 7 1 -4 -2 2 2 1 1 2 3 3 2 1 1 -1 -4 -8 -8 -4 -1 -0 2 3 3 4 6 9 17 25 21 13 9 6 -3 -8 -2 7 10 10 11 14 18 19 17 12 11 9 6 6 11 10 9 15 11 3 7 15 18 17 16 14 12 10 8 8 9 11 11 10 8 7 7 7 6 5 5 5 5 7 12 15 10 7 8 8 8 7 7 7 7 7 6 5 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 5 4 5 5 5 5 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 3 4 4 4 5 6 6 7 7 7 7 7 7 6 6 6 6 5 6 6 5 6 6 6 7 7 7 8 8 7 6 6 6 6 7 8 9 10 9 9 9 9 9 8 8 6 5 4 3 3 3 3 3 3 3 1 -0 -1 2 5 5 5 5 5 4 3 3 3 3 6 9 8 7 6 5 4 5 7 6 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 5 5 5 5 4 5 5 6 6 6 7 8 6 5 4 5 5 6 6 6 5 4 5 6 7 8 8 7 6 6 7 6 6 6 6 6 6 6 5 6 9 13 16 18 20 19 16 10 6 5 5 5 4 4 5 6 6 6 5 5 4 4 3 3 4 4 4 5 6 7 8 9 9 8 7 6 4 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 7 7 6 5 5 6 8 9 10 12 12 12 10 9 8 6 7 9 12 12 10 6 5 7 8 9 10 10 10 9 8 7 6 5 4 4 8 13 14 8 4 3 3 4 5 5 5 4 4 5 6 6 6 5 4 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 5 5 5 5 6 6 6 7 7 8 7 6 5 4 3 4 4 4 5 5 5 6 7 7 6 5 5 5 6 6 5 4 7 12 15 14 12 8 4 2 2 3 3 3 4 5 6 1 -13 -28 -31 -18 -6 -3 -2 -0 3 6 8 10 11 9 9 10 14 18 18 14 10 7 7 7 6 5 5 10 15 15 13 10 4 2 5 9 8 5 4 4 5 5 4 3 5 7 8 7 3 1 -0 -2 -4 -4 -0 3 5 4 3 3 3 5 8 13 16 12 8 9 8 -2 -6 0 8 11 13 16 21 25 21 14 5 2 3 4 4 6 9 11 13 8 3 13 27 25 18 14 13 11 9 7 8 9 10 10 9 7 7 7 6 6 6 6 6 6 7 10 11 9 8 8 8 8 7 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 5 5 5 4 4 4 4 4 4 4 4 5 5 4 3 3 4 3 4 4 4 5 6 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 6 7 7 7 7 8 8 7 7 6 6 6 6 7 7 8 9 9 9 9 8 8 7 6 5 4 4 4 4 3 3 3 3 3 2 -0 1 3 4 4 4 4 5 5 4 4 3 3 5 6 7 6 6 4 4 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 7 8 8 6 4 4 4 6 6 6 6 6 6 5 6 7 7 7 7 6 6 6 6 6 6 6 6 7 6 6 7 11 16 20 22 22 20 15 10 7 7 6 5 4 4 5 5 6 6 5 4 4 4 4 4 3 3 4 5 6 7 9 10 10 9 9 8 6 6 4 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 8 8 6 5 4 4 5 7 8 10 12 12 12 11 9 7 7 9 11 11 8 5 5 5 6 8 9 11 11 10 9 8 7 5 5 4 6 10 13 9 5 3 3 4 5 5 5 4 4 5 5 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 6 7 7 7 7 7 6 5 4 3 2 2 3 4 4 4 4 4 4 5 5 5 5 5 7 13 17 15 10 7 4 3 3 5 5 5 7 5 0 -3 -9 -25 -33 -22 -9 -5 -4 -2 1 6 8 10 11 11 11 12 15 17 16 13 10 8 9 10 8 5 3 4 9 14 15 10 5 1 -0 4 7 6 7 8 7 6 6 6 5 6 9 10 8 3 1 1 1 2 4 6 7 6 5 3 2 3 5 7 6 4 3 5 9 9 5 2 6 10 10 12 12 17 24 19 8 1 -2 -2 2 6 8 10 13 10 8 9 17 24 20 14 13 12 10 8 7 8 9 10 9 8 7 6 7 6 6 6 6 7 7 8 9 8 7 8 8 9 8 7 7 7 7 7 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 7 7 6 5 5 5 4 4 4 4 4 4 4 5 5 5 4 3 4 4 4 4 4 5 5 6 6 6 6 7 7 7 6 6 6 5 5 5 5 5 5 6 7 7 7 7 8 7 7 7 6 6 6 6 7 7 8 8 9 9 9 8 7 6 6 5 4 4 4 4 3 3 4 5 5 5 4 3 4 4 5 4 4 4 5 5 5 4 4 3 4 5 6 7 5 3 4 6 6 7 7 7 8 9 8 9 8 8 8 8 8 8 8 8 8 7 8 7 7 6 6 5 5 5 5 5 6 7 8 7 6 5 4 5 6 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 6 5 5 7 7 8 8 9 12 17 20 20 18 14 11 9 8 7 6 5 4 4 5 5 6 6 5 5 4 4 4 4 3 3 3 4 5 6 8 9 11 11 11 10 8 7 5 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 8 10 11 12 10 8 8 6 4 4 6 8 10 12 13 12 10 8 8 8 8 7 4 3 4 4 6 6 8 9 11 11 11 9 8 7 6 5 5 7 10 10 7 4 3 4 5 5 5 5 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 6 7 7 7 7 6 4 3 2 2 3 2 2 2 2 3 4 5 5 5 5 7 12 15 13 8 6 4 4 5 6 5 6 11 17 13 4 -2 -5 -11 -15 -10 -6 -6 -4 0 5 8 10 11 11 11 13 16 16 14 11 9 9 10 10 11 10 9 8 7 6 8 10 8 5 3 2 4 4 5 7 8 7 5 4 5 4 4 6 6 6 4 3 5 6 7 10 10 8 6 3 2 1 3 6 6 4 0 1 5 6 8 11 13 14 13 12 11 9 14 18 13 4 2 2 -1 2 5 6 8 12 12 11 13 15 15 13 12 11 10 9 7 7 8 9 9 8 7 6 7 7 7 6 6 6 6 6 7 8 7 5 6 8 9 9 7 7 7 7 7 6 5 5 5 6 5 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 7 7 5 5 5 5 4 4 4 4 5 5 5 5 5 4 3 3 4 4 4 4 4 5 5 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 6 7 7 7 7 8 8 7 7 6 6 5 6 6 7 7 8 9 9 9 9 8 6 5 5 5 4 4 4 4 4 4 5 6 6 7 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 4 3 4 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 8 8 7 6 6 5 4 4 5 6 7 8 7 5 5 5 5 6 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 8 9 11 13 14 15 13 10 9 9 8 8 9 7 6 5 4 5 5 6 6 5 4 4 4 4 4 3 3 2 3 4 6 7 9 11 11 10 10 11 10 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 10 13 14 15 14 13 12 9 5 4 5 7 10 11 11 11 10 10 10 8 4 3 3 3 4 5 6 7 7 9 11 12 11 10 9 8 6 5 5 7 9 8 6 5 5 5 6 5 5 5 5 5 4 3 3 2 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 5 5 4 4 4 4 4 5 5 5 6 6 7 8 7 6 5 5 4 4 4 4 4 4 5 5 5 5 4 5 8 13 14 10 5 3 3 4 6 7 6 3 8 18 28 23 11 4 3 2 -3 -8 -8 -6 -2 5 9 11 10 10 10 11 16 17 15 12 10 10 11 13 13 12 11 9 10 9 4 4 6 8 9 8 5 4 3 5 7 8 7 5 4 4 3 2 3 3 4 4 2 5 8 10 11 10 7 4 3 2 2 4 7 7 5 2 3 5 4 8 14 17 18 17 15 14 14 14 10 7 5 7 5 2 3 4 5 8 12 14 14 13 12 12 11 11 10 9 8 7 7 8 10 9 8 7 6 6 7 7 6 7 7 6 4 5 8 7 5 6 8 9 9 8 7 7 7 7 6 5 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 7 8 7 5 5 5 5 4 4 5 5 6 5 5 6 5 4 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 7 6 6 5 5 5 5 6 7 7 7 7 7 7 7 7 6 5 5 5 6 6 7 7 8 8 9 10 9 8 6 5 5 5 5 5 5 4 5 5 5 6 8 9 8 7 5 4 5 5 5 5 5 6 5 5 6 6 6 6 6 5 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 7 6 5 4 4 5 6 7 7 6 5 5 6 6 7 7 7 7 6 6 6 6 6 6 5 5 4 5 5 5 6 6 7 8 8 9 12 12 11 11 9 8 8 9 10 12 11 11 10 6 4 4 5 6 6 5 5 4 4 3 3 2 2 3 2 2 3 5 6 8 9 9 10 12 13 12 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 10 11 13 14 16 16 14 10 7 6 6 7 9 10 10 10 11 12 11 8 6 6 5 5 5 6 5 6 7 9 11 13 12 11 10 8 5 4 5 7 8 8 7 7 7 6 5 4 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 5 5 6 6 7 7 6 6 6 6 6 7 7 8 9 9 9 7 6 4 4 7 11 13 9 4 2 2 3 5 7 8 5 0 10 19 23 21 9 0 -4 -8 -11 -11 -8 -2 4 10 12 10 9 8 8 11 15 15 13 13 13 11 9 10 13 12 10 8 9 9 6 4 6 9 12 10 7 3 3 5 7 7 6 4 4 4 3 1 1 2 3 4 3 4 6 7 7 5 4 3 3 3 2 4 7 6 4 5 5 3 5 10 15 17 19 19 17 16 13 5 1 3 9 13 8 6 3 2 4 9 13 14 13 13 12 11 12 10 9 10 9 8 7 8 10 9 8 7 6 6 6 6 6 8 7 6 6 6 7 5 5 6 8 8 9 8 7 7 8 7 6 6 6 6 6 6 6 6 7 6 6 5 5 5 6 5 5 5 4 5 5 5 5 5 5 4 5 8 8 7 6 5 5 5 4 4 5 6 6 5 6 6 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 7 7 7 8 9 