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 9 8 6 5 5 5 4 4 4 4 4 3 4 5 6 7 7 7 7 6 5 4 4 5 4 4 4 5 4 4 5 4 4 3 3 2 1 1 1 1 2 1 1 1 2 2 3 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 3 3 3 3 4 4 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 8 8 8 6 5 5 6 6 6 6 6 7 8 7 6 6 6 6 6 6 5 6 5 4 2 1 3 4 5 5 8 9 10 -3 -5 0 2 5 7 3 7 11 9 5 5 4 4 8 9 4 4 6 3 0 5 1 -5 -1 8 12 7 0 -0 8 14 8 -3 -4 1 3 6 5 -0 3 3 -3 -4 -1 0 1 5 10 6 -0 2 3 2 2 2 4 5 3 3 7 21 41 37 16 7 5 3 3 3 3 3 4 3 3 3 3 3 3 3 4 6 7 10 15 21 23 20 15 11 9 8 6 4 2 2 2 2 2 4 4 4 4 3 3 3 2 1 0 0 3 6 7 7 5 4 3 4 3 2 2 4 6 7 6 6 6 7 7 7 6 7 9 9 5 4 4 4 4 4 4 3 3 3 2 3 2 2 3 3 3 4 4 4 4 3 2 2 2 3 4 4 4 4 5 6 7 9 10 9 8 7 6 5 4 4 6 7 5 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 5 4 3 4 7 14 20 15 10 10 11 10 4 0 -4 -6 -10 -4 1 0 4 5 4 5 5 5 3 -2 -8 -8 -5 -3 -2 1 4 6 7 8 8 9 10 12 14 14 14 13 13 11 9 9 9 10 9 9 9 10 11 15 19 20 16 12 9 6 5 8 13 13 9 7 5 5 6 7 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 8 8 8 8 7 6 6 6 5 5 4 3 3 3 3 4 5 6 6 7 6 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 2 2 1 1 2 2 2 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 5 5 5 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 8 7 7 6 6 5 6 6 6 6 7 7 7 6 6 6 6 6 6 6 5 4 2 2 2 4 6 9 9 10 18 14 -1 -0 0 6 11 8 4 4 5 7 9 8 3 5 17 15 7 5 5 2 2 8 4 -0 -0 8 13 8 3 -2 0 10 10 2 -2 2 10 11 7 3 6 8 2 -2 -3 -4 -2 5 11 5 -1 1 2 3 5 7 8 8 7 8 17 34 40 24 8 6 4 3 3 3 3 4 3 3 2 2 2 2 2 3 4 6 7 8 13 18 21 18 14 11 10 8 6 4 2 2 2 2 3 4 4 4 4 3 3 2 1 0 -1 -1 4 7 8 7 5 3 3 4 3 2 3 5 6 6 6 5 5 6 6 7 7 7 8 6 4 4 4 2 2 3 4 3 2 2 2 2 2 3 3 3 3 4 5 4 4 3 2 2 3 3 4 4 4 5 5 6 7 9 10 9 8 7 6 5 5 5 5 6 5 4 3 3 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 5 8 14 17 16 14 13 13 13 11 10 5 3 1 2 3 5 6 5 8 9 6 4 3 2 -1 -0 -0 -1 0 2 5 7 7 6 6 6 7 9 11 11 10 11 10 9 7 7 7 6 6 6 8 10 13 15 14 12 9 6 4 5 8 12 10 7 6 5 5 6 7 7 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 6 6 7 6 6 6 7 7 6 5 4 3 3 3 4 3 4 4 5 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 3 2 2 2 2 3 2 1 1 1 1 1 1 1 1 2 3 3 3 3 4 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 2 3 3 3 3 3 3 3 2 3 3 4 4 4 4 5 4 4 4 4 5 5 4 5 5 4 5 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 4 5 5 5 5 5 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 1 -1 -0 6 12 9 9 11 21 12 1 3 2 8 13 10 5 4 3 3 6 8 3 5 15 14 7 5 6 4 5 11 8 6 5 7 9 7 8 8 5 4 5 6 5 7 12 8 4 6 10 14 9 3 -2 -3 0 4 7 4 1 -0 2 6 8 9 9 9 10 18 32 38 26 10 5 5 4 3 3 3 3 4 3 3 2 2 2 2 2 3 5 5 6 8 11 16 19 17 14 11 10 8 6 4 3 3 2 2 3 4 4 4 3 3 3 2 1 -1 -2 -2 2 7 8 7 6 5 5 5 4 5 6 6 6 6 5 5 5 6 6 7 6 7 7 2 -1 2 3 -0 -2 2 3 3 3 2 3 3 3 3 4 3 4 5 5 5 4 3 2 2 3 3 4 5 5 5 5 6 8 9 9 8 8 7 6 6 5 5 5 5 5 3 2 3 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 3 4 7 12 15 15 12 9 9 7 6 6 6 5 4 4 4 4 5 7 8 6 5 5 7 6 4 3 2 3 4 5 6 7 7 6 6 5 5 5 6 7 8 7 6 5 5 5 4 4 5 7 9 10 10 10 8 6 4 3 5 7 7 7 6 5 4 4 5 6 7 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 5 5 5 6 6 7 7 6 5 5 4 4 4 4 3 3 4 5 6 8 8 8 7 7 7 6 6 6 7 7 7 7 6 6 5 5 5 5 4 3 3 3 3 3 2 2 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 5 5 4 4 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 6 6 7 7 7 7 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 3 2 1 -2 -4 3 11 6 2 5 10 7 3 4 7 4 9 10 5 1 2 2 5 5 2 3 8 9 5 6 6 3 5 6 5 8 8 4 3 5 8 12 15 13 9 6 8 13 14 6 -4 0 10 15 12 3 -4 -3 2 4 4 4 2 3 5 6 8 8 8 12 21 33 39 30 13 6 5 5 4 3 3 4 3 4 3 2 2 2 2 2 3 4 5 5 6 7 9 13 16 17 14 11 10 8 7 5 4 3 3 3 4 4 4 4 3 3 2 2 1 0 -1 0 3 7 9 8 6 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 7 3 -3 -2 0 -0 -1 1 3 3 4 4 4 4 4 4 3 4 5 6 5 4 4 3 3 3 3 3 4 4 5 5 5 7 7 8 8 8 7 7 6 6 6 6 6 5 4 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 5 4 3 2 2 3 4 7 10 11 8 6 5 3 3 4 6 5 4 4 3 4 6 6 4 3 6 6 6 5 4 4 5 5 6 6 6 7 7 7 6 4 3 4 5 5 5 5 4 4 4 5 5 5 7 8 9 9 8 6 5 3 2 3 4 4 5 5 4 3 3 4 6 7 7 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 3 3 3 3 3 3 3 5 6 6 6 5 5 5 5 5 4 4 3 3 3 5 6 7 8 8 8 7 7 7 6 7 7 6 6 6 5 5 4 4 4 3 3 3 3 3 3 2 3 2 2 2 2 1 1 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 5 3 2 1 -1 -5 -1 5 5 2 3 2 1 7 8 7 2 4 10 5 -1 1 5 7 2 -0 1 5 3 3 4 1 1 5 5 -0 5 7 4 3 5 7 9 11 17 17 10 10 10 9 9 1 -0 7 10 10 6 3 5 3 2 3 5 6 5 4 4 6 7 9 21 36 39 30 16 7 5 5 4 4 4 3 3 4 4 3 3 3 3 2 2 3 4 5 5 6 6 8 11 15 16 14 11 9 8 6 4 4 3 3 3 4 4 4 3 3 3 2 2 3 3 2 4 7 7 8 7 6 5 5 5 5 6 5 5 6 5 5 5 5 6 6 6 6 5 6 5 1 -4 -3 4 6 4 3 4 5 5 5 5 4 4 3 5 6 6 5 4 4 3 3 3 3 3 4 4 5 5 5 6 7 7 7 7 6 7 7 7 6 6 6 5 3 2 2 3 4 4 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 3 2 0 -1 -1 -0 1 3 6 7 7 6 5 4 5 6 7 5 3 3 5 8 8 4 1 5 8 8 6 5 5 6 6 6 5 6 7 7 8 7 6 4 3 3 3 4 4 4 5 5 5 5 6 7 8 9 8 8 7 5 3 2 2 2 2 2 2 2 2 2 3 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 3 3 2 2 2 2 3 4 5 5 5 4 4 4 4 4 3 3 3 3 3 4 6 7 7 8 7 7 7 7 6 6 6 6 6 5 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 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 3 2 3 3 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 8 7 6 6 5 5 6 6 6 6 6 5 6 7 7 6 6 5 5 3 2 2 0 -3 -1 5 6 5 7 3 0 11 13 7 4 2 7 4 2 3 8 9 2 2 1 -1 -1 3 3 0 3 12 11 4 2 3 4 3 4 5 7 7 9 10 9 8 4 2 10 14 9 7 7 8 11 12 10 5 5 6 5 6 6 4 3 5 6 12 27 37 28 16 7 4 5 5 4 4 3 3 3 4 3 3 3 2 3 3 3 3 4 5 5 6 6 7 9 12 14 14 12 10 7 6 4 3 3 3 4 4 5 4 3 3 3 3 4 4 5 4 5 6 6 6 7 6 6 6 5 5 4 5 5 5 5 5 5 5 6 6 6 6 5 5 6 4 -2 -4 2 7 6 4 4 6 7 7 5 4 3 4 4 5 5 4 4 4 4 4 3 3 3 4 5 5 5 5 6 7 7 7 6 6 7 7 8 8 8 6 5 3 2 3 3 3 4 4 5 5 6 6 6 6 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 3 1 -2 -2 -2 -3 -1 -0 2 4 5 6 7 7 7 6 8 7 5 5 7 11 13 8 3 6 8 7 6 5 6 6 6 5 4 4 4 6 8 9 7 5 3 3 4 4 5 5 5 6 6 6 6 7 7 8 8 8 7 6 4 2 1 0 1 1 1 1 0 1 2 3 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 nan 3 3 3 3 3 2 1 1 2 2 3 5 5 4 4 4 4 4 4 3 3 3 3 4 4 5 5 6 7 7 7 7 6 5 5 5 5 4 4 3 2 2 2 1 2 1 2 2 2 2 2 2 2 1 2 2 3 3 3 3 3 3 4 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 6 6 6 5 6 6 7 7 7 7 7 8 8 8 9 8 7 6 6 6 5 6 6 6 6 6 5 5 6 7 7 6 6 5 3 3 3 1 0 2 5 5 4 7 5 4 10 8 5 5 5 4 6 6 5 7 5 1 4 5 1 -0 4 3 -1 5 14 10 7 4 3 3 2 1 2 8 7 3 -0 4 5 7 6 4 8 8 8 6 1 9 12 11 8 6 7 6 5 6 5 5 5 6 15 30 29 15 6 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 4 4 5 6 7 7 7 10 12 13 13 11 8 6 5 4 3 4 5 5 5 5 4 3 4 5 5 5 5 4 3 5 5 5 6 6 6 6 5 5 4 4 5 5 6 5 5 5 5 6 7 6 5 5 5 5 3 -3 -4 1 4 4 6 8 9 7 5 3 3 4 4 4 4 4 3 4 5 5 4 4 4 4 4 5 4 5 6 6 7 7 7 6 6 7 8 10 9 7 4 2 2 3 3 4 4 4 5 5 6 6 7 7 7 6 5 5 4 3 3 3 3 3 2 2 2 4 5 5 3 2 1 2 1 0 2 3 3 4 5 6 7 8 7 8 10 8 6 8 12 15 12 9 8 7 6 5 5 5 5 5 4 3 3 3 4 6 9 9 7 4 4 4 5 6 6 6 7 7 7 7 7 7 7 8 8 8 7 5 2 1 1 2 2 2 1 1 1 1 2 3 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 3 3 3 3 2 2 2 1 2 2 3 4 5 5 4 4 4 3 3 3 3 3 4 3 3 4 5 5 5 6 6 6 5 4 4 3 4 4 3 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 3 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 8 9 10 10 11 10 9 8 6 6 6 6 6 6 7 7 6 5 5 6 7 7 6 6 5 4 3 3 3 2 2 3 4 5 7 6 6 9 7 3 3 5 3 7 9 6 6 1 -2 3 6 5 3 4 1 -2 3 9 5 8 6 4 4 3 -1 2 8 9 6 0 -0 1 8 9 4 3 4 6 4 -2 -1 3 7 7 8 10 8 4 4 4 6 6 10 23 32 21 8 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 6 6 7 8 10 11 12 12 10 8 7 6 5 5 6 6 6 5 5 4 5 5 5 6 5 3 2 4 7 7 6 6 5 5 5 5 4 4 4 5 6 5 5 5 5 5 6 6 5 5 5 6 5 2 -2 -2 2 5 8 10 10 7 5 3 4 5 5 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 6 6 7 7 7 7 7 7 8 9 10 8 5 3 2 2 2 3 4 4 4 4 5 6 7 7 7 7 6 5 4 4 2 2 2 2 1 1 2 4 6 5 6 7 6 6 5 4 4 3 3 3 4 5 5 6 6 7 10 10 6 5 8 11 10 10 10 9 7 5 5 4 4 3 3 3 4 4 2 3 6 9 8 6 5 4 5 6 6 7 8 8 8 7 7 6 7 7 8 8 7 5 3 2 2 2 3 2 2 2 2 1 1 2 3 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 3 3 4 3 2 2 2 2 2 2 1 3 4 4 5 5 4 4 3 3 3 3 3 3 2 3 4 4 4 5 5 5 5 4 3 3 2 3 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 3 3 4 3 3 4 4 3 4 4 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 3 3 4 3 3 4 5 5 4 4 5 5 5 5 5 5 6 6 5 6 5 5 5 5 6 6 6 6 6 7 7 8 7 8 9 11 12 13 12 11 10 8 6 6 7 7 6 6 6 7 6 6 5 6 6 7 7 6 5 5 4 4 4 3 3 3 5 7 7 7 8 9 7 9 12 8 3 4 6 7 8 3 0 1 2 6 4 5 5 6 4 2 3 7 5 3 6 5 0 3 6 7 8 5 -3 -3 3 5 5 6 7 7 6 3 -2 1 2 6 10 11 6 4 3 5 6 8 16 29 28 14 6 5 5 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 6 8 8 9 10 11 11 10 9 8 7 7 7 7 6 5 5 5 5 5 6 6 5 3 3 6 11 12 9 7 6 5 5 5 5 4 4 5 5 4 4 4 3 3 3 4 4 3 5 6 6 5 2 -1 2 6 9 11 9 5 3 3 4 6 6 5 5 4 4 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 8 9 8 6 4 2 2 1 2 3 4 4 4 5 6 6 7 7 8 8 7 6 5 3 2 2 1 2 4 6 5 5 4 5 6 6 6 5 5 4 2 2 2 2 3 4 4 4 5 9 10 6 3 4 7 9 10 10 9 8 6 5 4 3 3 2 3 5 7 5 3 4 7 9 8 6 5 4 4 5 6 7 8 9 8 7 7 7 7 7 7 7 5 4 3 2 2 2 3 3 3 3 2 1 0 0 2 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 2 3 3 4 4 3 2 3 3 3 2 1 2 2 3 4 5 5 5 5 4 3 2 2 2 2 2 3 3 4 3 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 5 5 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 7 6 6 6 7 8 7 7 8 10 13 14 14 13 11 10 9 7 6 7 8 7 6 6 6 6 6 6 6 7 7 7 7 6 5 5 5 4 3 3 4 5 6 5 6 6 4 3 9 13 10 6 5 4 5 8 7 6 3 4 7 6 7 11 12 8 3 5 3 2 2 5 5 4 4 4 4 6 5 -2 -1 2 6 8 5 6 7 3 4 1 6 7 11 14 10 5 2 1 5 7 9 19 27 20 9 5 5 4 5 5 5 5 4 4 4 4 3 3 3 4 3 3 4 4 4 4 4 4 5 5 5 5 6 7 8 8 9 10 11 10 10 9 8 7 7 6 6 5 5 6 6 6 5 4 3 3 6 11 15 15 13 11 9 8 7 6 5 5 5 4 3 2 2 1 1 2 3 4 4 4 5 6 5 4 3 3 5 8 9 7 3 1 2 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 6 6 6 6 6 7 7 8 8 6 5 3 1 0 1 2 4 4 5 6 6 6 7 7 8 7 6 5 5 3 2 1 2 6 10 8 4 2 3 3 5 6 6 6 5 4 2 2 3 4 6 6 5 6 8 10 9 6 5 6 8 10 10 9 8 7 5 4 4 4 3 4 6 9 8 8 8 6 8 9 6 5 5 4 4 5 6 7 8 8 8 8 7 6 6 6 6 6 4 3 2 2 3 4 4 4 4 5 4 1 -1 1 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 3 3 4 3 3 3 3 3 3 3 3 2 1 2 2 3 5 5 5 5 4 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 3 3 3 3 4 3 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 5 5 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 9 11 13 14 13 13 12 10 9 8 7 8 8 7 6 6 6 6 6 6 6 7 7 7 6 6 5 5 4 4 4 3 4 3 4 6 5 3 1 0 3 6 6 4 4 3 3 7 11 9 6 6 4 7 10 11 8 6 6 8 3 -1 1 4 3 6 5 2 3 4 6 3 4 5 9 6 5 8 3 -1 -0 3 8 12 14 13 9 5 3 3 5 5 8 18 22 13 6 4 4 4 4 5 5 5 4 4 4 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 8 9 10 11 10 10 8 8 7 6 6 6 5 6 6 6 5 4 3 3 4 6 10 14 16 16 15 13 12 11 10 10 9 7 5 3 2 2 2 3 4 6 7 7 8 8 8 8 9 6 4 5 5 4 1 0 2 4 5 5 6 7 6 6 5 5 5 5 5 5 5 4 4 4 5 4 5 4 3 3 4 5 6 6 5 6 6 7 7 8 7 5 3 0 -1 1 3 4 6 6 6 6 5 5 6 5 5 4 3 2 1 1 6 12 9 5 3 3 3 4 6 7 7 8 7 5 5 7 8 9 9 7 7 6 8 8 8 7 8 9 10 10 10 9 7 6 5 5 5 5 4 5 8 8 7 9 8 8 8 7 5 5 4 4 4 5 6 7 7 7 8 8 7 7 7 7 6 5 3 2 3 3 4 5 5 4 5 5 3 1 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 3 3 3 3 3 3 2 3 3 3 3 3 2 2 1 2 3 4 4 4 5 5 5 4 3 3 2 3 3 3 3 3 4 4 5 5 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 8 10 12 13 13 14 13 