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 8 10 10 10 8 7 6 5 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 8 8 7 6 5 6 5 5 5 5 4 4 5 5 6 6 6 6 7 7 6 6 6 6 4 3 3 1 1 2 5 3 4 6 3 -3 4 6 2 2 5 2 5 10 8 4 3 5 6 7 8 5 4 7 7 5 8 7 2 -0 4 11 10 2 -1 9 18 10 -3 -4 -0 2 4 2 0 3 3 0 -2 -4 -3 2 7 10 5 -0 3 6 5 2 -1 -1 2 5 5 11 30 43 31 13 6 4 3 4 4 4 3 3 3 3 3 4 5 6 7 8 9 10 11 14 18 20 18 13 10 7 5 4 3 2 2 2 3 4 4 4 4 4 4 3 3 4 4 5 6 5 5 5 4 4 3 3 4 4 3 3 4 5 4 4 4 5 5 4 4 5 6 5 3 1 4 4 4 4 4 4 4 5 5 6 6 5 5 5 4 4 5 4 4 3 3 3 3 4 5 5 5 6 7 9 10 9 7 6 4 3 3 4 5 5 5 4 5 5 4 4 4 4 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 7 14 19 14 10 10 12 13 7 3 -1 -6 -9 -2 2 1 6 6 4 5 5 2 1 -1 -5 -6 -5 -5 -4 -1 3 5 5 6 6 7 8 10 11 13 12 10 10 11 12 13 13 12 10 9 9 8 8 9 11 12 12 10 10 11 11 10 8 5 3 2 1 1 3 7 9 8 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 nan 7 7 8 10 10 10 8 7 6 5 5 5 5 5 6 6 6 5 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 3 2 2 2 2 1 1 2 2 2 2 3 3 3 4 4 4 3 3 3 3 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 5 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 5 6 6 7 7 7 8 9 8 7 6 6 5 5 5 5 4 4 5 6 6 6 6 5 6 7 6 6 6 5 4 2 2 -0 -1 4 7 3 5 13 7 1 5 2 5 5 6 3 2 3 7 9 8 6 9 16 12 7 6 6 6 6 10 8 3 2 6 12 13 5 -4 3 15 12 1 -3 -2 6 11 8 4 2 3 3 2 -0 -3 0 8 11 6 -1 -0 2 3 5 6 6 7 10 15 26 38 35 19 8 5 4 4 4 4 4 4 3 3 4 4 4 5 6 6 7 8 9 9 11 14 18 19 17 13 10 8 5 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 5 7 6 5 5 3 3 4 5 6 4 4 4 4 4 4 5 6 5 5 4 4 4 3 -1 -0 3 3 2 3 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 3 3 3 4 5 5 5 6 6 7 9 11 10 8 6 4 3 3 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 8 14 17 15 13 11 12 11 9 9 5 2 2 4 4 6 6 6 9 8 2 0 2 2 -1 -2 -2 -3 -1 1 4 5 6 5 4 4 5 7 10 9 6 6 7 8 10 11 11 10 8 7 7 6 6 7 10 11 10 10 10 10 10 8 6 4 3 2 1 3 7 10 9 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 6 7 7 8 9 9 9 8 8 7 6 5 5 5 6 6 7 7 6 6 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 1 1 1 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 5 4 3 3 3 3 4 4 5 4 4 4 4 5 6 7 7 8 8 9 9 9 7 6 5 6 6 5 5 4 4 4 6 6 7 6 6 6 6 7 6 6 5 3 2 -0 -2 2 8 3 1 7 14 6 3 4 1 5 7 6 4 1 1 4 7 8 3 5 12 10 6 4 4 4 6 8 7 6 8 8 10 14 9 3 6 9 7 4 3 5 10 10 9 7 6 7 5 3 2 1 2 5 8 5 1 -0 1 3 6 10 11 12 15 26 39 38 22 9 6 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 8 8 8 10 14 17 17 16 14 11 8 5 5 4 4 5 5 5 5 5 4 3 3 3 3 2 3 5 5 5 6 5 4 4 5 6 5 5 5 4 5 5 5 5 6 6 5 5 4 3 3 -3 -6 -0 2 -0 -1 2 5 6 6 6 6 5 4 5 6 5 4 4 4 3 2 2 3 4 5 5 6 6 6 6 8 10 11 9 6 5 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 3 3 3 3 3 3 4 4 4 4 3 3 4 4 5 5 5 5 4 4 4 4 3 4 6 11 13 14 11 8 7 6 6 5 5 5 6 6 5 4 4 7 7 4 2 3 6 6 5 4 3 3 3 3 5 7 6 4 4 5 5 6 6 5 5 5 6 6 7 7 7 7 6 5 5 5 5 6 8 9 9 9 8 9 8 6 5 4 3 2 4 10 13 11 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 6 7 7 7 8 9 9 9 8 7 7 6 5 5 6 7 8 8 8 7 6 5 4 4 3 3 3 3 3 2 2 2 2 2 1 1 1 2 3 2 3 3 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 1 1 2 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 5 5 5 5 5 6 6 7 8 8 8 10 10 9 8 7 6 6 6 5 5 5 4 4 6 6 6 6 6 6 6 7 7 5 4 3 2 -1 -4 2 8 0 -2 4 8 6 4 4 5 3 8 9 4 -0 3 4 5 5 2 1 3 5 3 4 3 2 4 5 5 8 9 8 7 12 12 10 12 12 8 4 6 12 13 6 2 4 11 15 9 2 -3 -1 2 5 6 4 2 1 2 4 7 10 14 18 26 37 40 27 11 5 5 4 3 4 4 4 4 4 4 3 4 4 3 4 5 6 6 7 7 7 7 8 10 12 15 16 15 13 11 8 6 6 6 6 6 5 5 4 4 3 3 3 4 3 5 5 5 6 6 5 5 5 5 5 4 5 5 5 5 6 5 5 5 6 6 6 5 4 5 1 -6 -5 1 1 -1 1 6 7 7 6 5 3 4 6 7 5 4 3 3 3 2 2 3 4 5 5 6 6 6 6 7 9 10 8 6 6 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 2 2 3 4 7 11 11 7 5 4 3 3 3 4 7 9 7 3 3 5 6 6 6 6 7 8 9 7 5 4 4 4 6 8 6 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 6 7 8 8 8 8 7 4 4 4 3 1 5 16 20 13 7 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 5 5 6 6 6 8 8 8 8 8 8 7 6 5 6 7 9 9 9 8 6 5 5 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 2 2 1 2 3 3 3 3 3 2 2 2 2 1 2 2 1 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 3 4 4 4 5 5 6 6 6 6 6 7 8 9 8 8 9 10 10 8 7 6 6 6 6 5 5 5 5 5 6 6 7 7 6 7 7 6 5 4 3 3 0 -4 -2 5 5 4 5 3 3 9 8 7 2 6 12 6 -0 3 7 7 2 2 1 1 0 1 2 2 1 3 5 3 6 7 6 7 10 11 9 9 12 13 8 7 10 11 10 3 4 10 11 9 5 2 2 2 3 2 2 3 3 3 4 6 10 16 27 37 39 28 14 6 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 5 5 6 6 7 7 7 7 8 9 11 13 14 14 12 10 8 7 7 6 5 5 5 4 4 4 4 5 4 5 7 8 8 6 6 5 5 5 5 5 4 5 6 6 6 5 5 6 6 6 7 6 6 6 6 4 -1 -6 -2 5 7 5 6 8 8 6 4 3 4 5 6 5 4 3 3 3 3 3 3 4 4 5 6 6 6 6 7 8 8 7 6 7 6 7 6 4 3 3 4 3 4 4 4 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 1 0 0 0 1 1 1 2 5 8 7 5 5 4 4 3 3 6 9 8 6 5 5 6 7 8 8 8 9 9 7 5 4 3 4 6 7 7 5 4 5 5 6 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 6 7 8 8 8 6 4 3 3 2 1 5 21 26 13 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 nan nan 3 3 3 3 4 4 4 5 7 7 7 7 8 8 8 7 6 5 6 7 8 8 9 7 7 6 5 4 4 4 4 4 3 3 3 3 2 3 2 2 2 3 3 3 3 2 2 3 3 3 3 3 2 2 2 2 1 2 2 2 2 2 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 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 4 4 4 4 5 5 5 6 6 7 7 7 8 8 8 8 8 10 11 10 9 7 6 6 7 7 6 5 5 5 5 6 7 7 7 7 7 7 6 5 5 4 4 2 -0 2 8 9 6 6 2 1 11 11 5 3 3 7 7 3 3 8 7 2 3 2 0 -2 -0 1 2 3 6 9 6 4 4 5 7 7 5 7 5 5 8 8 6 5 4 8 10 9 6 6 8 8 9 7 3 2 3 5 7 6 4 3 6 11 19 31 36 27 14 6 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 4 5 6 5 6 6 7 7 7 7 8 9 10 11 12 12 11 9 8 7 6 5 5 4 4 4 4 5 5 5 6 7 8 8 6 4 5 5 5 5 5 5 5 6 6 6 5 5 6 6 7 8 8 7 6 6 6 4 -1 -3 2 8 7 7 9 8 6 4 4 5 6 6 5 4 4 4 4 4 3 3 4 4 5 6 6 7 7 7 6 7 6 6 7 8 7 7 4 3 3 3 3 3 3 3 4 5 5 5 6 6 5 6 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 0 -2 -3 -3 -1 -0 -1 1 3 4 5 5 5 5 5 5 4 4 6 7 7 7 6 6 8 8 7 9 12 10 6 4 4 3 3 5 6 6 5 4 4 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 5 6 6 6 7 8 8 8 8 7 5 4 3 3 3 5 16 20 12 7 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 4 3 3 3 3 4 4 5 6 6 6 6 6 7 8 8 7 6 5 6 6 7 8 8 8 7 6 5 5 5 4 4 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 2 2 2 2 3 3 3 2 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 3 4 4 3 3 3 3 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 3 4 4 4 4 5 5 5 6 6 7 7 6 8 8 8 8 8 8 10 12 11 8 7 6 6 7 7 7 6 5 5 5 6 7 7 7 7 7 7 6 5 4 5 4 4 3 5 10 9 6 8 6 4 7 4 2 5 4 4 5 5 4 7 5 1 4 5 2 1 2 3 3 5 9 8 8 5 4 5 5 1 -2 5 7 4 2 3 2 5 5 3 6 6 5 3 1 6 9 8 4 3 7 8 7 6 4 3 6 10 20 31 27 14 6 4 4 4 4 3 4 4 4 3 3 3 3 4 4 3 3 4 5 6 5 6 6 6 7 7 7 7 7 8 9 10 10 10 9 7 6 5 5 5 5 5 4 4 5 5 5 5 6 7 7 6 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 9 8 7 6 6 7 5 -0 -3 0 5 7 8 7 5 4 5 6 7 6 5 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 6 6 7 7 8 9 8 6 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 5 5 5 5 5 5 5 4 4 5 4 3 3 3 3 2 -1 -2 -2 -0 2 1 2 4 4 5 6 6 4 4 5 5 4 5 4 3 4 4 7 9 8 8 10 11 9 6 4 3 3 2 3 4 4 3 3 4 4 4 6 7 8 8 7 5 4 4 3 3 3 4 4 5 6 7 8 9 10 10 9 8 7 6 5 5 5 4 4 8 12 11 8 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 3 2 2 3 4 4 4 5 7 6 5 5 6 7 7 7 7 7 6 6 6 7 7 8 9 7 6 5 5 5 4 4 4 3 4 4 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 7 6 6 7 8 7 7 8 9 12 12 10 8 7 6 6 7 7 7 6 5 5 5 6 7 7 8 7 7 7 7 5 4 4 4 4 3 3 5 7 9 13 11 7 8 5 2 3 5 5 5 5 6 6 1 -1 4 6 4 3 4 3 4 6 7 5 6 5 6 6 2 -4 -4 6 11 8 2 -0 -0 6 6 3 4 4 4 3 -1 2 5 4 2 6 11 10 5 2 2 4 6 10 23 29 19 8 5 4 4 3 3 3 4 4 4 4 3 3 3 4 4 3 3 4 5 5 5 5 6 6 6 7 7 7 7 7 8 8 9 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 8 8 6 6 7 7 6 6 6 5 5 6 7 7 7 5 5 6 7 8 8 7 6 7 7 8 7 1 -2 1 3 4 5 4 3 4 5 5 6 6 5 4 4 4 5 5 4 4 4 4 5 6 6 7 7 7 6 6 6 7 8 10 10 8 5 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 6 5 4 3 4 5 3 2 2 3 4 4 5 5 5 5 5 6 5 4 4 5 5 5 4 0 -1 1 6 7 8 8 9 10 9 7 5 3 2 2 3 4 4 2 1 1 3 4 5 7 9 10 8 6 4 3 3 3 4 5 5 5 6 8 9 11 12 12 11 10 10 9 8 7 7 6 4 6 8 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 3 2 2 3 3 2 3 5 6 6 6 4 3 4 5 5 6 6 7 7 6 6 7 7 7 7 7 6 5 5 5 4 4 3 4 4 3 3 2 2 1 2 2 3 2 2 3 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 3 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 4 4 4 5 6 6 6 6 6 7 7 7 6 8 10 12 11 9 8 7 6 6 6 7 7 6 5 5 6 6 7 8 8 8 7 7 7 5 4 4 4 4 4 2 2 4 8 12 10 8 10 8 6 8 7 4 3 4 6 7 2 1 3 4 6 5 7 6 6 6 6 4 4 5 7 7 0 -3 0 6 12 10 5 0 1 4 4 5 8 7 6 4 2 4 6 0 1 5 10 7 2 1 3 5 7 13 25 25 12 5 5 4 4 3 3 3 4 4 3 3 3 3 4 4 4 3 3 4 5 5 5 5 6 6 6 6 6 6 6 7 8 8 8 7 7 7 6 6 6 5 5 4 4 5 4 4 4 4 5 6 9 13 12 10 8 7 6 6 6 6 5 4 4 6 6 5 5 5 5 5 7 8 8 7 8 8 9 6 1 0 2 1 1 2 2 3 3 3 4 6 6 5 4 5 6 5 5 4 4 4 4 5 6 7 8 8 6 6 6 6 8 9 9 9 7 5 4 2 3 2 2 2 3 3 3 3 4 4 5 5 5 6 6 6 6 6 5 5 5 5 6 8 8 5 4 5 5 4 3 3 4 5 5 5 5 5 4 5 6 6 4 4 5 7 6 1 -2 1 4 6 7 7 8 9 10 10 7 4 2 2 4 5 5 3 1 -1 0 3 5 7 9 10 8 5 3 3 4 4 4 5 5 5 6 7 9 11 13 15 17 18 18 16 14 11 9 8 6 8 8 5 4 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 6 5 3 3 4 3 2 2 3 4 6 6 3 2 3 3 3 4 5 5 6 6 6 6 6 7 7 7 6 5 5 5 4 3 3 3 4 4 3 2 2 1 1 2 2 2 2 2 3 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 7 6 6 7 8 10 10 9 9 8 7 7 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 6 6 5 4 4 4 4 3 3 7 10 8 6 6 5 4 6 9 9 7 5 4 4 6 6 5 4 6 11 11 11 11 8 6 5 4 2 3 6 6 2 3 6 7 9 8 5 1 3 4 6 7 5 6 7 2 3 5 8 7 4 6 8 5 2 2 6 8 8 17 25 18 7 4 3 3 3 3 4 3 4 3 3 3 3 4 4 4 4 3 3 4 5 4 4 5 5 7 7 6 5 5 6 6 7 7 7 7 7 7 7 7 6 5 4 4 4 4 4 3 3 3 4 6 9 14 16 15 13 11 10 8 7 6 5 4 3 4 5 6 5 4 4 5 7 9 9 7 7 8 8 6 3 3 3 2 0 1 1 1 2 3 3 4 5 5 5 5 6 6 5 5 4 4 4 4 5 7 7 7 6 5 5 6 6 7 8 9 8 7 6 4 3 2 2 1 1 2 3 3 4 4 4 5 5 6 6 6 6 5 5 5 4 4 5 7 11 11 6 5 6 5 4 3 4 5 5 5 5 5 5 5 6 7 5 3 4 7 8 5 2 2 4 5 6 6 5 7 9 11 10 7 4 3 4 5 6 5 4 3 1 3 5 6 8 8 7 5 4 4 4 4 5 5 5 5 6 8 9 10 12 17 24 29 28 25 21 18 13 10 8 6 7 6 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 6 4 3 4 5 4 3 2 2 2 4 5 3 2 1 2 2 2 3 3 4 5 5 4 5 6 6 6 5 5 5 5 4 3 3 2 2 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 3 4 3 3 3 4 4 4 4 3 4 4 4 4 4 4 3 4 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 7 8 9 9 8 8 7 7 7 6 6 6 6 6 6 5 6 7 8 9 9 8 7 7 6 6 5 4 4 3 3 3 5 10 15 10 5 4 2 1 4 7 9 7 4 2 2 5 10 9 6 7 9 11 11 10 7 4 4 6 5 3 3 4 4 9 9 6 8 6 4 2 5 5 7 5 5 6 4 1 1 3 7 9 11 12 10 6 3 4 5 4 6 18 22 13 5 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 5 4 4 5 5 7 7 7 6 5 5 5 6 7 7 7 7 7 7 6 6 5 4 4 4 3 3 2 2 2 3 4 5 8 12 15 15 15 15 12 10 9 8 8 6 5 5 6 5 5 6 7 8 9 9 8 8 9 9 8 6 5 5 3 2 1 1 1 1 2 3 4 4 5 5 5 6 7 6 5 5 5 4 4 4 5 6 6 6 4 3 3 5 6 6 6 7 8 8 7 6 5 3 2 1 1 2 3 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 5 9 11 9 6 5 5 4 3 3 4 5 5 5 5 5 4 5 8 8 5 4 6 7 6 5 4 4 4 4 5 5 5 6 9 11 9 6 5 4 4 6 5 4 5 3 3 4 5 6 6 6 4 4 4 4 4 5 5 6 6 6 9 10 9 11 16 24 31 28 24 26 31 29 21 10 4 6 9 7 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 5 4 4 5 6 5 3 3 2 2 3 4 4 2 1 1 2 1 1 1 2 3 4 3 3 4 5 5 5 5 5 4 4 3 3 2 2 2 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 3 4 3 3 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 5 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 6 6 7 8 8 7 8 8 8 8 7 7 6 6 6 6 6 6 5 5 7 8 9 9 8 6 6 7 6 5 4 3 3 3 4 8 16 19 13 9 2 -1 2 6 8 9 5 3 1 1 5 9 9 6 3 1 6 10 10 6 1 1 6 9 6 3 4 6 9 7 4 4 4 4 4 3 5 5 2 4 3 5 5 3 1 2 6 11 14 13 7 3 3 1 -1 7 20 19 9 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 5 4 4 4 5 7 8 7 6 6 5 4 5 6 6 6 7 7 7 6 6 5 4 3 3 3 2 2 2 2 2 2 3 4 5 8 9 10 11 11 11 11 11 11 11 9 8 7 6 7 8 8 9 11 12 13 14 13 12 9 7 5 6 6 4 2 2 1 2 2 3 4 5 5 5 5 5 6 6 6 5 5 4 4 3 3 4 5 5 4 0 -4 -3 2 5 6 6 6 7 8 8 8 7 6 3 1 0 1 3 4 4 4 3 4 4 4 4 3 2 1 1 1 2 3 6 8 7 5 5 4 3 3 4 4 5 5 4 4 4 4 5 7 8 6 4 6 6 6 5 4 4 4 4 4 3 3 4 7 9 9 7 5 4 4 4 3 3 3 3 3 4 4 5 5 5 5 4 4 5 4 5 5 5 6 7 9 9 9 10 12 16 19 16 15 27 47 54 38 16 6 7 8 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 5 4 5 7 6 5 3 4 3 3 3 4 4 3 2 1 2 1 1 1 1 1 2 2 3 3 4 4 5 5 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 7 7 7 8 7 8 8 8 8 8 8 8 7 6 6 6 6 6 6 5 7 8 10 10 8 6 6 6 6 5 4 4 3 4 6 11 19 16 8 8 1 -1 4 6 1 4 8 9 3 2 4 6 8 7 4 -0 2 8 11 9 3 -0 -0 4 8 6 6 6 3 4 4 2 2 3 3 1 5 4 1 2 2 8 6 3 -0 -1 5 10 13 12 6 2 2 1 3 13 21 16 8 4 4 3 3 4 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 7 6 6 5 4 5 5 5 6 6 7 6 6 6 5 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 5 6 8 9 9 10 11 11 12 12 10 10 13 15 14 13 14 15 15 14 11 6 5 6 7 6 5 3 3 2 2 3 3 4 5 5 5 5 5 5 6 6 6 5 4 3 3 3 3 5 5 2 -3 -8 -5 2 5 5 6 6 7 8 9 9 9 8 6 3 1 1 2 3 4 4 3 2 2 2 2 1 -1 -2 -1 0 1 2 4 5 5 5 4 3 3 4 5 5 5 3 2 4 6 6 6 6 4 5 6 6 6 5 5 4 4 4 4 3 3 4 5 7 8 8 6 5 4 3 2 3 4 3 3 4 4 4 5 5 4 4 4 5 5 5 5 6 7 8 9 9 8 9 9 10 7 5 8 24 52 68 47 18 8 9 9 7 6 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 4 4 4 3 5 7 7 5 4 4 4 3 3 4 5 4 3 2 2 3 2 1 1 1 1 2 2 2 2 3 4 5 5 4 4 4 3 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 3 2 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 5 5 5 4 4 4 4 5 5 5 5 6 5 5 4 4 5 5 5 5 5 6 6 6 6 7 8 8 8 8 8 9 9 9 9 9 9 7 6 6 7 7 