9 8 7 5 5 5 5 5 5 4 5 5 5 5 7 8 10 9 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 10 10 9 9 8 7 6 5 5 5 6 7 6 6 6 7 7 8 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 8 9 11 13 12 10 9 9 10 12 15 17 17 17 15 10 6 4 5 5 6 5 5 4 4 3 3 2 2 3 2 2 2 3 4 5 7 8 8 9 12 16 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 6 6 8 10 12 15 17 16 13 9 7 6 6 7 7 8 10 12 12 12 11 9 8 6 6 6 6 6 6 7 10 14 15 13 10 8 6 5 5 6 7 8 9 8 7 6 5 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 4 3 4 4 5 4 4 4 4 4 3 3 4 4 5 5 6 6 6 5 5 5 6 6 7 8 10 12 12 11 10 7 5 4 7 10 10 6 3 2 2 3 5 7 8 7 5 4 8 6 4 6 -2 -11 -16 -18 -14 -7 -2 4 10 13 11 8 8 9 9 10 13 14 14 16 17 14 8 6 9 11 11 8 8 9 7 7 7 7 8 8 10 7 3 4 5 6 6 5 4 5 5 3 3 4 5 7 9 7 6 5 4 3 3 3 4 5 2 3 5 5 4 6 5 2 6 11 17 19 19 19 16 13 7 -0 1 7 13 13 7 6 4 1 4 9 12 12 12 11 11 12 12 11 9 10 10 8 8 9 10 9 8 7 6 7 7 6 6 8 7 7 7 6 5 6 8 7 5 6 9 9 7 7 7 7 7 6 6 5 6 7 7 7 7 6 5 5 5 6 6 6 5 5 5 5 5 5 6 5 3 4 6 8 8 6 5 5 5 4 4 5 5 6 6 6 6 6 6 4 4 5 5 4 4 5 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 7 6 6 5 4 4 5 6 6 7 7 7 8 8 8 8 7 5 6 6 6 5 4 4 4 4 3 3 3 2 6 8 6 5 5 6 6 6 6 6 6 6 7 6 6 6 6 5 4 4 5 5 6 6 5 5 5 5 6 6 6 5 6 6 6 6 6 6 8 8 8 8 8 9 9 10 10 9 9 8 6 6 5 6 6 6 6 6 7 8 8 8 6 6 6 6 6 7 7 6 6 6 6 5 5 5 6 7 7 7 7 8 10 13 15 13 9 9 11 14 18 21 22 21 17 13 9 7 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 6 11 14 11 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 7 6 5 5 7 9 12 17 17 15 12 9 6 5 5 5 7 8 9 10 11 10 9 7 7 6 6 5 5 6 9 13 15 13 10 7 5 6 7 6 6 7 8 8 8 6 5 4 4 3 3 3 2 2 3 4 6 7 6 6 6 5 5 5 4 4 5 6 6 5 4 4 4 4 4 3 4 4 4 5 5 6 6 5 5 6 6 6 7 10 13 13 11 9 8 6 5 6 8 9 7 3 1 1 2 6 9 9 8 7 7 7 3 1 -1 -3 -9 -12 -12 -9 -4 1 5 10 12 11 8 7 10 13 12 11 13 13 15 17 16 13 9 6 8 10 10 9 7 8 9 7 7 6 5 7 12 10 5 2 3 4 6 4 3 4 5 4 5 7 9 12 15 13 11 10 8 7 5 3 5 6 4 3 4 5 4 6 5 3 5 11 18 21 20 17 11 7 5 6 10 14 15 9 5 5 4 4 6 9 10 9 8 8 9 11 12 11 10 10 10 9 9 9 9 9 9 8 6 6 7 8 7 6 6 6 6 4 4 10 13 8 3 4 7 8 7 6 6 7 6 6 6 6 6 7 8 8 8 7 6 5 5 6 6 5 5 6 6 6 6 5 6 4 3 4 7 8 7 6 5 5 5 4 4 5 5 6 6 6 6 6 5 5 5 6 5 5 5 5 5 4 5 5 5 6 6 5 6 6 6 6 6 5 6 6 6 7 7 7 7 7 7 7 6 6 5 5 4 4 5 5 6 6 6 6 7 8 8 8 7 6 6 6 6 5 4 4 4 4 4 3 2 1 2 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 5 5 5 6 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 7 7 7 8 7 7 7 8 9 9 10 10 10 10 8 7 7 7 7 7 6 6 7 8 8 7 6 5 5 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 12 14 13 11 9 10 13 17 19 22 21 18 15 13 9 6 6 6 5 5 5 4 4 4 4 4 4 5 5 4 4 3 3 4 4 3 4 8 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 7 6 5 5 5 6 9 13 15 15 14 11 8 6 5 4 4 5 6 6 7 8 8 7 7 6 6 5 6 8 12 14 12 8 5 5 7 8 7 6 6 6 7 7 7 6 5 4 4 3 2 2 2 3 4 6 7 7 6 6 6 5 5 5 6 6 7 6 5 4 4 4 4 4 4 3 3 4 5 5 6 6 6 5 6 6 6 8 10 11 11 9 7 6 6 7 9 9 7 6 5 4 3 6 8 9 9 8 8 9 7 5 6 6 4 3 2 3 4 5 8 11 13 12 8 6 9 15 16 13 11 12 13 13 13 11 10 8 7 8 9 10 10 8 8 9 7 9 10 8 6 5 5 5 4 3 3 5 4 -1 -1 4 5 4 7 10 12 13 13 15 16 12 9 6 5 6 6 5 4 3 3 4 5 4 4 5 10 18 21 17 11 5 3 7 11 15 17 15 9 7 7 8 9 8 8 9 7 5 6 8 10 11 11 10 10 10 8 8 9 10 10 9 8 7 6 7 8 8 5 6 6 5 3 5 10 12 8 4 3 5 6 5 5 6 6 6 5 6 7 8 8 8 8 8 8 7 5 5 6 6 5 5 6 6 6 6 6 5 5 4 5 7 7 6 5 5 4 4 4 4 5 6 6 6 5 6 6 5 5 6 7 6 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 8 7 7 7 7 6 6 6 5 5 4 4 4 5 6 6 6 6 7 8 9 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 6 7 8 8 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 7 6 6 7 9 10 10 9 10 10 11 11 11 10 9 9 8 8 7 8 8 8 8 6 5 5 5 6 6 7 7 7 7 7 7 7 6 7 7 7 8 7 7 7 8 10 11 12 11 10 9 10 12 15 17 17 18 17 15 12 9 7 6 6 5 4 4 4 4 4 4 4 5 6 6 5 5 4 3 3 2 2 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 8 7 6 5 4 3 3 7 10 12 14 14 12 10 9 6 4 3 3 3 4 5 6 7 7 6 6 6 6 8 11 12 11 7 4 4 6 8 8 6 5 5 5 6 6 6 6 5 4 2 2 2 2 2 3 5 6 7 7 7 7 7 6 6 6 7 7 6 5 5 4 5 5 5 4 4 3 4 5 5 5 5 5 5 5 5 6 7 8 8 8 7 7 6 9 12 11 9 7 6 6 6 6 8 8 8 8 8 9 10 9 7 7 9 11 13 13 12 11 12 15 16 14 9 4 5 10 14 12 11 10 10 13 13 11 9 8 7 7 8 9 10 10 9 8 8 6 9 11 10 6 2 1 3 4 3 3 4 4 -1 -2 3 4 3 4 5 5 7 10 15 16 11 8 7 6 6 6 5 3 2 2 3 2 1 3 6 10 14 17 15 8 2 3 9 13 15 16 13 10 8 8 9 7 7 7 8 7 7 7 8 10 10 10 10 10 9 8 8 9 9 10 10 9 8 7 7 8 7 6 6 6 4 4 6 8 9 9 6 5 4 4 4 4 4 5 5 5 6 7 8 8 8 8 9 8 7 5 5 6 6 5 5 6 6 6 6 6 5 4 4 5 7 6 5 5 4 4 4 4 5 6 6 6 6 5 6 5 5 6 7 7 6 6 5 5 4 4 4 5 5 5 5 6 6 5 6 6 6 6 6 7 7 8 8 7 7 7 6 6 6 6 5 4 4 4 4 4 5 5 6 6 6 8 9 9 9 8 7 5 4 4 5 6 6 6 6 7 8 7 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 6 7 8 9 8 6 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 7 7 5 6 9 12 13 12 10 9 9 10 11 12 11 11 11 10 9 8 8 9 8 7 5 4 5 5 6 7 7 8 8 7 7 7 7 6 6 6 7 8 8 7 7 7 8 9 10 11 9 8 7 9 11 14 17 18 19 19 16 13 10 7 6 5 5 5 5 5 5 4 4 5 5 6 6 5 5 4 4 2 1 2 3 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 6 6 7 7 7 6 6 4 3 3 5 6 9 11 12 12 12 11 9 7 6 5 4 4 5 6 6 6 6 6 7 9 11 12 10 8 5 3 5 6 6 5 5 4 5 5 5 6 6 5 4 3 3 2 2 2 3 3 4 5 7 8 9 8 7 6 6 6 6 6 5 5 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 9 7 5 7 7 7 6 6 6 8 9 8 8 10 13 14 13 9 5 5 9 12 14 16 17 19 20 16 9 3 2 5 8 9 9 10 10 10 13 13 12 11 10 8 8 7 8 9 9 9 9 6 6 7 6 8 7 4 3 2 2 3 3 3 4 3 -0 0 2 2 1 0 -0 2 7 11 12 10 7 6 7 6 5 4 2 1 3 3 1 -0 3 8 10 10 14 17 8 1 3 9 13 15 15 12 9 4 4 6 5 5 7 8 10 10 9 9 9 10 11 11 10 10 9 9 9 9 10 10 9 8 7 7 7 7 6 6 5 3 5 6 7 9 8 6 8 8 4 3 4 3 2 3 5 6 8 8 8 8 8 8 8 7 5 6 6 6 5 5 5 6 6 6 6 5 4 4 6 7 6 5 4 4 4 4 4 5 6 6 6 6 6 6 5 5 6 7 7 6 5 5 5 4 4 4 5 5 5 5 6 6 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 4 3 4 4 4 5 5 5 7 7 8 10 10 9 7 6 4 4 5 5 5 6 7 7 8 7 6 6 6 6 5 5 5 6 6 6 5 6 6 7 7 7 7 7 8 7 6 5 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 6 5 4 6 10 14 14 12 9 8 8 9 10 11 12 11 11 10 10 9 9 9 8 6 5 4 5 5 6 7 8 8 8 7 7 7 7 6 6 7 8 8 7 7 7 7 8 9 10 11 10 8 7 7 9 13 17 22 26 25 21 15 12 10 9 8 7 6 6 7 6 5 4 4 4 5 5 6 5 5 5 4 3 3 3 3 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 6 7 7 7 6 5 4 4 3 4 