11 10 9 8 7 8 9 8 6 5 6 6 5 6 7 7 7 7 6 6 5 4 4 4 3 3 5 5 6 6 7 1 -0 2 4 5 5 2 2 0 -0 5 11 11 6 3 1 7 11 11 7 2 5 10 8 2 1 4 5 6 5 0 -1 3 6 7 6 7 6 1 5 4 4 4 4 5 5 9 8 7 7 5 3 4 6 6 11 20 19 9 4 4 4 4 4 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 6 6 7 8 8 9 10 10 9 8 7 7 7 6 6 6 6 6 5 4 3 2 3 3 3 5 7 9 11 13 13 14 15 16 16 14 13 11 9 7 7 7 7 9 12 15 17 17 15 15 15 12 7 4 3 3 2 1 1 2 3 4 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 4 4 1 -3 -3 2 6 5 5 5 5 6 7 8 10 11 10 5 1 -2 -2 0 4 6 6 4 3 2 3 3 2 -0 0 0 0 2 6 11 8 5 4 4 4 5 7 8 9 9 9 9 9 8 8 8 8 7 6 6 6 7 7 8 8 9 10 11 11 11 9 8 6 6 6 6 5 4 5 5 5 6 7 7 8 6 5 5 4 4 4 5 5 6 7 7 8 8 8 7 7 7 7 6 5 4 3 4 4 5 6 5 5 7 7 5 4 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 4 3 3 4 3 3 3 2 2 2 3 4 3 3 2 2 2 2 2 2 3 5 5 5 5 4 3 3 3 3 3 3 4 5 6 6 5 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 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 4 5 4 5 5 5 5 5 5 6 6 6 6 7 7 7 6 7 7 8 10 11 12 12 13 14 13 12 11 10 8 8 9 9 8 6 5 5 5 5 6 7 8 7 7 7 6 6 4 3 3 3 3 7 11 6 2 5 1 3 8 9 0 2 8 8 0 -2 0 7 11 7 3 0 4 10 14 10 3 3 5 5 5 2 5 9 4 5 3 -0 3 4 5 2 6 4 2 4 2 7 8 6 1 -1 5 7 6 7 6 4 4 5 10 19 24 16 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 4 4 4 5 6 6 6 7 7 8 9 9 8 8 8 7 7 7 6 6 6 5 4 3 3 2 2 2 2 2 3 3 5 5 7 10 11 12 12 13 14 15 16 16 15 16 19 21 20 20 21 22 22 21 18 11 6 5 4 3 2 1 1 2 3 4 5 6 5 6 6 6 6 5 5 5 5 6 6 6 5 4 3 3 5 4 -2 -9 -6 3 6 5 5 5 5 6 8 10 12 13 13 9 3 -2 -4 -2 1 4 3 1 -1 -0 1 -0 -2 -3 -2 -1 3 6 7 6 5 5 4 5 7 9 11 10 9 9 8 7 6 5 5 5 5 6 6 7 7 8 8 8 9 10 11 12 12 11 9 8 8 8 7 5 4 4 4 5 6 6 6 6 5 5 5 4 4 4 4 5 6 6 7 7 8 8 8 8 8 8 7 7 6 4 5 5 6 7 6 8 12 18 17 8 2 1 -0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 7 7 6 5 5 5 4 3 3 3 3 2 3 3 4 4 3 2 2 2 2 1 1 2 3 3 4 5 5 4 4 4 3 3 3 4 5 6 6 6 5 4 4 4 4 3 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 3 2 2 3 3 3 3 4 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 10 10 11 11 11 13 15 14 12 11 10 9 9 10 10 8 6 5 5 5 6 7 8 8 7 8 8 6 5 4 4 3 2 3 8 12 6 2 3 1 8 6 6 -2 2 11 9 2 -2 -2 5 11 9 5 2 3 10 15 12 9 8 2 -3 1 5 7 10 5 6 7 4 6 6 5 2 4 5 8 5 6 9 6 1 -2 3 5 7 9 9 6 4 4 5 13 24 23 12 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 4 4 4 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 5 4 3 3 2 2 2 2 2 2 1 2 2 3 3 4 5 6 6 7 9 12 16 18 19 20 20 20 17 15 14 14 15 16 14 8 6 6 5 4 3 2 2 2 3 4 5 5 5 5 4 5 6 5 2 3 6 6 6 6 6 5 4 4 7 9 7 0 -5 -0 6 6 6 6 5 5 6 7 9 12 14 15 12 5 -2 -6 -6 -1 2 1 -2 -1 0 1 -1 -1 -1 -0 4 6 5 4 5 6 5 5 7 11 14 12 9 8 7 4 4 4 5 5 5 5 6 7 7 7 7 7 7 8 9 10 11 11 11 10 10 10 8 6 5 4 4 4 4 6 6 5 5 3 3 3 3 4 4 4 5 6 6 6 7 8 8 8 8 7 7 7 7 6 6 7 7 7 8 10 17 28 25 9 3 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 nan nan nan
nan nan nan nan nan 4 6 7 8 7 6 6 6 4 3 4 4 4 3 3 4 4 4 4 3 3 2 1 1 1 1 1 2 4 5 5 5 5 4 4 4 4 5 6 7 7 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 2 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 6 6 6 7 7 7 8 10 10 11 12 11 12 13 15 15 13 11 9 9 10 10 10 8 6 4 4 5 6 7 8 8 6 7 8 7 5 4 4 2 1 3 7 9 5 7 4 6 10 2 -3 2 4 11 9 6 4 1 4 7 6 9 11 7 7 13 15 14 12 6 1 3 6 5 7 9 8 6 6 6 8 9 5 3 7 10 6 10 12 10 2 4 7 7 6 9 10 7 5 5 6 16 25 17 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 2 2 1 1 1 1 1 2 2 2 2 2 3 3 3 4 5 7 9 10 13 13 11 9 9 9 7 6 7 8 8 6 6 6 6 5 4 4 2 2 3 4 4 4 6 6 3 1 4 4 -1 -3 1 5 6 6 6 6 5 5 8 12 11 7 6 3 5 6 6 6 5 5 4 4 5 7 9 12 14 12 7 -1 -7 -7 -3 -1 -2 -1 1 1 1 2 3 3 4 5 5 5 6 6 5 4 5 10 15 14 10 9 7 6 5 5 5 6 5 5 5 6 6 6 5 5 5 6 7 8 9 10 10 11 11 11 10 8 6 4 4 3 3 4 4 4 4 2 1 2 2 3 5 4 4 5 5 5 6 6 7 8 7 7 6 6 7 8 8 9 10 9 8 7 15 23 18 9 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 5 7 7 7 6 6 6 5 5 5 5 4 3 3 3 3 4 5 5 4 3 2 2 2 1 1 1 2 3 4 4 4 5 5 5 5 5 6 7 7 6 5 4 4 4 4 3 2 2 3 3 3 3 3 4 3 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 4 3 4 3 3 3 4 3 4 3 4 4 3 3 4 4 3 2 3 3 4 4 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 6 6 7 7 8 9 11 12 12 13 13 12 14 15 15 13 11 9 9 10 10 10 7 5 4 4 5 7 8 8 8 8 8 9 7 5 4 4 1 1 3 7 7 6 9 6 10 8 6 1 10 5 8 11 14 13 6 2 3 4 9 10 5 3 10 15 14 11 5 3 8 7 -0 3 9 8 5 5 5 8 9 4 3 8 9 9 12 12 12 6 9 7 6 7 8 8 6 5 7 11 21 23 12 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 1 1 2 2 2 3 3 3 2 3 3 4 4 4 4 4 5 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 5 5 5 4 4 4 4 5 5 6 7 7 4 5 7 3 -5 -7 -1 4 5 5 5 5 6 8 12 13 8 6 6 5 6 6 6 5 4 2 0 0 1 2 2 4 9 10 6 -1 -5 -5 -2 -0 -0 0 1 2 2 3 4 3 4 5 6 7 7 5 4 3 3 9 12 10 9 8 7 4 5 6 5 5 5 5 5 6 4 4 4 4 4 5 6 6 7 8 10 10 11 11 10 8 6 5 4 3 2 3 3 3 1 1 1 2 3 5 6 5 5 5 5 5 5 5 6 6 5 5 5 6 8 10 12 13 11 5 4 12 15 9 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 5 5 4 5 6 7 6 6 6 6 5 3 3 2 2 2 4 5 6 5 3 3 3 2 1 0 1 1 2 3 4 4 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 3 3 3 3 2 3 4 4 3 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 3 3 3 3 4 4 3 3 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 7 7 7 9 10 12 14 14 14 13 13 14 15 16 13 10 9 9 11 10 9 6 4 4 4 5 7 8 8 9 9 9 8 6 5 5 3 1 1 4 7 6 6 8 8 7 4 9 11 14 6 6 12 16 15 11 2 1 3 2 1 -1 1 7 12 13 10 1 -2 4 4 -1 0 3 7 9 5 3 8 8 2 4 7 7 9 10 9 8 9 10 6 3 6 6 5 6 6 8 16 25 20 9 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 5 5 4 3 3 2 3 2 2 2 2 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 7 10 10 9 11 10 3 -4 -7 -4 -0 1 2 3 5 7 8 11 8 3 3 4 4 5 5 4 2 0 -2 -4 -3 -2 -4 -5 -0 5 7 5 3 2 3 2 -0 -1 2 3 2 2 2 2 2 4 6 8 8 6 6 5 0 3 8 7 7 8 6 4 4 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 6 7 9 11 11 10 9 7 5 4 4 4 3 2 1 1 2 3 3 4 6 7 6 6 5 5 4 5 5 5 5 4 3 5 7 11 14 14 11 5 5 8 8 8 5 3 4 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 3 3 4 4 3 1 2 5 6 6 7 8 8 8 6 3 2 2 1 2 4 5 6 6 5 4 4 2 1 1 1 2 2 3 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 3 3 2 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 2 3 3 3 3 3 4 3 3 4 4 3 3 4 4 3 4 4 4 5 5 5 4 5 5 4 4 5 5 5 5 5 5 6 7 7 7 9 11 13 14 15 14 13 14 15 15 14 12 9 9 10 10 10 8 5 4 4 4 6 7 8 8 9 9 9 7 6 5 4 3 1 2 5 6 6 8 8 6 1 3 4 6 4 7 4 8 9 9 12 4 4 2 -2 -1 -3 1 5 7 11 14 5 -2 2 4 3 -0 -2 3 9 4 -1 1 4 5 5 6 6 9 9 4 3 8 8 3 1 4 6 5 5 6 8 18 25 17 7 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 4 4 4 4 5 5 6 6 6 6 5 5 4 3 3 3 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 5 4 3 3 5 7 8 10 10 7 2 -6 -9 -6 -6 -4 -3 1 6 6 7 5 3 4 3 2 2 2 1 -0 -1 -1 -3 -3 -1 -1 -3 -2 3 6 7 7 6 6 5 2 2 4 4 4 4 4 5 5 5 6 7 6 5 6 5 4 5 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 2 2 3 4 4 5 6 8 10 11 11 9 7 5 5 5 4 3 2 2 3 4 4 4 4 5 7 7 6 5 5 5 5 5 5 4 4 4 6 10 13 13 10 6 4 4 4 6 5 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 4 4 4 4 2 1 2 4 5 5 6 7 9 11 10 7 4 2 1 1 2 2 4 6 7 6 5 4 3 2 2 3 3 4 4 5 5 5 5 5 5 5 6 7 8 7 7 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 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 3 3 3 3 3 4 4 3 4 3 4 3 3 4 4 4 4 4 4 4 5 4 4 5 4 4 5 5 5 4 5 5 5 6 7 7 8 9 11 13 14 14 15 14 15 16 15 13 11 9 8 9 9 8 7 5 3 5 6 7 8 8 8 8 8 8 7 6 5 4 2 0 3 6 8 8 9 9 2 -3 2 1 7 5 6 1 4 1 -1 6 7 9 5 1 0 -2 2 2 0 5 17 17 7 2 4 6 3 -2 0 4 1 -2 -1 2 6 5 5 5 8 9 3 1 5 3 2 6 6 6 6 5 7 8 20 25 14 6 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 4 3 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 5 6 5 4 4 4 3 3 3 4 5 4 5 5 5 4 5 5 5 6 6 7 7 8 7 7 6 5 3 1 1 3 5 7 8 6 2 -0 -3 -4 -4 -5 -7 -6 -1 3 5 5 4 4 4 3 1 -0 0 0 0 2 2 2 3 4 4 3 3 4 5 5 6 6 6 5 6 7 5 6 10 12 11 9 7 7 8 5 3 4 4 4 6 7 7 6 6 6 5 6 6 5 5 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 4 5 6 8 10 11 11 10 8 6 5 6 4 3 3 4 4 4 4 4 4 6 6 6 6 5 5 5 5 6 5 5 5 6 8 11 12 9 6 4 2 3 4 5 4 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 3 2 1 1 3 3 3 3 5 7 10 13 12 8 4 3 2 1 1 3 4 6 7 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 7 8 8 8 7 6 6 5 5 5 5 5 3 3 3 3 3 3 3 2 3 3 2 3 3 3 3 3 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 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 5 6 7 7 8 9 11 13 15 16 16 17 17 16 14 12 10 8 8 8 8 7 6 4 4 5 7 8 9 8 8 8 8 8 7 6 5 4 1 -0 3 6 8 8 8 8 1 -3 -0 3 11 20 13 3 3 1 -1 -2 10 14 10 6 6 3 2 -2 -5 0 13 19 11 3 3 6 4 3 3 1 1 3 4 4 4 3 4 3 4 7 9 5 2 0 3 11 8 6 5 5 7 8 20 24 12 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 6 5 5 5 6 5 5 5 5 6 5 5 6 5 5 5 5 4 3 3 3 4 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 6 6 5 3 3 3 5 7 9 8 5 4 3 2 2 0 -3 -8 -9 -5 0 3 4 4 5 5 3 3 5 5 4 4 5 6 6 5 6 5 5 4 4 4 4 5 5 5 7 9 7 8 13 16 15 11 7 7 9 6 3 3 4 4 4 6 8 8 6 5 5 6 6 5 4 4 4 4 4 4 3 4 3 3 2 2 2 1 2 2 3 4 5 6 8 10 11 12 11 8 6 7 6 5 4 4 4 5 4 4 5 5 6 6 6 5 5 5 5 6 6 5 5 5 6 8 10 9 7 4 3 4 4 3 3 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 2 2 2 3 3 3 2 2 2 4 7 11 13 11 8 6 4 3 3 3 3 4 5 5 6 6 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 8 8 7 6 5 4 5 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 5 6 7 7 7 9 12 16 18 17 17 17 17 15 12 11 9 8 7 7 8 6 5 4 5 7 9 9 10 9 9 9 8 7 6 5 5 3 0 -1 2 5 5 5 5 7 5 1 2 6 11 20 15 8 4 5 5 -2 10 14 11 10 13 10 3 -4 -6 -1 7 9 7 2 3 6 4 6 6 2 2 6 8 6 3 5 6 4 4 7 13 11 3 2 5 8 6 5 5 4 6 9 18 24 13 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 4 4 5 5 5 5 4 5 5 5 6 6 6 6 7 6 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 5 6 6 6 7 7 6 6 6 6 5 6 7 8 10 12 11 7 4 4 4 5 4 -0 -5 -9 -7 -1 1 2 3 4 5 6 7 6 6 5 5 6 6 5 6 5 5 6 5 3 4 7 6 3 6 9 10 11 11 12 11 9 7 6 7 6 4 4 4 4 4 5 8 10 8 6 5 6 6 5 4 4 4 4 4 3 3 3 3 3 2 2 3 2 2 2 3 3 3 4 7 8 10 11 12 11 9 9 8 5 4 4 5 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 7 9 9 8 6 5 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 nan
