Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 4 3 2 2 3 3 4 5 6 6 7 8 7 8 8 8 8 8 8 7 6 5 5 4 4 3 2 3 3 3 4 5 5 6 7 7 7 6 6 6 5 5 4 3 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 6 7 7 6 6 6 6 7 7 8 9 9 9 8 8 7 7 7 7 7 7 5 4 5 8 10 9 8 8 8 8 8 8 7 5 4 4 6 11 11 7 4 3 4 5 7 11 16 15 11 3 1 10 11 2 7 8 7 6 6 4 1 -0 1 2 2 -0 1 5 5 3 3 5 5 3 1 2 5 7 6 6 4 3 4 5 5 5 6 7 9 10 10 10 13 13 6 3 7 10 10 8 7 10 18 28 35 33 25 14 5 3 2 2 2 3 2 2 2 3 4 6 13 20 19 12 6 4 4 4 3 3 3 3 3 3 4 3 3 3 3 2 1 1 1 1 1 2 2 2 3 4 3 3 7 22 26 14 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 5 4 4 4 5 5 6 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 5 7 7 7 6 5 4 3 4 4 4 5 5 5 4 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 0 1 1 1 2 1 1 1 1 4 4 4 8 10 7 4 6 6 3 2 3 3 4 1 4 5 3 1 -0 -3 -14 -21 -22 -21 -15 -11 -11 -10 -6 0 4 4 4 4 5 8 9 10 12 7 4 7 9 12 14 15 13 11 10 10 9 10 11 9 7 5 5 4 4 5 5 6 7 8 8 7 5 3 2 2 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 4 2 2 2 3 4 4 4 5 5 5 6 7 8 8 9 9 8 8 7 6 6 6 5 4 4 4 3 4 4 4 5 6 7 7 7 6 5 5 4 4 3 3 3 3 3 3 3 3 4 4 3 3 4 4 3 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 7 8 9 10 10 10 10 9 9 9 8 7 7 7 6 5 4 5 7 10 9 8 8 8 8 8 7 6 5 5 4 6 12 15 10 7 8 11 9 8 12 18 15 8 1 -4 1 3 4 7 6 4 0 -1 2 4 3 3 3 2 0 1 5 5 2 1 3 5 7 7 6 4 3 5 5 3 3 3 1 2 4 6 7 11 13 10 9 11 10 6 7 11 14 14 11 11 16 24 30 29 24 16 8 3 3 2 2 2 2 3 3 3 3 4 9 17 21 16 8 5 4 4 4 3 3 2 3 3 3 4 4 4 3 3 2 1 1 1 1 1 1 1 1 2 3 3 3 7 22 29 19 8 5 5 5 5 6 7 6 5 4 4 3 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 5 6 7 7 6 6 4 4 3 3 3 4 5 5 5 4 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 1 -0 0 1 0 0 1 1 1 0 -0 -1 0 6 11 11 8 7 4 7 8 7 7 7 6 5 8 8 -2 -9 -5 -2 -2 -2 -3 -6 -6 -1 4 5 5 4 5 5 6 7 8 6 5 7 9 12 14 15 13 10 8 7 6 6 5 4 4 4 5 5 5 5 5 6 7 8 9 9 6 3 2 2 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 6 5 3 2 2 3 3 3 4 4 4 4 4 5 6 8 9 8 8 8 8 8 8 8 7 6 6 6 5 4 4 4 4 5 6 6 6 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 3 3 4 3 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 3 3 4 4 4 4 4 4 4 3 4 4 4 3 4 4 5 4 4 4 5 5 5 5 6 6 6 6 6 6 6 8 9 10 11 11 10 10 10 10 9 9 8 7 7 6 5 4 4 7 9 9 9 8 8 8 7 6 6 5 5 5 8 13 13 10 10 11 10 3 4 10 15 11 6 2 -5 -7 -2 8 6 1 1 1 1 1 2 2 2 3 3 2 4 6 5 2 2 3 4 6 7 6 5 3 3 3 3 5 6 2 1 4 7 8 10 11 11 10 7 4 5 10 14 16 14 13 13 17 20 19 18 15 10 5 3 2 2 2 2 2 3 3 3 4 6 12 19 18 12 6 4 4 4 4 3 3 3 3 3 3 4 4 4 3 2 2 2 1 1 1 1 1 1 1 2 3 4 5 7 26 40 22 7 5 4 5 5 6 6 5 5 5 4 5 4 4 5 5 5 5 5 5 5 3 1 0 -0 -3 -3 1 4 4 4 5 5 5 5 4 5 4 3 3 4 5 6 6 5 5 5 4 4 3 3 3 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 3 3 2 1 1 0 0 0 -0 -0 -0 -1 -0 -0 -1 -1 -0 1 1 -3 -9 -12 -4 7 10 9 5 3 6 10 11 9 8 6 5 8 10 7 2 3 7 5 4 3 -0 -1 3 7 8 5 4 5 5 6 6 5 6 6 7 8 10 12 13 12 9 7 6 5 4 3 4 4 4 5 6 6 5 4 5 6 8 10 10 8 5 3 2 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 5 6 5 3 3 3 3 3 3 3 3 3 3 3 3 4 6 7 8 8 8 9 9 9 8 7 7 7 7 6 6 5 5 4 4 5 6 5 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 9 10 10 10 9 9 9 10 10 10 9 8 8 7 7 6 4 4 6 9 9 8 8 8 7 6 6 6 6 5 3 -1 -0 5 11 10 9 6 -1 1 10 8 6 7 6 -0 -4 0 6 1 -1 2 6 7 5 4 2 1 3 4 6 9 8 5 3 3 3 3 4 4 3 5 5 3 2 3 6 9 8 4 4 6 8 7 9 15 15 8 6 7 10 14 15 13 13 15 15 15 14 12 8 5 4 3 2 2 2 3 3 3 3 3 4 8 15 19 15 9 5 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 2 2 2 1 1 1 1 1 2 3 4 6 7 10 31 44 20 6 5 5 6 6 6 4 4 5 5 5 5 5 4 4 5 5 5 5 5 6 5 1 0 1 -2 -4 -1 3 4 4 5 5 4 4 4 4 4 3 3 4 6 6 6 4 4 5 5 4 4 3 3 3 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 5 4 5 5 4 4 4 4 4 3 3 3 2 2 1 1 1 0 0 0 1 1 -0 -0 -1 -3 -3 -1 0 1 1 -5 -11 -10 -1 6 8 5 2 4 7 11 13 10 6 5 6 10 12 10 8 5 3 3 4 3 4 8 12 10 5 3 4 5 6 5 5 6 6 6 7 9 10 11 10 8 7 6 5 4 4 4 4 4 5 6 6 6 4 5 6 7 10 11 9 7 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 6 5 4 3 4 4 3 3 3 3 3 3 3 3 3 4 5 6 6 7 9 10 10 9 8 6 6 6 6 6 6 5 5 5 5 6 5 4 4 4 4 4 5 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 6 7 9 10 10 9 7 7 8 9 9 10 10 9 8 7 7 6 6 4 4 6 8 10 9 8 8 7 6 6 6 6 4 -2 -14 -21 -6 10 9 8 8 3 -3 1 4 8 10 8 5 3 4 3 1 3 6 9 9 7 6 5 4 7 8 8 12 9 6 5 4 3 3 4 4 4 4 5 4 6 8 7 8 8 7 4 -0 2 7 10 14 15 13 11 11 12 14 13 14 15 14 13 12 11 8 5 3 3 3 3 2 3 3 3 3 3 4 6 11 17 17 12 6 4 4 4 3 3 4 3 3 4 4 4 4 3 3 3 2 2 2 2 1 1 1 1 2 3 5 6 7 8 12 31 41 21 7 5 5 6 6 5 4 5 4 5 5 5 5 5 5 6 6 5 5 4 5 5 2 -1 2 8 6 3 3 4 5 5 5 5 3 3 4 4 3 3 3 5 6 6 4 3 3 4 5 4 4 3 4 4 4 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 2 2 1 1 1 1 2 2 2 2 0 -1 -3 -2 2 3 4 6 7 2 -2 -1 4 7 7 4 3 5 8 14 15 11 9 6 8 14 14 11 6 3 4 5 5 5 8 12 12 7 2 1 3 5 6 6 6 7 6 6 8 10 11 10 9 7 6 5 4 4 5 4 5 6 6 6 6 4 4 5 7 9 10 10 7 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 4 5 4 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 7 9 10 10 8 7 6 6 6 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 3 3 4 4 5 4 4 4 4 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 6 7 8 10 10 10 8 7 8 9 10 10 10 10 10 8 7 7 7 6 5 5 6 8 9 9 8 7 6 6 6 6 5 4 -0 -8 -10 -2 2 0 5 10 2 -13 -11 2 10 11 9 6 5 4 4 4 4 5 6 7 7 6 6 7 10 11 8 8 7 6 5 5 5 8 7 6 6 6 5 5 8 10 9 2 -0 7 8 -1 -1 10 13 12 12 13 12 12 13 14 14 14 15 12 10 8 7 5 4 4 3 3 3 3 3 3 3 3 3 4 8 13 17 15 10 5 4 4 3 3 3 3 4 4 3 4 4 3 3 3 3 3 2 2 2 1 1 1 2 2 3 6 7 8 7 10 29 44 27 8 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 5 5 4 4 4 3 -1 -1 5 10 6 4 4 5 5 5 4 4 3 3 3 4 3 3 4 5 6 4 3 3 3 4 4 4 3 4 5 5 5 6 6 5 4 3 4 4 5 6 6 6 6 6 7 7 7 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 2 2 3 3 4 3 3 5 7 10 9 9 12 12 10 6 2 4 6 7 7 6 5 5 9 13 14 12 8 9 13 13 11 7 5 5 6 5 5 6 10 13 10 4 -1 0 3 6 6 7 7 7 7 8 10 12 11 9 7 5 4 4 5 6 6 6 6 6 6 4 4 4 4 6 7 9 8 7 5 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 3 5 4 3 2 3 3 3 3 4 4 4 3 3 3 4 4 3 3 3 3 4 6 8 10 10 7 6 5 5 4 4 4 4 5 6 6 6 7 7 7 6 6 6 5 5 4 3 3 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 5 6 8 9 9 8 8 9 11 13 12 11 11 11 11 9 8 8 7 6 5 5 6 8 9 9 8 7 6 6 6 5 4 4 3 2 6 11 5 -4 -3 0 -7 -17 -12 4 10 9 6 6 6 6 5 5 5 5 5 5 6 6 7 7 10 9 8 5 4 4 4 5 9 14 10 7 7 7 7 7 5 8 14 3 -4 6 13 7 3 8 12 12 11 12 12 10 12 14 14 12 11 9 7 6 4 4 4 4 3 3 3 3 3 3 3 3 4 5 9 14 16 13 8 5 4 4 3 3 3 3 3 4 3 4 4 3 3 3 3 3 3 2 2 2 1 1 1 2 5 6 7 8 7 7 21 47 36 11 5 5 5 5 6 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 3 3 1 -3 -5 -0 4 5 4 5 5 5 4 4 3 3 4 3 3 3 3 5 6 5 3 2 2 3 3 4 5 5 4 5 6 6 7 6 5 4 3 4 5 6 7 6 7 7 7 7 8 7 7 6 5 5 5 5 4 3 3 3 3 3 3 4 4 3 4 4 5 6 11 17 17 11 6 8 13 12 9 6 5 6 7 6 7 8 8 5 4 6 8 9 9 10 10 9 8 6 5 5 4 5 4 4 8 13 13 7 -0 -3 0 4 6 7 7 7 8 8 10 13 13 10 7 5 4 4 5 6 7 6 6 5 4 4 3 3 4 5 6 7 8 7 6 5 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 3 4 4 2 1 2 2 3 3 3 4 4 4 4 4 4 3 3 3 3 2 2 3 5 8 9 9 7 5 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 3 3 3 3 3 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 5 5 5 7 8 7 7 8 10 12 13 13 12 12 13 12 10 9 8 7 6 5 5 6 8 9 9 8 7 6 6 6 5 4 4 4 2 1 6 10 6 1 -3 -8 -9 -4 4 6 3 2 4 6 8 6 5 6 6 6 5 4 5 5 6 7 5 5 4 3 2 3 5 11 13 9 7 8 8 10 8 2 5 14 12 3 8 13 10 8 7 12 13 9 11 12 11 11 13 13 10 8 7 7 6 4 4 4 3 3 3 3 3 3 3 3 4 5 7 10 14 15 11 7 4 4 3 3 3 4 3 4 4 4 4 3 3 3 3 3 3 3 2 2 2 1 1 2 3 5 7 7 7 6 5 12 38 40 18 8 6 6 7 8 7 6 6 6 7 7 6 5 5 6 5 5 5 5 4 3 3 2 0 -4 -4 1 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 5 5 4 2 1 2 3 4 5 5 4 5 6 6 7 7 6 5 4 4 5 5 6 5 6 7 7 7 7 7 7 7 6 5 5 4 4 4 3 3 4 4 4 4 5 5 5 5 7 12 17 19 15 7 4 3 7 10 7 5 5 5 8 8 7 8 10 8 6 4 4 4 7 9 7 6 5 5 5 4 4 4 4 4 7 11 14 11 2 -4 -4 1 4 6 7 7 7 7 10 12 13 11 7 4 3 4 4 5 6 6 5 4 4 4 5 5 5 5 5 5 6 7 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 5 4 1 1 1 2 3 2 2 3 3 4 4 5 5 4 3 3 3 3 2 2 3 5 7 8 7 6 6 4 3 3 2 2 2 3 3 4 4 4 4 4 4 3 3 4 4 3 3 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 8 10 11 11 12 11 12 13 12 10 9 8 8 6 6 5 5 8 9 9 8 7 6 6 5 5 4 4 4 2 -3 -5 2 10 10 5 2 2 6 5 1 -1 2 5 7 8 6 5 5 6 7 5 5 4 4 5 4 2 3 2 2 3 4 8 11 8 7 7 6 6 9 8 4 3 6 4 2 7 12 9 7 7 13 16 13 12 13 12 9 8 8 8 8 8 7 5 4 4 3 4 3 3 3 3 3 4 4 4 6 7 10 14 14 10 5 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 4 3 3 3 2 2 2 2 3 4 5 6 6 6 6 5 7 20 33 28 17 11 9 9 10 9 8 7 7 7 7 8 8 7 7 6 5 5 4 3 3 3 3 3 1 -2 -0 2 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 3 2 2 3 4 5 5 5 5 6 7 7 7 6 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 4 4 6 7 7 10 18 26 21 13 8 6 5 3 4 6 6 5 5 5 7 9 9 8 8 9 11 9 5 4 6 7 7 6 6 5 5 4 4 4 4 4 5 9 14 13 7 -0 -5 -2 3 5 6 7 7 7 8 11 12 10 6 4 3 4 4 5 5 5 5 4 4 5 7 8 10 8 6 5 6 6 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 6 5 4 2 0 1 2 3 2 2 2 2 2 3 4 5 5 5 4 4 3 3 3 2 3 4 5 6 6 6 5 4 4 3 2 2 2 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 5 5 4 3 4 4 4 4 5 5 4 4 4 4 4 4 3 3 4 4 4 3 3 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 4 4 4 5 5 4 5 5 5 6 5 5 5 5 5 6 6 6 8 10 10 10 11 11 11 11 11 10 9 9 8 7 7 5 6 7 9 9 8 7 6 5 5 5 5 4 3 3 1 -3 -1 5 8 8 9 8 7 6 6 8 8 7 6 7 7 5 5 6 7 7 6 5 4 4 3 3 3 2 3 6 8 10 8 6 6 7 6 6 8 4 4 5 4 -2 -1 4 3 3 3 4 11 18 18 15 12 9 4 1 4 6 7 8 6 4 4 4 4 3 3 3 4 3 3 4 5 5 6 7 9 12 13 9 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 3 3 4 5 6 6 6 6 6 6 6 8 17 25 23 19 17 16 15 13 11 11 9 9 7 7 10 11 9 7 5 5 4 3 3 4 4 4 3 0 0 1 2 2 2 3 3 3 4 5 5 5 4 4 3 4 4 4 5 5 4 4 4 4 4 4 4 4 5 7 8 8 7 6 4 4 4 4 3 3 4 3 4 4 4 4 5 4 4 4 3 3 2 2 2 2 2 2 2 3 5 7 12 20 26 26 16 9 7 7 6 5 5 5 5 4 5 5 7 10 11 9 7 8 11 14 11 7 7 7 7 6 6 5 5 4 4 5 4 4 4 6 11 13 8 5 3 -1 2 5 5 6 7 8 8 9 9 8 5 4 4 4 5 5 5 4 4 4 4 6 8 10 12 11 8 7 5 5 5 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 8 8 6 5 3 1 1 2 3 3 3 2 2 1 2 3 4 5 5 5 