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