Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 3 3 3 2 2 2 3 3 4 4 3 2 2 4 4 4 3 2 2 2 2 2 3 3 4 3 4 4 4 3 2 2 2 2 2 3 4 4 3 3 3 4 4 3 3 2 2 2 2 1 1 1 1 1 2 2 2 3 3 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 5 5 5 5 6 7 7 8 8 8 9 10 10 10 9 9 8 8 7 7 7 6 5 4 4 5 6 6 5 4 4 4 5 5 6 5 5 5 6 5 9 18 20 11 6 5 5 4 7 10 12 11 9 5 3 10 12 3 5 8 7 7 7 3 0 -4 -6 -5 -2 3 5 7 7 10 11 5 -1 -5 -7 -1 5 5 1 2 4 6 10 9 4 2 2 6 11 11 11 13 14 11 5 4 5 6 5 3 2 7 19 33 41 35 25 15 7 4 4 5 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 4 3 3 2 3 2 3 3 3 4 4 4 4 3 3 2 1 1 1 2 4 5 6 8 10 11 9 6 5 5 5 5 4 4 5 6 5 4 5 4 3 4 4 4 4 3 4 4 3 3 4 4 3 4 4 3 3 2 3 3 4 4 4 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 1 2 2 2 3 3 2 2 2 2 6 11 13 13 12 9 8 9 7 1 -2 -1 -0 -1 -4 -2 3 4 -0 -4 -5 -4 -0 -4 -11 -10 -9 -11 -10 -4 3 5 4 4 5 6 9 12 13 14 9 5 5 5 4 4 5 5 7 9 9 7 8 10 9 9 9 9 8 7 7 6 5 4 3 4 6 7 8 9 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 3 3 3 2 2 2 2 3 3 2 2 3 4 4 4 3 3 2 1 1 2 2 3 3 3 4 4 4 3 3 3 2 3 2 2 3 2 2 3 4 4 5 4 3 2 2 2 3 2 0 0 1 1 2 2 2 3 3 3 2 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 3 4 3 3 3 3 4 4 4 4 3 4 4 3 3 3 4 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 7 8 8 8 8 8 9 10 11 11 10 10 9 9 8 8 7 7 6 5 4 5 5 6 5 4 4 5 5 5 5 5 5 5 5 7 13 22 21 12 7 7 9 6 7 11 14 12 8 3 -1 3 9 2 2 4 3 1 5 8 4 -1 -2 -2 -0 1 2 4 6 10 11 5 1 1 1 2 3 3 1 1 -0 2 5 6 3 2 5 9 17 19 15 11 10 8 6 8 10 11 10 8 8 19 34 40 36 28 19 10 4 4 4 4 4 4 3 3 3 4 4 3 3 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 2 3 4 5 5 3 4 9 14 12 7 5 5 4 4 5 6 7 6 5 5 3 3 4 4 4 4 4 4 4 3 2 2 2 3 2 2 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 4 4 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 2 3 2 2 2 2 1 1 1 1 1 2 1 2 2 2 2 2 2 2 4 10 11 9 11 14 15 14 13 11 5 5 5 5 6 10 9 7 7 4 -0 2 5 2 -3 -3 -4 -7 -5 1 6 4 3 4 5 6 7 8 9 7 4 4 4 4 5 5 5 5 5 5 5 5 6 7 9 9 9 9 8 7 6 5 4 3 3 5 7 9 9 8 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 4 3 2 2 2 2 2 2 2 3 5 5 5 4 3 2 1 1 1 2 3 4 3 3 4 4 4 4 4 3 4 3 3 3 2 2 3 3 4 5 5 4 3 3 3 4 3 2 1 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 2 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 3 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 7 8 8 8 7 8 9 11 12 12 12 12 11 10 9 8 8 8 7 5 4 4 5 5 6 6 5 5 5 6 5 4 5 5 5 9 20 26 17 10 8 8 6 3 5 9 13 12 8 3 -5 -6 0 5 -1 -3 -2 -2 5 11 8 4 2 2 2 2 3 4 4 5 7 6 3 2 4 4 3 -1 -5 -4 -0 2 1 0 1 6 10 12 14 15 14 9 5 4 6 10 13 13 11 11 17 27 32 29 24 19 12 6 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 1 2 2 3 3 4 4 3 0 2 12 22 19 8 5 5 4 5 6 8 7 5 5 5 4 4 5 5 4 4 4 4 4 3 3 2 0 0 0 -2 -1 2 3 3 4 4 5 4 4 5 4 4 3 3 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 2 2 1 1 1 0 1 0 1 0 1 2 4 4 4 5 5 9 11 11 12 12 12 13 14 14 11 10 10 10 10 8 6 6 9 9 3 2 5 8 5 3 1 -2 -1 6 10 7 4 5 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 6 8 9 11 11 9 8 7 6 4 3 3 6 8 9 9 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 5 5 4 4 3 3 2 2 2 2 2 3 4 6 6 4 3 3 2 1 1 2 2 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 4 5 5 5 4 5 5 4 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 8 8 7 7 7 8 10 11 12 13 13 13 12 11 10 9 9 8 7 6 5 4 5 5 5 5 5 5 5 6 6 5 5 5 5 7 12 12 9 10 7 6 4 1 4 9 8 8 8 6 -3 -7 -2 6 2 -1 1 4 6 8 6 6 6 6 5 5 6 6 3 1 2 4 4 3 3 3 3 0 -3 -3 0 2 3 3 3 6 9 10 8 10 14 12 6 5 6 9 11 12 12 15 22 26 23 20 17 12 6 5 5 4 4 4 4 3 4 3 3 4 3 4 4 4 4 4 4 3 3 3 3 3 4 4 3 4 3 3 3 3 2 2 2 2 2 2 3 4 3 3 2 1 1 4 17 26 17 6 6 5 5 6 7 6 4 4 5 5 5 5 5 5 5 4 5 5 4 4 5 3 -0 -1 -2 -4 -3 2 4 4 4 4 5 4 4 5 5 4 3 3 2 3 3 3 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 5 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 1 -0 -1 0 1 1 1 3 5 6 7 8 8 9 11 14 14 10 7 8 10 9 8 8 9 11 13 9 5 4 5 9 10 7 7 5 2 2 3 2 4 10 15 14 9 9 10 10 9 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 9 11 12 11 9 8 7 5 3 4 6 8 9 8 7 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 5 5 5 4 4 3 3 2 2 3 4 5 6 5 4 4 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 5 4 4 3 2 3 3 4 5 5 5 6 5 5 5 5 5 5 5 7 7 6 4 3 3 4 4 4 5 5 5 5 4 4 3 4 4 3 3 4 4 4 4 4 3 3 4 4 3 3 3 3 3 4 4 4 5 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 7 8 7 7 7 9 10 11 12 13 14 13 12 11 10 9 9 9 8 7 6 5 5 5 5 5 5 5 6 6 7 6 6 5 4 3 -2 -6 2 10 7 7 8 4 4 6 4 9 12 9 1 -2 0 4 6 6 7 8 6 4 4 6 6 7 7 6 9 9 5 2 1 2 2 2 2 3 3 3 2 3 5 3 6 8 8 4 1 4 7 9 13 13 11 8 6 8 10 10 13 19 23 21 18 15 11 6 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 3 2 1 1 2 3 8 20 26 14 8 6 4 5 6 6 5 4 4 5 5 5 4 5 4 5 5 6 5 4 4 5 4 2 -1 -1 3 6 5 4 3 4 4 4 4 4 5 5 4 4 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 2 3 3 4 5 7 7 7 8 8 9 11 12 9 6 6 7 6 5 5 5 8 14 14 10 8 5 8 13 12 10 8 3 2 3 5 7 10 16 18 16 15 15 14 11 8 6 5 6 6 6 6 5 5 5 5 6 5 5 6 6 6 6 7 9 11 12 10 9 7 6 4 4 6 9 9 8 6 5 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 4 4 3 4 4 5 5 5 4 3 3 2 2 3 4 5 5 5 5 5 4 3 2 2 3 4 4 5 5 4 4 4 4 4 4 5 5 4 3 3 3 3 3 4 5 5 5 4 4 5 5 5 5 6 8 9 8 5 4 4 4 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 5 5 4 4 4 4 4 3 3 4 3 3 4 4 5 5 4 5 5 5 5 6 7 7 7 7 7 8 9 11 13 14 15 13 12 11 10 9 9 9 8 7 6 5 5 5 5 5 5 5 6 6 7 7 6 5 5 3 3 7 10 4 0 7 11 4 -7 -7 3 13 17 13 6 1 2 4 6 7 7 7 6 4 5 5 5 6 7 5 8 10 7 4 2 2 3 3 3 4 5 5 5 7 12 11 4 2 9 7 -3 -1 10 12 10 10 11 9 7 7 9 12 15 20 19 15 12 10 7 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 3 3 3 3 3 3 2 2 2 2 2 1 1 1 2 4 6 11 23 30 20 10 5 3 5 5 5 5 5 4 5 5 4 4 4 4 5 6 6 4 4 4 4 4 4 0 0 6 10 7 4 3 4 4 3 3 4 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 6 5 6 5 5 4 4 5 4 5 4 4 3 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 5 6 8 9 8 7 4 2 2 4 7 7 6 6 5 4 5 6 5 7 8 7 5 4 5 6 5 5 3 2 8 13 15 13 9 10 13 12 10 7 6 4 4 5 6 9 14 19 18 16 15 15 13 9 6 6 6 7 8 7 6 6 6 6 6 6 6 6 6 6 6 6 7 10 11 11 10 9 7 5 6 7 9 8 7 6 5 5 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 5 4 3 3 3 4 4 5 5 4 4 3 2 2 3 3 4 4 4 5 4 3 2 2 3 3 4 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 8 10 9 6 5 4 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 4 4 4 4 3 4 3 3 4 3 3 4 4 4 4 5 5 5 5 6 7 7 7 7 8 7 7 10 13 15 15 13 12 10 9 9 8 8 7 7 6 5 5 5 5 5 5 5 5 6 7 7 6 6 5 5 9 20 24 11 -1 1 4 -5 -17 -11 7 15 15 11 9 5 3 3 4 5 6 6 6 5 5 4 4 6 7 7 5 6 5 4 3 3 6 6 5 5 7 6 6 9 16 20 5 -4 6 11 5 1 6 10 9 7 8 8 6 7 11 13 16 17 14 9 7 6 