5 4 3 3 3 3 2 3 4 5 5 6 5 5 4 3 2 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 4 4 4 3 3 3 4 4 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 7 9 10 10 10 10 10 11 10 9 8 8 8 8 7 6 6 7 9 9 8 7 6 5 4 4 4 4 3 3 3 3 2 4 6 6 6 3 2 7 13 16 12 7 6 7 7 8 7 4 6 9 8 7 5 5 4 4 5 4 5 8 9 10 6 5 6 6 7 8 7 5 6 11 12 3 -0 6 -0 -6 -4 3 11 14 14 12 9 7 5 5 6 7 6 6 5 3 3 3 4 3 3 3 3 3 3 4 5 6 6 6 8 12 13 9 5 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 5 5 6 6 6 6 6 6 6 7 12 16 17 18 20 20 18 16 15 18 17 11 7 8 11 11 9 8 6 7 8 8 6 6 6 5 4 2 1 1 1 2 1 1 2 3 3 4 5 5 4 4 4 4 5 5 5 5 6 7 7 5 2 1 0 1 3 7 8 8 6 5 5 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 2 2 2 2 1 1 0 0 4 9 19 31 27 12 7 7 7 6 6 5 5 5 5 4 4 5 7 11 13 12 9 7 8 10 10 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 8 10 8 6 7 4 3 4 5 6 7 8 7 7 7 6 6 5 5 5 6 6 5 4 4 3 4 6 8 9 12 13 12 9 6 5 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 8 9 8 7 5 3 2 2 2 3 3 3 2 0 1 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 4 3 3 3 4 4 4 3 3 3 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 8 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 8 8 9 8 7 6 5 4 4 4 4 3 3 3 3 2 4 5 2 -4 -6 1 10 14 14 11 6 5 7 8 12 11 3 4 10 10 8 6 5 6 6 5 3 5 8 8 7 6 5 5 6 10 8 7 9 11 15 14 6 2 12 20 10 0 6 12 11 9 8 8 9 12 13 10 7 5 5 4 3 3 3 4 4 4 3 3 3 4 4 5 6 6 6 8 10 12 10 6 4 4 3 2 2 3 3 3 3 4 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 6 6 6 6 5 5 7 9 11 13 15 16 16 16 21 25 22 15 9 7 9 10 11 13 15 18 20 16 12 10 8 6 4 2 2 1 1 1 1 1 1 2 2 3 4 5 4 4 4 5 5 5 5 6 8 10 9 7 2 -4 -5 -4 -1 3 6 6 5 4 4 3 2 1 1 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 1 2 5 5 6 13 20 26 21 9 6 6 5 6 6 5 5 6 6 5 5 8 8 8 10 10 8 6 6 5 6 7 7 7 8 6 5 6 6 6 5 5 6 6 6 6 6 6 7 8 6 3 3 4 5 5 6 7 7 7 6 6 6 6 7 7 7 7 6 5 5 4 4 5 5 6 9 12 10 7 6 6 5 4 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 8 8 8 8 7 5 3 2 2 3 3 3 2 2 2 2 1 2 3 3 4 4 4 3 3 4 4 3 3 2 2 3 4 5 6 5 5 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 3 3 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 10 10 9 8 7 8 8 8 8 9 9 9 8 7 7 8 8 9 8 7 9 8 5 4 4 4 3 4 5 3 -2 -4 -4 -3 -6 -6 5 11 11 12 13 7 3 4 8 14 13 5 3 8 10 8 6 6 7 7 5 3 4 6 6 5 5 5 5 8 12 8 5 9 12 14 11 6 5 17 38 31 13 10 10 9 8 8 9 11 13 13 9 7 6 5 3 4 4 4 4 4 4 3 3 3 4 5 5 6 6 5 7 9 11 11 9 6 5 4 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 6 5 6 6 6 6 6 5 6 6 7 9 10 10 14 20 24 23 18 13 11 10 12 16 18 20 24 25 21 16 12 7 4 4 4 3 3 3 2 1 0 1 1 1 3 3 4 4 4 4 4 4 4 4 6 8 11 11 8 1 -5 -7 -3 1 3 5 5 4 4 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 5 8 13 13 10 12 14 12 10 8 7 7 5 4 4 5 5 5 5 4 5 8 7 6 6 6 5 4 4 4 5 5 7 8 9 9 7 6 6 6 6 6 7 7 7 7 7 6 6 7 8 6 3 3 4 5 5 6 7 7 6 6 7 8 8 8 8 8 8 7 6 6 4 4 4 4 6 10 7 6 6 6 6 5 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 5 7 8 8 8 8 7 4 3 3 3 4 4 4 4 3 2 2 2 3 4 4 4 3 3 4 5 4 3 2 1 2 3 4 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 7 8 9 10 8 7 6 7 7 7 8 8 9 9 9 8 8 8 8 8 6 5 11 13 7 3 3 4 3 4 7 6 -4 -14 -14 -5 -3 -1 7 11 8 8 11 8 1 2 7 12 13 8 3 5 8 8 6 6 7 7 6 5 4 4 4 3 5 5 5 9 10 5 2 5 9 11 9 5 4 13 29 27 16 10 6 6 9 9 9 9 10 9 8 7 6 4 4 3 4 4 4 4 4 3 3 3 4 5 6 6 6 6 6 7 10 11 11 9 7 6 5 4 3 3 4 4 4 3 4 4 4 4 4 5 4 3 4 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 9 14 17 17 15 12 10 9 10 10 12 13 17 18 16 12 6 4 5 5 5 5 5 4 2 1 0 -1 -1 -0 0 1 1 -0 -2 -1 2 3 2 2 4 7 9 11 11 7 3 4 6 7 5 5 4 3 2 2 1 1 1 1 0 0 1 1 1 1 -0 -1 0 3 5 4 5 10 12 13 12 9 9 9 7 6 6 8 9 8 5 5 7 9 6 4 4 3 4 7 6 5 5 4 3 3 3 3 4 5 7 9 10 10 8 6 6 6 7 7 7 7 8 8 8 7 6 8 8 5 4 5 4 5 5 7 7 7 6 6 7 8 8 8 8 9 9 8 8 7 6 4 4 5 8 7 6 6 6 6 5 5 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 3 4 5 6 7 8 8 8 6 4 3 3 4 5 5 5 4 3 3 3 4 4 4 4 3 4 5 5 4 3 2 2 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 6 7 8 9 9 8 6 5 5 7 7 7 8 9 10 10 10 9 9 9 8 4 0 6 14 10 5 4 3 4 4 7 7 -1 -10 -10 -3 -1 2 4 6 4 6 9 8 1 0 3 8 10 8 3 2 5 6 7 7 7 7 6 6 5 4 5 4 4 5 5 7 4 -0 -0 3 8 10 8 5 3 6 13 16 13 9 7 8 9 9 9 8 7 6 6 5 4 4 4 4 3 3 4 4 4 3 4 4 4 5 5 6 6 6 6 7 8 10 11 10 9 8 7 5 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 3 3 3 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 5 7 8 7 8 6 5 4 5 6 7 7 8 8 7 5 5 5 5 6 6 7 6 5 4 2 0 -1 -2 -3 -4 -6 -10 -13 -9 -4 -0 2 3 3 4 5 8 11 14 13 9 8 8 6 4 3 3 2 1 1 1 1 1 0 0 0 1 1 1 -0 -2 -1 4 9 7 5 6 9 8 7 6 6 6 6 7 6 7 9 9 7 6 8 12 10 6 5 3 3 5 5 5 5 5 4 3 3 3 3 3 4 6 8 9 9 7 6 6 7 7 8 8 9 10 10 8 6 6 7 7 6 5 5 5 5 6 7 8 6 4 6 7 7 7 7 8 8 9 9 9 8 6 5 5 7 7 5 5 6 6 5 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 2 2 3 3 4 4 5 7 9 9 7 4 3 3 5 5 6 6 5 4 3 4 4 3 3 3 4 5 5 4 3 3 3 3 3 4 4 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 7 9 9 9 9 7 5 5 6 7 7 8 10 11 11 11 11 10 9 8 4 -1 1 9 11 7 4 3 4 6 8 7 4 -0 -3 0 2 6 3 3 -1 1 7 9 6 2 0 4 6 5 4 2 3 6 8 7 7 7 6 6 5 5 6 5 4 4 5 4 2 2 6 7 9 8 4 3 5 5 8 11 10 8 7 8 7 8 7 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 8 9 10 10 9 7 5 4 4 4 3 4 4 4 4 4 4 4 3 4 3 3 3 2 3 3 3 3 3 4 4 4 4 4 5 4 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 6 7 7 7 7 6 5 4 2 -1 -3 -4 -9 -16 -16 -10 -4 -2 0 4 4 5 4 5 7 10 11 8 5 4 3 2 1 2 1 1 0 -0 0 0 0 -0 0 2 3 4 5 3 1 -0 3 8 6 2 5 6 6 5 4 4 5 6 6 6 7 8 9 3 0 8 10 5 3 3 3 3 4 4 5 5 5 5 4 3 3 2 3 3 5 6 6 7 5 5 6 7 7 7 8 10 10 10 7 6 6 7 6 6 6 6 5 5 6 8 8 5 5 6 6 6 6 6 7 7 8 8 9 8 7 5 6 7 5 5 5 5 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 2 2 3 3 3 3 4 5 7 9 10 7 4 2 2 4 5 6 6 5 3 3 3 3 3 3 4 5 5 4 4 3 3 3 3 3 4 5 6 6 7 7 7 7 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 7 10 9 9 10 8 6 5 5 6 8 9 11 12 12 12 11 10 9 8 6 3 2 5 8 7 5 4 4 5 7 8 7 5 2 2 7 11 7 5 3 1 7 13 11 5 1 3 4 3 4 3 5 8 9 7 6 6 6 6 5 5 5 4 5 5 7 7 3 7 12 11 8 3 0 1 3 5 8 10 7 5 5 5 6 6 5 5 4 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 5 6 7 8 9 9 8 6 5 4 4 4 4 4 4 4 4 4 4 3 4 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 5 5 4 4 4 5 4 4 4 5 5 5 5 5 5 6 7 7 6 6 5 5 5 5 5 6 5 6 7 7 8 7 6 5 3 2 0 -4 -6 -1 4 4 3 2 2 3 4 4 4 4 5 5 5 4 2 0 -0 0 1 1 0 -0 -0 1 3 2 1 3 6 6 7 10 12 10 4 2 7 7 5 5 7 6 5 4 4 5 6 5 4 6 8 9 4 -1 4 7 4 2 2 3 3 3 3 4 4 4 5 5 5 5 3 2 2 3 4 5 5 5 4 4 6 7 7 7 8 10 11 9 6 6 6 6 6 7 7 6 5 5 6 7 6 5 5 5 5 6 6 6 7 7 7 9 10 9 7 6 6 6 5 5 6 5 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 2 2 2 3 3 3 4 4 3 4 7 11 11 7 3 2 2 3 5 6 5 4 4 4 3 3 3 4 5 6 5 4 4 4 3 3 4 4 4 5 6 7 7 8 8 7 6 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 4 5 5 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 4 5 6 6 6 6 6 6 6 5 5 5 7 9 9 9 9 8 6 6 6 6 7 9 11 12 13 12 12 11 10 9 8 6 4 4 6 6 5 5 4 3 4 6 10 10 6 4 11 16 12 7 9 5 5 12 12 7 3 3 2 1 2 2 7 13 10 6 5 6 6 5 5 5 5 6 6 7 10 11 7 6 7 9 7 3 1 1 2 5 7 7 6 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 5 5 6 7 7 8 8 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 5 5 4 4 4 4 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 7 8 7 7 6 5 4 3 5 16 21 13 4 1 -1 -2 -0 2 3 4 3 3 3 4 3 2 1 0 -0 2 4 3 2 5 10 8 2 4 9 10 9 10 13 14 10 8 6 6 5 6 7 6 6 6 7 7 6 6 4 3 7 8 7 6 6 9 7 5 3 2 2 3 3 3 4 4 4 4 6 6 5 2 1 2 2 4 5 4 4 3 4 5 6 7 7 9 11 11 8 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 6 5 6 6 6 7 8 9 9 8 7 6 5 6 6 6 5 5 4 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 1 2 2 2 3 3 3 3 3 2 3 5 8 11 10 7 3 1 1 3 4 5 5 5 4 3 3 3 4 6 6 6 5 5 4 3 4 4 4 4 4 5 5 6 7 7 7 6 5 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 6 6 6 6 7 6 5 5 5 5 6 8 8 8 7 7 7 6 6 5 7 9 11 11 12 13 12 11 10 9 8 7 5 4 4 4 4 5 5 3 2 5 9 11 7 5 13 22 15 4 7 6 1 7 9 7 3 4 4 2 1 2 8 14 9 5 5 6 6 6 6 5 6 7 7 7 10 11 8 5 6 8 8 5 2 1 4 7 7 7 5 4 6 5 5 5 5 5 5 5 6 6 5 4 4 4 3 3 3 3 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 6 7 7 6 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 5 5 5 5 5 5 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 7 7 8 7 6 6 5 5 5 8 18 30 24 6 -2 -3 -4 -2 -1 3 7 4 3 4 5 5 5 4 3 2 5 9 10 8 8 10 11 7 5 7 10 10 10 11 11 10 7 5 6 6 5 6 7 9 9 7 7 8 9 7 2 3 6 5 5 7 8 9 8 6 3 3 3 2 2 3 4 4 4 5 5 5 4 2 1 2 3 4 4 4 3 3 4 5 5 6 8 10 13 11 6 6 8 7 7 7 7 6 5 4 5 5 5 5 5 6 6 6 6 6 6 7 8 9 9 9 8 6 5 5 6 7 6 5 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 2 3 3 3 3 3 2 2 2 1 2 3 4 8 10 9 6 4 2 2 2 3 4 4 4 3 3 3 4 5 6 5 5 4 4 4 5 5 5 5 4 4 5 5 5 6 6 5 5 4 4 4 4 4 5 4 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 5 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 6 6 6 6 7 6 5 5 5 5 6 7 6 6 6 6 6 6 6 6 6 8 10 11 11 12 11 11 10 10 8 7 6 4 4 4 4 5 6 6 4 4 6 9 6 3 13 26 18 3 6 6 0 0 4 6 5 6 7 4 3 3 7 10 8 5 6 6 6 6 7 8 7 6 5 6 8 8 8 7 7 8 8 6 3 2 6 9 8 7 5 6 8 7 6 5 5 6 6 6 5 6 5 4 4 3 3 3 3 3 3 4 5 5 5 5 5 6 6 6 5 4 4 5 5 5 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 8 8 7 6 5 5 5 5 6 12 27 33 21 6 1 1 -0 1 5 8 7 6 6 5 5 7 8 4 2 6 11 14 12 9 7 7 9 9 8 7 7 7 8 8 9 9 7 5 7 6 5 7 9 11 8 7 7 7 8 5 2 3 4 4 5 6 7 8 7 6 4 3 3 3 3 3 3 4 4 4 4 4 3 2 2 2 3 4 4 4 3 2 4 5 5 6 8 12 14 9 6 8 8 7 8 7 6 5 4 4 5 5 5 6 6 6 6 6 6 6 6 7 8 9 9 9 7 6 6 7 7 8 7 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 3 4 4 3 3 2 2 2 1 2 2 3 4 7 8 8 7 6 4 3 2 2 2 2 2 3 3 3 4 4 4 4 3 3 4 5 6 6 5 5 5 4 4 4 4 5 5 4 4 4 3 3 3 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 4 5 5 6 6 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 5 6 6 7 7 6 7 9 10 10 11 10 11 10 9 8 7 6 4 4 4 4 5 6 8 9 7 6 8 6 1 8 18 11 3 9 9 1 -3 1 4 7 10 11 7 5 3 4 4 7 7 6 6 6 6 7 8 8 5 4 6 8 8 7 6 7 7 8 8 6 5 7 11 10 7 7 10 10 6 4 5 6 8 7 6 5 6 5 4 3 3 3 3 3 3 3 4 5 5 5 5 5 6 6 6 4 4 4 4 4 5 5 6 6 6 5 5 5 5 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 