5 7 9 10 12 14 14 14 11 8 7 7 6 5 5 5 6 7 10 12 12 11 9 7 5 4 6 6 5 5 5 5 5 5 6 6 6 5 4 3 2 1 2 2 2 3 5 7 8 9 9 8 6 6 6 5 5 5 5 5 4 5 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 2 3 7 7 7 7 7 7 8 10 9 8 13 19 20 16 11 8 6 9 12 16 19 22 23 18 9 1 -0 2 5 6 7 10 12 11 10 12 12 13 14 13 10 8 7 7 8 9 9 9 6 5 3 3 6 8 8 8 6 4 5 4 3 5 6 3 0 2 4 4 1 -1 2 7 10 11 11 8 7 7 6 5 6 4 3 3 3 2 1 3 7 8 7 13 16 7 3 6 9 12 14 14 13 9 5 6 6 5 5 7 9 11 11 11 9 9 9 10 10 10 10 10 10 9 9 10 10 9 8 8 8 7 7 6 6 5 4 5 6 6 7 6 7 10 10 6 5 5 3 2 2 4 6 8 8 8 8 8 7 7 5 4 5 6 5 6 6 7 6 5 6 6 5 4 4 6 6 5 5 4 4 4 5 5 6 6 6 6 6 6 5 5 6 7 7 7 6 6 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 5 6 6 5 5 5 4 4 4 4 4 4 5 5 5 6 6 8 10 11 10 8 6 4 4 5 5 4 4 6 7 9 9 7 7 6 6 5 5 5 5 5 6 6 6 6 6 5 5 6 7 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 7 11 13 11 8 6 5 6 7 8 10 11 11 10 10 10 9 9 8 7 6 5 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 6 7 8 8 9 10 10 9 9 8 8 10 17 27 32 30 23 13 9 10 11 11 10 8 7 7 7 5 4 4 4 5 5 6 6 6 5 5 5 5 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 6 6 6 6 7 7 7 6 5 3 2 2 3 4 7 9 13 17 17 15 14 12 10 9 8 6 5 6 7 9 10 11 11 10 8 7 6 6 7 7 6 6 6 7 6 6 6 6 5 4 3 2 1 1 1 2 3 5 6 8 9 9 9 7 6 6 6 6 6 6 5 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 8 8 8 8 8 7 7 8 9 9 13 19 21 17 14 14 10 10 13 16 17 17 13 6 0 -1 2 4 4 5 9 12 13 12 11 13 13 13 15 14 10 9 7 6 7 8 9 9 7 5 3 3 6 9 10 11 12 11 10 6 3 5 7 7 4 5 7 7 4 3 5 12 16 16 13 9 7 6 6 8 8 7 4 3 2 2 1 2 5 5 4 10 11 8 9 9 7 8 11 15 14 11 9 9 7 5 5 7 10 11 11 10 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 8 7 7 7 7 7 5 4 5 6 6 5 5 7 9 8 5 7 9 5 2 1 3 5 7 9 9 8 7 6 6 4 4 4 5 5 6 8 8 7 6 6 5 5 4 5 7 6 5 5 4 4 5 5 6 7 7 6 7 6 6 4 5 6 7 7 7 6 6 5 4 4 4 4 4 5 4 4 5 5 6 6 6 7 7 8 8 7 7 7 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 7 9 10 11 9 7 4 4 4 4 4 4 5 7 9 10 7 6 6 6 6 5 5 6 6 6 6 7 7 6 5 3 3 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 3 4 7 9 9 7 5 4 3 3 4 5 7 9 10 11 11 10 9 7 6 5 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 6 7 8 8 9 9 10 10 11 11 9 9 15 25 31 31 23 11 5 7 11 13 13 13 12 10 9 7 6 6 5 5 7 7 7 6 5 5 5 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 6 7 7 7 7 7 6 4 3 2 2 3 4 5 8 11 14 14 15 15 14 13 12 11 9 8 8 8 9 10 10 9 8 7 6 6 7 7 7 7 8 8 8 7 6 6 6 5 3 2 2 2 2 2 3 5 6 7 9 10 10 9 8 8 7 7 8 6 5 3 3 3 4 5 4 4 5 5 5 5 6 5 5 4 4 5 5 5 6 6 6 6 7 9 9 9 9 9 8 7 4 6 8 9 8 9 13 12 11 14 15 12 9 9 8 7 5 1 -1 -1 1 3 3 4 6 8 10 9 9 12 15 14 14 15 13 10 8 8 5 5 7 7 8 9 7 6 7 7 8 9 9 12 13 11 8 5 6 7 6 5 5 7 7 6 7 11 17 20 18 13 9 7 7 9 10 8 6 4 2 1 0 1 3 4 3 2 8 11 10 11 10 6 5 11 16 15 10 8 7 7 7 7 8 10 11 11 10 9 9 9 9 9 9 9 10 11 9 9 9 8 9 10 9 7 7 7 8 7 5 4 5 6 6 4 4 6 8 7 5 9 11 7 2 2 3 4 7 8 8 7 7 6 5 4 3 3 3 4 6 9 9 7 6 7 6 4 4 4 6 6 6 4 4 5 5 5 6 7 7 7 7 6 6 5 5 6 6 7 6 6 5 5 4 4 4 4 5 5 4 5 5 5 5 6 7 7 7 8 8 8 7 7 6 6 5 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 5 6 8 10 11 10 7 5 4 3 3 3 3 4 5 7 8 7 5 6 6 6 7 6 6 7 7 6 7 7 7 7 3 2 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 6 6 5 4 5 7 7 7 6 6 5 5 4 3 2 3 5 7 10 11 11 9 7 6 5 5 7 8 8 8 8 8 8 8 8 7 7 7 8 7 7 8 8 8 8 7 6 7 8 8 8 9 10 10 11 11 10 10 13 17 23 26 23 12 5 8 14 17 18 20 21 19 16 13 10 9 9 10 10 11 10 8 7 6 5 5 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 18 14 9 7 4 3 8 16 19 14 11 11 11 9 10 9 11 12 12 15 18 19 15 10 6 11 14 16 17 17 12 2 3 4 2 6 10 12 11 10 10 16 15 12 12 12 12 12 12 13 13 13 14 14 14 13 12 11 9 9 11 13 13 12 11 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 10 8 7 6 8 11 13 12 11 10 10 11 12 14 14 14 13 12 13 13 13 13 13 12 12 11 11 11 11 11 12 12 13 12 12 12 12 13 12 12 12 11 12 12 13 12 11 10 10 10 10 10 10 10 10 12 13 13 13 13 13 13 13 11 9 5 4 11 19 21 12 -1 5 21 24 21 17 14 13 12 12 12 13 14 14 13 14 14 14 14 14 14 14 13 14 14 13 13 13 12 13 15 14 13 12 12 13 14 16 16 14 13 13 15 16 18 19 19 16 15 15 15 15 15 15 14 14 14 15 14 14 14 14 17 21 19 15 14 14 13 13 14 15 14 14 15 15 16 17 17 17 16 15 15 15 16 17 18 17 16 16 16 16 15 14 12 10 10 14 17 14 13 13 13 14 14 14 15 15 14 14 15 15 15 16 16 15 14 14 14 14 15 15 15 15 14 13 13 12 11 11 11 11 11 11 12 13 14 13 12 11 10 10 11 12 12 11 11 11 11 10 10 10 10 9 10 10 10 11 11 11 12 13 13 15 14 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 13 12 11 11 10 10 11 11 11 11 11 12 12 12 12 13 13 13 14 14 14 14 16 18 17 16 14 13 14 15 15 13 12 11 10 11 11 12 13 14 14 14 14 14 16 17 16 16 15 12 8 7 7 10 10 9 10 10 10 11 12 10 4 1 3 11 19 24 24 23 19 15 13 13 13 12 12 13 14 14 14 14 15 16 16 15 14 13 13 13 14 14 15 15 14 14 14 13 13 13 14 15 15 15 15 14 15 15 15 16 15 15 16 15 14 14 13 13 12 13 14 15 16 15 14 14 14 14 14 13 13 13 14 14 14 13 13 12 12 nan
nan nan nan nan nan nan nan 16 17 14 12 9 9 10 12 12 10 9 11 15 17 17 16 12 8 8 12 17 18 17 14 9 5 4 3 5 8 10 11 11 9 12 16 15 15 15 14 12 12 12 12 13 13 14 13 13 13 12 11 10 10 11 12 12 12 10 9 8 7 8 8 7 8 10 10 11 11 10 10 10 10 10 9 9 9 10 12 12 11 10 11 11 13 13 15 15 14 13 12 12 12 12 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 11 12 12 13 14 12 12 11 11 10 11 11 11 11 11 12 13 13 12 12 13 14 13 12 11 11 12 14 17 16 10 6 7 12 17 20 17 13 12 11 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 13 14 14 14 13 12 12 13 16 16 15 14 13 14 16 16 17 18 18 17 15 15 15 14 14 14 13 13 15 15 14 12 11 11 13 21 22 17 16 15 14 13 13 13 14 14 14 14 14 16 17 18 17 16 16 15 15 16 18 18 17 15 15 15 15 15 13 9 6 9 13 14 14 14 15 16 19 20 20 18 15 13 13 13 13 13 12 12 12 12 12 12 12 13 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 11 10 10 10 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 10 10 9 9 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 12 12 12 13 12 12 12 11 11 10 10 11 11 11 11 12 12 12 12 12 12 13 13 14 15 14 14 15 16 16 14 13 14 14 14 14 14 11 9 9 10 12 12 13 13 14 13 13 14 14 14 16 17 15 13 13 14 14 15 15 11 10 10 11 11 11 13 11 9 10 16 23 29 26 19 17 