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 4 3 3 3 2 3 3 2 2 3 3 2 1 1 2 4 6 9 14 26 37 27 12 5 4 5 5 6 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 1 0 4 6 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 6 6 5 5 4 4 4 4 4 4 4 4 3 3 2 2 2 1 1 0 0 1 1 2 4 4 4 6 8 11 14 17 16 14 11 6 2 3 6 9 8 6 4 3 4 5 5 6 6 6 5 5 5 4 5 7 6 3 2 6 8 10 11 11 10 8 6 4 4 4 3 4 5 8 13 18 17 12 9 10 11 9 7 7 7 9 9 9 7 6 6 7 6 6 6 6 6 6 6 7 8 9 11 12 11 10 8 6 7 7 8 8 7 5 5 7 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 6 5 4 3 3 3 3 4 4 4 4 4 4 3 2 2 3 3 3 4 4 3 3 3 3 3 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 5 7 8 7 6 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 6 7 7 6 6 6 6 7 8 11 14 14 14 11 10 9 9 8 7 7 6 5 4 5 5 5 5 5 5 5 5 6 7 7 6 6 5 6 10 16 17 11 4 0 -5 -9 -3 7 9 6 5 7 8 6 5 5 6 5 6 6 4 4 4 3 6 7 7 4 2 3 3 3 5 8 7 5 5 7 6 8 7 10 19 13 3 7 12 8 7 5 9 9 4 5 8 8 9 13 14 14 12 8 5 6 6 5 6 5 5 5 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 3 3 2 2 3 2 2 3 3 2 1 1 2 4 6 9 11 15 26 41 36 16 5 5 6 6 7 6 5 5 5 5 6 6 5 4 4 5 5 5 4 4 4 4 5 5 4 2 2 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 6 6 6 5 5 4 4 4 4 3 4 4 4 3 3 2 2 1 1 1 1 1 0 -0 -1 -1 0 1 2 3 6 9 12 14 15 16 15 14 13 9 5 3 6 8 7 6 5 5 5 6 8 7 6 6 7 8 6 4 6 8 6 3 3 1 2 6 7 6 4 3 4 4 3 3 4 6 8 12 16 15 9 2 -0 3 7 8 8 9 9 9 9 8 7 7 7 7 6 6 5 6 7 7 8 9 10 10 11 12 11 10 7 7 7 7 8 7 6 5 7 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 5 6 5 5 5 4 3 2 2 3 3 4 4 4 3 3 3 2 3 4 4 4 4 4 3 3 4 4 4 4 5 4 4 4 5 5 5 6 6 5 5 5 5 4 5 4 4 4 3 3 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 6 7 6 5 6 6 6 6 8 11 12 12 10 9 8 8 8 8 7 6 5 4 4 4 5 6 5 5 5 5 6 6 7 7 6 5 5 3 3 8 15 13 6 1 0 3 5 2 0 2 6 9 9 7 6 7 6 5 5 4 3 2 2 4 6 6 4 1 2 3 4 9 11 8 5 4 5 6 7 6 4 6 5 2 7 11 8 6 5 8 10 8 8 10 11 10 10 11 11 9 6 5 6 6 5 5 5 5 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 4 4 5 4 4 2 2 2 2 2 2 2 2 2 1 2 4 6 7 9 12 15 22 33 38 26 13 8 6 5 6 6 6 5 5 5 6 6 6 5 6 6 6 5 5 6 5 5 5 5 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 0 -0 -1 -1 -1 -1 -1 0 2 5 8 8 8 8 9 11 12 15 13 6 3 6 8 7 7 6 5 5 7 6 6 6 6 7 7 5 4 5 7 8 8 4 0 2 4 4 2 3 3 3 4 4 4 7 9 11 14 15 12 5 1 -2 2 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 7 8 10 11 12 12 13 13 12 11 9 8 7 7 8 8 8 6 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 4 5 5 6 6 6 6 4 3 3 2 2 3 4 4 4 4 4 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 5 5 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 5 5 5 5 5 6 6 5 5 5 5 5 6 8 9 9 9 7 7 6 7 7 6 5 4 3 3 4 5 6 6 6 6 5 6 6 6 6 6 6 5 4 3 3 10 13 11 7 5 5 4 3 4 6 7 8 8 6 5 7 7 6 4 4 3 2 2 3 4 4 3 2 3 3 5 11 12 8 5 4 6 8 6 5 6 4 -2 -2 4 3 3 1 -0 4 9 11 12 13 10 6 4 7 9 6 4 6 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 3 5 7 8 9 11 12 15 20 26 30 28 19 12 9 7 6 6 6 5 5 5 5 6 7 8 8 6 6 6 6 5 5 5 5 5 6 6 5 4 3 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 2 2 2 2 2 2 2 2 1 1 2 2 2 1 1 -0 -1 -2 -3 -4 -4 -4 -0 3 3 2 3 4 6 8 12 16 13 7 7 8 7 8 7 6 6 5 5 4 5 5 6 8 9 7 5 7 10 12 9 3 3 4 3 2 3 3 3 3 4 5 7 9 11 13 15 15 11 11 9 5 8 9 8 7 6 6 7 7 6 6 6 6 6 6 7 8 10 11 13 13 14 15 14 12 11 10 10 9 8 9 10 9 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 5 4 4 5 6 6 7 6 6 6 4 3 2 3 4 4 4 4 5 5 5 5 6 5 5 5 5 5 4 4 4 4 3 3 4 4 5 5 5 5 5 5 6 5 4 4 4 4 3 3 3 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 5 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 7 7 7 7 6 6 5 6 6 6 5 4 4 4 4 5 5 6 6 6 7 8 8 7 6 6 6 6 5 5 6 10 13 12 9 4 2 2 6 11 11 9 7 7 6 6 7 7 7 7 5 4 2 2 3 3 3 3 3 3 3 6 10 10 7 5 5 10 13 10 7 14 14 3 -2 5 -0 -6 -6 -2 4 7 10 12 12 9 5 6 10 9 4 3 6 7 6 6 5 4 4 4 4 4 3 4 4 4 4 5 5 4 4 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 2 2 2 2 2 1 2 2 2 3 4 6 7 7 8 9 10 9 10 13 20 26 25 21 18 14 12 9 9 6 6 6 5 5 7 9 8 6 5 5 3 3 4 5 6 6 7 9 8 4 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 5 5 4 4 4 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 1 0 -0 -2 -3 -5 -8 -9 -6 -2 -1 -1 1 3 4 4 6 11 14 9 6 8 8 8 7 7 7 6 5 4 3 4 6 10 13 12 9 8 8 8 7 5 4 4 4 3 3 3 3 3 4 5 7 9 11 12 12 15 14 11 12 9 7 8 7 7 6 6 6 6 6 6 7 7 7 7 7 8 11 12 13 13 14 14 14 11 10 9 10 10 9 9 10 9 8 9 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 nan nan nan
nan nan nan nan nan nan 6 6 5 5 4 4 5 5 6 7 7 8 7 5 3 3 3 4 5 6 5 5 5 5 6 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 3 4 5 5 5 6 5 5 6 6 6 5 5 5 5 6 6 6 6 5 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 5 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 7 11 12 9 6 5 6 7 7 6 5 8 12 13 8 2 -2 -0 5 10 12 12 9 8 7 6 7 9 6 6 8 7 5 4 3 3 3 2 2 2 4 5 7 7 7 5 5 10 12 11 12 12 17 16 5 -1 9 20 10 -2 -1 6 7 10 12 13 12 13 15 14 8 2 3 6 7 6 5 5 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 2 2 2 1 1 2 2 3 4 5 6 6 7 7 8 8 7 6 7 8 12 16 17 18 19 19 16 14 12 13 13 10 7 6 6 6 7 6 5 4 6 9 10 9 8 10 11 7 3 2 2 3 4 4 5 5 5 5 5 3 3 3 3 3 3 3 2 3 3 3 3 3 2 3 2 0 -1 -2 -1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 0 -1 -2 -3 -6 -10 -9 -7 -6 -5 -2 0 1 1 2 5 9 8 6 8 8 8 8 7 7 7 7 5 5 7 7 8 10 12 9 7 6 5 4 5 5 5 4 3 3 3 4 4 3 4 5 8 11 10 9 11 11 8 7 4 3 6 6 6 6 6 6 5 6 6 7 7 8 7 7 8 9 11 12 12 11 11 10 9 8 9 10 10 9 9 9 9 9 9 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 5 5 5 4 5 5 5 6 6 7 8 7 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 3 3 3 2 3 3 4 5 5 5 6 6 5 6 5 5 5 6 6 6 5 4 4 4 3 4 4 4 5 5 6 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 6 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 11 14 11 6 3 4 7 8 8 11 10 7 3 2 2 -3 -5 4 10 11 10 13 10 6 6 6 8 11 7 4 7 10 8 5 4 4 4 2 1 1 4 5 6 4 4 4 7 13 10 6 11 13 14 12 6 3 14 35 31 12 4 5 8 11 14 14 16 19 18 13 6 2 4 7 7 6 6 5 4 3 4 3 3 3 3 4 4 5 4 5 5 5 4 4 4 3 3 3 4 4 4 4 3 4 4 4 4 3 2 2 1 1 1 2 3 4 4 5 5 6 6 7 7 7 6 6 5 5 5 6 9 11 14 16 17 16 16 19 21 19 18 14 9 8 10 13 14 14 15 19 19 16 13 13 9 5 2 2 2 3 3 3 4 4 5 5 4 4 3 3 3 3 4 4 3 2 1 1 0 0 0 -1 -3 -6 -7 -4 -1 1 1 1 1 1 1 0 0 0 1 1 1 2 2 1 1 1 0 1 2 1 -2 -4 -3 -4 -5 -3 -1 -2 -1 -1 -0 4 6 7 8 7 6 6 7 7 6 6 5 5 7 7 5 5 6 6 6 6 5 5 7 8 7 4 3 3 4 5 5 4 3 4 7 9 10 9 8 8 8 8 4 1 4 6 6 6 7 6 4 4 5 6 7 8 8 6 5 7 8 9 10 9 8 7 8 8 9 9 9 9 9 10 11 9 9 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 5 5 5 5 5 5 6 5 5 5 6 7 7 8 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 2 2 3 3 4 4 5 5 5 6 6 6 6 6 6 7 7 6 5 4 4 4 4 5 5 5 5 6 5 