7 6 6 7 9 10 10 8 7 7 7 6 5 4 4 3 5 8 10 13 7 4 3 1 4 2 4 -1 5 12 10 5 2 2 6 7 7 7 4 3 7 11 12 10 6 -0 -3 3 8 8 6 2 6 7 3 2 2 3 3 4 4 4 4 8 11 7 -1 -2 2 6 11 12 10 4 2 3 4 9 17 20 13 6 4 4 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 5 4 4 4 4 4 4 4 5 6 7 6 5 5 5 4 4 3 4 5 6 5 5 5 4 3 3 3 3 3 3 3 3 3 2 2 1 1 1 1 1 1 1 3 4 5 6 8 10 11 13 13 13 13 13 12 10 8 8 9 11 12 10 6 5 6 7 7 6 5 4 3 3 3 4 4 5 4 3 3 4 3 1 4 6 6 5 4 4 3 3 5 7 7 5 1 -3 0 5 5 6 6 6 7 8 9 9 10 10 9 6 3 1 -1 -1 1 3 2 -1 -1 0 1 0 1 1 1 3 3 4 3 4 5 5 5 4 6 8 7 4 3 2 5 7 7 6 5 5 6 7 6 6 5 5 5 4 4 4 3 3 3 5 6 8 8 8 7 5 4 3 3 4 4 4 4 4 4 5 4 4 4 4 3 5 5 5 6 7 8 8 8 8 7 8 8 6 4 5 15 35 51 41 19 9 9 9 7 5 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 3 3 2 2 4 6 7 5 5 4 4 3 3 4 4 4 3 2 3 4 3 2 1 1 2 2 1 1 1 2 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 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 4 4 4 4 4 3 2 3 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 7 8 8 9 9 9 9 10 10 9 10 9 9 7 6 5 6 7 7 7 8 9 10 11 10 9 8 9 8 6 5 4 4 3 6 9 8 6 3 6 3 5 8 1 -2 3 5 12 10 7 2 2 6 6 5 11 13 8 5 8 11 12 12 6 1 3 5 5 6 7 7 7 6 4 6 8 6 4 5 6 7 11 13 11 2 1 5 9 10 11 8 4 2 3 5 12 19 18 10 5 4 4 4 4 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 2 3 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 2 2 3 3 3 3 4 5 6 7 8 8 7 9 9 6 4 5 5 6 6 7 8 8 6 6 6 7 7 7 6 5 5 4 4 5 5 5 5 3 1 3 2 -3 -4 1 6 6 6 5 4 4 5 8 10 9 7 6 4 5 6 6 6 6 6 7 7 7 7 9 9 9 7 4 -1 -5 -5 -3 -3 -5 -4 -1 1 2 4 5 4 5 5 4 3 4 5 6 5 5 6 10 10 6 5 5 6 7 7 6 4 5 7 7 6 5 5 5 5 4 4 3 3 3 4 4 6 8 10 10 9 7 5 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 5 5 5 6 7 8 8 7 7 7 7 8 6 5 8 13 19 22 16 9 7 8 7 6 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 2 2 1 2 5 5 5 5 5 5 4 3 3 3 4 4 3 3 3 3 2 2 2 2 2 2 1 0 1 1 3 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 2 3 2 2 3 3 2 2 3 3 4 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 7 8 7 8 9 9 10 10 10 10 11 10 9 9 9 8 7 5 5 6 7 8 8 9 11 11 11 11 10 9 10 9 7 5 4 3 4 6 7 6 5 5 9 5 9 7 5 -1 9 3 8 10 11 7 5 4 4 4 10 13 9 3 5 11 12 12 6 4 6 4 1 4 8 7 7 6 5 8 9 6 4 6 7 10 11 11 12 8 7 7 8 10 9 7 5 4 4 7 14 19 14 7 4 4 4 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 1 1 1 1 2 3 4 5 4 4 3 3 3 3 3 4 4 4 3 4 4 4 4 5 6 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 6 7 9 9 6 5 6 2 -4 -4 1 6 6 6 6 5 5 8 11 12 8 7 6 5 6 5 5 5 5 5 4 4 5 4 4 5 8 8 4 -2 -8 -9 -7 -5 -2 -1 0 1 3 4 4 4 3 3 3 3 4 5 6 3 2 6 8 7 7 8 7 7 7 6 5 5 6 7 6 5 5 5 5 5 3 2 3 4 4 4 5 7 11 15 13 8 6 5 4 4 4 4 4 4 5 5 5 5 5 4 5 4 5 5 5 6 7 7 7 7 7 7 7 7 6 4 4 4 3 6 7 6 7 7 7 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 1 2 1 1 3 4 3 3 4 5 5 4 3 2 1 4 5 4 3 3 3 3 2 3 2 2 2 1 0 -0 0 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 3 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 2 2 3 4 5 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 8 9 10 11 12 12 12 11 11 11 10 9 9 8 7 6 6 5 5 6 8 10 12 12 13 12 12 10 10 9 8 7 5 4 3 4 6 6 4 4 6 8 7 6 5 9 10 13 6 6 12 13 11 10 3 4 5 5 5 3 0 4 10 12 10 2 1 5 2 -0 1 3 7 10 6 3 6 7 5 4 6 8 10 11 8 8 10 10 5 5 9 7 6 6 5 5 8 15 17 10 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 5 5 5 5 4 3 3 2 2 2 1 1 1 -0 -0 0 1 1 1 1 1 1 1 1 2 3 4 5 5 5 4 3 2 1 1 2 2 3 3 2 3 4 4 4 5 5 6 7 7 7 8 8 8 7 7 6 6 6 6 6 5 5 6 7 9 12 12 10 11 10 4 -1 -2 1 5 5 5 5 5 6 8 10 8 4 4 4 4 4 4 3 3 2 1 -1 1 2 -1 -1 3 7 8 6 1 -1 -1 -2 -1 -0 -0 1 1 2 3 2 1 1 3 4 5 6 7 6 2 3 6 7 7 8 8 8 8 7 6 5 6 6 6 6 5 5 5 5 4 2 3 4 5 4 4 4 10 19 18 11 6 5 5 5 4 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 6 6 7 8 7 5 5 5 4 3 2 0 -1 1 5 7 7 7 6 5 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 -0 -0 1 3 3 2 1 2 4 5 5 3 1 -0 2 4 4 4 4 3 3 2 2 2 3 3 1 -0 -1 -0 1 2 2 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 5 4 3 3 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 4 5 4 4 4 4 4 4 4 5 4 4 4 5 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 7 9 10 12 14 15 15 13 11 11 10 10 9 9 8 6 6 6 6 5 6 8 11 13 13 13 13 12 10 9 9 8 6 5 3 2 3 6 6 5 5 7 9 7 2 4 5 9 7 6 5 11 10 8 10 5 5 4 4 5 -1 -2 3 8 11 10 2 -0 3 3 2 -0 -0 6 10 4 -1 1 4 5 5 6 7 10 9 6 6 10 9 2 2 6 6 6 6 5 6 9 14 14 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 5 5 5 5 5 4 5 4 3 2 2 2 1 1 0 1 1 1 1 2 2 2 2 2 2 3 4 5 5 4 4 3 2 2 2 3 4 3 3 2 3 4 4 4 4 5 5 6 6 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 9 9 10 11 8 3 -1 -2 1 2 2 1 3 5 5 6 5 4 4 3 3 3 2 1 0 -0 -1 -3 -3 -1 0 0 1 5 8 9 8 7 6 3 1 1 0 1 2 3 3 2 1 2 4 5 5 7 9 8 7 5 6 7 8 8 8 8 8 8 7 6 6 6 5 5 4 4 5 6 5 3 3 4 5 4 3 3 9 16 18 13 8 7 6 5 5 4 4 4 4 4 5 5 5 5 5 4 5 5 4 5 5 5 5 7 8 7 5 5 4 4 3 2 1 0 2 6 7 7 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 1 -1 -1 0 1 2 1 -1 1 4 5 5 3 -0 -1 2 4 4 4 4 4 3 1 1 1 3 3 2 0 -1 -0 0 1 2 1 2 2 2 2 3 3 3 5 5 5 5 4 4 4 5 4 4 3 3 2 3 3 3 2 3 3 3 3 3 3 3 2 3 3 2 2 2 1 1 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 4 5 4 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 5 6 7 9 11 14 17 18 17 14 12 11 11 11 10 9 8 6 5 5 5 5 6 9 11 13 13 14 14 12 10 9 8 7 6 5 2 1 2 4 6 7 8 10 10 4 -0 3 2 7 4 3 -1 5 3 2 6 6 7 5 6 7 -0 -2 3 7 8 10 8 3 1 3 3 0 -1 3 5 0 -2 -0 3 5 4 5 6 10 9 5 5 9 6 2 4 5 6 6 6 5 5 9 13 13 7 4 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 4 5 5 4 4 2 2 2 3 5 8 7 5 3 3 4 4 5 5 5 5 5 5 5 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 4 4 4 6 8 6 3 1 1 2 2 0 -1 -1 3 5 5 4 4 3 3 2 2 1 1 0 0 1 2 1 2 4 5 4 4 6 8 9 10 11 9 5 3 3 4 7 6 4 2 3 5 7 7 5 6 8 7 6 7 7 8 9 9 8 7 6 7 8 8 7 4 3 3 3 3 5 7 7 5 4 4 5 4 3 3 7 13 15 13 11 9 8 6 5 5 5 4 4 3 3 5 5 5 5 4 5 5 4 4 5 5 5 6 7 8 8 6 5 5 5 4 4 3 4 6 7 6 6 5 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 5 3 2 1 1 1 0 -0 -1 0 3 5 5 3 0 1 3 4 4 4 4 4 3 1 1 2 3 4 4 2 -0 -0 1 1 1 2 2 2 2 2 2 2 3 4 5 5 5 5 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 1 1 1 2 2 3 3 3 3 3 2 3 3 4 4 3 4 4 4 4 3 4 4 4 4 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 4 5 6 5 5 5 5 4 4 4 5 7 9 12 16 19 19 17 15 12 11 11 11 9 8 7 6 5 5 5 5 6 9 11 12 13 13 13 12 10 8 6 6 5 4 2 1 1 2 5 7 9 10 9 4 0 1 3 8 12 7 -2 -1 -0 2 2 8 9 8 8 9 4 2 2 7 8 7 8 7 3 3 4 1 1 3 1 0 3 4 3 3 3 4 6 8 8 7 8 7 2 2 9 7 6 7 6 5 3 7 14 12 6 3 3 3 3 3 3 3 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 4 4 4 5 5 5 6 5 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 2 1 2 4 7 8 8 6 4 3 4 4 5 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 4 7 8 5 4 4 4 4 3 1 -1 -1 1 3 4 4 4 3 4 3 3 4 5 5 5 5 6 6 6 6 5 4 5 6 7 9 12 12 9 7 7 10 14 12 7 4 4 4 5 8 7 6 6 6 6 7 8 9 9 9 9 7 6 6 8 9 7 5 2 0 2 7 9 9 8 6 5 5 5 4 4 3 6 10 13 13 12 11 11 11 8 7 6 5 4 3 3 4 5 5 5 5 4 5 5 5 5 5 5 6 6 7 8 7 7 7 7 7 7 6 6 6 6 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 nan nan nan nan
nan nan nan nan 5 5 5 4 3 2 -0 -1 -1 0 3 4 4 3 1 2 4 5 4 4 4 4 3 2 2 3 4 5 5 3 1 1 2 2 2 3 3 3 3 2 2 3 3 4 4 5 4 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 2 2 1 1 1 2 2 3 3 3 3 3 2 2 2 3 4 4 3 3 3 4 4 4 4 5 4 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 4 5 5 5 5 5 5 4 4 4 5 6 8 12 17 19 17 15 13 11 10 10 10 8 7 6 5 4 4 4 5 6 8 11 12 12 13 13 11 9 7 6 5 4 4 2 1 1 2 3 4 6 6 8 8 4 1 4 10 20 14 2 -3 -2 3 2 9 8 7 9 10 8 6 2 6 9 6 3 6 5 4 4 3 3 4 3 3 6 7 4 2 4 5 6 6 7 10 12 7 2 4 9 7 7 7 6 5 3 6 14 13 6 3 3 3 3 3 3 3 4 4 5 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 5 5 5 5 5 4 4 5 4 5 5 5 5 5 4 4 4 4 5 5 5 4 3 3 2 1 1 3 4 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 5 7 10 10 7 5 4 3 4 3 1 -0 -2 -1 1 2 3 3 3 5 6 6 6 7 6 6 6 5 5 6 5 3 3 4 5 8 10 11 9 8 10 14 19 18 11 4 1 1 3 6 7 6 6 6 7 7 8 9 9 10 9 7 5 5 7 9 8 5 1 0 5 12 14 11 8 6 5 5 5 4 4 4 5 7 12 13 12 12 13 14 12 10 8 7 6 5 4 4 4 5 5 4 4 4 5 5 5 5 6 5 5 6 6 6 8 9 9 10 10 9 7 6 5 5 7 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 3 4 6 6 6 4 1 0 -0 2 4 4 3 1 0 2 4 5 5 4 3 3 1 1 2 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 3 3 4 4 3 4 5 5 5 4 4 4 3 3 2 2 1 1 2 3 3 4 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 8 13 19 19 13 11 10 9 8 8 8 7 6 5 4 4 3 4 5 7 9 10 11 11 12 13 11 8 7 6 5 3 3 2 1 2 4 3 5 5 2 5 7 5 5 6 6 14 12 5 0 -0 4 5 7 4 3 10 9 9 7 4 5 8 4 -1 1 5 5 5 3 4 4 5 6 7 10 8 3 5 7 7 6 5 10 11 7 5 6 7 6 8 8 6 4 4 8 14 12 6 3 3 2 3 2 3 4 4 4 5 4 4 5 5 4 4 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 5 5 5 5 4 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 7 8 8 10 11 9 6 5 4 2 2 2 2 1 -1 -0 0 -0 0 1 3 2 2 3 5 6 6 6 5 4 5 5 4 3 4 4 5 6 7 5 6 9 14 20 18 9 1 -1 1 4 6 7 6 6 6 6 6 7 8 10 11 10 7 5 4 6 8 8 5 1 1 7 13 15 11 7 5 5 5 4 4 4 5 6 5 10 12 11 9 11 12 12 11 11 9 8 7 6 5 4 4 4 4 4 4 4 5 5 6 7 6 6 4 4 5 6 8 10 11 10 7 4 4 5 6 6 6 5 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 2 2 3 4 5 6 5 4 2 2 4 4 3 2 -0 -1 1 3 5 5 4 3 2 0 -1 1 3 4 4 3 3 4 5 5 4 2 2 2 2 3 4 5 4 4 4 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 5 5 6 6 6 5 5 4 4 3 2 2 2 3 4 5 5 4 4 4 4 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 3 4 4 5 4 4 3 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 3 3 5 6 6 6 5 5 5 5 5 5 5 8 15 22 17 8 7 8 7 7 6 6 6 5 5 4 4 4 4 5 7 8 10 10 11 12 12 10 8 6 5 4 2 1 0 1 3 3 4 7 8 3 1 3 7 8 7 5 8 9 5 3 6 8 8 5 1 -1 7 8 6 7 7 6 6 3 -2 -1 5 9 6 4 4 5 7 8 9 11 8 3 4 7 8 5 5 10 10 8 9 8 6 6 8 8 6 4 4 9 15 12 6 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 4 4 5 5 5 4 5 4 5 5 4 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 6 8 10 11 12 13 10 7 5 3 3 2 2 2 2 2 1 1 2 1 1 0 2 5 6 5 4 3 4 4 5 5 4 5 5 4 3 3 3 5 8 11 14 12 6 2 2 3 4 6 6 6 5 5 5 5 6 7 9 11 11 9 6 5 6 8 8 5 2 2 6 10 11 9 6 4 4 4 5 4 4 5 7 6 8 11 9 7 7 9 11 11 11 11 10 8 7 6 5 4 4 4 4 4 4 5 5 6 8 8 7 5 4 3 3 4 7 9 8 4 1 2 3 4 4 4 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 4 3 2 2 3 4 5 5 4 4 4 5 4 2 0 -0 0 1 2 4 6 5 3 1 -1 -0 1 2 2 1 2 3 5 6 5 4 2 2 3 3 4 5 5 5 5 5 5 6 6 6 5 4 3 3 3 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 4 3 3 3 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 4 4 5 4 4 3 4 4 6 6 5 5 5 6 6 5 6 7 10 22 27 13 2 4 6 5 4 4 5 5 5 5 4 4 4 4 5 7 8 9 10 10 11 11 10 8 6 4 2 0 -1 -0 3 3 2 7 11 13 7 1 3 7 6 6 8 8 7 4 2 7 9 8 5 1 -2 2 7 8 8 11 10 7 2 -3 -2 5 9 7 4 4 7 9 9 10 10 6 2 3 6 9 7 7 12 12 11 12 7 5 6 8 8 6 2 3 9 16 14 7 4 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 2 2 1 2 3 3 2 2 2 2 3 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 8 10 14 14 12 11 10 9 7 6 5 4 4 5 5 4 4 5 4 4 4 5 4 5 4 3 3 4 5 6 7 7 6 5 4 3 3 6 7 7 7 5 3 3 4 4 4 6 5 5 5 5 4 4 4 6 8 10 11 10 8 6 7 7 7 6 3 3 4 5 6 6 5 5 4 4 4 4 4 3 4 6 7 10 9 6 6 7 8 10 11 11 11 10 8 7 6 5 5 4 4 4 4 4 5 6 8 8 8 7 6 4 2 2 3 5 7 5 3 2 3 2 3 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 5 5 4 4 4 4 5 5 4 4 4 6 6 5 3 1 -0 -1 -0 3 6 7 6 3 1 0 1 1 1 0 0 1 3 4 5 5 4 3 4 4 4 5 5 5 5 5 5 6 7 7 7 5 3 2 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 3 3 4 4 5 5 5 5 5 4 4 4 4 4 3 4 5 6 6 6 5 5 6 6 6 8 10 15 29 25 3 -3 1 4 2 1 2 4 6 6 6 5 4 4 4 5 6 8 9 9 10 10 10 9 7 5 3 1 -1 -1 1 4 4 3 4 8 13 11 6 5 5 3 4 5 5 5 2 2 4 4 5 5 3 -1 -1 9 12 10 11 12 10 4 -3 -2 5 7 5 3 2 5 8 9 9 9 5 3 5 7 8 7 7 9 11 15 16 8 4 5 6 5 6 4 4 10 18 17 8 4 3 2 2 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 2 2 2 2 2 3 2 2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 9 10 11 12 12 12 11 10 10 10 9 6 5 4 5 6 6 6 7 8 7 7 7 7 6 8 8 8 9 9 7 5 4 2 3 6 7 6 3 2 2 3 4 4 4 5 5 5 5 4 4 3 3 5 7 9 10 11 10 8 7 6 6 6 4 4 3 3 3 5 6 7 5 5 5 4 3 2 2 3 5 8 9 7 5 5 7 8 9 10 10 10 10 9 8 8 6 5 5 4 4 4 4 5 7 9 9 8 7 6 4 2 2 3 6 8 6 4 3 3 3 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 7 6 6 6 6 5 5 5 4 3 3 4 5 6 6 4 2 0 -0 -1 1 3 6 6 4 3 3 3 2 0 -1 -1 -0 1 2 4 4 5 5 5 5 5 5 5 6 6 5 6 6 6 7 8 7 4 3 2 3 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 7 7 6 5 6 6 7 8 10 13 19 27 15 -4 -5 1 -0 -2 -3 -1 3 6 8 7 6 5 5 5 5 7 8 8 9 9 9 9 7 5 3 1 -1 -0 2 3 3 7 6 2 1 6 11 10 7 4 4 5 2 2 4 5 6 4 0 0 5 7 4 4 11 13 11 10 13 14 10 6 2 3 4 -0 3 4 5 6 5 6 6 4 4 9 9 4 4 8 7 8 18 20 11 4 2 1 3 6 9 6 10 18 18 8 4 3 3 2 3 3 3 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 2 2 2 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 9 10 11 11 10 11 12 9 7 7 7 7 7 7 8 9 10 12 11 11 11 12 12 12 10 8 8 7 4 3 2 2 4 7 7 5 2 2 4 4 4 4 4 4 4 4 4 3 3 3 4 5 7 9 11 11 10 8 6 6 5 5 5 5 3 2 3 6 7 6 5 5 5 3 2 1 1 3 6 8 7 4 4 6 6 7 9 9 10 10 10 10 10 9 7 6 5 4 4 4 5 6 8 9 9 8 7 6 4 3 3 6 8 6 4 3 3 3 3 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 9 8 7 7 7 6 6 5 4 3 3 4 5 5 5 4 3 3 2 0 1 1 3 3 3 4 5 5 3 1 -1 -1 -1 0 2 3 4 4 5 5 5 5 5 5 6 6 6 5 6 6 7 8 8 6 3 2 2 3 4 5 5 5 4 4 4 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 4 3 4 4 4 5 5 4 4 5 5 4 4 4 4 4 5 6 8 7 6 6 6 7 8 9 12 16 22 23 7 -3 1 2 -3 -6 -6 -2 2 5 8 9 8 7 6 6 6 7 8 8 8 8 8 8 6 3 1 -1 -0 3 5 6 4 7 9 6 5 4 8 8 6 6 9 7 2 1 3 8 11 7 1 -0 5 9 10 11 10 10 10 9 11 14 16 14 8 3 1 -1 4 5 7 4 -1 2 3 3 5 10 11 5 3 6 6 9 19 19 12 4 -2 -3 -0 8 15 10 11 18 15 8 4 3 3 3 3 3 3 4 5 4 4 4 3 4 4 4 3 3 4 3 3 4 4 4 4 3 3 4 4 4 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 5 6 7 7 7 7 7 6 6 7 9 9 9 10 10 9 8 9 9 9 9 10 10 11 9 8 7 6 5 3 3 2 3 5 7 7 5 4 3 3 4 5 5 4 4 3 3 3 3 3 3 4 5 6 8 9 10 9 7 5 5 5 6 6 5 3 3 4 4 5 5 5 4 3 2 1 0 1 4 6 7 5 5 5 5 6 8 9 10 10 10 10 11 12 9 7 5 4 3 4 4 6 8 8 9 9 8 7 7 4 3 4 6 7 5 5 4 4 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 8 8 7 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 4 3 2 0 1 1 1 3 5 5 4 3 1 0 0 1 2 2 3 4 4 5 5 5 5 5 5 6 6 5 6 6 6 7 9 7 5 3 3 4 4 5 5 5 5 4 3 2 2 1 1 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 3 3 3 3 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 4 3 3 4 5 5 5 5 4 4 5 4 4 5 4 5 5 7 8 8 7 6 6 7 8 10 14 22 26 17 -1 0 8 -0 -7 -10 -8 -1 3 6 8 9 9 8 7 7 7 8 8 8 8 7 7 6 5 2 1 1 2 5 8 9 4 3 9 7 9 3 5 4 2 7 12 7 2 -1 -2 3 8 7 4 3 4 7 11 12 9 7 8 6 8 13 15 12 8 8 4 1 2 4 7 5 -2 -1 3 6 6 6 12 9 6 6 7 14 20 16 11 3 -3 -6 -1 10 20 14 13 19 14 7 4 3 3 3 3 3 4 4 5 4 4 4 4 4 4 3 3 3 3 4 4 5 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 3 4 5 6 6 5 5 5 5 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 3 3 3 4 5 4 5 5 5 3 4 4 6 7 7 8 6 5 5 5 4 4 5 5 5 6 7 7 7 6 5 4 4 3 3 4 5 6 6 5 4 3 4 5 5 4 3 2 2 3 3 3 3 3 4 5 6 8 9 9 9 6 4 4 6 7 7 6 4 4 3 3 3 4 4 4 3 2 1 1 3 5 7 6 4 3 4 5 7 8 9 10 10 10 11 11 11 10 6 4 3 3 4 5 7 7 7 8 9 9 8 7 5 4 4 6 6 5 5 4 4 3 3 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 6 6 5 5 4 2 2 1 1 2 4 4 4 4 3 3 2 2 3 2 3 3 4 4 4 5 4 5 5 6 5 6 5 5 5 6 7 8 6 4 4 4 4 5 5 6 6 5 3 2 1 1 1 2 1 1 2 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 3 3 3 3 3 3 2 2 3 4 5 4 4 5 5 5 5 5 4 3 3 3 4 5 4 5 5 5 5 4 4 5 4 5 5 6 7 9 8 6 6 7 8 10 13 19 28 28 15 -1 1 6 -5 -11 -11 -7 1 5 7 8 9 9 8 8 8 8 9 9 9 8 7 6 5 3 2 3 4 5 5 6 5 3 4 6 1 2 3 2 1 2 7 10 8 5 3 2 6 6 5 5 5 5 7 11 11 9 7 5 3 4 8 9 6 4 9 9 3 1 0 5 9 6 3 5 9 5 3 9 11 11 10 11 15 20 20 13 4 -3 -8 1 15 21 14 12 20 15 7 4 3 3 3 3 3 4 4 5 5 4 4 4 4 4 3 4 4 3 4 4 4 4 5 4 3 3 3 3 4 4 5 5 5 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 4 4 5 6 6 5 5 5 5 5 6 6 5 5 4 4 3 3 3 3 2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 4 3 3 3 3 4 5 5 5 4 4 3 4 5 5 6 4 4 3 3 3 3 3 3 4 4 5 6 6 7 6 6 5 4 4 4 4 4 4 5 5 4 4 4 4 3 2 1 1 2 3 3 3 3 3 4 5 6 8 9 9 7 6 5 5 7 7 7 6 5 3 3 3 3 4 4 4 3 3 2 3 4 5 6 3 2 3 4 5 6 8 9 10 10 9 10 11 11 8 6 3 2 3 5 6 6 6 6 8 9 9 9 8 6 5 5 5 5 4 4 4 4 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 6 5 4 3 3 3 3 4 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 6 7 7 6 4 4 5 5 5 6 6 6 4 3 2 2 3 3 3 3 3 2 3 2 2 3 3 3 3 3 4 4 5 5 4 5 5 5 4 4 3 3 3 3 3 2 3 4 4 4 4 4 4 4 5 4 4 4 3 4 4 4 5 4 5 5 5 4 4 4 5 5 6 7 8 8 8 6 6 8 9 13 18 23 26 25 17 5 1 1 -8 -11 -8 -2 3 6 7 8 8 8 8 8 9 9 10 10 9 8 7 6 3 1 3 5 6 6 7 5 1 -1 4 7 2 0 5 1 1 4 5 6 7 6 7 11 14 7 3 3 4 7 11 13 11 11 9 5 2 2 3 3 0 -1 3 4 3 -0 -6 1 14 15 7 6 5 0 1 4 8 13 18 16 12 21 28 18 4 -5 -7 4 18 19 11 11 21 17 6 5 4 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 3 4 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 3 3 4 4 5 6 6 6 6 6 5 5 4 4 5 5 5 5 4 4 4 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 4 3 3 3 4 5 5 4 4 4 4 4 5 6 6 5 4 3 3 3 3 3 3 4 4 4 5 6 7 7 6 6 6 5 5 4 3 3 3 3 4 4 4 4 4 3 1 0 2 3 3 3 3 3 4 4 5 6 7 8 8 7 6 6 6 6 7 7 6 5 4 3 3 4 4 4 4 4 3 3 3 4 5 4 3 2 3 4 4 6 8 9 10 9 9 10 10 9 7 5 4 3 4 5 5 6 6 7 8 9 10 9 7 6 6 6 5 3 4 4 4 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 4 4 4 4 4 4 5 5 6 7 7 7 7 6 6 5 5 6 7 7 7 6 5 3 3 3 4 6 6 6 6 6 5 4 4 4 4 3 4 4 4 4 4 5 5 5 3 3 3 4 5 6 5 5 5 4 4 5 6 6 6 5 4 4 5 6 5 5 5 5 4 3 3 3 3 4 4 3 3 4 4 4 4 4 5 4 5 5 4 4 4 3 3 2 2 3 3 4 3 4 4 4 4 4 4 4 3 3 4 4 4 5 4 5 5 5 4 4 4 5 5 6 8 8 8 7 7 7 10 15 20 24 20 17 19 13 8 2 -4 -10 -9 -3 3 6 7 7 8 8 8 8 9 10 10 10 10 9 8 7 7 3 1 3 5 6 6 7 8 6 3 2 4 4 5 5 1 3 9 6 2 5 6 10 14 11 2 2 2 4 9 15 15 12 10 7 4 2 3 1 -1 -2 -1 -1 -2 -2 -3 -7 -2 16 20 9 4 0 -5 2 5 5 9 13 13 15 29 36 22 5 -5 -5 6 16 14 8 12 22 17 6 5 4 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 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 3 3 3 4 5 5 6 7 7 7 6 5 5 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 5 5 6 6 5 6 6 6 6 6 5 4 4 4 4 4 5 5 5 4 4 5 5 6 6 6 5 4 3 3 3 3 3 4 4 4 5 5 6 6 7 7 7 6 6 5 5 4 4 3 3 3 4 4 4 4 4 3 1 1 2 2 3 3 3 4 4 5 6 7 8 8 7 7 5 6 6 6 7 6 5 4 3 4 4 5 5 4 4 3 3 4 4 5 4 3 3 3 3 4 5 7 9 9 9 10 10 10 9 7 5 4 3 3 5 5 5 6 7 8 10 9 8 6 5 5 5 4 4 4 4 4 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 6 5 5 4 4 4 4 5 5 6 7 8 8 8 7 6 6 6 6 7 7 7 7 6 5 4 3 4 5 6 7 7 8 7 6 5 5 4 3 4 4 4 4 3 4 4 4 3 2 2 3 4 5 5 5 4 4 4 4 5 5 6 6 6 7 7 7 7 6 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 4 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 5 7 7 8 8 7 6 7 10 16 25 28 22 11 7 14 10 5 -3 -7 -7 -3 3 6 7 7 7 7 7 7 8 9 10 11 11 10 9 8 8 6 3 2 3 5 5 5 7 7 9 12 11 8 6 4 0 -1 5 14 11 7 6 6 12 15 4 -1 2 5 7 12 15 16 14 8 2 2 4 4 3 1 1 3 1 0 -1 -1 -2 -1 13 18 8 3 -1 -5 2 3 1 4 9 11 21 36 36 21 6 -2 -1 8 13 11 8 10 21 19 6 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 4 5 6 7 7 7 7 5 4 4 3 3 4 4 5 5 4 3 3 3 3 3 4 4 4 3 3 2 3 3 3 4 3 3 4 4 4 4 4 5 5 5 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 6 6 6 5 5 4 4 3 4 4 3 4 4 5 5 5 5 6 7 7 7 7 7 6 6 6 5 4 3 3 3 4 4 5 8 8 1 -2 1 2 2 3 3 3 3 4 5 6 7 7 7 7 7 6 5 5 6 6 6 5 4 3 4 5 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 5 7 9 10 9 9 9 9 9 7 6 4 3 4 4 4 5 6 8 9 9 7 5 4 5 5 4 4 4 3 4 5 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 5 6 6 6 6 6 5 5 4 4 5 5 6 7 8 8 8 7 7 7 8 7 6 6 7 7 6 6 5 4 4 5 5 6 7 8 8 8 8 7 5 4 4 4 4 4 4 4 3 3 3 2 3 4 4 4 4 4 3 3 3 3 3 4 5 6 7 7 7 7 7 6 6 7 7 6 6 5 5 4 4 4 5 4 4 5 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 8 6 7 9 15 24 32 26 14 6 3 8 6 -7 -10 -5 -0 3 6 7 7 7 7 6 7 8 8 9 10 11 12 11 9 8 6 4 2 2 3 5 6 7 9 8 4 4 7 8 6 2 -1 1 8 15 15 14 10 8 11 11 3 0 3 8 11 12 12 14 13 4 -1 5 6 4 5 8 11 9 4 3 4 4 -0 -0 9 9 4 1 -3 -6 1 -3 -6 2 10 10 22 38 33 18 5 -1 3 10 12 9 6 10 20 19 7 4 4 4 4 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 6 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 3 4 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 4 3 4 4 5 4 4 4 5 5 5 5 5 6 7 7 8 8 7 7 7 7 7 5 3 3 3 2 3 5 9 10 3 -2 1 2 2 2 3 2 2 3 4 5 6 7 7 8 8 6 5 6 6 6 6 7 5 3 3 4 5 4 4 4 4 3 3 4 5 5 4 3 3 2 3 3 5 7 8 9 9 9 10 10 9 8 6 4 4 5 5 4 5 7 9 9 8 6 5 5 5 5 5 4 4 4 5 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 3 3 4 5 6 6 6 5 5 4 4 5 6 6 7 7 7 7 7 7 8 8 7 7 6 7 7 6 5 5 5 6 6 5 6 6 7 8 9 8 6 5 5 5 5 5 5 5 4 3 3 3 3 4 4 4 4 3 2 2 2 2 2 3 4 5 5 5 5 5 5 5 5 6 7 7 6 6 6 6 5 5 5 5 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 8 9 7 7 9 14 20 27 27 16 7 6 4 -0 -6 -14 -7 2 6 7 7 7 6 7 7 7 7 8 9 9 10 12 13 12 9 5 2 1 2 2 4 6 9 10 9 9 7 3 0 -2 0 1 2 5 9 14 17 16 11 10 10 8 2 0 5 11 12 10 11 11 7 1 5 13 10 6 8 14 16 12 5 1 6 7 0 0 7 8 6 1 -8 -11 1 3 -2 1 2 6 23 37 30 16 5 1 4 9 10 7 7 13 19 16 7 4 4 4 4 5 5 5 4 3 4 4 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 4 4 5 4 4 5 5 6 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 5 5 5 6 7 6 6 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 4 3 3 3 3 3 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 5 5 6 6 6 6 5 4 3 3 4 5 5 4 5 6 5 4 3 3 5 7 7 8 8 8 8 7 8 8 6 4 4 3 2 3 5 9 9 4 2 2 3 3 3 2 2 2 2 3 4 5 6 7 7 8 6 5 6 6 6 6 7 6 3 3 4 5 5 4 4 4 4 3 3 4 6 5 4 3 3 3 3 4 5 7 8 10 10 10 11 12 10 9 7 6 5 5 4 5 6 8 9 9 7 7 7 7 6 6 6 5 4 5 6 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 1 2 3 4 5 6 6 6 5 4 4 4 4 5 5 6 7 7 7 7 7 7 7 6 7 7 7 6 6 5 6 6 6 5 6 5 6 7 7 7 6 5 5 5 5 6 6 7 6 4 4 3 4 4 4 5 4 2 1 1 1 1 2 2 3 4 3 3 3 3 3 3 4 5 5 6 6 7 6 6 5 5 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 6 5 5 5 5 5 4 4 3 3 3 3 4 4 5 4 4 4 5 4 4 4 4 4 5 6 7 9 11 9 9 11 14 18 19 19 15 7 4 7 5 -5 -10 -5 2 7 8 7 7 6 6 7 7 7 8 9 10 10 11 13 15 13 8 2 0 3 3 1 5 6 9 12 9 8 7 4 3 0 0 1 6 8 9 14 17 14 10 10 10 7 0 -1 7 13 12 8 9 8 -1 -2 16 24 16 9 8 10 10 8 1 -3 6 11 4 1 7 14 14 8 -5 -12 -0 10 5 5 7 15 29 33 25 14 6 2 4 8 8 7 8 13 20 14 6 5 5 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 6 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 5 5 5 6 6 6 5 5 4 4 3 3 3 3 4 4 4 5 5 4 4 4 4 4 5 5 5 4 4 3 2 3 3 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 3 4 5 5 6 6 6 6 5 4 4 4 4 5 5 5 5 5 3 2 2 4 6 7 7 8 8 7 7 8 8 8 6 5 3 3 3 5 9 10 8 6 4 3 3 3 3 2 2 2 3 3 4 4 5 7 9 8 5 7 7 7 6 7 7 5 4 4 5 5 5 4 5 4 4 3 4 5 6 6 5 4 4 3 3 5 6 7 9 10 11 13 14 14 12 10 8 7 6 5 5 5 6 7 8 9 9 9 8 7 7 7 7 6 5 6 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 1 1 2 3 4 5 6 5 5 4 4 4 3 3 4 5 5 6 6 6 6 6 6 6 6 7 7 6 5 5 6 6 5 6 6 5 5 5 6 6 6 5 4 4 4 5 6 6 6 6 6 6 5 5 5 6 5 3 2 2 1 0 1 2 2 3 3 2 2 2 2 2 2 2 4 5 5 6 7 6 6 5 5 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 6 7 7 11 14 10 12 15 14 15 14 12 6 1 3 6 4 -2 -1 5 7 8 8 7 6 6 6 6 7 8 9 10 11 12 13 16 16 13 7 2 3 5 4 2 6 7 6 8 9 9 6 1 1 2 2 4 11 8 7 11 13 9 8 8 8 6 1 0 6 15 15 7 6 8 -4 -2 19 26 17 9 4 1 2 4 1 -3 2 10 8 4 8 16 17 12 4 -3 -2 11 13 15 17 22 27 25 17 10 4 0 2 6 7 8 9 13 20 14 6 5 5 5 4 4 5 5 4 5 5 5 5 5 4 4 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 6 6 6 5 5 4 4 3 3 3 3 3 3 4 4 4 4 5 4 4 5 5 6 6 6 5 4 4 3 3 3 3 4 4 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 3 3 4 5 5 6 6 6 6 5 4 4 4 4 5 5 5 4 1 -0 1 3 6 7 7 7 7 7 7 7 8 8 7 6 4 4 5 6 8 9 10 8 4 3 3 4 4 3 2 2 2 3 3 3 4 5 7 8 7 7 8 7 7 6 6 6 5 4 5 5 6 5 5 5 5 4 4 4 6 8 7 5 3 3 4 5 5 5 7 9 11 14 15 16 15 13 11 8 7 6 5 5 4 6 7 9 10 9 7 7 7 8 8 7 7 7 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 4 4 5 5 5 4 4 3 2 2 2 3 3 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 5 4 4 3 4 4 5 5 6 8 9 8 7 6 6 6 5 5 3 2 1 1 1 1 2 2 2 2 1 1 1 1 1 2 3 3 4 5 5 6 6 5 4 4 4 5 4 5 5 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 12 15 12 13 12 9 9 13 13 7 5 7 7 5 5 7 9 8 8 7 6 5 5 6 6 7 9 10 11 13 15 16 16 15 11 5 2 4 6 6 7 7 5 4 6 7 7 9 10 7 2 -1 5 9 3 4 9 8 4 4 4 6 7 5 2 6 15 16 7 6 11 2 3 16 18 13 7 2 -1 -0 2 3 1 3 8 7 7 11 11 7 7 8 5 -2 6 16 22 22 19 16 10 5 5 2 -1 2 6 7 8 10 15 19 12 5 5 5 5 5 5 5 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 4 4 5 5 4 5 5 5 5 4 5 4 3 4 5 5 5 6 6 6 5 5 4 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 5 5 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 4 4 5 6 6 6 6 6 6 5 4 4 4 3 3 2 0 -1 0 4 7 7 7 7 6 6 6 7 7 7 7 6 6 5 5 6 7 8 9 7 4 5 6 6 6 6 4 3 2 2 2 3 4 4 5 6 7 7 8 8 7 7 7 6 5 4 4 6 6 6 6 6 6 5 4 3 5 7 8 7 4 3 3 4 5 5 6 8 11 14 16 18 17 15 12 9 8 7 6 5 4 4 6 7 8 7 5 5 6 8 9 8 8 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 4 5 5 5 5 4 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 3 3 2 3 3 4 5 8 11 12 9 7 5 6 7 7 6 5 3 2 1 1 1 1 2 1 1 1 1 1 1 1 2 2 3 3 4 4 5 4 4 4 4 4 5 5 6 6 7 7 7 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 7 7 8 13 17 15 10 7 5 8 13 16 15 17 12 5 5 8 9 7 6 5 5 5 5 5 6 6 7 9 10 12 15 17 17 14 12 9 5 4 4 4 6 8 7 5 5 7 6 2 5 11 14 6 2 9 4 -2 4 8 5 2 -0 -2 5 14 11 3 3 13 16 11 10 16 12 11 17 16 8 2 -1 1 4 4 1 1 9 10 7 12 13 5 1 5 7 9 -2 -7 6 26 26 13 2 -5 -3 1 0 2 9 9 8 9 10 14 18 13 6 5 5 5 5 5 5 4 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 3 4 5 6 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 4 4 3 3 2 2 2 2 3 4 4 4 4 5 5 5 5 5 4 5 7 7 5 4 3 2 3 3 3 3 3 3 3 3 4 4 5 5 5 6 6 6 6 7 7 7 6 5 5 4 4 4 3 3 4 4 5 6 7 6 7 7 7 7 6 5 4 3 2 2 1 -0 -1 -1 3 7 8 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 6 5 6 7 8 9 9 7 5 4 3 2 2 3 3 4 4 5 6 8 8 8 7 7 6 5 4 4 6 6 7 6 7 7 6 4 3 3 5 8 8 5 3 2 3 6 6 5 7 10 13 16 17 16 14 11 9 7 7 8 6 5 4 4 5 6 6 4 4 4 5 7 7 8 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 5 5 5 5 5 5 4 4 3 2 2 2 2 1 2 2 2 2 2 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 4 4 5 5 4 3 2 2 3 3 4 6 9 11 10 7 5 6 7 7 7 7 6 5 3 2 1 1 1 1 1 1 1 2 2 2 1 2 2 2 3 4 4 5 5 4 4 4 5 6 6 7 8 8 8 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 5 5 5 5 6 6 8 10 12 16 17 13 7 6 6 8 11 14 19 17 6 0 4 7 6 4 3 3 4 4 5 6 7 7 8 8 11 13 16 18 15 12 11 10 7 6 4 3 2 4 6 7 9 10 6 4 2 7 9 6 7 16 5 -1 6 6 3 6 4 -3 3 16 13 2 1 10 18 17 16 19 17 12 17 16 6 -3 -3 2 5 2 -2 5 15 12 11 16 11 4 7 8 8 10 4 -7 3 28 23 7 -6 -11 -2 4 3 8 13 11 9 10 9 12 19 17 7 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 5 5 5 5 4 4 4 4 4 4 4 5 6 7 7 6 5 4 4 4 3 3 3 2 2 2 3 3 4 4 4 5 5 5 5 5 4 4 5 7 7 5 3 2 2 2 3 4 4 4 3 3 3 4 4 5 5 5 6 7 6 7 7 7 6 6 5 5 4 4 4 3 4 4 5 6 8 8 8 8 8 8 8 7 6 4 3 1 0 -0 -1 -1 -1 3 7 7 7 5 5 5 6 6 7 7 8 8 8 8 7 7 6 5 5 5 5 6 8 9 9 10 9 6 5 4 3 2 2 2 3 3 4 5 6 8 8 8 7 6 5 4 4 5 6 7 7 7 7 7 6 3 2 3 6 7 5 4 3 3 5 6 5 6 8 11 14 16 16 13 10 7 6 6 8 7 7 6 5 6 6 6 5 5 4 4 5 6 7 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 6 6 5 