16 14 13 13 12 12 12 13 14 14 14 14 15 16 16 16 15 13 13 14 14 14 14 15 14 14 14 13 14 14 14 14 14 15 17 17 16 15 13 13 14 14 15 15 14 13 13 14 13 13 14 15 16 15 15 13 13 12 12 13 13 13 13 13 13 13 13 13 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 9 9 8 11 15 17 16 13 12 12 11 13 18 15 11 10 11 11 10 8 7 9 12 14 14 13 13 13 15 15 15 14 13 12 12 12 13 14 14 13 13 12 11 10 9 9 10 10 10 10 10 8 6 5 6 6 6 7 9 10 11 10 10 9 9 9 10 10 10 11 11 10 10 10 10 11 12 14 16 16 16 14 12 11 12 12 12 12 13 12 12 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 12 12 12 12 13 13 13 13 13 12 9 11 16 17 15 14 13 13 13 11 8 9 14 17 16 13 12 12 12 12 12 13 13 13 13 12 12 13 14 14 14 14 14 13 13 14 14 14 14 14 13 12 12 12 14 16 16 14 13 10 7 10 17 27 29 21 17 15 14 14 14 13 13 13 14 14 15 14 13 12 9 9 14 17 15 16 16 16 14 13 13 13 13 13 12 12 12 14 16 17 15 14 13 13 13 14 16 16 14 13 13 15 16 18 18 15 12 14 15 16 14 14 14 17 20 22 20 17 15 14 13 13 12 12 12 12 12 12 12 12 13 13 14 14 15 15 14 14 14 13 13 12 11 10 9 8 9 10 11 12 11 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 9 9 10 9 10 10 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 14 14 14 14 14 15 15 14 12 12 14 15 12 10 8 6 6 8 11 13 13 12 12 13 13 13 14 13 14 14 15 14 13 16 18 19 19 15 12 11 11 12 12 12 12 14 15 15 18 20 20 17 16 15 14 14 13 13 12 12 13 14 15 15 15 15 14 15 16 15 14 13 13 14 15 15 14 14 14 14 16 15 14 14 14 14 14 16 17 19 17 14 12 13 14 15 14 13 14 14 13 14 14 14 15 16 16 16 15 14 13 12 13 12 13 14 14 14 14 14 14 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 11 13 15 17 16 15 9 9 11 18 17 10 7 8 12 14 14 13 12 13 14 14 13 13 12 11 12 13 14 14 15 14 13 12 11 10 8 7 8 9 9 10 9 7 6 5 5 5 6 7 8 9 11 11 10 9 9 9 10 11 11 11 11 10 10 11 11 12 14 15 16 16 15 13 12 11 11 12 12 13 13 12 12 12 11 11 11 10 10 11 11 12 12 12 12 12 13 12 13 13 13 13 12 11 11 11 12 12 12 12 13 14 13 13 13 13 14 13 13 11 7 10 16 18 17 15 14 12 13 12 9 10 13 15 14 12 12 12 13 13 12 13 13 12 12 12 12 14 14 14 13 14 14 14 14 14 14 14 14 14 13 12 12 13 14 15 15 14 11 9 4 0 5 22 35 34 29 21 15 13 14 14 13 13 13 14 15 15 14 14 12 11 11 12 13 14 16 16 15 15 15 14 14 14 13 13 11 11 12 14 14 13 12 11 11 12 15 15 14 13 13 12 12 18 23 19 16 16 16 15 15 13 7 4 7 12 17 18 17 16 15 14 14 14 13 13 13 13 13 13 14 14 15 15 15 15 14 14 13 13 12 11 10 9 9 9 10 11 11 12 11 10 10 10 10 10 11 11 11 11 12 11 11 11 12 12 12 13 13 13 12 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 9 9 10 10 9 8 8 9 9 9 10 11 11 11 11 11 12 12 12 13 13 12 11 12 12 11 11 11 11 11 12 12 12 13 12 13 13 13 14 14 14 14 14 15 14 14 14 14 14 14 13 9 6 5 7 9 11 13 13 13 12 12 13 13 14 13 13 13 13 13 14 16 18 18 15 13 11 12 13 13 13 13 13 13 14 14 14 14 13 14 14 16 15 14 13 13 13 13 12 13 14 15 15 15 15 15 15 15 14 13 13 14 15 15 15 15 14 13 14 15 16 15 15 14 14 14 16 18 19 16 13 11 13 14 14 14 14 14 14 13 13 14 14 15 16 15 16 15 15 13 13 13 13 13 14 14 14 16 15 14 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 16 11 11 17 15 11 6 10 13 15 13 11 11 13 14 14 12 11 11 10 12 14 14 15 16 15 14 12 10 8 7 6 7 8 8 9 9 8 6 6 7 7 8 9 9 10 11 11 10 9 9 10 11 11 11 12 12 10 10 11 12 13 14 15 15 15 14 12 12 11 11 11 12 13 13 13 12 12 11 11 10 10 11 11 12 12 12 13 12 13 13 13 13 13 13 13 12 11 10 10 11 12 14 14 14 14 14 13 13 13 13 13 13 12 11 12 14 16 15 13 12 12 13 13 13 12 11 11 11 12 12 13 14 13 13 13 13 13 11 11 12 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 14 14 14 13 12 12 12 9 1 -1 4 17 28 34 33 25 18 14 14 14 14 14 13 14 15 14 14 14 13 12 12 11 13 15 15 15 16 18 18 18 17 16 16 14 13 13 14 15 15 14 14 13 13 15 17 17 17 15 12 9 13 19 18 17 16 15 15 16 15 11 6 5 8 12 15 17 17 16 15 14 14 15 15 14 13 13 13 13 14 14 14 14 14 13 13 12 12 11 11 11 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 11 10 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 10 9 10 9 9 9 8 9 9 9 9 10 10 11 11 12 12 12 12 12 12 13 12 12 12 11 11 10 11 11 11 12 12 13 13 12 12 13 14 14 14 14 15 14 14 14 15 16 15 15 15 14 12 10 9 10 12 13 13 13 13 13 13 13 13 14 14 13 13 12 11 12 14 15 16 16 14 12 12 13 13 13 13 13 13 14 14 13 12 13 14 15 15 14 14 14 13 13 13 13 13 13 14 15 15 16 15 15 15 15 14 13 14 14 15 15 15 15 14 13 13 14 15 16 15 14 14 15 15 17 20 17 13 11 12 13 12 14 14 14 14 13 12 13 14 14 15 16 15 15 15 14 13 13 13 13 13 13 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 15 17 15 14 16 16 14 12 11 12 12 12 13 13 15 15 14 13 11 10 9 8 6 6 6 7 7 7 7 8 8 9 9 10 10 10 11 12 11 10 10 10 10 10 11 11 13 12 10 10 11 12 13 14 14 13 14 13 12 11 11 11 12 12 13 13 13 12 11 11 11 11 11 11 12 13 13 14 14 14 14 13 13 14 14 13 13 12 11 10 10 12 13 14 15 15 14 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 11 12 13 13 13 14 13 14 13 12 12 11 12 13 13 14 14 14 13 14 14 15 14 14 14 14 14 14 14 15 15 14 12 11 12 13 14 11 4 -1 0 9 21 37 37 23 15 14 14 14 14 13 14 13 14 15 15 14 13 12 12 13 14 15 14 15 19 25 28 24 19 20 20 17 17 16 15 15 15 15 14 14 14 15 17 17 16 15 12 13 15 16 17 16 16 15 16 16 16 13 10 8 8 9 11 14 15 15 15 14 14 15 15 14 15 14 13 13 12 13 13 13 12 12 12 11 12 11 12 12 12 12 11 11 11 12 12 13 13 12 11 12 12 12 12 13 13 13 13 14 14 13 11 11 10 10 9 10 10 10 10 9 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 11 11 11 12 13 13 13 13 13 14 14 14 15 15 15 15 14 15 17 17 16 15 14 13 12 11 12 13 13 13 13 12 12 13 14 14 14 14 13 13 12 11 11 11 13 17 17 16 14 13 13 13 12 13 13 13 14 14 14 13 13 14 14 15 14 14 14 13 13 13 13 13 13 14 15 15 16 16 15 16 16 15 14 13 14 15 15 15 14 14 14 13 13 14 14 15 15 15 15 16 15 16 18 18 15 13 12 12 13 14 15 14 13 12 12 13 13 13 15 15 16 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 13 12 13 13 13 14 13 12 11 11 11 9 8 7 7 7 7 7 7 7 8 10 10 11 11 11 11 11 11 11 10 10 10 11 12 12 12 13 12 11 11 12 12 13 14 13 13 12 12 11 11 12 12 12 12 13 13 12 12 12 11 11 11 12 13 14 14 14 14 15 15 14 14 14 14 14 14 13 12 10 10 10 12 14 14 15 15 14 14 13 12 10 11 12 12 12 12 13 13 13 13 14 13 