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 6 7 6 5 5 4 4 5 5 5 5 6 6 7 7 7 7 6 5 5 10 9 3 1 2 5 8 9 10 15 14 3 -8 -10 -3 -2 1 10 12 9 8 11 10 5 4 5 7 11 9 3 5 9 10 7 4 3 4 4 2 2 3 4 3 3 3 4 8 9 3 1 6 10 11 9 5 2 9 24 24 14 10 6 8 13 17 17 19 20 16 10 5 3 6 8 7 6 6 4 4 3 3 4 4 3 4 4 4 4 5 5 5 5 5 4 4 3 3 4 4 4 4 4 3 3 4 4 4 4 2 1 2 1 1 2 3 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 7 8 9 11 11 13 17 20 22 23 22 20 18 15 15 19 19 19 19 20 18 16 12 7 4 3 3 3 3 3 3 3 3 3 4 4 3 2 1 2 3 3 3 5 6 4 2 -1 -2 -2 -4 -8 -11 -7 1 6 6 3 1 -0 -0 0 0 -0 0 0 0 1 1 1 1 1 1 0 1 3 4 5 4 3 2 0 0 1 1 1 2 4 5 6 6 8 8 7 8 10 12 9 7 6 4 4 5 5 5 5 5 5 5 5 6 8 10 9 6 3 4 5 6 6 5 4 4 6 8 9 10 8 7 7 9 9 5 3 6 7 7 7 7 5 2 0 3 7 8 8 6 5 4 5 6 7 8 8 7 8 8 9 10 9 8 10 13 14 12 10 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 4 4 5 5 5 6 6 5 5 5 5 6 6 6 5 5 4 4 4 4 5 5 4 5 5 6 6 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 5 5 5 6 6 6 7 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 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 5 5 5 5 6 6 5 5 5 6 7 6 4 3 4 4 5 5 5 5 6 7 7 7 8 8 7 6 5 5 -0 -3 -0 3 6 9 10 12 15 13 4 -6 -8 -1 2 5 9 9 6 7 9 10 4 3 3 6 10 11 4 2 7 10 7 4 3 3 3 3 3 3 3 2 3 4 5 5 3 -1 -0 4 9 10 7 4 2 3 9 12 9 11 10 12 15 17 18 18 17 12 6 3 4 7 8 8 7 6 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 5 4 3 2 2 2 1 1 2 3 4 4 4 5 5 6 5 5 4 5 5 5 5 5 5 6 6 7 7 7 7 8 9 12 15 17 18 18 16 13 11 11 12 12 11 11 11 11 9 6 5 4 4 4 4 4 3 3 3 3 3 2 1 -2 -2 -2 -1 -2 -4 -1 5 8 7 5 2 0 -2 -3 -3 1 6 10 12 6 0 -1 -1 -1 -1 -1 -1 -0 0 0 0 1 1 1 1 -1 -3 -2 -1 1 3 3 2 3 3 5 6 5 6 8 8 6 5 8 10 10 10 13 16 16 12 9 5 5 5 5 5 5 6 5 5 4 6 8 9 9 6 4 4 6 7 6 6 5 4 5 6 8 9 9 7 7 7 8 6 5 6 6 7 8 8 8 6 -0 -0 5 7 8 7 5 3 2 3 5 6 7 8 9 9 10 10 8 7 9 18 24 17 9 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 4 4 4 4 5 4 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 6 6 6 5 4 4 4 3 2 3 3 3 4 4 4 5 5 6 6 6 6 5 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 6 6 6 6 5 6 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 5 6 7 7 6 4 3 3 4 5 5 5 5 5 6 6 7 8 8 8 7 6 4 1 0 3 5 6 8 10 14 16 11 7 2 -1 2 5 9 6 5 2 4 8 10 8 4 1 3 8 10 6 2 4 8 8 6 4 3 2 3 4 4 3 4 4 6 7 4 2 3 7 8 10 8 4 2 4 4 5 7 7 8 11 13 14 15 16 15 12 8 3 1 4 8 8 7 7 5 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 4 5 4 4 3 4 4 4 5 4 4 3 3 2 2 1 2 2 3 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 8 8 8 7 6 4 4 5 5 5 6 7 8 7 6 5 4 4 4 4 4 3 3 2 1 -1 -3 -5 -4 -1 -2 -5 -5 -4 -2 4 8 8 8 6 4 4 8 10 10 11 9 4 -0 -2 -2 -1 -1 -1 -1 -1 -1 -1 -0 1 3 5 4 3 1 -1 -4 -4 2 3 2 3 4 4 5 5 5 7 8 7 6 6 8 9 3 1 9 13 10 8 6 6 5 5 5 5 5 5 5 5 5 7 8 7 6 5 5 7 7 7 6 5 4 4 5 7 8 8 8 7 7 7 7 5 5 6 7 8 10 11 11 8 2 3 6 7 7 5 4 2 2 4 6 7 7 9 10 11 10 8 4 7 20 29 21 9 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 5 5 4 4 4 4 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 4 4 4 4 4 4 5 6 6 7 6 6 6 7 8 7 5 3 2 3 5 5 5 5 5 5 6 6 6 7 8 8 7 6 5 5 5 5 6 8 10 13 14 11 9 6 3 4 10 13 7 5 3 2 8 11 12 8 3 2 5 6 6 3 4 6 7 6 4 3 3 4 4 3 4 3 4 7 9 7 5 8 13 11 8 3 0 0 2 4 6 6 5 7 9 10 12 12 13 12 10 4 -1 1 6 9 9 7 6 5 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 4 5 4 4 3 4 4 5 5 4 4 3 3 2 2 1 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 8 8 7 6 5 5 4 4 4 4 3 2 1 -0 -1 -3 -3 -0 2 1 -1 2 3 -1 -2 2 4 5 6 6 5 8 9 10 9 4 1 -0 -1 -2 -2 -2 -3 -1 0 3 2 1 5 10 11 10 10 11 9 5 3 6 6 6 7 6 3 3 4 3 5 7 7 7 8 9 7 3 -0 2 6 5 6 7 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 6 7 7 6 5 5 5 4 4 4 6 7 8 7 7 7 6 6 5 5 6 7 9 11 12 11 6 3 4 5 6 6 5 3 3 4 5 6 8 9 11 11 9 7 4 7 16 22 20 13 7 7 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 nan
nan nan nan nan 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 3 3 2 2 3 3 3 4 4 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 6 6 6 7 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 7 7 6 7 7 7 7 9 9 6 2 2 3 4 5 5 5 5 5 5 5 6 6 7 7 8 7 6 5 5 5 6 8 10 12 11 10 11 9 6 6 12 16 10 5 8 5 4 9 12 11 5 2 3 4 4 3 4 7 8 6 5 4 3 4 4 3 3 3 5 8 10 12 8 6 8 9 7 3 1 1 1 4 6 6 5 7 9 9 10 11 12 12 8 -1 -5 1 8 10 9 7 6 4 4 3 4 4 5 5 4 4 4 4 4 5 5 5 6 5 5 3 3 4 5 4 3 4 4 4 5 4 4 4 3 2 2 2 2 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 6 6 5 5 5 5 5 5 6 6 6 6 7 8 8 8 7 5 5 5 4 4 3 3 3 2 1 0 0 0 -0 1 1 -1 -3 1 5 2 -2 -3 -2 -0 2 3 3 3 3 5 5 2 1 0 -1 -1 0 1 0 1 4 10 9 5 6 12 15 14 13 15 15 12 9 8 8 8 7 7 5 5 5 5 5 8 9 8 7 10 10 11 8 3 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 5 5 5 5 4 4 4 6 7 6 5 5 5 6 5 5 5 5 7 9 12 11 8 5 3 3 4 5 5 5 4 4 5 7 9 10 11 10 8 6 5 7 11 14 15 13 9 8 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 5 5 5 4 4 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 5 6 5 6 6 6 6 6 6 5 5 4 3 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 7 7 6 6 6 5 5 5 4 5 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 6 7 7 7 8 7 7 8 10 10 6 2 2 3 4 4 5 6 5 5 4 4 5 6 6 7 7 7 7 6 5 5 6 7 11 12 9 8 11 12 7 5 14 20 13 2 6 6 2 5 10 11 6 3 3 2 4 4 5 9 9 7 5 3 3 3 4 4 3 4 7 8 9 11 9 5 5 7 7 5 3 3 4 6 6 6 6 7 9 9 10 13 12 9 3 -5 -5 4 10 11 10 7 6 4 4 4 4 4 5 5 4 4 4 4 4 5 5 6 6 5 4 3 3 3 4 4 4 4 4 5 4 4 4 3 3 2 2 2 3 3 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 6 6 6 7 8 8 9 9 8 6 5 4 4 4 3 3 3 3 3 2 2 2 0 -2 -4 -5 -5 -7 -2 1 -0 -2 -2 -2 -0 1 3 5 2 1 2 1 1 1 1 -1 0 6 9 9 6 6 8 10 10 8 9 11 11 11 12 13 12 8 5 6 6 5 6 7 9 9 7 8 10 12 9 4 4 7 7 4 3 4 4 5 5 6 6 5 5 6 5 5 5 5 5 4 4 5 5 5 6 7 7 6 5 5 5 5 5 4 4 5 7 8 5 0 3 6 5 5 4 4 5 7 9 10 9 7 5 4 4 4 5 5 4 3 4 6 8 10 12 10 8 5 4 6 10 10 8 10 11 10 10 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 7 8 7 8 8 8 8 8 6 5 3 2 2 2 2 2 3 3 3 3 3 3 4 3 3 3 2 2 2 3 3 3 2 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 5 4 3 3 3 2 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 7 7 7 8 8 8 8 9 10 8 5 3 3 3 4 5 5 5 6 5 5 5 4 5 6 7 7 7 7 6 5 5 6 8 11 14 11 9 10 10 5 3 14 25 16 2 5 6 2 2 7 11 8 5 4 2 4 4 5 8 10 8 4 2 3 2 2 3 4 5 7 7 7 8 7 6 6 7 7 6 5 3 5 8 7 7 6 9 11 10 12 13 11 9 3 -7 -6 6 12 12 10 7 6 4 3 3 4 5 5 4 4 4 4 4 4 5 5 6 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 3 3 4 4 3 4 4 4 4 4 4 5 4 4 5 5 6 6 6 6 6 6 6 5 6 7 7 7 7 7 6 6 4 4 4 4 3 3 4 4 4 2 1 -1 -3 -5 -4 -3 1 8 11 7 1 -0 1 1 1 4 7 10 8 5 3 2 2 2 1 -3 -3 7 14 14 10 8 7 7 8 8 7 6 6 8 9 9 10 9 6 5 6 5 7 9 12 13 12 10 9 8 8 6 3 3 3 3 3 4 4 4 5 5 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 