nan nan nan 3 3 2 2 2 2 3 3 3 2 2 1 2 3 4 7 10 11 9 7 6 6 6 5 5 3 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 6 6 5 4 5 6 7 7 6 6 5 4 4 5 6 6 5 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 5 6 7 7 7 11 16 19 17 16 16 15 14 12 10 9 8 7 7 7 7 6 5 5 6 9 11 11 9 9 9 9 8 6 5 5 5 2 -1 -0 2 3 6 7 3 4 4 3 5 7 7 8 8 7 2 3 8 4 6 6 7 14 13 11 4 -1 -2 1 5 4 2 3 6 6 3 4 6 5 3 4 9 9 6 8 8 7 5 5 10 9 4 5 6 4 4 4 4 4 5 11 19 22 13 6 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 6 7 7 7 7 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 4 3 3 4 3 3 3 3 4 5 6 6 5 6 6 6 6 6 6 6 7 8 10 13 15 11 7 6 5 4 5 5 3 -2 -6 -5 -3 -3 -1 1 2 1 2 4 5 5 6 5 5 6 6 5 6 8 8 5 4 8 8 4 6 10 11 11 10 9 8 7 6 6 6 6 5 5 5 5 4 5 7 9 10 8 6 6 6 4 3 3 4 4 3 3 3 2 2 2 3 3 3 3 3 3 4 4 1 2 5 6 8 10 12 12 12 10 8 6 4 4 5 6 6 6 5 5 5 5 5 5 6 6 7 7 7 7 6 5 5 7 9 10 9 8 7 5 5 4 4 5 5 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 2 3 3 3 3 2 1 1 2 2 2 3 4 6 8 8 7 6 7 7 8 7 5 5 4 4 4 5 5 5 6 6 5 5 5 6 7 7 8 8 7 6 5 5 6 6 6 6 5 4 3 4 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 6 6 5 4 4 4 4 4 5 6 5 4 4 5 6 7 7 9 15 22 18 12 11 12 12 11 9 8 7 7 7 7 7 7 6 6 7 8 10 12 11 9 9 9 9 6 4 4 5 4 0 -0 2 2 3 10 12 4 1 2 6 6 6 5 4 6 5 0 3 8 8 5 1 3 11 7 5 4 5 5 3 6 4 2 9 12 7 3 4 6 7 5 5 10 11 8 7 9 11 7 5 10 8 5 6 6 4 3 3 3 4 5 9 20 24 14 6 5 5 4 5 5 4 5 4 4 5 5 4 5 4 4 4 5 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 4 4 4 5 5 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 5 6 5 5 5 5 5 5 5 5 5 6 8 10 13 15 16 14 11 7 5 4 5 5 2 -2 -2 -2 -1 0 0 -1 -1 2 4 6 7 6 6 6 6 6 6 9 11 9 6 7 9 7 7 10 11 10 9 8 7 6 6 6 6 6 6 6 5 5 5 5 5 8 11 9 7 6 6 4 3 3 3 3 3 2 2 2 2 2 3 3 4 5 5 4 4 6 3 1 4 4 6 9 11 12 12 11 9 7 5 4 5 8 9 7 6 6 6 5 5 5 5 6 7 8 8 8 7 6 6 7 9 9 9 8 8 8 6 6 6 7 7 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 3 3 3 3 4 3 3 2 2 1 2 2 1 2 3 4 6 6 4 4 5 6 7 8 8 7 6 6 5 4 4 4 4 5 5 4 4 5 6 7 8 9 9 8 7 7 6 6 6 6 6 5 4 4 5 5 6 6 5 4 4 4 4 4 4 4 4 3 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 3 3 4 4 4 3 4 4 4 4 5 5 5 5 4 4 4 5 4 4 4 4 5 5 6 5 4 3 4 4 5 6 6 5 4 4 5 7 8 8 12 24 28 11 1 5 8 9 8 8 7 6 6 6 6 6 6 6 7 8 10 11 11 9 9 9 9 8 5 3 4 4 2 -0 2 3 1 6 10 14 8 2 2 6 4 4 4 6 8 6 4 6 7 9 6 2 3 5 2 3 4 6 7 6 6 3 3 7 8 7 6 6 7 8 9 9 10 10 6 4 8 11 7 5 12 11 6 8 4 4 4 2 2 3 3 5 16 26 18 8 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 5 6 6 7 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 5 5 4 5 5 5 4 4 4 3 3 4 3 3 4 4 3 3 2 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 7 8 13 16 17 16 14 10 8 8 9 7 6 5 4 3 4 5 4 3 5 5 5 7 7 6 7 7 6 7 12 13 11 9 8 8 8 8 9 9 8 7 7 6 6 6 6 5 5 5 5 5 6 6 5 5 7 9 9 7 7 6 5 4 3 2 2 3 3 2 2 2 3 3 3 5 6 6 5 4 4 4 2 3 3 4 6 8 12 13 13 12 9 6 5 6 8 10 9 7 7 7 6 5 5 5 6 7 8 9 8 7 7 7 8 8 7 6 7 9 9 9 8 7 7 8 9 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 3 3 3 4 4 4 4 3 2 2 2 1 1 2 2 3 4 4 3 2 3 4 5 6 7 6 6 6 6 5 5 4 4 4 4 4 3 3 4 5 6 8 9 9 9 9 8 8 8 8 8 7 6 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 2 3 3 3 3 3 2 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 5 5 5 6 6 4 4 4 4 5 6 6 5 4 5 6 8 9 10 17 28 20 -2 -6 1 4 5 8 8 7 5 5 5 5 4 5 6 8 10 11 11 10 9 9 9 9 6 3 2 2 1 1 3 5 5 2 4 5 11 12 6 4 5 4 3 1 4 6 4 5 5 5 6 6 3 1 -0 3 4 5 5 7 11 8 3 1 2 1 4 7 6 4 6 10 11 9 6 5 4 4 4 2 5 12 11 7 9 7 5 4 1 1 3 3 4 12 25 23 10 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 6 6 6 6 6 6 6 5 5 5 4 4 4 3 4 4 4 3 3 3 4 3 3 3 4 3 4 5 5 5 5 5 4 5 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 8 11 14 15 15 14 13 13 13 14 14 10 6 6 8 7 6 8 10 8 7 11 11 9 11 9 8 11 12 9 7 6 6 6 7 7 6 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 8 7 6 6 6 5 4 3 2 2 2 2 2 3 3 3 4 5 6 6 6 4 3 2 2 2 2 3 4 6 10 14 16 14 11 8 6 6 9 10 8 7 7 7 6 6 6 5 5 6 7 8 8 8 7 7 8 7 6 5 7 8 9 10 10 8 7 7 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 3 4 4 3 3 2 3 4 5 5 5 5 6 6 6 5 4 4 4 4 4 3 2 2 3 4 6 7 9 9 10 10 10 10 10 9 9 9 8 6 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 4 3 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 4 5 4 4 4 5 5 4 4 4 5 5 6 6 4 4 4 4 5 6 6 5 5 5 6 9 12 13 19 22 6 -7 -5 1 0 2 6 8 7 6 5 5 4 3 4 6 9 11 12 10 9 8 9 9 8 5 2 1 0 1 3 6 6 7 7 3 2 7 10 9 8 6 5 3 1 2 4 4 4 4 3 3 5 3 -1 1 6 6 5 5 7 11 11 11 6 2 -0 -0 7 6 4 5 7 8 6 3 5 6 4 -0 -3 4 12 13 11 11 11 7 4 1 1 4 5 4 12 23 24 11 6 5 5 4 3 4 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 5 5 5 5 5 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 5 4 4 4 4 4 3 3 4 4 3 3 3 2 2 2 2 3 4 4 5 5 5 5 5 5 5 4 4 5 4 4 5 4 4 4 6 9 11 13 12 12 11 13 15 16 13 9 10 9 9 10 12 12 12 14 15 14 14 12 8 7 8 6 4 3 5 5 6 5 4 3 2 2 2 2 2 3 3 3 3 4 4 5 6 7 6 6 6 7 7 6 6 5 5 5 4 3 2 2 2 2 3 3 3 4 4 4 5 6 5 3 2 2 2 2 3 4 5 8 12 16 18 15 9 6 7 9 9 8 6 6 7 7 7 6 5 5 6 6 7 7 8 8 8 7 6 6 5 6 7 9 11 10 8 6 6 8 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 5 5 4 4 4 4 4 4 5 5 5 4 4 3 3 4 3 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 3 2 1 2 4 5 6 8 9 10 11 11 10 11 11 11 10 8 6 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 4 4 5 6 6 6 6 5 6 7 10 13 16 19 16 1 -4 2 3 -2 -2 3 8 8 6 4 4 4 4 4 6 8 10 11 10 9 8 9 9 6 3 0 -1 0 3 6 7 4 6 10 6 7 4 4 7 8 8 9 7 2 2 5 6 8 6 2 3 7 5 2 8 9 7 6 6 6 7 10 14 12 8 4 0 5 6 7 5 0 3 3 2 6 8 9 4 -1 3 10 14 16 13 11 6 3 -1 1 6 8 4 13 24 21 12 6 5 5 4 4 4 4 5 5 5 5 5 5 4 4 5 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 3 4 4 4 3 3 3 3 2 2 2 2 2 4 4 4 5 5 5 5 5 5 4 4 5 5 4 4 4 3 2 3 3 5 7 8 6 5 4 6 10 13 14 13 12 11 9 9 9 10 9 10 11 11 11 9 7 6 5 4 4 4 5 5 4 3 3 2 2 1 2 2 3 3 3 3 3 3 4 5 6 6 6 6 7 7 7 6 5 5 5 5 5 3 3 2 2 2 3 3 4 3 4 4 4 4 3 2 3 2 3 3 4 5 6 9 15 20 18 11 7 7 7 8 9 8 6 6 8 7 7 6 6 6 6 6 7 7 7 7 7 6 5 5 5 7 8 10 10 8 6 5 7 11 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 4 4 4 3 4 4 4 5 6 6 5 5 5 5 5 5 4 5 6 5 4 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 4 3 2 1 2 3 4 5 6 8 9 10 10 11 11 11 11 9 7 6 5 5 5 4 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 5 5 5 7 7 5 4 5 5 6 7 6 6 6 7 8 12 16 20 21 14 -4 -2 9 1 -6 -6 -0 7 8 6 4 3 5 6 5 6 7 9 10 9 8 9 9 8 5 2 -1 -1 1 5 8 8 0 2 11 10 10 2 2 1 2 9 12 9 4 2 2 5 7 6 4 6 8 6 7 10 9 7 7 5 3 4 7 7 9 13 12 4 3 4 7 6 1 1 3 7 7 6 12 9 4 4 5 11 19 15 10 5 2 -3 -2 8 16 9 14 27 19 10 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 4 5 4 4 4 3 3 3 3 2 2 2 2 2 3 4 4 4 5 5 5 5 5 4 4 5 5 4 3 3 3 3 3 3 3 5 5 4 3 2 2 3 5 8 9 10 8 6 5 4 4 4 5 5 6 8 8 8 7 6 5 4 4 5 5 4 3 3 2 2 3 3 3 4 4 4 3 3 3 4 5 6 6 7 6 6 7 7 7 6 5 5 6 6 5 4 3 3 3 2 2 2 2 3 3 3 2 3 3 3 3 3 4 4 5 6 7 13 18 18 14 10 7 6 7 9 7 6 7 8 8 8 7 6 6 6 6 7 7 7 7 7 7 5 5 5 5 8 9 9 7 5 5 6 11 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 4 3 3 3 3 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 7 6 5 4 3 3 4 5 5 4 4 4 4 5 6 6 7 7 6 5 3 2 1 1 2 3 4 6 7 8 9 10 10 10 9 8 7 6 6 6 5 5 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 4 4 3 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 7 7 5 4 5 6 6 7 7 6 7 8 10 14 20 25 25 14 -3 -1 3 -8 -10 -7 -0 8 10 8 6 4 5 6 6 6 7 7 8 8 9 9 9 8 4 1 -1 0 3 6 9 7 -1 3 8 4 3 1 1 -0 2 7 9 8 7 5 5 8 6 3 3 6 6 7 10 10 7 7 6 2 1 3 6 3 1 9 13 6 1 -0 3 8 8 6 7 11 5 1 8 11 10 8 6 10 20 21 12 6 1 -7 -5 10 20 13 15 28 21 9 6 5 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 2 2 3 3 4 4 4 4 4 5 5 4 4 4 5 5 4 3 3 4 4 4 4 4 4 4 5 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 5 5 7 8 9 9 8 6 5 4 5 5 3 3 3 3 3 4 4 4 5 5 5 4 3 4 4 4 4 5 6 7 6 6 7 8 7 6 5 6 7 6 5 4 3 3 2 1 1 1 1 2 2 2 2 3 3 4 3 4 4 4 5 7 10 15 17 15 10 6 5 6 7 6 6 8 8 8 7 6 6 6 5 6 6 6 6 7 7 6 6 6 5 5 7 8 8 5 5 6 7 9 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 3 2 2 2 2 2 3 3 4 5 6 6 6 6 6 7 7 7 7 7 8 7 5 3 3 3 5 5 5 4 4 4 4 4 5 6 7 8 8 6 4 2 0 0 1 2 4 6 7 8 8 8 8 7 6 5 5 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 5 6 7 6 5 5 6 6 7 7 7 7 8 10 13 18 23 26 25 18 6 -3 -10 -15 -10 -3 3 9 12 11 8 6 5 7 7 6 7 8 8 8 9 9 9 5 1 -1 0 3 4 5 7 4 -3 2 5 -0 -1 4 2 5 7 4 4 5 5 8 11 14 6 1 2 5 6 9 11 8 7 9 7 2 1 3 5 2 -2 2 5 5 2 -4 -0 13 14 7 8 8 0 0 3 6 11 16 15 12 20 26 14 5 -2 -8 -2 11 16 11 15 28 22 8 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 3 3 4 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 4 4 4 4 5 5 7 8 10 10 9 7 5 4 4 4 3 3 3 3 4 4 4 5 6 6 6 5 4 4 3 3 3 4 6 7 7 7 7 8 7 7 6 7 7 6 5 4 4 2 1 1 0 0 0 1 2 2 2 3 4 4 4 4 4 4 5 7 8 12 15 15 12 7 5 5 6 5 6 7 8 8 7 7 6 6 5 4 5 6 6 6 6 7 8 9 7 6 6 7 6 5 5 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 8 8 6 5 3 3 2 2 2 3 3 4 5 6 6 6 5 6 6 7 8 8 7 8 7 6 4 3 3 4 5 5 5 4 3 3 3 3 5 6 7 8 8 7 5 3 1 0 1 2 5 6 7 7 7 7 6 5 4 4 4 4 4 3 3 3 3 3 4 5 5 5 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 6 7 6 6 5 6 7 7 8 8 8 10 15 19 21 18 18 22 15 9 -4 -15 -14 -4 4 8 12 14 13 10 7 5 7 8 8 8 9 9 8 8 9 8 2 -4 -3 3 6 5 5 7 7 4 2 1 1 3 2 2 9 13 5 0 1 4 9 9 9 3 3 4 6 9 12 11 7 5 6 7 7 6 5 4 2 2 2 -1 1 3 -4 0 16 17 6 6 3 -4 3 5 4 7 12 14 13 24 29 16 4 -4 -7 2 10 8 8 15 30 23 8 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 4 3 3 3 3 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 5 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 4 5 5 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 5 5 7 8 10 10 9 7 6 5 5 4 3 3 3 3 4 4 5 5 6 6 6 5 4 4 3 3 3 3 4 6 7 7 7 7 7 7 7 7 6 5 4 4 4 3 2 0 0 1 1 3 3 3 3 4 4 5 4 4 4 4 5 6 7 10 12 15 14 10 6 6 6 5 6 6 6 7 7 7 7 6 5 4 4 5 4 5 5 6 9 10 9 7 6 6 5 4 5 8 9 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 7 7 7 6 5 4 4 4 4 3 4 5 6 7 7 6 5 5 5 6 7 8 7 7 7 7 5 3 3 3 4 5 5 4 4 3 2 3 3 4 5 7 8 8 7 6 4 1 1 1 3 4 6 6 6 7 7 6 5 4 3 3 3 3 2 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 9 10 15 23 24 19 9 6 16 11 3 -10 -12 -4 4 9 11 13 14 14 12 9 7 8 9 8 9 10 10 9 9 8 5 -2 -6 -2 4 6 5 6 7 10 13 10 5 4 3 -1 0 10 16 8 2 2 6 13 10 4 5 5 5 7 12 14 12 8 4 1 6 10 10 8 8 8 8 5 1 3 5 1 3 15 15 4 3 2 -3 5 7 4 3 6 9 15 28 30 16 4 -3 -5 3 8 6 5 13 30 26 8 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 5 5 5 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 5 6 6 6 5 5 6 8 9 10 8 7 6 5 5 4 4 4 4 4 5 5 6 6 5 5 5 5 6 7 4 1 3 3 4 5 7 7 7 7 6 7 7 8 7 6 4 4 4 3 2 0 0 2 3 4 5 5 4 5 5 4 4 4 4 4 5 5 7 7 10 14 15 14 10 7 6 5 5 4 5 6 6 7 8 7 6 4 4 4 3 4 4 4 6 8 9 8 5 4 4 5 7 10 14 13 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 6 6 6 6 6 5 4 4 4 6 7 7 7 5 5 4 5 6 7 7 8 8 7 6 4 3 3 4 4 5 4 4 3 3 3 3 3 4 5 6 7 8 8 6 4 2 1 1 2 4 5 5 6 7 7 6 5 4 3 2 2 2 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 5 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 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 9 10 14 22 25 19 11 5 1 7 6 -11 -15 -4 6 9 11 12 12 13 13 12 10 9 9 9 9 9 11 11 10 8 6 2 -4 -5 -0 5 7 6 8 9 6 3 4 7 6 3 -1 1 9 15 13 10 8 10 11 9 3 4 5 5 8 13 13 11 10 5 1 5 9 7 8 10 12 11 5 2 7 9 4 3 12 9 1 -2 -0 -1 5 4 1 3 7 7 17 31 29 13 2 -2 -0 6 9 7 5 11 25 25 9 5 5 5 4 4 4 4 3 4 4 4 4 5 5 5 5 4 3 3 3 4 6 6 6 5 4 3 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 6 6 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 6 6 5 5 5 5 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 2 3 3 4 4 6 8 8 6 5 6 8 8 9 8 7 6 5 5 4 4 4 4 6 6 6 6 5 5 5 4 4 7 9 5 1 3 3 4 5 7 7 7 7 6 6 7 7 7 7 7 5 5 4 3 2 1 3 4 5 6 5 4 4 4 4 4 4 4 5 5 5 6 7 9 11 13 14 12 10 7 5 3 3 4 4 6 7 8 8 6 5 5 4 3 3 4 4 3 5 7 6 4 4 5 7 9 12 16 17 14 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 5 5 6 5 6 5 4 3 4 5 6 7 7 6 5 4 4 5 6 7 8 8 7 6 5 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 5 7 7 8 7 5 3 2 2 2 3 4 5 5 6 6 5 4 3 2 2 2 3 3 4 3 3 4 4 4 5 5 5 6 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 3 4 4 4 4 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 8 10 11 13 17 23 20 9 5 7 4 -1 -5 -15 -6 5 9 9 9 10 11 11 10 10 11 11 11 10 9 10 11 11 10 7 1 -1 -2 -1 2 4 10 11 8 11 9 3 -0 -3 -1 1 3 5 9 14 17 15 12 10 6 3 -1 2 8 10 10 13 