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 3 3 3 4 4 4 4 5 6 6 5 4 5 5 6 6 6 5 4 4 4 4 5 5 6 8 10 12 13 14 13 11 10 9 9 8 7 7 6 4 3 3 3 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 3 4 3 3 3 4 4 4 4 4 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 6 6 6 6 6 6 6 8 8 7 7 6 6 5 6 6 6 5 4 5 6 7 7 7 6 5 4 4 4 3 1 1 3 3 4 6 7 6 6 6 5 -0 2 3 2 2 2 2 5 6 4 6 6 6 10 13 11 3 -2 -2 -0 0 1 1 1 1 3 7 7 3 -0 1 8 12 6 -1 -4 -3 0 0 1 6 9 5 2 1 1 1 3 4 2 1 2 3 4 4 2 -2 -3 -2 3 18 40 45 29 12 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 6 7 8 9 11 12 11 8 5 3 2 2 3 3 4 4 5 5 5 5 4 4 3 3 4 5 7 8 7 4 4 5 4 4 4 5 5 4 3 3 4 4 3 3 4 5 5 5 5 5 4 5 5 4 4 4 4 3 2 1 2 3 4 4 4 4 5 5 5 5 4 3 2 2 3 3 4 4 5 6 7 7 7 8 10 10 8 6 5 4 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 6 7 6 5 4 4 4 4 4 6 10 18 22 17 14 13 10 7 -1 -7 -9 -9 -8 -3 1 4 6 5 4 6 7 6 4 0 -5 -6 -5 -6 -5 -2 2 4 4 5 5 6 7 9 12 13 11 8 10 12 12 12 12 11 10 10 9 9 10 11 12 10 9 9 8 8 7 5 5 4 4 5 7 10 14 17 17 11 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 3 3 4 4 3 4 4 5 6 6 5 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 7 9 9 8 8 8 9 9 9 9 8 7 5 4 4 4 4 4 4 3 3 4 5 5 4 4 3 3 2 3 2 2 3 3 3 3 3 4 4 4 4 3 3 3 2 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 4 5 5 6 6 6 5 4 4 4 4 4 4 5 6 5 6 6 6 7 7 7 7 6 7 6 5 5 6 6 5 5 5 6 7 7 6 5 5 4 4 3 1 -0 1 6 6 3 4 6 6 8 9 4 1 1 2 1 0 2 -0 -1 -1 2 6 8 9 11 14 13 9 4 -0 0 2 3 1 -1 0 1 5 7 5 3 3 4 5 5 4 1 -3 -3 -2 1 6 7 5 2 0 -2 -1 2 4 3 2 2 2 3 4 5 4 4 7 16 32 41 34 17 6 4 4 3 3 4 4 3 4 4 3 3 3 3 4 4 5 6 8 8 9 10 11 11 8 6 4 3 3 3 4 4 4 4 5 5 6 5 4 4 4 3 4 6 7 6 4 4 5 4 4 4 5 6 5 4 4 4 4 4 4 5 4 4 5 6 6 5 4 1 2 3 3 3 2 2 2 2 3 4 4 4 4 5 5 4 4 3 3 3 3 3 3 4 5 5 6 6 7 7 8 9 9 8 7 5 4 3 3 3 4 4 4 4 4 4 4 3 4 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 6 6 5 5 4 4 5 6 10 15 17 16 15 15 15 15 12 13 6 3 2 4 5 8 9 8 8 8 6 5 4 2 -0 -1 -3 -4 -3 0 4 4 4 4 4 5 6 8 9 8 6 7 9 10 10 11 11 11 11 10 10 10 9 8 7 6 6 6 7 6 5 4 3 4 5 7 9 12 15 14 10 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 1 2 2 3 3 3 3 3 3 5 6 6 6 5 4 4 4 5 6 6 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 5 6 7 7 7 7 6 5 4 3 3 3 3 3 3 3 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 3 3 3 3 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 5 4 4 4 4 4 5 5 5 6 5 6 6 7 7 7 7 7 7 7 6 5 5 5 5 5 6 6 6 6 6 6 5 4 3 2 0 -0 3 8 7 3 1 3 5 6 8 3 4 3 1 -0 1 3 -1 -5 -5 1 3 5 4 3 4 8 8 6 2 2 3 3 1 0 2 3 5 9 9 7 5 3 1 1 3 6 4 2 0 1 4 8 7 4 -0 -3 -3 -1 4 6 2 1 1 3 6 10 13 14 19 31 40 35 20 8 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 6 7 8 8 10 11 11 9 7 6 5 4 4 4 4 3 4 5 5 5 5 5 4 3 2 3 4 6 5 3 4 5 4 4 4 6 7 6 4 5 5 5 5 4 4 4 4 5 7 7 6 4 -0 -2 1 2 1 -1 1 2 3 4 5 4 4 4 5 4 3 3 3 3 3 3 3 3 4 4 5 6 6 7 6 7 8 9 9 7 6 5 3 3 3 4 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 6 6 6 6 7 7 6 5 5 4 4 4 6 10 12 13 12 11 12 12 11 9 8 6 6 5 5 5 5 7 7 5 4 5 6 4 3 3 2 1 2 4 4 4 4 4 4 5 5 6 5 5 6 7 8 8 9 9 9 9 9 9 8 7 6 6 5 6 6 7 6 5 4 4 4 5 5 6 8 11 11 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 2 2 2 2 2 2 2 3 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 3 3 3 3 2 2 2 3 4 4 4 4 5 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 4 3 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 6 6 6 6 5 5 5 5 5 5 6 6 5 5 6 6 6 6 7 7 6 7 7 7 6 5 4 4 4 5 6 6 6 6 6 5 5 4 3 2 1 1 5 8 7 4 2 1 2 4 7 5 6 7 4 1 6 9 4 -4 -4 1 1 0 -1 -4 -4 -1 1 1 0 1 3 2 3 6 6 7 9 13 13 10 9 7 3 -2 0 8 12 10 8 5 5 11 11 6 -0 -4 -3 3 8 7 3 2 3 6 11 15 20 25 33 40 38 23 10 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 6 7 8 9 11 12 11 10 8 7 6 5 4 3 3 4 5 5 5 5 4 3 2 1 2 4 6 5 3 4 5 5 4 5 6 6 5 4 5 4 5 4 5 5 5 5 6 7 7 6 5 2 -4 -3 2 2 -1 0 3 3 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 7 7 8 9 9 8 6 4 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 6 6 6 5 5 5 3 3 3 5 6 8 8 6 6 6 5 5 5 5 7 8 5 3 3 4 6 6 6 5 4 3 3 5 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 7 6 6 6 7 7 7 6 4 4 4 4 4 4 5 7 8 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 2 2 2 2 2 2 1 2 3 5 5 5 6 6 6 5 5 4 4 5 6 7 6 6 5 4 4 3 3 3 3 2 2 2 2 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 5 5 5 6 6 5 5 5 5 6 6 7 7 7 6 6 6 6 6 7 7 7 7 6 6 7 7 6 4 3 3 4 6 6 7 6 5 5 5 5 3 1 1 3 5 6 6 5 4 3 5 8 8 5 5 8 8 5 6 9 7 0 -1 3 3 1 1 -0 -3 -4 -3 -3 -2 1 4 4 6 12 12 10 11 13 14 13 12 11 7 1 -1 6 12 12 11 11 9 12 14 10 4 0 1 6 8 7 6 7 8 10 15 21 27 33 40 37 25 12 6 4 4 5 4 4 4 4 4 4 3 3 3 4 4 4 5 5 4 5 6 7 8 10 12 13 13 12 11 9 8 6 4 3 3 4 5 5 5 5 3 2 1 2 3 5 7 7 6 5 5 5 5 6 5 5 4 5 4 4 4 4 5 6 6 7 7 6 6 5 4 3 -2 -5 -0 6 5 2 3 5 5 4 4 4 4 3 2 3 3 3 3 3 3 4 4 4 5 5 6 6 7 7 7 7 9 10 9 7 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 5 5 4 4 4 4 6 10 9 7 6 4 5 9 9 7 4 4 6 7 7 6 5 5 5 5 5 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 6 7 8 9 8 8 7 7 7 7 5 4 4 5 5 4 3 4 5 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 3 2 2 2 1 1 1 2 3 4 4 5 7 7 6 5 4 4 4 5 7 7 6 5 4 4 4 4 4 3 3 3 3 3 2 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 6 6 5 5 5 6 6 7 8 8 8 8 7 7 8 7 7 8 8 7 7 6 7 8 7 5 3 3 3 5 7 7 6 6 5 5 5 3 2 2 2 3 4 5 7 7 5 7 10 7 6 8 6 6 6 3 3 5 3 2 5 6 3 2 3 1 1 2 1 1 4 7 9 8 10 10 7 5 8 14 16 14 11 6 3 0 3 8 10 10 12 10 8 11 13 10 5 6 9 9 8 9 10 11 12 16 23 29 33 33 24 12 6 5 5 5 4 4 5 4 4 3 3 3 3 3 4 4 4 5 5 4 4 5 6 8 10 13 15 15 14 13 10 8 7 4 4 4 5 6 6 5 4 3 1 1 2 4 6 8 10 9 6 4 5 6 6 5 5 5 4 4 4 4 4 5 6 7 6 6 6 5 4 3 3 2 -2 -2 3 7 6 5 6 6 4 3 4 4 3 3 3 4 4 3 3 3 4 4 4 5 5 6 6 6 6 7 7 8 9 9 7 5 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 3 2 1 1 2 3 4 3 1 1 1 1 2 4 5 6 6 5 3 4 7 9 11 10 6 7 9 10 10 9 9 11 10 9 7 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 9 10 9 8 8 8 7 6 6 5 6 5 4 3 3 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 2 3 4 3 3 3 3 2 1 1 1 2 2 3 4 6 7 7 6 5 4 4 5 6 6 5 4 4 4 4 4 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 2 2 2 3 2 3 3 3 3 4 3 4 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 4 4 4 5 6 6 6 5 5 5 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 7 6 5 4 4 4 6 7 6 6 5 5 4 4 3 2 2 2 3 5 7 8 6 5 8 9 9 10 5 3 2 2 2 4 4 5 6 6 3 3 5 4 4 6 5 4 5 7 9 8 5 3 0 -1 4 13 17 13 9 4 2 1 5 8 7 5 11 10 2 5 10 12 11 10 10 10 11 11 10 9 10 15 21 24 26 21 13 6 5 5 5 5 5 4 4 4 4 3 3 4 3 3 4 4 5 5 4 4 4 5 7 8 10 13 16 16 15 13 10 8 6 5 4 5 6 6 6 4 2 2 2 3 4 5 6 8 10 10 7 5 6 7 6 6 6 5 5 5 5 5 5 6 5 6 6 6 5 5 4 4 4 4 4 1 -1 2 6 7 7 6 4 4 5 5 4 3 3 4 4 3 3 3 3 4 4 4 5 6 6 7 7 7 7 7 8 8 8 6 5 3 3 3 3 3 4 5 5 5 5 5 5 5 5 6 6 7 6 6 6 5 5 4 4 4 3 3 3 3 4 5 5 3 1 0 2 3 4 4 3 2 2 2 4 4 4 4 5 6 5 5 4 4 6 8 7 8 9 8 11 13 14 13 12 10 8 6 6 6 5 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 6 6 6 6 7 8 9 9 9 9 9 7 7 7 7 7 6 5 4 3 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 2 3 4 4 4 3 3 2 1 1 1 2 2 2 4 5 6 7 6 4 4 4 5 6 5 4 3 4 4 4 4 3 3 3 3 3 3 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 8 9 9 10 10 10 10 11 11 10 9 8 7 7 6 6 7 7 5 4 4 5 6 6 7 6 6 5 4 4 3 2 2 1 2 4 5 7 6 6 10 13 11 8 4 3 3 4 4 5 6 8 8 6 4 4 6 6 5 5 5 4 4 5 6 6 2 -1 -3 -0 6 11 14 13 8 4 0 3 8 9 4 1 8 12 5 2 6 8 11 10 9 12 12 10 8 7 10 14 16 19 19 14 7 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 4 5 5 6 7 9 13 15 16 14 11 10 8 6 6 5 5 6 5 4 3 2 3 4 5 6 6 6 7 9 11 9 6 6 7 7 7 7 6 6 6 6 6 7 7 6 5 5 5 4 5 6 7 7 7 8 5 2 1 5 8 7 5 4 5 6 6 5 4 3 3 4 4 3 4 4 4 4 4 5 6 6 7 7 6 7 7 7 7 8 7 6 4 4 3 2 2 2 2 3 4 5 5 5 5 5 6 6 6 7 6 6 5 5 4 4 4 3 2 2 3 6 8 8 6 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 7 7 5 3 1 2 5 7 6 6 8 12 15 14 13 12 10 7 6 6 6 5 4 3 2 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 8 9 8 8 8 8 7 7 8 9 8 6 6 6 5 5 4 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 nan nan nan 2 2 2 2 4 4 5 5 4 4 3 2 2 1 1 1 2 3 5 6 5 4 4 4 5 5 5 4 4 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 3 3 3 4 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 4 3 3 3 4 4 4 4 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 10 11 12 11 12 12 12 11 10 8 8 7 6 5 6 6 5 5 5 5 5 6 7 6 5 5 5 4 3 2 2 1 2 3 4 5 6 8 11 11 8 6 3 4 7 7 5 4 6 9 9 5 5 6 7 7 6 6 4 3 4 4 4 3 2 1 2 4 8 9 9 14 13 6 -0 3 9 7 2 1 4 9 10 4 5 6 7 10 10 13 12 9 7 9 12 13 14 16 15 9 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 6 9 12 15 14 12 10 9 8 7 6 5 6 5 4 3 3 3 4 5 6 6 6 6 8 9 12 13 11 9 7 7 7 7 7 7 6 6 7 7 7 8 7 5 4 4 6 8 9 8 8 8 7 5 4 6 8 7 4 3 5 8 8 7 6 4 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 6 6 6 7 7 7 7 6 6 5 4 2 2 1 1 1 2 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 4 7 11 10 7 5 5 5 4 3 3 2 3 4 4 4 4 4 5 5 5 6 7 9 7 3 1 3 5 5 5 7 10 12 13 14 14 13 9 7 6 6 5 4 3 1 1 3 4 5 5 4 5 5 5 5 5 5 6 7 6 7 7 8 9 8 7 6 6 7 9 9 9 9 7 6 7 7 5 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 3 2 2 2 2 3 4 5 5 5 4 4 3 2 2 1 1 1 2 3 4 5 5 5 5 5 5 4 4 3 3 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 3 3 4 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 9 11 13 14 14 14 13 12 12 10 9 8 7 6 5 6 6 5 5 6 6 5 6 6 6 6 5 4 4 3 3 2 2 2 2 3 5 7 9 8 3 3 5 4 2 3 4 2 2 5 8 7 5 6 6 8 9 9 8 6 5 5 5 4 3 4 7 7 7 8 6 6 12 16 10 2 3 7 7 4 6 6 5 7 3 4 6 7 10 13 14 11 8 6 7 10 11 13 14 11 7 6 5 5 5 5 4 4 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 6 8 12 14 13 11 9 8 8 7 6 5 5 4 3 2 3 4 5 5 5 5 6 6 7 10 12 15 17 15 13 11 9 8 8 8 7 7 7 6 7 9 9 7 6 5 7 9 8 6 6 7 6 5 5 8 9 7 3 2 5 7 7 6 7 6 6 5 5 4 4 4 4 4 3 4 5 5 6 6 5 4 3 4 5 7 7 7 7 7 7 6 5 3 2 1 0 -0 0 2 4 4 5 5 4 4 4 4 5 5 5 5 4 4 3 3 4 8 12 11 7 5 5 4 4 4 4 3 3 4 4 4 5 5 7 8 8 7 8 10 11 8 4 4 5 5 5 6 8 9 11 11 13 13 12 10 8 8 7 5 5 4 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 8 9 8 7 5 5 6 7 7 9 9 8 7 7 7 6 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 3 3 3 2 2 3 4 6 6 5 5 4 4 3 2 2 1 1 2 3 4 5 6 6 5 4 4 4 4 3 3 3 3 3 4 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 3 4 3 4 4 4 3 3 3 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 4 4 5 6 6 6 6 7 7 7 8 9 10 12 13 14 15 15 14 13 12 11 9 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 4 3 2 2 1 2 2 6 10 12 7 2 3 5 4 2 0 3 4 5 6 5 4 6 8 5 7 9 12 12 10 7 7 8 7 6 7 9 8 6 5 4 5 9 13 10 5 3 4 8 7 8 5 3 4 1 -1 1 7 13 15 12 8 5 4 6 7 9 12 12 8 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 7 11 13 13 10 8 7 7 7 6 5 4 3 3 3 4 5 5 5 4 4 5 6 7 9 10 13 16 17 17 16 14 13 11 10 10 10 9 7 7 8 9 8 7 6 6 7 6 6 6 7 7 5 5 8 9 7 3 2 3 4 4 4 5 6 6 6 5 4 4 4 4 4 3 4 4 4 5 5 5 3 1 0 1 3 5 7 7 7 8 8 7 7 6 4 3 1 -0 -1 -0 1 2 3 4 4 3 3 4 5 5 5 4 4 4 4 6 8 11 11 8 5 5 5 4 4 3 4 5 6 5 5 6 7 10 12 11 10 7 8 8 7 5 4 5 5 5 5 6 8 9 10 11 12 12 12 10 10 9 8 6 6 6 5 5 4 4 5 5 6 5 6 6 5 5 5 6 6 6 8 8 8 6 5 5 5 4 5 6 6 7 8 7 6 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 4 5 4 3 2 2 3 4 5 5 6 5 5 5 4 3 2 1 1 1 3 4 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 4 4 3 3 3 3 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 6 6 6 6 7 7 8 9 10 11 12 13 15 16 16 14 12 11 9 7 6 6 5 4 4 5 5 6 6 7 7 7 6 5 5 5 5 4 4 3 2 1 1 3 9 14 16 11 9 6 3 4 4 3 5 7 7 6 5 4 7 10 5 4 6 9 12 12 10 9 9 9 6 6 7 7 5 3 5 6 7 9 7 3 4 5 7 9 7 2 4 8 5 -3 -2 7 13 15 11 5 2 3 7 7 9 12 10 6 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 3 3 3 3 4 4 4 5 5 5 5 7 9 11 12 11 9 7 6 6 6 6 5 4 4 5 5 6 6 5 4 4 4 5 5 6 7 9 10 11 12 13 14 14 13 12 13 13 11 9 8 6 6 6 6 6 6 6 8 10 10 9 8 6 5 6 7 5 2 2 2 2 2 3 4 4 5 6 5 4 4 4 4 5 4 4 4 4 4 5 5 4 2 0 -3 -6 -3 3 6 7 7 7 8 8 8 8 7 6 4 1 -2 -2 -2 -1 1 3 4 3 3 4 4 4 3 3 3 4 6 8 9 9 7 5 5 5 4 4 3 4 7 8 7 8 9 9 8 9 10 8 5 4 4 3 4 4 5 5 5 5 5 7 8 9 9 10 11 12 12 11 10 9 8 7 5 6 6 5 5 6 6 5 6 6 6 5 5 5 6 6 6 7 7 7 7 6 5 5 5 4 4 5 6 6 6 6 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 5 5 6 6 5 4 3 2 2 2 3 4 5 6 6 6 5 4 3 3 2 1 2 3 5 6 6 5 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 3 3 3 3 4 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 9 10 12 14 16 18 18 17 14 11 10 8 7 6 5 4 4 4 5 6 7 7 7 7 6 5 5 6 6 5 4 3 2 2 2 4 11 16 13 10 11 6 0 2 4 6 6 7 8 4 4 6 8 10 7 3 3 5 9 