6 9 11 3 1 5 5 5 5 4 4 5 6 8 9 9 7 6 5 5 5 5 3 2 3 4 6 8 11 12 10 6 3 4 7 7 5 6 8 9 11 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 9 9 9 10 10 11 12 12 12 10 7 5 4 4 3 3 4 4 5 4 5 5 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 4 4 4 5 5 6 6 6 5 5 5 4 3 2 2 2 1 1 1 1 2 2 2 2 2 2 2 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 4 4 4 4 5 5 6 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 6 7 7 8 9 10 10 9 8 9 8 6 5 4 4 5 5 6 6 6 6 6 6 5 5 6 7 7 7 7 7 6 5 6 9 12 15 14 13 11 10 6 0 10 22 13 3 7 7 3 -1 4 8 9 8 7 5 4 3 3 4 11 10 4 2 2 1 1 2 3 5 6 6 7 6 6 5 5 5 8 10 8 4 5 9 10 8 8 12 12 10 10 11 12 10 3 -8 -8 5 12 12 11 8 5 4 3 4 5 5 5 5 5 4 5 4 5 4 5 5 6 5 5 3 2 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 6 6 6 6 7 6 6 5 5 4 4 4 4 4 4 3 1 0 -0 -1 -1 0 3 6 11 20 24 23 20 9 3 3 2 4 7 10 12 13 11 7 3 4 4 -3 -7 2 13 14 10 8 8 8 6 6 6 6 4 5 7 7 8 9 8 5 6 8 9 10 12 12 10 6 4 3 5 6 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 5 4 4 5 5 5 5 6 10 9 4 4 5 5 5 5 4 4 5 6 7 8 7 7 6 6 5 5 4 3 2 3 4 5 9 13 12 7 3 1 4 6 4 2 5 7 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 7 7 8 8 8 9 10 12 14 13 11 10 8 7 7 6 6 6 6 6 6 6 5 6 5 4 4 4 3 4 4 4 4 3 2 3 3 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 4 3 3 2 2 1 1 1 1 0 1 2 1 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 5 6 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 5 6 5 5 6 6 6 9 11 11 10 8 7 7 7 7 5 5 5 5 6 6 7 7 7 7 7 6 5 6 7 8 8 8 7 6 6 8 12 14 13 16 15 11 11 8 1 3 10 4 2 9 11 5 1 1 5 7 9 9 8 5 3 2 4 8 10 6 3 1 1 1 2 4 6 6 7 8 7 3 1 2 5 9 13 12 8 7 10 10 9 12 13 10 7 8 10 11 8 -2 -10 -6 5 11 13 12 9 5 3 3 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 3 2 3 4 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 3 2 1 1 2 3 5 6 8 9 10 14 18 23 31 29 18 14 11 7 5 7 11 16 20 18 13 14 14 8 2 5 11 12 9 7 8 9 8 7 7 7 6 5 6 7 7 6 4 3 5 6 8 9 11 9 5 3 2 2 3 3 5 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 1 3 6 5 5 5 6 6 6 5 5 5 5 5 4 4 4 5 6 7 7 7 7 6 6 5 6 4 4 3 3 4 6 11 13 10 6 3 6 9 7 4 5 5 5 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 4 4 4 4 4 5 7 8 10 11 11 10 9 9 8 8 7 7 6 6 6 6 6 6 5 4 5 4 4 5 5 5 4 5 4 4 4 3 2 2 2 2 2 3 3 3 4 4 4 5 5 5 5 4 3 3 2 2 1 0 0 1 1 1 2 1 1 2 2 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 6 6 6 6 6 7 10 15 16 14 8 5 4 6 6 6 6 5 5 5 5 6 7 7 8 8 7 7 6 6 7 8 8 8 7 7 7 11 15 14 11 14 14 8 7 8 2 1 3 -0 -0 8 13 8 4 3 5 5 6 8 9 7 4 3 4 5 8 7 4 1 1 2 3 5 7 7 8 8 6 4 4 5 6 7 9 9 7 6 8 9 11 13 11 7 6 8 9 10 6 -4 -9 -3 5 10 13 12 9 6 3 3 4 6 6 5 5 5 5 5 4 4 4 5 5 5 5 4 3 3 4 5 6 5 4 4 3 3 3 3 3 3 3 4 4 5 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 4 4 5 5 6 5 5 6 6 6 6 6 6 6 6 6 7 6 6 6 5 5 5 4 3 2 2 4 6 7 7 7 6 6 6 6 8 12 20 30 30 29 28 22 14 10 11 15 23 27 25 24 23 16 10 9 10 10 9 7 7 8 8 8 7 8 8 7 7 8 8 6 5 4 2 2 5 9 11 9 6 4 3 2 2 3 5 8 8 7 5 5 6 6 7 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 7 10 6 3 6 6 6 5 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 7 8 7 6 6 7 7 7 6 6 6 5 7 10 11 10 9 10 11 12 12 11 8 7 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 1 1 1 2 2 2 2 2 3 4 5 6 7 7 7 7 7 7 6 6 6 5 5 6 5 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 4 3 3 2 2 2 3 2 3 3 3 4 4 5 5 5 4 4 4 5 3 1 1 1 1 2 2 2 2 2 2 2 3 3 3 4 3 3 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 6 6 5 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 13 27 34 27 14 1 -1 3 5 5 5 5 4 4 5 5 5 6 7 8 8 8 7 7 6 7 8 9 9 7 7 11 15 15 11 10 13 13 4 2 4 3 5 6 4 2 8 13 9 5 5 8 7 4 5 8 8 4 2 2 2 4 8 5 2 2 3 5 6 7 6 6 5 3 5 11 11 6 1 -0 1 1 2 4 5 10 11 8 5 6 7 8 8 4 -3 -6 -5 1 9 12 13 10 6 4 4 5 6 6 5 4 5 5 4 4 4 4 4 5 5 5 4 4 4 5 6 6 5 4 4 4 4 3 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 3 3 3 4 3 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 6 7 7 7 7 7 6 5 5 4 3 3 5 6 6 7 7 5 5 5 5 5 5 5 7 12 18 24 30 31 28 22 18 18 22 27 24 18 16 13 8 9 10 10 9 8 7 7 7 6 7 7 9 12 11 11 12 11 8 5 2 1 4 8 10 8 7 5 4 3 2 4 5 7 8 8 7 6 6 6 6 6 5 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 9 6 6 6 6 6 5 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 7 8 7 7 8 10 10 10 9 8 7 6 7 8 10 11 10 10 11 13 14 14 13 11 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 2 2 2 2 2 2 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 5 5 4 3 3 3 2 2 2 3 3 3 4 4 5 4 4 5 7 7 5 2 1 2 2 3 3 3 2 2 2 2 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 9 22 43 48 31 7 -8 -6 2 4 5 4 4 4 4 4 4 5 6 6 7 7 8 7 7 7 7 8 9 9 8 11 15 16 12 7 7 12 16 6 -0 2 6 8 9 5 4 10 13 9 5 5 8 10 6 4 5 8 6 2 0 0 2 5 5 3 2 4 7 7 6 4 3 3 1 3 8 9 2 -6 -8 -6 -5 1 0 -2 4 8 6 4 4 3 4 5 2 -2 -3 -6 -2 8 11 12 10 7 4 4 5 6 6 5 5 4 4 4 4 4 4 4 5 5 5 4 5 5 6 6 5 5 4 4 3 3 3 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 6 7 7 7 7 7 7 6 6 5 4 4 5 5 5 6 5 5 5 5 5 5 6 6 6 5 4 5 9 15 22 26 25 23 23 24 26 26 18 10 10 9 9 10 12 14 13 11 11 11 9 10 9 10 13 15 14 12 9 6 3 1 0 2 5 7 7 6 6 4 3 3 4 5 6 7 8 8 6 5 6 6 5 4 3 2 2 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 4 4 4 4 4 5 5 7 7 8 9 9 11 10 10 10 10 7 6 6 6 8 8 9 10 9 10 12 14 13 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 2 2 2 2 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 6 6 7 7 6 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 6 5 4 3 3 2 2 2 2 2 3 3 4 4 5 7 9 7 5 3 2 2 2 3 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 8 11 22 40 42 21 -8 -19 -9 1 4 4 4 4 4 4 4 4 4 5 6 6 6 7 7 7 7 8 8 9 10 12 15 15 13 10 7 5 9 15 10 2 4 10 9 7 4 4 10 10 6 5 4 6 9 8 5 5 7 8 5 1 0 2 2 3 3 2 4 7 8 5 3 4 4 3 2 3 6 0 -10 -9 -9 -10 -2 -1 -2 6 9 6 3 -2 -4 -1 2 3 2 2 -3 -2 7 11 12 10 7 5 4 6 6 6 5 5 4 5 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 5 4 6 8 13 16 17 18 19 20 26 28 22 15 14 12 13 15 16 18 18 17 18 18 16 14 10 9 11 10 8 6 4 2 1 0 1 2 4 5 6 6 4 3 4 5 5 4 5 7 8 6 5 5 5 5 4 3 2 2 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 7 7 9 10 10 10 11 10 8 6 6 6 6 6 7 8 10 11 13 11 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 5 6 6 6 7 6 7 7 9 10 11 11 10 9 9 8 6 5 4 4 3 3 2 2 2 3 3 3 3 5 7 8 7 5 3 1 2 3 4 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 4 3 3 3 3 4 5 5 5 5 5 5 6 6 6 6 7 8 10 15 27 26 9 -13 -24 -13 1 4 4 4 3 3 3 4 4 4 5 5 5 6 6 7 7 7 8 9 10 12 16 16 13 10 10 10 6 4 11 12 4 5 12 12 9 6 5 7 7 4 4 4 6 8 9 7 4 5 7 6 3 1 1 2 3 2 2 4 7 9 6 5 6 6 4 1 2 5 2 -7 -5 -5 -6 2 5 6 13 13 6 1 -6 -6 -2 5 10 7 0 -2 2 7 10 11 10 8 5 4 5 7 7 6 4 4 5 5 5 4 4 4 5 5 5 5 6 6 6 5 5 4 4 4 3 3 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 3 3 4 4 3 3 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 8 8 9 9 9 8 8 7 6 6 5 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 7 8 9 9 10 14 20 23 19 17 16 15 13 11 13 14 12 13 13 12 12 8 6 6 7 6 5 4 2 1 0 1 2 3 4 5 5 4 3 3 6 6 5 4 5 6 5 4 4 5 5 5 4 3 3 4 5 5 4 4 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 7 7 7 7 7 7 6 6 7 6 5 5 5 5 5 4 5 5 5 6 6 7 8 10 11 11 10 9 7 5 4 4 5 6 10 16 19 18 15 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 5 5 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 4 5 5 4 4 3 3 2 2 3 4 4 4 4 5 5 6 8 12 13 11 9 9 9 8 8 7 8 7 7 6 5 4 3 3 3 3 3 2 4 6 7 5 3 1 1 3 3 4 4 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 5 5 6 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 8 10 12 12 12 4 -0 -6 -16 -11 1 4 4 3 3 4 3 4 4 4 4 5 5 5 6 6 7 7 8 10 13 16 15 13 10 9 11 13 8 4 10 13 4 2 7 12 13 10 7 6 5 6 5 5 6 8 9 7 5 4 4 6 5 2 1 2 3 3 4 5 7 9 9 8 5 4 4 0 3 5 2 -1 0 3 7 14 17 18 17 14 7 1 -6 -5 2 12 16 8 -0 -2 2 6 9 10 10 7 5 5 6 7 7 6 5 5 5 5 5 4 4 4 5 5 5 5 6 6 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 8 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 7 8 10 10 11 9 7 6 6 5 5 5 5 6 7 6 6 6 6 6 5 4 2 2 2 2 4 4 5 5 5 3 2 3 4 5 5 5 5 4 3 3 3 5 6 6 4 4 4 5 7 7 5 4 4 3 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 4 4 5 5 5 6 7 9 9 9 9 9 7 5 5 5 6 9 17 27 30 21 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 6 6 6 5 5 5 4 4 3 3 3 3 2 2 2 2 2 2 2 3 4 5 5 4 3 3 2 2 2 2 2 2 2 3 3 3 4 6 10 12 9 7 7 7 7 9 10 11 12 12 11 9 8 7 7 6 6 4 3 3 4 5 5 3 1 1 2 2 3 4 4 4 3 3 3 3 4 3 3 3 4 3 3 3 4 4 3 3 3 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 5 4 4 3 3 3 3 4 4 4 4 4 5 5 5 6 7 7 7 11 16 15 11 1 -12 -11 -3 -5 -3 2 3 3 3 3 3 3 4 4 5 5 5 5 5 5 6 6 7 9 14 18 18 14 11 8 6 11 13 6 4 11 15 6 3 2 7 14 12 6 4 3 4 5 5 5 6 8 9 8 4 3 3 5 3 2 3 3 4 5 6 7 8 11 9 2 3 6 -1 3 4 1 4 3 6 12 15 18 19 18 17 10 2 -4 -2 9 17 16 7 1 -1 1 6 9 10 9 7 6 5 6 6 6 5 5 5 6 5 5 4 4 4 5 5 5 6 5 5 4 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 6 6 6 6 5 4 5 5 5 5 6 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 6 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 4 2 2 2 4 5 5 5 4 4 5 5 4 5 5 6 6 6 5 6 6 5 3 2 2 4 5 6 6 6 6 5 3 1 0 2 3 4 5 5 4 2 2 3 5 6 7 6 4 3 4 7 7 6 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 6 5 6 6 5 5 5 5 5 5 6 6 6 6 6 7 9 8 7 6 6 6 7 12 23 29 23 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 7 7 7 7 6 6 6 7 6 6 5 5 4 4 4 4 3 3 3 3 2 2 3 3 4 4 5 4 3 3 2 2 2 2 2 2 2 2 2 2 4 7 9 7 6 5 5 6 8 9 11 14 15 14 13 11 10 10 10 9 8 7 6 5 6 6 5 3 2 1 2 3 4 5 5 4 3 3 3 4 3 3 3 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 6 6 7 10 18 23 16 8 -0 -13 -15 -5 0 2 3 3 2 3 3 3 3 4 4 5 5 5 5 5 5 6 6 7 10 15 18 16 13 11 8 4 8 15 9 0 7 12 8 4 2 3 12 15 6 1 1 1 4 5 4 3 6 11 14 10 5 3 4 4 3 3 4 5 6 7 6 6 9 7 2 9 10 0 2 2 1 5 3 3 5 6 8 13 20 23 14 2 -3 3 15 19 13 6 3 1 0 4 9 9 8 7 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 5 6 7 6 6 6 6 5 5 5 6 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 4 4 3 3 3 2 2 3 3 2 3 3 2 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 5 4 3 3 3 3 4 5 5 5 5 5 5 5 5 6 6 5 5 5 4 5 4 3 2 3 5 6 6 6 6 7 6 5 2 -0 -1 -0 1 3 4 4 3 2 2 3 5 8 8 5 3 3 5 5 5 6 6 6 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 5 6 6 7 7 8 7 7 7 6 8 12 15 16 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 6 6 6 7 6 7 6 6 6 6 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 4 6 7 6 5 5 5 6 6 7 9 12 13 12 11 10 10 9 9 9 9 9 9 9 9 9 8 5 3 2 3 3 5 5 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 7 7 11 19 27 25 15 12 11 -5 -13 -4 2 3 2 2 3 3 3 3 3 3 5 5 6 6 5 5 5 6 6 7 10 12 12 10 10 13 13 7 1 5 9 4 4 6 5 4 2 -0 6 14 10 -0 -2 -0 4 6 5 3 3 10 18 17 10 4 3 3 4 4 4 5 7 7 6 6 6 3 6 15 12 4 1 0 3 4 5 7 5 3 5 14 26 27 14 2 -1 7 18 17 9 5 6 3 0 4 8 8 7 7 6 6 6 6 6 5 5 5 5 6 5 4 4 4 4 5 5 6 6 5 5 5 4 3 3 4 4 4 4 4 5 4 4 4 4 4 3 3 3 2 3 3 3 3 2 2 3 3 3 3 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 5 5 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 3 3 2 2 2 2 2 1 2 3 3 4 4 4 4 5 5 5 5 6 5 4 4 3 3 4 5 5 5 5 5 6 6 6 6 6 5 4 4 3 4 3 2 2 2 4 6 5 5 5 6 7 7 6 3 0 -1 -2 -2 -2 2 4 3 2 2 4 8 10 8 4 2 3 4 4 5 6 6 6 6 5 5 4 4 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 7 7 7 7 7 6 7 8 9 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 5 5 5 5 5 5 6 6 6 6 6 5 5 7 8 8 7 6 5 5 5 5 4 4 4 4 4 4 3 2 1 2 3 3 3 2 2 2 2 2 4 6 6 5 4 4 4 3 3 4 5 7 8 7 7 7 7 7 7 8 10 11 12 14 15 15 12 8 5 4 4 5 5 5 4 3 3 4 4 4 4 3 4 4 4 3 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 5 5 5 4 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 3 4 5 5 6 6 7 9 12 21 28 25 19 16 14 11 -4 -11 -2 2 2 2 3 3 3 3 3 3 4 4 5 6 6 5 5 5 5 7 10 10 8 6 6 6 9 12 11 3 -4 0 5 5 5 4 4 4 0 1 8 14 6 -1 -2 1 5 7 6 2 4 12 15 11 5 3 3 4 4 4 4 5 6 6 7 5 2 6 10 8 7 3 0 5 6 13 20 14 7 10 23 32 25 10 2 3 13 19 13 6 5 7 3 -0 3 7 7 7 7 7 6 6 7 6 5 5 5 6 6 5 5 4 4 4 5 5 6 7 7 5 5 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 3 3 2 3 2 2 2 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 2 3 3 3 3 2 2 2 2 2 2 2 3 4 4 4 4 4 4 5 5 5 6 5 4 3 3 3 4 4 5 5 5 6 6 6 7 7 6 5 4 3 3 3 3 3 4 5 4 4 4 4 4 5 6 8 9 8 5 1 1 -2 -7 -2 4 3 1 1 3 8 12 10 5 3 3 4 4 4 4 5 6 6 6 7 6 5 4 6 7 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 6 6 6 6 6 5 5 6 5 5 5 6 6 6 6 7 7 6 7 7 8 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 4 4 4 4 3 4 4 4 4 4 4 5 7 10 10 9 7 6 6 7 6 6 5 5 4 5 4 4 3 2 3 4 4 4 4 3 3 2 2 2 4 4 4 4 3 2 2 2 2 2 3 4 4 4 4 4 4 4 5 7 8 10 14 17 18 17 13 10 7 6 5 6 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 3 4 4 4 3 3 4 5 7 8 8 9 12 15 21 29 27 15 14 21 4 -10 -7 -4 0 2 2 3 3 3 3 4 4 4 4 5 5 6 6 6 5 5 7 14 16 12 9 7 6 5 5 5 7 10 9 5 3 4 7 7 7 7 4 1 3 12 13 4 -0 -1 4 7 8 4 1 3 6 6 6 7 7 5 3 2 3 4 6 6 6 4 4 6 5 3 6 4 2 5 7 16 23 19 16 23 31 31 19 6 3 8 17 17 9 5 6 6 2 1 4 7 7 7 7 7 7 7 7 6 5 5 6 6 6 5 4 4 4 4 5 5 5 6 7 7 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 7 6 5 5 4 5 5 5 5 5 6 5 4 3 3 3 2 2 2 2 3 3 3 4 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 6 5 4 4 3 3 3 4 4 4 5 5 6 6 8 7 6 5 4 3 4 4 4 6 9 11 9 5 3 3 4 5 5 7 9 10 9 6 4 1 -3 -2 3 3 1 2 4 10 14 12 7 4 4 5 4 3 3 2 5 7 8 9 9 8 3 3 7 8 