11 8 10 8 8 10 7 4 4 5 6 7 4 4 10 11 3 2 10 8 1 -1 -3 -1 7 7 5 4 4 4 18 33 27 11 0 -1 4 9 11 9 8 13 23 20 9 5 5 5 5 4 4 4 3 4 4 4 4 4 5 5 5 4 2 2 3 5 5 6 6 6 5 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 4 5 5 5 6 6 5 5 5 5 5 5 5 4 5 5 4 4 4 5 6 7 6 6 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 3 4 5 7 10 10 7 6 6 7 8 8 8 7 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 6 8 8 5 3 4 3 4 4 6 8 8 7 6 6 6 7 7 8 10 7 5 6 6 5 4 6 7 5 5 5 4 4 3 3 3 3 4 5 5 5 5 6 8 9 11 12 12 11 8 5 3 2 2 2 4 6 8 7 6 5 5 4 4 4 5 4 3 4 5 4 4 5 8 9 8 10 14 16 16 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 5 5 4 4 3 3 3 3 3 4 5 6 6 5 4 3 4 5 6 7 7 7 7 7 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 7 8 8 7 4 2 2 2 3 3 4 4 5 5 4 3 3 2 2 2 2 3 2 2 2 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 6 8 8 7 10 12 14 16 15 15 11 5 7 10 5 -5 -7 -2 3 8 8 8 8 8 9 8 8 8 9 11 12 12 11 11 11 10 8 4 -0 -1 2 2 4 6 12 15 9 8 5 0 1 -4 -3 1 6 8 9 14 17 15 11 9 6 2 -3 -0 9 14 13 9 7 4 5 9 16 18 11 6 3 0 1 4 3 5 8 9 6 4 9 12 7 7 1 0 4 10 10 7 4 9 23 30 22 9 1 -1 4 9 10 8 9 15 24 18 7 5 5 5 5 5 4 4 3 4 4 4 5 5 5 5 4 3 2 3 4 5 5 6 6 6 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 3 3 2 3 4 5 6 6 6 5 5 5 5 5 4 5 5 5 5 4 4 4 3 2 2 5 8 9 8 6 5 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 5 7 10 10 8 6 6 6 6 6 7 7 6 6 5 5 5 5 5 6 6 4 4 4 4 6 7 9 11 8 5 4 5 4 4 4 6 8 8 8 7 6 6 7 7 7 10 8 5 7 8 7 6 8 10 8 6 5 4 3 3 2 2 3 4 5 6 5 5 5 6 9 10 11 11 10 9 5 3 2 2 2 2 4 6 5 6 6 4 4 4 5 6 6 6 5 5 5 5 7 10 10 7 6 9 14 16 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 5 4 4 3 2 2 3 4 3 3 2 4 6 6 6 5 4 3 5 6 7 7 7 8 8 7 5 4 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 6 8 10 10 7 3 2 2 2 3 3 2 3 3 3 3 3 3 1 0 1 1 1 1 1 2 3 3 3 4 4 4 3 3 3 4 4 5 4 5 5 5 5 5 4 4 5 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 10 11 9 13 15 16 16 12 8 4 4 10 11 5 -1 1 6 6 6 6 6 6 6 6 7 7 7 8 10 13 14 13 12 11 9 6 3 1 1 4 4 5 7 10 12 9 6 2 -4 -3 -2 1 7 11 7 7 11 11 10 10 10 9 5 -1 -1 7 16 15 6 3 2 3 9 16 17 12 8 2 -2 4 10 9 4 1 4 8 9 9 11 9 10 8 5 -1 10 15 13 13 16 22 22 13 5 -0 -2 3 8 8 6 8 16 24 18 7 5 5 5 5 5 4 4 4 4 4 5 4 4 5 4 3 3 3 4 4 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 4 6 7 7 6 5 4 4 3 3 4 4 4 5 4 4 4 4 4 3 1 1 2 5 8 8 8 6 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 4 5 4 4 4 5 5 5 5 5 5 6 6 5 4 4 4 4 5 5 6 6 8 10 10 8 6 4 4 4 4 5 6 6 6 5 5 5 6 8 8 7 4 3 3 4 6 8 10 10 7 6 6 5 5 4 4 6 7 9 8 7 7 7 7 6 7 8 8 5 6 7 7 7 8 10 8 6 4 3 2 2 2 2 3 4 5 6 6 6 5 5 6 9 11 11 11 9 6 4 2 2 2 2 3 4 5 5 5 4 4 3 4 5 6 6 6 7 7 8 9 12 10 5 3 6 10 13 12 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 5 4 3 2 2 2 4 5 5 3 2 2 4 6 7 6 4 3 4 6 7 7 7 7 8 8 7 6 4 5 4 4 3 3 4 5 5 5 6 5 5 5 5 6 7 9 11 9 5 3 2 2 2 3 2 2 2 2 3 3 3 1 0 -0 -0 -0 0 0 1 1 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 5 5 5 6 6 10 14 12 15 14 12 14 11 8 3 5 9 8 4 5 7 6 5 5 4 5 5 6 6 7 7 7 8 10 13 16 16 14 12 9 7 4 2 2 5 7 6 5 7 9 6 4 9 11 8 1 3 7 8 3 3 5 3 3 6 7 9 9 3 -1 5 20 19 4 1 7 8 10 11 8 7 6 2 -0 7 15 12 6 2 3 5 9 10 7 4 7 12 11 -2 6 18 21 20 16 14 9 3 2 -0 -3 2 7 9 7 9 18 23 15 6 5 5 5 5 5 4 3 4 4 5 5 4 4 4 3 3 3 4 4 4 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 2 3 4 7 8 7 5 3 3 2 3 3 3 4 4 4 4 3 3 4 4 4 2 1 1 2 4 5 6 5 5 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 6 5 4 5 4 4 4 5 5 5 4 5 6 6 6 4 4 4 4 5 6 7 7 7 8 9 8 6 4 2 1 -0 1 2 4 4 5 5 4 5 7 10 9 6 4 2 3 5 8 8 8 7 5 5 6 6 6 5 5 6 6 7 8 8 7 7 7 7 7 7 7 6 6 6 5 6 7 7 7 6 4 3 2 2 2 2 3 4 5 6 6 6 5 4 3 5 8 11 11 11 10 7 5 4 3 3 3 3 4 4 4 4 3 3 2 3 4 5 6 8 8 9 12 13 9 4 1 3 7 9 10 9 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 3 2 1 2 3 5 7 8 5 3 2 3 5 7 7 4 3 4 6 7 8 7 7 7 8 8 7 6 6 5 4 4 3 3 4 5 6 7 7 7 6 6 7 7 8 10 10 8 5 4 3 2 2 2 2 2 2 2 3 2 2 1 0 -1 -1 -0 0 0 1 1 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 5 6 6 6 6 6 6 5 5 6 5 5 4 5 5 5 4 4 5 4 4 4 5 5 6 6 6 7 12 17 16 12 9 9 12 13 11 11 9 3 -0 3 5 5 4 4 4 4 4 5 6 7 7 7 8 9 10 14 18 18 15 12 10 8 6 3 2 6 10 9 5 6 8 4 2 8 13 16 10 7 8 1 -3 1 3 1 -0 -0 -1 5 12 5 -4 1 17 20 6 5 10 7 8 8 7 7 4 -1 -0 6 12 8 3 8 8 5 10 9 1 0 6 12 14 -0 -3 9 25 25 12 2 -5 -4 1 -1 -1 5 8 10 9 8 16 24 17 6 5 5 5 5 4 4 4 4 5 5 4 4 4 4 3 3 3 4 4 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 4 4 3 3 2 2 2 3 3 4 4 6 7 6 4 3 2 2 3 4 5 4 4 3 3 3 3 3 4 4 3 3 3 2 2 2 3 3 4 4 4 4 4 3 3 3 3 4 3 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 3 3 4 5 6 7 7 7 7 7 7 6 3 2 0 -2 -3 -4 -2 1 3 4 4 5 6 7 7 6 4 3 2 5 9 12 10 7 8 6 3 5 7 7 6 5 5 6 6 6 7 6 6 6 7 7 7 7 7 7 6 6 6 5 6 7 5 4 4 3 3 3 3 4 5 5 6 6 6 5 4 3 2 6 8 9 11 12 11 10 8 5 3 3 3 3 4 4 4 3 2 2 2 2 3 5 7 8 10 13 12 8 2 -1 1 4 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 3 2 1 1 2 4 5 7 8 7 5 3 3 4 6 7 5 4 4 6 7 8 8 8 7 7 7 7 7 7 5 4 3 3 3 4 4 5 6 7 7 7 8 9 9 9 9 9 9 8 5 3 2 2 2 3 2 2 2 2 2 2 2 1 -0 -0 -1 -1 -0 -0 0 1 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 3 4 3 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 8 9 12 16 18 13 8 7 10 12 9 10 16 9 -3 -5 1 3 3 3 3 3 4 4 4 6 7 8 9 10 11 11 15 19 19 14 10 9 8 6 4 1 3 9 12 9 10 10 6 5 3 7 11 9 10 18 4 -3 3 5 3 4 3 -2 4 13 6 -6 -2 9 14 11 12 11 3 4 8 11 9 4 -2 0 4 5 1 3 12 10 11 15 7 -3 3 9 11 12 4 -3 6 29 23 6 -8 -12 -1 5 2 5 9 8 9 10 7 12 24 21 8 5 6 5 5 4 4 4 5 4 4 4 4 4 4 3 3 4 5 5 5 6 5 5 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 4 3 3 3 4 3 3 3 4 3 2 2 1 2 3 5 7 6 6 5 5 4 3 2 3 4 4 5 5 4 4 3 3 3 3 4 4 4 4 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 4 3 4 6 7 8 8 8 7 7 6 4 2 -0 -2 -3 -5 -6 -4 1 4 4 4 5 5 5 4 4 4 4 5 7 11 14 12 11 12 9 4 5 6 7 6 6 6 5 5 4 4 4 4 5 5 6 6 7 7 8 7 7 7 6 6 6 6 6 5 4 4 3 3 4 5 6 6 6 6 5 5 4 3 3 3 5 8 11 14 15 13 9 6 4 3 2 3 4 4 4 3 2 1 2 2 3 5 7 10 12 10 5 0 -1 0 3 4 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 3 2 1 1 2 3 4 5 6 6 6 5 4 3 5 6 5 4 3 5 7 8 8 7 6 6 7 8 8 7 5 4 3 3 3 4 4 4 5 6 7 7 8 10 11 10 9 9 10 9 6 4 3 3 3 3 3 2 2 2 2 2 3 2 2 1 1 0 0 0 0 0 0 2 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 3 3 2 2 3 3 4 5 5 5 5 5 5 4 5 5 5 5 5 5 4 5 5 5 5 5 5 6 7 10 15 17 17 13 8 7 7 10 11 4 4 11 4 -6 -3 1 2 3 4 4 4 3 3 5 7 8 10 10 11 13 13 15 19 16 10 8 8 6 5 3 3 3 5 10 11 12 10 8 6 -1 -0 4 10 16 18 4 3 8 6 6 11 9 2 8 12 5 -1 1 3 7 12 13 9 6 5 5 7 3 5 7 7 7 2 1 6 8 8 14 14 4 0 7 8 9 9 15 8 18 32 19 -3 -18 -12 11 20 16 16 13 9 8 8 7 11 23 23 10 5 6 5 5 5 5 4 4 5 4 4 4 4 4 3 4 5 5 5 5 6 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 4 4 3 2 2 1 2 4 7 12 13 9 6 4 3 3 3 4 5 5 4 4 4 4 3 3 3 4 4 4 4 5 4 4 4 3 3 4 4 4 3 3 3 4 3 3 3 4 4 4 3 4 5 5 5 5 5 5 5 4 5 5 6 6 5 5 5 6 6 6 5 5 4 5 7 9 10 10 9 7 5 5 4 3 -0 -2 -3 -3 -3 1 5 5 4 4 4 5 4 4 4 5 7 8 9 11 13 11 10 15 13 8 5 5 5 5 6 5 4 4 3 2 3 3 3 4 4 5 6 6 7 8 8 8 8 7 6 6 7 7 5 4 4 4 4 6 6 6 6 5 5 5 5 4 3 2 2 3 7 11 16 19 17 12 7 3 2 2 3 4 3 2 2 2 2 1 2 3 5 8 9 7 2 -2 -1 -0 1 1 3 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 3 2 1 1 2 2 2 3 3 4 5 7 6 4 3 5 5 3 3 4 5 6 7 7 6 5 6 8 9 7 5 3 3 3 4 4 5 4 4 5 5 6 7 9 12 12 10 8 9 9 7 5 4 5 5 5 4 4 3 3 3 3 3 3 4 3 3 2 1 0 -0 -0 0 1 1 2 3 3 3 3 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 3 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 10 17 18 13 8 7 6 7 9 8 2 3 6 2 -4 -1 1 2 3 4 4 3 3 5 7 9 10 10 10 12 14 13 16 17 11 5 7 8 5 4 4 5 7 7 7 7 5 5 7 4 -3 -4 -2 5 18 10 -2 6 7 3 9 19 13 3 5 5 4 10 11 5 4 9 10 8 9 8 3 3 -8 0 19 14 8 2 3 3 0 5 13 9 3 6 11 9 1 7 20 15 26 31 15 -12 -23 -4 20 30 28 25 18 11 8 7 6 10 21 24 12 5 5 6 6 6 5 5 4 5 4 4 5 5 4 3 4 5 5 6 6 5 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 4 4 3 3 2 2 2 2 4 8 14 17 14 9 6 5 6 6 6 5 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 4 4 5 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 9 11 12 11 9 7 5 4 5 4 2 -0 -1 -1 3 8 8 6 5 5 4 4 4 5 6 6 7 8 8 10 13 9 3 10 14 11 8 6 5 5 5 5 4 3 2 2 2 2 2 3 3 4 4 5 6 7 8 8 8 8 7 6 6 6 6 5 5 4 4 6 7 7 6 6 5 5 5 5 4 3 1 2 4 7 13 19 22 20 14 7 4 2 2 3 3 2 2 2 2 2 2 2 3 5 5 4 -0 -3 -3 -2 -1 -1 -0 1 1 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 3 2 1 1 1 1 2 2 2 5 9 9 6 3 3 4 3 2 3 4 4 5 5 5 5 5 7 8 7 5 2 3 4 5 6 5 4 5 5 5 5 5 7 11 12 10 7 7 8 8 7 6 6 6 6 6 5 5 5 5 4 4 5 5 5 4 3 2 1 0 -0 -0 0 1 2 3 3 3 3 3 3 4 4 4 4 4 4 4 3 2 2 2 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 5 6 15 18 11 7 7 7 7 7 5 3 5 7 2 -2 0 1 2 3 3 3 3 4 6 9 10 11 11 11 11 12 14 16 14 7 3 6 7 6 5 5 4 9 11 9 6 3 5 6 4 2 3 -2 -1 7 0 -3 7 5 1 13 26 16 3 -1 -2 8 19 14 7 3 2 4 6 4 5 7 6 -7 -4 15 13 6 1 -3 -3 -1 7 8 3 4 9 11 7 0 7 15 14 28 29 12 -12 -15 3 18 23 25 23 17 12 9 7 5 7 19 26 15 5 5 5 6 5 5 5 5 5 4 4 5 5 3 3 4 5 6 5 5 4 5 5 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 4 4 3 3 2 2 1 1 3 6 11 15 14 12 10 10 10 8 7 6 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 4 4 5 6 6 7 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 4 5 5 6 6 6 7 6 6 6 6 5 5 5 6 7 8 11 12 12 11 9 7 6 7 6 4 5 3 1 3 10 13 9 6 5 5 5 5 5 5 5 6 6 6 7 10 13 8 1 4 11 12 11 10 8 6 5 4 3 3 2 2 2 2 2 2 3 4 4 4 5 5 6 7 8 8 8 7 6 6 6 6 5 4 5 6 7 7 6 6 6 5 5 6 5 4 2 2 2 4 9 14 20 24 22 15 8 4 2 2 2 2 2 3 3 3 2 2 2 3 3 2 -0 -3 -4 -3 -3 -2 -1 -0 0 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 4 2 2 2 2 2 2 2 5 13 17 11 4 2 2 3 3 4 4 3 3 3 3 4 4 5 6 5 3 3 3 5 6 6 5 5 5 5 5 5 5 6 8 10 9 6 5 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 4 2 1 -0 -1 -1 -1 0 2 2 2 2 3 3 3 4 3 4 4 4 4 4 3 3 2 2 2 2 2 3 3 4 5 5 5 5 5 5 5 5 5 5 5 4 5 6 7 7 7 7 5 4 10 17 15 10 8 7 6 5 3 3 8 9 3 -1 0 1 3 3 3 3 4 5 8 11 11 12 13 12 10 12 17 18 12 4 2 5 5 6 8 7 6 7 6 6 6 6 8 5 4 9 12 9 9 4 -6 -3 2 1 -0 13 20 9 4 2 2 12 16 10 6 0 -3 1 5 1 2 10 8 2 -5 3 6 4 3 -0 0 3 3 -4 -4 3 10 8 1 0 6 5 12 29 29 11 -6 -6 6 13 13 14 15 13 10 9 6 3 7 20 27 15 5 5 6 6 6 6 5 5 5 4 4 4 4 3 4 5 5 5 5 4 4 5 5 5 4 3 3 3 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 4 4 4 3 2 2 1 0 2 4 6 8 10 10 11 11 10 9 8 7 6 5 4 4 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 6 5 5 5 6 6 6 7 6 6 5 5 6 7 7 8 7 7 7 6 6 5 4 4 5 8 9 10 12 12 11 10 8 6 7 11 9 5 5 4 2 6 12 13 8 5 5 5 5 5 6 6 6 5 5 5 5 8 10 7 2 4 8 10 11 12 12 10 6 4 4 3 2 2 2 1 2 3 3 4 4 4 4 4 5 6 8 8 8 8 7 6 6 7 5 4 5 6 7 7 6 6 5 5 6 6 5 5 4 3 2 4 6 10 14 20 23 21 15 9 5 4 3 2 2 3 3 4 3 2 2 2 2 2 0 -2 -4 -3 -2 -2 -1 0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 10 9 7 6 5 6 5 4 3 3 6 16 22 15 5 2 2 2 3 4 5 4 4 3 2 3 3 3 4 4 3 3 3 4 5 5 5 5 5 6 6 6 5 5 6 8 7 5 4 3 4 4 4 5 6 6 7 7 7 7 7 7 7 7 8 8 7 6 3 1 -1 -3 -3 -1 -0 1 2 2 2 3 3 3 3 3 3 4 3 3 4 3 3 2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 4 3 7 18 20 12 10 8 6 2 -1 2 10 9 2 -1 -0 2 3 4 4 4 4 6 9 10 10 14 15 13 12 15 19 18 10 4 4 6 4 4 7 7 11 7 3 4 6 6 5 3 6 11 8 5 10 14 10 4 -2 -3 -2 5 3 0 4 7 11 17 15 11 6 -1 -3 4 9 7 6 10 5 2 1 5 6 4 0 -4 2 16 11 -5 -6 2 5 1 -1 3 5 1 11 26 26 11 1 2 10 13 11 9 9 9 8 7 5 3 9 21 21 10 7 7 6 6 6 6 6 5 4 5 5 5 4 4 4 5 6 5 4 4 4 4 5 5 4 3 3 3 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 4 4 4 3 2 2 2 0 0 2 3 4 3 5 7 9 9 8 7 8 7 7 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 6 5 4 4 5 7 9 11 11 12 12 11 8 7 5 7 11 11 7 5 5 5 8 10 8 6 5 5 5 5 5 6 6 6 6 5 4 4 6 7 6 3 3 4 7 9 12 14 14 11 6 4 3 2 2 1 1 2 2 3 4 4 4 4 4 5 5 6 7 7 8 7 6 7 7 5 4 5 6 6 6 6 6 5 5 5 5 5 6 5 4 3 4 4 6 9 14 19 22 21 17 13 9 6 4 3 3 4 4 4 3 2 2 2 2 1 0 -1 -1 -1 -1 -1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 11 12 12 10 9 9 10 9 7 5 4 7 14 18 12 5 2 3 3 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 6 6 5 6 7 7 6 3 2 2 3 3 3 4 5 6 6 6 6 6 7 7 8 9 10 10 9 5 1 -1 -3 -4 -2 -0 1 1 2 2 2 2 2 3 4 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 6 6 6 8 7 6 5 4 4 9 22 22 14 12 9 6 1 -4 1 6 5 1 -1 0 2 4 4 4 5 5 6 7 8 12 16 15 15 17 18 18 15 9 6 6 8 5 2 0 4 8 7 2 5 6 4 2 4 7 5 1 1 5 15 23 16 6 0 -3 -3 -4 1 7 11 15 21 19 15 5 0 3 8 9 9 7 6 -1 -4 6 12 10 5 -4 -10 3 25 19 1 -3 1 -3 -5 0 3 1 3 12 20 18 9 6 10 14 14 11 9 7 8 9 7 4 3 8 13 11 7 12 14 8 6 7 6 6 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 2 2 2 1 1 2 3 3 2 3 4 5 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 6 6 6 6 6 7 6 7 6 6 6 6 5 6 6 6 6 7 7 8 8 8 8 7 6 5 5 4 5 7 9 11 12 11 11 10 9 8 6 6 6 9 9 6 6 6 7 8 7 6 6 5 5 5 4 4 5 5 5 6 5 5 5 5 6 5 4 3 2 3 6 9 13 18 18 12 6 3 2 2 1 1 1 2 3 4 5 5 4 4 4 4 4 5 6 7 7 6 6 5 5 4 5 5 6 6 6 6 6 5 5 5 6 6 5 5 4 3 3 4 6 10 13 18 22 22 19 14 11 9 8 6 6 5 4 3 3 3 3 2 2 1 1 0 0 -0 -0 1 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 9 10 11 10 10 11 11 11 9 6 5 5 8 9 6 4 3 4 5 5 6 6 6 6 6 6 6 6 5 5 4 5 4 3 3 3 3 3 3 4 5 6 7 7 7 6 6 7 7 5 4 2 2 2 2 3 4 4 4 4 5 5 5 6 7 8 11 12 12 9 4 -1 -2 -2 -1 0 1 0 1 1 1 1 2 3 4 4 4 4 4 3 3 3 3 2 3 3 2 3 2 2 3 3 3 4 4 4 4 4 5 5 6 6 7 7 7 6 4 4 4 6 13 23 22 14 11 8 5 1 0 4 2 1 -0 0 1 3 4 4 5 5 5 5 6 11 18 16 13 18 21 18 15 12 9 7 6 6 4 -1 -1 7 7 5 6 6 3 2 4 10 11 6 10 10 0 3 12 12 10 5 -2 -3 -1 4 9 10 7 11 17 13 6 6 10 11 9 6 6 4 -2 -5 5 12 11 8 1 2 12 16 7 -0 -3 -2 -6 -7 -0 0 -1 7 15 14 8 4 8 15 17 14 11 8 6 8 9 7 4 3 5 6 6 8 15 23 16 7 6 7 6 6 5 5 5 5 5 4 4 4 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 2 2 2 3 3 3 3 2 2 3 3 4 4 5 5 5 4 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 7 7 6 6 5 5 5 6 5 6 6 7 7 8 8 8 7 7 6 5 5 5 7 8 11 12 12 11 9 9 8 7 5 5 7 7 7 6 6 7 8 8 5 4 5 5 4 4 4 4 4 4 5 6 6 5 5 5 5 5 5 3 2 2 3 6 11 18 22 20 13 7 4 2 1 0 1 1 2 4 5 4 4 3 4 4 4 4 4 5 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 4 4 3 4 4 5 8 11 16 20 20 17 15 14 13 11 10 9 7 6 6 4 3 2 2 2 2 2 1 1 1 1 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 8 8 8 10 11 11 9 7 6 5 5 4 4 3 4 4 6 7 7 7 6 6 7 8 8 8 7 7 7 6 5 4 3 2 2 3 3 3 4 4 5 6 7 6 6 7 8 8 6 3 2 1 2 3 3 3 3 3 4 4 4 5 6 7 9 12 15 13 8 2 -0 -0 0 1 1 0 1 0 -0 0 1 2 3 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 5 7 7 7 7 6 4 3 4 5 8 16 24 20 13 9 6 4 5 11 13 3 0 -0 0 2 3 4 4 4 4 4 5 9 18 21 13 12 19 19 17 14 11 9 6 3 1 -1 -1 6 12 10 7 7 5 3 1 4 13 11 11 21 13 -1 2 5 3 4 3 1 3 4 8 11 5 -1 -1 4 2 7 11 12 13 11 8 5 3 1 5 11 10 9 7 3 6 12 8 1 1 2 -1 -2 -1 3 5 7 12 15 9 2 3 7 15 18 14 10 6 5 7 9 6 3 2 4 4 5 7 14 26 21 8 6 7 6 6 5 5 5 5 5 4 4 4 4 5 4 4 3 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 2 3 3 3 4 4 3 2 2 3 3 3 4 4 5 5 4 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 7 8 8 8 8 7 7 6 5 5 6 8 10 12 12 12 9 8 7 6 5 4 3 4 6 7 7 7 8 9 9 6 1 2 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 4 1 1 2 4 8 14 21 24 20 13 7 3 1 -0 1 1 3 4 5 5 5 4 3 3 3 3 3 4 4 5 5 5 4 3 3 3 4 4 4 5 5 5 6 6 6 5 6 6 5 4 4 3 3 3 4 6 10 14 16 17 16 16 15 14 14 14 14 12 10 8 5 3 1 2 3 3 2 2 2 2 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 5 6 6 7 8 10 10 9 9 8 6 6 5 4 4 4 4 6 7 8 7 7 6 6 7 8 8 8 8 8 8 7 6 4 4 3 3 3 3 3 3 4 5 6 6 6 6 7 8 8 6 3 2 2 2 2 3 3 3 3 3 4 5 5 6 8 10 14 16 13 6 2 2 2 3 2 1 -0 -1 -1 -1 -0 1 2 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 5 6 7 7 7 5 4 3 4 7 11 19 25 20 11 6 6 9 11 15 9 1 -1 0 1 2 3 4 4 5 5 5 7 15 20 17 10 11 14 16 17 15 11 8 4 2 0 -2 3 9 10 3 -0 -0 5 4 1 4 9 9 17 24 9 4 11 6 -2 -1 1 6 9 7 9 10 1 -1 -0 -4 -6 2 8 12 15 15 12 9 5 4 12 14 6 0 0 3 5 8 10 7 7 10 4 2 7 9 10 10 13 11 4 1 5 8 13 18 15 10 6 6 7 7 4 2 3 4 5 5 6 13 25 23 10 6 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 3 2 2 2 3 4 5 4 4 3 3 3 4 4 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 7 6 6 6 6 6 6 6 5 6 5 5 5 6 8 8 9 9 8 7 6 6 6 7 8 10 11 12 12 10 8 6 6 5 2 1 1 3 6 7 7 8 8 9 9 7 3 2 3 4 4 5 4 4 4 5 6 6 6 6 5 5 5 5 4 2 1 3 5 4 8 15 22 22 17 11 6 4 2 2 2 2 4 5 7 8 6 4 3 2 2 2 3 3 4 5 4 4 4 4 4 3 3 4 4 5 5 6 6 6 6 6 5 5 4 4 4 4 3 3 3 5 7 8 10 13 14 13 13 14 16 19 19 17 14 10 5 2 1 3 3 3 2 2 2 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 4 5 5 7 9 10 11 11 10 9 8 7 6 5 5 4 4 5 6 8 8 7 6 5 6 6 6 6 6 8 8 8 8 7 6 5 4 4 4 4 4 4 4 5 5 5 5 6 8 9 8 5 2 2 2 2 3 3 3 3 3 3 4 5 6 7 9 11 16 17 12 5 4 4 4 4 2 -0 -2 -2 -1 -1 0 2 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 6 7 7 7 6 4 4 4 7 10 16 24 27 18 8 4 7 12 9 5 -1 -2 -1 1 2 3 4 3 4 5 6 6 10 17 18 10 7 8 9 12 14 13 10 6 4 4 3 0 3 6 8 2 -0 2 7 5 1 3 5 9 18 19 3 5 8 1 -2 -1 2 9 12 7 7 4 -3 0 4 1 -0 2 7 12 16 18 15 11 8 8 10 11 4 -4 -4 3 8 6 9 10 9 9 6 4 7 9 9 10 9 5 3 5 7 9 11 15 18 13 8 7 8 6 2 2 4 5 5 5 6 12 23 24 12 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 3 4 3 4 4 4 3 2 2 2 2 3 4 4 4 4 4 4 5 4 5 5 5 5 5 5 6 6 5 6 6 6 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 6 6 7 8 9 9 9 8 7 6 6 7 8 11 11 12 12 12 10 7 5 5 4 2 2 4 6 8 7 8 8 8 9 9 7 3 2 4 5 5 5 5 4 5 5 6 7 7 6 6 6 5 5 4 2 1 3 7 5 2 7 13 16 15 11 8 7 6 6 4 3 4 6 9 10 10 8 5 4 3 2 1 2 4 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 4 4 4 4 4 3 3 4 6 8 8 10 11 12 13 17 21 23 21 17 11 5 1 2 3 3 3 3 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 3 5 6 8 10 11 11 10 10 8 8 7 7 6 6 5 4 5 6 7 7 7 6 5 5 4 4 5 6 7 9 10 9 8 8 6 5 6 7 7 5 4 4 4 4 5 6 7 10 10 7 4 3 3 2 2 2 2 2 3 3 4 5 5 7 7 9 14 19 17 10 5 6 6 5 3 1 -2 -2 -1 0 1 1 2 4 5 4 4 3 3 3 4 4 3 3 3 3 3 2 2 2 3 3 3 3 3 5 6 7 7 7 6 4 3 6 12 18 26 33 29 17 8 4 3 3 -2 -5 -3 -1 -0 1 2 3 3 3 4 6 6 6 10 16 15 9 7 6 6 7 7 8 7 3 2 6 5 2 2 5 12 12 9 7 4 2 2 4 5 11 14 4 -5 1 3 0 0 3 6 10 10 7 4 0 -2 1 5 4 6 7 9 12 15 18 11 4 7 10 8 7 5 1 2 6 5 -0 2 9 9 6 5 5 8 11 10 8 6 4 8 11 7 8 8 11 17 18 12 9 8 5 2 3 4 5 5 5 6 14 25 23 11 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 3 2 2 2 2 3 3 4 4 4 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 8 7 6 7 8 10 12 12 12 12 12 10 7 5 5 6 6 6 6 7 8 8 8 8 8 9 10 9 2 -2 4 6 5 5 5 5 5 5 5 6 7 7 6 6 6 6 5 3 2 2 5 5 2 3 5 8 10 9 8 9 9 9 9 7 6 7 9 11 12 11 10 8 6 2 1 1 3 4 5 5 6 6 7 6 5 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 3 3 4 4 5 6 8 9 10 13 18 22 26 23 15 6 2 3 4 4 4 4 3 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 2 2 2 4 5 7 10 11 11 11 10 9 8 8 7 8 7 6 5 4 5 6 7 7 6 5 4 4 4 5 6 7 8 9 10 9 8 6 6 8 10 11 8 5 3 3 4 5 5 7 9 10 9 6 4 2 2 2 2 2 2 2 3 3 4 5 6 7 8 12 18 21 15 9 6 6 6 3 0 -1 -1 -0 1 1 1 3 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 8 7 5 3 6 13 22 29 35 38 27 14 7 -0 -8 -10 -12 -8 -3 -0 1 2 3 3 3 4 5 6 7 7 9 12 14 13 11 8 6 5 3 4 6 1 2 8 8 8 5 9 15 13 12 10 2 -1 2 7 10 13 8 -2 4 10 3 3 3 5 9 10 8 5 3 0 -0 2 6 8 8 8 11 10 11 15 4 1 8 10 3 2 4 6 13 13 3 0 2 10 14 8 3 5 11 8 9 8 4 9 19 16 7 8 8 7 12 17 16 12 9 5 3 3 4 5 5 5 10 21 27 18 7 4 5 6 6 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 9 8 7 7 7 8 10 12 13 13 12 12 12 9 6 5 5 7 7 7 7 7 7 8 7 7 8 9 10 11 6 1 3 5 5 5 5 5 4 5 5 6 6 6 6 6 7 7 6 5 3 2 4 4 2 2 3 4 4 5 7 9 11 12 13 12 10 8 8 9 11 13 15 15 11 7 5 4 3 4 5 5 6 6 7 7 7 5 5 5 4 4 4 4 5 5 5 6 6 5 4 4 5 4 4 4 4 4 3 3 3 4 5 7 8 11 15 19 23 22 14 7 5 4 5 5 5 5 5 6 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 4 2 2 3 4 5 7 9 10 11 10 10 9 7 8 8 9 8 7 6 6 6 6 6 6 5 4 4 4 5 5 6 7 8 8 8 7 6 7 9 11 12 10 7 4 4 4 4 5 8 10 10 9 7 4 3 2 2 2 2 2 2 3 3 4 4 5 6 7 10 17 22 20 13 7 5 4 3 1 -0 0 1 2 1 1 3 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 3 3 5 6 7 8 7 5 4 5 12 24 31 31 27 26 21 11 5 -4 -9 -12 -12 -7 -2 1 2 3 3 2 3 4 6 7 7 8 8 9 14 17 15 11 11 11 7 4 6 5 5 6 10 12 6 8 7 10 11 11 6 1 1 8 13 10 2 6 17 17 6 6 7 7 8 7 5 5 6 5 3 3 6 8 7 9 9 6 10 12 2 7 15 12 3 0 2 6 11 5 1 7 5 5 11 11 5 2 6 7 9 4 1 13 24 17 9 9 10 7 8 14 17 14 9 6 4 4 4 4 5 7 16 28 24 11 4 4 5 6 7 7 7 6 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 4 4 5 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 5 5 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 6 6 7 8 8 8 9 9 9 9 9 9 8 7 7 9 10 13 14 14 13 12 11 10 8 5 3 3 4 6 6 7 7 7 7 7 8 8 9 10 9 4 1 4 6 5 5 5 5 5 5 5 5 5 6 5 6 7 7 7 5 3 3 5 8 0 -2 3 3 3 4 6 9 11 12 13 14 12 9 6 6 7 12 18 19 15 12 9 7 5 5 6 5 4 4 5 7 7 7 6 5 4 3 3 4 3 4 4 5 6 5 4 4 4 5 4 4 4 4 4 3 3 4 4 5 7 9 11 14 16 15 10 7 6 6 7 7 7 7 7 10 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 7 5 3 2 2 3 4 7 8 9 10 10 9 8 8 9 8 9 10 12 12 10 7 5 5 4 4 4 4 4 5 6 6 6 6 6 6 6 6 8 10 10 8 7 5 5 5 5 6 8 9 9 8 6 4 3 2 2 3 2 2 2 3 3 4 4 5 5 7 9 14 20 21 15 8 5 3 2 1 1 2 3 3 2 2 2 3 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 5 6 7 8 8 7 4 4 9 20 29 29 23 14 8 6 6 8 3 -3 -10 -9 -4 1 3 3 3 3 3 4 5 6 7 8 7 7 9 16 19 15 11 14 16 12 8 7 7 5 4 9 10 8 4 3 6 6 12 11 2 0 6 10 5 5 12 17 10 9 8 8 5 5 4 3 7 11 11 7 6 7 7 6 7 3 1 10 7 5 11 14 13 9 6 3 4 6 2 2 6 4 2 6 11 11 5 1 13 11 5 7 16 19 13 9 9 11 10 9 12 16 14 9 5 3 4 4 4 5 10 23 30 20 7 4 4 5 6 7 7 7 6 6 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 3 3 3 4 4 5 5 4 4 4 4 5 4 5 4 4 3 3 3 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 6 6 6 7 6 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 10 10 9 8 9 9 8 8 8 9 10 12 14 15 15 13 11 10 9 7 3 -0 -2 1 5 6 6 6 6 7 8 8 8 9 10 9 3 -2 2 6 6 6 6 6 6 6 5 3 2 3 4 4 4 6 7 6 5 4 5 10 3 -3 3 4 4 4 5 8 11 12 12 12 10 7 6 4 4 8 13 16 17 15 11 9 7 7 6 5 4 3 3 5 6 7 7 6 5 4 3 3 3 3 3 4 5 5 5 4 4 4 5 5 5 5 4 3 3 3 3 4 6 6 8 10 11 10 8 7 7 9 10 11 10 9 10 13 14 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 7 5 4 3 2 3 4 6 7 8 9 9 9 9 8 8 8 12 19 19 16 10 7 6 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 8 7 5 4 3 2 3 3 3 3 3 3 3 4 5 5 5 6 7 11 16 18 15 9 6 4 3 3 3 4 5 4 3 2 2 3 4 4 4 4 4 3 2 3 3 3 3 3 3 3 3 4 4 4 5 6 8 9 9 9 7 5 7 14 19 21 22 21 15 3 -0 6 13 9 -4 -14 -9 -0 3 3 3 2 3 3 5 6 7 8 9 9 9 14 19 17 12 9 11 15 15 10 6 5 5 4 4 5 9 9 12 5 3 8 5 -2 0 5 6 2 5 7 9 8 13 10 6 4 3 2 2 7 13 13 11 9 9 8 7 5 -3 -2 6 1 5 8 10 11 9 9 8 5 6 8 9 12 7 4 8 14 13 9 3 9 7 11 17 17 13 9 8 9 10 