13 11 9 8 7 5 4 5 5 4 3 6 7 7 8 5 0 3 7 7 7 3 3 6 9 7 -2 -2 7 14 14 10 4 1 4 7 7 10 11 8 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 5 5 5 5 5 6 8 9 11 11 9 7 6 6 6 6 5 5 5 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 7 8 8 9 9 9 10 9 9 8 7 6 5 6 7 8 10 12 12 11 11 9 5 4 3 2 1 1 1 1 2 3 4 4 4 4 4 4 3 3 3 4 5 5 5 4 4 4 6 7 6 4 -0 -5 -8 -4 4 7 7 7 7 8 8 8 9 9 9 7 4 -0 -3 -5 -4 -1 3 4 3 1 2 2 1 1 1 2 4 5 4 5 6 6 6 5 4 3 4 5 6 8 7 7 8 6 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 6 7 9 9 10 10 11 10 10 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 6 5 5 5 5 5 5 5 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 6 5 5 6 7 7 7 6 4 2 1 2 3 4 4 5 5 5 6 5 4 3 3 2 2 3 4 6 6 5 4 3 2 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 3 4 4 3 3 4 3 3 3 3 4 4 3 3 4 4 3 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 5 5 5 6 7 7 8 10 13 17 20 21 22 20 16 13 10 8 7 6 5 4 4 4 5 7 7 7 7 7 7 5 5 6 7 5 4 3 2 1 3 6 10 13 9 9 10 4 0 1 3 6 7 11 9 2 2 5 7 9 8 5 3 4 8 12 12 10 8 6 4 4 5 4 3 3 7 8 7 6 3 0 3 6 5 5 4 7 9 9 3 -1 2 8 15 15 9 4 3 5 6 8 10 9 6 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 6 7 8 10 10 9 7 6 6 6 6 6 5 6 6 6 5 5 5 4 4 3 3 3 3 3 3 2 2 3 2 3 3 3 4 4 4 5 6 7 8 8 7 5 5 8 9 10 9 8 9 10 10 7 4 2 1 1 1 1 1 2 3 3 4 4 4 3 2 2 2 -0 -0 3 5 5 4 4 5 6 8 10 9 8 5 1 -2 2 6 7 7 6 6 7 7 7 8 9 10 10 7 3 -2 -7 -8 -3 3 3 -0 -1 -1 0 1 2 2 3 4 3 3 4 6 8 7 5 4 5 8 9 9 7 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 5 5 6 7 9 9 9 9 9 9 9 9 10 10 9 7 7 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 7 6 4 4 5 5 4 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 4 4 5 5 6 7 8 7 5 4 3 3 3 3 4 4 5 5 6 6 5 4 3 3 2 3 4 5 6 5 5 4 3 3 2 2 2 2 2 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 3 3 3 3 3 2 2 3 3 4 3 3 4 4 3 3 3 3 3 3 3 4 4 4 3 4 3 3 3 4 4 3 3 4 4 4 4 4 3 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 4 4 5 4 5 5 5 5 5 5 7 7 7 10 14 19 23 24 24 22 18 13 10 9 8 6 5 4 3 4 5 6 6 7 7 7 7 6 5 6 7 6 4 3 2 1 4 6 7 8 9 12 9 5 3 3 3 4 5 13 12 2 -1 2 5 7 8 7 6 5 6 10 12 11 9 7 5 5 6 5 3 3 6 8 6 5 5 3 1 3 4 5 7 9 10 10 5 1 5 11 16 14 7 3 3 4 6 8 9 8 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 4 5 5 5 6 6 7 7 8 8 7 7 6 6 6 5 5 6 6 6 6 6 5 4 4 3 3 3 3 3 2 2 1 2 1 1 1 1 1 2 3 3 4 4 5 6 6 6 5 5 7 8 9 7 6 5 6 7 7 6 4 2 2 1 2 1 2 2 3 4 5 6 6 3 1 1 -1 -4 -4 1 4 5 5 5 6 8 10 13 14 11 8 8 5 5 6 6 5 5 5 5 5 5 5 7 9 11 10 6 -0 -8 -9 -6 -2 -1 -2 -1 2 4 5 6 5 4 4 4 4 5 8 9 8 6 7 11 14 11 7 4 2 3 3 3 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 7 8 9 9 9 8 9 10 9 10 9 8 7 7 6 7 7 7 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 9 11 13 12 8 3 3 5 5 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 2 3 3 3 4 4 4 5 6 8 8 8 6 5 3 3 3 4 4 4 5 6 6 6 5 4 3 3 3 4 5 5 6 6 6 5 5 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 7 7 8 10 16 21 25 26 26 23 18 13 10 10 8 7 5 4 3 3 5 6 5 5 6 8 8 7 6 6 6 6 5 3 1 2 4 6 5 6 10 12 5 4 5 6 10 8 5 13 15 5 -0 0 3 5 6 7 6 4 3 6 11 12 10 8 7 7 6 6 4 2 4 8 7 6 9 8 3 3 5 7 9 8 8 7 7 5 7 12 16 13 6 1 2 4 6 9 10 6 5 5 5 5 5 5 4 4 5 5 4 4 5 4 4 4 4 4 3 3 4 4 3 4 4 4 5 6 6 6 6 7 7 7 7 7 7 6 6 6 5 6 6 6 5 5 4 4 3 3 3 3 2 2 2 2 2 1 1 1 1 1 2 2 3 4 4 4 5 5 5 5 5 6 7 8 7 6 5 4 4 6 7 8 6 4 4 3 2 3 3 2 3 4 6 8 10 10 7 5 4 0 -4 -4 0 4 4 4 5 7 9 13 16 15 10 9 7 5 5 4 4 3 3 2 2 3 3 2 3 6 9 11 8 1 -7 -9 -5 1 2 3 4 6 6 6 5 3 3 4 4 4 5 8 9 4 1 7 11 10 6 3 2 3 3 4 4 3 3 4 3 3 4 3 3 3 4 4 4 5 5 5 5 5 7 9 9 9 8 8 8 8 8 8 8 7 6 5 6 6 7 7 6 6 6 6 7 7 6 6 6 6 6 7 6 5 7 11 14 13 8 5 3 4 5 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 1 2 3 3 3 4 4 4 5 7 8 8 7 5 4 4 3 3 2 3 4 5 5 5 5 5 3 3 3 3 4 5 6 7 7 7 6 5 4 3 3 3 3 3 3 4 4 3 3 3 4 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 7 7 9 13 17 22 25 26 25 22 16 12 10 10 8 6 5 4 3 3 5 5 4 4 6 7 8 8 7 6 5 5 4 3 1 3 5 5 4 6 10 7 0 1 6 8 12 10 7 13 15 9 4 3 3 3 3 2 1 2 3 7 11 12 10 8 7 6 5 5 4 2 4 8 7 6 11 12 7 5 6 9 10 7 5 4 5 6 7 11 15 12 5 2 2 4 7 9 9 6 5 5 5 5 5 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 6 7 7 7 7 7 6 7 6 6 5 6 6 5 5 4 4 3 4 3 3 3 2 2 2 1 1 1 2 2 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 4 4 5 6 6 6 6 5 5 4 4 4 4 3 4 4 5 7 10 13 12 11 11 8 4 -1 -3 -1 1 1 3 4 7 9 11 13 10 6 4 4 4 3 3 2 1 0 -1 -1 -1 -1 -3 -1 4 8 10 10 5 2 3 5 6 6 8 8 6 5 5 3 3 4 3 3 4 7 9 5 1 1 5 6 5 3 3 3 3 3 4 3 3 4 4 4 4 2 2 2 2 3 4 5 5 5 5 5 5 7 9 9 8 8 7 6 7 8 7 6 6 6 5 6 6 7 7 7 7 7 7 6 6 6 6 5 5 6 6 5 5 9 13 12 6 5 3 3 4 4 4 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 2 2 2 3 4 5 5 3 3 4 5 6 7 7 6 5 4 3 2 2 2 3 4 4 5 5 5 4 4 3 3 3 5 6 6 7 7 6 6 5 5 4 4 4 3 3 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 3 2 2 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 4 4 4 4 4 3 4 4 5 5 5 5 6 6 8 11 15 18 20 23 23 21 18 14 11 9 8 7 6 5 4 3 4 5 5 5 4 5 7 8 8 6 5 5 5 4 3 2 3 5 5 4 7 11 6 0 -1 4 6 4 3 6 12 13 8 6 4 3 3 1 -2 -1 2 7 11 12 12 10 7 5 5 4 5 3 3 4 6 6 4 4 8 7 4 5 9 10 7 2 2 4 6 6 9 13 10 5 3 3 5 7 9 7 6 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 3 3 2 3 2 2 1 1 2 2 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 7 9 9 10 9 6 2 -2 -4 -2 -3 -2 -1 3 6 7 7 7 5 5 5 4 3 3 1 -1 -2 -3 -3 -3 -3 -1 -0 2 5 9 12 11 9 7 6 7 7 9 9 7 6 6 4 4 4 3 2 2 7 10 9 6 2 3 4 5 4 4 4 3 3 3 3 3 3 3 3 3 2 1 1 1 1 2 4 5 5 5 5 4 5 7 8 9 8 7 5 5 6 6 6 6 5 5 6 6 7 7 7 8 8 7 6 6 7 6 5 5 6 7 7 6 7 9 8 7 5 3 3 3 4 4 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 3 2 2 3 3 4 4 5 4 3 2 3 4 5 6 7 7 7 6 4 3 2 2 3 4 4 5 5 5 4 4 3 3 3 3 4 5 6 6 7 7 6 5 5 4 4 4 4 4 5 5 4 4 4 3 3 3 2 2 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 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 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 5 6 6 7 9 13 16 16 17 19 19 17 14 12 9 8 7 6 5 5 4 4 4 5 6 6 5 6 8 8 8 5 4 5 5 5 3 2 3 5 5 6 10 10 7 0 -2 2 4 4 5 3 3 6 5 4 2 3 6 4 0 0 3 8 12 12 11 10 8 6 5 5 5 4 3 3 4 3 -1 -1 4 5 3 4 7 10 7 3 3 4 6 5 8 12 9 6 4 3 4 7 8 7 6 5 5 4 5 4 4 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 4 4 3 3 2 2 2 2 1 1 2 3 4 4 4 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 4 3 3 3 4 6 8 6 2 -1 -1 -0 -1 -3 -4 -2 2 4 4 4 5 5 5 5 4 3 1 -0 -1 -0 1 1 3 5 5 5 5 7 8 9 8 6 4 5 8 9 10 10 10 7 5 4 4 5 5 2 3 8 9 6 4 3 4 4 5 5 5 4 3 3 3 3 3 4 3 3 2 1 1 0 0 1 2 4 5 5 4 5 4 5 6 8 9 9 6 3 3 5 6 6 6 6 6 6 7 7 8 8 8 7 6 7 7 7 6 6 6 7 7 7 7 7 7 8 7 5 4 4 4 5 5 3 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 2 2 3 3 4 4 4 4 4 3 3 3 3 5 6 7 7 7 6 5 3 3 3 3 4 4 5 5 5 4 4 4 3 3 3 3 4 5 5 6 6 5 5 5 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 6 6 7 10 14 15 14 13 14 14 14 12 10 9 7 6 5 4 4 4 4 4 5 6 7 7 7 9 9 7 5 5 5 5 4 3 2 3 4 5 7 9 8 6 1 -1 2 4 12 19 6 -6 -4 1 2 2 7 11 9 6 2 -1 2 8 11 10 9 8 7 4 6 8 6 2 2 3 2 -0 1 4 4 3 3 5 8 7 5 5 5 4 6 11 11 8 6 4 3 3 7 8 6 6 5 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 3 4 4 5 5 4 3 4 4 4 4 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 6 6 5 3 2 2 4 9 10 6 3 2 3 3 2 -0 -3 -3 -1 1 2 3 4 5 6 6 4 5 6 5 5 5 6 6 6 6 5 4 5 4 6 7 7 5 5 8 10 11 11 10 9 6 5 5 7 7 3 1 4 8 8 6 4 3 4 5 6 7 6 4 4 3 2 3 3 3 2 2 2 2 2 1 1 1 3 4 5 5 4 4 5 5 7 8 9 9 4 2 4 6 6 6 6 6 6 7 7 8 9 8 8 7 7 8 8 7 6 6 6 7 9 8 7 7 8 8 7 5 5 6 6 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 4 3 3 3 2 2 3 4 4 5 4 4 4 4 3 3 4 5 6 7 8 7 6 4 3 3 3 4 4 5 4 5 5 5 4 4 4 4 3 3 4 4 4 5 5 5 4 5 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 5 5 5 4 4 5 5 4 5 5 5 5 4 4 4 4 4 4 6 7 6 7 10 14 14 11 10 10 11 11 10 9 8 7 5 4 3 3 3 4 4 6 7 9 8 8 9 9 7 5 4 4 4 3 2 2 4 5 7 7 7 5 5 4 3 3 4 14 23 11 -5 -7 -1 3 5 11 15 13 9 3 -2 -1 6 10 9 8 7 5 3 7 9 6 1 2 3 3 3 5 4 3 3 4 6 7 6 7 9 7 5 8 11 11 7 5 4 3 3 5 7 7 6 5 5 4 4 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 4 5 5 5 5 4 5 4 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 4 4 4 5 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 5 4 5 8 13 13 8 4 3 2 2 2 -1 -2 -2 -2 -0 0 1 2 4 6 6 7 8 7 6 6 6 5 5 6 5 3 3 3 4 6 7 6 5 8 11 12 10 9 8 6 6 6 6 6 4 2 3 6 9 9 7 5 4 5 6 7 7 6 4 3 2 2 2 2 2 2 2 3 3 3 3 2 2 3 5 6 4 3 4 5 6 6 7 9 7 4 4 5 5 6 6 6 6 7 7 7 8 9 8 8 7 8 8 7 6 6 6 7 9 8 7 7 8 9 9 7 6 7 7 6 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 4 3 3 2 2 1 2 3 4 4 4 5 5 4 4 4 4 4 4 6 8 8 8 6 4 3 3 3 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 3 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 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 7 7 7 10 13 11 7 7 8 9 9 9 8 7 6 5 4 3 3 3 4 4 6 8 10 10 8 8 8 7 5 3 3 3 3 3 4 6 7 7 7 6 5 6 8 7 4 4 8 13 13 4 -2 2 6 6 10 11 9 9 5 1 2 7 10 9 8 5 3 3 5 9 6 2 1 4 5 6 7 5 4 5 5 6 5 4 7 9 8 7 10 11 10 7 5 5 4 3 4 6 8 7 5 4 4 4 3 4 4 4 4 5 5 5 5 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 5 5 5 4 4 5 5 5 5 5 6 6 7 7 6 7 7 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 7 10 14 13 9 6 4 2 1 0 1 1 0 -0 -3 -5 -4 -1 0 2 3 4 6 5 6 6 5 5 6 7 5 3 4 4 5 5 5 3 5 9 8 7 6 6 5 6 7 6 6 4 3 3 4 7 9 10 8 6 5 5 7 7 6 4 3 2 1 0 1 2 2 3 3 3 4 4 3 3 3 4 6 6 3 3 4 5 5 7 8 7 5 4 6 6 6 7 7 7 7 6 7 8 9 9 8 7 7 7 7 7 7 6 6 7 8 7 6 7 8 9 8 8 7 6 7 7 8 8 8 nan nan nan 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 1 1 1 2 2 3 4 5 5 5 5 5 5 5 5 5 6 7 8 8 6 5 4 3 3 3 3 3 4 4 5 5 6 5 5 5 4 4 4 3 3 4 4 4 5 4 2 2 1 1 2 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 7 8 7 8 13 15 8 3 4 6 8 8 8 7 7 6 5 4 3 2 2 3 5 7 9 10 10 8 8 8 7 5 4 3 2 2 4 6 8 7 7 7 6 5 7 9 7 3 4 4 7 9 3 1 8 11 7 5 3 2 5 5 4 6 11 11 9 7 5 2 1 4 7 5 2 3 6 9 11 10 7 5 4 4 4 3 1 5 9 9 9 9 10 9 7 5 5 4 3 4 8 10 7 5 4 4 3 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 5 5 6 6 6 6 7 8 10 14 15 12 11 8 5 3 2 2 3 1 -1 -3 -3 -3 -1 -0 1 3 5 5 4 4 5 5 7 8 8 6 5 6 6 6 5 4 3 5 5 4 4 5 6 7 7 6 6 5 4 3 3 4 7 10 9 7 5 6 7 6 5 4 2 1 1 1 1 2 2 2 3 4 5 4 3 2 2 4 5 8 5 2 4 5 5 6 7 7 5 5 5 7 8 8 9 9 7 7 6 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 8 8 nan nan nan 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 3 2 2 1 1 1 2 3 3 4 4 5 5 5 5 5 4 4 5 7 8 7 5 4 4 3 3 3 2 2 3 4 4 4 5 5 6 6 5 5 4 3 3 3 3 4 3 3 2 2 1 1 1 1 2 2 2 3 2 3 3 3 4 3 3 4 4 4 3 3 4 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 5 7 8 8 8 10 22 23 8 -2 -0 3 6 7 7 7 7 6 5 3 2 2 2 3 5 7 9 10 9 9 8 8 7 5 4 2 1 3 6 8 8 6 6 9 9 8 6 7 4 -0 2 4 6 4 -1 1 11 13 7 3 1 -1 2 5 4 6 12 14 11 8 3 -0 -0 3 5 3 1 4 7 9 12 12 8 4 3 5 5 4 1 3 8 10 11 8 9 8 7 5 6 4 3 5 10 11 7 4 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 7 8 10 12 13 14 15 13 10 7 6 5 5 5 4 2 2 2 3 4 4 5 5 4 4 4 5 7 9 10 11 10 9 9 9 6 5 4 4 4 4 4 4 5 7 7 6 5 6 5 4 3 3 4 7 8 7 6 8 7 6 5 4 3 2 3 3 4 4 3 3 4 5 6 5 4 2 2 3 4 5 5 4 5 5 5 5 6 7 6 6 6 7 9 9 9 9 9 8 6 6 7 8 8 8 8 7 6 6 6 6 6 6 5 5 5 5 5 6 7 7 7 8 6 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 5 5 5 5 5 4 3 2 2 2 2 2 3 4 5 6 6 5 5 4 4 4 5 6 6 6 6 5 5 4 3 2 3 3 3 3 3 3 4 5 5 5 5 5 4 4 3 3 3 3 3 4 3 2 2 2 1 1 1 2 2 2 3 3 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 5 6 7 9 10 10 15 30 26 4 -3 -1 1 4 6 7 7 6 5 5 3 2 2 3 4 5 8 9 9 9 9 8 8 7 6 4 1 1 4 6 6 5 4 6 10 11 9 5 3 2 1 2 3 5 3 -1 1 7 7 5 4 3 0 2 6 6 5 11 16 14 9 4 -0 -1 3 6 2 -1 2 6 8 10 12 8 3 4 7 8 6 4 3 6 13 14 9 7 7 5 5 6 5 4 7 13 12 7 4 3 3 4 4 4 5 5 5 5 5 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 6 6 5 5 4 5 5 5 4 4 4 4 5 5 5 4 4 4 5 5 6 6 7 8 10 12 14 13 12 12 11 10 10 9 6 5 5 5 6 7 8 8 6 6 8 7 10 11 11 13 13 11 9 7 5 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 4 4 5 6 5 5 6 7 6 6 5 4 4 5 6 6 5 4 4 5 6 6 6 4 3 2 2 3 4 5 5 5 5 5 5 6 7 7 6 7 8 9 10 11 11 10 9 7 7 7 8 9 8 7 7 6 6 6 7 8 8 7 5 4 4 4 4 4 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 6 7 6 6 5 5 5 5 5 4 4 3 3 2 2 3 4 5 6 6 6 5 4 4 4 5 6 6 6 6 6 5 4 4 4 3 3 3 3 2 3 3 3 4 4 5 5 5 5 4 3 3 3 3 3 3 2 2 2 1 1 1 2 2 2 3 3 3 4 4 4 4 3 4 4 4 4 5 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 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 5 5 6 7 10 12 14 19 26 15 -3 -2 1 -0 3 5 6 6 5 5 4 3 3 3 3 4 6 8 9 9 9 8 8 8 7 5 2 1 3 6 6 5 5 6 7 8 7 6 5 3 3 5 3 3 6 4 1 3 3 3 