13 13 12 11 11 12 11 11 12 13 13 14 14 13 13 13 13 12 12 12 13 13 14 15 13 13 14 14 15 15 15 15 15 14 14 15 15 15 14 13 13 13 13 14 16 14 10 3 0 6 30 43 32 23 17 15 14 14 14 13 13 14 15 16 15 16 16 15 14 15 15 12 9 10 21 33 32 25 25 22 20 20 18 16 14 13 14 14 14 14 15 15 16 16 16 15 15 15 15 14 14 13 13 12 12 12 11 10 9 7 7 7 10 12 13 14 13 13 14 15 15 15 16 15 14 14 14 15 14 13 12 11 11 11 12 12 12 13 12 12 12 12 12 13 13 14 14 14 14 14 15 16 15 15 16 15 14 12 11 10 10 10 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 13 13 13 13 14 14 14 15 15 15 15 16 15 15 15 16 18 16 13 11 11 11 12 11 12 12 13 12 12 13 13 13 13 15 14 14 13 12 11 10 10 12 16 20 19 19 16 13 13 13 12 13 13 14 14 14 13 12 13 13 14 14 13 13 13 13 12 12 13 14 14 15 15 15 15 15 15 15 15 15 14 14 15 14 14 14 14 14 14 14 13 13 14 15 15 15 14 14 15 16 17 17 16 14 13 13 13 14 14 14 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
nan nan nan nan nan nan nan nan 21 27 32 33 29 24 20 19 22 24 25 26 28 30 30 28 27 29 30 31 30 27 24 21 21 23 25 26 26 24 20 14 9 6 5 4 3 4 6 9 11 10 8 5 4 4 5 6 7 6 5 6 6 5 5 5 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 26 38 44 40 29 18 10 4 3 6 10 12 12 9 8 6 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 1 2 0 8 10 7 1 0 0 2 7 13 26 25 24 22 20 18 17 18 20 20 20 22 26 28 38 43 45 37 18 11 7 4 5 6 14 15 4 0 28 63 69 43 11 1 17 60 75 51 33 27 14 3 0 0 0 0 3 9 20 37 46 48 47 41 36 37 30 15 6 3 3 0 0 0 0 0 1 1 4 13 16 16 14 13 15 19 12 5 4 9 16 23 30 27 24 18 18 22 37 56 69 62 56 52 59 80 85 80 80 90 107 121 132 143 145 140 133 122 111 107 112 122 127 125 118 101 91 89 86 77 69 64 68 91 108 96 96 103 103 105 105 101 101 107 123 138 141 134 111 89 80 81 81 81 90 106 116 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 17 21 25 27 25 23 19 17 18 20 23 25 28 28 27 28 28 27 25 24 23 22 21 18 16 16 16 17 17 15 13 10 8 8 10 10 7 4 5 6 6 5 4 3 1 1 1 2 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 27 37 40 34 24 14 6 3 5 12 17 17 14 12 10 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 2 2 0 5 9 11 9 4 3 4 7 11 17 16 18 19 19 18 16 17 19 19 16 13 14 18 36 44 43 34 20 13 6 4 5 8 20 11 3 6 23 55 66 49 20 4 17 51 66 49 32 27 18 5 0 0 0 0 0 0 2 7 20 29 22 17 11 12 11 1 0 0 0 0 0 0 0 0 0 0 0 1 5 10 11 11 12 18 20 10 4 7 11 9 7 9 1 2 4 5 26 50 72 60 60 66 78 93 93 86 79 81 102 115 127 142 148 143 136 128 116 108 109 115 120 127 120 93 77 76 75 71 66 60 60 70 79 74 80 91 93 91 90 90 102 121 142 152 153 138 111 92 87 90 91 93 100 112 120 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 15 14 14 17 20 21 22 21 19 16 15 17 19 20 22 22 24 26 25 23 21 20 20 20 19 16 12 11 10 10 9 7 7 6 8 11 12 10 7 7 6 6 5 4 3 1 0 0 0 1 2 3 3 3 3 3 3 4 4 5 5 5 5 6 6 5 6 6 7 7 6 6 7 7 8 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 26 33 35 30 20 11 6 6 10 18 20 19 16 14 15 10 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 5 11 14 12 10 10 11 12 13 11 12 14 14 13 13 16 19 18 12 10 18 32 44 46 40 26 17 14 9 5 6 11 18 15 12 12 25 47 61 54 34 18 24 45 55 46 34 29 15 0 0 0 0 0 0 0 0 0 0 0 1 3 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 4 5 11 12 13 21 23 18 14 15 8 3 4 14 39 57 61 59 65 69 72 76 72 70 60 67 94 109 118 133 145 145 140 133 124 117 116 123 134 141 129 106 92 86 85 82 78 72 68 68 67 64 71 80 79 79 86 97 124 149 163 160 152 135 113 99 98 102 105 106 108 110 115 120 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 17 17 14 14 16 18 21 22 21 16 13 12 12 14 16 18 19 21 21 21 19 17 18 19 19 19 14 10 8 8 7 6 5 5 5 6 7 8 9 9 7 6 5 4 4 2 1 0 0 0 0 0 0 1 1 1 1 4 4 5 5 5 6 6 4 2 2 3 3 4 4 4 4 5 6 6 5 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 22 28 30 28 21 14 11 12 18 23 23 21 19 20 20 14 3 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 2 5 11 12 12 12 12 12 11 10 10 11 9 6 6 10 14 13 11 17 32 45 49 44 34 24 19 16 10 5 5 13 20 23 21 20 28 41 53 56 45 35 34 44 51 45 36 26 11 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 0 0 1 3 10 23 35 39 39 37 25 12 11 27 46 51 54 57 58 60 62 57 51 64 77 92 110 115 116 121 131 137 138 134 128 124 122 128 141 147 137 123 111 105 101 98 94 86 81 77 73 70 73 78 80 82 97 124 154 168 165 156 149 133 114 107 112 115 115 114 113 112 115 117 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 12 16 17 15 15 17 20 23 22 17 13 13 12 12 14 16 17 18 18 18 18 17 18 19 19 19 17 12 9 8 7 7 6 4 2 1 2 4 6 8 7 5 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 2 1 0 0 0 0 0 1 1 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 18 23 27 28 25 21 20 22 26 27 27 27 29 30 27 17 5 1 1 1 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 9 10 9 9 9 9 9 7 4 2 3 5 7 16 36 48 44 38 33 26 20 19 17 10 3 3 11 24 34 35 32 32 37 46 52 50 43 41 48 53 46 38 32 22 8 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 6 6 6 15 32 46 50 49 37 20 14 25 44 40 28 39 44 64 91 87 53 56 99 131 134 128 120 112 108 116 124 127 125 126 133 141 150 152 143 135 128 122 121 118 111 102 96 91 87 82 81 86 91 97 115 145 167 166 155 150 150 135 117 114 123 124 116 112 112 115 116 115 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 10 13 14 15 16 18 21 22 18 13 13 13 12 13 16 18 18 17 16 17 16 18 20 21 19 16 13 10 9 9 8 7 6 3 1 0 1 2 5 6 5 4 3 2 1 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 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 14 19 22 26 27 26 27 29 31 32 34 36 38 37 29 17 7 3 3 3 0 0 2 7 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 1 1 7 9 8 8 7 7 8 8 7 4 2 1 6 27 50 46 26 15 15 18 18 18 17 12 4 1 7 22 37 40 35 31 31 38 47 51 50 48 52 53 47 40 36 30 15 10 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 6 13 16 14 19 32 44 49 43 38 33 29 33 35 27 35 51 78 120 124 93 73 109 146 148 142 130 118 111 105 108 113 117 124 137 154 159 159 154 152 153 154 151 145 135 123 117 114 108 100 94 97 106 116 135 153 149 138 141 153 158 147 132 130 135 132 118 112 116 118 114 110 105 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 5 6 8 11 14 16 16 18 