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