5 4 4 3 3 3 2 3 2 2 2 2 2 2 2 2 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 7 5 3 2 3 3 4 5 6 8 8 7 5 6 7 7 8 8 8 7 5 4 2 1 1 1 1 1 2 2 2 2 2 2 1 2 2 3 4 4 4 4 4 4 4 5 6 6 7 8 8 8 7 7 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 5 6 6 7 11 15 15 15 12 8 6 6 7 6 9 10 12 6 -3 -1 4 4 3 2 3 3 3 4 6 6 7 8 8 9 11 13 17 18 14 11 9 10 8 7 5 3 3 3 4 6 10 11 7 5 -1 -1 2 4 11 17 5 2 6 4 5 13 11 2 6 14 8 1 3 10 18 19 13 14 17 11 10 10 1 -3 2 6 5 -1 -0 9 13 9 11 13 7 6 10 9 8 11 17 8 16 31 20 2 -13 -10 8 13 13 17 16 12 9 10 9 11 18 17 8 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 3 3 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 6 7 6 5 4 4 4 4 4 3 3 2 2 3 3 3 4 4 6 6 6 5 5 5 4 3 6 7 6 4 2 2 2 3 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 7 6 6 6 6 5 4 4 4 4 5 6 7 8 9 10 10 10 10 10 9 7 5 4 3 1 -1 -1 -1 -0 2 5 6 6 6 5 4 4 5 5 6 8 9 9 10 10 7 6 7 5 3 4 5 6 7 8 9 9 9 7 6 4 4 3 2 2 3 3 3 4 5 7 8 8 8 7 5 4 3 4 4 5 7 7 7 7 7 5 3 2 3 4 5 5 4 4 5 5 5 6 7 9 12 13 14 12 9 6 4 4 6 7 8 9 9 8 8 8 7 7 7 5 5 5 6 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 7 7 6 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 7 8 8 5 3 3 4 5 5 5 6 6 6 5 5 5 6 8 8 9 9 8 6 4 2 1 1 2 2 2 3 3 3 3 3 2 1 2 2 3 4 4 5 4 4 3 4 5 5 6 7 8 8 8 7 6 5 5 4 4 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 5 6 7 6 10 16 16 11 8 6 7 7 6 6 6 7 5 1 -3 1 4 3 3 3 3 3 3 4 6 8 8 9 9 10 11 13 16 16 12 9 6 7 6 3 3 3 4 5 6 6 4 5 7 4 -2 -4 -2 3 16 13 -1 2 4 3 8 19 14 5 7 6 3 7 10 10 13 12 5 8 15 13 9 3 -7 0 12 11 5 -0 5 7 2 3 8 6 4 9 13 8 2 9 23 18 25 29 17 -3 -17 -6 18 24 24 25 20 13 11 10 9 10 16 17 9 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 3 2 2 3 4 4 5 5 5 4 4 5 3 3 4 6 7 5 4 4 4 4 4 4 3 2 2 2 3 3 3 4 5 7 8 7 5 4 4 3 4 6 6 4 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 7 7 7 7 7 6 6 5 5 5 5 5 7 8 9 11 12 13 13 13 13 11 9 7 4 3 2 1 0 -1 -0 2 6 7 6 6 6 4 4 4 5 5 5 6 8 9 10 11 8 4 4 5 5 5 5 5 6 7 7 7 8 8 7 6 5 4 3 3 3 3 2 3 4 5 6 7 7 7 6 5 4 4 4 4 5 6 6 7 7 5 4 2 1 2 4 5 6 5 5 5 6 5 5 7 9 11 12 12 10 8 5 4 4 5 6 9 10 9 9 9 9 9 9 7 6 5 5 6 6 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 8 7 6 5 4 3 3 3 4 4 4 4 5 5 4 3 4 3 3 3 4 4 5 5 5 5 4 3 2 2 3 3 4 4 4 5 5 5 5 7 9 9 7 5 4 5 5 5 5 6 5 5 5 4 5 6 7 8 9 10 11 9 7 4 2 1 2 3 3 4 4 5 5 4 3 2 2 2 3 3 4 4 4 3 3 3 4 4 5 6 7 7 7 7 6 5 4 4 4 4 5 5 6 6 6 6 5 5 5 4 4 4 4 4 5 7 7 6 7 15 17 10 8 8 8 8 7 7 6 6 5 2 1 3 3 3 3 4 3 3 3 5 7 7 8 9 10 11 11 14 18 15 9 6 5 4 2 -3 -1 -1 4 8 10 9 3 4 7 5 2 2 -2 1 11 3 -4 2 4 3 12 24 14 4 -1 -3 7 17 13 6 3 2 1 7 10 9 10 1 -7 6 21 12 3 -1 -3 -5 -4 2 5 0 1 10 11 6 2 9 16 16 25 27 15 -3 -14 0 22 27 27 25 18 12 10 10 9 9 14 18 11 4 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 4 4 5 4 3 4 5 6 5 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 4 7 9 8 6 4 4 4 5 5 4 2 1 2 3 4 4 4 4 4 4 4 5 5 5 6 5 5 6 6 7 6 6 7 7 8 7 7 7 7 7 7 8 9 10 11 13 15 15 16 16 15 12 9 5 3 2 1 1 1 -1 1 5 8 8 6 5 5 5 4 4 5 6 6 5 6 7 9 11 9 5 3 6 7 7 6 6 6 5 5 5 6 7 7 7 7 6 4 3 3 3 2 2 3 4 5 6 7 7 7 6 5 4 3 4 4 5 5 5 6 6 5 4 2 1 2 4 6 6 6 5 5 4 4 4 5 7 9 10 11 10 9 6 5 4 4 5 5 5 6 7 8 9 9 8 7 6 5 5 5 5 4 4 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 6 5 4 3 2 3 3 4 5 5 7 8 8 7 6 5 5 5 5 4 5 5 6 6 6 6 4 3 2 2 2 3 4 4 5 5 5 6 7 9 9 8 6 5 5 5 5 5 5 5 4 4 4 4 4 6 7 9 10 11 11 10 7 4 2 3 3 3 4 5 5 5 5 5 4 3 2 3 3 4 3 3 3 2 2 3 3 4 5 5 6 6 6 6 5 5 5 4 4 5 5 6 6 6 6 5 5 5 4 4 4 4 5 6 7 7 6 4 11 16 14 10 9 9 9 8 7 6 7 8 6 4 3 2 3 4 4 3 3 4 6 7 7 8 9 11 11 13 18 20 14 8 4 7 4 -0 1 3 1 2 3 8 10 7 8 5 4 7 11 9 9 5 -4 -4 1 5 3 10 16 8 4 1 2 11 15 9 2 -3 -1 6 11 7 5 12 5 1 11 18 6 -1 -2 -6 -3 3 4 -3 -7 -0 8 7 2 2 6 5 10 24 26 15 -1 -7 6 20 22 20 18 12 9 9 9 8 8 15 20 12 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 5 5 4 4 5 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 6 8 8 5 4 5 6 5 4 3 2 2 3 4 4 5 5 5 4 4 4 5 5 6 6 6 6 6 7 6 6 7 7 8 9 9 8 9 9 9 10 11 12 12 13 14 15 17 18 17 15 11 8 5 4 2 2 2 1 0 0 4 9 9 6 5 4 4 4 5 5 7 7 6 6 7 7 9 9 6 5 5 6 6 6 6 6 5 5 4 5 6 7 8 9 8 7 6 5 4 3 3 3 3 4 5 6 6 6 6 6 5 4 4 4 5 4 4 5 6 5 5 3 2 2 3 5 6 6 6 5 4 4 4 3 3 6 8 10 13 14 11 9 7 5 4 2 0 2 4 5 6 8 8 7 7 5 5 5 5 5 4 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 2 2 3 5 6 8 9 9 8 7 7 7 7 6 6 7 7 6 6 7 7 8 7 5 3 2 2 3 4 5 5 5 5 6 7 8 7 6 5 5 5 5 4 4 3 3 3 3 3 4 5 6 8 9 11 12 12 10 6 3 3 4 4 4 5 5 5 6 6 5 4 3 3 3 3 3 3 3 2 2 2 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 7 6 5 4 6 18 20 11 9 10 10 8 4 3 7 8 5 3 2 3 4 4 3 3 3 4 7 7 7 10 11 11 15 19 21 18 12 7 5 7 4 2 9 7 6 -2 0 5 7 7 5 2 4 9 9 7 11 14 12 7 3 3 2 5 2 2 6 10 14 15 11 8 2 -3 0 12 17 10 9 15 9 3 9 11 2 -2 -6 -10 3 18 12 -5 -6 2 3 -1 -1 3 4 1 9 24 27 15 -0 -2 9 18 18 14 12 8 6 8 7 6 9 16 16 8 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 3 3 4 4 4 3 4 4 5 5 4 4 5 6 5 5 4 4 4 3 4 4 5 5 5 5 4 4 3 3 3 2 3 5 7 8 6 5 5 6 5 4 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 9 10 10 10 11 11 12 13 14 14 13 13 14 15 16 16 15 12 9 7 7 6 5 3 3 3 2 1 3 8 8 5 4 4 5 5 5 6 6 7 7 8 7 7 8 8 5 5 5 5 6 5 6 7 6 6 5 6 6 7 8 9 10 11 10 9 8 7 5 4 3 4 4 5 6 6 6 6 5 5 5 5 5 4 3 4 5 5 5 4 3 2 2 4 5 6 6 6 5 4 3 3 3 4 5 8 12 17 18 16 13 11 8 4 -1 -0 2 4 5 6 7 8 7 6 5 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 5 5 4 4 4 4 3 3 3 3 2 3 4 4 5 6 7 7 7 8 9 9 8 9 12 11 7 5 7 9 11 12 10 6 3 2 3 4 4 4 5 5 6 7 7 7 6 5 5 4 4 3 3 3 3 3 3 3 4 3 5 6 7 9 11 13 12 9 6 4 3 4 4 4 3 4 5 7 7 5 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 7 7 7 6 4 3 7 22 23 11 9 12 13 9 1 0 5 5 3 3 3 4 5 4 3 3 4 5 6 6 9 12 10 13 18 20 18 14 10 7 6 5 3 2 3 5 7 4 1 4 6 5 2 2 5 5 2 3 6 12 19 17 10 5 2 2 -1 2 8 15 16 18 14 11 4 0 3 11 16 14 12 12 2 -5 6 9 2 -2 -12 -14 6 27 17 -0 -1 2 -4 -6 2 5 3 4 15 27 27 14 1 2 12 17 16 12 8 6 6 7 6 4 8 13 10 6 8 10 7 7 7 6 6 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 4 5 6 7 7 6 5 5 4 4 3 1 1 3 7 8 7 5 6 5 4 3 3 4 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 9 10 10 11 12 13 14 15 15 15 15 14 13 13 13 13 12 10 9 8 7 7 7 6 4 4 4 5 5 6 8 8 5 5 5 5 6 6 6 6 7 7 8 8 8 8 7 6 5 5 5 5 5 6 7 8 8 8 8 8 8 8 9 10 12 14 14 12 10 7 5 3 3 3 4 5 5 5 5 5 5 5 5 5 5 4 3 4 5 5 5 4 2 2 3 4 5 6 6 6 5 4 3 4 4 3 5 9 15 20 22 20 17 13 7 1 -0 2 3 3 5 7 8 7 6 6 7 7 6 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 4 5 5 4 4 4 3 3 3 3 3 3 3 3 5 6 7 9 10 10 13 17 16 10 7 8 10 11 13 14 11 6 3 3 3 4 4 5 5 6 6 7 7 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 6 8 10 11 12 11 9 6 4 4 4 4 3 3 5 6 7 7 4 3 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 5 5 5 6 5 5 5 4 4 5 5 4 5 5 6 7 8 8 6 5 4 3 10 23 23 12 10 13 16 10 3 2 3 3 2 3 4 4 4 4 3 3 4 5 6 9 14 11 9 15 17 17 14 12 9 8 6 4 2 -3 -4 3 7 8 2 3 5 6 4 6 7 4 8 9 0 0 7 11 11 8 4 4 3 4 9 11 9 11 15 13 8 5 7 10 13 14 13 6 -7 -10 2 5 1 -2 -6 -3 12 22 13 4 1 -2 -7 -4 6 7 2 8 22 28 23 11 3 5 13 15 13 10 7 7 7 6 4 3 6 9 8 8 10 14 11 7 6 6 6 6 7 6 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 4 5 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 4 6 7 9 10 9 7 6 5 5 3 2 1 2 4 7 7 7 6 5 3 3 4 5 5 4 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 7 8 8 9 10 11 12 13 14 15 16 15 15 14 13 12 11 10 10 9 7 6 6 6 7 7 5 5 5 6 8 8 9 9 8 5 5 5 5 5 6 7 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 7 10 9 9 9 9 8 8 9 10 12 15 16 16 14 10 7 6 4 3 2 4 5 5 5 5 5 4 5 5 5 4 4 4 4 5 5 4 2 2 2 3 4 5 6 7 6 4 4 4 3 3 3 6 10 15 20 22 20 17 11 3 0 2 3 3 4 6 7 7 7 7 7 8 7 6 4 nan 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 5 5 4 4 4 3 3 3 3 3 3 4 5 6 7 9 9 12 16 16 11 9 9 9 9 11 14 14 10 5 3 3 4 5 5 5 5 6 6 6 5 5 4 4 3 3 2 2 3 2 2 3 3 2 3 4 4 6 8 10 12 12 9 7 5 4 4 5 5 4 5 5 6 6 6 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 8 9 8 5 4 4 5 13 25 23 12 9 12 14 11 7 8 4 1 1 3 3 4 4 4 4 4 4 6 9 15 16 9 10 15 16 15 14 11 10 7 3 1 -1 -3 1 6 7 9 7 3 4 5 3 8 6 8 17 8 -2 7 9 3 5 7 6 5 4 7 10 5 2 -0 5 7 11 9 8 9 12 12 8 -0 -9 -5 5 6 3 2 2 5 11 12 9 5 2 -4 -5 -0 7 9 9 15 24 24 17 9 4 7 12 13 11 9 8 8 8 5 1 2 5 7 9 10 11 15 13 7 6 7 7 7 7 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 4 5 7 9 11 11 8 6 5 5 4 3 2 1 2 4 5 6 6 5 3 3 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 8 8 9 10 11 11 12 13 15 16 15 14 13 12 11 10 9 9 8 7 5 4 4 5 5 7 6 6 7 8 9 11 10 5 2 4 4 4 5 6 6 6 7 6 6 7 6 6 6 6 6 6 6 6 5 5 5 7 8 9 8 8 8 8 8 9 10 11 13 15 17 16 14 12 12 9 6 4 3 5 5 6 5 5 4 4 4 5 5 4 4 4 5 5 4 3 3 3 3 4 4 5 6 6 5 5 5 4 3 3 4 6 9 14 17 18 17 12 7 3 3 3 4 5 5 7 7 7 6 6 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 7 9 11 12 11 9 8 7 6 8 12 14 11 7 4 3 4 4 5 5 5 6 7 6 5 4 4 3 3 3 2 2 2 2 3 2 2 2 2 3 4 5 6 8 10 11 10 7 6 5 5 5 5 5 5 5 6 6 6 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 6 8 8 6 4 4 5 7 17 27 22 11 7 10 11 7 7 4 -1 -1 1 2 3 3 3 4 4 4 5 8 14 18 14 9 11 12 14 17 14 11 8 5 2 1 1 3 8 10 8 10 9 6 3 2 2 5 5 13 21 6 3 13 6 -2 2 5 7 6 4 7 9 2 -1 -3 -3 2 9 9 8 10 13 12 9 -1 -8 -3 6 8 4 3 5 7 7 9 7 5 5 -1 -0 5 9 11 14 16 17 16 12 8 6 8 11 12 11 9 7 8 7 3 1 4 6 5 8 11 12 15 14 8 6 7 8 8 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 8 11 10 7 6 5 5 5 4 3 1 1 2 3 4 5 4 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 9 10 10 11 11 12 13 14 14 13 12 10 10 9 9 9 9 8 7 5 3 2 2 4 6 7 7 8 9 9 10 8 2 0 3 4 4 4 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 6 6 7 7 7 7 7 7 7 7 8 8 10 12 13 14 16 18 19 18 14 9 6 4 6 7 7 6 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 5 5 5 5 6 5 4 4 4 6 9 12 15 15 13 9 7 6 6 5 5 5 6 6 5 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 4 4 3 3 3 3 4 4 5 5 5 4 3 3 3 3 3 3 5 7 8 10 10 8 7 5 6 7 10 13 12 7 4 3 4 4 4 5 7 10 11 9 6 4 3 3 3 2 3 3 3 3 2 2 1 1 2 3 4 4 5 7 8 9 9 8 6 5 4 4 5 5 5 5 5 6 6 5 4 4 3 3 2 3 3 2 2 2 2 2 2 2 1 1 2 2 2 2 2 3 4 4 4 4 4 4 5 4 4 6 7 8 7 4 3 6 8 13 24 29 19 8 7 7 7 1 1 -4 -5 -1 1 1 1 2 2 3 4 5 5 9 17 17 10 8 8 8 12 17 15 10 3 2 7 9 6 6 6 9 7 6 6 7 4 2 2 3 8 14 15 5 9 10 2 1 4 6 8 7 5 5 6 1 -2 -0 1 5 6 7 10 12 14 13 12 6 -4 -4 4 5 3 4 10 12 4 5 5 5 4 3 7 9 8 10 11 8 6 9 11 9 7 9 12 13 12 9 8 8 7 2 1 6 7 5 7 9 11 16 15 8 5 7 8 9 8 7 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 4 4 4 4 4 4 3 3 2 3 3 1 2 5 9 9 8 6 6 5 5 5 4 3 2 2 2 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 9 9 9 10 10 10 10 11 11 12 11 10 9 8 8 8 8 9 9 8 8 7 4 3 3 4 6 6 7 7 8 8 8 6 -1 -0 4 5 5 5 6 6 5 5 5 6 6 6 6 5 4 4 5 5 5 7 9 7 4 6 6 5 5 6 6 6 6 5 6 7 8 8 9 12 16 20 23 22 17 11 7 6 7 8 8 7 5 5 5 4 4 4 5 5 5 6 5 4 5 4 4 4 4 4 4 5 5 5 6 6 5 4 4 5 6 9 14 16 15 12 10 10 10 8 7 6 6 5 4 4 4 5 5 5 6 7 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 4 4 3 3 4 4 5 5 6 5 4 3 3 3 3 3 4 6 8 11 11 10 7 6 6 7 9 12 11 8 4 3 4 4 4 5 10 16 16 12 7 5 4 4 4 4 4 4 4 4 4 3 2 1 2 2 3 4 4 6 7 8 7 7 5 4 4 3 4 4 5 5 5 6 6 6 4 4 3 2 3 3 3 3 3 2 2 2 1 1 1 1 1 1 1 2 2 3 3 4 4 4 4 4 4 5 5 6 8 7 5 3 5 9 15 25 35 29 14 7 4 2 0 -6 -6 -5 -3 1 2 2 1 1 2 3 4 5 5 9 15 15 10 9 7 7 9 11 13 11 2 -0 11 11 9 6 4 9 8 4 2 2 3 2 2 3 9 12 3 -1 7 6 3 3 5 7 9 8 6 5 3 1 -1 -0 2 6 5 5 9 12 13 10 11 10 0 -4 2 4 4 6 11 10 1 -1 5 8 4 5 10 11 10 9 7 2 3 12 16 10 9 10 12 12 12 9 8 8 6 3 4 6 6 5 5 6 11 18 16 8 4 7 9 9 8 7 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 5 5 5 5 6 6 5 5 4 4 4 4 3 3 3 3 4 3 1 0 2 5 7 8 8 7 7 6 5 5 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 5 6 6 7 7 7 8 8 8 9 9 10 10 11 10 10 10 10 10 9 8 8 7 7 7 7 8 8 8 9 9 8 6 5 4 5 6 6 6 6 7 8 7 -2 -4 4 5 5 5 6 6 5 5 5 5 6 6 6 5 5 5 4 4 4 5 8 7 5 5 6 5 4 3 4 5 5 5 4 4 4 5 6 7 10 15 21 23 21 16 11 10 10 9 9 8 7 7 7 6 5 4 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 5 4 4 4 5 8 11 14 15 15 14 14 14 13 10 6 5 5 4 3 4 4 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 3 3 4 5 5 5 4 4 4 5 5 5 5 4 3 3 3 4 4 4 5 7 10 12 12 9 6 6 6 7 10 11 9 5 4 3 3 4 7 13 17 15 10 6 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 3 3 5 6 6 6 6 5 4 3 3 3 3 4 5 6 6 6 6 6 5 4 3 3 3 3 3 4 3 3 2 1 1 1 1 1 1 1 2 2 3 3 4 4 4 4 4 4 5 6 7 8 7 4 5 10 17 26 36 36 22 10 3 -3 -4 -6 -12 -10 -4 0 3 3 3 2 2 1 3 5 5 5 7 11 14 15 12 10 10 9 6 7 12 5 1 10 11 13 5 5 10 10 9 6 -0 -1 1 4 8 10 7 -1 4 9 1 1 1 5 9 9 7 5 3 2 0 -0 2 4 6 8 8 7 11 12 9 15 14 5 -3 -2 2 5 8 7 4 3 5 10 10 8 8 10 9 7 8 7 3 9 22 21 11 10 11 11 12 12 10 9 8 5 4 6 6 6 5 5 7 15 20 13 5 4 7 9 9 8 7 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 3 3 4 5 4 3 1 1 2 4 6 8 9 8 7 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 8 9 10 9 7 6 5 5 5 5 5 5 6 7 7 2 -1 3 5 6 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 4 4 5 4 3 2 2 3 4 4 3 3 3 4 5 5 7 11 16 18 17 16 16 16 16 14 10 8 8 8 7 7 7 6 7 7 7 6 5 5 5 5 5 5 5 4 4 4 3 4 4 5 6 4 3 3 4 7 10 12 14 16 16 15 15 15 11 7 5 4 4 4 4 4 4 3 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 6 6 7 7 7 5 5 5 4 4 4 3 3 4 4 4 3 4 4 6 8 11 12 11 8 6 6 6 8 10 10 8 5 4 4 4 7 12 13 9 5 3 5 6 6 6 6 7 6 7 7 6 5 3 2 2 2 2 2 3 4 4 