3 2 2 2 3 4 5 5 5 5 5 6 6 5 5 5 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 5 5 7 16 27 31 23 13 11 7 4 4 5 8 11 11 9 5 7 10 4 -1 5 14 16 11 8 8 8 7 8 9 8 5 4 6 6 7 8 8 7 7 7 6 7 8 8 7 5 5 5 6 6 4 4 4 4 4 5 6 6 7 6 5 4 4 3 3 3 3 4 4 4 4 3 3 3 3 2 2 3 4 4 3 1 1 3 4 5 6 8 12 12 9 9 9 9 8 7 6 5 5 4 4 5 5 6 6 6 6 7 7 7 6 6 8 9 10 10 8 6 6 6 8 9 9 7 6 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 4 5 5 5 5 5 5 4 4 3 2 2 1 2 2 2 4 6 7 9 10 8 6 4 2 2 1 1 2 3 3 4 4 4 3 3 3 3 4 5 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 5 4 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 5 5 6 6 5 6 6 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 5 6 6 7 7 6 6 6 6 7 7 6 5 4 4 4 5 5 5 6 7 7 7 7 8 9 10 9 9 9 9 9 8 7 5 4 4 4 6 8 8 9 11 9 6 9 8 1 1 7 3 3 11 13 5 0 2 4 5 10 12 10 5 3 3 2 6 7 6 6 7 7 5 5 7 6 4 6 8 8 4 3 5 7 8 11 11 9 9 12 11 8 10 11 8 4 2 5 7 7 6 5 5 5 5 4 4 3 3 3 3 3 3 4 5 5 5 5 5 5 6 6 5 4 4 3 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 5 4 4 3 2 2 3 4 5 5 5 5 5 5 6 6 5 5 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 6 6 7 7 6 5 5 5 5 5 5 6 13 24 28 21 20 19 12 5 2 4 10 18 19 14 13 14 8 2 7 15 15 11 8 8 8 8 8 10 10 7 4 5 5 6 6 7 6 6 6 6 5 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 4 4 3 2 3 3 3 4 4 4 4 4 3 3 3 3 3 4 5 4 -0 1 4 4 4 5 7 9 9 9 10 10 9 7 6 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 7 8 10 10 9 7 6 6 8 10 10 8 6 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 6 7 7 6 6 6 6 5 4 3 2 2 2 2 3 4 6 9 12 11 8 6 5 3 2 2 2 3 4 4 5 4 4 3 2 2 4 4 5 6 7 7 7 6 6 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 4 4 4 4 3 4 4 4 4 4 5 6 7 7 6 6 7 9 11 10 10 8 5 3 3 3 4 5 5 5 6 8 7 6 7 9 9 8 8 7 8 8 8 6 5 4 4 6 9 11 9 7 10 8 3 6 8 3 1 4 3 2 10 12 7 4 6 7 4 6 10 11 5 3 3 2 3 5 7 6 7 8 5 3 4 5 4 5 7 7 6 7 8 7 7 8 9 9 8 11 11 10 11 9 5 3 3 4 5 7 5 3 4 5 5 4 3 3 3 3 3 3 4 4 4 5 5 4 5 5 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 4 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 2 3 3 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 10 18 20 22 25 22 15 7 3 6 16 23 21 19 16 11 7 10 13 12 10 9 8 8 8 8 8 10 9 7 7 7 6 6 7 7 5 4 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 5 7 4 0 3 4 4 5 5 6 7 8 9 10 10 8 6 6 5 5 5 5 5 5 5 6 6 6 7 6 6 5 5 7 8 9 9 8 6 6 7 9 11 10 7 5 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 7 7 7 7 7 7 7 7 7 5 5 4 3 3 3 3 3 4 8 11 11 9 8 6 5 5 4 3 4 4 5 6 5 4 3 2 2 2 3 4 5 6 7 7 7 7 6 6 5 5 4 3 3 3 4 3 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 4 3 4 3 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 3 4 4 4 4 4 4 4 5 6 8 8 7 7 13 21 25 20 12 7 5 3 3 4 4 5 5 5 6 7 7 6 7 8 8 8 7 6 6 7 7 6 5 4 5 10 13 11 8 7 9 7 0 1 4 4 6 9 8 6 11 12 6 4 8 10 6 4 6 7 5 3 3 3 3 4 6 6 7 7 6 4 2 3 3 4 4 4 9 14 13 7 2 0 2 3 4 6 7 10 11 7 3 2 2 1 3 4 3 0 2 4 4 4 3 2 3 3 4 3 3 4 4 5 5 5 5 5 5 5 6 6 6 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 5 5 5 4 4 4 3 3 2 3 4 6 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 7 10 14 20 24 22 16 12 9 11 17 18 14 12 10 8 9 10 9 9 9 8 8 8 7 7 7 9 11 10 9 9 8 7 6 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 6 5 3 3 3 4 4 5 5 6 7 8 9 10 9 8 7 6 5 5 5 5 4 5 6 6 7 7 7 6 5 6 6 7 8 9 8 7 6 6 8 11 12 11 8 5 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 7 7 6 7 7 7 7 7 7 7 7 6 5 5 5 4 3 3 3 6 9 10 8 6 6 7 7 6 4 4 4 5 5 5 5 4 3 2 2 2 3 3 4 5 6 7 7 6 6 5 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 6 7 8 8 10 21 35 39 27 9 1 2 3 3 4 4 5 5 5 6 7 7 6 6 7 8 7 7 6 6 6 6 5 5 6 9 12 12 8 4 6 9 10 3 -1 3 7 8 10 7 7 13 11 4 3 6 10 9 5 4 4 4 5 4 3 4 5 5 7 7 7 6 5 2 2 2 3 4 3 7 12 11 4 -4 -6 -5 -3 2 1 -1 5 9 6 3 1 -2 -3 -1 0 -0 2 5 5 4 4 4 3 3 4 4 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 3 3 4 3 3 4 4 4 4 4 5 5 4 5 5 5 5 5 4 4 3 3 2 2 3 6 6 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 4 3 4 4 5 9 15 19 19 16 15 13 15 19 17 11 10 9 8 9 10 11 11 10 11 11 9 10 8 8 12 13 10 7 6 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 7 8 10 10 9 9 7 6 6 5 4 5 5 5 6 7 7 7 7 6 6 6 7 7 8 8 7 6 6 7 9 14 15 11 7 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 6 5 5 5 5 5 6 6 7 7 7 6 6 6 5 4 3 3 5 7 8 7 5 5 7 7 6 5 3 4 5 5 6 6 5 4 3 2 2 2 3 3 4 5 5 6 5 5 4 3 3 3 3 3 3 3 3 2 2 2 2 1 1 2 2 2 1 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 5 4 4 4 5 5 5 4 4 4 5 6 7 8 9 12 22 35 39 21 -6 -9 -2 2 3 3 4 5 5 6 6 7 7 7 6 7 8 7 7 6 6 6 6 5 6 10 14 11 9 7 4 4 7 11 8 2 5 10 8 6 2 4 11 7 2 2 4 8 10 7 4 2 4 5 5 4 4 5 5 7 7 7 6 5 2 2 3 5 7 5 5 6 7 2 -6 -6 -6 -7 -1 0 -2 6 10 7 3 -2 -5 -6 -4 2 4 7 9 7 4 4 4 3 3 4 3 3 3 3 5 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 3 4 3 3 4 4 5 5 5 4 5 5 5 5 4 4 4 3 2 2 2 4 6 6 5 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 3 3 3 3 4 4 4 4 6 9 11 11 12 11 12 17 22 19 14 12 11 11 11 12 13 13 13 15 15 14 12 9 9 10 8 6 5 5 5 5 5 5 4 4 2 2 2 2 3 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 4 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 7 9 10 10 10 10 8 6 5 5 5 5 5 5 6 7 8 8 8 7 6 7 6 6 7 7 7 6 6 8 12 13 11 8 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 5 4 4 4 3 3 3 3 3 4 5 6 6 5 6 6 5 5 5 4 4 5 7 7 5 4 5 6 6 5 4 3 4 5 6 6 6 6 5 4 3 2 3 3 3 3 4 4 4 3 3 3 2 2 2 3 3 3 2 2 2 1 1 1 1 1 1 1 1 2 2 2 3 3 4 4 4 4 4 5 4 4 5 4 4 4 4 4 5 5 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 5 5 4 4 4 5 5 5 5 5 5 5 6 6 5 4 5 6 7 8 10 10 15 24 24 10 -10 -15 -6 1 3 3 4 5 5 6 6 7 7 7 6 7 7 7 7 6 6 6 6 6 9 13 14 8 6 8 7 3 3 9 10 4 5 13 12 9 5 4 6 5 3 3 5 8 10 8 4 3 3 3 5 4 4 5 6 7 6 6 6 5 4 3 5 8 9 7 5 4 6 2 -5 -3 -3 -5 1 4 4 11 13 8 2 -5 -6 -4 1 8 9 9 12 8 3 4 3 3 3 3 4 3 3 4 4 3 3 4 5 5 5 5 5 5 6 6 7 6 5 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 4 5 5 5 5 5 4 4 4 3 3 2 2 3 5 6 6 5 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 6 5 6 9 14 18 16 15 13 11 9 8 9 10 9 11 12 10 10 8 7 7 8 8 7 6 6 6 5 4 4 3 2 2 1 2 3 4 4 4 4 5 5 5 5 5 6 6 6 7 6 6 6 6 5 5 4 5 5 5 6 6 5 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 7 9 10 12 12 10 7 6 5 5 5 5 5 5 6 7 8 8 8 8 7 7 6 6 7 7 6 6 8 9 9 9 7 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 3 3 3 2 2 2 1 1 1 2 3 3 3 4 4 4 5 6 6 6 5 5 5 6 5 4 4 5 6 6 5 4 4 5 6 7 7 7 7 6 5 4 3 3 3 3 3 3 4 3 3 2 2 2 2 2 2 2 2 1 1 0 1 1 1 1 1 1 2 2 2 2 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 6 9 10 10 11 11 2 1 -1 -10 -5 1 2 2 4 4 5 6 6 7 7 8 7 7 7 7 6 6 6 6 6 8 12 13 10 6 5 8 9 4 2 10 12 4 2 9 14 17 11 6 5 4 5 4 5 6 8 8 7 5 4 3 4 5 5 5 6 7 7 7 6 6 6 7 7 6 8 8 4 5 7 2 -3 -1 1 3 10 13 13 14 14 8 2 -3 -4 1 10 15 11 10 11 6 4 4 4 3 3 3 4 3 3 4 4 3 3 4 5 6 5 4 4 5 6 6 6 6 5 5 4 4 4 4 4 3 4 4 3 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 4 3 3 4 5 6 6 5 5 5 5 5 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 5 4 4 4 4 4 4 4 4 4 4 5 8 9 10 9 6 4 4 4 4 3 4 5 5 6 6 6 7 8 9 9 9 8 6 6 4 4 4 3 2 1 2 2 2 3 4 5 5 5 4 5 5 5 6 6 7 7 7 8 8 7 5 5 5 5 6 6 6 6 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 3 4 4 5 6 9 11 12 12 10 7 5 5 5 5 4 4 4 6 7 8 9 9 8 7 6 6 6 6 6 6 7 7 7 8 7 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 2 2 3 3 3 2 1 0 0 -0 1 1 2 3 3 3 4 5 6 6 6 6 5 5 5 4 4 4 5 6 6 4 3 3 4 5 6 6 7 7 7 6 5 4 3 2 2 3 3 3 3 2 2 2 2 2 2 1 1 1 1 0 0 1 1 1 1 1 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 6 5 5 4 4 4 4 5 5 5 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 4 5 5 5 5 5 5 6 7 7 6 5 5 5 5 6 10 14 12 7 2 -9 -6 2 -2 -1 1 2 2 3 4 5 6 7 7 7 8 8 7 7 7 6 5 5 5 8 12 13 9 7 5 4 6 8 2 2 11 16 6 2 3 10 19 15 6 3 4 5 5 5 3 4 5 7 7 5 4 5 5 5 5 6 7 7 7 6 6 8 10 6 1 5 8 3 6 6 3 2 0 3 11 17 18 13 14 16 11 3 -2 -2 6 16 16 10 10 11 6 4 4 4 4 3 3 4 3 4 5 4 3 3 4 5 5 5 4 4 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 5 6 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 4 3 3 2 3 4 5 5 4 4 4 4 4 4 4 3 3 3 3 4 5 4 3 3 3 3 3 3 3 3 4 4 5 5 6 7 8 9 10 9 7 6 5 4 3 3 2 2 2 2 0 0 1 3 4 4 5 5 4 5 5 5 5 6 7 8 8 8 7 6 5 6 6 6 6 6 6 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 5 7 10 11 12 11 9 7 5 4 4 4 3 3 4 6 7 8 8 8 8 7 7 6 6 6 6 6 7 7 7 8 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 2 2 3 3 3 1 1 0 0 1 1 2 1 2 3 4 5 6 7 7 6 5 4 4 4 4 4 5 5 4 3 3 3 3 4 4 5 5 7 7 6 5 4 3 3 3 3 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 4 4 5 5 6 6 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 7 7 6 6 6 6 5 8 16 20 12 4 2 -4 -5 0 1 1 1 1 2 3 4 5 6 6 7 8 8 9 8 7 7 6 5 5 6 9 12 10 8 7 4 1 5 11 6 1 9 15 8 4 2 6 19 19 4 -3 -1 6 10 8 3 0 1 4 5 5 4 5 6 7 6 6 7 7 7 6 7 9 9 4 1 8 10 4 6 4 3 4 -0 2 10 14 12 9 15 22 14 3 -3 -1 10 17 13 8 11 13 7 3 4 4 4 3 4 4 3 4 5 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 4 4 4 3 3 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 5 4 3 2 2 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 4 3 2 2 3 4 5 5 4 4 4 4 4 4 5 4 4 3 4 5 5 4 4 4 4 3 2 2 3 3 3 3 4 4 5 6 7 8 9 8 7 6 5 3 2 1 1 2 3 3 1 -3 -4 -2 1 2 3 3 4 4 4 4 4 5 6 6 7 7 7 6 6 6 6 6 6 6 6 5 4 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 4 6 8 10 11 11 11 9 7 6 5 4 3 3 3 4 5 6 7 8 8 8 8 8 8 7 7 7 7 6 6 8 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 2 2 3 4 5 4 3 2 1 1 1 1 1 1 2 3 4 5 7 8 7 6 5 4 4 4 4 4 5 4 3 2 1 1 1 2 2 3 4 5 6 6 6 5 4 4 3 3 3 3 3 4 3 3 2 2 2 3 3 2 2 2 2 2 2 2 1 2 2 2 1 1 1 2 2 3 3 3 4 4 5 5 5 5 5 5 5 4 5 4 4 5 5 6 6 6 6 7 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 7 7 7 6 6 7 7 8 15 22 23 14 12 14 6 -0 1 2 1 0 1 2 2 3 4 5 6 7 8 9 9 9 8 7 6 5 5 6 6 6 6 6 8 8 2 -2 3 8 5 7 9 6 3 2 7 21 20 6 -5 -4 7 13 9 4 1 0 1 3 5 5 6 7 7 7 6 7 7 6 6 9 10 6 5 11 17 13 8 5 3 5 4 0 3 8 9 7 11 23 25 14 3 -3 2 13 17 10 7 12 15 8 3 4 4 4 