4 8 7 2 2 6 8 7 10 14 15 11 7 3 1 3 4 2 -2 0 4 6 8 9 5 3 7 8 7 6 6 3 6 16 18 11 6 3 2 3 7 10 8 8 13 12 7 5 4 4 4 4 4 5 5 5 5 4 4 3 4 4 5 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 5 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 6 8 10 10 11 11 10 10 13 12 9 8 8 8 9 10 11 9 9 11 13 14 13 11 10 10 8 6 4 4 4 4 4 5 6 6 5 5 4 4 5 5 5 5 5 4 4 4 5 5 4 5 5 6 6 6 5 5 5 7 8 8 7 6 5 6 6 6 6 5 4 3 3 3 4 5 5 5 5 4 5 6 7 7 7 8 9 10 11 12 12 12 10 9 9 9 8 8 8 7 7 7 7 7 8 10 12 11 6 2 3 4 4 3 3 3 4 5 4 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 6 6 6 5 5 4 5 5 5 5 5 4 3 3 3 3 4 5 6 7 7 7 5 4 4 4 5 5 5 6 6 5 5 5 5 5 5 4 3 2 2 2 3 3 3 4 5 5 6 6 5 4 3 2 2 1 2 2 2 2 1 1 1 1 2 2 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 4 5 6 6 6 6 6 6 6 6 5 5 5 6 8 11 13 16 19 18 5 -6 -2 3 1 2 4 6 6 5 4 3 3 3 3 5 5 7 8 9 9 8 8 7 7 6 4 2 2 5 7 7 6 6 6 7 6 2 3 6 7 5 8 5 4 5 1 1 4 2 1 5 9 8 4 2 4 7 9 9 11 13 11 11 10 6 2 2 0 -0 4 4 3 5 5 2 2 7 8 5 2 5 4 6 18 19 11 5 -2 -2 2 9 16 12 9 11 10 7 5 4 4 4 4 4 4 4 5 4 4 3 4 4 4 5 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 5 5 4 4 4 4 4 3 2 2 3 4 4 5 5 6 6 8 10 12 11 11 10 9 8 7 8 7 6 7 10 10 10 8 7 7 7 6 5 5 5 4 4 4 5 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 6 5 5 5 4 5 7 9 9 8 6 6 6 4 4 4 4 4 4 4 4 5 5 6 5 4 4 5 7 8 8 8 9 10 11 13 14 13 12 12 11 10 8 7 7 6 6 8 8 7 8 12 15 12 5 2 3 5 5 4 3 4 4 4 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 5 4 4 3 3 4 5 5 5 5 5 4 4 4 4 5 6 7 8 7 6 5 5 5 5 5 5 5 5 4 4 5 5 6 7 6 5 4 3 3 3 3 3 3 3 4 4 6 7 7 5 4 2 1 1 2 2 2 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 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 5 5 5 5 4 4 4 5 4 4 4 5 5 5 5 5 5 4 4 5 6 6 7 6 6 6 6 6 5 6 6 7 9 12 14 19 21 15 -0 -8 -2 3 4 2 3 6 7 6 4 3 2 3 4 5 6 8 9 10 8 7 7 7 6 4 2 2 4 6 8 8 7 6 8 10 7 1 2 6 6 7 10 7 2 1 -0 2 3 2 2 4 6 7 7 5 4 5 9 10 9 10 9 9 10 9 5 -0 -1 3 7 6 3 2 2 2 1 6 9 5 3 5 5 8 17 18 10 4 -3 -5 -0 11 19 15 11 13 9 7 6 4 3 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 5 4 4 4 5 5 4 4 3 4 3 2 0 1 2 3 3 3 2 3 6 7 7 8 7 7 7 5 4 4 4 4 3 3 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 6 6 6 5 4 4 5 7 9 8 7 7 5 3 3 3 4 5 5 4 4 5 6 6 5 4 3 4 6 9 9 8 8 10 12 15 16 15 14 12 11 9 7 7 6 6 7 8 9 9 8 11 14 12 6 3 5 5 5 5 5 5 4 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 5 5 4 4 4 4 4 5 5 6 5 5 5 5 5 5 6 7 8 7 7 7 6 5 6 5 5 4 3 3 3 4 5 6 7 7 6 5 4 4 3 4 4 4 3 3 3 3 5 6 7 6 4 2 1 1 2 2 1 1 1 2 2 2 2 2 2 1 2 2 2 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 6 6 7 7 6 6 6 7 6 5 6 7 8 10 13 18 24 26 16 -0 -7 -1 3 4 1 2 4 6 6 4 3 3 3 3 6 7 8 10 9 8 6 5 5 4 3 2 3 5 6 6 6 8 8 6 4 2 1 2 4 3 6 11 10 1 1 4 6 4 3 2 2 3 5 8 7 4 7 11 12 9 8 7 5 4 7 6 -0 0 7 8 8 10 3 3 4 1 3 9 10 10 13 15 10 13 18 13 5 -2 -6 1 13 19 13 11 14 11 7 6 5 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 5 5 6 6 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 5 4 3 4 3 2 1 1 2 3 4 3 3 3 4 6 8 9 7 5 3 2 3 3 3 4 4 4 4 5 5 4 5 6 5 6 6 7 6 6 6 5 5 5 5 6 5 5 5 5 5 4 4 5 5 5 4 5 5 4 4 5 6 6 6 6 5 4 3 4 6 7 8 7 4 4 3 3 4 4 5 5 4 5 6 6 6 4 3 4 6 8 8 8 9 11 14 17 18 16 14 13 11 7 6 6 7 7 7 10 11 11 10 11 10 8 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 6 5 6 6 6 4 2 2 2 3 4 5 6 7 7 7 6 5 5 5 5 5 5 4 3 2 2 4 6 6 5 4 2 2 2 2 2 2 2 3 3 3 2 2 1 1 2 2 2 3 3 3 4 4 4 4 4 3 3 3 2 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 7 6 6 7 7 6 6 6 6 6 7 9 13 18 23 25 26 19 4 -3 2 4 2 -3 -2 3 6 7 5 4 3 3 3 5 8 9 10 9 7 5 3 3 2 2 3 4 5 6 5 2 5 9 7 -1 -3 1 2 3 3 4 8 11 3 1 5 7 4 3 3 3 5 7 7 7 7 10 13 13 10 7 5 3 -1 1 3 1 3 7 8 10 14 8 5 3 1 3 6 9 16 26 26 15 17 25 18 5 -3 -5 3 14 16 11 11 16 13 8 6 4 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 4 5 5 5 5 4 3 3 3 4 4 5 5 5 5 5 5 4 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 6 5 5 4 4 4 3 2 3 4 4 5 4 3 3 3 4 5 7 9 9 6 4 3 4 4 5 5 5 6 7 6 4 4 5 6 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 4 3 3 4 5 5 5 5 5 4 4 5 6 5 5 6 5 4 4 4 5 6 6 6 4 4 4 3 4 5 5 5 5 6 7 6 4 3 3 6 8 8 8 9 12 17 21 20 16 15 14 10 6 5 6 7 8 8 10 12 12 11 10 7 6 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 7 7 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 5 5 6 7 6 4 2 1 2 3 4 4 5 6 7 7 7 6 5 5 6 7 6 5 4 3 3 5 6 7 5 4 3 3 3 3 3 3 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 6 7 7 7 7 6 5 5 6 7 9 13 19 22 21 18 18 13 3 -1 5 6 -3 -9 -6 1 6 8 7 4 3 3 3 5 8 10 10 9 7 5 2 1 1 3 4 4 4 7 9 5 -0 2 8 6 0 1 3 4 5 5 5 6 5 4 3 2 2 2 3 6 10 11 8 8 10 12 13 13 10 6 3 1 -1 -3 -2 2 3 3 6 13 14 11 5 1 1 2 1 4 15 25 24 21 30 34 21 5 -3 -3 5 13 13 9 12 17 14 7 6 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 5 4 4 4 4 4 3 3 4 4 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 5 4 4 4 3 3 4 4 5 4 4 4 3 3 4 4 5 8 11 10 7 5 4 4 5 4 4 7 9 6 3 3 4 6 7 7 7 7 7 6 6 5 5 4 5 4 4 4 4 4 4 3 1 -0 2 5 5 5 5 5 5 4 5 5 5 6 6 6 5 5 4 5 5 6 7 6 4 3 5 5 4 5 6 6 6 6 4 3 4 6 8 9 9 10 14 20 24 22 17 15 14 9 6 5 7 8 8 9 10 12 12 10 8 7 6 5 4 3 3 3 3 3 3 3 3 4 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
nan 4 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 6 7 7 6 5 4 5 6 7 6 4 2 2 2 3 3 4 6 6 6 7 6 6 5 6 7 8 8 8 6 4 4 6 8 7 6 5 4 4 4 4 4 4 4 4 3 2 3 3 4 4 4 3 3 3 3 2 2 2 2 2 2 2 1 1 1 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 4 5 6 7 7 7 7 5 5 6 7 10 14 22 26 21 11 8 9 6 2 -0 4 3 -5 -10 -7 2 8 9 8 6 4 3 3 4 7 9 10 9 8 5 2 1 2 4 4 3 2 5 10 9 4 3 7 8 4 2 3 5 8 9 8 5 7 6 3 1 2 3 4 8 13 14 12 10 8 10 15 16 11 6 3 2 2 -0 -1 4 6 1 2 9 11 11 5 1 2 1 -3 -2 5 13 17 27 38 34 18 5 -1 -0 7 12 11 8 11 17 14 7 6 4 3 4 4 4 4 4 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 4 4 4 4 4 5 4 4 4 4 4 4 3 4 4 5 5 4 4 5 5 4 4 5 5 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 4 4 4 4 3 4 4 4 4 4 4 6 10 12 10 7 4 4 3 3 3 6 9 7 3 3 5 6 7 7 7 7 7 6 5 5 5 4 4 4 4 4 3 4 5 4 1 -4 -1 4 4 5 5 5 5 5 5 5 5 6 6 6 7 6 5 5 6 6 7 7 6 4 4 5 5 5 6 6 6 6 5 4 4 5 7 8 9 11 14 21 26 25 19 15 13 9 6 6 8 9 10 11 11 11 11 10 8 6 6 6 5 4 4 3 2 3 3 3 3 3 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 6 7 6 6 6 7 6 6 6 5 5 5 5 5 5 6 6 7 7 7 6 7 7 5 4 4 5 6 7 6 5 3 3 2 3 4 5 5 6 6 6 6 5 5 6 7 10 11 9 7 6 6 7 8 8 6 5 5 5 5 4 4 4 3 3 3 3 4 4 4 3 3 3 2 2 2 1 2 1 2 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 6 7 7 7 7 7 6 5 7 10 14 22 28 24 13 5 3 5 2 -2 1 3 3 -0 -2 1 5 9 11 11 8 5 3 3 4 7 8 10 9 7 4 1 1 3 5 5 5 4 3 4 5 6 7 5 3 3 3 3 5 10 15 16 12 10 8 5 3 4 5 6 9 12 14 13 6 -1 3 17 23 16 9 6 7 8 6 3 6 9 3 -2 2 5 8 7 2 -1 -1 -6 -8 -4 5 13 27 38 30 15 4 0 3 9 10 9 8 10 15 14 7 5 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 4 4 3 4 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 6 9 12 12 8 4 2 1 -0 0 5 10 9 4 4 6 7 7 7 7 7 7 7 6 5 5 4 3 4 4 3 3 4 6 7 4 -0 1 3 4 4 4 5 5 5 5 5 6 6 6 7 7 7 5 6 6 6 7 9 9 5 3 5 5 5 5 5 6 6 5 5 4 4 6 8 10 10 11 17 23 23 21 17 13 9 6 6 8 10 11 11 11 11 11 11 10 8 7 6 6 6 6 6 5 5 3 3 3 4 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 5 5 5 5 4 4 4 4 3 4 4 3 3 3 4 4 5 7 7 7 7 7 7 6 3 2 3 5 7 7 6 5 4 3 4 5 5 5 5 6 6 7 6 6 5 6 8 11 12 11 10 9 8 9 9 8 6 6 6 5 4 3 3 2 2 3 3 3 3 3 2 2 2 1 1 1 0 1 1 1 1 1 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 8 8 6 7 10 14 20 25 24 15 8 4 2 -2 -4 -5 3 7 8 7 9 10 9 11 12 13 11 7 4 4 4 6 8 9 8 6 2 1 1 3 5 5 9 10 5 5 7 5 1 -0 0 2 4 4 7 12 19 21 19 13 8 5 2 1 4 7 8 10 14 15 3 -10 -5 15 26 20 12 9 11 13 10 6 7 10 5 -1 -0 3 8 9 2 -5 -2 -1 -6 -2 4 12 27 34 25 13 5 2 5 7 8 8 8 11 15 13 7 5 4 3 4 4 4 4 5 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 4 4 5 5 5 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 3 4 4 5 5 5 5 5 5 4 4 4 4 3 2 3 4 4 5 5 4 4 5 8 9 9 7 3 1 -0 -1 -1 4 9 9 5 6 7 8 7 7 8 8 8 7 6 6 5 5 5 5 5 4 4 5 8 10 6 4 3 3 3 3 3 4 5 5 4 5 6 5 6 7 8 9 5 5 6 7 7 8 10 7 4 5 5 5 4 4 5 6 5 5 5 4 5 7 9 8 10 12 15 18 18 16 12 8 6 6 7 8 9 9 9 9 9 10 11 10 9 8 8 9 9 11 12 9 5 4 4 5 5 5 6 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 5 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 5 7 8 7 7 8 6 4 2 2 4 6 7 7 5 4 5 5 5 5 5 6 6 6 7 7 6 5 5 6 8 10 11 12 12 11 11 11 10 8 6 5 4 3 3 2 2 3 3 3 3 2 2 2 1 -0 -1 -0 0 1 0 1 1 1 1 2 1 1 2 2 2 2 1 1 1 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 8 9 8 8 10 13 17 20 19 14 7 5 5 1 -5 -6 -1 5 11 12 14 16 15 12 11 13 16 13 8 5 4 5 7 9 9 8 5 2 3 3 4 6 4 9 13 7 9 10 4 -1 -1 1 3 5 6 8 12 17 19 18 13 8 3 -2 -3 1 7 8 6 11 16 6 -9 -6 10 22 21 14 10 10 11 9 4 5 9 8 2 1 7 12 13 5 -5 -2 4 4 6 7 17 29 29 20 11 5 3 4 5 7 7 7 11 15 12 6 5 4 4 4 5 5 5 5 4 4 5 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 4 5 5 4 4 3 4 5 6 6 5 5 4 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 5 5 5 5 5 4 3 4 5 5 5 5 6 6 5 4 4 4 3 2 2 4 4 4 4 5 5 5 6 7 6 5 2 0 -1 -1 -0 3 7 7 5 6 7 8 8 8 8 8 9 8 7 6 6 6 6 6 6 6 7 8 8 10 9 6 4 3 3 3 3 4 4 5 5 5 5 5 5 5 7 10 8 4 6 7 7 7 8 8 6 6 5 4 4 4 4 5 5 5 5 4 4 5 6 7 8 8 9 10 11 11 10 7 5 6 6 7 7 7 6 6 7 8 9 9 9 9 10 13 14 16 16 12 8 6 6 7 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 4 3 2 1 2 2 1 2 1 1 2 1 2 2 2 1 1 0 1 3 5 7 7 7 7 8 6 3 1 3 5 7 7 6 5 5 5 5 5 5 6 6 6 7 8 7 6 5 4 5 6 7 9 11 12 13 13 13 10 7 4 3 3 3 3 3 4 3 3 2 2 1 1 -0 -2 -1 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 7 7 7 10 11 8 9 12 13 15 15 13 8 3 3 4 1 -2 2 6 8 11 13 16 18 18 14 11 15 18 15 9 6 5 6 7 8 9 7 5 3 2 3 4 6 4 7 9 7 8 7 2 0 1 3 4 6 6 8 12 12 11 10 8 6 1 -5 -5 1 9 10 4 5 13 12 1 -1 10 20 20 12 5 4 8 8 2 -0 5 8 3 3 8 12 14 8 0 -2 5 13 18 14 20 26 23 14 8 4 1 2 5 7 7 8 11 16 12 6 5 4 4 4 5 5 5 5 5 4 4 4 5 6 5 5 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 3 4 4 5 6 6 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 5 5 5 5 4 4 3 2 2 4 5 5 4 5 5 4 5 5 5 4 2 1 1 1 1 2 5 6 4 3 4 5 6 6 6 8 9 9 8 7 5 5 5 5 6 8 10 11 8 6 9 8 6 5 4 3 4 4 4 5 5 5 5 4 4 4 5 8 8 6 6 7 7 7 7 7 6 6 6 6 4 4 4 5 5 5 5 4 4 4 5 6 8 7 5 4 4 6 7 7 6 5 4 4 5 4 4 4 5 6 6 6 7 9 11 13 14 16 15 12 10 9 8 8 9 9 9 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 6 5 3 2 1 2 3 3 4 4 3 2 2 2 2 2 1 0 0 -0 1 3 5 6 6 7 8 7 4 2 2 5 7 8 6 5 5 5 5 5 4 5 6 6 7 7 8 7 5 4 4 4 3 4 6 8 11 14 14 12 9 6 4 4 4 4 4 5 5 4 2 2 1 -0 -1 -1 -0 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 5 5 5 6 6 7 7 11 13 9 9 10 10 12 12 12 9 5 2 1 2 4 7 8 8 10 12 15 18 18 15 14 18 21 17 10 7 6 6 6 7 7 7 5 4 2 2 5 6 4 4 5 8 8 8 7 7 4 4 5 7 5 8 11 6 2 -0 0 6 7 -0 -4 1 11 13 3 -0 8 15 11 9 15 18 12 4 2 4 8 8 4 3 5 7 6 6 6 7 10 10 5 -2 1 17 24 21 20 18 11 5 4 1 -0 4 7 8 8 9 11 14 10 5 5 5 4 4 5 5 6 5 5 5 4 5 5 6 5 5 4 4 5 5 5 5 5 5 4 3 3 4 3 3 4 4 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 3 4 4 5 7 7 6 6 5 4 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 4 3 3 3 3 5 5 4 4 4 4 5 5 5 4 3 2 2 1 1 2 5 5 4 2 2 2 3 3 5 6 6 7 7 5 4 4 4 4 6 8 9 9 6 2 2 7 9 7 6 6 5 5 5 6 6 5 4 5 4 3 3 5 6 6 6 7 7 7 6 6 5 6 7 6 5 4 4 5 5 5 5 5 4 3 3 4 6 8 5 2 2 3 4 4 4 2 2 1 3 4 4 4 4 5 5 5 5 7 10 10 9 9 10 11 11 10 9 10 9 8 10 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 4 3 3 5 6 7 7 6 5 4 5 4 2 1 1 0 0 0 2 3 4 4 5 7 7 6 4 4 6 8 8 7 5 6 6 6 4 3 4 5 6 6 7 8 8 6 5 5 4 3 2 2 4 6 9 12 13 13 10 8 6 5 5 4 5 6 5 3 2 0 -1 -1 0 1 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 6 6 7 9 12 14 11 9 9 9 11 13 14 14 11 2 -2 0 5 6 6 7 9 10 12 15 17 17 19 22 23 18 10 7 6 5 4 5 6 6 6 4 3 4 6 6 4 5 6 8 7 8 9 9 5 4 6 4 2 5 6 1 -2 -4 -4 6 13 9 -0 -0 8 11 5 2 7 15 19 18 18 11 -1 -3 6 12 10 6 7 14 12 7 10 9 5 5 8 8 6 -1 -6 10 24 23 16 6 -4 -2 2 -0 3 10 10 8 9 9 10 13 10 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 5 5 4 4 5 6 6 5 5 4 4 4 4 4 4 4 5 4 5 5 6 5 5 5 5 5 5 6 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 5 6 7 8 7 6 6 5 4 4 4 4 3 4 3 3 2 2 3 3 3 2 2 3 3 4 4 5 5 5 5 6 5 5 5 5 6 6 6 6 5 6 6 6 5 5 4 5 5 5 5 4 4 3 4 4 4 4 4 3 4 4 5 6 6 5 4 3 2 2 2 3 5 6 5 3 2 2 2 2 3 3 4 5 4 3 3 3 3 4 6 9 8 6 4 -0 -2 4 8 9 9 8 7 7 7 7 7 5 4 5 5 3 3 4 4 5 5 6 6 7 6 5 5 6 7 7 6 5 4 4 5 5 5 5 4 3 3 2 5 8 7 5 4 4 3 2 1 -0 -1 -1 1 3 4 4 4 4 5 4 4 5 6 6 5 4 7 10 10 9 9 9 9 8 