8 7 7 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 6 5 6 5 5 5 5 5 6 6 7 8 7 7 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 3 3 3 3 2 2 3 3 3 3 2 3 6 9 10 8 6 5 5 6 6 7 6 6 6 5 5 4 4 4 5 6 6 6 6 6 5 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 4 5 8 11 13 14 14 13 11 8 6 6 6 5 3 2 2 2 3 4 4 4 4 4 4 4 4 5 5 5 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 4 3 3 4 4 4 3 5 9 11 13 15 18 20 21 25 26 15 6 14 21 -2 -16 -4 0 1 2 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 11 17 18 16 13 9 8 9 6 5 5 6 9 10 8 6 6 7 9 10 8 3 2 8 13 9 4 2 3 6 8 6 4 4 3 1 4 9 12 8 4 2 3 4 5 5 4 4 6 6 4 3 6 6 4 3 3 9 16 18 23 30 31 22 12 5 6 13 17 12 6 5 7 6 3 2 5 6 7 6 6 7 6 7 7 6 6 5 6 6 5 5 4 3 3 4 5 5 5 6 7 7 6 5 5 5 4 5 5 4 4 5 5 5 5 5 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 4 3 4 4 5 5 6 7 8 7 6 5 5 5 5 5 5 5 5 5 4 3 3 3 2 2 3 3 4 4 4 3 4 4 3 3 3 3 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 4 4 3 3 3 3 3 3 4 5 5 7 8 7 6 5 4 4 4 5 6 9 13 16 16 11 4 1 2 3 4 5 7 8 10 10 7 2 -1 -0 3 3 2 2 6 12 16 13 7 4 5 6 6 6 5 0 1 7 8 9 10 11 8 4 6 8 7 7 7 7 6 6 6 6 5 5 5 5 5 5 6 5 5 6 6 5 5 6 6 5 6 6 6 5 5 5 6 6 7 7 6 6 5 5 5 5 5 5 5 5 6 7 7 6 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 3 3 3 3 3 2 3 3 3 3 2 3 4 7 7 6 5 5 4 5 6 7 7 7 7 5 5 5 5 6 6 7 7 6 7 8 7 6 4 3 3 3 3 2 2 3 4 4 4 4 3 2 2 2 2 2 1 2 2 2 2 2 3 4 5 7 9 11 13 12 10 8 7 6 4 3 3 2 3 3 4 5 5 5 5 4 4 5 5 4 4 4 5 4 5 5 4 3 3 3 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 3 3 3 3 4 4 4 9 15 18 20 22 23 23 22 24 17 5 5 16 14 1 -4 -1 1 2 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 7 9 12 13 16 18 15 9 6 11 8 8 10 7 3 5 7 7 7 6 9 13 12 7 3 3 7 9 7 5 3 4 5 6 8 8 5 1 -1 7 11 9 4 3 4 5 5 4 3 4 7 7 5 4 5 7 6 -0 -5 -2 6 13 23 27 23 14 7 5 9 14 13 7 4 6 7 5 2 2 5 6 6 6 6 6 7 7 7 7 6 6 6 6 5 4 4 3 3 5 6 6 5 6 7 7 6 6 5 5 4 5 5 5 4 5 5 5 5 5 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 4 4 5 6 7 8 8 6 6 5 5 5 5 5 5 5 5 4 4 3 3 4 3 4 4 4 4 3 3 4 4 4 3 3 4 4 4 4 4 5 6 7 7 8 8 8 7 6 6 6 5 5 5 6 6 5 5 4 3 2 2 2 3 3 3 4 5 6 7 7 7 6 4 4 3 4 4 5 8 12 16 17 14 9 5 3 1 1 2 4 5 6 7 9 6 1 1 3 3 2 4 9 16 19 13 6 5 5 6 7 8 10 6 2 7 8 7 7 10 11 7 5 6 7 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 6 6 5 6 6 6 6 5 5 5 5 6 7 6 6 6 5 5 5 5 5 4 4 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 1 1 3 4 4 4 3 3 4 4 4 4 3 3 4 4 4 3 3 4 4 6 6 7 8 7 6 5 5 5 6 7 7 6 6 7 8 9 8 6 5 4 4 3 2 2 3 4 5 4 4 4 3 3 2 1 1 1 2 2 2 2 1 1 1 2 2 4 7 11 13 12 9 8 7 6 5 4 4 4 4 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 5 4 4 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 2 3 3 4 4 5 14 21 21 21 21 18 16 18 18 10 2 7 13 7 1 1 1 2 2 3 3 4 4 4 5 5 5 6 6 6 6 6 9 12 13 11 9 7 6 8 11 8 5 9 9 8 10 11 7 4 5 7 7 6 8 11 12 10 6 2 2 4 6 7 5 4 2 5 9 10 10 5 -1 3 7 7 5 5 7 7 5 4 5 6 7 8 7 3 4 6 8 2 -6 -6 2 9 18 21 15 8 4 5 8 10 8 5 4 6 8 6 3 2 5 7 6 5 6 6 7 7 7 7 6 6 6 6 6 5 3 3 4 5 6 6 6 6 7 7 6 6 5 5 4 5 5 4 4 5 5 4 5 4 4 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 5 6 7 7 7 6 6 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 4 4 5 6 7 7 8 8 8 7 6 6 6 6 6 6 6 6 5 4 4 2 1 1 2 2 2 3 4 5 5 6 7 6 6 4 3 2 3 4 5 6 8 11 12 12 11 9 7 4 1 0 1 1 1 1 2 7 6 4 3 3 3 7 14 21 20 12 6 5 6 5 5 6 10 13 8 7 7 6 5 6 7 6 5 5 5 5 5 5 5 5 5 6 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 5 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 1 0 1 3 5 5 4 4 4 5 6 6 6 5 4 3 2 2 3 3 4 4 5 6 7 8 8 6 5 5 5 6 6 6 5 5 6 8 9 9 8 7 6 5 4 4 4 5 5 5 5 4 4 4 3 3 2 1 1 1 1 1 1 2 1 2 1 1 2 4 8 11 11 10 9 7 7 6 7 7 6 6 5 4 5 6 6 5 4 4 4 5 4 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 5 4 3 3 3 3 3 3 4 8 16 20 18 15 13 10 11 13 11 3 0 5 6 3 2 2 2 3 3 4 4 4 4 5 5 5 6 6 7 7 8 11 16 22 23 16 7 2 0 2 6 6 5 4 5 5 5 8 9 8 6 6 6 7 7 7 9 10 9 4 1 0 4 5 6 3 3 7 11 12 14 11 5 4 7 6 6 7 8 8 7 8 10 9 8 8 7 4 3 5 8 11 7 1 8 13 17 15 8 3 1 3 4 5 6 5 5 7 9 6 2 1 4 7 6 6 6 6 7 7 7 7 6 6 6 6 5 4 3 3 4 5 6 7 6 6 7 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 2 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 5 5 6 5 5 6 6 6 6 6 6 6 5 4 4 4 4 4 5 5 4 4 4 4 5 5 4 3 3 3 3 3 3 4 4 5 5 5 6 7 7 7 6 6 6 6 6 5 5 5 5 4 4 3 1 -0 0 1 2 3 3 4 5 5 5 5 6 5 4 3 2 3 3 4 5 6 7 8 8 8 10 10 10 7 5 2 0 2 2 -1 -0 4 5 4 3 4 9 18 22 17 9 7 6 6 5 5 5 7 9 8 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 4 4 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 1 1 2 4 4 4 3 4 6 8 8 6 5 4 3 2 2 2 3 4 4 4 5 7 8 7 5 4 4 5 6 6 5 3 4 4 5 8 9 9 9 8 6 6 5 6 6 6 6 5 5 5 4 5 5 3 3 2 1 1 1 1 2 2 2 2 2 1 3 5 6 7 8 9 8 7 7 9 11 11 8 5 4 4 5 6 6 4 4 4 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 4 6 13 18 18 14 10 7 8 10 10 1 -9 -7 0 3 2 3 3 3 4 4 4 4 4 5 5 5 6 7 7 7 8 11 15 18 21 22 16 9 5 4 4 5 6 5 3 2 3 2 4 9 9 9 7 6 7 5 3 4 6 7 5 3 3 2 3 4 4 9 14 12 12 15 14 9 6 7 5 4 6 8 10 9 10 13 11 7 8 7 6 5 5 9 18 20 14 16 19 18 12 3 -4 -0 3 2 5 9 8 6 9 9 4 -1 1 4 7 7 6 6 6 6 7 6 6 6 7 6 6 5 4 3 3 4 5 7 7 7 7 6 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 4 4 3 3 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 5 4 4 4 4 5 5 4 4 4 4 5 5 5 4 3 3 3 3 2 3 3 4 4 5 6 6 6 6 6 6 5 6 6 6 5 5 5 4 4 3 2 0 -1 0 2 3 3 4 4 4 5 5 5 4 4 4 3 3 3 3 4 4 5 5 6 6 7 8 9 11 12 12 10 7 6 5 2 -1 2 4 4 3 5 11 19 18 12 8 7 7 6 5 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 7 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 6 5 6 6 7 7 7 7 6 6 5 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 6 5 3 2 2 2 2 2 3 5 8 10 8 6 5 3 3 2 2 3 4 5 4 4 5 6 6 4 3 3 4 5 5 4 3 3 3 3 4 6 8 10 10 9 8 7 7 7 7 6 5 5 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 3 2 2 2 2 3 3 5 7 6 5 6 8 12 13 10 7 4 3 4 6 6 5 5 4 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 4 4 4 6 12 18 20 16 12 9 7 7 10 12 -5 -20 -16 -3 2 3 2 3 4 4 4 4 5 5 5 5 6 6 7 7 7 9 12 14 15 13 11 10 8 7 7 7 8 9 9 5 4 5 5 4 6 7 12 11 8 8 5 3 2 3 5 5 6 7 4 3 3 7 16 18 11 8 10 11 8 5 5 3 2 4 8 9 5 2 4 8 6 5 5 8 7 5 5 11 18 19 20 22 17 7 -3 -6 1 5 6 10 13 10 8 10 8 4 1 1 4 6 6 6 6 6 6 6 6 6 6 6 7 6 4 4 3 4 5 6 7 7 7 6 6 7 6 5 5 5 5 4 4 5 5 4 3 4 5 5 5 4 4 4 3 3 3 3 3 2 3 4 4 3 3 4 4 4 4 3 3 3 3 3 4 4 5 6 6 6 6 6 5 6 6 5 5 4 4 4 4 4 5 5 4 4 5 5 4 4 4 3 3 3 3 2 2 3 4 4 5 5 5 5 5 5 6 5 5 6 6 6 5 4 4 3 2 1 0 0 2 3 3 3 4 4 5 5 5 5 4 4 3 4 3 4 4 5 4 5 5 6 6 7 8 9 10 11 14 16 13 8 7 6 4 3 4 3 3 7 12 14 12 9 8 7 6 6 6 5 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 