11 10 12 13 11 6 3 1 3 6 6 6 13 25 28 16 6 4 5 5 6 7 7 7 6 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 4 4 3 4 4 5 5 5 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 5 6 6 6 6 7 7 7 7 7 8 7 8 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 9 10 10 9 9 8 8 8 9 8 8 9 11 13 14 14 14 14 13 11 10 8 7 5 2 -1 2 5 6 6 6 5 6 7 8 8 9 10 10 5 -1 0 6 6 6 6 6 7 7 7 6 2 2 2 2 2 2 4 7 7 6 5 5 4 1 4 4 4 4 5 8 11 12 11 9 6 4 3 2 3 5 7 11 14 15 14 13 12 10 8 7 6 6 7 7 8 8 7 7 5 4 3 2 2 2 3 3 4 4 5 5 4 4 5 4 5 5 4 4 3 3 3 4 5 4 5 7 8 7 7 7 9 11 14 15 15 13 12 13 12 10 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 8 7 6 5 4 3 3 4 5 6 7 8 9 9 8 7 8 13 20 21 16 11 9 7 7 6 6 5 5 5 5 4 4 4 5 6 6 5 4 4 4 4 6 7 7 7 7 8 9 9 8 6 5 5 4 3 3 3 4 4 3 3 4 5 4 4 4 5 6 8 12 15 14 10 7 6 6 6 5 6 7 7 6 4 3 4 5 5 4 4 4 3 3 3 3 4 3 3 3 3 3 4 4 4 5 7 9 11 13 11 7 6 11 13 11 11 18 23 20 10 6 10 9 -0 -12 -15 -7 2 3 2 1 2 3 4 6 7 7 9 13 14 13 16 16 13 13 12 9 13 15 10 5 4 5 4 5 4 1 3 7 2 2 -0 -3 -3 2 4 2 -1 1 2 7 15 13 6 1 1 3 4 4 6 9 12 12 8 8 9 10 7 -0 2 4 -0 4 2 8 8 3 8 11 7 5 7 12 15 8 4 11 18 12 5 7 1 3 15 18 14 10 8 8 9 10 10 10 10 9 6 4 3 3 5 7 7 7 13 24 25 13 4 5 6 6 7 7 7 6 6 5 4 4 5 5 5 5 4 4 4 5 5 4 5 6 6 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 4 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 10 9 8 7 7 8 9 9 8 9 11 13 15 14 14 14 13 11 9 8 6 6 7 8 7 6 6 6 5 5 5 5 7 9 9 8 9 9 7 2 2 4 6 7 7 7 7 7 8 9 8 6 4 4 4 3 3 6 7 8 7 4 2 3 4 4 4 4 4 6 9 11 10 6 3 1 0 1 2 3 4 6 9 12 15 16 16 13 12 11 11 13 15 14 11 8 7 7 6 5 4 4 3 2 3 3 3 4 5 5 5 5 5 4 5 5 5 4 3 3 3 4 4 4 5 6 6 6 7 8 10 13 16 18 18 17 13 11 10 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 7 8 8 9 8 7 5 4 4 4 5 6 7 8 9 8 8 10 13 16 15 10 8 8 8 7 7 6 6 6 6 5 5 4 5 6 6 6 5 4 4 4 5 6 6 7 7 7 8 9 10 8 6 5 5 4 4 4 4 4 4 4 4 5 5 5 4 5 5 6 7 9 12 13 11 9 8 8 8 8 8 8 8 7 6 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 7 10 13 16 17 13 6 4 11 12 6 9 15 19 17 14 7 1 -10 -15 -15 -10 -2 1 1 0 1 2 4 5 6 7 8 12 17 16 13 11 10 11 17 14 10 12 12 10 7 5 4 3 7 4 -3 -1 1 1 2 -0 0 2 4 5 -0 -2 1 1 4 6 3 3 -1 -3 2 6 6 4 7 13 13 9 8 9 11 13 10 6 5 8 9 1 1 3 4 8 9 9 7 8 11 8 -0 1 13 20 11 3 5 -2 6 22 20 13 8 7 8 9 9 10 10 8 6 3 3 4 5 6 8 8 7 10 21 25 13 5 7 7 7 7 6 7 6 6 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 4 4 5 4 5 5 6 5 5 4 4 4 5 5 4 4 4 4 5 5 4 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 9 8 9 9 9 8 7 6 7 8 8 9 9 10 13 15 15 13 13 13 11 10 8 6 3 1 2 7 9 8 7 6 5 5 4 3 5 10 12 9 7 8 6 3 3 5 6 6 7 7 7 7 7 8 9 9 8 7 7 7 5 5 6 7 8 6 3 3 3 4 4 4 4 4 6 8 9 7 4 1 1 1 2 3 4 5 6 9 12 13 14 14 13 13 14 18 18 15 11 9 7 6 6 6 6 6 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 3 6 6 6 8 8 7 8 11 15 17 18 17 14 12 11 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 6 7 8 10 9 7 5 4 4 4 5 6 7 8 8 9 9 12 13 9 7 7 8 9 8 6 5 6 7 7 6 5 5 6 6 6 6 5 4 4 5 5 6 6 6 7 7 8 9 10 9 7 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 7 8 9 11 11 9 8 9 9 9 9 9 8 8 7 7 7 7 6 5 4 4 3 3 3 3 3 3 4 4 4 4 3 3 6 12 16 18 17 15 10 3 1 9 11 4 5 10 12 10 9 -1 -16 -25 -19 -10 -3 0 -0 -0 0 2 4 5 6 7 9 12 17 19 13 8 6 7 9 13 10 8 11 9 10 9 6 2 5 11 9 6 7 6 5 5 4 7 8 9 13 4 0 1 1 -2 -5 -2 4 3 -2 2 7 4 2 7 14 16 18 16 10 10 15 13 6 7 15 13 4 -1 1 8 9 6 6 7 7 7 3 -5 -2 12 13 9 10 13 6 9 21 20 13 9 8 8 8 10 10 10 8 5 3 4 4 4 5 8 8 6 9 20 26 16 6 7 8 8 7 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 6 7 6 4 4 5 5 5 5 5 5 5 4 4 5 5 5 4 4 3 4 5 5 4 5 4 4 4 4 5 5 5 6 6 6 6 6 6 7 6 6 6 6 6 6 5 5 5 6 7 7 7 7 7 8 8 9 8 8 8 7 6 6 6 7 7 8 8 10 12 15 16 14 12 12 11 10 9 7 5 2 -2 -3 2 6 7 6 6 6 5 4 1 0 6 11 10 8 6 4 2 3 6 6 6 6 7 7 7 7 8 8 7 7 7 7 6 5 5 6 6 7 7 5 4 4 4 5 5 4 3 5 7 8 8 7 6 5 4 4 3 5 5 6 6 7 8 10 11 10 10 12 14 14 12 10 10 7 5 4 6 9 9 7 6 5 5 4 3 3 4 4 5 5 5 5 5 5 5 5 4 3 3 3 4 6 6 8 10 9 6 5 6 9 13 14 15 13 12 11 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 10 9 8 7 6 5 4 4 4 4 4 4 5 6 6 6 7 8 9 8 7 7 6 6 5 5 5 6 7 8 9 9 8 7 6 5 5 4 5 6 6 6 6 5 5 6 5 5 5 5 6 8 9 9 8 7 6 5 5 5 5 6 6 5 5 6 5 6 6 5 5 4 4 4 6 6 6 6 5 4 4 4 3 3 2 2 3 4 4 4 4 5 5 6 7 8 8 7 12 15 12 8 5 4 6 6 6 10 9 7 7 5 6 4 2 2 5 9 11 21 24 21 20 20 18 15 12 9 10 14 19 19 14 10 12 11 10 10 8 7 12 15 12 6 3 3 4 6 7 11 11 9 6 4 7 6 5 7 7 5 7 10 5 -1 -2 -3 1 6 8 5 3 9 18 19 10 1 2 5 6 5 5 10 11 3 -1 6 15 19 12 4 6 12 14 13 0 0 8 10 6 5 8 7 5 7 9 11 8 6 7 11 11 9 7 5 6 10 11 9 8 7 7 6 3 4 7 10 11 11 9 6 3 1 0 -2 0 6 10 14 17 19 21 16 9 6 5 5 5 4 4 4 5 5 5 6 6 6 7 7 6 6 6 7 7 7 5 5 5 6 6 6 6 6 5 3 2 4 7 8 6 5 4 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 5 5 4 5 6 7 10 14 15 15 11 8 5 4 4 5 9 9 4 4 5 5 5 4 4 5 4 5 5 5 6 6 6 4 2 4 6 6 5 6 6 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 9 10 10 8 7 8 9 8 7 6 6 6 7 8 9 8 8 8 8 7 5 3 1 1 1 1 3 3 4 5 4 4 5 5 4 4 4 4 5 5 6 7 7 10 12 11 10 8 7 9 15 18 21 21 20 16 12 8 6 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 11 10 11 10 8 6 5 5 4 4 4 4 4 5 5 6 7 8 8 8 8 8 8 7 6 6 6 5 6 7 8 9 8 6 5 5 5 5 6 6 6 6 6 5 5 6 5 5 5 6 8 10 9 8 6 5 4 4 5 6 6 5 5 5 5 6 6 6 5 5 4 5 5 6 6 6 6 6 5 4 4 4 2 2 2 3 5 5 4 4 4 5 5 6 6 7 7 8 6 3 5 6 7 8 8 8 8 8 5 1 4 11 11 6 4 5 9 16 24 27 23 19 16 10 7 5 7 13 18 18 13 7 6 8 8 9 9 9 12 17 18 12 6 3 2 3 2 3 5 6 10 11 10 9 6 6 7 6 10 14 11 2 3 3 2 6 7 2 -3 -1 10 19 16 11 4 1 6 12 7 4 7 7 1 1 7 13 15 13 8 4 5 14 11 3 13 16 8 0 1 8 9 7 7 8 10 8 5 6 10 13 14 11 8 9 10 9 8 6 6 9 9 6 4 6 9 10 10 10 8 5 2 -0 -2 0 4 7 9 11 16 21 20 18 14 7 5 4 4 3 3 5 5 5 6 6 6 7 6 6 6 6 7 7 7 6 6 5 6 6 7 6 6 5 3 2 4 8 8 6 5 4 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 6 5 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 7 8 10 13 16 15 12 8 5 3 3 5 7 7 5 5 6 5 4 4 4 4 5 5 4 5 6 7 6 3 3 4 5 6 5 6 6 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 9 10 9 8 8 9 9 8 5 6 7 7 7 9 8 7 7 8 8 8 7 6 4 3 2 1 1 2 4 4 5 4 5 5 5 5 4 4 4 4 6 7 6 8 10 10 10 10 9 10 14 16 17 18 17 15 12 10 9 7 6 4 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 14 15 17 16 14 11 9 7 6 5 5 5 5 5 5 5 5 6 7 8 8 9 9 8 8 7 6 5 5 5 6 7 7 7 6 6 6 6 7 6 6 6 6 5 5 5 6 5 5 6 8 9 9 9 7 5 4 4 5 5 6 6 5 5 6 7 8 7 6 5 4 4 5 6 6 7 7 7 6 5 5 5 4 4 5 7 7 6 6 5 4 4 4 5 6 7 7 4 -2 -0 5 6 7 6 6 6 8 12 6 -2 8 23 23 8 3 10 17 21 22 18 11 6 3 2 3 6 13 19 19 13 8 8 8 8 9 10 9 7 12 17 17 8 6 6 7 5 0 1 5 9 10 9 9 9 8 10 10 8 11 14 9 3 4 4 6 7 7 4 -1 0 11 18 12 8 8 6 6 6 1 -0 4 4 2 2 3 6 8 12 13 7 6 11 3 7 21 17 5 -3 -1 6 14 15 9 5 7 5 3 6 11 14 14 11 10 12 11 8 7 5 5 10 13 11 8 8 9 9 8 8 10 8 4 0 0 1 2 4 6 8 11 14 18 24 22 12 7 6 4 3 3 3 4 5 6 7 6 6 5 5 5 6 7 7 6 6 7 7 6 6 7 6 5 4 3 2 5 9 8 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 5 5 4 4 5 5 4 5 5 5 6 5 5 5 4 4 4 4 5 5 6 8 10 13 16 16 13 9 5 3 3 4 6 7 6 6 6 5 4 3 3 4 5 4 4 4 5 6 4 -0 2 5 6 6 6 6 7 7 8 8 8 8 8 8 9 8 8 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 10 9 8 9 10 9 6 5 6 8 8 8 9 7 6 6 7 9 10 10 9 9 8 7 5 3 2 3 4 5 4 5 5 5 5 5 4 4 4 5 6 7 8 9 9 10 11 10 11 12 14 15 15 13 11 9 9 10 10 7 5 4 3 3 4 4 4 5 5 4 4 3 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 14 16 18 19 18 17 15 14 11 9 8 7 7 6 5 5 5 5 5 5 6 7 8 9 9 9 8 7 5 4 5 6 7 7 8 7 7 7 7 7 6 6 5 5 6 6 6 5 5 6 7 8 9 9 8 6 5 4 4 5 6 6 6 6 7 8 9 9 8 6 5 5 5 6 6 6 7 7 6 6 5 5 5 7 8 8 8 8 7 6 5 5 5 5 6 7 7 6 6 7 7 6 6 6 6 6 7 10 4 -1 11 29 30 16 9 16 17 12 5 -1 -5 -5 -3 1 6 14 20 19 15 8 5 7 8 8 10 12 11 9 10 14 15 7 5 6 7 7 4 5 9 11 8 5 7 8 10 13 11 8 10 9 6 3 2 5 7 5 11 7 1 4 16 20 12 9 13 12 7 -2 -5 -1 3 5 5 4 4 6 6 8 13 13 17 12 -2 5 17 13 1 -4 -1 6 14 19 12 6 6 3 2 7 11 12 10 9 10 11 10 8 7 7 7 9 12 12 11 10 10 10 9 7 9 10 7 5 4 1 1 2 4 5 7 9 14 22 21 13 13 14 7 3 3 3 4 5 6 6 6 6 5 5 6 6 6 6 5 6 8 7 7 7 7 7 6 4 3 3 5 8 7 5 4 4 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 6 7 7 7 7 7 7 7 6 5 5 5 4 4 4 5 5 4 5 5 5 5 5 4 4 4 4 4 5 6 6 7 8 11 15 16 14 10 6 3 3 4 7 8 6 5 6 4 4 4 4 4 4 4 4 4 5 5 3 -3 -1 5 6 6 7 7 7 8 8 8 8 8 8 8 8 9 8 8 7 7 6 6 6 7 7 7 8 8 9 9 9 10 9 8 9 11 11 9 5 5 7 8 9 9 7 5 4 4 5 6 9 11 12 11 12 11 10 7 5 4 4 5 5 4 5 5 5 4 4 4 4 5 6 7 7 8 9 10 11 11 11 12 14 14 14 13 10 8 8 10 11 10 8 6 4 3 3 4 4 4 5 5 4 4 4 3 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 18 15 10 7 4 3 7 15 19 15 11 11 13 11 11 9 10 11 12 17 19 18 13 10 6 9 11 13 17 18 15 6 5 4 0 7 11 13 11 8 6 17 16 11 13 14 15 14 14 14 13 12 11 9 9 12 14 14 12 11 12 18 24 24 20 13 7 7 12 19 18 14 11 7 6 6 8 9 10 13 16 17 15 12 9 8 10 9 8 9 11 12 11 9 7 7 11 13 12 10 10 11 14 15 12 7 8 10 9 9 10 11 13 13 12 12 12 12 12 12 13 13 14 14 13 12 13 12 12 11 10 11 12 11 11 12 13 13 13 13 13 13 14 12 10 6 7 12 17 19 15 11 12 16 17 17 16 15 13 12 12 12 13 14 13 12 12 13 14 14 13 12 12 12 13 14 13 13 12 11 11 12 12 12 12 11 12 14 14 13 11 11 12 13 14 15 15 14 12 12 13 13 13 12 12 11 10 11 12 13 13 12 13 15 19 18 15 13 13 13 12 13 14 13 12 12 13 14 14 14 14 13 13 13 12 14 15 16 16 14 14 14 14 15 14 12 9 9 15 20 16 15 14 15 16 17 17 18 17 17 16 17 17 16 17 17 17 16 16 17 17 18 18 17 15 14 14 13 13 12 11 10 10 10 9 10 10 11 12 12 12 12 12 12 12 11 11 11 11 12 11 11 10 11 11 11 10 11 11 11 12 12 14 16 18 17 14 13 11 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 12 11 11 10 11 11 11 11 11 11 11 11 10 10 11 10 9 10 10 10 11 11 10 11 11 11 11 11 11 14 17 17 15 14 13 13 14 14 14 14 13 12 11 11 12 12 12 12 13 14 13 14 15 16 16 14 12 10 10 12 14 14 13 13 12 12 12 13 10 5 2 3 10 17 23 24 22 18 13 11 11 10 10 10 11 12 12 11 12 12 13 13 13 14 13 13 13 14 15 16 16 14 14 12 12 13 14 15 15 15 16 16 15 16 17 16 14 14 15 15 15 14 14 12 13 13 13 14 14 14 14 14 14 15 15 16 16 14 14 15 14 13 12 13 13 13 nan