9 10 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 5 5 6 7 8 10 10 9 9 9 9 8 6 3 1 1 0 1 1 2 3 3 3 4 5 6 7 8 10 9 8 7 6 6 7 7 5 3 3 3 4 5 7 7 7 6 5 5 5 4 3 3 3 2 4 7 11 13 14 12 9 7 5 5 5 5 4 2 0 -0 -0 0 2 2 2 4 4 5 5 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 6 7 9 11 13 12 10 9 9 10 11 13 14 13 8 0 -4 -0 3 4 5 6 7 8 10 13 16 18 22 25 23 16 10 7 5 4 4 5 6 6 5 4 3 4 7 7 6 7 7 6 5 4 5 3 4 8 11 2 -1 1 0 -1 1 1 -3 1 10 11 2 -1 2 8 11 9 8 13 17 18 13 1 -10 -4 13 18 9 3 12 23 16 8 10 9 8 10 9 7 7 4 -3 10 25 22 11 -3 -10 -2 4 4 9 14 12 9 10 9 9 14 12 6 5 6 5 5 4 5 5 5 5 5 5 5 6 5 4 4 4 5 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 8 7 7 6 5 5 4 4 4 4 3 4 4 3 3 2 1 1 2 2 2 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 6 6 7 7 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 5 6 6 7 6 5 3 2 2 2 3 5 7 7 6 4 3 3 2 3 3 3 3 4 3 3 3 3 4 6 10 10 6 3 -1 -2 2 6 8 9 10 10 10 10 8 7 6 5 5 5 4 4 5 4 4 3 4 5 6 6 5 5 6 6 7 7 6 4 4 5 5 5 5 5 4 3 3 3 5 8 8 7 7 7 5 3 1 -1 -1 1 2 3 4 4 3 3 3 2 2 2 3 2 3 6 9 9 7 7 7 7 7 8 10 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 7 7 8 9 10 10 10 11 12 13 11 8 4 2 1 1 2 2 2 2 2 2 3 6 9 10 10 7 6 6 5 6 7 8 7 5 3 3 4 4 5 6 7 6 4 5 5 5 5 5 4 3 2 3 6 9 13 15 13 10 7 6 5 4 3 1 -1 -1 0 1 2 2 2 3 4 5 5 5 4 3 4 4 4 4 3 3 3 4 4 3 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 9 12 11 10 9 9 9 10 10 10 11 11 8 1 -3 -3 0 3 4 5 6 7 9 10 12 15 19 21 21 19 14 10 6 3 4 5 6 6 5 4 4 3 4 5 6 6 7 5 2 0 -0 -1 -1 4 12 14 4 -0 -0 -1 2 8 7 1 1 5 5 3 0 0 6 14 13 10 10 8 7 4 -4 -10 1 19 18 5 1 9 16 13 7 5 6 10 13 9 5 10 17 10 17 28 20 6 -9 -10 5 11 11 15 15 12 9 9 8 9 13 13 7 5 6 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 6 4 4 5 5 4 4 4 5 5 5 5 5 5 4 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 5 6 7 7 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 4 4 4 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 5 4 4 5 5 5 4 4 4 4 4 3 3 3 4 5 6 7 7 6 6 4 3 3 3 4 5 8 10 10 6 4 4 3 3 3 3 3 3 4 4 4 5 5 7 10 12 7 1 -0 -0 2 4 6 8 11 13 13 13 11 8 6 6 6 5 5 6 5 4 4 3 3 4 5 5 5 5 5 6 7 7 7 5 5 5 5 5 5 5 4 4 3 3 3 5 8 8 10 11 10 9 7 4 2 2 3 3 4 4 4 3 2 1 1 1 1 1 2 4 5 6 6 6 6 6 6 5 7 9 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 5 6 6 6 7 8 8 8 9 11 14 15 13 9 6 3 1 2 2 3 3 2 1 2 5 8 8 6 4 4 3 4 5 7 8 8 6 5 4 4 5 5 6 6 5 4 4 5 5 6 6 6 5 4 3 3 6 9 14 16 13 10 7 5 4 3 1 -1 -0 1 2 2 2 1 2 3 4 6 7 5 4 3 4 4 4 4 4 4 5 4 4 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 6 6 8 12 11 8 8 9 10 10 9 8 10 8 3 -2 -4 -1 2 3 5 6 6 8 9 10 12 16 18 17 15 13 11 9 4 2 3 5 5 4 4 5 4 4 6 6 4 4 5 3 -1 -2 -1 -0 1 4 14 13 4 3 2 2 8 15 11 5 4 4 4 5 5 4 7 10 10 9 6 1 1 1 -1 -2 8 22 18 5 -5 -8 -3 3 3 0 3 10 13 8 1 9 24 16 17 26 19 3 -12 -6 16 20 17 17 15 11 9 8 8 9 12 13 8 5 6 5 5 5 4 5 5 5 5 5 5 5 5 4 4 5 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 5 6 6 6 6 6 5 5 5 5 6 6 9 13 12 6 4 4 4 3 3 3 3 3 3 4 5 5 5 7 10 13 8 -0 -0 3 3 2 3 6 9 12 15 16 13 9 7 6 5 5 5 5 4 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 3 2 3 5 6 8 11 13 15 15 13 9 7 6 5 4 4 4 4 2 1 0 0 1 1 1 1 3 3 5 5 5 5 5 4 4 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 6 6 5 5 6 7 7 7 9 11 14 15 14 10 7 4 2 2 3 3 2 2 3 4 6 5 3 3 2 2 2 3 4 6 7 7 6 6 5 6 6 6 6 4 4 5 5 6 7 8 8 7 6 5 4 4 6 10 14 14 12 8 7 6 5 4 3 2 3 3 4 3 2 2 2 3 4 6 6 5 5 5 4 5 5 5 5 5 5 5 5 4 3 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 6 5 10 11 9 9 10 11 10 8 8 9 7 2 -1 -2 0 2 4 5 5 6 7 9 11 12 15 15 13 11 10 9 6 3 1 1 3 4 2 3 5 3 6 10 11 7 5 4 3 2 1 2 3 2 2 6 4 2 5 6 4 11 17 10 5 4 3 5 9 8 7 5 1 2 6 1 -3 2 8 10 12 19 23 17 5 -8 -10 -2 4 2 -3 -0 8 10 5 2 8 15 11 16 25 18 2 -10 2 25 27 18 15 12 9 8 9 8 8 11 13 9 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 3 3 4 4 5 4 4 4 4 5 6 6 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 5 6 5 6 6 6 5 5 5 6 5 5 5 5 4 4 4 4 3 3 3 4 5 6 6 6 6 5 6 7 8 7 6 5 7 10 9 5 5 4 4 4 4 3 3 4 4 4 4 5 5 6 9 13 10 2 2 4 3 3 3 4 6 9 13 16 15 11 8 5 4 4 4 3 2 3 4 5 4 4 3 4 4 4 5 5 5 5 6 6 6 5 5 5 5 6 6 5 5 4 3 2 2 3 4 6 9 14 17 17 15 11 9 7 6 6 7 7 6 4 2 2 3 2 0 0 0 1 3 4 5 6 5 3 2 3 4 5 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 6 7 6 5 5 5 6 7 7 7 8 9 12 14 14 12 9 6 4 4 4 4 4 4 4 5 4 3 2 1 1 1 1 2 4 5 6 7 6 6 6 5 5 5 5 5 5 6 8 9 9 8 7 6 6 5 5 4 6 9 11 11 9 8 8 8 8 8 6 6 6 5 4 4 4 3 2 2 3 5 6 6 6 6 6 5 5 6 6 6 5 5 5 4 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 5 4 7 11 12 12 12 11 9 8 9 7 5 3 1 0 2 3 4 5 5 6 8 10 11 11 13 14 11 8 7 5 3 1 0 0 1 3 2 3 6 4 4 8 8 7 6 6 5 3 3 4 4 3 3 3 1 0 2 5 5 8 10 5 6 7 4 6 9 8 6 -0 -6 -3 2 1 4 15 19 19 20 21 15 10 3 -2 1 8 10 3 -5 -3 5 5 1 4 7 3 7 21 27 17 2 -5 9 26 24 16 12 9 7 8 8 7 8 12 15 10 5 6 6 5 5 6 5 6 6 5 5 5 5 4 5 5 6 6 6 6 5 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 3 4 5 5 4 4 3 4 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 6 6 5 4 4 5 8 11 8 3 3 5 4 2 2 4 4 5 5 5 5 5 5 5 4 4 4 5 5 7 11 10 6 5 5 4 3 3 4 5 7 9 13 14 12 10 6 5 4 4 3 2 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 3 2 2 2 2 3 5 8 12 14 13 11 10 9 8 8 9 10 10 9 8 7 6 5 3 1 -0 1 2 3 6 6 5 4 2 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 3 3 6 8 7 5 4 4 5 6 8 8 7 7 7 10 12 12 13 11 11 11 12 11 9 8 7 5 5 5 3 1 -0 -1 0 1 2 3 5 6 6 6 5 4 4 5 5 5 6 8 9 9 9 7 5 5 6 5 4 4 4 5 7 8 8 8 9 9 9 9 9 8 7 6 6 6 6 5 3 2 2 4 5 6 6 6 5 5 6 5 5 5 4 4 5 4 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 7 7 5 4 4 5 13 17 14 13 11 8 9 8 4 1 1 1 2 3 5 5 5 5 6 8 9 11 12 12 12 11 6 4 3 3 2 1 1 2 3 3 4 6 8 10 4 1 5 5 4 1 1 3 5 6 5 8 16 16 9 1 2 4 3 2 1 7 10 7 7 11 11 7 -1 -6 -1 5 8 14 22 18 12 13 12 4 3 -3 -6 4 18 18 3 -4 1 2 -2 -2 4 6 3 11 26 30 17 1 -1 13 22 20 15 10 7 7 8 7 6 8 13 13 7 5 6 6 5 5 6 6 6 6 5 5 5 4 5 5 5 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 5 5 5 4 4 4 4 5 5 4 3 3 4 5 5 4 4 4 4 4 3 3 3 3 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 3 5 9 12 8 4 4 4 2 -1 0 4 5 5 6 6 6 6 6 6 5 4 4 4 5 5 8 8 7 7 6 4 2 2 4 5 5 6 8 11 13 10 7 6 5 5 4 6 7 7 7 5 5 5 4 5 4 5 5 5 5 5 4 4 4 5 5 5 5 6 5 5 5 4 3 3 3 2 3 4 5 7 9 10 9 8 8 8 7 8 10 11 12 13 13 11 8 5 2 1 1 1 2 4 6 6 5 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 5 5 8 10 7 4 2 2 3 5 8 8 8 7 5 6 7 9 11 15 18 21 20 19 15 12 11 9 8 6 5 2 0 -1 -1 -0 1 1 3 4 5 5 5 4 3 3 4 4 5 6 8 8 7 5 4 4 4 3 3 3 3 3 4 5 6 7 6 7 7 7 8 8 8 8 8 7 7 7 5 4 3 4 5 5 5 5 4 4 4 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 3 3 3 3 4 3 3 3 4 7 7 6 5 3 4 7 17 20 15 14 11 9 9 7 1 -1 -0 1 3 4 5 5 5 5 6 8 9 11 12 11 10 10 6 3 4 5 4 3 2 3 4 5 6 6 9 9 2 -0 5 3 -0 -2 -0 3 5 7 6 8 16 23 18 8 4 3 2 -0 3 8 8 6 7 13 16 10 2 0 3 6 9 11 8 2 -2 2 5 -0 1 -2 -9 5 26 21 3 -1 1 -4 -7 1 7 7 8 16 28 29 16 0 3 16 20 16 12 8 6 7 7 6 5 8 11 8 6 7 8 6 6 6 7 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 7 6 6 6 6 7 7 6 5 4 3 3 5 10 11 7 4 4 4 3 1 1 4 5 5 6 6 7 7 8 7 6 6 5 5 5 5 6 6 7 8 6 4 3 3 4 5 5 4 5 8 10 10 9 8 6 6 8 10 11 11 9 8 7 6 4 4 5 5 4 5 5 5 4 4 3 4 5 5 5 6 6 6 6 5 5 4 4 3 3 3 4 4 5 6 8 8 7 6 5 5 7 10 13 15 16 15 12 7 4 2 1 1 2 3 6 6 6 5 5 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 15 12 12 14 12 7 3 1 0 1 4 7 9 8 7 6 5 5 5 7 13 20 22 19 16 12 11 12 12 11 9 8 5 2 0 -0 -1 -0 1 2 3 3 4 4 5 4 3 2 2 3 4 4 4 4 4 3 3 3 3 3 2 2 2 3 4 5 5 4 4 4 4 5 6 7 8 8 8 7 7 7 6 5 4 4 5 5 4 4 3 3 2 1 2 3 3 3 2 2 3 3 4 4 4 3 3 3 3 3 4 4 4 3 3 4 6 7 7 5 4 3 5 10 20 21 16 14 13 11 8 5 1 0 1 2 4 5 5 4 5 6 7 8 9 11 14 12 10 10 9 7 7 7 6 5 4 4 4 5 6 8 6 -2 1 6 6 1 -3 -1 3 5 6 7 7 3 4 11 13 10 5 2 2 2 5 5 4 4 5 7 9 9 6 2 1 2 3 4 1 -3 -5 1 6 4 5 6 -1 7 19 12 3 -2 -4 -4 -0 5 7 7 11 20 27 24 12 2 7 17 18 14 10 7 6 7 7 5 6 8 9 8 7 7 9 8 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 4 4 4 3 4 4 4 3 3 2 3 4 5 6 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 6 5 5 5 6 6 5 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 7 7 7 8 9 8 6 4 3 2 3 7 10 9 6 4 4 4 3 0 -2 2 5 6 6 6 6 7 8 8 7 6 6 6 6 6 5 6 7 8 7 5 4 3 3 5 5 4 3 5 7 9 10 9 8 8 10 12 14 13 10 9 8 7 5 4 4 4 4 4 5 5 5 4 3 3 4 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 6 6 5 4 4 5 8 12 15 17 17 14 10 7 5 3 2 3 4 5 6 6 5 5 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 13 15 17 14 8 3 1 -1 0 3 5 7 7 7 8 7 5 4 4 9 13 13 9 4 2 3 6 10 11 11 10 8 5 3 1 1 1 1 2 3 3 4 5 6 6 4 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 4 3 3 3 4 5 6 7 8 8 8 7 5 4 4 4 5 4 5 5 4 3 2 2 2 2 3 2 1 1 2 3 4 4 3 4 3 3 3 3 4 4 4 4 3 5 7 8 6 3 2 4 7 13 21 20 15 13 13 11 6 0 1 2 2 3 3 4 4 5 6 7 7 8 9 12 15 14 11 11 12 10 9 8 8 6 5 4 3 4 7 9 6 -1 4 9 4 -0 -1 2 6 7 9 12 11 8 6 5 6 5 2 1 1 1 1 1 1 3 1 -2 1 7 6 0 -1 2 5 9 12 9 5 10 14 11 8 4 -4 1 9 6 5 -0 -5 1 7 8 7 8 13 20 22 17 8 4 11 17 15 11 9 7 7 7 5 3 5 8 8 8 8 8 9 9 6 7 7 7 7 7 6 5 5 6 5 4 4 5 5 4 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 3 4 3 3 3 4 3 2 2 4 4 4 3 2 3 5 7 8 6 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 8 9 10 10 9 9 9 9 10 10 9 6 3 2 2 3 7 8 6 4 4 4 4 4 2 -2 -3 2 5 5 6 6 7 7 7 7 7 7 6 6 5 5 6 7 7 7 6 6 4 3 4 6 5 4 3 5 7 9 9 9 9 10 11 12 12 10 8 8 7 7 7 5 4 4 5 5 5 4 4 4 4 4 5 4 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 3 4 6 9 12 15 17 16 14 11 9 7 5 4 5 6 6 5 4 5 7 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 8 12 14 15 11 6 2 0 1 2 3 4 4 6 8 8 8 6 5 6 7 7 4 -0 -3 -2 1 5 8 10 10 9 7 5 4 4 4 3 3 3 3 4 6 8 8 6 3 2 2 2 2 2 2 3 3 4 4 3 3 2 3 3 4 5 5 6 6 5 4 4 4 4 4 5 6 8 9 9 7 5 3 3 4 5 5 6 6 5 5 4 3 3 3 3 3 2 1 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 6 8 7 4 3 3 6 10 17 23 20 13 10 10 9 2 -2 -1 -0 2 3 3 4 5 5 6 7 8 9 10 13 15 14 13 13 12 11 10 10 8 5 4 3 2 2 4 7 6 -0 0 3 2 1 2 5 7 8 14 21 19 16 14 7 3 1 -0 1 2 1 -1 -0 1 -0 -2 -1 1 5 3 2 5 9 15 20 23 19 15 17 17 10 4 -0 -4 -2 5 6 6 5 1 2 7 8 9 11 12 14 14 11 6 6 12 15 13 11 8 8 8 7 3 3 6 8 7 7 8 9 10 9 7 7 7 8 8 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 3 3 3 3 4 4 3 3 3 5 5 4 3 2 2 4 7 8 8 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 9 10 10 11 11 11 10 10 11 11 11 8 5 3 1 0 1 4 5 5 4 4 4 5 4 4 1 -1 2 4 5 5 6 6 7 7 7 7 7 6 6 5 5 6 7 6 7 7 7 6 3 3 5 5 5 4 5 5 6 7 8 9 10 9 9 8 7 7 9 10 11 10 9 6 5 5 5 4 4 4 4 5 4 4 4 4 5 5 5 6 6 6 5 6 5 5 4 5 5 4 4 3 4 4 4 3 3 5 6 9 11 13 16 16 14 12 10 8 6 5 6 7 6 4 5 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 7 10 13 14 9 5 2 1 1 1 1 1 3 5 8 9 9 7 7 7 6 4 1 -1 -1 1 4 6 7 8 8 7 7 7 7 7 5 4 4 4 5 6 9 9 7 4 2 2 3 4 3 3 3 4 5 5 4 3 2 2 3 4 4 5 6 6 6 5 6 6 5 5 5 6 7 8 9 9 6 4 3 4 5 6 6 6 6 6 6 4 4 4 3 3 3 2 1 2 3 3 3 3 3 3 3 2 3 4 4 5 6 7 8 6 3 3 5 10 15 22 25 18 9 6 6 4 -2 -3 -2 -1 2 3 4 4 5 6 6 8 9 11 12 13 14 13 13 12 11 10 11 11 8 3 2 3 1 -0 3 7 7 2 -1 1 3 3 4 6 8 9 14 19 16 14 10 4 0 -1 -1 1 2 2 -0 -0 -0 -1 2 5 7 7 6 9 15 20 22 24 25 23 17 14 12 7 3 3 3 0 2 5 6 6 3 2 5 8 10 10 7 5 9 10 6 8 13 14 13 11 8 8 8 6 3 3 7 8 5 6 7 9 11 10 7 6 7 8 9 8 6 6 5 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 3 2 3 4 4 4 4 3 4 6 9 9 7 4 3 4 5 6 6 5 5 5 6 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5 6 6 6 5 6 6 7 7 7 7 7 7 6 6 7 8 10 11 12 12 12 11 12 12 13 12 11 8 6 4 0 -1 1 3 5 5 5 5 5 5 4 4 3 -0 2 4 5 5 6 7 7 7 7 7 7 7 6 4 4 5 6 6 6 7 8 8 4 2 4 5 5 5 5 5 6 5 5 7 9 7 6 5 5 6 8 11 13 14 12 9 6 6 6 6 4 4 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 5 4 4 5 5 4 3 3 3 3 3 4 4 5 6 8 9 12 16 17 15 14 12 8 6 7 7 6 5 5 6 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 5 6 10 13 12 8 4 3 1 -0 -1 -1 -1 2 7 10 10 8 8 7 6 5 3 2 2 3 4 5 6 5 5 5 6 7 8 9 8 6 6 7 7 8 9 8 7 5 4 4 5 6 6 6 6 6 6 6 5 3 1 1 3 4 4 4 4 4 4 4 5 6 6 6 6 6 6 7 8 8 7 5 4 4 5 7 8 6 5 5 6 6 5 4 4 4 4 3 2 1 2 3 4 3 3 3 3 2 2 4 5 5 7 8 7 4 2 4 10 18 25 31 26 13 5 3 2 -1 -6 -5 -2 -0 1 3 4 5 5 6 7 8 10 12 13 13 13 13 13 12 10 9 9 10 9 5 3 5 2 0 6 12 10 5 4 5 4 4 4 6 7 8 8 6 7 7 3 0 -1 -1 -0 0 1 1 1 2 1 2 7 11 11 11 10 15 21 23 23 23 23 20 15 10 7 7 8 9 7 2 1 5 5 4 3 4 7 10 10 8 3 3 12 15 8 9 14 15 13 11 8 7 7 5 4 5 7 7 5 5 6 10 13 11 7 5 7 8 10 9 7 6 5 4 4 4 4 4 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 