3 4 4 4 4 5 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 7 7 5 4 3 2 3 4 4 4 5 5 4 4 5 4 3 4 4 4 4 4 4 3 4 3 3 3 3 4 3 3 3 2 3 4 5 4 4 4 4 5 5 5 5 6 5 5 6 6 6 4 3 4 4 4 3 2 2 2 2 3 3 3 4 5 6 6 7 7 7 5 4 3 1 1 0 0 2 5 5 -0 -8 -10 -6 -3 1 3 3 4 3 4 4 4 5 5 6 7 7 6 6 6 6 5 6 6 6 5 5 4 5 6 7 7 7 7 6 6 5 4 4 4 4 4 3 3 4 4 5 7 9 9 10 10 10 9 8 7 6 4 3 3 3 4 5 5 6 7 7 9 9 9 9 7 7 8 7 6 7 7 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 3 3 3 2 2 3 4 5 5 5 5 3 2 1 1 1 1 1 1 2 4 6 8 8 7 6 4 4 4 4 5 5 5 4 3 2 2 1 1 1 1 2 3 4 5 6 6 6 6 5 4 3 2 3 3 3 2 2 3 4 4 4 4 3 3 3 3 3 3 2 2 2 1 1 1 1 1 1 2 2 3 3 3 4 4 4 5 5 5 4 5 5 4 4 5 5 5 5 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 8 10 16 23 24 20 16 18 16 5 -0 1 1 1 1 1 2 2 3 4 4 6 7 8 10 10 10 9 7 5 4 5 6 4 2 3 4 6 8 7 -1 -6 -2 2 5 7 5 3 5 12 20 17 9 1 1 6 8 6 6 5 3 2 4 5 6 7 9 8 7 6 6 6 6 6 10 9 4 6 16 18 13 10 4 2 6 4 6 13 15 9 10 22 31 24 11 2 -1 7 16 13 7 7 12 14 8 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 6 8 9 9 6 4 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 3 4 4 3 3 4 4 4 3 3 4 5 5 5 5 4 5 6 7 7 7 6 4 2 2 4 5 4 2 1 1 2 3 3 3 3 4 4 5 5 5 5 5 4 3 3 2 2 2 2 5 8 6 -3 -10 -8 -6 -2 2 3 3 2 3 3 4 4 4 5 6 6 7 6 4 5 5 6 6 7 7 6 3 4 6 7 8 8 8 8 7 7 6 6 5 5 4 3 3 4 4 4 6 7 8 8 8 9 10 10 9 8 7 5 3 2 3 4 4 4 4 5 7 9 9 9 8 8 8 8 7 7 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 3 3 3 3 2 2 2 3 4 5 6 6 5 3 2 2 1 1 1 1 2 4 7 8 7 6 4 3 4 5 5 5 5 4 3 3 2 2 1 1 0 1 1 2 3 4 6 7 8 9 8 6 4 4 4 2 2 2 3 4 4 4 4 4 4 4 4 5 5 4 4 3 2 1 1 1 1 1 2 2 2 2 2 3 3 3 4 4 4 5 5 4 4 5 5 5 5 5 6 6 7 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 7 8 9 9 11 13 16 23 28 19 15 19 6 -4 1 1 1 1 1 1 2 2 3 3 3 4 6 7 8 10 11 11 9 6 4 6 8 6 4 3 5 5 3 3 5 7 7 4 -0 2 6 8 7 9 11 11 10 9 7 4 5 4 4 6 6 5 4 6 6 5 8 9 8 6 6 6 6 5 7 10 9 6 7 11 11 9 9 4 4 6 2 9 21 21 17 24 33 31 19 7 1 3 12 16 10 5 8 12 15 10 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 4 3 3 4 5 6 7 9 9 10 9 6 4 3 3 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 0 0 2 4 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 5 6 8 8 6 3 1 0 3 6 7 4 1 1 2 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 7 10 7 1 -1 -1 -0 2 2 2 2 3 4 4 4 4 4 5 5 6 6 5 3 4 6 6 7 8 8 4 3 5 6 7 8 8 8 8 8 8 7 6 6 5 4 3 3 4 3 4 5 6 6 7 8 9 10 10 10 9 8 6 4 3 3 3 3 3 3 4 6 7 9 9 9 9 8 7 7 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 2 2 1 1 2 3 5 6 7 6 4 3 2 1 1 1 1 3 5 6 7 7 6 4 3 5 5 5 4 3 3 3 2 2 1 1 1 1 1 1 2 3 4 6 8 10 11 10 9 8 6 3 2 3 4 4 3 3 3 3 3 4 4 5 6 6 6 5 4 3 2 1 1 1 1 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 5 4 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 9 11 13 14 16 18 17 19 24 21 11 14 20 -0 -12 -0 3 1 1 2 2 3 3 4 4 4 5 6 7 8 10 11 12 9 5 4 8 9 6 6 6 8 9 5 4 4 4 6 8 7 7 9 10 12 12 6 0 3 6 7 6 5 4 4 7 7 6 6 6 6 4 6 7 7 6 6 6 6 5 6 10 8 6 6 7 6 7 8 6 6 3 -2 4 14 18 24 33 34 24 13 6 3 7 14 12 6 5 8 13 15 10 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 4 4 3 3 5 7 8 8 8 7 8 8 7 5 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 4 3 3 3 2 0 -1 1 3 5 5 6 6 5 3 3 3 3 4 4 4 3 3 3 3 5 7 8 7 4 1 1 2 6 8 6 3 2 2 3 3 2 2 3 4 4 4 4 4 4 4 4 5 5 5 8 11 11 7 8 10 10 6 3 3 4 3 2 2 3 4 4 4 4 4 4 4 4 5 6 2 1 5 6 6 8 9 7 3 4 6 6 7 8 8 8 8 9 9 8 7 6 5 4 4 4 3 4 4 5 5 6 7 8 9 10 11 12 11 9 7 5 3 2 2 2 2 3 4 6 7 8 9 9 9 9 8 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 4 3 3 1 1 1 1 2 4 6 8 7 5 3 2 2 2 1 2 4 6 7 7 6 5 5 4 5 5 5 4 3 3 2 2 2 1 1 1 1 2 2 2 3 4 5 8 11 13 14 12 9 6 4 3 3 3 2 2 2 3 3 3 4 4 5 6 6 7 6 6 5 3 2 1 1 1 1 2 2 1 1 2 2 2 3 3 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 5 10 14 16 19 23 24 21 17 18 19 10 7 16 17 3 -3 1 3 2 3 4 3 3 4 4 5 5 6 6 7 8 10 11 10 6 3 5 7 7 7 8 7 7 10 6 7 11 7 0 0 6 10 11 11 14 14 5 -1 -0 2 4 5 5 4 5 8 9 8 6 5 4 5 4 5 6 6 6 7 8 7 7 7 6 6 6 6 7 8 9 8 6 -0 -7 -4 5 11 22 30 25 15 9 5 5 8 10 7 4 5 9 13 13 8 4 5 5 4 5 5 4 4 4 4 5 4 4 4 3 3 4 4 5 5 5 5 6 6 6 5 5 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 2 2 3 4 4 3 2 3 5 7 8 8 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 3 3 4 4 4 4 3 2 0 1 2 3 4 5 6 5 4 3 2 3 3 4 3 3 2 3 3 4 5 6 6 4 2 1 3 5 8 8 5 3 3 3 3 2 3 3 4 4 5 5 5 4 4 4 4 4 4 10 21 25 14 2 3 9 10 6 5 5 4 3 2 2 3 3 4 3 3 3 3 3 4 7 4 0 3 5 6 6 7 7 5 5 6 6 6 6 7 7 8 8 9 9 8 7 6 6 5 4 4 3 4 3 4 5 6 8 9 10 10 12 13 12 11 8 5 3 2 2 2 3 4 5 6 7 8 9 9 9 9 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 5 3 2 1 1 1 2 4 7 9 7 4 3 2 2 2 2 3 4 6 6 7 7 6 5 5 5 6 4 4 3 2 2 2 1 2 2 2 3 3 3 3 4 4 6 9 12 14 13 10 7 5 4 3 2 2 2 2 3 3 3 4 4 5 5 6 7 8 8 8 6 4 2 1 0 1 2 2 1 1 1 1 1 2 2 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 4 3 3 4 4 4 3 3 4 4 4 3 4 6 14 18 19 22 25 21 16 14 18 14 5 8 15 11 3 1 2 3 3 4 5 5 4 4 5 6 6 6 7 7 8 9 10 8 4 3 5 5 2 3 7 6 5 9 7 5 9 13 7 2 3 6 9 11 15 15 7 2 1 1 2 3 4 6 6 7 8 8 6 4 5 6 4 4 5 6 8 9 9 7 6 5 5 6 6 7 7 8 9 8 5 -1 -8 -6 1 8 18 22 16 10 6 4 4 5 6 4 4 6 10 15 15 7 4 5 5 4 5 5 5 4 4 5 5 4 5 4 4 3 3 4 4 5 5 6 6 6 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 2 3 3 4 4 3 2 3 4 6 6 7 6 6 5 5 5 6 6 5 5 6 5 5 5 5 4 3 4 4 4 4 4 4 3 4 4 4 5 4 3 2 1 1 2 3 4 4 4 4 3 3 2 3 3 3 2 2 2 2 3 4 5 5 3 2 2 3 5 7 9 8 4 3 3 3 3 3 3 5 5 5 5 5 5 5 4 4 4 4 12 30 40 24 -0 -6 1 7 8 7 7 6 4 3 2 2 3 3 3 2 2 3 3 3 4 5 3 3 4 5 6 6 6 5 5 5 6 5 5 6 6 6 7 7 8 8 8 8 7 6 5 4 4 4 4 3 3 5 6 8 9 10 11 13 13 14 12 9 6 4 3 3 3 3 4 5 7 7 8 9 9 9 9 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 9 9 7 6 4 3 4 4 3 4 5 8 9 6 3 2 2 2 2 2 3 4 5 6 6 6 5 5 5 5 5 4 2 2 1 1 2 1 2 3 3 3 3 4 4 4 5 7 9 11 10 8 6 5 4 3 3 3 3 4 3 3 3 4 4 4 5 5 6 7 8 10 10 7 4 1 0 0 1 1 1 2 1 1 1 2 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 3 3 3 4 4 4 3 4 4 3 3 4 8 14 17 17 18 17 13 10 11 15 9 3 7 9 4 1 2 2 3 4 5 6 6 5 5 6 7 8 8 8 8 9 10 11 11 8 4 3 3 0 0 4 6 5 4 3 1 2 5 7 8 7 5 8 12 17 18 10 5 3 2 3 6 6 6 6 6 7 7 6 4 6 7 7 6 6 7 10 11 9 7 5 4 5 3 4 7 6 8 8 7 5 3 0 0 5 10 16 16 10 4 2 2 1 2 4 4 4 8 12 15 13 5 3 5 5 5 5 5 4 4 4 5 5 5 5 4 4 3 3 3 4 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 2 3 3 4 4 3 3 3 4 6 6 6 5 5 5 6 5 5 5 6 6 5 5 6 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 2 2 2 2 3 4 3 4 3 3 3 2 3 3 3 2 2 2 2 4 4 3 3 3 3 3 4 6 8 7 5 4 3 3 4 4 4 4 5 5 5 4 5 5 4 4 4 5 12 32 44 25 1 -5 -2 1 6 8 9 8 7 4 2 2 3 3 3 2 3 3 3 2 2 3 2 3 4 4 5 5 5 4 4 4 5 5 4 4 4 4 5 6 7 7 8 8 8 7 6 6 5 4 4 3 3 3 5 7 9 10 10 12 14 15 15 13 10 7 5 4 4 4 4 5 6 7 7 8 9 9 9 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 8 9 9 8 7 6 7 7 7 5 5 7 9 8 5 3 2 2 2 1 1 2 3 4 5 5 5 5 5 5 5 4 4 3 2 2 2 2 2 3 4 4 4 5 4 4 5 6 6 7 6 5 5 5 5 5 5 5 5 4 3 3 3 3 4 4 4 4 5 5 7 10 11 10 8 4 1 -0 -0 1 1 2 3 2 2 2 2 2 2 2 3 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 7 13 17 16 14 12 10 9 9 10 6 -3 -5 1 4 3 2 2 3 3 4 5 6 6 6 6 6 8 9 9 8 8 11 12 12 13 11 7 4 3 3 3 4 6 6 3 2 3 2 3 4 5 6 5 10 13 17 18 11 7 5 5 8 11 9 7 6 6 6 5 5 4 6 7 8 7 7 7 10 11 8 7 8 9 5 3 7 9 7 7 7 6 4 8 14 11 12 17 18 12 4 -4 -1 2 0 2 7 7 7 10 12 12 9 5 4 5 5 5 5 5 4 4 4 5 4 4 4 4 4 3 3 4 4 5 6 6 6 6 5 5 4 4 4 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 2 2 3 4 4 4 3 3 4 6 7 6 6 5 4 5 6 6 5 5 4 5 5 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 2 2 3 3 4 3 3 3 2 3 3 5 6 5 4 3 4 4 3 4 4 4 4 4 4 5 5 5 5 5 4 5 10 25 34 20 5 1 0 -0 3 7 8 9 9 7 5 3 2 2 2 2 2 3 3 3 2 2 2 2 3 4 4 5 4 4 3 4 3 3 3 3 3 3 4 5 6 7 7 8 9 8 7 7 6 5 5 4 3 3 3 5 7 9 10 11 13 14 15 14 13 10 7 6 5 5 5 5 5 6 6 7 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 nan
nan 4 4 4 5 6 7 7 8 7 7 9 10 8 7 7 9 9 6 4 3 2 2 1 1 1 2 2 3 4 5 5 5 5 5 6 5 5 4 3 2 3 3 3 4 5 5 5 5 5 5 5 6 6 5 5 5 6 6 7 7 6 5 4 3 3 3 3 3 4 4 4 4 5 6 7 9 11 11 8 4 0 -1 0 1 2 2 2 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 6 12 18 19 15 11 10 9 9 10 11 -2 -14 -12 -1 3 3 3 3 3 3 4 5 6 7 7 7 8 9 10 10 9 9 11 12 11 10 8 6 5 5 5 7 8 10 11 7 4 6 7 6 5 5 6 8 11 9 9 10 8 7 6 4 7 12 11 8 7 6 4 4 4 6 7 7 9 8 8 7 9 9 5 4 11 14 7 6 11 11 8 7 7 5 3 9 17 15 16 20 17 9 -0 -5 1 6 5 8 11 10 9 11 12 10 10 8 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 5 6 6 7 7 6 5 5 4 5 5 4 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 2 2 2 3 4 4 3 3 4 6 8 7 7 5 5 4 4 5 5 5 4 3 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 3 3 4 4 4 3 2 2 2 3 4 5 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 9 17 22 17 8 4 3 3 5 6 7 9 10 10 7 5 3 2 1 1 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 2 2 2 2 2 2 3 4 4 6 7 8 9 8 8 7 7 6 6 6 5 4 4 4 5 7 10 11 12 13 13 13 14 13 10 8 7 6 6 5 5 5 5 5 7 9 10 9 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 1 1 2 3 4 5 6 7 7 8 9 9 8 8 9 9 9 6 4 3 2 2 2 1 1 2 2 3 4 4 4 4 5 6 6 6 6 5 4 3 3 4 5 6 5 5 5 5 5 5 5 6 5 5 6 7 8 9 8 6 3 2 2 2 2 3 3 3 4 4 5 5 6 6 8 10 11 11 8 4 1 -0 1 1 2 2 2 2 2 2 3 3 3 4 4 4 3 3 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 9 14 16 15 12 10 9 10 10 10 12 2 -14 -12 0 4 3 3 3 3 3 4 5 5 6 7 8 8 9 11 11 9 8 8 8 9 9 5 3 4 5 5 6 9 14 19 12 3 2 7 8 8 9 8 6 8 3 -3 1 6 8 5 2 1 4 8 9 7 5 3 4 6 7 6 7 10 10 7 6 7 7 3 3 8 10 7 8 10 8 7 7 6 3 -2 1 9 15 19 21 14 6 -1 -1 6 10 11 13 13 11 11 11 11 10 11 8 5 5 5 5 5 5 4 5 5 5 4 4 4 4 3 4 4 4 5 6 7 7 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 2 2 3 4 4 4 3 4 5 7 9 8 7 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 7 7 7 6 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 2 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 8 12 17 17 9 2 4 6 8 7 5 7 9 11 10 7 4 3 2 2 2 3 4 4 4 4 4 5 5 5 4 4 4 4 3 3 2 2 2 2 2 2 3 3 4 5 6 8 8 8 8 8 7 7 6 6 6 5 5 4 4 6 8 10 11 12 12 13 14 14 12 11 9 7 6 6 5 5 4 5 6 8 9 10 10 10 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 