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