4 5 4 3 3 5 8 13 15 13 9 7 6 6 4 3 3 3 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 6 6 6 5 5 5 6 5 5 5 5 6 6 6 7 7 7 7 7 7 6 7 8 10 11 12 12 12 12 12 13 14 13 13 11 9 7 5 2 1 3 5 6 5 5 5 5 4 4 4 4 -1 -2 4 5 6 6 7 7 7 7 7 7 7 6 5 4 4 5 6 6 6 7 8 6 4 5 5 5 5 6 6 6 5 5 6 7 6 5 4 4 5 6 8 13 16 16 12 7 7 8 8 6 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 3 3 3 4 4 5 6 6 7 9 13 16 17 16 14 11 9 8 8 8 7 6 5 6 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 4 4 4 6 8 10 10 7 4 2 0 -1 -1 -2 0 7 13 12 10 9 8 7 5 5 4 4 4 4 4 4 4 4 4 4 5 7 9 8 8 8 9 9 8 7 7 8 8 7 7 8 8 8 8 8 8 8 8 7 5 3 2 3 4 4 4 3 2 2 2 2 4 5 6 6 5 5 6 6 6 6 5 5 6 8 10 10 8 6 6 7 9 8 6 6 6 5 4 3 3 3 3 4 3 3 3 2 2 3 4 5 6 8 8 6 3 3 10 20 28 34 32 20 7 4 2 -0 -5 -8 -5 -2 0 2 3 4 5 5 6 7 9 11 11 12 13 15 16 14 11 9 8 7 8 10 9 8 8 4 4 8 11 10 8 7 7 4 3 4 5 6 6 4 3 7 7 2 -1 -3 -3 -2 -1 1 2 3 5 6 8 11 12 12 12 11 15 20 20 22 24 20 15 11 7 6 8 11 13 10 3 1 6 8 7 7 7 7 7 9 7 5 11 21 19 10 10 13 14 13 11 9 7 7 5 5 7 7 6 5 6 8 11 14 11 5 5 7 9 10 10 7 6 5 4 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 4 5 5 5 3 3 4 7 11 14 15 14 11 9 6 3 2 2 3 4 4 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 5 5 6 5 5 6 6 6 7 7 8 7 7 7 7 8 10 11 12 12 12 12 12 13 14 14 13 12 10 10 10 9 6 4 5 6 5 4 4 5 4 4 4 4 4 2 1 3 5 6 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 6 6 7 6 4 5 6 6 6 6 6 6 6 5 6 6 6 5 4 3 3 3 5 9 15 17 14 10 8 7 8 8 7 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 3 3 4 5 6 6 6 8 11 14 16 17 15 13 10 9 8 9 9 8 7 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 4 5 7 9 9 7 3 1 0 -1 -1 3 10 14 14 14 12 9 7 6 6 5 4 4 4 4 4 4 4 4 5 5 7 7 7 7 9 10 8 6 5 6 7 9 9 9 8 8 8 8 8 8 8 9 9 8 6 4 4 4 5 4 3 2 0 0 1 2 3 4 5 5 5 5 4 3 4 4 5 8 10 11 11 9 8 8 10 12 10 8 7 6 6 5 4 4 3 3 4 3 3 3 3 3 4 5 6 7 8 8 5 2 6 17 27 31 29 21 10 5 6 5 0 -7 -9 -5 -2 1 2 3 5 6 6 6 7 9 10 9 11 14 17 18 14 10 10 9 7 8 11 10 9 8 7 6 7 7 7 8 5 5 5 4 4 5 6 6 6 10 14 10 3 -2 -5 -6 -4 -1 2 4 5 7 10 12 13 13 11 9 10 13 17 17 20 26 21 11 5 5 6 8 9 9 8 5 4 8 10 9 9 7 4 8 12 10 11 21 26 19 10 10 13 13 12 11 10 8 7 5 6 7 7 5 5 6 9 13 14 8 4 4 7 9 10 9 8 6 5 5 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 4 5 6 5 4 3 3 3 4 5 8 11 12 12 10 6 4 3 3 3 4 4 4 5 6 6 6 6 6 6 6 7 6 6 7 7 6 6 6 6 5 5 5 5 6 6 5 6 6 6 7 7 7 8 8 7 6 6 7 9 11 12 12 11 11 12 13 13 13 13 12 11 10 10 11 11 8 6 5 5 4 4 5 5 5 5 5 4 3 1 1 4 5 5 6 7 8 7 7 7 6 6 6 5 5 5 5 6 6 6 7 7 6 3 4 6 6 6 6 6 6 6 5 6 7 6 5 3 3 2 2 3 7 11 14 14 13 10 8 8 8 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 6 6 5 5 4 4 6 7 7 6 6 8 10 11 13 13 12 11 10 9 9 10 10 10 10 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 4 5 5 6 7 8 7 5 3 2 1 2 4 8 11 14 15 13 9 7 7 8 6 5 5 5 5 5 5 5 5 5 6 6 7 6 6 8 8 7 3 2 3 5 7 8 8 7 6 6 6 6 6 7 8 9 10 8 6 5 5 5 4 3 3 1 1 1 1 2 3 4 4 4 4 4 3 3 4 5 7 8 8 8 8 8 9 10 12 12 10 8 6 6 6 5 4 3 3 3 3 4 4 5 5 5 6 7 7 9 7 3 4 11 21 27 27 18 8 4 6 11 9 1 -7 -8 -4 -0 2 3 4 6 6 6 6 7 8 9 8 10 14 18 16 12 9 11 11 9 8 9 8 6 8 8 7 8 8 6 5 4 7 7 4 3 5 8 8 9 12 9 4 -0 -4 -7 -8 -5 0 3 4 6 9 12 14 15 15 9 7 11 13 16 15 18 25 20 9 6 7 8 8 7 6 7 7 7 10 10 8 7 5 5 14 17 13 16 23 23 16 10 10 12 13 12 11 10 9 7 6 6 6 6 5 4 6 11 15 12 6 3 5 8 9 10 9 8 6 5 4 3 4 5 5 4 4 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 5 4 4 3 3 3 4 5 5 5 4 3 3 2 1 1 3 5 7 8 8 7 6 5 4 4 4 5 5 6 6 6 6 6 7 7 7 8 7 7 7 7 7 6 6 5 6 6 6 6 6 5 6 6 6 7 7 7 8 8 7 7 6 6 8 11 12 13 11 10 11 13 13 12 12 11 10 9 8 8 9 8 6 6 5 4 3 4 5 6 6 6 6 6 4 -0 -3 2 5 6 6 7 8 8 8 8 6 4 4 4 4 4 5 6 7 6 6 6 8 6 4 7 7 6 6 6 6 5 5 6 8 8 6 4 3 2 2 3 5 8 10 13 13 11 9 8 7 6 5 6 6 5 4 4 4 5 5 6 5 5 5 5 5 5 6 6 5 5 5 6 7 7 7 6 6 5 6 7 8 7 6 6 6 6 8 9 11 11 10 10 11 10 10 11 11 12 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 4 4 6 7 6 6 6 7 7 6 4 3 3 3 4 6 9 12 11 7 6 7 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 5 2 1 2 3 4 5 5 5 5 5 5 5 5 6 6 8 9 9 8 7 6 5 5 4 4 3 3 3 3 3 2 3 4 4 4 4 4 4 5 4 4 3 3 4 4 4 5 7 10 11 9 7 6 5 6 6 4 2 3 3 4 5 6 6 6 7 7 8 9 9 7 3 5 12 18 25 25 15 6 7 13 12 5 -3 -8 -5 -1 1 3 4 6 6 6 6 6 7 8 9 10 11 15 17 14 10 9 11 12 10 8 6 6 6 8 6 5 11 14 13 8 6 7 5 1 2 5 8 8 7 4 -0 -3 -2 -4 -7 -7 -4 1 4 3 5 8 10 12 17 17 11 11 13 13 14 10 12 18 15 8 9 10 10 7 5 6 10 11 8 7 4 5 6 7 9 11 10 10 16 19 17 12 9 10 11 12 12 11 9 8 7 7 7 5 5 4 4 6 13 15 9 4 4 6 8 10 10 9 8 6 5 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 5 4 3 3 3 3 4 5 5 4 4 3 3 2 0 -0 1 3 4 5 6 7 8 7 7 6 5 6 6 6 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 7 6 6 6 9 12 13 12 10 10 11 12 12 11 11 10 9 8 8 7 6 5 5 5 4 4 4 4 5 6 6 6 7 6 5 2 -2 -0 4 6 6 7 7 7 8 9 9 6 5 4 3 3 2 4 6 7 6 6 7 7 5 7 7 6 6 6 6 5 4 5 8 8 7 6 4 3 3 4 5 6 8 11 12 12 11 10 9 7 6 8 7 6 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 5 5 7 7 7 7 7 6 5 7 9 8 7 6 4 3 5 7 9 9 10 10 9 9 9 10 11 11 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 6 6 7 8 8 7 5 5 6 6 6 6 4 3 3 4 5 7 7 6 6 6 5 4 4 4 5 6 6 7 7 7 7 7 6 6 6 6 7 7 5 3 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 7 8 9 9 8 7 6 6 5 5 5 6 5 5 4 4 4 5 5 5 5 6 5 4 2 -0 -1 0 1 1 2 3 5 6 7 7 5 5 5 5 4 4 3 4 5 6 6 7 7 9 9 10 11 10 6 3 4 8 14 24 26 19 13 16 14 3 -5 -8 -8 -4 0 2 5 6 6 6 5 5 5 6 8 12 13 12 14 15 11 8 9 10 11 9 7 6 6 6 6 3 3 7 8 8 4 3 1 -0 -1 0 2 4 4 2 -0 -1 -2 -2 -4 -5 -4 -2 2 3 3 4 6 9 13 19 20 17 17 15 12 11 7 7 12 9 5 5 7 8 8 9 9 7 8 10 5 1 5 8 9 10 6 5 9 14 15 13 10 9 9 11 11 11 10 8 8 7 7 7 5 5 5 5 7 12 13 7 3 5 7 8 9 11 10 7 6 5 4 4 5 5 4 4 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 5 6 7 6 5 4 3 3 3 3 4 4 4 4 4 4 4 2 1 -0 1 2 3 4 5 6 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 7 7 7 8 9 9 8 7 5 6 7 11 13 13 11 9 9 10 11 11 10 9 8 7 7 7 8 7 6 4 4 4 4 4 5 6 6 7 7 7 6 6 4 2 2 4 5 6 7 7 7 7 9 10 10 9 8 7 5 4 4 5 6 7 7 6 6 6 7 7 7 7 7 6 5 4 5 8 8 6 5 5 5 5 4 5 6 7 8 10 12 12 12 11 10 8 8 7 6 6 6 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 5 6 7 7 8 8 6 5 7 8 9 9 7 4 3 4 6 7 8 9 9 7 7 8 8 9 10 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 7 7 8 10 10 8 6 5 5 5 6 6 6 5 5 4 3 4 5 6 6 5 4 3 3 3 4 6 8 9 9 9 10 10 9 7 6 7 7 7 6 4 3 3 4 4 4 4 4 4 5 5 6 5 5 4 4 5 7 8 9 8 8 8 7 7 7 7 8 8 8 7 6 5 5 5 6 6 6 5 3 1 -1 -2 -1 -0 0 0 1 2 3 4 5 5 4 5 5 5 5 5 6 7 6 6 7 9 11 11 11 11 8 3 1 1 4 12 20 23 22 20 12 -0 -12 -12 -8 -5 -1 1 4 6 7 7 6 6 5 5 7 11 15 14 11 13 13 10 8 8 7 8 8 6 6 6 4 2 3 6 5 3 1 -1 -3 -3 -2 -0 1 2 1 0 -1 -2 -4 -6 -8 -5 -2 -1 -0 1 3 3 4 7 11 16 20 22 25 24 17 11 9 10 12 12 8 4 -1 1 5 9 13 11 5 5 11 5 1 7 10 10 8 4 8 13 14 14 11 9 9 10 11 11 10 9 7 7 7 6 6 5 5 5 6 7 10 10 6 4 6 8 8 9 11 9 7 6 4 4 5 5 5 5 4 4 4 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 6 7 6 5 4 3 3 3 4 4 4 4 3 3 4 4 3 2 1 1 2 3 4 4 5 6 7 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 7 6 5 6 8 12 13 12 9 8 9 10 10 10 9 7 5 5 5 5 6 8 7 4 4 3 4 5 5 4 5 9 10 8 6 6 5 4 3 5 5 6 6 7 7 7 7 8 9 10 10 10 9 8 7 6 6 7 7 7 6 6 6 7 7 7 7 7 5 3 5 8 7 5 5 6 6 6 6 6 6 6 6 8 10 11 12 12 12 10 7 6 6 7 6 6 5 4 4 3 3 3 3 5 6 6 6 6 6 6 6 6 6 7 8 8 6 5 5 6 8 9 8 6 4 4 5 6 7 8 8 7 7 6 6 7 9 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 7 7 8 10 12 11 9 7 5 5 5 5 6 6 6 5 4 3 4 4 5 5 4 2 2 2 4 6 7 8 9 11 12 15 15 13 9 7 8 8 8 6 5 5 5 5 5 4 4 4 5 5 6 6 5 5 4 5 6 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 6 6 5 4 3 2 1 1 1 1 1 0 0 1 1 2 2 3 3 3 4 5 5 6 7 6 6 7 11 13 11 9 7 7 4 0 0 1 3 8 14 16 19 16 -5 -21 -21 -12 -6 -2 1 4 7 8 7 6 6 6 6 7 10 15 16 13 11 12 13 11 8 7 5 5 5 5 5 5 3 3 6 8 7 5 4 3 -1 -2 1 2 4 7 3 -1 -2 -3 -5 -8 -8 -2 2 2 1 1 2 3 5 9 11 14 15 19 27 29 17 8 11 18 17 13 9 2 -4 0 5 5 9 9 5 4 5 1 2 9 11 11 8 10 16 18 16 13 10 10 9 10 10 11 10 8 7 7 7 5 5 5 5 6 6 6 8 9 7 7 8 8 9 10 10 8 7 6 4 4 5 6 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 6 7 7 6 5 4 3 4 4 4 4 4 3 3 3 4 4 3 3 2 2 2 3 4 4 4 5 6 6 6 6 6 6 7 7 6 6 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 8 6 5 4 5 9 11 13 11 8 7 8 8 9 9 7 5 4 4 3 1 2 4 5 5 4 4 4 4 4 2 3 8 11 9 6 6 4 3 4 5 5 5 6 6 6 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 7 6 6 7 7 7 7 7 5 3 6 8 7 5 5 6 7 7 6 6 6 5 6 7 8 9 10 11 11 10 8 6 6 6 6 6 7 6 5 4 2 1 1 2 4 5 6 6 5 5 5 5 5 6 7 8 7 5 4 4 5 6 8 8 7 6 6 6 7 9 10 10 8 5 4 6 8 10 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 8 9 12 13 12 10 8 7 6 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 5 5 5 7 10 15 19 18 12 7 6 8 9 8 7 6 6 6 6 5 4 4 4 5 6 5 5 5 5 6 6 7 6 6 5 5 5 5 6 7 8 8 9 9 9 8 8 7 7 6 5 4 4 3 4 4 5 4 3 2 1 1 2 2 2 2 2 2 2 3 3 5 6 6 6 12 17 15 8 3 3 3 3 3 1 2 5 6 6 5 5 -5 -23 -29 -18 -7 -3 0 4 6 9 9 8 6 6 6 8 12 14 14 13 13 13 13 12 10 7 6 7 5 3 5 3 4 4 7 8 7 6 6 6 4 3 2 3 5 7 12 8 1 -1 -1 -1 -2 0 3 4 3 2 2 2 2 6 9 8 6 7 13 21 23 13 8 16 21 16 8 3 -1 -1 5 6 -0 -1 2 5 6 6 5 7 11 12 12 15 24 26 20 15 12 10 9 9 10 10 10 9 7 7 7 6 6 6 5 5 5 5 6 8 8 8 8 9 10 9 9 8 7 6 5 5 5 5 6 5 5 6 5 4 4 4 4 4 5 5 4 5 4 4 4 5 4 4 4 5 6 6 6 5 4 4 4 5 5 5 5 4 3 4 4 4 3 4 3 4 3 3 4 4 4 5 5 5 5 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 7 7 7 7 8 9 9 9 8 7 6 4 4 5 8 11 12 11 8 6 6 7 8 7 6 5 4 4 3 2 3 4 5 5 5 4 5 5 4 3 2 4 7 7 6 5 4 3 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 6 6 7 7 7 7 7 6 4 4 7 9 7 5 5 6 8 7 7 7 6 5 6 7 8 9 10 10 10 10 9 8 7 6 5 5 6 8 8 6 4 2 1 1 1 3 4 5 5 5 5 4 4 5 6 6 7 5 4 4 3 4 6 7 8 8 8 7 7 9 11 11 9 6 5 5 6 9 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 8 7 7 8 10 11 12 11 9 8 7 7 6 6 5 5 5 5 4 4 4 4 5 5 4 4 3 2 2 2 2 2 5 10 16 16 11 6 5 6 8 9 8 7 7 6 6 5 4 3 3 4 5 5 5 5 5 6 7 7 7 6 5 5 4 4 4 5 6 7 7 9 9 9 9 8 8 7 6 6 6 6 6 7 7 6 6 5 5 4 4 3 3 3 3 3 2 2 2 3 4 5 10 17 17 9 3 -0 0 3 5 5 3 6 12 10 0 -5 -11 -25 -31 -22 -9 -4 -1 3 7 9 10 9 7 7 7 9 12 14 13 11 10 13 16 15 12 10 7 6 8 8 7 7 3 3 6 7 7 4 5 8 7 5 4 4 4 6 9 14 12 3 1 3 3 4 5 4 2 2 3 3 2 3 7 8 5 1 2 6 8 10 11 13 18 17 10 0 -3 0 8 10 6 -0 -5 -3 4 10 12 13 14 14 14 16 20 26 23 17 13 11 10 9 10 10 10 9 8 7 6 6 6 6 6 5 5 5 4 6 9 8 6 7 9 9 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 5 4 4 4 5 5 4 4 5 6 6 5 5 4 4 4 5 5 5 5 4 4 4 5 4 4 4 4 5 4 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 7 7 7 6 7 7 8 8 9 9 9 9 8 6 5 4 3 5 7 10 12 11 8 6 5 6 6 6 6 5 5 5 4 4 5 5 5 4 5 5 5 6 5 4 3 3 4 5 6 4 2 3 5 5 5 5 6 5 5 6 7 7 7 7 7 6 6 6 6 7 6 6 7 7 7 7 7 7 7 8 7 5 4 5 9 10 7 5 5 7 8 7 7 6 5 5 6 7 8 9 10 10 10 10 10 10 10 7 6 5 5 6 7 8 6 4 3 2 2 1 3 4 5 6 5 4 3 3 3 4 5 5 5 3 2 2 4 6 7 7 8 7 8 8 9 9 8 7 6 5 6 7 10 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 11 10 10 9 8 9 10 10 10 9 8 9 9 8 7 6 6 6 6 5 5 4 5 5 5 5 5 4 3 3 2 2 1 1 5 10 11 8 5 5 6 7 8 8 8 8 7 6 5 4 3 2 3 4 5 5 4 4 5 6 7 7 7 6 5 4 4 4 4 5 5 6 7 7 8 9 9 9 8 8 8 8 7 7 8 8 7 8 8 7 7 6 5 5 5 5 5 5 5 4 3 3 7 14 16 12 8 4 0 1 5 6 2 4 17 25 19 5 -4 -10 -19 -20 -11 -6 -2 2 7 10 10 9 8 7 7 10 12 13 12 9 9 12 14 16 14 11 9 7 6 7 7 9 11 7 4 4 5 6 4 6 8 8 6 4 5 5 5 8 10 11 5 4 7 7 5 4 3 2 2 4 4 3 3 6 7 6 1 2 3 -0 2 10 16 18 14 9 3 -0 -1 5 11 9 4 -4 -5 2 8 10 13 16 18 18 18 19 19 16 13 11 10 9 8 9 10 10 9 7 7 6 6 6 6 6 6 5 4 3 5 8 7 5 6 8 9 8 8 7 6 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 4 3 4 5 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 9 9 8 7 7 6 4 3 3 4 6 9 12 11 8 6 5 5 6 5 5 5 5 4 5 6 5 5 5 5 5 6 6 6 5 5 4 4 4 4 5 3 2 4 5 5 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 6 7 7 7 7 8 8 6 4 4 7 10 9 6 5 6 7 8 8 7 5 5 5 5 6 7 9 11 11 11 11 12 12 12 10 8 6 6 5 5 6 6 6 5 5 6 4 4 5 5 6 5 5 4 3 2 3 3 4 4 3 2 2 3 4 5 6 7 6 6 7 7 6 6 6 7 6 5 7 10 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 14 14 13 12 10 10 11 11 10 9 9 10 10 9 8 7 7 7 7 7 6 5 5 5 5 5 5 5 6 5 4 3 2 1 3 6 8 8 7 7 7 6 5 6 8 8 6 5 4 3 3 3 3 4 5 5 4 4 4 5 6 7 8 7 6 5 4 5 4 5 5 6 6 6 6 6 7 8 9 8 8 8 8 8 8 7 8 8 8 8 8 7 6 6 6 7 7 8 8 6 4 6 13 16 12 11 11 6 3 5 8 3 -3 10 26 35 28 12 3 0 -5 -9 -8 -5 1 7 11 12 10 7 6 7 9 12 14 12 11 11 11 14 15 13 11 10 8 5 5 6 6 7 11 10 7 4 4 5 5 6 7 7 5 4 6 6 5 6 4 5 4 3 6 6 5 4 4 4 5 6 5 3 3 6 7 6 3 6 5 3 5 11 15 17 15 14 11 5 2 3 8 10 7 -2 -4 1 