3 4 6 7 7 7 6 8 8 8 9 10 9 8 7 6 4 3 3 3 2 2 2 2 3 3 3 3 4 4 5 6 6 6 5 4 3 3 4 5 5 5 5 4 5 5 5 5 5 5 5 6 8 8 7 5 2 1 1 2 2 2 3 3 3 4 5 5 5 6 7 8 9 11 12 10 5 1 1 0 1 2 2 2 2 2 2 3 3 3 4 4 3 3 3 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 6 10 10 10 9 8 9 9 9 10 14 10 -5 -4 2 4 3 3 3 3 4 4 5 5 5 6 7 8 9 11 11 8 5 4 6 9 8 6 5 4 4 5 3 3 10 18 16 6 1 3 6 7 9 6 2 4 1 -5 -2 8 11 6 3 1 3 6 7 6 5 4 5 7 7 5 7 9 9 7 6 5 6 3 3 5 6 8 8 6 5 7 7 4 1 -3 -5 5 17 21 20 12 4 1 5 12 13 13 12 10 9 9 9 10 10 10 8 4 4 5 5 5 5 4 5 5 4 4 4 4 4 3 4 5 5 6 6 6 7 6 6 6 5 5 5 5 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 2 2 3 5 5 4 3 4 5 7 8 9 8 7 6 5 4 5 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 5 5 5 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 5 6 4 2 1 2 2 3 3 2 3 3 4 4 4 5 5 5 6 6 6 6 7 10 15 17 9 0 3 9 10 7 5 6 9 10 11 9 6 3 2 3 4 4 4 4 5 6 7 8 8 7 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 6 7 7 7 7 7 7 6 6 6 6 6 5 5 5 6 8 9 11 12 13 14 14 14 13 10 6 5 5 6 6 5 5 5 7 8 9 10 11 11 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 4 5 7 8 7 6 5 5 6 7 8 8 9 10 10 9 6 5 5 4 3 2 2 2 2 2 3 2 3 3 4 6 6 6 5 4 4 3 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 6 5 3 2 1 2 2 2 2 2 3 3 4 4 5 5 6 7 7 8 9 12 14 11 6 2 1 1 1 1 1 2 2 2 2 3 3 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 5 7 9 9 9 9 9 8 11 15 11 1 1 3 3 3 3 3 4 4 5 5 5 5 6 6 7 10 12 12 9 5 4 6 9 8 8 8 3 4 7 4 0 3 9 12 7 2 1 2 4 4 2 3 5 4 -2 3 17 13 5 3 4 5 5 4 6 6 6 6 6 4 4 6 6 7 6 7 6 6 8 9 8 6 6 6 4 5 6 5 2 -2 -3 -4 6 18 21 17 10 5 5 11 14 13 11 8 7 7 8 9 10 9 9 8 5 4 6 6 6 5 4 4 5 4 4 4 4 4 4 4 5 6 7 7 7 6 6 6 6 6 5 5 5 5 5 6 5 5 5 5 4 5 4 4 5 4 4 5 5 5 5 5 5 5 4 3 2 2 3 4 5 5 4 4 4 5 7 8 8 7 6 5 5 5 4 4 4 4 4 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 5 4 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 4 -3 -7 -5 -5 -4 -1 2 3 3 3 3 4 4 5 5 5 6 6 6 6 6 8 12 14 8 1 3 8 9 8 7 6 8 9 10 9 7 5 3 4 5 5 5 4 5 7 9 11 11 10 6 4 3 3 3 3 3 4 4 5 5 5 5 5 5 4 5 5 6 6 6 6 6 6 7 6 6 7 6 5 5 5 5 6 7 9 11 12 13 14 15 13 8 6 5 5 6 6 6 5 5 6 7 7 8 9 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 5 7 8 7 5 5 4 4 5 5 7 8 9 10 10 9 7 7 6 5 4 4 3 3 3 3 2 2 2 3 4 5 5 5 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 2 2 2 3 3 3 3 3 4 4 4 5 5 6 6 6 7 7 10 14 15 12 7 3 3 2 2 2 2 2 2 3 3 3 3 3 4 3 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 7 10 10 9 9 10 8 11 10 4 2 3 3 2 2 3 4 4 4 5 5 5 5 5 7 11 15 17 16 13 9 5 6 8 7 7 6 1 1 4 7 6 4 3 5 4 3 4 4 2 0 1 7 11 9 2 8 19 12 3 2 4 5 4 5 7 6 6 5 3 2 3 3 3 6 8 12 10 9 10 7 3 4 7 7 7 11 10 3 -1 -2 -2 0 9 16 19 15 9 6 9 12 13 12 9 6 4 5 8 9 9 10 11 11 6 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 5 4 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 4 3 3 3 3 5 5 5 4 3 4 4 5 6 7 7 5 5 4 4 5 5 4 5 5 4 5 5 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 6 6 5 5 4 4 5 5 5 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 3 -8 -25 -25 -14 -11 -8 -4 -3 0 3 3 3 4 5 5 5 5 5 5 5 6 6 7 9 10 8 3 4 6 7 8 8 7 7 8 8 8 7 6 5 6 6 6 5 4 6 8 11 13 13 11 8 5 3 3 3 3 4 5 6 6 6 6 6 6 5 4 4 4 5 5 6 5 5 5 6 6 7 6 6 6 5 5 5 5 6 7 9 10 12 13 14 12 9 7 5 5 6 6 6 5 5 6 6 6 5 6 7 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 6 6 7 7 7 6 6 6 4 4 3 5 7 8 9 10 10 10 10 10 10 9 8 5 3 3 3 4 3 3 3 3 3 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 5 6 6 6 6 7 11 15 16 13 9 6 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 5 4 5 5 6 9 11 10 10 10 10 11 9 2 0 3 2 2 2 1 2 4 4 4 4 4 4 4 8 15 19 21 22 19 14 8 5 5 6 6 6 4 3 2 7 10 10 5 2 1 3 4 5 5 5 5 6 7 11 10 4 5 6 6 2 3 4 2 4 9 7 5 5 4 2 3 4 4 5 9 12 14 12 9 8 -3 -10 -2 9 10 10 18 23 16 7 4 3 7 12 16 17 13 9 7 10 13 13 12 9 5 3 5 7 8 8 10 12 8 3 3 5 6 6 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 3 3 3 4 5 6 6 5 4 4 4 4 5 5 6 6 4 4 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 5 5 4 5 5 5 5 5 5 4 3 3 4 4 5 5 6 5 5 5 5 4 4 5 4 -3 -19 -41 -38 -16 -5 -2 -1 -1 1 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 7 8 8 8 7 7 7 7 7 8 8 7 5 4 4 6 8 11 14 13 12 8 5 3 3 3 3 5 5 5 6 6 7 7 7 6 5 4 4 4 4 4 5 5 5 5 6 6 7 6 6 6 5 5 4 4 6 7 8 10 11 12 11 10 8 7 7 6 6 6 5 5 5 6 7 6 5 5 7 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 7 7 6 6 7 6 7 7 7 6 4 3 3 5 7 8 9 10 10 11 12 15 18 15 8 2 3 5 5 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 5 5 4 5 5 5 4 4 4 3 4 4 5 4 4 3 3 3 3 4 5 5 5 5 5 5 5 6 7 6 5 6 11 14 15 13 10 8 6 6 6 5 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 5 5 5 5 7 9 10 11 11 11 11 10 17 10 -0 1 3 2 1 1 1 3 3 4 4 5 4 4 8 17 24 25 23 21 16 10 6 5 5 5 5 5 6 7 3 7 14 16 8 0 -0 3 5 6 6 5 6 6 6 8 7 2 -2 -4 2 4 3 1 1 4 8 5 4 5 4 4 5 7 7 8 10 10 7 5 5 3 -4 -8 -2 6 10 11 20 33 36 24 13 11 13 15 16 14 11 7 7 12 14 14 11 7 4 3 5 7 7 8 10 9 5 2 2 4 6 6 5 5 5 5 5 4 4 5 4 5 5 6 6 7 6 6 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 5 4 3 4 4 5 7 6 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 4 3 4 4 5 5 6 6 6 6 5 5 5 4 3 2 -2 -15 -32 -32 -13 2 5 4 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 4 4 5 5 5 5 6 7 9 10 9 7 7 7 9 10 9 7 5 3 4 6 8 10 12 12 10 7 5 3 2 2 3 5 5 5 4 4 5 6 7 7 6 5 4 4 4 4 5 5 5 5 5 6 7 7 6 6 6 5 4 5 5 6 7 8 9 10 10 10 9 8 8 8 7 7 6 5 5 5 7 7 6 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 6 7 6 6 6 6 7 7 6 5 3 2 4 6 6 7 8 8 9 11 17 22 21 11 3 1 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 3 4 4 5 5 5 5 5 4 4 4 3 4 4 5 5 4 3 3 3 3 4 5 5 5 4 5 5 5 6 7 6 5 4 6 9 12 13 12 11 10 10 10 8 5 4 3 3 2 2 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 3 3 4 5 6 6 6 6 7 9 10 12 12 13 13 14 19 10 1 2 2 1 1 1 2 3 3 4 5 4 4 7 16 23 23 20 19 15 9 5 6 7 7 6 4 5 9 8 1 -1 11 19 14 1 -2 2 5 6 5 3 1 2 5 7 6 3 -1 -3 3 7 4 -0 3 4 -1 -0 2 3 4 6 8 8 9 8 6 -0 -4 -2 1 2 3 3 2 6 11 12 20 33 36 26 17 16 17 16 15 11 8 7 11 14 15 12 8 5 4 4 5 7 7 8 10 8 5 4 3 4 6 6 6 6 6 6 5 4 4 4 5 5 5 6 6 6 6 5 5 5 6 6 5 6 6 6 6 5 4 5 5 5 5 5 5 5 4 5 5 5 4 5 5 5 4 3 4 4 5 6 6 5 4 4 5 6 6 5 5 5 4 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 5 6 6 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 6 5 5 4 3 1 -0 -5 -14 -18 -8 3 5 4 1 -0 2 4 4 4 4 4 4 5 5 5 5 6 6 6 5 4 3 3 4 5 5 4 5 7 11 12 9 7 8 10 11 9 7 5 3 4 5 7 9 10 10 8 6 5 4 3 3 4 4 4 4 3 3 3 4 6 7 7 6 5 5 4 4 5 6 6 6 6 6 6 7 6 6 6 6 5 5 5 5 6 7 8 8 8 8 7 8 8 7 7 7 7 6 6 6 7 8 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 7 6 6 6 6 6 5 5 6 6 6 4 3 2 4 5 5 5 5 6 6 7 13 21 22 14 5 2 4 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 3 4 4 5 4 4 4 4 3 3 3 4 4 5 4 3 3 3 3 4 4 4 5 4 4 4 5 6 7 7 6 4 4 5 8 9 10 11 12 13 13 10 7 4 3 3 3 2 3 3 3 2 2 2 2 3 3 4 4 4 5 5 4 4 3 2 3 4 5 6 6 6 6 7 8 10 12 13 14 17 19 12 1 -1 1 2 1 1 1 2 3 4 5 5 5 7 13 19 20 18 16 14 9 5 5 7 8 8 8 7 8 10 8 -1 -4 4 12 13 4 -0 3 5 5 6 4 2 3 5 6 7 6 2 2 4 8 5 2 5 5 -4 -3 -0 3 5 7 8 9 9 8 6 -1 -7 -3 1 5 9 9 6 8 10 13 21 27 24 15 14 19 20 17 12 8 6 9 13 14 12 10 7 5 4 5 5 5 5 8 10 8 5 5 5 6 6 5 5 6 6 6 6 5 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 5 4 5 5 5 5 5 4 5 5 5 5 5 4 4 4 5 5 4 4 4 4 5 5 4 3 1 2 5 6 6 5 5 3 4 4 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 7 7 8 8 7 5 5 5 5 5 5 5 4 4 5 5 6 7 7 7 6 6 5 5 5 4 3 2 2 2 1 -2 -6 -3 1 3 2 1 -1 -2 1 4 4 4 4 5 5 4 4 5 6 6 6 5 4 3 2 3 5 6 5 2 4 9 12 10 8 7 8 9 9 6 4 4 4 5 6 7 8 8 7 7 6 6 5 5 5 4 4 4 3 4 4 3 5 6 8 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 6 5 5 5 6 7 7 7 6 5 6 6 6 6 6 8 9 10 9 8 8 10 9 8 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 9 16 20 14 8 5 5 6 6 6 6 7 6 6 6 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 5 4 4 3 4 4 4 4 4 3 3 3 4 4 5 5 4 4 4 4 5 5 6 7 7 6 5 4 5 6 7 9 11 12 12 11 7 5 3 3 3 3 3 3 3 2 2 2 3 3 3 4 5 5 6 6 5 4 3 3 3 4 5 6 6 6 6 7 8 11 12 13 15 20 17 4 -4 -4 0 1 1 1 2 3 3 4 5 5 6 9 14 15 14 13 14 12 8 6 6 6 6 7 6 6 7 8 6 1 1 6 9 9 7 4 5 7 8 7 7 5 4 5 5 6 6 5 4 6 7 4 2 3 3 1 0 1 4 6 7 8 9 9 11 10 6 2 3 6 8 12 12 6 3 6 12 19 22 18 11 11 16 18 14 7 4 5 9 14 13 10 9 8 6 5 6 6 4 4 9 9 5 4 6 8 7 6 5 5 6 7 7 7 5 5 5 5 5 5 6 6 5 5 5 4 5 5 5 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 5 4 3 1 0 2 4 6 6 6 4 3 2 4 5 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 7 7 7 8 7 8 8 8 8 8 7 5 5 5 4 5 5 5 5 5 6 6 7 7 7 7 6 5 5 5 5 3 3 5 8 10 11 8 2 -0 1 2 2 3 1 -1 3 4 5 5 4 5 5 4 4 4 5 6 6 5 4 3 3 3 4 6 6 3 1 5 9 9 8 6 6 7 7 6 5 4 5 5 5 6 6 7 9 10 10 9 9 8 7 6 5 5 5 6 5 5 5 7 8 8 7 6 5 5 6 6 7 7 7 6 6 6 6 6 6 6 7 6 6 6 6 7 8 8 5 4 5 5 6 6 7 9 11 13 12 11 11 12 11 8 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 4 5 5 7 11 15 13 9 7 7 6 6 5 5 5 5 5 6 5 5 5 5 5 6 6 6 5 4 3 3 3 3 4 5 5 5 5 4 5 4 4 3 3 3 4 4 4 5 5 5 5 4 5 5 5 5 6 7 7 6 5 5 6 6 7 8 9 10 10 7 5 4 3 4 4 4 4 3 2 2 3 3 4 4 4 5 6 6 6 6 5 4 4 4 4 4 5 5 6 8 10 11 13 13 12 15 17 9 1 -1 -3 0 2 2 2 3 3 4 4 5 5 6 9 11 11 9 9 10 11 11 11 9 6 5 6 4 1 2 5 6 5 6 8 8 8 7 6 6 8 12 9 7 6 6 5 3 3 5 7 7 8 7 4 3 1 1 2 1 3 5 7 7 8 9 11 13 12 10 8 7 9 10 9 7 4 0 4 7 12 16 13 10 10 14 13 7 1 2 6 10 13 13 10 9 8 5 5 6 6 4 5 9 9 5 4 7 9 10 7 5 4 6 8 9 8 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 4 3 4 5 5 4 4 4 4 5 5 4 3 2 2 3 5 5 6 6 4 2 2 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 5 6 7 7 8 7 7 7 8 8 7 8 8 9 9 7 5 4 4 4 5 5 5 5 6 6 8 8 7 7 7 6 5 5 5 5 4 4 7 11 13 13 10 6 3 4 5 4 4 4 2 3 4 4 5 5 5 6 5 5 4 4 6 6 5 4 4 3 3 4 5 7 6 2 3 6 8 7 6 6 6 7 7 7 7 6 5 6 5 6 8 10 12 12 13 12 10 9 8 8 8 9 9 8 7 7 8 8 9 8 7 7 7 7 8 8 7 6 6 6 6 6 6 5 5 6 6 6 6 6 7 9 8 6 5 5 5 6 7 8 12 14 14 14 14 12 13 13 11 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 7 6 6 5 5 6 6 7 9 10 10 9 8 7 7 7 6 5 5 5 6 7 6 5 4 5 