nan nan nan nan nan nan nan 16 20 16 14 7 6 9 14 14 11 9 12 16 18 19 16 11 6 6 10 18 20 19 18 16 10 2 0 4 11 15 15 12 6 7 13 13 14 14 12 10 11 16 17 16 17 14 13 15 18 18 18 15 13 14 18 24 26 26 22 18 15 16 17 15 12 10 8 7 8 10 10 10 12 14 16 16 14 7 5 9 10 10 10 10 10 10 10 8 8 10 10 8 6 6 8 11 15 14 10 10 11 10 9 8 10 12 12 12 12 12 12 12 12 12 14 15 15 13 12 12 11 10 11 11 11 11 11 11 12 13 13 13 13 13 13 14 13 11 12 13 14 15 13 10 10 13 15 15 15 14 14 13 13 13 12 12 14 13 13 13 13 13 14 13 12 12 12 12 13 13 13 12 11 11 11 12 11 11 11 13 15 15 13 12 11 12 14 15 16 15 14 13 12 12 13 12 12 11 11 11 13 13 12 11 10 9 11 19 20 15 15 15 14 14 13 13 13 13 12 12 12 13 14 15 15 14 13 13 13 15 16 17 15 13 14 16 17 17 15 11 8 11 16 16 14 13 15 16 19 21 23 20 16 15 14 15 15 16 16 15 15 15 15 15 16 15 15 15 15 15 14 13 12 11 10 11 11 10 11 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 12 13 14 14 13 12 10 9 9 9 9 10 10 10 11 11 10 11 10 10 10 11 11 11 11 10 10 11 11 12 12 11 11 11 12 11 11 11 10 10 11 11 11 11 11 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 13 16 15 14 13 14 14 15 15 14 12 11 10 11 12 12 12 12 12 12 13 13 14 13 14 15 14 13 13 14 17 19 20 16 14 13 13 12 12 13 11 9 9 15 22 29 26 19 17 15 12 10 11 11 10 10 11 12 12 12 12 13 13 14 15 14 13 13 13 15 16 16 15 14 13 13 13 14 15 15 14 15 16 17 18 17 15 11 11 14 15 14 14 13 13 14 14 14 13 15 15 15 14 14 14 14 15 15 15 15 15 14 13 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 12 10 8 12 15 17 16 15 13 12 8 12 21 18 13 12 15 14 10 8 9 12 17 19 16 10 7 6 10 11 12 12 11 13 16 17 19 17 14 13 14 17 18 18 17 14 13 17 18 19 20 21 21 19 18 16 15 13 11 9 8 9 10 11 10 9 9 11 14 15 13 8 7 9 11 10 10 10 11 13 13 12 12 10 8 8 8 8 10 12 11 10 11 12 12 11 9 9 10 12 12 11 11 12 12 12 13 14 15 15 13 12 11 10 10 11 11 11 11 12 12 12 12 13 13 12 12 14 14 14 13 13 13 12 12 11 10 11 13 14 13 13 13 13 13 13 13 12 12 14 14 14 13 13 13 12 13 13 13 13 12 12 12 13 12 11 11 11 11 11 11 11 13 15 15 13 11 9 7 9 16 25 25 19 15 12 12 13 12 12 11 10 12 13 13 13 12 11 8 8 14 16 14 15 15 15 15 15 13 13 13 13 12 11 11 12 15 17 15 14 12 11 12 14 16 16 14 13 14 14 16 18 19 16 13 14 15 15 14 13 11 14 19 23 22 18 16 14 14 14 15 16 15 15 14 14 14 15 15 16 16 16 16 15 14 13 12 12 12 13 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 12 12 10 10 10 10 10 11 11 12 13 14 17 16 14 10 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 10 10 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 10 10 11 10 10 11 11 11 12 11 12 12 12 13 15 15 14 13 13 15 15 13 11 7 5 5 8 12 12 13 12 12 12 13 13 13 13 13 13 13 14 15 18 20 20 22 19 15 14 13 12 11 12 12 13 13 15 18 20 20 17 14 13 12 12 11 11 12 11 12 12 12 13 13 13 13 13 14 14 13 13 13 14 15 16 16 15 13 13 15 15 14 14 14 14 15 16 18 20 18 14 9 10 13 15 14 13 13 14 13 13 13 13 14 15 15 15 15 15 15 15 15 15 15 15 15 13 13 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 11 9 9 17 19 15 7 8 13 22 21 12 11 11 15 16 13 9 8 8 7 9 10 12 13 14 15 14 14 13 10 9 11 14 17 18 16 11 12 15 14 13 13 16 16 17 16 14 12 11 9 9 8 10 11 11 11 9 8 8 10 14 17 12 9 10 11 12 12 12 14 16 16 15 13 12 12 13 12 10 9 10 10 9 10 10 11 11 11 10 11 11 11 11 11 12 12 12 12 13 14 14 14 13 12 10 10 10 12 12 13 13 12 12 12 12 13 13 13 14 15 15 13 13 12 11 11 11 12 13 15 15 12 11 12 13 13 13 13 12 13 13 14 14 13 12 13 13 13 13 12 13 13 13 13 13 12 11 11 11 11 11 10 11 13 14 14 13 12 8 3 1 6 20 31 30 25 18 13 12 12 11 10 10 11 13 13 13 13 13 12 11 11 11 12 13 14 15 15 15 15 14 14 13 12 12 11 11 14 17 16 15 13 11 11 12 15 16 16 14 13 11 9 17 23 19 15 15 16 16 15 12 6 3 8 13 18 19 19 18 17 16 15 16 15 15 15 15 15 15 16 17 17 17 16 15 14 14 13 13 12 12 12 11 12 12 12 11 12 11 11 12 11 10 11 11 11 11 12 11 11 11 12 11 11 13 15 16 17 16 14 12 10 9 9 10 11 11 11 11 11 11 10 10 10 11 11 11 10 11 11 11 10 11 11 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 11 11 11 12 12 11 12 12 12 13 13 14 14 14 14 14 14 11 8 4 3 6 8 11 13 13 13 12 12 12 13 14 13 13 13 12 13 14 17 21 22 19 16 14 13 13 13 13 13 12 13 13 14 14 13 13 13 12 13 13 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 13 12 12 13 15 16 16 16 16 14 13 14 15 14 14 13 13 14 16 20 21 17 12 10 11 13 14 12 13 14 14 13 12 13 14 14 14 14 14 15 15 15 15 15 16 16 15 15 14 13 12 12 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 12 7 11 20 17 12 8 8 9 11 10 10 9 11 10 8 9 12 13 13 11 10 11 11 10 10 11 12 14 15 15 12 13 12 9 7 6 7 8 12 13 12 10 10 9 8 9 10 11 11 10 8 8 8 9 14 16 11 8 9 11 13 14 15 16 16 15 14 13 12 12 13 12 11 12 12 12 9 8 8 9 11 12 11 10 10 11 12 11 12 12 12 12 13 13 14 14 13 12 10 10 11 13 13 13 13 13 12 12 12 13 13 13 13 14 14 13 12 11 11 12 13 14 15 15 15 12 11 11 12 12 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 13 13 12 10 7 1 -1 4 15 25 30 28 21 15 12 12 12 11 11 11 12 13 14 14 14 13 12 11 12 12 14 14 14 15 16 17 17 15 14 15 14 13 14 15 16 16 15 13 11 12 13 16 17 17 15 11 7 11 19 18 16 15 16 16 17 17 13 7 6 8 12 16 18 19 18 17 16 16 16 16 16 15 15 16 16 16 16 16 16 15 14 13 13 13 12 12 12 11 12 12 12 12 11 12 12 13 13 12 10 11 12 12 11 12 12 12 12 13 15 15 16 16 14 10 9 9 10 10 10 11 11 10 10 11 10 10 9 10 10 10 11 11 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 12 12 12 11 10 11 11 11 10 9 9 10 11 12 12 12 12 12 13 12 12 12 13 13 13 14 14 15 16 16 15 12 9 8 8 10 12 14 14 13 13 12 12 12 13 13 13 13 13 12 12 12 14 18 20 19 16 13 12 12 13 12 12 13 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 13 14 14 15 14 14 14 14 13 12 13 15 15 16 16 16 15 14 13 14 14 14 14 13 14 15 16 18 21 17 12 11 11 12 11 12 13 14 13 12 12 13 14 15 14 14 13 13 14 14 15 16 17 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 7 13 17 16 13 12 11 9 8 8 9 11 11 11 12 13 13 13 13 11 12 13 14 16 17 12 7 5 4 5 6 8 10 10 11 11 11 11 12 11 10 8 7 6 7 9 12 16 14 9 6 9 11 13 14 14 14 13 12 12 12 11 11 11 12 11 9 8 8 7 7 7 9 11 12 11 10 10 11 12 12 12 12 12 12 13 14 14 13 13 12 11 10 11 13 14 13 14 14 12 11 12 12 13 13 13 13 13 12 12 12 12 13 14 15 15 15 14 12 11 11 12 13 14 14 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 14 13 12 12 12 12 11 11 11 12 13 12 12 12 13 13 14 10 3 0 2 9 18 32 32 19 13 12 12 12 12 12 12 12 14 15 14 13 13 12 11 11 13 14 13 12 15 20 25 21 16 18 17 16 16 15 15 14 14 14 13 12 12 14 15 16 16 13 11 12 14 16 17 16 15 16 17 18 18 15 11 9 9 11 13 16 17 17 17 16 16 16 16 16 16 16 16 15 16 15 15 15 14 13 13 13 13 13 13 12 12 12 12 12 11 12 12 12 13 12 12 12 12 12 13 14 14 14 16 17 18 17 14 12 10 9 10 10 10 11 10 11 11 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 9 9 9 9 10 11 12 12 12 12 12 13 13 13 13 14 13 13 15 16 17 16 14 12 11 11 11 11 13 14 14 13 13 13 12 13 13 13 13 14 14 13 12 12 12 13 18 21 18 15 13 12 12 12 12 13 13 13 13 12 12 11 12 12 12 11 10 11 11 12 12 12 12 12 13 13 13 13 15 15 15 16 15 13 13 14 15 15 16 16 15 13 13 14 14 14 14 13 13 14 16 17 17 18 18 15 13 10 10 11 13 15 14 12 11 11 13 13 13 14 14 14 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 10 12 11 10 10 12 13 14 14 13 14 15 14 17 19 19 15 10 8 8 9 11 13 13 12 12 12 13 14 13 10 9 8 10 12 14 17 19 14 9 8 9 11 12 13 11 10 10 11 12 11 11 11 12 12 11 9 8 7 6 5 7 9 10 10 10 10 10 11 11 12 12 12 12 12 13 14 14 13 12 11 10 11 13 13 14 14 14 13 12 11 11 12 13 13 12 12 12 12 13 13 12 13 14 15 14 14 13 13 12 12 12 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 13 14 14 13 13 13 12 12 11 11 12 12 12 12 13 13 13 13 14 13 9 3 -0 5 25 36 27 20 14 12 12 11 12 13 13 13 14 15 15 14 14 13 12 13 14 10 5 5 15 27 26 21 22 20 17 17 17 15 13 12 12 13 13 12 12 12 14 14 13 13 14 14 15 15 15 15 15 15 15 15 14 12 11 10 10 10 12 15 16 16 16 15 16 17 16 17 18 17 17 16 16 16 15 14 13 13 13 13 13 13 13 13 13 13 12 12 12 13 13 13 14 15 16 16 17 17 18 19 19 19 18 16 13 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 10 11 11 12 12 12 13 12 12 13 14 14 13 13 15 16 15 12 9 9 11 10 10 11 12 13 13 13 13 13 13 14 14 14 13 13 13 13 13 13 13 16 20 22 21 16 13 12 12 12 12 13 13 12 12 11 10 10 10 10 10 10 10 11 11 11 11 11 12 13 14 14 14 13 14 14 14 14 14 14 14 15 15 16 14 14 14 13 13 14 13 14 14 14 14 13 13 15 16 17 18 16 14 12 11 11 13 14 14 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 9 10 10 10 11 11 11 11 11 10 9 10 12 13 16 21 25 30 32 30 27 28 34 39 42 43 40 39 42 38 28 24 24 22 22 24 25 27 28 32 35 34 31 28 25 23 22 20 18 18 18 19 20 16 12 11 12 12 11 11 11 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 5 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 2 5 4 3 4 3 1 0 0 0 0 0 2 10 20 32 44 51 51 50 51 52 47 37 24 12 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 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 9 7 2 0 0 0 0 0 2 18 30 24 13 4 0 0 0 0 0 0 0 0 3 9 16 24 27 31 36 42 47 51 52 50 50 52 49 42 32 22 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 15 19 29 46 73 101 116 109 104 108 116 122 114 92 76 78 74 61 61 82 105 109 103 94 86 82 80 81 82 83 91 94 91 76 67 69 78 89 107 137 171 192 202 204 209 210 214 206 198 185 172 161 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 9 10 11 10 10 10 10 9 8 7 5 4 6 7 9 12 14 18 23 25 24 23 26 31 36 40 41 41 41 36 28 23 23 22 23 22 23 24 24 27 31 31 28 25 23 20 20 19 17 17 17 18 16 13 12 12 11 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 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 2 5 4 1 2 2 1 0 0 0 0 0 1 6 15 25 39 48 49 48 47 45 40 33 24 14 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 1 0 0 1 2 3 2 1 1 0 0 0 0 2 3 4 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 3 8 12 11 4 0 0 0 0 0 4 18 29 21 10 4 1 0 0 0 0 0 0 0 0 1 3 9 18 27 29 28 28 30 33 33 35 36 40 41 41 35 27 18 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 11 43 69 102 113 106 110 121 129 129 119 108 100 89 87 102 122 135 140 132 119 106 100 99 99 100 104 112 115 108 92 81 81 90 100 117 151 178 193 204 208 211 210 210 204 195 183 177 173 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 6 7 8 8 8 9 9 8 8 7 6 4 4 5 6 7 8 11 16 20 24 23 22 25 29 33 36 38 38 35 29 27 28 31 34 32 28 25 24 25 27 27 24 22 21 19 19 17 15 13 14 13 11 9 9 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 0 1 4 8 16 28 39 43 43 41 38 32 26 20 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 5 4 3 2 0 0 0 3 5 4 1 2 4 3 3 4 5 3 1 0 0 0 0 0 0 0 1 4 10 15 14 10 4 1 0 0 0 3 16 28 19 8 4 0 0 0 0 0 0 0 0 0 0 0 0 4 16 21 17 9 9 15 14 10 13 21 27 32 30 28 24 24 11 4 1 0 0 0 0 0 0 2 5 2 3 4 1 0 0 0 0 0 0 0 5 32 56 89 118 122 120 125 134 136 133 126 114 102 101 114 127 134 136 134 129 119 112 110 106 102 107 120 124 115 104 100 102 112 122 136 155 173 183 192 201 207 203 196 194 189 180 177 175 172 nan nan nan nan nan nan nan nan nan nan 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 5 6 6 7 7 8 8 8 7 6 6 6 6 6 6 7 9 13 16 19 20 22 25 28 31 33 35 35 33 32 34 37 38 37 34 29 26 26 24 23 22 20 18 17 16 14 11 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 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 1 2 1 0 1 0 0 0 0 0 0 0 0 1 3 8 19 29 35 37 36 32 26 20 15 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 5 5 6 4 2 1 1 4 5 3 2 5 7 7 6 6 6 4 3 1 0 0 0 0 0 0 1 5 13 17 17 14 10 5 1 0 0 4 16 25 17 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 10 2 1 11 11 9 2 4 10 12 12 16 14 28 25 12 3 0 0 0 0 0 0 8 17 10 4 9 6 2 3 2 0 0 0 11 41 61 82 105 127 136 131 132 138 140 139 137 131 116 110 116 126 129 123 122 119 115 112 108 101 99 106 120 127 128 126 128 134 142 143 132 129 143 152 159 181 194 185 181 183 182 177 178 178 172 nan nan nan nan nan nan nan nan nan nan 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 4 4 4 5 5 6 7 8 7 6 6 6 6 5 5 6 7 9 13 16 17 21 24 28 30 33 36 37 33 33 35 35 35 33 29 26 26 25 24 20 17 15 13 11 9 7 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 4 12 20 27 31 32 29 24 19 13 6 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 2 2 3 4 4 4 4 5 5 4 3 3 3 2 2 6 12 12 11 9 7 5 4 