5 6 5 5 4 4 3 3 3 3 5 6 6 6 6 7 7 6 4 3 3 3 4 5 5 5 4 2 2 2 1 1 1 1 1 2 2 3 4 4 4 4 4 5 5 6 8 7 6 5 9 18 26 29 28 24 17 9 3 -3 -3 -7 -13 -10 -3 1 3 4 3 3 2 2 4 6 6 6 7 8 14 18 15 12 13 12 7 5 12 12 5 5 12 12 5 7 8 10 11 14 7 0 -0 5 10 8 2 7 16 16 6 3 4 6 8 7 5 3 5 4 2 4 5 6 7 12 9 8 14 10 8 18 17 10 1 -2 2 7 7 2 2 8 8 6 7 9 9 6 5 7 11 8 8 18 28 23 13 10 11 11 12 12 12 10 7 5 5 6 6 6 5 5 11 20 18 8 3 4 6 8 9 8 7 6 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 5 4 4 4 4 3 4 5 5 5 5 4 2 2 2 4 6 8 8 8 7 7 8 9 10 10 9 8 8 7 7 7 7 6 5 5 5 5 6 6 6 6 7 7 8 8 8 8 7 8 8 9 10 10 10 9 9 8 8 8 8 8 7 7 7 6 5 5 5 6 7 8 8 7 6 6 5 5 5 5 5 6 7 6 2 1 4 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 2 1 2 3 3 2 1 2 2 2 3 2 3 4 5 6 6 8 10 10 12 14 17 19 19 16 12 10 10 9 8 6 6 8 9 10 8 6 5 5 5 6 6 6 6 4 4 3 3 2 3 5 5 4 3 2 3 5 8 10 12 13 14 14 13 12 9 7 5 5 4 4 3 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 6 7 8 9 9 10 9 7 6 5 3 2 3 4 4 5 4 3 3 4 4 5 9 11 12 10 7 6 6 7 9 9 8 6 5 4 4 6 9 10 7 3 2 4 7 7 6 6 7 7 8 8 7 5 3 3 2 2 3 3 3 3 4 5 6 5 5 4 4 3 3 3 3 4 5 6 6 7 7 8 7 6 4 3 3 3 5 6 7 5 3 2 2 1 1 0 1 1 1 2 2 3 4 4 4 5 6 6 7 8 7 6 8 14 23 28 25 14 8 7 9 11 7 1 -10 -13 -7 -2 1 2 3 4 3 3 4 5 6 7 7 7 9 17 19 14 10 12 11 9 8 11 11 5 2 9 8 7 5 4 6 8 13 10 1 -1 4 8 3 3 11 15 10 12 10 8 6 6 4 2 4 8 9 8 8 7 5 4 7 3 8 16 4 4 11 12 11 9 6 6 8 9 6 5 7 2 2 6 10 9 4 1 13 17 12 15 24 26 19 12 10 11 11 12 12 12 10 7 5 5 5 5 5 4 6 14 22 16 5 3 4 6 8 9 8 7 6 5 5 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 7 7 7 6 5 5 5 5 4 5 4 4 4 4 4 5 5 5 5 5 4 2 2 3 4 5 6 7 7 8 8 9 9 9 9 8 8 8 7 7 6 6 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 8 8 8 8 7 6 6 6 6 6 5 5 3 2 2 4 6 7 6 6 5 5 6 5 6 7 7 6 2 -2 2 6 6 6 6 6 6 7 7 6 3 4 4 4 4 5 5 6 7 7 7 9 5 1 2 3 4 4 3 2 3 2 2 3 3 4 5 7 7 6 4 5 8 11 14 18 18 16 13 11 11 12 10 8 7 8 10 11 9 7 5 4 5 6 6 6 6 6 4 3 2 2 2 3 4 4 4 3 3 3 5 7 9 10 10 10 10 8 6 5 5 4 5 4 3 3 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 8 6 6 6 7 9 11 12 14 13 11 9 5 2 3 4 4 5 4 3 2 3 4 5 6 8 10 11 9 7 6 6 7 8 8 7 5 4 4 5 7 9 8 6 5 6 7 6 6 6 7 7 7 6 6 4 4 3 3 3 3 3 3 3 3 4 5 5 4 4 4 3 3 3 3 4 5 5 6 7 8 9 8 6 5 4 3 3 4 8 9 6 3 2 2 2 1 1 1 0 0 1 2 3 3 4 5 6 8 9 9 8 8 9 11 13 18 26 25 13 2 4 13 18 12 -4 -17 -13 -4 -0 1 2 3 3 3 3 4 5 6 7 9 10 15 20 18 12 10 9 8 9 10 8 5 3 2 6 7 9 6 8 2 0 2 3 -1 1 6 8 3 4 6 6 3 12 13 8 6 5 3 -0 4 12 14 11 8 8 5 1 2 3 6 8 0 6 5 8 8 9 15 14 11 9 8 9 10 3 4 8 12 9 4 3 13 15 13 18 21 19 14 10 9 10 11 12 12 10 8 7 6 5 5 5 5 4 8 17 21 12 4 3 4 6 7 8 9 7 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 6 5 5 6 6 7 7 7 6 5 5 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 2 3 4 5 5 7 7 7 7 7 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 8 10 10 10 9 8 8 8 7 6 6 6 5 5 5 6 6 5 3 1 3 5 6 6 6 5 4 5 5 5 6 7 7 4 -1 -0 4 6 6 6 6 6 7 8 9 6 5 5 4 4 3 4 5 6 7 8 8 7 5 6 6 7 6 6 5 4 4 4 3 3 4 6 7 7 6 4 5 5 7 10 13 15 15 12 11 11 12 12 11 9 8 8 9 9 7 5 4 4 5 6 6 7 6 5 4 3 2 2 2 3 4 4 4 3 4 4 5 6 7 7 7 6 5 4 3 4 4 4 4 4 3 3 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 13 10 8 6 6 6 8 10 12 15 16 15 13 9 4 3 3 4 5 4 3 2 2 3 3 4 6 8 10 11 9 8 7 7 7 8 7 6 4 4 4 5 7 8 9 7 6 6 6 5 5 5 6 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 5 5 5 6 7 8 9 8 6 5 5 4 3 5 9 10 6 2 1 2 3 2 2 1 0 0 0 1 3 3 4 7 9 12 14 12 9 10 13 9 5 10 22 27 21 10 9 12 10 -0 -14 -20 -11 -2 0 0 1 3 3 4 4 4 5 7 12 16 17 18 18 13 11 11 8 6 8 10 9 8 7 5 5 6 2 -1 2 -1 -2 -2 -2 -2 2 9 10 4 1 0 5 13 13 10 5 3 4 4 0 3 10 14 10 7 10 7 2 6 10 7 -1 -1 7 0 3 1 4 16 15 11 7 5 7 10 7 4 6 11 10 6 9 9 8 13 16 17 14 10 9 8 9 10 11 10 8 6 6 6 6 5 4 5 5 8 17 20 9 3 4 5 6 6 8 8 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 7 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 4 3 3 4 5 5 6 6 5 6 6 7 7 6 6 6 6 6 6 6 6 6 7 7 8 7 7 7 7 6 6 6 7 7 7 8 9 10 9 8 8 7 7 7 7 7 6 5 4 4 5 5 6 7 6 4 4 4 5 6 5 4 5 6 6 6 7 7 5 1 1 4 6 6 6 6 6 7 8 10 10 9 8 7 7 5 4 5 5 7 8 7 7 8 9 10 11 10 8 8 7 6 5 4 4 5 6 7 7 6 5 5 5 6 7 8 9 12 14 14 13 13 13 11 9 7 6 6 6 6 5 4 4 4 5 6 6 7 6 5 4 3 2 2 3 3 3 4 5 4 4 4 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 14 11 10 9 8 8 9 10 11 12 13 14 13 10 6 3 3 4 4 5 3 2 1 2 2 3 4 5 7 9 10 10 9 7 7 7 7 6 5 4 4 4 5 6 7 7 6 5 5 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 6 8 9 10 9 7 6 6 4 3 6 9 8 5 2 1 3 4 4 4 3 1 0 0 1 2 3 5 10 15 19 19 15 10 8 11 4 -1 6 15 20 19 15 7 -1 -11 -15 -17 -14 -5 -1 0 2 3 3 4 4 5 5 6 10 18 20 16 14 13 10 10 12 10 7 8 9 12 14 12 7 6 3 -6 -4 2 1 0 0 3 2 1 9 7 2 -1 -1 6 13 11 8 4 -1 3 7 3 0 7 14 11 12 15 10 5 9 14 7 -2 5 13 5 2 -2 -0 12 11 7 7 8 9 7 5 2 2 9 11 9 9 7 11 17 16 14 11 8 8 8 9 10 10 9 7 6 6 6 5 4 5 6 6 8 16 20 10 4 5 6 6 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 3 4 4 4 5 5 5 5 7 7 7 7 6 5 5 5 5 4 4 4 4 4 5 4 3 3 3 4 4 4 5 6 8 8 7 6 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 9 10 9 7 7 7 7 7 7 7 6 5 4 3 2 1 2 7 8 6 5 5 5 5 5 3 3 7 9 7 6 6 4 2 2 5 6 6 6 5 6 6 7 8 10 10 10 9 9 8 7 7 6 6 7 7 7 8 10 13 14 12 10 8 7 6 6 5 5 6 7 8 7 6 5 6 6 6 7 8 8 9 12 15 16 18 17 13 9 7 6 5 5 5 5 5 4 5 5 5 5 6 6 6 5 5 4 3 3 3 3 3 5 5 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 12 10 10 9 10 11 11 11 10 10 11 12 10 8 5 4 4 4 5 4 2 1 1 1 2 3 4 5 8 10 11 11 10 8 7 7 6 5 4 4 4 4 4 5 6 5 5 6 6 7 7 6 6 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 8 9 9 8 7 6 5 4 6 8 8 5 2 2 3 4 5 5 5 3 0 -0 0 1 3 9 17 23 21 16 11 6 3 5 0 -3 3 8 11 9 6 -10 -23 -24 -16 -10 -5 -1 0 1 3 5 5 6 6 6 8 11 17 20 16 12 10 10 8 8 10 9 7 5 9 13 11 8 9 15 10 4 7 10 5 1 3 8 5 1 10 6 0 -0 1 1 2 6 7 4 1 3 6 2 -1 7 13 13 19 21 12 8 11 11 4 0 11 14 12 14 3 1 10 7 2 5 10 8 3 0 -1 4 7 8 8 11 13 18 21 17 13 10 9 8 8 9 10 9 8 6 6 6 6 5 5 5 5 6 8 15 20 12 5 6 7 6 6 6 6 7 6 6 5 5 6 6 5 5 6 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 6 7 7 6 5 6 5 5 5 5 4 4 4 4 4 5 4 3 3 3 4 4 4 6 7 7 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 7 7 8 8 7 7 7 6 6 5 5 6 7 7 7 7 8 9 10 8 7 6 6 6 7 7 6 6 5 4 3 1 -1 -2 2 6 7 6 7 6 6 4 1 1 5 10 9 6 5 3 2 4 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 8 8 7 6 7 7 6 7 9 13 14 12 8 6 6 6 6 7 7 8 8 8 6 6 5 5 6 6 7 8 9 9 10 12 15 19 20 19 15 11 8 6 5 4 4 5 5 5 4 4 4 4 5 5 5 6 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 9 10 10 11 11 11 10 9 9 9 11 11 10 8 6 5 4 4 5 3 3 1 0 1 2 3 5 7 8 11 14 14 11 8 7 6 5 4 4 4 4 4 4 4 5 5 6 7 8 8 7 6 6 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 6 6 7 6 6 6 7 7 7 7 7 7 6 5 5 6 8 8 5 3 2 3 4 5 6 7 5 2 -0 -1 1 11 21 26 22 11 5 4 4 2 1 -3 -4 -1 -1 1 1 -11 -28 -33 -21 -9 -4 -2 0 2 4 6 8 8 8 8 10 15 19 20 17 12 10 11 10 8 5 4 6 8 6 10 10 4 2 10 20 19 15 13 8 5 5 6 9 7 4 15 8 -2 3 6 3 2 5 5 5 6 7 4 -2 1 9 10 11 16 20 13 7 9 8 3 5 10 5 6 12 7 6 8 4 -2 -0 5 7 4 2 3 7 7 5 7 18 29 27 19 15 11 9 9 8 8 9 9 8 7 5 6 6 5 5 5 5 4 5 9 16 19 12 6 6 7 6 6 6 6 7 6 6 5 5 6 6 5 6 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 7 6 5 5 5 5 5 4 4 4 4 4 4 5 5 4 3 3 3 3 4 5 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 7 7 7 6 6 5 5 5 6 7 7 7 7 8 9 9 8 7 6 6 6 6 6 5 4 4 4 4 3 1 1 3 5 5 6 7 7 6 4 2 -0 2 6 8 7 4 2 2 5 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 9 8 7 7 8 7 7 6 8 11 13 10 7 6 6 6 7 8 9 9 8 8 7 5 5 4 4 5 6 7 8 9 10 11 13 15 19 22 24 20 14 11 8 6 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 5 5 4 3 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 4 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 7 8 9 10 10 10 9 8 8 10 11 13 12 10 7 5 4 5 5 4 2 1 1 2 3 4 5 6 9 14 15 13 10 8 7 6 5 5 5 4 4 4 4 5 5 6 8 9 9 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 6 5 5 6 6 5 4 5 8 8 5 4 2 3 4 4 5 7 8 5 1 0 8 20 27 24 13 1 -1 3 3 -0 -3 -0 3 1 -6 -7 -5 -16 -26 -23 -10 -4 -2 -1 2 5 8 9 10 11 10 12 17 20 18 14 10 10 12 13 11 9 7 5 5 8 8 12 9 2 1 6 13 11 10 11 7 7 6 6 7 8 11 17 10 -1 8 11 7 7 8 6 7 8 8 1 -4 4 12 11 9 6 10 7 4 8 7 5 7 8 4 1 0 2 10 10 4 -1 -1 2 6 10 10 11 11 10 12 15 23 30 24 15 11 10 8 8 8 9 8 8 7 6 6 6 6 5 4 4 5 4 4 10 18 17 10 6 7 7 6 6 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 5 6 7 7 6 5 5 5 5 5 4 4 4 3 4 4 5 5 4 3 3 3 3 5 6 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 7 7 6 5 5 5 5 6 6 7 7 8 8 8 9 8 8 7 6 6 5 6 5 4 4 4 4 4 3 5 6 5 5 5 6 6 6 6 5 4 2 3 5 6 7 4 1 3 6 7 7 7 7 7 6 6 6 7 6 7 7 8 9 9 9 9 8 8 8 7 7 6 7 11 12 9 6 6 6 7 8 8 8 8 8 7 7 5 5 4 4 4 5 6 7 9 10 11 12 13 14 19 25 27 24 20 17 14 10 7 6 5 5 4 4 3 3 4 4 5 6 6 7 7 6 6 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 4 4 5 6 7 9 10 10 9 8 9 11 13 13 12 11 9 7 7 6 6 4 2 2 2 4 4 4 5 7 11 14 14 12 10 10 8 7 6 6 5 5 4 4 4 4 4 6 8 9 9 7 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 5 4 5 5 6 7 8 7 7 6 5 5 6 5 4 3 4 5 6 6 5 4 4 4 3 4 7 9 7 3 7 16 19 16 13 7 -1 -0 4 1 -5 -0 11 19 14 1 -4 -2 -5 -9 -7 -4 -3 -2 2 6 9 12 13 13 12 15 19 20 16 11 8 8 12 14 12 10 10 11 11 8 5 8 13 11 5 3 5 9 7 7 9 8 7 3 3 3 6 13 9 8 2 8 10 9 11 10 8 9 9 5 -1 -1 6 12 9 1 -2 7 4 5 9 8 5 6 8 10 7 1 -3 7 15 8 5 1 1 5 10 11 12 17 19 20 20 21 20 16 11 9 8 7 7 8 9 8 7 6 6 6 6 6 5 4 4 5 5 3 8 16 16 9 6 7 7 6 6 6 6 7 7 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 7 7 6 5 4 4 4 5 4 4 4 4 4 4 5 6 5 4 3 3 3 3 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 7 7 6 6 5 5 5 5 5 6 7 7 7 8 8 9 9 8 7 6 5 5 5 5 4 4 4 4 4 4 6 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 3 2 4 6 7 7 7 7 7 6 7 7 7 7 6 6 6 8 9 9 9 9 8 7 7 7 7 9 10 10 8 7 6 7 7 7 7 7 7 6 6 6 6 5 5 4 4 4 5 6 7 9 10 12 12 11 13 17 22 25 26 26 26 22 16 11 7 4 4 4 4 3 3 3 4 5 6 7 7 7 7 6 5 5 4 4 3 3 4 4 5 5 5 5 4 5 6 7 7 6 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 4 3 3 3 3 3 4 7 9 11 11 10 9 10 11 11 12 13 14 13 11 10 9 7 5 3 3 3 4 3 4 6 8 11 13 12 12 12 11 9 7 7 6 5 5 4 4 3 3 4 6 7 8 7 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 5 4 4 5 6 7 8 8 7 7 7 6 5 4 3 2 4 5 7 7 5 4 4 3 4 5 7 8 11 18 20 13 8 8 4 3 6 6 1 -7 6 20 31 26 9 2 2 -3 -6 -5 -5 -3 2 7 10 13 14 15 15 16 20 21 16 10 8 8 8 13 14 10 9 10 11 12 9 5 6 10 10 8 3 4 8 12 10 6 4 4 4 6 5 5 7 -5 -2 6 3 6 10 12 9 7 8 8 3 -0 1 6 10 7 -7 0 12 8 9 10 8 4 3 7 12 5 -0 3 9 11 7 7 2 0 3 5 8 13 19 22 22 19 17 14 12 9 8 7 7 7 8 9 8 6 6 6 6 6 6 5 4 4 6 4 3 5 12 16 12 8 7 7 7 6 6 6 7 7 7 6 6 6 5 5 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 6 7 7 6 5 4 4 4 4 4 4 4 4 4 5 5 6 5 4 3 3 3 4 5 6 6 6 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 8 8 8 8 7 6 5 5 5 5 5 5 5 5 6 7 7 8 9 9 10 9 7 6 5 4 4 3 4 4 5 6 8 7 7 6 7 7 6 6 6 6 5 5 5 6 6 6 6 4 2 3 5 6 6 7 7 8 7 7 6 7 7 7 6 5 5 6 8 9 9 8 7 7 7 8 8 9 8 8 7 6 6 6 6 6 6 6 5 6 6 5 5 5 6 5 5 5 4 4 6 8 8 10 11 11 11 11 12 15 18 23 28 33 31 24 16 8 5 5 5 4 3 3 4 5 6 6 6 7 7 7 7 5 5 4 3 3 4 4 4 5 5 5 5 5 5 6 7 7 7 8 7 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 7 5 4 4 3 4 4 5 7 10 13 12 9 7 7 7 9 12 16 17 15 14 13 11 8 5 4 4 4 3 4 5 6 8 10 11 12 12 12 11 9 8 7 6 6 5 4 4 3 2 3 5 7 7 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 4 4 5 5 4 4 4 5 6 7 8 8 8 8 7 7 6 5 4 4 6 8 8 5 3 3 3 4 4 6 12 20 21 14 7 3 -2 -3 5 11 9 -1 -9 7 17 26 24 5 -6 -9 -13 -13 -8 -3 3 8 11 12 13 15 17 17 18 21 18 13 11 12 13 12 9 8 8 9 11 9 9 9 4 4 7 9 7 2 2 4 10 8 5 2 5 9 9 4 4 4 -8 -5 7 2 1 6 9 7 7 7 7 5 4 2 2 7 7 -3 5 10 12 13 7 5 6 7 9 10 1 -6 10 15 5 2 6 4 2 2 1 7 14 18 20 19 17 15 12 10 9 7 7 8 8 8 9 8 7 6 6 6 5 5 5 4 5 5 4 4 5 9 14 15 10 7 7 7 6 6 6 7 8 7 7 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 5 4 4 5 4 4 6 7 6 5 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 3 3 3 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 8 7 6 5 5 4 4 4 5 5 5 5 5 5 7 8 9 9 10 10 8 6 4 4 3 3 3 3 4 6 9 11 7 6 6 6 6 6 6 6 5 5 5 6 5 6 6 4 2 4 5 6 6 7 7 8 8 7 7 7 7 7 7 5 5 5 6 8 8 7 6 6 9 11 11 9 7 5 5 5 5 4 5 5 5 6 5 6 5 5 5 6 6 6 5 5 4 4 5 6 7 8 9 10 10 9 8 7 9 12 17 27 37 38 32 21 11 7 5 4 4 3 4 5 5 6 6 6 6 7 7 7 6 5 5 4 4 4 4 4 4 4 3 4 4 4 5 6 6 8 10 9 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 10 8 7 7 6 5 5 5 5 8 12 12 11 8 6 6 7 10 13 15 14 14 14 13 11 9 6 5 4 4 4 5 5 7 8 10 10 11 11 10 9 9 9 8 7 7 5 5 4 3 3 4 6 7 7 6 5 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 5 5 4 3 3 4 4 5 6 8 8 8 9 8 8 7 8 7 7 9 8 5 2 1 3 3 4 9 16 17 10 4 1 -4 -6 -0 10 15 9 -2 -4 1 6 11 9 -13 -22 -22 -18 -11 -2 5 10 12 11 9 10 14 18 17 19 21 16 12 13 16 17 14 6 1 4 10 11 6 5 6 3 3 9 12 7 5 4 2 3 8 7 3 9 14 8 4 7 9 4 5 9 4 -1 1 3 5 6 6 5 7 9 5 2 6 5 1 2 4 12 7 3 9 15 16 15 12 4 -1 12 14 5 1 4 3 2 1 1 7 14 17 16 15 14 12 11 10 9 8 7 8 8 9 8 8 7 6 6 6 6 5 4 4 5 5 5 6 5 6 14 18 11 5 5 6 7 6 6 7 8 7 6 7 6 6 6 6 6 7 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 5 4 4 5 5 6 6 6 5 3 3 3 3 4 5 5 5 5 5 5 5 6 6 5 6 6 5 5 5 5 5 5 5 5 6 6 7 8 9 8 7 6 5 5 4 4 4 4 4 4 4 5 4 5 6 7 8 10 10 11 10 7 5 4 3 3 3 2 2 0 5 9 7 5 6 6 6 6 6 6 5 5 6 5 5 6 6 4 3 5 6 6 6 7 8 8 7 7 7 7 8 7 7 6 6 5 5 6 7 6 5 5 9 12 12 9 6 4 3 3 3 3 3 4 5 6 6 6 6 6 5 