5 6 7 7 7 6 3 2 2 2 4 5 6 6 6 6 5 4 4 3 3 3 4 4 4 4 5 5 5 5 4 5 5 6 6 6 6 6 7 6 7 7 6 6 6 8 8 8 6 5 5 4 4 5 4 3 3 3 3 4 4 5 5 6 7 7 6 5 5 5 4 4 3 4 3 5 9 14 17 18 14 10 8 14 11 1 0 2 -0 2 2 3 3 4 4 5 5 5 5 6 7 7 7 6 7 9 10 12 13 11 7 6 7 4 1 2 7 8 4 3 4 7 9 7 6 6 7 9 9 7 9 8 5 1 1 4 7 11 11 8 4 3 1 1 3 2 4 7 9 11 9 11 14 14 12 10 9 8 9 9 5 -1 -1 1 3 4 6 8 9 10 14 13 6 -1 -1 6 10 10 13 12 9 9 8 5 4 5 5 5 7 9 8 5 5 6 10 13 10 5 4 6 8 9 9 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 5 5 5 5 4 5 6 7 7 6 6 5 4 3 3 4 6 6 6 6 6 6 7 6 6 7 6 6 6 6 6 5 5 5 5 6 6 7 7 8 8 7 7 7 7 8 8 8 8 9 8 6 4 4 4 5 5 5 6 6 6 8 8 9 8 8 7 6 5 5 5 5 4 3 2 3 7 8 7 6 5 5 6 6 6 5 1 -0 3 4 4 5 5 6 7 6 5 4 5 6 6 6 5 3 3 4 6 7 7 4 2 5 7 7 7 6 6 7 7 8 8 7 7 7 6 6 8 10 12 13 14 13 12 11 10 11 13 14 13 11 9 8 9 9 9 8 8 9 9 9 9 8 7 6 6 6 7 8 7 6 5 6 6 6 6 6 7 8 8 8 7 6 5 5 6 7 11 13 14 15 15 14 14 15 13 11 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 9 8 7 7 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 7 8 8 8 7 8 9 10 11 9 7 5 5 5 5 7 9 9 8 5 3 1 2 3 5 7 7 7 7 6 5 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 6 7 6 5 6 6 7 7 6 6 6 5 5 5 5 4 3 3 3 4 4 5 7 7 7 7 5 5 5 5 4 3 3 3 5 10 18 23 25 22 12 6 6 12 6 -3 -1 3 3 3 3 3 4 4 5 5 6 6 5 5 5 4 4 5 7 8 8 8 9 9 6 8 9 8 2 4 9 8 4 1 2 5 8 8 8 6 4 3 6 9 11 10 6 2 0 2 7 12 11 7 5 4 3 4 4 3 4 8 10 13 11 16 19 14 10 8 8 7 8 7 2 -1 0 3 1 3 7 10 11 13 14 9 1 -0 8 15 13 11 12 10 9 9 7 5 5 5 5 5 7 7 6 5 6 8 13 16 10 3 4 6 8 9 10 8 7 6 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 5 6 7 8 10 12 11 10 8 6 6 5 4 4 5 6 7 7 6 6 7 7 7 7 7 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 6 4 3 4 5 6 6 7 7 8 9 9 9 9 7 6 6 5 5 5 4 3 -1 -4 -3 3 6 6 5 5 6 6 6 6 5 3 2 3 4 4 5 5 6 7 9 8 6 5 5 5 5 5 4 3 4 7 8 7 3 0 3 5 7 8 8 7 6 6 7 7 7 7 7 7 7 8 10 11 11 12 11 11 10 12 13 15 16 15 13 11 10 9 8 8 8 8 10 11 11 11 10 8 7 6 7 7 8 9 8 8 6 6 5 5 6 6 7 8 9 9 7 5 6 7 7 7 10 12 13 14 14 15 16 16 15 13 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 13 12 12 12 11 10 10 9 8 7 6 6 6 5 6 6 6 6 7 6 6 7 8 8 9 8 7 6 5 6 6 7 9 9 10 11 12 14 13 11 10 9 8 7 8 9 11 11 8 4 2 2 4 6 8 9 9 8 7 6 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 3 4 5 6 7 8 7 5 5 5 5 4 3 3 3 5 10 17 23 26 27 22 12 8 11 8 -1 -6 -1 3 4 4 4 4 5 5 5 5 6 6 5 5 4 4 5 7 9 10 9 6 5 6 5 6 11 10 4 4 5 7 6 4 5 5 6 8 9 7 5 1 2 9 15 14 7 3 1 1 7 10 8 5 4 4 4 5 5 4 5 7 9 11 10 16 19 13 9 7 6 6 7 7 4 4 5 7 5 5 10 14 13 11 11 8 8 15 24 21 14 10 9 9 9 8 7 6 6 5 5 6 8 7 6 5 7 11 15 15 7 2 4 7 8 8 9 9 7 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 7 9 12 13 12 11 9 7 6 4 4 5 6 7 7 6 7 7 8 8 8 7 7 7 7 6 6 5 5 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 5 4 4 5 6 7 8 8 9 9 9 10 9 8 7 5 5 4 4 4 3 1 -1 -3 -1 4 5 5 6 6 6 7 7 6 5 4 3 4 4 5 5 5 5 6 10 11 10 6 4 4 3 4 4 4 4 6 8 8 6 0 0 4 5 8 8 8 7 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 9 11 13 14 15 15 13 11 9 8 7 7 7 8 9 10 12 12 11 10 8 7 7 7 7 8 8 9 9 8 7 6 5 5 6 7 9 9 7 6 7 9 7 5 6 8 9 10 11 12 14 16 16 15 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 15 15 15 15 16 16 15 14 13 11 9 8 7 6 6 6 6 7 8 8 7 7 7 8 9 9 9 8 6 5 4 5 5 6 7 8 9 11 12 14 16 17 16 14 11 8 7 9 11 10 8 5 5 6 8 10 11 10 9 7 5 4 4 3 3 3 3 3 4 5 5 5 5 4 4 5 5 6 6 6 6 5 5 6 5 5 5 5 5 5 4 5 5 5 6 6 6 6 5 4 4 3 4 5 6 6 6 5 4 4 4 3 3 3 4 7 10 15 19 20 20 19 19 18 18 16 3 -6 -4 1 4 5 5 5 5 5 5 6 6 7 6 5 4 6 9 11 10 10 12 11 8 5 4 5 5 9 10 6 4 5 7 7 6 6 5 6 8 8 9 7 4 0 4 15 17 11 6 2 1 5 7 4 3 3 3 4 5 5 5 6 6 7 7 9 12 12 10 9 7 5 6 6 5 6 10 10 9 8 5 8 12 12 10 10 13 19 27 29 21 12 9 7 8 9 7 7 7 7 6 6 7 7 7 6 6 8 14 17 12 4 2 5 7 7 8 9 9 7 6 5 6 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 5 7 9 9 9 8 8 6 4 4 5 5 6 6 7 7 7 7 8 8 8 9 8 8 6 6 6 6 6 6 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 7 5 5 6 7 8 9 10 10 10 10 10 9 8 6 5 4 4 3 3 3 4 5 6 5 5 5 4 5 6 7 8 8 7 5 4 2 -0 2 4 5 5 5 4 5 8 14 13 7 4 2 0 0 1 4 5 6 8 8 9 4 0 3 4 6 8 8 7 5 4 4 5 6 7 7 7 7 6 5 5 5 5 6 7 7 9 11 12 12 11 10 8 6 5 5 6 7 8 9 10 11 11 11 10 9 8 7 6 6 7 8 10 10 9 7 6 5 5 5 6 7 8 7 6 9 9 6 4 5 5 6 6 8 9 12 13 14 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 13 13 14 15 16 17 17 17 17 15 13 11 8 7 6 7 8 10 9 8 7 7 8 9 9 10 10 9 7 6 5 4 4 4 6 6 7 9 13 17 21 22 19 12 5 2 3 7 10 10 9 8 9 11 12 12 10 8 5 5 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 6 7 6 6 5 3 4 4 5 6 6 4 3 3 3 4 4 5 7 10 12 14 15 17 18 17 15 17 22 20 11 -3 -7 -1 4 5 5 6 5 4 5 5 6 6 7 6 7 9 11 14 15 11 9 11 11 9 6 4 4 6 8 8 6 4 5 5 5 8 6 4 6 6 7 8 8 6 2 2 11 19 18 10 3 -1 2 3 2 1 2 2 4 6 5 5 6 7 7 5 11 11 8 7 7 6 5 6 6 4 6 14 15 7 2 1 4 8 10 10 7 10 19 25 23 16 10 8 7 9 9 7 7 7 6 6 7 8 7 6 6 6 9 16 18 10 2 2 6 7 7 8 9 9 7 6 5 5 5 5 4 3 4 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 4 4 3 3 3 2 3 4 3 3 3 3 3 3 4 5 5 6 7 6 5 4 4 4 5 5 6 6 6 7 7 8 8 9 9 8 7 7 6 6 6 7 7 8 7 7 6 6 6 7 7 7 7 8 8 8 9 9 9 9 8 7 8 8 8 9 10 11 11 11 10 9 8 7 5 4 3 4 4 4 3 5 9 12 10 6 4 6 6 5 7 9 8 7 5 4 2 0 1 4 5 6 6 5 4 6 12 14 9 6 3 0 -1 -2 1 5 7 9 8 7 5 3 4 4 5 7 7 6 5 4 4 4 5 6 7 7 6 5 5 5 4 4 4 4 4 5 7 8 8 8 8 6 4 3 4 5 5 6 8 9 10 11 12 12 11 10 8 6 5 5 6 8 10 10 9 7 5 5 5 4 5 5 6 6 7 9 7 4 2 3 2 3 4 5 7 9 12 15 18 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 9 10 11 11 13 15 18 20 20 18 16 13 10 9 9 10 10 10 8 7 7 7 8 9 10 10 10 10 8 7 6 6 5 5 5 5 6 10 14 17 18 15 8 2 -0 -0 2 6 10 10 10 10 11 11 9 7 5 4 4 4 4 3 3 3 3 3 4 5 6 5 4 4 4 3 4 4 5 6 6 6 6 6 6 6 7 7 6 5 5 5 5 5 5 6 6 7 6 5 4 5 5 6 6 4 2 1 2 4 7 13 18 21 19 15 13 12 15 21 22 19 19 19 12 2 -6 -5 1 5 5 5 5 5 4 4 5 5 5 6 10 16 19 18 16 14 11 9 9 11 10 7 5 5 6 5 3 1 2 5 6 8 8 4 2 2 3 4 6 7 6 4 2 6 19 26 17 5 -1 0 1 -0 -0 1 2 5 7 6 5 6 7 6 5 9 10 9 5 3 5 5 4 4 4 6 11 15 10 0 -0 4 6 8 9 8 11 15 18 16 12 9 8 8 9 8 7 7 6 6 7 8 8 8 7 6 6 10 17 16 6 1 3 7 7 7 8 9 9 8 6 5 5 5 5 4 4 5 5 5 6 6 6 6 6 7 7 6 6 5 5 4 4 3 4 5 5 4 4 4 4 3 3 3 4 4 3 3 2 2 2 2 3 3 4 5 6 5 4 4 4 5 5 5 5 6 6 7 8 9 9 8 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 8 8 9 9 9 10 10 10 10 9 9 10 10 10 10 11 11 11 9 8 7 6 5 4 3 4 4 5 5 4 1 4 11 10 5 4 7 6 5 5 7 8 7 6 5 5 4 3 5 6 6 6 5 5 5 7 10 10 9 7 5 4 3 3 5 7 9 9 6 4 5 5 4 4 5 6 6 5 4 4 4 5 6 7 7 6 5 5 5 5 4 3 3 3 3 4 4 4 4 5 4 3 3 3 4 5 5 6 7 8 9 10 11 11 11 10 8 7 7 6 7 8 9 10 10 8 5 5 5 5 4 5 5 6 6 5 4 4 2 0 1 2 4 5 7 10 13 14 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 8 11 15 17 18 18 17 16 14 13 11 10 10 10 9 8 7 7 7 8 8 7 9 10 9 9 8 8 7 7 6 5 6 8 10 11 10 8 5 3 1 0 1 4 8 10 9 8 7 7 5 4 3 3 3 4 4 4 3 3 3 3 4 5 6 5 5 4 4 4 4 4 4 5 6 6 6 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 2 -0 0 4 9 16 25 32 32 22 11 7 9 14 20 25 22 14 9 4 0 -2 -1 3 5 5 4 5 4 4 4 4 5 5 7 13 19 20 17 14 12 11 11 9 11 12 10 6 4 3 1 -1 0 6 8 7 7 5 4 3 2 2 2 3 5 5 4 1 2 14 27 23 9 2 2 1 -1 -2 -1 2 6 7 5 4 5 7 6 4 5 6 7 5 4 6 6 3 2 4 6 6 12 16 10 7 6 5 8 11 11 13 16 16 13 10 8 9 9 9 8 8 6 6 6 7 9 8 8 7 6 8 13 16 11 3 1 5 8 7 7 8 9 9 8 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 5 4 4 4 4 4 4 5 5 5 3 4 4 3 2 2 3 4 4 3 3 2 1 1 2 3 3 4 5 5 5 4 4 5 5 5 5 6 6 7 7 8 7 7 6 6 5 5 6 7 7 7 7 7 6 5 6 6 7 8 8 9 10 10 10 10 11 11 10 10 11 11 11 11 11 11 10 8 7 6 5 4 3 3 3 4 4 5 7 9 5 3 6 6 5 5 5 6 5 3 7 10 8 6 6 6 6 5 5 6 6 6 6 6 6 5 6 8 9 9 9 9 8 7 6 7 8 9 7 6 6 5 5 4 5 6 6 5 4 4 5 6 6 7 7 6 5 5 5 5 5 4 3 3 3 2 3 3 3 3 4 4 3 3 4 5 5 5 6 6 7 8 9 10 10 10 9 9 8 8 8 8 9 10 10 10 8 7 6 6 6 5 5 5 5 5 5 5 3 1 1 3 4 5 5 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 4 4 4 6 9 11 13 15 16 16 15 13 11 9 9 10 10 10 9 8 8 8 7 6 6 7 7 8 9 9 9 9 8 7 6 7 9 8 6 6 5 4 3 2 1 4 8 9 7 5 4 3 3 2 2 3 3 4 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 5 5 6 6 7 7 8 9 8 7 7 6 6 6 6 6 6 5 5 6 6 7 7 7 6 3 1 2 5 11 16 20 25 27 22 11 4 5 8 13 17 16 12 1 -1 2 3 2 3 4 5 5 4 4 4 4 4 4 6 10 13 16 15 13 11 11 10 11 12 10 10 12 11 7 3 2 1 2 4 8 7 4 3 4 5 6 5 5 3 1 3 4 4 2 -0 3 15 21 14 7 2 1 -1 -2 -1 2 5 5 4 4 4 5 5 6 6 4 3 4 8 11 9 4 -1 3 6 7 11 15 13 9 7 5 10 16 17 17 17 14 11 9 9 9 8 8 8 7 6 6 6 7 8 8 8 6 6 9 14 13 7 2 3 7 9 8 8 8 9 9 7 6 5 5 6 5 5 5 5 6 5 5 6 6 6 7 6 6 5 5 4 4 4 3 3 4 5 6 5 4 4 3 3 2 2 3 3 3 3 3 2 1 1 2 2 2 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 6 6 7 7 7 6 6 5 6 6 7 8 8 9 9 10 10 10 11 11 11 10 10 11 11 10 10 10 9 8 7 5 4 3 3 3 2 2 3 4 5 8 13 15 8 4 4 5 5 6 7 6 5 8 11 8 6 7 6 5 5 6 5 5 6 6 6 6 6 6 6 7 7 7 8 7 6 7 7 7 8 8 7 6 5 5 5 5 6 6 5 5 5 6 7 7 7 7 6 5 5 5 5 6 6 5 4 4 4 3 4 4 5 5 5 5 5 4 4 4 5 5 5 5 6 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 6 5 6 5 5 6 6 4 3 3 4 4 5 6 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 5 6 6 6 6 6 6 6 6 7 6 7 8 8 9 11 11 10 9 8 7 6 5 5 5 5 5 5 7 8 10 10 11 13 15 17 17 17 17 17 17 19 21 20 14 9 6 7 9 11 12 11 9 8 8 8 8 7 6 4 4 4 5 6 6 6 6 5 6 7 7 8 8 8 8 7 6 5 6 7 7 7 6 5 5 5 5 6 7 6 5 4 4 5 6 6 6 6 5 6 6 6 5 4 4 4 3 2 3 7 11 16 20 21 19 32 43 32 14 4 2 1 1 0 0 -0 0 3 6 7 7 7 11 13 14 13 10 8 8 9 11 8 7 7 6 7 6 5 6 6 5 3 0 1 6 8 8 6 3 3 3 3 6 9 8 7 8 10 10 9 9 9 10 9 7 6 8 8 7 7 6 5 5 5 6 7 7 6 5 5 6 8 7 5 4 5 14 21 21 12 3 2 6 10 9 7 7 8 9 11 10 9 8 9 10 11 10 9 9 9 8 8 8 8 7 6 6 7 7 6 5 4 5 6 6 7 8 8 7 5 4 5 5 3 1 5 7 5 2 3 6 7 7 7 6 6 5 5 5 5 6 7 9 8 7 6 6 6 7 7 7 7 7 7 7 6 5 4 4 5 6 8 8 9 9 9 8 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 6 6 7 8 9 9 8 7 6 5 5 4 4 4 4 4 4 3 3 3 3 2 3 3 3 4 4 4 5 5 7 13 15 13 10 7 7 6 7 8 8 8 7 7 7 6 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 7 8 8 8 9 9 7 6 6 9 15 20 17 10 7 5 5 4 4 4 5 6 6 6 6 7 8 7 7 7 8 8 8 9 9 9 9 9 7 7 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 5 4 4 5 5 4 4 5 6 6 6 4 3 4 5 5 6 7 8 9 10 10 11 