7 7 7 7 7 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 8 7 6 4 3 2 1 2 3 6 10 9 6 4 4 4 3 1 2 5 5 5 5 5 5 5 4 2 2 3 5 6 5 3 2 3 4 4 3 4 6 8 9 9 9 9 8 7 6 5 5 5 5 5 6 6 7 7 7 7 8 7 7 5 4 3 3 3 3 2 2 2 2 1 3 4 5 5 4 5 9 11 11 8 5 4 4 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 3 3 4 4 5 4 3 3 4 4 4 3 2 3 4 4 5 8 13 15 14 12 10 9 9 8 10 13 1 -18 -14 -2 2 2 2 3 3 4 5 5 5 5 5 5 6 6 6 7 8 10 11 10 10 9 8 8 8 8 7 6 8 12 15 10 3 3 6 7 7 10 11 10 9 9 7 6 5 4 7 8 8 8 8 8 7 10 15 14 8 3 3 5 7 5 3 3 2 4 7 6 2 -1 2 7 7 3 3 6 7 2 -6 -4 9 19 24 24 14 4 -6 -4 6 11 12 14 14 10 9 10 8 5 3 2 3 6 6 6 6 5 5 5 6 7 6 6 7 6 5 4 3 4 5 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 6 6 6 6 6 5 5 6 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 4 3 3 2 2 1 2 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 5 6 5 5 5 5 6 6 7 8 8 9 10 12 15 16 10 6 8 6 4 4 3 4 8 10 9 8 7 7 7 6 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 6 5 3 2 3 6 9 10 8 4 3 5 6 5 3 5 8 8 7 6 6 6 5 3 2 2 4 6 7 4 2 2 5 7 6 4 3 4 6 7 8 8 7 6 5 4 4 4 4 4 5 5 6 7 8 9 10 12 11 10 7 4 2 2 2 3 3 3 3 2 2 1 2 3 3 3 3 5 7 9 9 8 7 5 5 5 5 5 5 6 5 5 5 4 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 2 3 4 4 4 4 5 8 9 8 8 8 9 9 9 10 15 11 -6 -6 -0 2 1 2 2 4 4 4 5 5 5 5 4 5 6 7 8 10 10 9 7 8 8 11 12 10 8 7 4 4 9 15 13 5 1 3 6 7 9 7 3 4 9 12 9 7 6 9 12 9 7 12 16 15 11 9 8 6 3 2 3 6 5 4 4 4 5 6 5 4 6 9 11 9 5 4 5 4 -2 -8 -6 7 21 26 22 12 2 -7 -2 12 17 16 15 12 10 9 9 8 6 3 1 2 4 6 7 6 5 5 5 6 6 6 6 7 6 5 4 3 4 5 6 7 7 6 7 6 6 6 5 5 5 5 4 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 4 3 3 3 3 2 2 3 5 7 7 7 7 6 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 4 4 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 4 4 3 3 2 2 3 3 3 3 4 4 4 3 3 2 2 3 3 4 5 6 6 6 6 6 6 5 6 6 6 7 8 9 9 10 13 15 10 6 7 6 4 3 3 5 7 8 6 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 4 5 5 5 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 10 8 6 5 6 8 10 11 10 7 4 4 5 6 7 8 10 12 11 9 7 8 8 6 3 2 3 5 7 7 4 1 2 5 8 7 5 3 3 5 6 6 6 5 4 3 3 3 4 4 4 4 4 5 5 7 9 12 13 11 9 6 4 2 2 2 3 4 4 4 4 3 2 2 2 2 2 2 3 4 6 8 9 9 8 7 6 5 5 5 6 6 6 5 4 3 3 3 4 4 4 4 4 4 3 3 4 4 5 5 4 4 4 3 2 3 3 4 4 3 3 3 5 6 7 8 9 10 9 12 17 12 1 -1 1 1 1 2 2 3 4 4 5 4 4 4 5 6 8 10 12 15 15 12 9 10 11 12 13 10 9 10 7 3 4 9 11 6 2 2 3 4 5 3 1 2 8 13 11 9 5 8 11 8 6 12 18 16 9 6 6 8 9 10 8 6 5 3 5 5 6 9 10 11 11 9 9 12 14 13 9 4 -2 -6 -4 8 21 26 19 10 1 -5 3 18 21 17 13 9 8 9 9 8 5 2 0 1 3 6 7 7 5 4 5 6 7 7 7 7 6 5 4 4 4 5 6 7 6 7 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 3 3 4 5 4 4 4 4 5 4 4 3 3 3 2 2 2 3 5 7 8 8 7 6 5 5 4 4 4 3 4 4 5 5 5 5 5 5 4 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 2 0 -2 -4 -7 -7 -5 -3 -2 0 4 6 6 6 6 6 6 5 6 6 6 6 6 7 9 10 13 15 13 9 5 5 4 3 3 5 6 7 6 6 7 7 7 6 5 5 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 5 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 6 6 6 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 11 9 8 9 10 11 11 10 9 7 4 4 3 4 7 11 14 14 11 9 8 10 11 8 4 3 4 6 7 7 5 2 2 4 7 7 6 7 7 8 7 6 6 5 4 3 3 3 4 4 3 3 3 3 3 5 8 11 11 9 6 5 3 3 3 4 5 5 5 6 6 5 4 3 3 2 1 2 2 3 4 5 7 9 9 9 8 7 6 6 6 7 6 6 4 3 3 3 3 3 4 4 3 4 4 4 4 4 5 5 5 4 3 3 2 3 3 4 4 3 3 2 5 7 8 8 9 10 10 14 12 5 2 1 1 1 2 2 3 3 4 4 5 4 4 5 9 11 14 16 18 20 19 15 11 10 11 10 8 6 7 8 10 9 6 6 6 5 4 6 6 2 1 4 4 2 3 7 9 8 4 5 6 2 1 5 10 9 6 3 4 9 14 14 11 7 5 3 5 8 8 9 9 9 7 5 7 15 20 18 14 11 5 -2 -0 10 20 23 17 9 2 -0 9 20 21 15 10 7 7 9 10 8 5 4 3 2 4 6 7 7 6 4 4 6 6 7 7 7 7 5 4 4 5 5 6 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 3 4 5 4 4 4 4 4 5 5 5 4 4 3 2 2 2 3 5 7 9 8 7 6 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 3 3 4 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 2 0 -4 -9 -12 -17 -18 -12 -7 -6 -4 -3 -1 3 6 6 5 5 6 6 5 6 6 5 6 6 7 9 12 15 16 10 6 5 4 3 3 4 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 5 6 6 6 5 5 5 5 6 6 5 5 5 5 6 7 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 11 9 9 9 9 9 8 7 7 7 5 4 4 6 8 10 12 11 8 7 8 11 13 10 7 6 6 7 7 7 7 4 3 2 3 6 8 12 15 13 9 8 7 7 6 4 4 4 4 4 3 3 2 1 2 4 7 8 7 5 4 3 4 4 5 7 7 7 8 7 7 7 6 5 4 3 3 2 2 2 3 3 4 6 8 9 9 9 7 7 7 7 7 6 5 3 3 3 3 3 3 4 3 4 5 5 5 5 5 5 5 5 3 3 3 3 3 4 3 3 2 3 6 8 8 8 9 11 13 12 4 1 2 1 1 1 2 3 4 4 4 4 4 4 5 11 17 19 19 20 20 18 15 12 9 8 9 9 7 7 7 9 11 11 6 5 5 5 6 7 8 6 5 8 6 -1 -2 0 4 6 4 4 3 -1 -5 -5 -0 3 2 1 1 5 9 9 7 5 5 4 6 7 5 3 3 4 3 3 5 9 11 12 15 21 17 8 7 12 19 20 15 9 2 3 13 19 18 13 8 6 7 9 8 6 6 6 4 1 1 3 6 7 6 5 5 6 6 6 6 7 7 6 5 5 5 6 6 7 7 6 6 6 6 6 6 6 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 4 5 5 4 4 4 5 5 5 5 4 4 3 2 2 3 4 4 6 8 9 7 6 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 5 5 5 5 5 4 3 3 3 3 2 2 2 2 3 3 2 -1 -7 -17 -24 -25 -17 -10 -4 0 1 1 -0 -2 1 5 5 5 5 5 6 6 6 6 5 6 6 6 8 10 12 12 8 6 5 4 3 3 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 5 6 6 6 5 5 5 6 6 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 7 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 8 7 7 6 5 5 5 5 6 6 6 8 9 8 7 7 6 4 5 7 11 12 11 10 10 10 9 9 9 9 8 5 2 2 5 10 16 18 13 8 6 6 6 6 6 5 5 5 4 3 2 2 2 3 5 6 6 4 3 2 3 5 6 8 10 10 9 8 8 8 8 8 7 6 5 4 3 3 3 2 3 3 4 5 7 9 10 10 9 7 6 7 6 5 4 3 3 3 3 3 3 3 4 5 6 6 6 6 6 6 5 4 3 3 4 4 3 3 3 4 6 8 9 9 9 9 11 19 12 1 1 2 1 1 1 2 3 4 4 4 4 3 5 10 20 24 21 17 16 14 11 9 8 8 7 7 9 10 10 7 9 11 11 6 2 3 5 5 7 7 6 8 12 10 3 -1 -1 1 4 5 5 4 -0 -5 -5 -1 2 3 2 1 0 2 2 1 1 3 2 2 2 1 1 1 2 3 3 4 3 4 10 23 29 22 14 13 14 18 18 14 8 3 6 14 17 14 10 6 6 7 8 8 6 7 6 3 0 -2 -1 5 8 7 6 5 6 6 6 6 7 7 7 6 5 5 5 6 7 7 7 6 6 6 5 6 6 5 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 4 4 5 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 5 7 8 7 6 5 4 4 4 4 5 5 5 5 5 5 4 4 5 5 3 3 4 4 4 4 4 4 3 4 3 3 3 3 3 4 4 5 5 5 5 5 3 3 3 2 2 2 1 1 1 1 1 -0 -5 -14 -26 -31 -25 -10 -0 3 5 6 6 4 2 2 4 5 4 5 5 5 6 6 6 6 6 7 7 8 9 9 8 7 6 5 4 3 3 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 4 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 7 6 7 6 6 5 6 6 6 7 7 7 8 8 8 8 7 6 6 5 6 7 7 8 8 9 8 8 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 4 4 4 3 4 4 4 4 6 6 7 8 8 5 5 5 4 4 6 8 9 10 11 11 12 12 11 11 12 12 9 5 5 7 11 14 12 7 4 3 3 4 5 6 6 5 5 4 3 2 2 3 4 6 7 5 4 3 2 3 5 7 11 12 11 9 7 7 7 7 8 8 8 8 7 6 5 4 3 3 3 3 4 5 6 9 11 10 7 6 6 7 6 4 3 3 3 3 3 3 4 4 5 6 6 6 6 7 6 5 4 3 4 4 3 3 