6 8 11 16 19 18 17 16 14 12 10 9 9 8 8 9 10 9 8 7 6 6 5 6 6 6 6 5 3 2 5 8 7 5 6 8 9 8 7 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 5 4 3 3 3 5 6 6 6 5 4 4 5 5 5 5 5 5 6 7 6 6 5 5 5 5 4 4 3 3 3 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 5 3 2 3 6 9 11 11 9 7 4 4 4 4 5 5 6 6 6 6 5 5 5 5 6 6 6 6 5 5 4 4 4 4 3 3 2 3 4 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 7 6 6 6 7 7 7 7 7 8 8 6 4 6 10 11 7 4 5 6 7 8 8 8 6 5 5 5 5 7 8 11 12 12 12 14 15 14 13 11 9 9 9 8 7 7 5 5 6 8 8 7 6 6 6 6 6 5 4 3 3 4 4 4 3 3 2 2 3 4 6 6 6 5 5 6 6 6 6 6 6 6 7 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 11 12 12 13 13 13 13 13 13 12 12 12 11 11 11 9 8 8 8 8 9 9 8 6 5 4 5 5 6 6 7 6 5 4 3 3 4 6 7 9 10 8 4 3 4 5 6 5 4 4 3 4 4 3 4 4 4 4 4 4 4 5 7 8 8 7 6 5 5 6 5 6 6 6 5 5 4 5 6 8 8 8 7 8 8 9 8 8 8 7 7 7 6 5 6 6 7 8 8 9 8 8 11 13 12 10 10 7 4 5 8 6 -3 -5 15 25 28 23 7 -2 -6 -9 -10 -6 -0 6 11 12 10 7 6 7 8 10 13 13 13 14 14 13 13 12 10 10 9 7 5 5 5 5 6 9 10 7 5 4 2 3 4 6 5 4 5 6 6 5 4 2 2 3 2 4 5 4 4 6 7 7 6 5 3 3 4 6 6 8 9 7 7 9 13 16 16 17 17 13 8 9 9 6 7 7 2 1 3 4 7 11 15 16 16 15 14 12 11 9 8 8 9 8 8 10 9 8 7 6 6 5 5 6 6 6 5 4 4 5 7 7 6 7 8 8 8 8 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 5 4 4 3 3 3 5 6 7 5 4 5 5 5 5 5 5 6 7 8 7 6 6 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 6 5 5 5 5 6 6 7 8 7 6 6 7 7 7 8 8 7 7 6 6 6 7 5 4 3 3 5 8 10 11 9 6 4 3 2 3 4 5 6 9 9 6 6 6 5 6 6 6 6 5 5 4 4 4 4 4 3 2 3 3 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 7 7 8 8 6 5 5 9 11 9 5 5 5 6 8 8 8 7 6 6 5 5 6 6 8 10 11 12 13 14 16 17 15 13 12 13 14 15 14 11 8 6 6 6 8 7 7 6 6 6 6 5 5 5 4 4 4 4 4 3 3 2 3 3 5 6 6 4 4 4 5 5 5 5 6 6 7 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 9 10 11 13 13 13 14 14 14 14 12 12 12 11 10 8 8 9 10 10 10 8 7 5 4 4 5 6 7 7 7 6 5 4 4 5 6 10 11 8 4 2 2 3 4 4 3 3 4 5 4 4 4 4 4 4 4 3 3 4 5 7 8 8 7 6 6 6 6 6 6 6 6 5 4 3 4 6 7 7 6 7 8 9 9 8 8 7 7 7 7 7 7 7 7 8 9 10 11 12 11 6 6 7 4 1 3 7 8 3 -4 -0 10 9 6 7 -7 -15 -18 -14 -7 1 8 12 12 10 7 6 8 10 10 10 12 14 16 16 15 13 10 10 9 9 9 6 5 6 6 6 5 6 8 7 8 5 1 1 3 5 6 6 5 7 8 7 6 6 6 6 6 5 5 6 6 7 7 5 4 4 3 2 4 5 7 10 7 4 6 8 15 19 17 15 13 10 7 11 14 8 3 4 3 4 5 4 7 11 13 14 13 14 13 12 10 8 8 9 9 8 9 9 9 8 7 6 6 5 5 6 6 6 5 5 5 5 5 7 9 8 6 6 8 8 6 5 4 5 6 6 6 5 5 5 6 6 6 5 5 6 6 6 5 5 5 4 5 5 5 5 4 2 2 3 6 6 5 4 5 6 6 6 5 5 6 7 8 7 6 6 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 6 6 5 5 6 7 7 8 7 7 6 6 6 7 7 8 7 7 6 6 5 6 7 6 4 3 2 4 7 10 11 10 7 5 3 2 2 4 4 4 8 10 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 3 2 2 3 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 7 5 5 7 11 11 7 5 5 6 8 8 8 7 7 6 6 6 6 7 7 8 8 9 10 11 13 15 16 16 14 14 15 17 19 20 17 13 10 8 6 7 7 7 6 6 5 6 6 5 6 6 5 5 4 4 4 4 3 3 3 4 5 5 5 4 4 4 4 4 5 5 5 6 8 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 8 9 9 9 10 11 12 13 12 12 12 13 14 14 12 9 8 8 9 10 11 10 8 7 5 4 4 5 5 6 7 7 6 6 6 6 6 8 10 9 4 2 1 2 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 4 6 8 8 8 8 7 6 5 5 5 7 8 8 6 4 4 5 5 5 5 5 6 7 8 8 7 7 7 9 10 10 10 10 10 10 11 12 14 12 6 2 1 -0 -2 2 7 8 5 2 1 3 0 2 0 -3 -10 -14 -11 -4 4 11 14 13 9 6 5 9 14 14 12 11 13 15 15 13 10 9 10 11 9 8 7 5 6 8 10 8 5 4 5 6 8 7 4 2 3 5 7 7 5 5 7 8 7 9 11 11 11 9 9 9 8 6 4 2 3 4 4 4 5 5 5 5 4 2 2 6 15 21 17 11 8 6 6 9 14 10 5 3 1 3 7 8 9 10 11 10 10 10 11 10 9 8 9 9 9 8 9 9 8 8 7 7 6 5 6 6 6 5 5 5 5 3 4 11 14 8 2 3 6 7 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 5 4 4 5 5 5 5 4 2 0 2 5 6 5 4 5 7 7 6 5 5 6 7 7 6 5 6 6 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 5 5 6 6 6 5 6 6 6 7 8 8 7 6 6 6 6 7 7 7 7 6 6 5 6 7 7 6 4 3 3 4 6 9 10 10 8 6 4 4 4 5 6 5 5 8 7 5 4 4 5 4 5 5 4 4 4 4 4 4 4 4 3 3 4 4 5 5 6 6 7 7 7 7 7 8 8 7 7 7 7 6 6 7 7 6 7 7 7 8 8 6 5 5 9 11 9 6 5 6 7 9 8 8 7 5 5 6 6 6 7 8 8 7 7 7 8 10 11 13 14 14 14 14 17 21 23 21 17 13 11 9 8 8 8 8 7 7 6 6 6 6 6 6 6 5 5 5 5 5 4 3 4 4 5 6 5 4 4 4 4 4 4 4 5 6 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 8 8 9 10 10 10 10 11 13 15 16 15 12 8 7 8 9 10 10 9 8 8 7 6 5 4 5 5 6 7 7 7 6 5 6 8 8 6 3 2 3 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 3 3 5 7 8 8 9 7 6 4 3 4 6 8 9 7 6 5 4 4 4 4 4 5 6 6 6 6 6 8 11 12 12 12 11 11 12 14 16 14 10 6 4 1 -0 4 8 8 6 2 1 3 2 2 7 9 7 6 4 5 9 13 15 12 8 5 4 8 13 17 15 12 11 13 15 13 8 6 8 10 11 8 6 5 5 7 8 10 9 8 6 2 3 5 7 7 6 4 5 7 6 1 -1 4 6 6 8 10 11 11 11 12 11 6 3 2 2 4 5 6 8 8 5 3 3 5 4 -1 2 14 22 17 10 6 5 6 9 10 9 7 3 0 3 10 12 10 8 8 7 6 7 8 9 9 10 10 9 8 7 8 8 9 8 8 7 6 5 5 6 5 4 5 5 4 4 7 12 12 7 4 3 4 5 4 4 4 5 6 7 6 6 7 7 6 7 7 7 7 7 7 7 6 5 5 5 6 6 5 5 4 2 -0 1 5 6 5 4 6 8 8 6 5 5 6 6 6 5 4 5 6 5 5 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 7 7 6 5 3 3 4 6 7 9 9 8 7 5 5 6 8 9 8 6 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 4 5 5 6 6 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 8 8 6 4 5 9 10 7 5 5 6 7 8 8 7 5 5 5 5 6 6 7 8 7 7 6 6 6 7 8 9 11 12 12 13 16 20 22 20 17 15 13 11 10 10 11 11 11 10 8 7 6 6 6 7 7 7 7 6 6 5 5 4 4 4 5 6 6 5 4 4 4 4 4 4 4 5 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 6 6 6 7 7 7 8 9 9 11 12 13 16 17 13 9 7 7 7 7 8 9 9 9 9 8 7 6 5 4 5 6 6 6 7 6 6 8 9 8 5 3 3 3 3 3 3 4 5 5 5 4 5 4 4 4 4 4 3 3 5 6 7 8 9 7 5 4 3 3 5 7 8 7 7 5 4 3 4 4 4 5 5 5 4 4 5 7 9 9 8 8 8 9 13 16 15 12 9 7 6 4 4 7 7 5 3 1 3 5 6 6 8 12 14 15 14 13 14 15 11 6 2 3 6 11 15 15 12 10 10 12 14 12 8 8 10 12 11 8 5 4 5 7 7 8 8 9 9 5 3 3 4 7 7 5 5 6 5 1 -1 4 5 5 5 6 6 7 10 11 9 4 3 2 4 6 8 9 11 10 8 5 6 8 4 -3 1 12 19 13 10 12 11 8 6 5 5 4 1 1 5 11 11 8 6 6 6 6 8 8 8 9 10 10 9 7 7 8 8 8 8 8 7 6 5 4 5 5 5 5 4 4 6 8 8 9 9 7 5 4 3 3 3 4 5 6 7 6 7 7 7 7 7 7 7 7 7 8 7 6 6 6 6 6 6 5 5 4 2 0 1 5 5 4 5 7 10 10 7 5 5 6 6 5 4 3 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 7 7 8 7 6 6 5 5 6 6 5 6 5 5 5 5 4 4 6 6 6 5 4 4 4 5 7 8 8 8 8 6 6 6 8 10 9 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 5 7 5 4 5 5 6 6 6 7 7 8 8 8 8 8 7 7 7 7 6 6 7 7 7 6 7 7 8 8 5 4 6 9 8 5 4 5 5 6 6 7 6 5 6 6 5 5 5 7 7 8 7 5 5 5 5 6 6 7 9 10 10 12 15 17 17 16 15 14 13 12 12 14 15 15 14 12 10 9 9 9 8 8 8 8 8 7 6 5 5 4 4 4 5 5 5 4 5 5 4 3 3 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 7 6 6 5 5 5 6 7 7 7 8 9 12 14 15 12 9 8 7 6 7 8 9 9 9 10 10 10 9 7 6 5 5 5 6 7 7 6 7 9 9 7 5 3 3 3 3 4 4 4 5 4 4 3 4 4 4 5 4 4 4 5 5 7 8 8 7 5 3 3 3 5 6 7 8 8 7 6 4 4 4 5 6 5 4 3 3 4 6 5 4 3 3 4 6 9 8 5 6 6 6 5 5 5 6 6 5 2 4 9 11 12 9 7 8 10 12 13 14 14 10 3 0 1 4 8 11 12 10 9 10 9 10 12 11 11 12 13 13 11 9 6 5 6 6 6 5 6 8 8 8 6 3 3 5 5 5 6 6 5 4 2 2 3 4 4 4 4 6 8 7 7 7 5 4 6 8 10 10 12 12 10 9 11 12 8 2 2 10 14 8 7 17 19 11 3 2 2 1 -0 0 5 9 7 5 5 6 8 9 9 9 9 10 11 10 8 7 7 8 8 8 7 8 8 7 5 5 4 4 5 4 4 5 7 7 6 7 8 7 8 8 4 3 3 4 4 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 6 5 4 1 -0 3 5 4 3 5 8 10 11 9 7 6 6 6 5 3 3 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 7 6 5 5 5 4 5 5 5 5 5 4 5 4 4 4 5 5 5 5 4 5 5 6 7 7 8 8 8 7 6 6 6 8 7 6 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 3 5 6 5 4 4 5 6 6 7 7 7 8 8 8 9 8 8 7 7 7 6 7 7 7 7 6 6 7 8 8 6 4 6 8 7 5 4 5 5 5 5 6 5 5 6 6 6 6 5 6 7 7 6 5 5 4 4 4 5 5 6 7 7 8 9 11 12 13 13 14 13 13 13 14 16 17 16 14 13 12 12 12 11 10 9 9 10 10 8 7 6 5 5 4 4 4 4 4 4 5 4 4 4 3 4 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 9 9 8 7 6 6 6 7 6 6 6 7 10 11 11 10 9 8 8 8 8 10 10 10 10 9 10 11 11 10 8 6 6 6 5 6 6 6 7 7 8 8 7 6 5 4 4 4 4 4 4 4 4 3 3 3 4 5 5 4 4 4 5 6 7 7 6 4 4 4 5 5 5 6 8 9 9 7 6 5 5 6 7 6 5 4 4 4 4 3 2 1 1 2 4 4 2 2 4 4 4 5 7 7 10 11 8 3 9 17 20 16 11 10 12 15 16 15 12 8 2 -2 -1 3 8 11 10 8 8 11 11 9 9 11 10 12 15 14 13 10 8 8 8 7 5 5 5 6 5 6 8 7 6 6 5 3 3 5 5 4 4 4 2 2 3 3 2 3 6 8 8 10 13 8 5 6 8 8 8 10 10 6 5 10 14 11 7 5 10 12 6 5 15 18 10 3 2 3 3 5 6 8 8 6 4 6 9 11 12 11 10 9 10 11 10 9 8 8 8 8 8 7 7 8 7 6 5 5 5 4 4 4 5 7 6 5 5 5 7 11 10 6 5 5 3 2 4 5 6 6 7 7 7 7 7 6 6 7 7 8 8 8 8 8 7 6 6 5 4 1 0 4 6 2 2 6 10 11 11 11 9 7 6 6 5 3 4 4 5 6 6 6 6 6 6 6 5 5 5 5 5 6 5 5 5 5 4 5 5 5 6 7 7 8 8 6 5 5 5 4 5 5 5 5 5 4 5 5 4 4 4 4 5 5 4 4 5 5 6 7 8 8 9 8 7 6 5 5 5 6 6 5 5 5 4 4 4 5 6 6 5 5 5 5 3 2 3 5 6 4 4 4 5 6 6 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 6 7 8 7 6 5 6 7 7 5 5 5 6 5 5 5 5 6 6 7 7 6 5 6 6 6 6 5 5 4 3 3 4 4 4 5 6 6 5 6 7 8 10 11 11 12 12 13 15 17 17 15 13 13 13 13 14 13 12 10 11 12 11 9 8 7 6 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 10 12 11 9 8 8 7 7 7 6 6 7 8 8 8 9 9 10 10 10 11 12 12 12 10 9 9 10 11 11 11 10 9 7 6 6 6 6 6 6 7 7 7 7 7 7 6 5 5 4 5 5 4 3 2 3 4 5 5 5 5 5 5 5 6 7 5 4 5 7 7 6 4 4 6 8 8 8 8 7 7 8 8 7 6 6 6 5 4 3 2 2 2 3 3 4 6 7 6 5 3 4 6 9 12 14 10 6 11 19 22 18 14 15 19 21 18 12 6 -1 -4 -3 1 7 12 11 7 5 8 12 10 8 9 11 10 13 15 13 13 10 7 7 7 8 5 5 6 7 5 4 6 7 7 9 8 3 2 3 3 4 4 5 4 4 5 4 2 4 7 11 15 18 16 9 6 5 6 6 6 8 7 2 1 8 11 8 6 8 13 15 8 5 10 11 5 3 6 8 10 14 14 11 8 5 5 7 11 13 13 11 10 10 11 10 10 9 9 9 9 8 8 7 7 7 7 7 6 5 5 5 5 4 4 6 5 4 4 4 7 10 8 5 7 9 6 1 1 4 6 6 7 7 7 7 6 6 6 6 7 7 7 8 9 7 7 6 6 5 4 2 2 5 5 1 3 9 12 12 11 11 10 8 7 6 4 4 4 5 5 6 6 6 5 5 6 6 5 5 5 5 5 6 5 5 5 4 4 5 5 6 7 8 9 9 7 6 5 5 5 4 4 5 5 5 5 5 6 5 5 4 4 4 5 5 5 5 5 5 6 7 8 9 9 9 8 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 3 1 1 6 5 5 4 5 6 6 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 8 7 7 7 7 7 6 5 6 7 6 5 5 6 6 6 5 5 5 6 6 7 7 6 6 6 5 6 6 6 5 4 3 3 3 4 5 5 5 5 5 5 5 5 6 7 8 10 11 11 12 14 15 15 14 14 14 14 15 16 15 13 12 14 14 12 12 11 9 7 5 5 4 3 3 3 4 4 4 3 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 4 4 5 7 10 12 12 10 8 7 6 7 7 7 7 8 9 8 8 7 7 7 8 10 12 14 14 14 15 14 13 13 14 16 18 17 16 15 12 9 7 7 7 6 6 6 7 7 7 6 5 5 6 7 7 6 3 2 2 3 4 7 10 12 10 7 6 6 6 5 5 8 11 11 8 4 3 4 5 6 7 8 9 8 8 6 6 6 7 8 8 8 6 5 4 4 5 5 6 8 13 17 17 11 7 5 6 9 11 10 6 8 13 13 13 14 6 -1 -5 -8 -7 -4 -2 0 4 9 11 9 7 6 5 6 6 4 5 7 9 10 14 14 13 13 10 8 4 3 6 7 5 6 7 8 6 5 4 9 12 8 4 3 3 3 5 5 5 4 6 7 7 6 10 13 14 15 12 7 3 4 8 8 9 9 6 2 1 5 10 8 1 -0 4 8 12 15 13 10 7 5 8 14 16 13 9 7 6 7 8 9 9 10 11 11 10 10 10 11 10 10 9 9 11 11 8 8 7 6 6 7 7 7 5 4 6 8 5 4 4 5 4 2 2 6 8 8 8 8 6 2 1 1 2 5 6 6 6 6 7 7 6 5 5 4 4 6 8 9 8 6 5 5 5 5 4 5 5 3 4 9 13 13 11 8 9 10 10 9 6 4 4 5 5 6 5 5 5 6 6 7 7 6 6 6 7 6 5 5 5 5 5 5 6 7 7 8 9 8 7 6 6 5 5 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 5 5 5 6 6 6 7 9 10 10 8 7 6 4 2 1 2 3 4 4 5 6 6 5 6 6 6 5 5 5 4 1 1 5 6 6 6 6 6 7 6 7 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 7 6 5 5 6 8 10 9 6 4 5 6 7 6 5 5 5 4 4 4 4 5 5 5 6 5 5 5 5 4 4 3 4 4 5 5 6 6 6 6 5 5 5 5 7 8 9 10 11 11 12 13 15 15 15 15 15 16 16 16 14 13 12 12 11 11 12 12 11 9 7 6 4 4 4 4 4 4 3 3 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 16 13 8 6 1 0 7 17 21 15 13 13 14 11 8 5 8 11 12 15 17 17 12 10 10 15 16 15 17 19 16 7 4 3 -1 6 11 13 11 8 4 14 15 13 14 15 16 16 16 16 16 15 15 14 13 14 16 17 17 19 21 20 19 18 15 12 11 11 12 15 15 14 13 12 11 11 12 13 14 15 14 13 10 9 9 11 12 12 12 11 10 10 10 10 11 11 12 12 12 11 11 12 12 13 14 14 13 12 11 10 11 12 11 12 13 12 13 13 13 13 13 13 13 12 12 13 13 12 12 12 11 10 10 11 12 12 13 13 14 15 15 14 13 11 10 7 7 13 20 20 11 1 5 17 21 20 16 13 12 12 13 13 13 13 13 13 13 14 14 13 13 14 13 13 13 13 13 12 13 13 14 14 13 12 12 11 12 13 14 13 12 11 12 13 15 16 15 15 13 12 13 13 13 13 13 12 11 13 13 12 12 12 12 14 19 18 15 14 14 13 14 16 16 15 15 15 15 15 15 16 15 14 14 14 13 13 14 15 15 15 15 15 15 15 15 12 10 10 15 19 16 14 14 14 14 15 15 15 15 14 15 15 15 15 15 16 15 15 15 16 16 16 16 16 16 14 15 15 14 14 13 12 11 11 11 11 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 12 12 12 13 13 14 15 16 17 16 14 12 11 10 10 10 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 11 10 10 11 10 11 11 12 12 12 10 9 9 10 11 12 12 12 13 12 12 12 11 11 12 12 13 13 14 15 16 16 15 14 14 14 14 15 15 13 12 11 11 12 12 12 13 13 14 16 16 16 15 14 13 11 10 8 7 9 11 11 10 11 11 11 11 12 11 7 3 1 6 13 21 24 22 18 14 12 11 10 11 11 11 11 12 12 12 13 14 14 13 14 14 13 14 14 14 15 15 14 13 12 11 12 14 15 16 15 16 16 17 18 19 17 15 15 16 17 17 15 15 13 12 12 13 13 13 12 12 12 13 14 15 15 16 15 14 15 15 14 12 12 13 14 nan