11 12 12 11 10 11 12 13 14 12 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 8 10 11 12 13 14 15 14 14 13 17 24 26 16 5 -1 -2 -1 4 6 9 11 13 14 15 14 15 13 12 12 12 14 15 16 16 15 14 13 11 12 12 12 12 13 13 12 12 12 11 11 12 12 11 11 11 10 9 9 10 11 11 12 13 14 14 13 12 11 10 10 11 12 12 13 13 13 13 12 11 11 12 13 14 13 13 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 12 13 13 14 15 15 14 14 13 13 13 13 13 12 12 12 12 11 11 11 12 13 14 13 13 12 9 11 15 16 16 15 13 13 13 13 10 11 14 16 16 13 12 13 14 14 14 14 13 13 12 12 12 12 13 13 13 12 13 14 13 13 12 12 12 12 12 11 10 11 12 13 14 14 12 10 8 10 16 26 26 20 16 13 13 12 13 12 11 11 12 14 15 14 13 12 10 10 15 17 15 15 16 16 15 15 14 14 14 14 13 13 13 15 16 17 16 15 13 13 14 16 17 17 15 15 16 17 18 20 19 16 13 14 14 14 13 12 10 12 17 21 21 18 15 15 14 14 14 15 14 14 13 13 13 13 13 13 14 15 14 14 14 14 14 13 13 13 12 12 12 11 11 12 12 11 11 11 10 11 11 11 11 12 12 12 11 11 11 11 12 12 11 11 11 13 12 10 8 8 9 9 9 9 9 9 9 10 10 10 9 9 10 10 9 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 11 11 12 12 12 12 13 12 12 12 12 12 13 14 14 12 12 15 15 13 10 8 6 5 8 11 13 13 13 13 13 13 14 14 15 15 14 14 14 14 16 17 18 18 15 12 12 12 12 12 12 12 13 14 16 19 22 22 18 15 13 14 14 13 14 14 13 13 14 15 14 14 14 14 15 16 15 14 14 15 14 14 15 14 14 12 14 15 15 14 14 15 14 13 15 17 19 18 15 13 12 13 14 14 13 14 14 14 13 12 12 14 15 14 13 12 12 12 13 13 13 14 13 13 13 12 11 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 15 16 19 26 23 9 -1 -2 3 6 6 4 7 10 14 15 15 14 14 13 13 14 14 15 15 15 15 15 14 13 14 14 14 14 14 14 13 12 11 11 11 11 12 12 12 12 12 10 10 10 10 11 11 12 12 13 13 13 13 11 11 10 10 11 12 13 13 13 13 12 12 12 13 13 13 13 12 11 10 10 10 11 12 12 12 12 11 11 11 11 12 12 11 11 12 13 13 14 15 15 14 13 13 12 12 12 12 12 12 13 12 12 12 12 12 13 14 13 12 11 8 10 15 17 16 14 14 13 13 14 12 11 13 14 14 13 13 13 14 14 14 13 13 13 11 11 11 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 12 12 13 13 11 9 3 1 7 22 33 32 27 19 14 13 12 12 11 11 12 13 14 14 14 14 13 12 12 13 13 14 15 15 15 15 15 14 14 14 14 14 13 13 15 17 17 16 14 13 13 14 17 18 17 16 15 14 13 19 24 19 15 15 15 15 14 12 5 2 6 11 16 18 17 17 15 15 14 14 15 14 14 13 13 13 14 14 14 14 13 13 13 13 13 12 13 12 13 13 12 12 12 11 11 11 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 9 10 10 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 12 11 11 11 11 11 11 11 11 12 12 13 12 12 13 12 12 12 12 13 13 13 14 14 12 8 5 5 6 8 11 13 13 13 12 12 12 13 14 14 14 14 14 14 15 16 18 18 15 13 11 12 13 13 13 13 13 12 12 12 13 13 14 14 14 14 14 14 14 14 14 13 13 13 13 14 15 15 14 14 15 15 14 13 14 15 16 16 15 14 13 13 14 15 15 15 15 15 14 14 15 17 19 16 14 13 13 14 13 13 13 14 14 13 12 13 14 14 15 13 12 13 12 12 13 14 14 14 14 12 12 12 12 13 13 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -2 -0 7 12 8 6 10 13 15 14 11 11 12 15 16 17 16 15 14 14 13 13 13 14 14 15 16 16 16 14 12 11 11 10 10 11 12 12 12 13 13 13 12 12 12 12 13 12 12 12 13 14 13 12 10 9 9 10 12 13 13 13 12 12 12 12 13 13 13 12 12 12 10 11 11 12 13 13 13 12 12 11 11 11 11 11 12 12 13 13 14 14 15 15 14 13 12 12 11 10 11 11 12 13 14 14 13 12 12 13 13 13 12 12 11 11 14 14 14 14 13 13 14 14 14 13 13 13 12 12 13 13 13 14 14 14 13 13 11 11 11 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 12 12 11 12 12 12 10 7 1 -1 5 17 26 31 31 24 17 13 12 11 12 12 12 13 14 14 14 14 13 12 12 13 14 15 15 14 15 16 17 17 15 15 16 15 15 16 17 17 17 16 15 13 13 15 17 17 17 15 11 8 12 18 17 16 15 14 14 16 15 11 6 5 7 10 13 15 16 16 14 14 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 13 12 12 12 12 11 11 12 13 13 12 12 12 12 11 11 12 13 13 13 13 13 13 13 13 13 12 10 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 11 12 12 12 12 12 13 12 12 12 12 13 12 14 14 14 13 10 8 8 10 11 13 14 14 13 12 12 12 13 14 14 14 14 14 13 14 14 15 16 15 13 12 12 13 13 13 12 12 12 12 12 12 11 12 13 14 14 14 15 14 14 14 13 13 12 12 13 14 15 16 16 14 15 15 14 12 14 16 16 15 14 14 13 13 13 14 14 15 15 15 16 16 15 16 18 16 13 12 14 14 12 13 14 14 13 13 12 13 14 14 14 13 13 12 12 12 13 14 14 14 13 12 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 14 13 13 15 18 19 18 15 14 14 14 13 13 14 14 14 15 16 16 15 14 12 11 10 9 9 10 11 11 12 13 13 13 13 14 14 14 13 14 13 14 15 15 13 11 10 8 8 10 11 12 13 13 13 13 12 12 13 13 13 13 12 11 11 12 13 13 14 14 15 13 12 11 11 11 11 12 12 13 14 14 15 15 15 15 14 13 13 12 11 10 10 11 12 13 13 14 14 13 13 13 12 13 13 12 12 12 12 13 14 13 13 13 14 14 14 14 13 13 13 13 13 13 12 13 14 14 13 13 12 11 12 12 12 13 13 13 13 14 14 13 12 12 12 12 12 12 12 13 12 12 11 11 11 12 13 11 3 -0 1 9 19 33 33 21 15 14 13 13 13 14 14 15 15 15 15 13 13 12 12 12 15 15 13 13 15 20 24 20 17 18 18 16 16 16 15 14 15 14 13 12 12 14 15 16 15 13 11 11 13 14 14 14 14 14 15 16 17 14 10 8 8 9 11 13 14 14 14 13 13 15 15 15 15 15 15 14 13 13 14 14 13 12 12 12 12 13 13 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 13 14 13 13 13 14 13 12 11 10 10 10 9 9 9 9 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 12 13 12 12 12 13 14 14 14 13 12 12 11 11 11 13 14 14 14 13 13 13 13 13 13 14 14 13 13 13 13 13 14 16 16 15 13 12 12 13 13 13 12 12 12 12 12 12 12 12 14 14 14 13 13 13 13 13 13 12 12 13 13 14 15 16 17 17 17 16 14 13 14 16 16 14 13 13 13 13 13 14 14 14 14 14 15 17 17 17 17 16 15 13 13 13 14 14 15 14 13 12 12 12 13 12 13 13 13 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 11 11 13 14 15 16 16 16 16 15 14 13 12 10 9 8 9 10 9 10 10 11 12 12 13 14 15 14 14 14 13 14 16 16 14 11 8 7 8 9 10 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 13 15 15 15 14 14 13 12 11 11 11 12 13 13 14 15 16 16 15 14 14 12 13 12 11 11 11 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 14 13 13 14 13 13 13 12 12 12 13 13 13 14 13 13 12 12 11 12 13 14 13 13 13 13 13 13 12 12 13 12 12 13 13 13 12 11 11 11 12 12 14 12 9 3 -1 5 26 37 28 21 16 14 14 16 16 16 16 16 16 16 16 15 14 14 14 15 15 11 6 6 16 28 26 21 23 20 17 17 17 15 13 12 12 13 13 13 13 13 14 13 12 12 12 12 12 12 12 12 12 13 14 14 13 11 10 9 9 9 10 11 12 14 13 12 13 15 15 15 16 16 16 16 16 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 15 16 16 15 14 15 15 14 14 13 13 12 11 10 9 10 9 10 9 9 9 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 12 12 12 12 12 11 12 13 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 13 14 14 12 10 10 11 12 12 12 13 13 14 14 13 13 13 13 13 14 14 13 13 13 13 12 13 15 18 19 18 14 12 12 13 13 13 12 12 12 12 11 11 11 12 13 13 13 13 13 13 13 13 13 13 13 14 15 15 16 16 15 16 17 16 15 14 15 15 14 13 13 13 14 13 13 14 14 14 15 15 15 15 16 17 17 17 15 13 11 12 14 15 14 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 4 3 3 3 3 3 3 4 5 6 10 17 24 30 35 37 36 36 39 42 39 30 22 11 3 0 0 1 2 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 20 26 15 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 2 0 0 1 3 5 16 16 5 1 0 0 0 0 0 0 0 0 0 2 14 17 13 3 0 0 0 5 12 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 1 6 13 11 8 14 14 18 15 18 5 5 16 25 27 53 75 108 120 117 109 100 77 47 33 32 33 42 58 69 76 83 90 96 102 104 111 116 102 92 103 120 125 129 132 128 114 97 101 119 130 141 147 143 136 138 139 132 119 108 96 85 80 81 85 93 87 74 69 76 98 123 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 2 3 3 3 3 4 4 4 4 4 11 19 25 30 31 32 33 37 37 34 29 21 12 4 2 2 2 2 4 4 4 3 2 1 1 1 1 0 0 0 0 0 1 1 1 1 2 4 5 6 6 6 6 6 6 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 30 29 13 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 9 14 18 20 12 2 0 0 0 0 0 0 0 0 0 1 7 15 18 17 8 2 0 0 4 14 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 4 3 2 4 2 0 0 1 4 12 10 30 44 71 93 112 116 107 85 38 15 13 13 31 61 82 85 82 84 92 102 107 114 114 111 111 119 123 125 126 127 126 114 99 98 111 127 137 138 137 135 134 129 122 115 108 100 91 82 76 73 74 76 74 76 84 102 124 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 3 2 2 2 3 3 3 3 3 3 3 4 8 14 20 24 26 27 30 33 34 34 29 21 11 7 6 5 4 4 6 7 8 10 11 9 7 4 1 2 1 1 1 2 3 3 4 4 5 5 6 6 6 6 6 6 6 5 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 26 35 26 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 21 22 18 6 1 0 0 0 0 0 0 0 0 0 2 8 16 20 19 16 8 2 0 0 3 10 12 10 6 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 1 3 3 5 10 6 4 3 1 2 1 9 14 32 53 73 88 85 62 28 14 15 16 33 66 96 106 97 88 89 97 104 106 109 112 114 118 123 124 122 122 122 115 103 99 107 123 132 133 137 140 138 132 123 117 115 111 104 96 90 83 75 72 75 82 96 116 132 139 137 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 nan nan nan 4 4 4 3 2 2 2 2 2 3 3 3 3 3 3 5 7 11 15 19 25 29 30 31 30 27 22 17 14 12 9 8 9 11 14 17 18 15 11 7 4 3 3 2 2 3 4 5 6 7 7 7 7 6 5 5 5 5 5 5 4 4 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 19 36 36 23 9 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 1 7 16 20 20 12 3 0 0 0 0 0 0 0 0 0 0 4 7 12 17 20 19 13 4 0 0 0 0 0 2 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 7 11 13 18 27 30 24 16 6 0 0 1 7 20 40 59 64 54 43 41 57 70 71 75 89 117 128 122 106 95 96 104 105 102 102 106 109 115 121 116 116 119 115 106 104 106 112 117 122 131 140 145 144 138 126 116 112 108 106 105 102 95 86 82 86 102 124 137 137 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 4 3 3 3 3 2 2 2 2 2 3 3 3 2 2 3 5 8 13 18 22 26 27 26 25 24 21 18 16 14 13 14 15 17 17 15 11 7 4 3 3 4 4 4 6 7 8 9 10 11 9 6 5 5 4 4 4 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 30 41 34 21 12 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 15 15 16 13 5 1 0 0 0 0 0 0 0 0 0 0 2 6 8 11 14 15 