4 3 1 0 1 1 0 0 1 6 13 18 18 18 16 13 7 0 0 5 16 20 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 7 16 14 11 8 5 3 1 4 6 6 20 23 11 8 7 7 5 1 0 0 13 32 34 19 10 21 17 17 28 25 9 13 61 99 97 100 112 130 139 141 140 142 142 143 144 142 125 114 117 125 127 123 119 114 111 110 107 102 99 103 114 126 136 147 157 166 170 161 131 102 106 114 122 148 172 173 172 177 178 174 174 178 171 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 3 3 2 3 3 3 3 4 4 5 6 6 6 6 5 5 5 4 5 5 6 8 10 13 15 18 22 25 29 32 33 30 29 30 33 34 29 24 22 20 22 22 18 12 9 8 6 5 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 7 14 22 27 29 28 25 21 15 6 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 4 3 4 6 5 4 3 1 0 2 13 21 20 19 14 8 5 4 5 5 3 2 5 4 0 0 1 5 12 16 18 18 18 18 16 9 3 9 15 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 16 21 21 21 15 14 15 13 16 20 23 25 23 18 22 24 15 7 6 17 39 54 47 33 38 40 46 75 73 55 42 80 118 103 90 109 125 132 138 143 143 143 143 147 149 136 123 122 126 123 118 114 110 108 108 108 105 103 104 110 121 133 151 171 185 185 171 143 118 108 108 116 131 151 162 168 174 176 170 166 166 160 nan nan nan nan nan nan nan nan nan 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 4 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 3 4 4 5 5 7 9 10 12 15 18 21 24 25 26 25 26 27 28 25 20 15 14 16 16 13 8 5 3 3 3 2 2 3 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 21 25 27 26 24 18 9 1 0 1 6 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 5 5 5 9 12 12 7 3 3 8 18 27 29 25 20 13 7 5 5 6 6 3 1 5 6 1 0 0 2 10 14 15 15 16 17 19 19 18 18 18 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 25 35 36 29 25 20 16 19 25 37 44 36 25 33 46 50 43 38 38 44 60 85 84 88 92 93 122 118 116 104 101 122 104 96 113 123 128 136 144 143 140 139 145 151 144 131 129 130 124 116 110 106 103 104 107 112 113 111 111 117 127 140 162 181 185 172 148 128 119 117 123 130 138 148 158 165 168 166 160 155 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 7 6 4 2 2 2 2 2 3 3 4 4 4 4 4 3 2 2 2 3 4 4 5 5 7 8 10 12 14 16 18 20 21 22 23 23 21 16 11 8 9 9 8 6 3 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 14 18 22 24 25 20 13 6 4 7 11 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 8 7 8 8 12 18 22 20 14 10 12 20 31 36 33 25 15 7 6 6 6 7 6 4 0 3 5 3 0 0 1 7 12 13 13 12 14 18 22 26 27 23 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 5 4 9 23 32 32 27 20 10 5 10 24 46 56 47 31 39 54 65 66 66 68 61 59 92 109 116 120 135 142 139 142 137 125 117 107 105 117 124 125 131 134 133 131 133 141 146 144 139 137 136 130 122 114 107 102 102 109 121 127 122 114 115 122 131 143 161 169 163 145 127 118 114 118 123 128 137 148 156 160 160 157 152 145 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 8 7 5 2 1 1 2 2 2 2 2 3 4 4 4 3 2 1 0 1 2 2 2 2 4 6 7 8 9 11 13 14 14 15 16 17 15 11 8 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 3 3 4 4 2 2 2 1 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 16 20 20 16 11 10 14 13 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 9 10 13 16 20 26 28 25 20 19 25 32 38 37 29 20 11 6 6 7 8 8 7 5 0 0 1 2 0 0 0 2 6 9 8 5 8 12 20 28 32 26 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 11 12 14 17 20 20 19 18 14 11 6 2 15 46 65 64 47 44 54 64 68 70 73 76 70 78 99 112 115 122 129 136 144 145 138 128 119 116 122 126 123 120 118 118 120 127 137 144 147 147 145 143 137 128 120 113 108 109 118 132 139 132 119 115 117 121 127 137 146 146 137 123 110 104 105 112 123 135 147 154 158 159 157 151 142 136 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 5 6 7 7 4 0 0 0 1 1 0 0 1 2 3 4 4 4 3 1 0 0 0 0 0 1 2 4 5 5 5 7 10 12 12 10 11 11 11 9 7 7 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 8 10 10 11 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 11 12 16 22 27 31 30 28 26 28 35 38 35 30 22 16 9 7 7 8 9 9 8 6 2 0 0 0 0 0 0 0 1 2 2 1 1 4 11 19 25 22 13 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 12 15 17 16 15 14 14 14 14 3 2 36 67 89 89 70 55 62 73 78 80 81 89 91 86 82 99 118 127 130 135 147 152 145 136 128 125 129 130 122 113 109 108 115 126 135 144 150 153 150 146 142 133 126 120 118 122 131 141 146 140 127 116 110 106 110 117 125 130 128 119 107 99 97 102 115 134 150 158 160 162 161 150 136 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 4 5 6 3 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 1 0 0 0 0 0 0 1 3 4 3 4 6 10 12 12 10 8 8 7 7 9 10 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 10 11 11 15 24 30 33 31 30 30 34 34 28 22 17 14 12 8 8 8 9 10 10 10 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 11 8 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 12 14 13 12 14 15 12 4 15 46 80 109 114 96 82 85 98 100 96 93 96 98 96 95 100 116 131 136 140 148 150 144 139 133 127 128 126 119 112 103 100 110 126 133 140 147 151 150 146 142 138 132 128 127 130 135 140 146 145 134 120 109 100 97 100 106 111 113 109 102 97 94 94 101 119 143 157 165 165 158 141 123 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 4 5 4 2 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 2 2 1 1 0 0 0 1 3 3 4 5 9 14 16 14 10 8 7 8 10 10 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 10 10 15 23 29 33 34 32 30 26 18 10 6 4 6 7 8 9 9 9 10 10 10 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 9 10 11 14 17 25 37 50 63 86 117 131 120 106 103 108 107 99 93 90 92 98 104 111 120 132 139 142 145 146 141 135 129 123 121 118 114 112 102 94 103 116 121 126 136 143 144 143 141 139 134 130 128 129 130 132 138 141 136 125 116 106 97 92 92 94 96 96 95 94 93 92 90 99 122 142 159 161 150 129 106 88 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 11 8 6 5 7 8 5 2 1 0 0 0 0 0 0 0 0 1 2 3 4 5 6 6 5 4 2 0 0 0 2 3 4 4 7 13 19 21 17 13 10 10 11 10 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 17 22 27 30 31 29 22 11 2 0 0 0 3 4 5 6 7 7 7 9 9 8 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 8 12 16 34 58 75 81 87 112 137 137 119 105 102 100 95 92 88 88 98 111 122 129 140 144 140 138 136 136 130 124 121 117 114 115 115 107 98 102 109 113 117 126 135 139 139 137 135 131 126 124 123 124 126 128 130 129 125 119 110 101 92 86 86 90 91 91 94 95 96 95 96 104 115 134 143 137 118 91 70 58 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 12 10 8 7 10 13 10 5 3 4 3 1 0 0 0 0 0 0 0 0 1 3 4 5 6 6 4 2 0 0 0 1 2 2 3 8 16 23 23 19 16 14 13 12 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 14 21 24 26 24 20 13 6 3 0 0 0 0 0 1 1 2 2 2 4 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 3 5 9 29 62 93 105 103 108 127 135 122 105 98 96 96 96 93 92 99 110 123 136 148 146 137 131 126 125 123 123 124 122 120 119 118 112 104 102 105 108 113 122 132 138 138 134 130 126 121 119 120 122 123 122 120 122 123 121 113 104 96 90 88 88 89 89 92 98 101 99 98 100 104 119 131 128 112 87 70 64 nan nan nan nan nan 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 7 9 8 8 12 16 15 9 6 7 7 4 2 2 1 0 0 0 0 0 0 0 0 1 2 3 3 2 0 0 0 0 0 0 0 2 7 17 25 26 23 20 17 15 13 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 2 2 3 4 6 7 10 17 19 20 18 11 8 7 5 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 6 25 59 99 124 121 110 114 125 127 119 106 99 103 105 99 94 99 108 122 137 145 142 132 126 123 120 118 118 122 124 125 125 124 117 107 101 100 103 109 120 130 136 134 128 119 114 113 114 117 121 122 121 118 117 118 118 116 108 100 94 90 86 81 80 84 93 104 104 104 111 119 129 130 126 111 82 68 68 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 4 6 7 7 9 13 14 10 6 6 7 6 4 3 2 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 2 8 18 25 27 25 21 18 16 13 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 5 5 4 3 4 4 5 6 7 10 11 13 11 8 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 21 52 87 119 124 114 114 125 130 130 111 96 106 108 96 90 94 105 118 130 135 131 123 118 118 118 115 113 116 120 123 125 126 121 110 102 99 100 103 113 125 130 129 124 116 110 111 112 114 118 120 120 117 112 106 104 105 104 99 95 92 88 83 79 79 87 102 115 120 125 122 118 97 108 95 68 54 56 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 4 4 3 3 6 9 8 6 5 5 4 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 22 23 21 18 17 14 11 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 4 5 6 7 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 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 2 6 16 39 64 92 113 118 120 124 130 130 110 95 98 98 89 84 88 99 111 119 123 121 114 110 108 107 105 104 107 111 115 119 123 122 115 108 107 106 102 106 117 121 120 120 120 120 118 118 118 119 118 117 116 109 98 87 80 79 80 83 88 93 95 94 92 91 100 122 129 125 114 96 72 70 76 72 68 72 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 4 3 2 0 0 2 5 6 6 5 4 3 3 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 15 17 17 16 14 11 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 2 5 8 9 7 6 5 5 5 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 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 1 2 0 0 0 0 2 6 8 13 32 45 68 97 109 106 110 121 127 113 97 94 90 83 80 85 94 104 113 117 116 112 106 102 97 94 93 94 96 99 104 111 117 116 114 118 114 104 103 110 114 113 116 119 119 119 120 118 116 114 113 112 108 99 84 67 57 54 61 73 89 103 111 114 110 110 122 130 128 122 110 92 80 87 100 110 116 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 18 16 12 6 2 0 0 1 3 4 3 2 3 4 5 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 1 3 7 11 14 15 14 12 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 4 8 11 9 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 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 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 3 6 7 7 3 2 4 9 9 11 26 36 53 77 96 92 87 95 106 105 99 96 90 83 82 85 91 99 107 112 114 114 108 102 96 91 88 86 86 86 88 92 102 108 113 117 114 107 106 112 114 113 115 118 120 122 122 118 109 107 109 108 105 102 94 79 60 50 53 64 80 98 116 129 129 124 126 131 131 132 136 136 124 117 126 134 138 136 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 17 17 14 8 3 0 0 0 1 1 0 0 1 4 9 16 17 11 5 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 13 14 13 10 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 0 0 0 0 0 0 1 2 3 4 7 9 10 9 8 8 9 8 7 6 5 5 6 6 6 6 6 6 6 7 6 6 6 6 8 8 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 4 3 4 8 16 22 22 11 7 9 10 9 10 18 29 41 60 83 91 83 78 85 93 98 98 94 89 88 89 91 94 98 102 107 109 107 101 92 87 85 82 80 81 83 86 91 95 101 107 107 106 110 118 117 114 116 117 120 124 124 124 112 107 107 104 101 101 99 94 82 71 67 72 84 99 119 137 143 138 133 136 138 141 149 159 159 146 137 138 144 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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