6 6 6 6 6 5 5 4 5 6 7 7 7 9 9 8 6 6 8 10 16 27 38 43 38 25 14 8 6 6 5 5 5 5 6 5 6 5 6 6 6 6 7 7 5 4 4 4 4 3 3 3 3 3 4 4 5 5 7 8 9 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 10 9 9 8 8 7 6 6 7 9 11 11 10 9 7 8 8 8 7 7 10 12 12 12 11 9 6 4 4 5 5 6 6 7 8 9 9 9 8 8 8 9 10 9 8 7 6 5 5 4 4 5 6 7 7 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 4 6 7 7 8 8 8 9 9 9 9 9 8 4 2 3 4 4 5 8 8 2 -3 -3 -7 -7 4 13 17 15 9 2 -3 -7 3 4 -6 -18 -19 -13 -6 1 8 13 14 11 7 6 9 15 19 17 20 21 15 10 12 14 16 13 7 1 4 11 10 6 4 9 10 6 6 8 9 10 7 2 -0 5 7 1 3 5 2 7 12 15 18 18 14 9 5 4 4 3 3 4 4 6 8 6 6 5 1 0 3 10 11 -2 4 18 22 21 19 14 6 5 10 9 6 5 4 1 -0 4 6 9 13 14 12 10 8 9 10 10 10 9 8 8 8 9 9 8 7 7 8 8 7 5 5 4 3 5 6 6 3 6 17 21 11 2 2 6 7 5 6 7 7 7 6 6 7 7 7 7 8 7 7 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 3 3 3 3 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 5 5 5 6 6 7 8 8 7 6 5 5 4 5 5 4 4 3 3 3 4 4 5 5 7 8 10 12 12 11 8 6 4 4 3 3 3 2 -0 1 5 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 7 8 7 7 8 7 7 7 7 7 7 6 6 6 6 5 5 5 6 8 11 11 9 6 4 2 2 2 3 4 5 6 6 7 6 7 7 6 6 6 6 7 7 6 6 5 5 6 6 6 6 6 7 8 8 7 7 8 10 16 28 41 46 39 25 17 18 19 16 13 10 7 7 6 6 5 5 5 5 6 7 7 6 6 5 4 3 3 3 3 3 4 4 4 5 5 5 5 6 9 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 9 8 8 9 8 7 7 7 7 8 9 10 10 9 9 8 5 3 4 7 11 11 12 11 9 7 5 5 5 6 6 6 6 7 7 7 7 6 6 7 8 9 9 8 8 7 7 6 6 5 5 6 6 6 5 4 4 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 6 6 4 3 3 2 3 3 4 5 6 7 7 7 8 8 8 9 9 8 6 7 8 8 8 7 4 -0 -3 -3 -3 -4 4 12 14 14 11 7 2 -4 -5 4 7 -1 -2 1 6 10 13 15 15 11 6 3 6 11 17 18 16 18 18 14 10 8 8 10 12 10 4 4 10 10 5 4 12 15 9 3 2 7 10 7 5 1 -1 3 4 -0 -5 -7 2 7 12 18 19 15 11 10 9 7 5 5 6 6 5 3 5 7 3 -3 2 13 16 6 -1 11 20 18 19 15 9 6 7 8 5 5 8 5 2 3 9 12 10 10 11 10 6 5 7 9 10 11 11 10 8 6 7 8 8 8 9 9 9 7 6 5 4 3 5 5 4 4 9 16 18 13 6 3 4 5 5 6 6 6 6 6 7 7 7 7 8 8 8 7 7 6 5 5 5 4 3 4 5 5 5 6 6 6 6 5 5 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 4 4 3 3 3 4 5 5 5 5 5 6 6 5 5 6 5 5 5 5 5 4 4 4 5 5 6 7 8 7 7 6 5 5 4 5 5 4 4 3 3 3 3 4 4 4 5 6 8 11 13 13 12 9 6 5 4 3 4 5 5 6 4 4 5 5 5 6 5 5 5 6 6 6 5 5 5 5 5 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 8 9 8 5 3 3 3 3 4 6 7 7 7 7 7 7 7 8 7 7 6 7 7 7 6 6 5 5 6 6 6 5 6 7 8 7 7 7 8 10 18 29 39 40 29 25 30 31 27 22 19 16 13 11 9 7 6 5 5 5 5 6 7 7 6 5 4 3 3 4 4 5 5 4 4 5 5 4 4 5 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 7 7 7 8 8 8 8 7 6 6 8 9 10 10 9 6 3 5 8 11 12 11 11 10 7 6 5 5 6 7 6 6 6 6 6 5 4 5 5 7 8 9 8 7 7 7 7 7 6 6 6 6 5 4 4 5 7 8 7 6 5 4 5 5 5 5 4 4 4 4 5 6 6 5 4 3 2 3 3 4 4 5 6 6 6 6 6 7 8 9 9 10 13 14 14 15 11 6 2 1 3 4 5 10 8 7 5 2 1 -0 -1 -0 5 8 6 10 13 15 17 18 15 10 4 1 3 9 15 14 13 13 13 12 11 9 7 7 8 11 12 9 6 7 6 3 4 8 11 11 8 4 6 5 4 6 4 1 4 6 1 2 0 -2 3 8 10 9 8 9 11 10 8 5 7 8 9 7 4 6 7 3 -0 7 16 13 1 1 11 15 15 14 8 6 6 6 4 1 3 7 4 2 8 11 9 7 8 11 11 9 8 8 9 10 11 11 10 8 6 7 7 8 9 10 10 9 8 6 5 4 4 6 4 4 6 8 10 14 16 12 7 4 3 3 5 5 5 5 6 7 8 8 8 8 8 9 8 7 6 5 5 4 4 4 4 5 6 6 5 5 5 5 6 5 4 4 4 4 4 5 6 7 7 7 6 6 5 4 4 4 5 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 7 7 7 6 5 4 4 5 5 4 3 3 3 3 4 3 3 4 5 6 8 11 13 14 13 10 6 4 4 3 3 4 6 7 5 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 7 8 8 7 6 6 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 6 7 7 6 5 6 7 7 6 6 6 6 7 8 9 9 8 8 8 8 8 7 8 7 7 7 7 7 7 6 5 5 7 7 6 6 6 6 7 7 7 8 8 9 12 16 24 27 23 23 29 32 27 22 20 22 22 20 17 13 11 9 7 5 4 5 6 6 7 6 6 5 4 5 6 6 5 4 4 4 5 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 7 7 6 7 7 8 8 7 7 5 4 5 6 7 9 9 8 6 6 9 10 10 11 11 10 9 7 6 6 6 7 7 7 6 5 5 5 4 5 5 6 7 8 8 7 7 7 7 7 7 7 7 7 5 5 5 6 9 12 10 7 6 6 6 6 6 6 5 5 5 4 4 5 6 6 5 5 4 4 3 3 4 5 6 6 6 6 6 6 8 9 10 12 16 17 15 9 5 4 5 4 5 5 5 7 8 5 -2 -4 -1 1 1 2 5 6 6 10 16 17 16 13 7 1 -1 1 9 15 14 10 9 10 10 9 8 9 10 11 11 11 9 10 9 7 5 4 6 5 6 15 15 10 9 6 4 5 5 7 13 14 6 8 7 1 5 8 6 3 3 7 10 9 8 6 7 7 10 8 4 5 6 4 3 5 11 9 3 5 8 9 14 8 4 13 13 7 2 -0 2 6 4 2 5 7 4 3 7 13 15 14 11 10 10 11 12 11 10 8 8 8 8 8 9 10 11 10 9 7 5 5 5 5 4 4 6 6 6 11 15 14 13 11 5 3 4 4 2 3 6 7 8 8 8 9 9 9 8 8 7 5 4 4 3 3 5 7 7 6 5 5 5 5 5 5 4 4 4 4 4 5 6 7 7 7 6 5 5 4 4 5 5 4 3 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 6 8 11 14 16 14 10 6 4 3 3 3 3 4 4 4 6 6 6 5 4 5 5 5 4 4 5 6 6 6 5 5 7 8 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 7 7 7 7 6 6 7 8 7 5 4 7 9 9 9 10 10 10 11 11 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 5 6 6 7 7 6 6 6 6 7 8 9 9 8 11 14 13 14 17 22 23 20 17 14 16 21 21 19 16 16 15 12 10 7 5 5 5 6 7 8 7 6 6 7 6 5 4 3 4 4 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 7 7 7 7 7 8 7 7 5 4 4 4 4 5 7 8 7 7 7 7 8 10 11 11 11 10 9 9 9 9 9 9 8 7 6 5 5 5 5 6 7 7 7 7 6 6 7 7 7 7 8 7 6 5 6 8 12 15 13 9 6 6 6 7 7 7 6 5 5 4 4 4 5 7 8 8 6 5 4 4 4 5 5 6 6 5 6 6 8 8 8 10 13 14 10 2 1 5 5 5 5 4 4 7 12 6 -4 -1 6 11 8 6 9 10 10 13 15 12 7 0 -2 -3 0 11 19 18 10 5 7 10 10 9 8 10 10 13 13 12 7 9 10 7 6 4 5 4 6 14 15 16 14 10 11 13 7 9 16 17 11 8 8 7 6 7 6 2 2 8 13 9 7 9 9 7 7 5 1 4 5 4 0 -2 4 8 7 9 8 7 10 3 4 18 18 9 2 2 5 7 6 4 4 5 2 2 7 15 18 16 12 10 10 12 12 10 9 8 9 9 9 9 9 10 11 10 10 8 7 6 5 5 4 3 6 5 5 8 10 13 17 15 8 6 6 3 0 2 5 7 7 8 8 8 8 8 8 8 7 5 4 4 3 3 6 8 9 7 5 4 5 5 5 5 5 4 4 4 4 5 6 8 7 6 6 5 5 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 9 13 15 14 11 6 3 3 3 2 2 3 4 5 6 6 5 5 4 4 5 5 4 4 4 5 5 4 4 6 7 7 7 8 7 7 7 7 6 6 6 7 7 7 8 7 7 8 7 7 6 6 6 8 9 8 5 3 5 7 9 10 11 12 12 12 12 11 9 9 8 7 7 7 7 7 6 6 6 6 7 7 6 6 5 6 7 7 6 6 6 6 6 6 7 8 8 11 11 10 10 11 14 15 15 13 11 12 15 16 15 13 14 16 17 16 14 9 4 4 5 7 8 8 8 8 7 6 4 3 3 3 3 3 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 4 4 5 6 6 6 7 6 6 5 6 8 9 10 11 12 13 13 12 12 12 12 11 9 7 6 6 5 5 6 6 7 6 6 6 6 6 6 7 7 7 7 6 7 9 13 16 14 10 6 5 7 8 9 8 7 6 5 4 2 3 5 8 11 11 9 6 5 5 4 5 6 7 7 6 6 6 7 6 5 6 7 8 7 7 8 7 6 6 5 5 4 8 10 4 -2 4 16 28 27 14 7 4 6 10 7 1 -4 -6 -4 1 11 24 25 15 5 2 5 8 9 9 10 12 13 13 14 13 7 7 9 7 7 6 5 4 8 10 11 15 14 13 15 17 10 7 7 9 9 7 10 10 5 8 3 -1 5 15 17 10 8 12 12 10 5 1 1 4 6 7 1 -1 6 11 8 11 14 13 10 -0 3 12 14 9 4 6 7 7 9 9 6 6 1 1 8 14 16 15 11 9 10 11 10 8 8 8 9 10 9 10 9 9 10 9 9 8 8 7 7 7 4 3 5 6 6 5 7 11 15 13 8 10 12 5 0 1 4 6 7 7 7 8 8 8 8 7 6 5 4 3 2 4 7 10 10 8 5 4 5 5 5 5 4 5 4 4 4 5 7 8 7 6 5 5 5 4 5 6 6 5 4 5 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 6 8 12 14 14 11 7 4 2 2 3 3 5 6 5 5 6 5 5 5 4 4 4 4 3 3 4 4 4 1 3 7 8 7 7 8 8 8 7 6 6 6 6 7 7 7 8 8 8 8 7 6 6 7 9 9 8 6 4 2 2 4 7 8 9 10 11 11 10 8 7 6 6 5 5 6 6 6 6 6 6 6 6 7 5 5 5 6 6 6 6 5 5 5 5 6 6 7 9 10 10 10 9 10 11 13 13 12 12 14 13 12 13 13 15 17 20 21 16 9 6 5 5 5 7 8 8 7 5 3 2 3 3 3 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 12 9 5 6 5 1 5 8 14 13 10 11 15 13 9 5 9 16 15 12 10 10 10 15 18 14 7 3 7 15 22 16 10 6 2 7 16 21 17 11 6 10 14 13 15 17 16 15 13 13 15 12 7 3 5 7 10 12 13 13 17 20 19 17 15 12 10 11 12 14 15 16 15 14 15 15 16 17 18 17 14 11 9 8 9 12 9 7 7 9 11 10 10 11 14 16 11 6 8 11 12 12 12 12 12 12 12 12 13 12 12 12 13 12 12 12 12 13 13 12 11 12 13 13 12 11 12 11 11 11 11 11 11 11 10 12 12 12 12 12 13 13 12 11 10 2 -3 2 13 18 13 1 10 31 31 22 16 13 12 12 13 13 13 14 14 14 13 13 14 14 13 12 12 12 12 13 14 14 13 13 14 13 13 13 13 13 13 13 15 15 13 13 13 13 14 15 16 15 15 15 16 17 17 17 17 17 17 16 16 16 15 15 16 17 16 16 15 15 15 15 15 16 15 15 14 15 16 15 15 15 14 14 13 13 14 14 15 15 14 14 14 13 14 14 14 13 14 15 18 18 16 14 14 14 15 15 16 17 16 16 16 16 16 15 15 16 16 16 17 18 18 16 16 15 15 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 11 11 12 11 11 11 12 12 11 12 12 11 11 11 10 10 11 10 11 12 13 14 14 15 15 15 14 13 12 12 11 10 11 11 10 10 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 10 10 10 11 11 11 12 12 11 11 12 12 13 13 13 14 14 14 13 13 12 15 18 17 16 15 14 13 13 13 12 12 12 12 11 11 11 11 12 13 14 15 16 18 17 15 14 12 10 8 7 8 9 9 9 9 10 12 12 12 11 8 4 1 1 4 8 18 24 21 17 15 14 14 13 14 14 15 15 15 15 16 15 14 13 13 13 14 15 14 15 15 14 14 14 14 14 14 13 14 14 13 13 13 14 14 16 16 16 17 17 15 14 14 13 13 14 15 15 15 14 15 15 15 15 14 14 13 12 13 13 14 14 14 13 13 13 14 nan
nan 18 16 10 8 4 3 8 16 19 13 10 10 11 11 11 8 8 9 10 16 19 19 15 9 5 10 12 12 16 18 14 2 1 3 -0 7 11 14 13 11 8 15 15 13 15 14 14 14 16 17 14 10 9 7 9 12 14 15 14 13 16 18 18 17 16 15 12 10 9 11 13 13 12 12 13 13 12 15 18 19 17 15 12 9 7 8 8 6 5 8 9 9 9 10 12 13 11 8 8 9 11 12 12 12 12 13 13 12 12 12 12 13 12 13 12 12 12 12 12 12 12 12 14 13 13 12 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 11 9 4 3 10 20 23 15 1 4 21 23 22 17 14 12 12 13 13 13 14 14 13 13 13 14 13 13 12 12 13 13 14 14 14 13 12 14 13 13 12 12 12 13 13 15 15 14 13 12 13 14 15 16 16 15 15 16 17 17 17 17 15 15 16 17 16 14 13 14 17 21 20 17 16 15 14 14 15 15 15 15 15 15 16 16 16 16 15 14 14 14 14 15 16 15 15 14 14 14 14 14 12 10 10 15 18 15 14 13 14 15 15 16 17 16 16 15 15 15 15 15 16 15 15 16 16 16 16 15 15 15 15 14 14 14 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 13 12 12 11 11 11 10 10 11 10 10 10 10 10 11 11 11 12 14 15 15 14 12 11 10 10 10 9 10 10 10 11 10 10 11 11 11 10 11 10 11 10 10 10 10 10 9 9 10 10 11 12 12 12 11 12 12 11 11 10 10 11 11 11 11 11 12 12 12 12 13 13 13 14 14 13 14 13 13 13 15 18 17 15 13 11 11 13 14 13 11 11 10 10 11 11 12 13 13 15 15 15 16 15 15 15 12 8 7 8 10 11 11 11 11 12 12 13 13 9 3 -1 4 13 21 24 24 24 20 16 15 15 14 13 13 13 14 14 14 14 15 15 14 14 13 13 13 14 15 15 15 14 14 14 14 13 13 14 14 15 14 14 15 15 16 18 17 16 16 17 15 14 14 13 13 14 14 15 15 15 14 13 14 14 14 15 15 14 13 13 14 14 13 13 13 13 14 nan
nan nan nan nan nan nan nan 17 20 17 13 6 5 8 13 14 10 7 10 15 18 20 18 14 9 9 10 16 20 20 20 16 8 1 -1 2 9 15 16 13 8 9 11 11 14 14 13 11 12 15 15 15 15 13 13 14 17 19 18 14 13 15 14 13 13 13 14 14 12 10 10 12 11 10 10 12 13 11 12 13 15 16 18 17 14 8 5 7 6 6 7 8 9 10 11 11 10 9 8 7 8 10 12 13 13 12 12 12 12 11 11 12 12 13 13 12 11 11 12 11 12 13 12 13 14 14 13 11 10 10 10 10 10 10 11 12 12 13 13 12 13 13 13 12 11 11 9 11 15 18 17 11 7 6 11 17 19 16 13 13 13 12 13 13 13 13 13 13 14 14 13 12 12 13 13 13 14 14 13 12 12 13 13 13 12 12 12 13 14 15 14 14 13 13 15 15 16 16 16 16 16 16 16 15 15 16 15 16 17 17 15 14 12 11 13 21 23 18 16 16 15 15 15 15 15 15 15 14 15 16 17 17 17 15 14 14 14 15 16 17 16 15 15 15 16 16 14 11 8 10 14 13 13 14 15 16 18 20 21 18 15 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 16 16 15 14 13 13 13 12 12 12 11 12 12 11 11 11 11 12 12 12 12 12 12 11 10 11 10 10 10 10 10 11 11 11 11 12 13 13 13 12 11 10 9 9 9 10 10 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 10 11 12 12 12 12 12 11 11 10 10 11 10 11 11 12 11 11 12 12 12 13 14 14 14 14 14 13 13 12 14 16 16 14 13 14 14 13 13 12 10 9 9 9 11 11 12 13 14 14 15 15 15 13 13 13 13 11 10 11 15 18 17 13 12 12 12 13 13 13 11 7 7 14 23 30 26 18 17 16 15 14 14 14 13 12 13 15 14 14 14 14 15 16 15 14 13 13 14 14 15 15 13 13 14 14 14 14 14 13 13 13 14 17 19 18 16 13 13 15 16 16 15 13 13 14 14 14 15 16 15 13 12 13 13 13 14 14 14 14 13 13 13 13 13 13 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 7 7 7 10 13 15 15 16 15 15 9 9 17 18 15 16 17 14 10 6 7 12 18 21 19 14 11 8 10 13 14 15 14 13 13 13 16 17 16 16 15 16 17 17 14 12 12 10 10 9 10 12 13 13 14 15 17 14 10 9 10 11 11 11 12 13 13 15 17 15 10 6 5 6 8 10 11 13 13 14 14 12 10 7 7 8 10 12 13 13 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 13 15 15 14 12 11 10 10 10 10 11 12 13 12 13 13 14 14 13 11 7 9 15 16 15 14 14 14 13 11 8 8 14 17 16 13 13 12 12 12 13 14 13 13 13 13 14 13 13 13 13 14 13 13 13 13 12 12 12 13 13 12 12 13 13 14 15 14 12 10 7 7 14 25 28 20 17 16 16 15 15 14 14 15 16 17 17 16 15 13 10 11 16 18 16 16 17 17 16 15 15 14 15 15 14 13 13 16 18 17 15 14 13 12 13 15 16 16 14 13 14 16 17 18 18 15 13 13 14 15 14 14 12 15 19 21 20 16 14 13 13 14 14 14 14 14 14 13 13 14 15 15 16 16 16 16 15 15 14 13 13 13 12 12 12 11 12 12 12 11 10 11 10 10 11 11 10 11 11 11 11 11 11 11 11 12 12 13 13 14 13 12 10 9 9 10 10 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 10 10 9 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 11 11 12 13 13 14 14 14 14 13 13 13 13 14 15 16 15 13 13 16 16 13 10 8 5 5 8 10 12 13 13 14 14 14 14 14 13 12 11 11 12 14 16 17 19 20 16 13 13 13 13 12 13 14 13 13 14 16 20 20 17 15 14 15 15 14 13 13 12 13 14 15 15 14 14 14 15 15 14 13 13 13 14 15 15 14 13 13 14 14 14 14 14 14 13 14 15 18 21 19 15 11 12 14 16 15 14 13 14 14 14 13 13 15 15 14 13 13 12 13 13 12 13 14 14 14 13 13 12 13 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 10 12 11 9 15 17 18 12 10 12 20 20 12 10 13 18 18 13 9 9 10 10 13 16 17 16 15 15 13 15 17 16 14 13 13 15 14 12 11 9 8 7 8 9 11 12 13 14 15 16 15 12 10 8 9 11 11 11 12 12 12 12 12 11 8 7 7 10 14 16 15 13 15 18 16 12 10 9 9 9 12 13 13 13 12 11 11 11 11 12 12 12 