19 17 14 12 12 11 12 16 19 18 16 16 17 17 17 20 20 19 18 16 14 13 12 10 9 8 6 3 1 0 0 1 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 15 18 20 22 23 24 25 29 34 37 40 42 37 26 14 7 4 4 4 3 5 8 10 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 2 8 9 9 10 9 9 10 14 21 19 10 7 18 44 54 33 12 7 12 17 19 20 19 14 7 0 3 13 28 36 34 24 20 27 37 48 55 56 55 52 46 41 38 33 19 13 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 1 3 3 4 9 13 13 21 38 40 28 24 44 46 59 76 93 131 129 124 121 139 156 157 152 144 133 124 112 107 111 115 118 129 145 153 157 162 167 173 182 181 170 157 144 137 137 134 125 116 112 120 137 153 146 106 78 103 141 163 158 152 151 147 140 130 124 122 119 113 106 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 5 6 7 10 12 13 13 14 15 14 13 12 12 11 13 16 16 14 13 15 17 18 19 20 20 19 18 17 15 14 12 8 7 6 4 2 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 1 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12 14 16 16 16 15 15 19 26 32 35 36 31 21 11 7 6 6 7 10 11 11 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 3 9 14 14 11 10 11 13 24 44 46 34 29 39 52 44 21 12 12 15 17 20 22 22 18 12 2 1 5 17 23 22 18 14 13 21 34 49 61 61 51 44 40 38 32 19 16 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 1 1 1 6 15 14 21 32 55 54 68 79 108 126 126 128 133 141 151 156 157 154 145 134 123 117 122 127 126 124 126 132 143 155 166 174 179 180 175 164 152 144 143 146 144 138 131 130 138 147 134 89 58 69 101 128 142 153 159 154 144 138 134 129 124 116 108 102 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 18 10 7 6 5 7 8 8 9 10 11 13 14 15 13 11 10 11 11 10 9 10 12 14 16 18 18 17 15 15 13 11 8 5 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 11 11 10 8 7 8 12 18 22 23 19 14 9 7 7 8 11 13 11 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 1 6 12 14 11 9 9 11 26 49 58 53 47 45 39 25 16 18 20 20 20 21 24 24 22 17 10 4 2 8 17 20 18 14 8 7 15 27 46 56 53 46 40 38 28 21 18 13 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 10 15 16 16 30 56 71 65 68 83 98 113 122 125 127 132 140 148 154 155 149 138 126 121 127 137 135 130 121 118 128 143 156 167 173 172 169 160 147 136 136 143 148 148 145 145 146 145 135 113 94 85 88 100 121 141 153 152 144 138 135 131 127 120 113 108 107 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 17 18 13 9 6 6 6 7 7 8 8 10 11 13 13 11 9 8 8 8 7 6 7 10 12 12 12 12 11 11 9 7 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 8 6 4 2 2 3 6 10 11 11 10 9 9 10 12 14 12 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 7 5 4 5 15 31 40 41 37 32 23 14 12 16 20 21 21 22 24 24 23 21 16 6 2 1 4 10 11 11 2 1 3 7 17 32 41 45 44 40 32 24 19 14 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 5 18 23 26 29 28 29 50 79 95 87 86 102 112 116 116 116 116 116 120 132 144 150 147 136 126 117 120 130 131 128 127 115 121 136 145 157 169 172 169 165 154 139 134 138 144 147 150 152 153 150 144 138 130 119 108 110 124 139 146 144 136 132 130 128 127 124 115 109 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 9 14 14 13 10 7 6 6 6 7 8 8 9 10 11 10 9 8 8 9 8 8 8 9 10 10 10 9 8 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 2 1 0 0 0 1 3 5 7 9 10 11 12 14 13 7 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 1 2 5 5 3 2 3 7 14 21 24 26 23 16 8 2 5 7 9 14 16 19 19 20 21 15 7 3 0 0 0 0 3 1 0 0 0 2 7 16 25 33 36 33 27 21 16 11 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 0 0 3 17 30 38 44 44 45 64 84 94 98 107 119 126 123 116 108 106 109 114 125 135 143 140 133 126 117 113 116 120 125 130 122 122 132 140 148 160 169 174 178 176 166 152 145 144 146 148 151 154 150 146 143 141 139 136 132 133 137 139 134 126 124 122 119 122 123 115 110 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 6 8 9 10 10 9 6 4 4 5 7 8 8 8 8 8 8 7 7 9 9 9 9 8 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 12 13 13 11 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 1 4 5 2 2 4 6 11 15 18 21 20 15 5 0 0 0 1 1 6 8 10 11 13 10 7 2 0 0 0 0 0 0 0 0 0 0 0 2 6 10 14 18 19 17 15 11 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 1 8 8 3 0 0 8 23 43 59 66 66 72 77 79 84 98 117 131 133 124 112 108 109 110 115 127 134 134 130 128 121 114 110 118 133 140 129 123 128 136 143 150 159 169 179 185 184 176 162 153 150 146 143 141 143 143 138 134 137 144 143 135 130 128 123 118 117 114 110 113 116 113 110 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 5 4 5 6 8 8 5 2 2 4 6 8 9 8 8 7 6 4 5 5 5 4 4 3 4 5 5 5 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 12 12 11 8 5 2 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 3 5 4 3 6 10 14 18 18 18 19 17 8 1 0 0 0 0 0 2 2 2 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 4 6 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 8 17 10 2 0 1 10 34 68 87 89 84 78 76 73 76 95 120 137 136 126 116 115 114 110 120 127 125 122 125 123 117 114 121 137 147 138 127 124 128 137 145 148 152 160 170 177 179 174 165 160 155 148 138 141 145 136 125 125 134 140 134 127 122 116 113 112 109 106 108 112 111 109 116 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 5 4 1 2 4 7 8 6 2 1 3 7 9 9 9 8 5 3 2 1 1 1 1 1 1 3 4 4 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 1 0 0 0 0 0 0 0 0 1 4 8 9 9 8 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 3 3 3 2 2 1 1 2 3 2 1 0 0 2 5 8 10 14 18 18 22 24 22 21 20 14 4 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 2 0 0 3 14 40 76 94 95 89 90 88 80 82 100 128 139 143 137 132 126 119 120 122 120 118 119 120 118 116 119 130 140 141 134 125 121 127 138 141 136 134 141 150 163 167 164 166 166 160 149 150 150 139 126 121 123 130 133 131 125 118 116 115 112 110 110 109 103 100 107 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 6 7 6 2 0 1 3 7 12 10 5 2 3 6 8 9 10 8 4 1 0 1 2 2 1 1 2 3 4 4 5 6 8 9 8 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 1 0 0 0 0 0 0 1 2 3 6 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 8 9 9 8 6 6 6 6 6 7 7 7 4 2 2 2 4 