nan nan nan nan nan nan nan 11 19 15 13 8 8 10 12 11 7 5 10 15 18 19 16 11 6 9 12 17 18 17 16 14 8 2 1 4 10 14 15 12 8 8 11 12 13 14 13 12 13 14 15 15 15 14 13 14 15 16 16 15 15 16 16 15 16 16 16 15 14 15 16 15 13 12 11 11 12 12 12 10 10 11 12 11 10 9 10 11 11 11 10 10 10 10 11 11 11 12 11 11 10 11 12 13 14 14 14 12 12 11 10 10 11 12 12 12 12 12 12 13 13 13 13 12 12 11 11 12 13 12 12 12 11 10 11 12 13 13 12 13 15 15 14 13 12 12 12 13 15 17 15 10 7 6 10 16 18 16 13 11 12 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 14 13 12 11 11 12 14 14 13 12 12 12 14 14 16 16 15 13 13 13 13 12 12 12 12 12 13 14 12 11 10 8 11 19 21 17 16 16 15 15 15 15 14 14 15 14 14 15 15 16 16 14 14 13 13 14 16 16 16 14 15 17 17 17 15 11 7 10 15 14 14 14 14 15 18 20 21 19 15 14 13 14 14 14 14 15 15 14 14 15 15 15 15 16 17 16 15 14 14 13 12 11 11 10 11 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 13 14 14 13 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 9 9 11 12 12 12 13 13 12 12 12 12 12 12 13 13 13 15 16 15 14 12 12 13 14 15 14 13 12 10 10 10 12 12 13 14 14 15 16 16 15 14 14 13 10 11 12 14 16 16 13 11 12 11 11 11 11 10 10 12 17 22 27 26 20 18 15 13 11 11 11 10 10 11 12 12 12 13 14 14 14 14 14 13 13 14 15 15 15 15 13 13 12 12 14 15 15 15 15 16 19 21 20 18 14 12 14 15 16 16 14 13 13 13 13 12 14 14 13 12 13 14 14 14 15 14 15 15 14 14 13 13 13 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 8 8 8 14 18 19 17 15 12 11 7 9 17 15 12 12 15 14 11 9 9 12 17 19 17 13 8 5 8 12 14 15 14 13 13 13 14 14 13 13 13 13 13 13 10 9 9 10 12 14 15 16 16 15 16 15 14 11 10 10 10 10 10 10 9 8 8 10 12 11 11 11 11 10 9 10 10 11 11 12 12 12 11 10 9 9 10 11 13 13 13 13 12 11 11 11 10 11 12 12 12 12 11 11 13 13 12 12 13 12 11 10 11 12 13 12 11 11 11 12 13 13 13 13 14 15 15 12 9 11 16 16 16 14 14 12 12 12 8 9 14 17 15 12 11 11 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 12 14 14 13 12 10 7 10 16 25 26 19 15 13 13 13 13 12 11 11 13 14 14 13 11 10 8 8 14 16 15 15 16 16 16 16 15 14 14 14 13 13 13 14 16 17 15 14 13 12 14 15 17 16 14 14 15 16 17 19 18 15 12 14 15 14 13 12 12 15 19 23 22 18 16 14 14 14 14 15 15 15 14 15 15 15 15 15 16 17 17 16 15 14 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 11 10 10 11 11 11 11 12 13 13 14 14 13 10 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 11 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 12 13 13 12 13 12 12 13 13 14 13 13 13 15 15 14 12 12 13 14 12 11 8 6 6 8 10 11 12 13 13 14 15 15 15 15 14 13 13 12 12 14 17 19 20 16 14 13 12 11 10 11 12 11 13 16 19 21 20 17 14 12 13 13 12 12 11 11 11 12 13 14 14 14 14 14 13 13 13 13 13 15 16 16 15 14 13 13 14 14 14 15 14 14 15 16 20 22 20 16 13 13 15 16 15 14 14 14 13 13 12 12 13 14 14 13 14 13 14 14 14 14 15 16 16 14 13 13 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 9 6 5 12 18 17 11 10 12 21 21 13 11 10 14 17 15 10 7 6 9 13 16 16 14 14 13 13 14 14 14 14 15 15 16 14 11 8 7 7 9 11 12 13 13 13 13 13 11 10 8 8 9 10 10 9 8 8 9 9 11 14 14 13 10 10 10 10 11 11 12 13 13 11 9 8 8 8 9 11 13 13 13 13 12 11 10 11 11 12 12 13 13 12 12 12 12 13 13 13 12 11 11 11 11 11 12 11 11 12 13 13 13 13 13 13 14 15 14 11 8 11 15 18 16 14 13 12 13 13 11 11 13 15 13 11 11 12 13 13 14 14 13 13 12 13 13 13 14 13 13 13 13 13 13 13 13 13 13 12 12 12 11 12 13 13 13 13 11 9 3 1 6 20 32 31 26 19 14 13 13 12 11 11 12 13 13 13 13 13 12 11 11 12 13 14 16 16 16 16 16 15 15 14 14 13 12 13 15 17 17 15 14 12 12 13 16 17 17 16 14 12 12 18 23 19 15 15 15 15 15 12 7 4 8 13 18 19 19 18 16 16 15 16 16 16 15 15 15 15 16 16 17 17 17 16 14 14 13 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 13 14 14 15 14 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 11 12 12 12 11 11 11 10 9 10 10 10 10 10 10 11 11 11 11 11 10 11 12 12 12 12 13 13 13 13 13 14 14 14 13 13 14 13 13 14 13 13 11 8 6 4 5 8 10 12 12 13 13 13 14 15 15 15 14 13 12 12 13 14 18 18 16 14 14 14 13 13 12 11 12 11 11 12 12 12 12 12 11 12 12 12 12 13 13 13 12 12 12 13 14 14 14 14 14 13 12 11 12 15 16 17 16 15 14 13 13 13 14 14 15 15 15 15 17 20 21 19 15 12 13 14 14 14 14 14 13 13 12 13 13 14 14 13 12 13 14 14 15 15 15 16 16 15 14 14 13 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 17 10 10 18 17 13 8 9 11 13 12 9 8 12 14 16 15 14 13 12 13 13 12 13 14 15 16 16 18 17 16 11 7 4 4 5 7 8 8 8 9 9 8 7 7 8 9 10 10 9 9 9 10 12 13 15 16 13 11 9 9 10 11 12 13 14 13 11 9 8 8 8 9 11 12 13 13 12 11 11 10 10 11 12 12 13 13 12 12 12 12 13 13 12 12 12 11 11 11 11 12 12 13 13 14 14 13 13 13 13 13 14 14 13 12 13 14 15 14 13 13 14 14 14 14 13 13 13 12 12 11 12 13 14 14 14 14 14 12 12 13 14 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 12 13 12 12 12 12 11 7 1 -1 4 16 25 31 30 23 17 13 13 12 12 11 12 13 13 13 15 15 14 13 13 12 13 15 15 15 15 17 17 17 15 15 15 14 14 14 15 16 16 15 14 12 13 15 17 18 19 16 12 9 13 20 19 17 15 15 16 17 17 12 7 6 9 13 16 18 19 18 17 17 17 16 17 17 16 16 16 15 16 16 16 15 15 14 13 12 12 12 12 11 11 11 11 10 11 11 11 11 12 12 11 11 11 10 11 11 11 11 11 12 13 13 14 15 14 13 10 9 9 10 10 10 10 10 10 9 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 12 12 12 12 13 13 13 14 14 14 14 13 14 13 14 15 16 15 14 12 11 10 10 11 12 12 13 13 13 13 13 13 15 15 15 15 13 13 13 13 13 14 16 15 13 12 12 13 14 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 12 13 14 15 15 14 14 14 13 12 11 13 17 17 17 16 15 15 13 12 12 13 14 15 15 15 16 17 18 21 18 14 13 12 12 13 14 15 14 13 12 12 13 14 14 14 13 12 13 13 14 15 16 16 16 15 14 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 13 15 15 15 17 16 15 13 11 11 11 12 12 12 13 14 16 16 16 17 18 17 15 12 8 4 3 4 5 6 7 8 8 7 7 8 9 10 11 10 10 11 11 12 14 15 16 15 12 10 9 8 8 9 10 11 13 14 13 10 9 9 8 9 11 12 12 11 11 11 10 10 10 11 12 12 13 12 12 12 12 12 13 13 12 12 11 11 11 11 12 12 13 13 14 14 13 13 13 14 13 13 13 14 14 14 14 13 13 13 13 13 15 14 14 14 15 14 14 12 12 12 12 13 14 14 14 14 13 12 13 13 13 13 14 14 13 13 14 14 13 13 13 13 13 12 12 13 13 12 12 12 12 13 14 14 10 4 -1 1 9 19 33 34 21 15 13 13 13 12 12 12 13 14 14 14 14 14 13 13 13 15 15 14 13 16 22 26 22 17 18 17 15 15 15 14 14 15 14 13 13 14 15 16 18 17 14 13 13 16 17 17 17 16 16 16 18 18 14 11 9 10 12 14 16 17 18 17 17 16 17 18 17 17 17 16 15 15 14 15 14 13 13 13 13 13 12 11 11 11 11 11 11 11 11 12 12 11 12 12 11 11 11 12 13 12 13 14 15 16 15 14 12 10 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 12 11 12 12 11 11 10 10 9 10 10 11 11 11 12 12 11 11 11 11 11 11 11 10 10 11 11 12 13 12 13 14 14 14 14 13 13 13 14 16 17 16 14 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 15 16 15 14 12 11 11 12 12 12 12 12 12 12 12 11 10 10 11 12 12 12 12 12 12 12 12 12 12 12 13 14 15 15 15 15 15 14 13 13 14 15 16 16 16 15 14 13 12 13 13 14 14 14 16 18 18 17 18 18 16 14 12 12 13 15 15 14 13 12 12 13 13 13 14 13 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 11 10 10 12 13 13 14 15 16 18 17 16 15 15 15 15 13 10 8 8 10 13 14 12 10 9 10 12 14 14 13 13 13 13 13 15 16 16 14 11 9 8 8 8 8 9 11 13 14 14 12 10 9 9 9 10 10 12 12 11 10 10 10 11 12 13 13 13 12 11 11 11 11 12 13 13 12 11 11 10 11 11 12 14 14 14 14 14 14 13 13 12 13 14 13 14 14 14 14 13 12 11 13 15 15 14 14 14 14 13 13 13 13 14 14 14 14 14 14 14 14 13 12 12 13 14 14 13 13 14 14 14 14 13 14 14 13 13 13 13 12 12 12 12 13 14 14 15 13 9 3 -0 5 27 39 28 21 15 13 13 12 12 12 13 14 14 15 15 15 15 14 14 15 14 11 6 6 17 30 29 22 23 21 18 17 17 15 14 12 13 14 14 14 14 15 15 14 14 14 15 14 15 15 15 15 15 15 15 15 14 12 11 10 10 10 12 15 16 16 16 16 17 17 16 17 16 16 16 15 15 16 15 14 13 13 12 12 12 12 11 12 12 12 12 12 12 11 13 13 13 14 14 15 15 16 17 16 17 16 16 15 12 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 9 9 10 10 10 11 12 12 12 11 11 11 12 12 11 10 10 10 10 11 12 13 13 13 14 13 13 14 13 13 13 14 16 15 13 11 11 12 12 13 13 13 14 13 12 13 14 14 15 15 14 15 15 14 14 14 14 14 16 17 17 16 13 11 11 11 11 11 12 12 11 11 10 10 10 10 11 11 11 12 11 12 11 11 12 12 13 14 14 14 14 14 14 14 14 14 14 14 15 15 15 16 15 15 14 13 13 13 13 14 14 14 14 15 16 16 18 18 17 14 12 12 12 13 14 14 12 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 6 6 6 7 8 9 11 10 8 6 9 15 19 20 22 22 20 16 13 14 16 18 21 24 22 22 23 25 25 23 24 26 26 23 21 20 20 20 21 22 23 22 22 22 22 22 23 23 23 22 20 16 12 11 11 12 12 12 13 13 12 12 12 12 12 12 11 9 7 6 6 6 6 6 5 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 10 6 2 0 0 0 0 0 0 2 9 18 24 30 36 37 30 20 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 0 0 0 0 0 1 1 0 0 0 0 0 1 4 14 14 10 8 10 12 12 10 3 0 0 0 0 0 0 0 0 4 12 18 26 36 38 32 24 16 23 30 21 9 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 1 4 8 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 1 0 2 16 34 55 79 96 105 104 97 93 95 93 92 107 122 113 97 106 128 130 121 105 84 68 63 68 63 49 53 67 84 90 93 104 109 107 107 110 119 130 137 145 151 153 155 157 162 153 124 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 6 6 5 6 8 11 13 11 7 6 8 10 10 12 14 15 14 14 15 15 16 17 18 16 16 16 17 18 20 24 27 26 22 24 22 21 23 25 24 24 23 23 23 22 22 22 23 25 25 22 18 14 12 11 11 12 11 12 12 10 10 9 9 8 7 7 7 6 6 6 6 6 6 3 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 7 2 0 0 0 0 0 0 0 0 2 10 18 24 30 30 23 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 1 1 2 2 0 0 0 2 8 13 14 10 10 13 17 19 16 8 2 0 0 0 0 0 0 1 8 16 21 25 31 33 31 27 23 27 30 18 7 6 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 1 3 6 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 14 4 0 1 6 26 36 58 89 108 112 106 98 98 100 101 108 117 121 125 135 140 141 137 126 106 87 75 68 58 48 54 61 66 65 72 83 94 101 102 112 129 134 135 147 164 169 169 166 162 152 137 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 6 5 5 5 5 4 5 8 12 14 11 6 6 6 6 7 10 12 14 14 15 17 17 17 17 16 15 14 13 13 16 19 22 23 24 23 21 18 18 21 25 25 22 22 22 22 20 20 21 22 22 21 19 16 13 10 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 5 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 3 0 0 0 0 0 0 0 0 0 1 4 10 15 22 23 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 0 0 1 1 3 6 6 2 0 0 1 4 11 12 11 13 16 19 21 18 10 2 0 0 0 0 0 0 4 11 18 23 26 29 32 33 30 28 29 27 17 8 6 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 2 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 10 13 5 0 0 2 19 28 40 69 103 122 118 105 98 100 103 106 111 118 127 136 139 139 139 134 124 113 106 95 82 79 80 78 76 75 80 88 97 103 109 126 140 139 139 152 168 175 175 171 164 154 148 152 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 6 5 5 5 4 4 4 5 8 12 11 8 8 8 8 8 10 12 15 14 16 19 22 22 23 22 20 18 17 16 16 16 16 17 18 20 21 19 17 22 27 26 22 21 21 19 17 16 15 14 14 14 14 12 10 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 3 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 4 9 14 16 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 1 0 3 1 3 8 8 4 1 0 0 1 5 5 10 16 19 20 19 12 4 0 0 0 0 0 0 0 4 12 18 23 27 29 33 36 35 34 32 27 18 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 0 0 0 1 3 3 1 0 4 17 32 44 52 71 103 129 135 118 99 98 112 108 109 114 120 130 135 134 135 130 120 115 116 115 116 120 114 103 96 94 95 99 106 115 126 142 150 147 151 163 173 174 172 170 166 162 159 162 167 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 9 8 6 5 5 4 4 3 4 5 6 8 10 11 12 13 13 13 15 17 16 15 20 26 28 29 28 25 23 22 21 17 15 13 13 13 15 17 18 19 23 26 25 20 17 16 14 12 10 8 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 10 12 11 7 2 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 3 4 4 5 5 2 2 4 3 2 1 0 0 0 1 1 10 19 19 16 12 6 1 0 0 0 0 0 0 0 3 9 16 22 26 30 33 39 44 44 41 31 19 12 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 3 8 16 18 12 1 0 4 12 24 19 6 1 9 42 63 78 80 82 95 127 145 133 106 99 111 107 109 112 114 122 129 132 131 122 112 108 112 120 130 137 135 128 119 111 110 115 129 145 158 164 162 156 161 171 