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