12 11 12 11 11 12 11 12 13 13 14 14 14 13 11 10 10 11 12 12 13 13 13 13 13 13 14 13 10 7 10 16 18 16 14 14 14 14 13 10 10 12 14 14 12 10 11 12 12 13 13 13 12 12 13 13 13 13 13 13 14 14 13 13 14 13 12 12 13 12 12 12 13 14 14 14 13 12 9 3 -1 3 18 32 33 30 23 16 15 15 14 13 14 15 15 16 16 15 15 14 12 12 13 14 15 16 16 16 16 15 15 15 14 14 14 13 13 14 16 16 14 13 11 11 13 15 17 15 15 13 13 13 18 22 18 15 15 15 15 14 12 7 4 8 13 17 18 18 17 16 15 15 15 15 15 14 15 14 14 15 15 16 16 16 15 15 15 14 13 13 13 12 12 11 11 12 11 12 11 11 10 10 10 11 11 11 11 11 12 12 12 11 11 12 12 13 14 14 13 12 11 10 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 10 10 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 11 11 11 11 11 12 13 13 14 14 13 14 14 13 13 13 13 14 14 15 15 15 15 14 12 9 6 5 6 8 11 13 14 14 14 14 14 14 13 13 12 11 10 11 13 15 20 20 16 14 13 13 13 13 13 13 14 14 14 14 13 13 14 14 15 15 16 15 14 14 14 13 12 13 14 14 14 14 14 14 15 15 14 12 13 13 15 15 15 14 14 13 13 13 14 14 13 13 13 14 16 19 20 17 13 11 13 14 14 13 13 14 13 13 13 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 14 14 13 13 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 15 6 6 16 16 14 9 11 11 11 7 6 6 11 12 12 12 13 13 13 14 13 11 11 11 11 11 11 13 13 13 10 8 7 5 6 7 9 9 10 10 11 13 13 12 10 9 9 10 10 10 11 12 12 12 12 11 8 7 7 10 12 14 14 15 15 16 16 14 12 10 10 10 11 12 13 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 13 14 14 13 13 12 11 11 12 13 13 13 13 12 13 12 13 14 14 12 12 13 15 16 14 13 14 14 14 14 13 12 12 12 12 11 11 11 12 13 13 13 13 13 11 11 13 14 14 14 14 13 13 13 13 13 13 13 12 12 13 12 13 13 13 13 13 13 12 10 7 2 -1 3 15 26 33 35 28 19 15 15 14 14 14 14 15 16 16 17 16 14 12 12 13 14 15 15 16 16 17 18 17 16 15 16 15 14 14 15 15 15 14 12 11 12 13 16 17 17 15 12 9 12 17 17 16 14 14 14 15 15 11 6 7 9 13 16 18 18 17 17 16 16 16 16 16 15 15 15 14 14 14 15 15 15 14 14 13 13 13 13 12 12 12 11 11 11 10 10 11 12 12 12 12 11 11 11 12 12 12 12 12 13 13 14 14 14 13 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 9 10 11 10 9 9 10 9 9 10 10 10 11 11 12 12 12 12 11 12 13 12 12 12 12 12 11 11 10 10 10 11 12 12 12 13 14 14 13 13 13 13 13 13 14 14 15 16 16 15 14 12 10 8 10 11 12 13 14 15 15 14 13 13 13 13 12 12 11 11 11 11 14 17 19 18 15 13 13 13 13 13 13 13 13 13 14 13 13 13 14 15 15 15 15 15 15 14 13 12 12 13 14 15 15 15 14 14 14 14 13 12 13 15 15 15 15 14 14 13 13 13 14 14 14 14 14 15 16 18 21 18 12 11 13 13 11 12 14 14 13 12 13 13 15 15 15 14 14 13 13 13 14 13 13 13 13 13 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 12 15 13 12 14 14 10 5 4 6 9 13 11 9 10 10 11 12 13 13 14 14 13 11 7 5 5 7 8 8 9 8 7 7 8 9 9 9 9 9 8 8 11 12 13 13 13 10 6 6 8 9 10 11 13 15 13 11 14 14 11 10 9 10 11 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 13 13 13 13 12 11 12 13 14 14 14 14 12 12 12 13 13 14 14 14 14 13 13 13 13 14 14 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 12 12 13 13 14 14 14 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 10 4 -0 -0 9 20 39 41 25 16 15 14 14 14 14 14 15 16 17 17 15 14 13 13 13 15 15 15 15 18 24 26 22 18 19 18 16 15 15 14 13 13 13 12 12 12 14 15 15 15 13 11 11 14 15 15 15 15 15 15 17 17 14 11 9 10 12 13 16 17 16 16 15 16 16 16 15 15 15 14 13 13 13 15 14 13 13 13 14 14 13 12 12 12 11 11 11 11 12 12 12 12 13 12 12 12 12 12 13 13 13 14 14 15 14 12 11 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 11 12 11 12 12 12 12 12 12 13 13 13 13 13 12 11 11 10 10 11 12 12 13 13 14 14 14 14 13 14 13 13 14 14 16 18 17 15 12 12 11 11 10 12 14 15 14 15 14 14 14 13 13 13 12 12 11 11 11 11 13 15 20 21 19 17 15 14 13 12 13 13 13 13 14 13 13 13 14 15 16 15 14 14 14 13 13 13 13 13 14 14 15 15 15 14 15 15 14 13 13 13 14 15 15 14 13 13 13 13 13 13 13 14 14 14 15 16 18 19 19 15 13 11 12 12 14 16 16 13 12 12 13 14 14 15 15 15 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 7 10 11 11 11 12 12 13 15 16 17 16 14 12 12 12 13 12 11 8 8 12 11 7 7 8 9 9 10 10 9 9 10 12 14 15 14 12 8 5 6 8 9 10 10 11 13 11 12 14 13 10 9 8 10 11 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 11 12 12 12 12 13 13 13 12 12 11 12 13 13 14 14 15 14 13 12 12 12 13 13 14 13 13 13 13 13 13 13 13 13 12 12 13 14 14 13 13 13 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 14 13 13 13 13 13 14 13 8 2 -3 3 30 46 34 24 17 15 14 14 13 14 15 15 17 17 16 16 16 15 14 16 15 12 9 9 20 31 29 23 23 20 18 16 15 14 12 12 13 13 13 13 13 13 13 14 13 14 13 13 13 14 14 14 13 13 14 14 13 12 11 10 10 10 11 14 15 15 15 15 15 16 16 16 16 15 15 14 14 14 15 14 14 13 13 13 13 12 12 12 12 12 12 12 12 13 13 14 13 14 14 15 15 15 16 16 16 15 15 14 12 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 10 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 11 10 10 11 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 16 17 15 12 10 10 11 11 11 12 13 14 15 14 14 14 13 13 12 12 12 11 11 10 11 11 14 19 24 24 22 17 14 14 13 12 12 13 13 13 13 13 12 13 14 15 15 15 14 14 13 12 13 13 14 14 14 14 14 15 15 14 14 15 14 14 14 14 14 14 15 14 13 13 13 13 12 13 14 14 14 13 13 15 17 19 20 17 14 12 13 13 14 16 16 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
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 8 9 10 12 13 14 14 13 13 14 16 18 18 18 23 32 38 41 43 44 43 41 38 33 30 28 24 23 22 22 22 21 21 22 24 26 24 21 15 12 11 11 10 9 8 7 6 5 5 5 5 4 4 3 4 4 4 4 4 5 5 5 4 5 6 6 6 7 7 7 7 7 7 7 4 0 0 0 0 0 0 1 1 2 2 2 1 1 1 1 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 8 4 0 0 0 0 0 2 9 19 27 30 29 25 19 15 13 12 13 14 19 22 15 6 1 2 2 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 15 1 11 20 24 22 22 22 20 20 20 20 19 20 20 20 17 16 19 21 22 16 6 1 0 0 0 2 8 17 23 34 42 44 40 25 15 19 35 51 60 52 41 37 50 69 82 83 61 39 30 18 8 3 1 6 10 12 20 26 21 7 11 35 48 43 39 37 30 33 44 60 62 55 40 17 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 38 58 65 68 81 88 90 85 79 74 83 102 118 129 132 122 107 115 123 114 103 111 129 139 144 146 140 128 114 113 112 108 116 123 126 125 118 113 115 112 100 96 106 122 123 124 155 183 171 153 145 135 130 121 nan nan nan nan nan nan nan nan nan nan nan nan 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 10 11 13 14 13 12 12 13 15 17 17 20 26 30 33 35 35 34 34 34 35 36 35 30 26 24 22 22 21 18 16 14 12 12 12 9 6 5 5 4 4 5 5 4 4 3 3 2 1 1 0 0 0 0 1 2 3 3 4 4 4 4 5 4 4 5 6 6 6 6 4 1 0 0 0 0 0 0 1 1 1 2 2 2 1 1 1 2 2 2 2 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 2 6 6 4 1 0 0 0 0 0 2 9 15 20 22 24 26 25 23 22 23 26 28 34 37 30 21 14 9 5 4 2 0 0 3 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 2 10 12 4 10 17 21 23 23 20 17 17 19 20 19 17 17 17 16 18 21 22 21 14 3 0 0 0 0 4 12 22 34 40 43 45 42 27 14 13 27 45 52 49 41 38 40 51 64 65 51 39 33 22 8 1 0 0 0 0 2 3 1 0 3 12 19 23 27 30 28 29 32 41 53 58 57 45 30 30 14 7 9 7 1 0 0 0 0 0 0 2 1 11 3 4 26 55 72 74 68 70 73 80 72 73 76 83 100 117 128 134 130 119 112 109 111 117 126 129 134 145 158 161 156 148 140 136 134 136 142 148 143 133 126 126 127 118 104 111 128 132 134 162 187 180 173 166 150 133 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 8 8 7 8 10 11 13 14 13 12 11 11 14 14 16 20 22 25 25 25 24 25 27 28 30 30 29 26 23 20 17 16 13 11 8 6 6 6 5 3 2 2 2 2 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 2 1 0 1 2 2 2 2 1 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 0 0 0 0 0 0 2 9 13 14 15 16 21 26 28 29 33 37 41 45 48 44 35 24 13 7 4 2 0 2 5 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 12 16 18 19 19 16 12 10 10 14 14 14 15 16 17 21 23 23 20 10 2 0 0 0 4 9 13 23 34 39 43 45 42 31 17 11 21 39 48 47 39 37 39 44 49 49 45 41 37 30 17 7 2 0 0 0 0 0 0 1 6 13 6 7 12 20 16 26 25 24 28 35 42 47 51 53 42 33 37 28 15 10 8 3 1 4 10 13 12 11 5 17 34 51 59 58 58 50 48 64 65 66 80 93 108 122 131 134 128 115 102 93 94 106 112 107 109 121 136 145 147 146 146 140 139 136 135 134 125 115 115 119 125 126 120 122 133 138 141 160 182 190 190 186 165 137 117 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 9 8 7 7 8 9 10 10 11 11 10 10 11 12 13 15 17 20 20 18 16 17 19 21 20 20 21 20 19 17 14 11 10 9 8 4 3 3 2 2 2 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 4 2 0 0 0 0 0 0 2 7 11 11 9 9 12 17 23 30 37 44 49 51 53 50 41 26 14 7 4 2 3 7 7 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 2 4 12 19 20 18 15 13 7 3 2 4 6 13 19 21 21 23 24 22 16 7 1 0 0 0 3 9 12 15 25 37 45 48 44 37 28 22 28 40 49 47 37 34 36 38 40 42 43 42 40 35 27 19 11 5 4 2 0 0 0 0 0 4 10 6 7 13 9 2 13 9 13 11 17 21 31 42 46 53 58 50 38 29 18 10 4 7 22 28 20 12 11 16 21 22 19 21 31 47 67 83 86 82 86 101 117 133 138 136 128 112 97 88 88 98 102 90 89 100 116 121 121 120 119 119 117 114 112 105 92 85 85 92 101 108 112 118 130 140 143 154 173 180 185 192 176 144 118 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 9 8 8 7 7 7 7 8 8 9 9 9 10 10 10 11 12 15 16 16 15 13 12 13 12 12 13 14 14 10 6 6 6 6 5 6 4 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 1 2 2 2 1 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 3 1 0 0 0 0 0 0 1 5 9 8 5 4 4 7 12 20 30 40 46 51 52 49 38 23 13 7 3 3 8 11 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 22 23 20 16 13 8 3 0 0 9 26 35 30 24 23 22 18 12 4 0 0 0 0 1 6 12 13 21 36 48 52 50 44 39 35 34 42 51 49 36 32 30 28 31 36 39 40 39 37 33 30 24 19 13 11 5 0 1 0 0 5 11 11 11 11 6 1 0 0 1 0 3 4 3 10 22 36 48 58 63 56 35 23 10 2 13 23 18 4 2 1 12 37 36 9 14 59 105 120 111 96 87 98 117 140 145 141 134 117 101 90 92 101 104 95 93 99 111 113 108 103 99 98 95 91 85 78 69 62 59 61 70 82 90 98 114 133 142 152 163 158 157 174 178 149 122 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 9 9 9 8 8 8 8 7 7 8 8 9 9 9 9 9 9 10 12 13 13 12 10 9 8 8 9 10 9 6 4 4 4 3 3 3 4 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 1 0 1 1 1 0 0 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 3 6 4 2 1 1 2 3 7 14 23 32 40 42 39 30 18 10 4 4 9 13 12 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 3 16 24 23 19 18 18 15 9 5 7 23 43 48 36 25 22 19 15 9 3 2 1 0 0 0 4 12 18 30 41 49 52 49 46 44 41 40 46 53 48 37 31 26 16 19 23 26 26 30 29 30 28 28 27 24 25 15 10 10 6 2 2 4 6 9 7 2 0 0 0 0 0 0 0 0 0 2 9 21 41 64 72 58 28 4 0 1 6 6 1 2 6 20 68 73 33 26 68 122 133 114 89 80 89 108 131 143 143 140 128 111 98 97 106 111 109 110 114 118 114 105 97 92 90 84 75 66 56 47 41 38 38 45 57 69 78 93 117 133 139 146 145 131 140 166 144 124 109 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
nan nan nan nan nan nan 9 9 9 10 10 10 10 10 10 9 8 7 7 7 8 9 9 9 9 8 9 10 11 12 11 10 9 8 9 9 8 6 4 4 5 4 4 4 4 3 2 2 1 1 1 1 1 1 1 2 2 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 1 3 7 14 21 25 25 20 12 7 5 8 13 13 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 5 17 24 20 16 20 26 25 17 13 24 45 54 43 28 22 20 17 13 8 4 4 2 0 0 0 2 11 23 36 44 48 48 45 43 42 42 45 51 56 49 40 32 27 15 14 16 16 14 11 12 13 15 18 20 24 26 19 14 12 11 9 4 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 3 14 41 71 70 36 0 0 0 0 0 2 14 29 45 88 93 62 53 94 138 139 117 90 81 86 98 115 128 135 141 137 122 106 100 105 114 121 128 131 128 117 104 96 93 88 76 63 53 47 40 33 30 27 29 40 52 63 76 98 112 118 124 128 117 123 140 137 126 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 10 8 9 10 10 10 11 12 12 12 10 9 8 7 7 8 8 9 9 9 8 9 10 12 12 12 11 10 10 10 10 9 8 7 7 7 5 4 4 4 3 2 1 1 0 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 8 12 14 13 11 9 10 12 11 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 6 16 22 18 15 20 30 33 27 26 38 51 47 33 24 22 19 16 13 8 7 7 4 0 0 0 1 8 24 38 44 47 47 43 38 38 40 47 57 59 52 43 35 28 17 13 13 12 10 3 3 2 5 7 10 14 16 14 13 13 13 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 28 44 34 2 0 0 0 0 0 3 10 63 90 102 86 70 94 128 141 128 107 94 91 96 104 112 120 129 132 126 114 105 106 115 127 138 141 134 118 104 99 95 86 68 52 43 43 44 43 42 38 32 34 42 52 65 83 95 102 108 112 105 110 132 138 132 128 128 nan nan nan nan nan nan nan nan 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 9 8 9 10 10 10 11 13 14 12 10 9 8 8 8 8 8 9 9 10 9 10 11 12 13 13 12 12 12 12 11 10 9 9 8 8 6 5 4 4 2 1 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 1 1 1 1 1 1 1 1 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 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 1 2 6 9 11 11 11 11 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 2 9 18 21 19 15 19 28 34 35 35 37 36 30 25 25 23 19 16 14 11 9 8 6 1 0 0 0 2 20 36 43 46 47 42 37 35 36 44 55 59 54 47 39 29 16 12 12 11 7 2 0 0 0 2 4 6 8 9 10 12 12 12 12 10 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 5 2 0 0 0 0 0 0 22 59 88 98 92 101 125 142 141 128 114 103 99 102 106 113 118 120 123 116 107 106 112 129 144 143 131 112 100 97 94 82 61 46 38 42 50 61 67 66 61 52 45 46 55 71 86 96 102 109 101 95 117 138 136 129 126 nan nan nan nan nan