171 165 162 164 171 171 167 167 165 nan nan nan nan nan nan nan nan nan nan 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 7 6 5 5 5 4 4 3 4 5 6 9 10 13 16 17 16 17 19 21 22 23 27 29 28 26 24 24 24 22 19 16 14 13 12 11 13 14 15 17 19 20 17 13 10 8 7 6 6 5 5 5 5 5 5 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 11 11 8 4 3 4 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 4 5 5 5 4 4 2 1 0 0 0 0 0 0 3 14 21 18 7 1 1 0 1 1 0 0 0 0 0 1 6 13 19 23 27 31 39 48 54 50 36 21 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 2 5 7 9 15 21 20 22 30 38 31 21 16 18 21 36 68 64 47 33 44 80 99 108 105 91 92 110 130 132 116 109 108 108 113 117 118 120 124 128 127 123 116 110 109 115 125 135 140 142 140 134 132 142 164 186 194 190 178 166 167 169 158 150 147 150 170 171 163 158 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 5 5 4 4 5 5 4 4 3 3 4 5 6 7 10 14 17 17 16 16 18 21 24 26 25 22 21 20 19 19 19 18 16 14 12 10 9 11 13 13 13 14 14 13 10 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 11 9 8 9 12 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 6 6 7 6 3 1 1 1 2 1 0 7 19 22 15 5 2 3 3 4 3 0 0 0 0 0 1 4 10 16 19 22 26 32 42 51 51 39 23 13 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 3 3 1 0 0 0 0 0 1 6 12 14 22 32 39 42 48 55 54 49 51 46 51 55 76 102 100 106 108 119 126 122 124 118 101 93 98 114 126 123 116 112 110 116 122 123 124 123 120 120 122 120 117 114 110 113 122 130 139 146 149 153 167 190 210 213 206 196 178 175 166 146 139 132 136 152 156 149 143 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 2 3 3 4 4 4 4 4 3 2 2 3 4 4 5 6 10 15 18 17 13 10 14 18 22 22 20 18 16 14 12 12 13 13 12 9 7 8 10 11 12 12 12 11 9 6 3 1 1 2 1 1 0 1 2 3 3 3 3 2 2 2 2 2 2 3 3 4 4 4 4 4 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 12 11 12 16 21 17 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 3 7 8 8 8 8 8 6 4 5 5 4 1 3 14 25 22 11 2 2 5 6 6 6 3 1 0 0 0 0 1 5 13 17 18 20 23 29 38 42 37 28 19 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 4 11 10 3 1 0 0 0 1 5 11 20 28 36 40 41 43 44 44 50 56 68 66 70 86 116 113 111 130 148 158 148 136 135 128 112 98 95 104 118 122 116 113 115 119 123 126 127 125 119 116 117 118 121 122 117 115 115 118 131 145 151 160 181 201 214 216 212 202 188 178 162 145 134 124 124 134 138 135 131 123 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 1 1 2 3 3 4 5 5 4 3 3 2 2 3 3 5 7 12 17 18 16 9 9 13 15 16 16 14 12 10 8 9 10 11 10 10 9 8 9 10 11 12 10 9 7 4 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 2 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 12 14 18 25 29 22 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 10 10 8 8 8 8 8 12 12 6 2 10 25 32 22 11 4 5 7 7 7 8 6 2 0 0 0 0 0 1 7 13 15 14 14 16 21 27 29 29 25 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 11 6 3 0 0 0 5 17 29 36 39 40 40 40 42 43 44 51 60 58 66 82 99 108 108 111 128 152 163 158 152 147 141 130 115 103 104 115 123 120 114 114 117 123 127 130 129 123 119 117 118 122 126 124 124 120 117 127 142 154 166 181 193 202 209 210 205 196 174 142 132 135 124 117 121 125 127 125 114 102 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 3 2 1 0 1 2 4 5 5 5 5 4 4 3 3 3 4 5 8 12 17 18 17 15 16 15 15 15 12 10 9 8 9 9 10 10 9 7 6 7 7 8 8 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 4 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 15 20 26 32 33 21 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 9 8 6 7 9 9 12 18 20 13 11 24 40 39 24 17 15 16 11 8 8 9 8 5 0 0 0 0 0 0 0 4 9 7 5 6 7 12 17 21 23 22 14 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 3 14 14 7 5 0 0 0 10 34 48 56 54 44 43 48 52 58 63 74 84 80 73 88 109 112 109 110 122 147 164 164 158 154 154 152 142 123 118 125 132 130 123 116 114 122 127 128 129 127 124 122 121 122 123 123 124 125 124 128 140 158 170 175 174 178 189 200 204 203 183 146 133 142 136 124 121 126 131 131 120 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 4 3 2 1 0 1 3 5 6 6 6 6 5 4 4 4 4 5 7 10 14 18 20 21 21 19 17 16 14 12 11 10 10 10 9 8 6 4 4 4 4 3 3 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 20 28 33 35 29 15 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 2 6 8 8 6 5 8 12 12 14 22 24 20 22 37 43 34 27 24 24 25 22 15 11 10 10 7 0 0 0 0 0 0 0 0 1 0 0 1 1 2 5 8 12 15 13 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 3 12 12 18 15 12 8 11 25 39 62 84 83 70 63 72 78 79 84 94 102 102 91 94 109 113 110 109 117 137 156 162 158 155 160 165 164 153 144 144 142 138 134 126 120 125 129 127 123 125 128 126 122 121 121 121 121 124 128 131 142 163 179 181 175 174 179 185 194 203 198 171 152 157 156 147 137 135 140 142 139 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 8 6 6 6 5 2 2 2 3 5 7 8 8 8 7 6 6 6 6 8 10 13 16 19 20 21 21 19 18 16 15 13 12 11 10 10 10 10 8 7 5 5 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 24 35 38 33 21 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 7 6 6 10 16 14 19 30 30 27 31 37 32 23 20 20 23 25 24 21 15 10 10 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 15 22 40 35 29 28 32 35 39 70 100 102 88 80 82 87 89 94 105 113 112 108 109 108 107 106 104 107 120 142 159 162 157 156 161 170 166 158 156 149 139 130 127 126 129 129 125 119 120 126 127 124 121 121 122 121 123 128 134 144 160 180 194 194 190 185 181 183 195 199 178 154 161 162 154 144 139 138 141 147 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 9 7 8 10 10 8 6 4 3 4 5 7 8 9 9 9 9 9 9 10 11 12 13 16 18 19 20 21 19 18 17 16 15 13 12 12 12 13 12 11 9 7 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 22 36 37 26 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 1 4 6 6 12 17 18 27 37 38 34 35 28 17 7 5 7 11 11 9 15 12 10 10 8 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 12 14 28 48 50 41 36 37 37 37 73 106 110 102 94 94 96 98 103 110 113 108 103 99 96 96 96 96 95 98 116 145 159 160 153 148 153 153 150 150 148 141 131 124 122 122 119 115 112 110 115 124 126 124 120 120 120 121 126 133 142 151 168 192 198 195 186 176 174 181 181 161 137 137 144 141 134 129 124 125 135 149 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 11 9 10 12 14 14 12 8 5 4 4 4 5 7 9 10 11 11 12 13 13 13 13 13 14 16 18 20 21 20 18 17 17 16 14 13 13 14 14 13 12 10 8 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 17 28 29 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 3 4 6 6 10 17 22 30 36 36 32 27 16 9 4 5 5 4 3 5 4 4 5 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 12 22 45 55 44 31 33 39 52 83 107 114 117 112 107 104 103 101 100 96 91 86 81 80 80 84 86 85 84 92 114 136 150 152 144 138 137 138 140 142 143 140 132 122 113 109 105 104 107 112 118 126 125 120 120 118 120 122 128 138 142 151 169 178 179 173 161 156 158 159 152 135 128 131 129 122 115 106 105 113 126 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 7 8 9 12 14 14 14 12 9 8 6 6 5 6 7 9 10 11 13 14 14 14 14 13 13 14 15 18 22 22 21 19 19 18 16 14 13 13 13 13 13 12 10 8 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 16 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 6 5 5 7 13 20 27 29 28 22 13 5 4 5 6 4 1 0 0 0 1 1 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 4 9 10 14 34 51 39 19 21 40 67 93 106 118 123 110 104 102 98 90 82 75 69 65 60 59 60 67 73 74 72 75 86 106 128 142 143 135 131 133 135 138 140 141 138 126 114 110 101 98 102 109 115 124 126 120 119 118 120 121 125 133 136 137 146 157 165 162 147 137 140 154 161 146 133 130 120 104 86 78 81 86 91 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 1 3 6 9 10 11 12 11 11 10 10 8 7 6 6 8 9 10 11 12 13 14 14 15 14 14 13 15 18 21 22 21 20 19 18 16 15 13 12 11 11 11 10 9 7 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 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 1 4 4 3 4 5 7 10 18 27 28 24 17 7 5 6 6 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 3 8 10 12 27 46 37 15 11 29 74 104 112 124 117 92 94 95 91 81 72 62 52 43 44 43 45 51 59 60 59 60 65 77 97 118 133 137 133 131 133 136 137 135 130 125 120 115 101 90 91 101 114 123 127 123 116 114 117 118 121 128 133 134 138 148 156 157 149 143 149 162 155 134 130 132 116 88 62 51 56 60 59 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 0 0 1 2 5 6 6 7 7 8 9 9 9 9 8 8 8 8 9 9 9 11 12 14 15 16 15 14 13 14 16 19 20 20 19 19 19 18 16 15 13 11 11 10 9 8 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 16 25 29 26 20 13 13 10 8 8 8 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 2 8 10 4 0 0 0 1 5 9 13 26 47 48 24 7 15 58 100 124 129 109 85 84 86 82 76 68 57 42 24 23 32 38 42 47 47 45 45 48 54 66 85 106 124 131 131 132 134 135 133 130 128 127 120 102 90 86 94 110 120 127 124 116 114 115 114 116 122 130 134 138 145 153 156 152 153 166 179 144 121 123 134 117 90 65 51 52 54 53 62 nan nan nan nan nan 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 2 2 3 2 2 2 2 4 6 8 9 9 9 9 8 7 7 7 9 11 13 14 15 15 14 13 13 14 15 16 16 17 17 18 18 17 16 14 12 10 10 9 7 6 6 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 3 4 5 7 11 18 24 24 22 19 16 12 10 9 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 12 4 0 0 0 1 5 9 11 20 48 71 44 9 4 23 65 106 120 110 92 84 83 75 67 62 56 43 22 10 20 33 37 39 37 33 31 31 33 40 51 68 90 113 127 132 134 132 131 134 132 129 123 112 100 94 100 107 113 120 121 119 118 117 115 114 118 127 135 137 141 149 155 154 155 170 184 162 142 139 138 124 103 85 74 71 72 71 80 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 1 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 10 10 9 8 7 6 7 8 9 11 13 13 14 13 12 11 11 11 11 12 13 13 14 15 15 15 14 12 10 9 8 6 5 3 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 1 1 0 0 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 10 13 16 16 14 11 9 9 9 8 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 3 7 6 4 3 1 0 1 6 11 12 13 35 78 75 38 10 2 19 54 88 107 108 101 93 76 62 56 53 45 28 13 18 24 30 33 31 27 23 20 17 20 26 36 53 75 103 121 134 136 132 130 129 128 126 121 112 106 103 104 107 110 112 120 130 129 123 119 119 126 138 139 139 146 153 157 164 174 182 182 177 167 151 134 119 106 96 92 96 105 120 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 4 2 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 9 10 10 9 8 7 6 7 8 9 10 10 10 10 10 11 11 11 11 10 9 8 9 10 12 13 13 11 9 8 6 5 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 8 9 9 8 8 8 8 8 7 7 7 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 9 8 6 2 0 0 6 19 20 15 20 51 84 79 40 12 4 16 46 86 111 119 115 95 68 51 47 42 36 28 16 10 15 19 16 18 14 9 5 7 10 16 25 40 62 91 122 141 139 129 126 127 128 126 120 113 107 104 104 103 102 115 134 137 133 130 126 130 138 143 144 147 156 166 174 181 186 190 193 184 162 143 135 127 116 109 115 128 140 139 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 9 9 10 8 6 5 6 7 7 7 6 7 8 10 12 13 13 10 8 6 5 5 7 10 11 11 9 7 6 5 2 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 1 1 0 1 1 0 0 1 3 5 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 15 11 6 1 0 5 18 33 30 19 14 23 55 90 83 46 16 6 16 50 92 120 126 115 86 52 42 38 34 29 11 1 2 4 3 2 1 2 0 1 2 3 6 15 30 56 92 126 141 135 126 130 130 128 123 115 109 105 105 100 94 104 126 138 138 137 133 135 139 146 150 151 155 167 178 185 190 192 194 188 170 155 150 147 140 133 134 140 145 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 8 8 8 8 6 4 5 5 4 3 4 6 8 10 12 13 12 10 7 5 3 3 5 7 8 7 6 6 5 2 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 5 5 5 5 5 5 4 2 0 0 2 4 5 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 8 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 8 18 24 18 10 7 13 26 35 39 34 22 13 14 30 59 87 84 55 25 10 24 65 104 116 116 104 73 54 44 40 37 21 8 1 0 0 0 0 0 0 0 0 0 0 3 11 27 56 95 129 143 136 130 126 124 122 118 111 107 105 101 92 96 120 137 138 137 134 136 138 143 150 152 153 158 168 176 186 190 189 187 179 166 161 158 156 153 152 151 149 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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