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 14 18 18 21 29 41 45 36 17 2 0 6 9 8 38 78 78 36 29 70 103 122 120 110 107 120 141 140 127 109 99 104 107 102 99 100 100 100 103 107 111 116 116 112 110 107 104 105 112 125 138 150 160 159 139 114 104 103 105 110 117 119 111 99 94 106 124 134 132 126 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 6 6 4 3 3 3 3 3 2 2 2 1 1 2 2 2 2 2 2 3 4 6 12 19 24 25 24 23 22 20 19 18 16 15 15 14 15 15 13 10 6 5 6 6 6 6 7 8 10 10 10 9 7 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 39 44 33 22 16 12 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 1 8 18 22 18 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 7 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 7 13 21 21 18 19 23 29 35 36 28 12 3 6 15 18 47 99 105 78 56 93 132 137 130 116 107 106 118 135 136 124 108 103 105 107 104 102 100 95 92 96 107 115 117 116 115 112 106 103 111 122 130 144 162 168 148 115 96 96 102 113 126 138 136 119 108 111 122 131 132 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 7 4 2 2 3 3 3 3 3 2 2 1 1 1 2 2 2 2 2 1 2 4 8 15 19 20 19 18 17 17 17 16 15 14 14 15 14 13 12 10 8 8 8 8 8 7 7 8 8 7 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 31 46 45 34 26 20 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 11 22 20 13 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 6 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 1 8 17 18 18 19 16 19 20 17 18 23 26 24 24 29 33 29 25 19 33 38 63 106 112 120 113 124 132 133 128 114 103 92 96 116 130 129 118 107 104 109 112 110 106 100 94 95 106 117 120 118 119 118 114 113 121 130 133 140 157 168 152 115 92 91 103 118 134 147 148 132 119 115 121 131 138 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 11 10 9 6 2 1 2 2 3 3 3 3 2 2 2 2 2 1 1 1 1 1 2 2 3 6 10 12 12 12 11 10 10 10 10 10 9 8 8 9 9 9 8 8 8 8 7 6 5 5 5 4 3 3 3 3 2 2 1 1 2 2 2 2 2 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 38 48 44 36 29 23 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 16 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 21 32 28 22 18 18 16 10 7 12 24 34 34 30 34 39 43 45 46 51 63 93 101 109 121 122 117 111 117 119 114 105 88 84 100 119 126 122 114 108 109 115 115 111 107 104 105 113 123 125 120 117 120 125 129 140 146 151 152 158 163 150 122 99 94 103 119 136 149 147 132 120 117 122 134 144 146 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 16 15 12 8 2 0 1 1 1 2 2 3 3 2 2 2 2 2 1 0 0 0 0 0 1 2 4 5 7 7 6 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 7 6 4 3 3 4 4 4 2 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 25 43 48 44 38 33 25 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 12 6 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 2 3 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 19 25 22 16 14 16 17 11 2 0 3 12 31 49 50 52 55 61 64 62 65 75 84 90 97 102 102 100 99 101 106 110 106 91 81 87 105 121 129 123 112 109 116 118 112 110 110 112 120 126 123 116 112 120 128 131 142 153 161 163 160 152 139 123 109 101 103 114 130 141 138 126 119 118 124 135 144 146 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 19 18 15 10 3 0 0 0 0 0 1 2 2 3 3 3 3 2 2 1 0 0 0 0 0 0 1 2 3 4 5 5 4 4 3 3 2 3 3 4 4 4 4 4 5 6 7 7 6 4 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 30 45 48 45 42 38 30 17 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 4 8 11 13 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 21 24 20 16 15 18 22 19 7 0 0 0 2 28 62 73 72 72 80 91 93 95 96 94 89 87 86 84 84 83 86 92 96 100 94 85 83 95 108 127 127 110 110 118 118 112 111 114 116 122 126 119 108 103 108 112 115 122 134 146 152 149 138 120 106 104 104 106 111 118 122 123 124 124 122 123 128 135 138 137 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 27 22 18 12 4 0 0 0 0 0 0 0 0 1 2 4 4 3 2 1 0 0 0 0 0 0 0 0 1 3 4 5 5 5 4 2 0 1 2 3 4 4 4 4 4 4 6 7 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 33 45 46 44 45 44 36 22 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 18 18 14 7 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 1 11 21 20 19 21 25 26 28 27 14 2 0 0 0 0 27 66 87 90 90 96 108 117 121 118 107 94 86 80 76 75 75 78 84 84 90 92 91 90 93 94 105 109 106 109 118 117 112 111 114 116 119 124 123 112 101 97 94 96 104 113 123 131 132 125 109 92 86 92 103 112 117 112 114 128 132 126 121 122 126 130 134 nan nan nan nan nan nan nan 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 28 25 21 16 9 3 1 0 0 0 0 0 0 0 1 2 4 4 2 2 1 0 0 0 0 0 0 0 0 1 2 3 4 5 5 4 2 1 2 4 5 5 5 4 3 2 3 4 4 3 2 2 2 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 33 43 44 43 46 48 41 26 11 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 1 2 1 2 9 17 17 12 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 19 15 17 25 35 41 40 33 18 5 6 12 10 15 32 62 87 99 105 110 117 124 129 124 114 102 92 85 80 78 78 80 84 82 84 86 89 92 97 90 92 97 104 110 115 116 112 111 114 114 115 120 125 124 118 106 95 94 101 109 116 120 126 126 115 90 70 67 85 113 126 125 121 129 130 122 117 118 121 126 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 15 18 20 20 20 16 10 5 2 1 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 5 4 4 6 7 6 5 3 1 0 0 1 1 1 1 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 31 40 43 43 46 48 42 28 13 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 1 4 5 4 3 5 8 7 4 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 14 14 13 21 35 48 52 43 27 19 26 40 52 64 71 73 83 91 99 106 114 123 126 126 122 115 106 99 92 89 85 83 87 86 85 85 86 92 98 96 92 86 91 104 112 115 113 112 113 114 114 118 122 125 126 119 110 106 106 108 112 118 129 137 134 109 73 52 60 84 111 129 130 129 123 113 107 108 114 120 126 129 nan nan nan nan nan nan 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 8 12 15 18 19 17 13 9 4 2 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 5 7 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 17 26 34 40 45 49 49 44 31 16 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 1 3 4 2 1 0 0 0 1 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 1 7 13 15 13 16 25 41 55 55 46 45 56 69 86 99 100 95 89 88 90 95 103 116 127 132 132 132 128 121 110 101 94 88 87 86 84 82 84 91 100 106 103 92 89 99 109 114 114 113 112 112 114 118 120 122 125 126 122 118 115 114 116 122 133 142 144 133 105 72 55 68 103 130 136 132 124 114 104 101 105 111 116 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 1 2 5 8 11 14 16 17 16 15 12 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 1 2 3 6 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 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 0 0 0 0 0 0 0 0 1 3 9 16 21 28 36 44 50 51 47 37 22 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 21 24 23 24 35 54 66 66 68 75 78 87 95 97 100 102 99 96 91 89 92 100 111 119 128 136 138 135 122 109 99 94 92 91 89 90 95 103 113 116 106 97 101 107 111 112 113 111 110 110 116 120 119 122 127 130 129 125 122 125 131 137 143 146 145 135 108 81 83 109 127 132 133 129 121 113 105 103 105 107 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 0 0 2 3 4 6 8 11 14 18 17 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 1 4 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 15 17 23 32 39 46 50 48 40 25 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 12 23 31 36 40 47 64 78 82 78 73 60 50 58 66 77 91 100 102 97 87 77 70 74 87 102 116 128 139 141 129 117 111 108 106 103 101 102 107 116 121 115 104 101 106 108 109 112 115 113 109 110 112 113 115 123 130 132 129 126 129 135 138 140 143 145 145 138 122 115 121 120 119 122 124 122 117 112 108 108 106 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 1 0 0 1 2 2 2 3 4 9 15 17 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 14 15 18 26 34 41 46 46 39 25 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 6 7 7 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 1 3 5 2 0 0 0 0 0 0 0 0 0 0 0 3 9 17 26 36 51 63 77 88 89 76 53 27 16 17 27 31 44 62 80 90 93 88 76 68 71 80 90 100 112 125 130 128 124 120 118 115 110 106 106 113 121 121 113 105 106 108 109 113 120 121 114 108 106 107 108 115 124 125 121 118 119 124 128 129 133 138 142 145 144 138 135 123 112 111 112 112 111 110 111 111 107 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 1 1 0 0 0 1 6 13 17 14 7 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 1 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 13 15 20 28 35 40 41 36 24 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 5 6 6 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 1 6 11 13 16 22 40 52 65 80 84 71 43 20 9 7 7 6 8 15 34 52 73 93 98 88 77 71 73 77 84 94 106 114 118 117 118 117 113 104 101 105 114 120 117 111 109 110 112 116 123 125 120 112 107 106 107 112 117 116 110 103 103 108 112 115 118 123 132 141 145 143 139 129 117 109 107 107 107 106 106 105 101 98 97 nan nan nan 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 0 0 0 0 0 1 6 14 19 16 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 1 3 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 9 11 15 21 29 34 35 32 23 11 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 2 3 4 4 4 5 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 6 8 13 9 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 11 10 11 17 24 30 45 57 60 51 35 18 6 1 2 2 1 5 14 25 49 85 100 92 74 64 62 63 69 76 85 94 97 101 105 107 104 100 101 107 113 115 113 112 113 113 117 125 129 125 116 109 109 112 115 115 112 105 97 94 98 102 106 110 111 118 130 139 140 135 128 121 113 109 110 110 108 102 95 89 87 92 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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