nan nan nan 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 10 8 8 10 11 10 10 12 14 13 12 10 8 8 9 8 8 8 9 10 10 11 12 12 13 14 14 13 12 12 11 10 9 8 8 8 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 8 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 2 10 19 23 20 17 19 24 29 33 33 30 24 20 18 19 19 16 13 11 9 8 8 7 2 0 0 0 0 12 29 38 42 45 41 35 30 28 32 41 48 50 49 43 33 19 13 12 10 4 1 0 0 0 0 0 1 2 2 4 8 10 11 11 10 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 13 8 2 0 0 0 0 0 6 28 65 96 98 95 113 138 150 147 137 120 106 108 110 112 118 117 121 116 109 106 108 126 142 137 121 101 90 90 88 76 58 45 42 51 65 78 84 86 87 83 70 56 54 63 78 91 100 111 105 86 98 129 137 127 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 7 8 8 8 10 10 9 9 10 12 14 13 11 8 8 9 9 8 8 8 8 9 9 10 11 12 14 14 14 13 12 11 10 8 8 7 7 7 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 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 1 1 0 0 0 0 0 0 0 0 4 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 20 24 24 20 22 24 25 26 26 22 16 10 4 6 5 6 8 8 7 6 6 4 1 0 0 0 0 6 16 25 33 37 35 28 22 19 18 21 28 37 42 42 35 23 16 13 8 3 0 0 0 0 0 0 0 0 0 0 1 4 7 8 8 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 14 13 6 1 0 0 0 0 0 8 39 79 94 86 94 123 148 156 150 136 115 109 111 110 113 115 117 115 112 108 108 120 133 129 114 95 85 84 82 71 57 49 53 68 84 89 88 90 98 106 101 83 70 66 72 81 94 113 104 80 95 136 136 126 119 nan nan nan nan nan nan nan 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 6 7 8 9 9 8 8 8 10 13 14 11 9 8 9 9 8 8 8 7 7 7 7 8 9 11 12 13 12 12 11 10 9 8 8 8 8 8 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 22 25 25 24 24 24 22 19 13 9 4 0 0 0 1 4 4 4 3 2 1 0 0 0 0 0 1 5 11 16 21 22 19 16 13 11 10 9 15 20 25 25 21 18 16 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 9 3 0 0 0 0 0 3 19 54 82 74 67 93 131 153 154 141 117 106 107 107 108 109 107 108 108 109 109 113 122 123 112 97 87 82 78 70 61 57 66 86 101 98 89 89 99 111 115 97 84 78 68 67 90 113 101 91 112 138 138 129 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 6 8 9 8 7 6 6 7 11 13 12 9 8 9 9 9 8 7 7 7 6 5 5 6 7 8 9 10 10 10 10 10 9 9 10 11 10 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 1 2 1 0 0 0 0 0 0 0 0 1 3 7 13 19 22 23 24 23 21 15 8 7 5 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 5 6 8 9 9 7 6 5 4 3 4 6 8 10 12 12 11 6 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 1 4 6 2 0 0 0 0 0 0 6 34 71 61 34 58 100 134 147 141 119 108 104 104 105 104 102 103 106 110 111 107 106 108 107 99 90 83 76 71 69 67 77 100 113 105 90 89 92 101 96 82 74 74 72 72 91 108 104 104 125 142 139 132 132 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 4 6 8 8 7 6 5 5 5 8 12 12 8 7 8 9 9 8 7 7 6 6 4 4 3 4 5 6 6 7 8 8 8 8 9 10 10 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 2 2 3 4 6 6 4 2 1 0 0 0 1 2 2 2 3 6 9 13 16 20 22 21 18 12 8 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 0 0 0 0 1 2 3 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 4 0 0 0 0 0 0 22 51 49 22 33 68 104 127 132 123 112 105 102 104 105 105 106 108 112 115 108 97 93 96 95 88 83 77 71 77 75 85 108 122 113 96 90 87 86 76 60 48 48 59 81 98 107 109 117 134 140 133 132 139 146 nan nan nan nan nan 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 3 6 10 9 7 5 5 6 5 6 10 13 9 6 5 7 7 6 5 6 6 5 4 2 1 2 3 4 4 4 4 5 5 5 5 5 5 6 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 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 2 3 4 6 6 6 6 7 9 9 8 6 4 4 4 4 4 4 3 3 3 4 5 6 8 12 17 20 19 18 11 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 1 0 0 0 0 0 0 0 0 0 3 16 17 0 0 0 0 0 0 9 31 38 28 27 50 81 106 116 116 110 103 100 102 105 106 107 109 114 118 116 106 94 91 88 82 81 78 76 83 84 91 109 126 126 110 92 83 77 62 44 32 31 52 81 99 107 114 129 142 139 128 128 138 143 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 0 0 0 2 6 11 11 6 5 6 6 6 5 7 11 11 7 4 5 5 4 3 4 5 5 3 1 0 1 2 3 4 4 4 4 3 3 3 3 3 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 11 10 8 7 7 7 8 9 9 8 6 6 6 5 5 4 3 2 2 3 4 5 6 8 10 13 16 16 11 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 10 16 16 7 2 1 0 0 0 0 0 0 0 2 26 38 8 0 0 0 0 0 1 8 21 29 33 46 71 97 110 112 109 100 97 99 99 99 101 105 112 116 119 120 114 103 89 81 80 79 80 88 92 94 104 126 139 128 103 83 70 58 44 31 27 47 79 97 108 124 135 145 138 127 127 129 128 nan nan nan nan nan 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 3 8 8 5 6 8 7 5 4 4 7 11 10 6 5 5 4 2 2 4 4 3 1 0 0 1 2 4 4 4 4 3 3 3 3 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 5 4 3 2 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 1 4 7 11 13 13 11 8 8 7 8 10 11 9 8 8 7 7 6 4 3 2 2 1 2 3 4 7 7 7 7 8 8 8 8 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 15 23 32 35 22 9 1 0 0 0 0 0 0 0 2 21 35 18 3 0 0 0 0 0 0 6 20 35 48 64 91 119 134 128 108 98 98 95 93 93 98 107 111 115 127 132 121 99 83 78 77 80 89 96 96 101 116 135 140 123 98 75 63 52 37 27 39 65 82 94 112 122 127 127 125 123 119 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 2 2 2 6 12 12 6 2 1 2 8 11 9 6 4 3 2 1 2 2 2 1 0 0 0 2 4 4 4 5 5 5 4 5 7 8 9 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 7 7 7 6 5 4 4 4 4 5 4 3 2 2 1 1 1 0 0 0 0 1 4 8 11 12 12 11 9 8 8 8 11 20 21 9 8 8 9 9 7 6 4 2 2 1 1 2 3 6 7 6 6 7 7 7 7 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 1 2 2 7 16 23 27 29 30 23 8 1 0 0 0 0 0 0 0 1 8 18 11 1 0 0 0 0 0 0 2 12 35 49 54 75 121 159 161 129 107 100 92 89 89 92 100 103 108 122 136 132 111 88 74 72 76 85 94 98 97 102 119 140 141 126 96 80 71 55 43 45 54 63 73 87 105 116 121 124 122 117 116 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 1 0 0 0 0 0 0 0 3 10 15 10 3 0 0 5 10 8 4 2 1 1 0 1 2 1 0 0 0 0 2 4 5 5 6 7 7 7 7 8 10 11 12 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 7 7 7 6 6 8 9 8 8 8 8 4 2 1 0 0 0 2 5 7 8 9 9 8 7 7 9 10 14 23 32 28 13 9 9 9 9 9 8 5 3 3 2 1 1 1 5 6 6 6 6 6 6 5 5 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 17 15 10 6 3 2 2 3 4 9 15 13 4 4 24 40 36 34 28 14 3 0 0 0 0 0 1 1 0 0 2 4 2 0 0 2 5 3 0 0 0 4 32 51 45 57 106 148 161 149 127 109 98 94 95 98 102 103 103 111 129 137 123 95 74 69 73 80 88 96 97 89 96 123 140 143 132 115 101 89 78 72 72 75 80 91 106 117 121 124 121 116 118 127 nan nan nan 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 4 1 0 0 0 0 0 0 0 3 8 9 5 2 0 3 7 5 2 0 0 0 0 0 2 2 1 0 0 0 1 3 4 4 6 8 9 9 8 9 10 12 13 13 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 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 6 7 9 10 8 6 5 4 3 2 1 0 1 2 6 8 8 7 7 6 4 5 7 10 11 16 27 31 23 13 10 9 8 8 8 8 6 5 4 3 2 1 0 2 4 5 4 4 4 3 3 2 2 3 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 1 3 11 23 29 27 23 19 16 12 14 14 17 26 30 24 10 8 29 49 45 32 16 4 0 0 0 0 0 0 2 3 1 0 0 0 0 0 2 8 21 18 0 0 0 1 31 49 42 48 91 130 141 147 143 129 116 113 117 118 117 115 109 106 120 137 132 108 82 70 70 74 81 90 90 81 82 97 120 138 146 144 132 124 118 116 120 120 116 117 118 118 115 114 110 111 124 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 9 10 9 6 3 1 0 0 0 0 0 1 3 4 3 4 7 8 3 0 0 0 0 0 0 2 4 3 1 0 0 0 1 1 0 2 5 8 9 8 8 9 11 13 13 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 5 3 1 1 1 2 3 2 1 0 3 7 10 10 9 7 6 4 3 5 8 10 10 12 15 14 11 9 8 8 8 8 7 7 7 6 5 5 4 2 1 1 2 3 3 3 2 1 2 2 2 2 3 5 6 7 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 22 27 31 36 38 35 30 39 38 28 34 38 30 12 16 34 46 36 18 5 1 0 0 0 0 0 0 3 5 2 0 0 0 0 4 17 38 59 41 3 0 0 6 40 52 45 45 84 125 132 138 145 144 140 139 139 140 134 127 119 112 117 130 135 123 98 77 68 69 75 82 84 78 74 78 95 118 135 145 146 144 144 145 147 146 144 135 127 123 112 105 103 110 126 136 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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nan nan 13 11 10 11 14 17 16 11 7 4 2 0 0 0 0 0 3 10 14 9 3 0 0 0 0 0 0 1 1 0 0 0 0 2 3 2 0 0 0 1 1 1 2 3 5 8 7 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 10 10 8 7 6 6 6 8 10 9 6 6 6 7 6 6 5 5 5 6 7 7 7 6 6 6 6 6 5 4 4 5 5 6 5 4 4 6 6 7 7 6 6 5 7 10 16 15 9 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 1 10 14 12 22 41 51 59 52 64 87 86 70 58 44 26 22 35 38 21 5 0 0 0 0 0 0 0 0 0 4 13 20 5 0 0 3 19 59 98 109 76 34 13 3 9 34 56 63 68 81 106 131 135 138 138 139 146 143 134 128 122 118 116 118 119 123 124 116 100 82 68 65 72 83 90 94 88 75 73 89 107 115 122 132 135 132 124 132 134 131 125 120 118 119 126 135 131 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 27 23 19 15 16 20 23 24 19 14 10 6 2 0 0 0 0 2 6 9 8 3 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 2 3 4 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 6 5 5 6 8 10 10 7 5 5 5 6 6 5 5 5 5 6 7 7 7 6 6 6 6 6 5 5 5 6 7 7 7 6 4 6 8 8 8 8 8 6 7 7 12 16 16 12 10 6 3 2 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 9 13 14 25 38 48 55 48 56 76 76 61 51 39 28 35 44 34 10 0 0 0 0 0 0 0 0 0 0 1 13 30 14 2 0 7 35 66 89 89 64 33 12 1 6 30 59 69 74 83 104 128 132 135 130 122 124 129 130 129 128 126 125 125 123 121 120 115 106 92 75 64 65 77 92 113 113 90 73 74 86 100 110 120 122 120 126 134 134 131 129 125 120 118 125 127 116 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 35 36 36 30 24 22 23 24 22 20 22 22 14 5 1 0 0 0 1 4 10 11 6 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 5 7 9 10 9 6 5 5 5 5 5 5 5 6 6 6 6 7 6 6 6 6 6 6 5 5 5 6 7 8 7 6 6 7 8 8 8 8 8 8 7 7 8 10 14 17 18 17 12 10 7 5 4 4 2 0 0 0 0 0 0 0 1 1 1 3 3 4 7 6 1 0 0 0 0 1 8 12 15 22 32 45 51 45 40 42 42 39 35 25 25 40 45 27 5 0 0 0 1 0 0 0 0 0 0 0 6 24 19 7 3 10 36 59 69 69 57 30 9 1 9 36 60 71 75 79 99 121 131 133 126 112 107 115 122 128 134 137 138 134 128 123 121 117 111 102 88 72 65 69 82 105 121 110 90 75 74 84 96 108 120 127 131 135 134 133 132 127 118 115 119 113 104 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 37 39 42 40 33 26 21 18 16 15 20 24 21 12 5 1 0 0 0 0 2 5 5 3 1 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 9 10 11 10 7 6 6 6 6 5 5 5 6 6 7 7 6 6 6 6 6 6 6 6 5 5 5 6 7 7 5 4 5 6 7 8 8 8 8 8 8 6 7 9 13 17 19 21 23 22 19 16 15 15 13 11 8 4 3 0 1 3 4 6 8 10 12 16 18 16 9 3 2 1 0 0 4 8 11 12 20 34 47 47 32 15 12 17 12 3 13 36 43 27 6 2 0 4 4 3 1 0 0 0 0 0 2 10 15 12 9 14 28 40 44 48 55 40 14 1 11 40 58 68 72 70 79 101 123 132 129 115 105 108 113 121 129 136 139 137 130 124 123 122 120 116 107 92 78 71 74 93 115 118 104 84 73 75 82 93 107 119 124 131 132 132 133 125 112 113 116 112 110 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 37 37 37 37 36 33 27 20 13 8 5 8 14 16 11 7 5 3 2 0 0 0 1 1 1 2 4 7 5 1 0 0 0 0 0 0 0 0 1 1 1 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 1 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 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 1 2 4 9 10 12 13 14 12 9 7 6 7 7 6 6 5 6 6 6 6 7 6 6 6 6 6 5 5 5 5 5 4 5 6 5 4 3 4 5 6 6 7 7 8 8 8 7 7 8 14 18 20 22 25 25 23 22 21 21 22 22 22 21 16 10 7 8 10 13 16 17 19 21 23 23 18 13 11 7 4 1 1 2 1 2 8 20 38 50 41 18 4 2 4 1 6 28 39 32 18 11 10 10 10 9 6 2 0 0 0 0 0 2 7 12 13 15 23 23 20 24 40 39 26 13 17 38 49 58 64 61 60 73 98 121 132 127 115 106 107 114 122 128 133 134 130 127 128 126 128 129 126 113 98 84 78 89 109 119 110 94 81 75 75 82 94 106 112 131 133 130 131 118 111 115 118 117 120 130 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 27 30 31 30 29 27 23 17 10 4 1 1 2 5 4 5 7 8 5 2 1 0 0 0 0 0 2 5 5 3 2 1 0 1 0 0 0 1 3 4 4 3 1 0 0 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 12 13 15 15 13 10 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 5 5 6 6 5 5 6 6 6 6 7 7 8 8 8 8 7 7 11 16 19 22 25 26 25 23 22 21 23 24 26 29 28 24 19 16 17 17 18 19 20 25 28 28 28 28 24 18 12 7 3 1 0 0 1 7 21 40 51 44 22 9 7 5 9 21 29 31 32 28 20 13 12 11 10 7 3 1 0 0 0 0 2 6 10 14 18 17 12 12 22 28 27 22 26 33 38 44 50 50 46 46 62 96 124 136 134 113 105 110 120 127 130 131 130 131 135 137 138 138 136 128 117 104 94 96 110 118 109 96 86 79 73 74 85 100 111 129 138 145 147 140 133 129 126 125 130 138 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 19 21 21 21 20 16 12 8 4 2 2 2 2 1 1 3 6 6 3 2 2 0 0 0 0 0 1 2 3 4 4 4 5 4 2 0 2 4 5 6 6 4 1 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 12 14 13 10 8 8 8 8 7 7 6 6 5 5 6 6 6 6 6 6 6 5 4 4 4 5 5 5 5 6 6 6 6 7 8 8 8 7 6 7 7 8 8 8 8 7 8 9 11 14 19 23 25 27 26 26 26 27 28 29 30 29 28 26 26 24 21 19 20 24 28 31 35 36 35 30 24 18 12 6 0 0 0 1 6 18 40 57 61 40 26 22 22 23 22 24 31 36 31 22 16 15 17 16 12 5 0 0 0 0 0 1 4 10 14 14 10 6 8 13 15 17 20 24 29 34 35 33 29 24 31 62 101 130 150 134 117 113 119 126 130 130 129 130 134 141 146 145 139 131 125 120 111 106 110 112 101 88 83 80 75 76 83 92 103 116 130 144 151 156 158 146 135 128 129 134 135 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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