10 13 16 20 20 23 25 25 26 25 21 15 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 1 1 0 0 0 0 2 13 40 68 92 98 107 111 100 90 93 110 133 151 156 147 138 131 127 123 120 119 120 120 119 119 119 121 128 135 135 127 120 122 132 136 129 121 122 124 128 138 145 152 160 160 155 154 154 146 136 129 128 131 134 137 134 128 125 123 119 114 106 98 89 83 86 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 3 5 10 10 7 2 1 0 2 6 11 11 7 3 4 6 7 9 9 6 2 0 1 4 4 3 2 2 3 4 5 7 10 11 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 3 2 0 0 0 0 0 1 2 2 3 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 12 14 15 17 17 13 9 8 9 10 10 10 9 8 7 5 4 4 4 4 6 7 9 10 15 16 20 23 23 22 22 12 7 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 3 27 69 91 112 127 118 105 97 103 123 145 158 155 146 140 135 130 126 126 125 124 124 125 125 123 124 128 130 126 123 122 128 131 127 121 121 119 111 111 117 124 135 147 152 154 157 156 149 142 140 137 133 135 140 140 136 128 125 121 109 96 87 82 84 88 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 4 11 14 12 9 4 2 0 0 4 9 12 11 7 6 5 6 8 6 3 0 0 3 5 4 3 2 3 3 5 6 6 6 7 9 11 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 2 1 0 0 0 1 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 10 11 12 15 19 23 24 19 12 9 9 12 13 12 10 8 7 6 5 5 5 5 4 3 2 2 2 5 6 9 8 12 12 12 11 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 34 69 98 122 131 122 109 104 113 132 148 152 148 144 142 139 136 134 132 129 127 129 130 128 126 124 122 123 125 126 126 128 126 120 118 116 109 103 101 104 113 129 146 157 162 165 161 152 142 132 124 123 131 145 143 127 128 128 122 113 106 103 103 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 2 7 11 13 15 13 8 2 0 1 4 9 13 13 10 7 5 6 6 4 1 0 1 4 4 3 2 1 2 2 3 2 1 2 3 5 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 14 15 14 12 11 12 16 19 18 13 8 7 10 12 14 13 11 8 7 6 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 5 6 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 10 45 76 98 123 133 123 108 107 121 139 148 146 141 140 141 142 140 138 133 129 129 130 129 125 120 116 117 123 131 133 131 126 117 109 105 104 103 102 102 108 121 142 162 169 172 168 151 134 127 122 121 128 144 140 127 128 135 136 130 123 122 119 111 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 1 2 4 6 11 15 15 10 2 0 1 2 7 12 14 13 9 8 8 6 3 0 1 2 3 2 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 4 7 9 11 14 15 13 10 9 8 8 8 9 8 6 6 7 9 12 13 13 12 10 9 7 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 4 1 0 0 0 0 1 9 26 17 3 0 0 4 33 62 75 100 127 129 113 104 113 131 141 143 134 128 128 130 134 138 136 133 131 132 131 124 118 114 115 123 137 148 145 130 115 107 104 105 105 105 107 111 118 132 158 169 174 166 143 131 130 130 131 132 132 127 123 128 138 132 121 122 129 125 112 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 3 8 14 19 17 10 4 1 2 6 11 14 14 13 12 10 6 3 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 6 5 4 4 3 2 2 2 1 1 1 2 2 3 3 1 0 0 0 4 9 11 12 13 14 13 10 9 8 8 7 6 5 5 6 7 8 11 15 14 12 13 12 9 8 8 7 6 5 4 4 4 4 4 3 3 3 4 3 3 3 3 4 4 5 6 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 2 5 3 0 0 0 1 4 1 1 2 3 2 4 6 5 2 0 0 0 0 2 17 42 43 17 0 0 6 32 65 75 89 117 130 118 103 105 124 138 140 134 123 120 120 126 134 138 138 136 138 140 132 124 121 121 130 147 166 160 134 114 108 109 108 107 109 112 114 117 125 144 164 173 165 143 133 134 134 132 130 117 102 107 117 127 115 101 112 132 129 113 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 0 0 0 0 0 0 0 2 6 12 18 18 14 7 2 2 5 9 12 13 13 12 9 6 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 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 8 7 7 6 5 6 6 5 5 5 5 5 4 3 1 0 0 0 5 10 11 12 12 12 11 9 8 7 7 7 6 5 6 7 8 11 22 26 23 16 11 10 9 8 7 7 7 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 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 0 0 0 0 0 0 0 0 0 0 0 4 12 17 9 4 1 1 3 2 8 7 9 8 4 2 2 1 0 0 0 0 2 4 14 38 57 35 5 0 3 23 69 89 102 120 134 123 100 98 118 138 138 137 131 128 128 129 133 139 141 139 139 141 135 126 128 129 138 155 174 167 137 114 108 110 111 113 117 118 117 116 119 130 152 168 166 153 140 135 130 126 122 111 92 82 96 113 110 107 125 138 132 118 107 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 3 0 0 0 0 0 0 0 0 1 6 15 20 18 12 7 4 5 8 11 13 13 12 10 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 1 2 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 8 9 9 8 7 8 8 8 7 6 6 5 4 2 0 0 0 0 2 6 9 10 11 11 10 8 7 6 7 7 6 7 8 9 10 17 30 33 29 20 11 10 8 7 6 7 8 7 6 6 5 4 4 4 4 4 5 5 5 4 4 4 5 5 5 6 5 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 2 2 0 6 20 26 16 10 5 4 6 7 9 12 15 12 7 4 2 1 0 0 0 1 4 6 10 25 47 44 18 3 2 22 62 92 119 130 136 124 102 96 110 128 135 137 137 134 133 133 134 138 141 140 138 135 130 127 129 133 142 158 177 174 149 127 117 110 110 116 122 123 120 115 114 119 136 156 165 162 154 143 127 120 119 107 86 72 91 116 127 135 142 144 136 126 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 8 6 2 0 0 0 0 0 0 0 0 1 7 15 22 24 17 10 6 6 9 14 16 15 12 8 6 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 1 2 2 2 2 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 8 7 7 7 7 6 5 4 2 0 0 0 0 0 0 0 2 6 8 9 9 8 7 6 6 7 8 8 8 10 10 10 17 26 27 22 14 10 8 7 7 6 7 8 7 7 6 5 5 4 5 5 5 6 6 6 5 5 5 6 6 6 6 6 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 4 5 1 3 15 18 11 8 4 2 3 3 5 8 12 12 10 7 5 2 0 0 0 1 4 8 8 13 24 34 28 12 7 26 55 84 113 130 137 129 108 94 100 114 126 133 134 133 133 131 130 138 141 142 138 133 127 126 129 136 146 159 173 176 167 153 140 124 113 114 120 122 120 115 111 110 121 145 162 166 168 165 140 128 123 113 100 97 117 140 153 155 148 143 138 134 131 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 4 3 1 0 0 0 0 0 0 0 0 0 1 5 14 24 25 20 14 11 14 20 22 19 12 6 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 1 1 2 2 1 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 1 2 5 6 6 6 6 6 7 7 7 8 9 10 10 10 12 13 13 12 9 8 8 8 7 7 7 7 6 6 5 5 4 4 5 5 6 6 7 7 6 6 6 7 7 7 6 6 7 11 14 15 11 8 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 5 11 12 11 8 2 1 3 1 0 0 0 0 3 7 8 9 8 7 4 0 0 0 0 2 6 7 6 7 18 23 19 20 35 52 76 103 122 134 136 118 96 91 100 112 122 129 132 132 133 128 138 141 142 138 133 130 128 128 134 142 154 167 174 176 175 167 150 129 116 114 116 116 113 109 103 109 135 156 164 172 172 162 153 147 132 117 128 150 161 161 154 145 141 141 141 141 139 nan 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 5 2 0 0 2 3 2 1 0 0 0 0 0 1 4 13 21 22 20 18 22 27 28 23 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 1 3 4 5 6 8 8 8 7 8 9 9 9 10 10 8 8 8 8 8 8 8 8 8 8 6 5 4 4 4 4 5 5 6 6 6 6 6 6 7 8 8 8 7 6 6 9 15 18 20 21 20 14 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 4 18 28 29 20 10 10 12 11 7 3 1 0 1 3 6 8 9 8 5 1 0 0 0 0 1 2 1 0 7 11 12 19 32 46 62 84 107 123 130 124 107 94 92 98 105 116 125 128 131 136 135 136 136 136 133 131 129 127 127 130 140 155 167 174 178 177 169 151 130 114 110 108 106 103 99 103 123 148 166 174 173 168 166 166 148 124 135 159 163 155 146 142 141 142 137 131 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 22 15 10 6 5 7 10 12 10 6 2 0 0 0 0 1 4 10 14 15 17 19 24 26 24 14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 9 8 6 8 9 8 8 7 8 9 9 9 8 9 9 9 8 8 7 6 5 4 3 3 4 6 7 7 7 7 7 7 7 7 9 10 9 8 7 7 9 12 14 17 19 21 21 18 12 6 2 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 29 37 34 30 31 35 34 26 15 5 0 1 4 7 10 10 7 2 0 0 0 0 0 0 0 0 0 1 0 2 7 14 24 39 56 80 102 113 116 114 104 90 90 94 98 109 120 126 127 126 127 129 130 130 130 129 126 123 122 126 138 151 161 165 165 164 157 142 122 109 103 100 100 101 103 115 137 155 164 162 158 154 154 151 139 139 155 160 148 140 138 134 123 101 86 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 26 26 26 24 21 18 17 18 20 20 16 8 1 0 0 0 0 0 2 4 5 8 14 19 21 20 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 12 11 9 8 6 6 6 6 6 6 7 8 9 9 9 9 9 8 7 7 6 6 6 4 3 4 5 6 6 7 7 7 7 6 7 7 8 9 8 8 7 7 8 9 9 9 9 12 15 18 17 13 8 4 2 0 0 2 7 7 3 0 0 0 0 0 0 0 0 1 0 1 2 2 1 0 0 3 11 18 21 21 24 32 40 44 40 30 12 1 1 8 12 14 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 14 31 49 75 94 104 115 116 93 88 89 89 94 103 113 117 118 119 121 123 127 131 131 127 123 122 123 127 134 142 145 147 155 156 145 126 112 106 105 111 117 117 118 128 139 145 157 158 144 137 139 141 142 149 154 149 142 135 128 108 77 58 74 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 26 24 24 25 27 27 26 24 23 24 23 17 8 3 2 3 1 0 0 0 0 2 8 12 14 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 11 13 12 10 8 6 5 5 5 5 5 7 7 8 9 9 9 8 7 6 6 6 6 6 5 4 4 5 5 3 4 5 5 6 6 6 6 8 8 8 8 8 8 8 8 8 7 6 6 7 8 10 14 14 11 8 6 7 12 15 11 4 1 1 2 4 6 5 6 8 9 7 10 10 5 1 0 0 2 8 15 14 11 10 12 20 26 26 22 11 1 0 8 15 18 17 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 26 46 72 94 112 118 105 91 85 84 84 86 90 98 106 112 117 119 123 127 129 126 124 126 130 127 127 126 127 135 150 155 144 125 114 112 119 134 144 138 126 123 130 142 161 170 155 139 136 134 134 138 141 142 145 148 143 126 106 91 95 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 29 26 22 20 21 24 25 22 20 20 20 18 12 7 6 6 4 2 1 0 0 0 2 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 10 10 11 10 8 7 6 6 6 5 6 7 8 8 8 8 8 8 7 7 6 6 7 6 5 4 4 5 5 4 1 1 2 2 2 3 4 5 6 7 7 7 7 8 8 8 8 7 7 6 5 5 5 8 13 17 16 15 16 19 20 15 8 5 5 10 14 16 15 16 17 18 17 15 10 3 0 0 0 0 4 12 16 14 11 10 10 8 7 5 1 0 0 4 14 19 20 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 24 46 74 103 119 117 98 83 79 78 76 72 74 84 98 110 118 122 126 127 125 122 123 128 128 125 121 118 126 142 152 144 127 117 121 134 155 164 149 128 114 119 147 161 165 158 144 135 132 131 131 134 137 143 153 159 151 138 135 132 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 24 25 23 19 18 19 20 18 13 12 12 11 9 7 7 7 6 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 12 11 10 8 8 7 6 5 5 5 6 6 7 8 8 8 8 8 8 8 7 6 7 9 12 10 6 4 5 5 5 4 0 0 0 0 0 0 1 3 5 6 7 6 6 7 8 8 8 8 7 5 4 4 4 5 8 15 19 20 21 22 20 13 9 9 13 18 20 21 21 20 20 19 19 16 10 4 0 0 0 0 1 4 9 12 13 14 12 3 1 0 0 0 0 0 9 18 26 24 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 23 43 74 105 119 107 87 77 75 72 66 62 66 76 90 106 120 124 124 122 124 123 124 129 126 120 116 120 136 154 152 139 130 136 153 170 167 150 126 108 107 122 138 142 138 127 118 119 125 129 131 135 139 142 150 151 138 126 130 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 15 18 19 19 17 18 18 18 16 13 10 8 6 7 7 6 5 5 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 11 10 8 6 6 6 5 4 2 2 4 6 7 8 9 8 8 7 6 7 7 7 6 8 14 19 16 7 5 5 6 5 4 0 0 0 0 0 0 1 3 5 6 6 6 6 6 7 7 7 6 5 3 2 2 3 4 5 8 14 17 19 21 17 10 6 4 12 18 20 20 21 20 19 18 18 17 14 9 4 1 0 0 0 0 1 3 6 8 7 2 0 0 0 0 0 0 6 15 30 38 23 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 20 38 65 95 106 96 81 70 63 59 53 53 58 65 80 102 118 121 120 124 126 130 135 132 123 119 122 135 153 158 153 148 152 165 171 162 151 135 115 106 108 112 114 112 104 98 102 113 123 128 132 130 130 136 139 130 120 120 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 9 10 11 12 12 14 15 17 18 18 16 12 9 8 8 8 7 6 6 7 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 9 9 7 4 4 5 4 3 2 1 2 4 6 8 9 8 8 8 7 6 6 7 7 6 10 18 21 16 6 5 6 5 4 3 2 1 0 0 0 0 2 4 6 6 6 6 6 7 7 7 6 3 1 0 0 0 2 3 4 6 7 8 11 13 15 12 8 6 10 14 16 18 19 19 17 17 17 17 17 16 12 6 1 0 0 0 0 1 2 4 1 0 0 0 0 0 0 1 4 13 31 46 34 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 15 27 51 83 96 87 65 47 41 38 36 37 42 54 74 100 116 119 120 125 132 141 140 131 127 131 141 157 163 159 155 159 162 162 157 154 146 130 118 112 106 101 98 94 92 97 105 117 125 132 134 132 133 132 126 123 124 133 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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