3 3 4 7 9 10 11 11 11 15 19 10 2 2 2 1 1 2 2 3 4 4 4 3 4 10 20 24 19 13 11 10 7 7 8 10 9 8 8 9 12 10 5 4 9 10 8 2 2 4 4 6 6 2 1 7 11 9 5 1 1 3 5 6 5 2 -1 -1 3 7 9 6 2 0 -0 -1 -0 -1 -0 -1 -1 1 2 2 1 0 1 4 6 5 6 18 32 31 22 18 16 15 16 16 12 7 5 8 14 15 11 8 6 6 7 7 7 7 8 8 5 2 -2 -4 2 7 7 6 6 6 7 6 6 7 7 7 6 5 5 5 5 6 7 7 6 5 6 6 6 6 5 4 4 4 4 4 4 5 4 4 5 5 4 4 5 5 5 4 3 4 5 5 5 5 4 4 5 5 5 4 4 3 3 3 4 4 4 4 5 7 8 8 6 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 4 3 3 3 4 4 4 5 5 5 4 3 3 3 3 2 1 0 -0 -1 -0 -0 -2 -6 -14 -23 -25 -19 -9 -0 4 6 6 5 5 1 -2 2 5 5 5 5 6 6 6 6 6 6 7 8 9 9 8 7 6 5 4 3 3 3 3 4 4 5 5 5 4 5 5 5 5 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 7 6 6 6 6 6 6 7 6 6 5 5 5 5 6 7 7 6 7 6 6 6 5 6 6 6 6 6 6 7 7 8 8 8 8 7 6 6 6 6 6 7 8 8 8 8 9 9 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 3 3 3 3 3 4 3 3 4 4 5 5 6 5 4 5 6 6 5 5 5 6 8 9 10 10 11 12 13 14 12 11 9 9 10 10 7 3 2 2 2 2 3 5 5 5 5 4 3 2 2 4 6 7 8 6 4 2 2 3 5 8 10 11 9 7 6 5 6 6 7 8 9 9 9 9 7 5 5 4 4 4 4 4 5 7 10 11 9 6 5 6 6 4 3 4 4 4 3 3 3 4 4 5 6 6 7 7 7 5 5 3 3 3 3 2 3 4 5 6 8 11 12 12 16 18 10 1 2 2 2 2 2 2 3 3 4 4 4 4 9 17 23 19 11 8 8 7 6 8 10 11 10 10 12 13 13 9 3 2 6 8 7 4 3 5 5 5 6 4 0 3 7 9 8 5 4 4 5 5 5 4 3 4 7 14 15 9 4 2 1 1 0 1 1 1 0 2 3 2 3 4 8 11 9 8 9 21 30 24 18 19 18 16 15 14 12 8 7 9 12 13 11 7 6 6 6 6 4 7 9 8 6 4 1 -4 -0 6 7 6 7 7 7 7 6 7 7 7 7 6 5 5 5 5 5 6 5 5 5 6 6 5 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5 5 5 4 3 4 4 5 5 5 4 4 5 5 4 3 3 3 3 3 4 4 4 3 5 6 7 8 7 6 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 4 3 3 4 4 4 5 4 4 4 4 3 3 3 2 1 1 -0 -0 -0 -0 -2 -5 -9 -15 -15 -11 -6 1 5 6 6 5 4 2 -3 -5 1 5 5 6 6 6 6 6 6 6 7 8 8 9 9 8 6 5 4 3 2 2 2 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 7 6 6 6 5 4 4 5 6 6 6 6 6 6 6 5 6 6 5 6 6 6 6 7 7 7 8 9 8 7 7 6 6 6 6 7 7 7 7 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 6 6 5 3 3 4 5 6 6 6 8 11 11 12 13 13 12 11 10 8 6 4 3 2 2 2 2 3 4 5 5 4 4 3 3 4 7 8 9 7 4 2 2 2 4 7 8 8 7 6 6 6 6 6 6 7 8 9 10 10 10 8 7 5 5 5 4 4 4 6 9 11 10 8 6 5 4 3 3 3 4 3 3 3 3 3 4 4 5 6 6 7 7 6 5 4 3 2 2 2 3 4 5 6 9 11 13 14 18 15 3 -2 -1 2 2 2 2 3 3 3 4 4 4 6 12 18 18 13 9 8 8 8 9 11 12 11 10 9 9 11 11 8 4 5 9 9 6 6 5 6 7 8 8 8 4 1 3 6 8 8 8 7 5 5 5 6 6 10 18 21 15 8 4 2 1 2 2 2 4 4 3 3 4 4 5 9 18 21 14 9 10 16 20 17 14 15 16 14 12 12 12 9 7 9 11 12 11 8 7 7 6 4 3 8 9 7 5 6 3 -1 -0 5 6 6 7 7 7 7 7 7 8 7 7 6 5 5 4 5 5 5 5 6 5 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 3 3 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 4 6 6 8 7 6 5 4 5 5 5 6 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 2 1 2 1 1 1 1 0 -2 -6 -8 -5 -1 1 4 5 6 6 5 4 4 1 -2 2 4 5 6 6 6 6 6 6 6 6 7 7 8 8 8 7 6 5 4 3 1 -1 1 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 8 8 7 7 6 6 6 7 7 7 7 8 9 9 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 4 4 4 5 5 5 5 5 5 5 5 4 4 3 4 5 5 4 3 3 4 4 4 4 4 5 7 8 8 9 10 10 10 10 10 8 6 5 4 3 1 1 1 3 4 5 5 4 4 4 5 6 8 9 7 4 2 2 2 4 5 6 6 6 7 8 9 10 9 7 7 7 9 10 11 11 10 9 7 6 5 5 4 5 5 8 11 11 8 6 4 3 3 3 3 3 3 2 2 3 3 4 4 4 5 5 6 7 7 7 5 3 2 2 2 2 4 6 8 11 12 12 14 16 9 2 1 -2 2 2 3 3 4 4 4 4 4 4 6 11 14 13 9 8 8 9 11 13 15 14 12 11 7 4 4 7 8 8 9 11 9 7 6 6 6 9 13 10 8 6 2 2 4 7 9 10 10 8 4 3 5 9 19 23 16 9 5 3 1 1 2 4 4 6 6 5 4 6 8 8 9 13 17 12 8 9 9 12 12 11 12 11 7 6 10 12 9 8 9 11 13 11 8 6 6 5 3 4 9 9 6 5 6 5 2 1 4 5 6 7 7 8 8 8 8 8 7 7 6 5 4 4 4 5 5 5 6 6 6 6 6 5 4 4 4 4 4 5 4 4 4 5 5 5 4 4 5 5 5 4 3 3 4 4 4 4 4 4 4 4 3 3 2 2 2 2 3 3 3 4 5 6 7 7 6 5 4 5 5 6 6 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 2 1 1 2 2 1 2 2 2 0 -4 -2 3 5 4 6 6 6 6 5 5 5 4 2 4 5 6 6 6 7 6 6 6 5 5 6 6 7 7 8 7 6 6 6 6 5 2 1 4 5 5 5 5 5 6 5 6 6 6 6 5 5 5 5 5 6 6 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 8 8 8 7 6 7 7 7 7 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 5 5 6 6 6 7 7 6 6 6 6 6 6 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 10 10 9 8 6 5 2 1 1 3 4 5 5 5 5 5 5 5 7 8 7 4 3 2 3 4 5 5 6 7 9 11 13 13 12 9 7 6 7 8 9 10 10 10 8 7 6 5 4 5 6 8 10 11 8 5 3 3 2 2 3 3 3 3 2 3 3 3 4 4 4 5 6 7 7 6 5 3 2 2 2 3 6 10 13 12 11 10 14 11 2 2 3 0 1 3 3 3 4 4 3 4 4 4 5 8 10 9 8 7 8 9 10 13 15 14 14 12 8 3 4 7 9 8 7 7 9 8 6 6 6 7 13 12 8 8 5 4 5 5 7 10 11 10 5 2 3 10 20 15 6 4 2 1 1 2 4 6 6 7 7 6 5 7 9 10 7 1 0 8 10 8 6 7 13 14 11 4 -0 3 11 13 9 8 10 11 13 11 8 6 6 4 4 6 9 8 6 5 6 7 6 3 4 5 6 6 7 8 8 9 9 8 7 7 6 4 4 4 4 5 5 6 6 6 6 6 6 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 3 3 2 2 2 2 3 3 3 3 4 6 8 7 7 5 5 5 6 6 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 4 4 3 3 1 1 2 1 1 1 2 2 3 1 -2 -0 3 5 6 6 6 7 7 5 5 5 5 2 -0 4 5 6 6 7 6 6 5 5 5 5 6 6 6 6 7 6 6 6 6 8 9 5 4 5 5 5 6 5 5 6 6 6 7 7 6 6 6 6 6 7 7 8 9 11 11 10 9 8 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 6 7 8 8 8 8 8 7 7 7 7 7 6 5 5 5 5 5 4 4 5 4 5 5 4 4 4 4 3 3 3 3 4 5 6 7 8 10 10 10 9 8 6 6 6 5 6 6 6 5 5 5 5 5 6 5 4 3 4 5 6 5 5 6 7 9 11 13 13 12 9 6 5 5 6 6 8 9 10 9 8 7 6 6 5 6 8 10 10 8 5 3 3 2 3 3 4 4 3 3 2 3 3 3 4 4 5 6 6 6 6 4 3 3 3 4 8 13 18 18 12 8 8 14 8 -0 0 2 1 2 3 3 4 4 3 4 4 3 3 4 5 5 6 7 8 9 8 7 7 10 12 14 14 10 4 5 8 8 7 5 5 7 7 7 6 6 6 9 12 12 11 7 5 5 5 5 8 12 12 8 4 4 10 12 6 1 0 1 1 3 3 7 9 7 7 7 7 6 4 6 6 6 1 -0 8 11 9 6 9 15 15 8 2 4 14 19 15 9 8 10 11 12 10 7 6 5 4 5 7 8 6 5 6 7 9 9 5 3 5 5 6 7 8 9 9 9 8 7 6 4 3 4 3 3 4 5 6 7 6 6 6 6 4 4 5 5 4 4 4 5 4 5 6 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 4 3 3 3 2 1 2 3 3 3 4 5 6 8 8 7 6 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 4 4 3 2 1 1 1 1 1 1 1 2 2 -0 -1 0 5 7 7 6 7 8 7 5 5 5 6 6 4 3 4 5 6 6 5 5 5 5 5 5 5 5 6 6 6 7 6 5 4 5 4 2 4 5 5 5 6 6 5 6 6 7 7 7 7 7 7 6 6 7 7 8 10 12 12 11 10 9 8 8 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 6 5 5 6 6 7 8 9 9 9 8 8 7 7 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 6 6 7 7 7 7 7 7 8 7 7 8 7 7 6 6 6 6 6 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 3 4 3 3 5 6 8 10 12 13 13 13 11 9 9 11 10 8 6 5 5 5 5 5 4 4 5 6 7 6 5 5 6 7 8 9 8 8 6 5 4 5 4 5 6 7 8 9 9 9 8 7 6 7 8 10 10 8 6 5 4 4 4 4 4 4 4 4 3 3 2 2 3 4 5 6 6 5 4 3 3 3 5 9 14 18 21 21 15 11 12 11 4 -2 -1 1 1 2 3 3 4 4 4 4 4 3 3 3 3 5 8 10 10 10 8 5 4 6 8 10 13 12 7 5 6 7 7 6 7 7 6 6 7 7 7 6 11 15 12 9 7 6 5 4 6 10 12 9 6 6 8 5 2 -0 -1 1 1 4 4 6 8 6 7 7 6 4 2 3 6 8 7 6 9 10 9 8 10 10 10 9 12 21 29 25 15 9 8 10 12 11 10 7 7 6 5 6 8 8 7 6 7 8 9 8 4 2 5 6 6 7 8 9 9 8 8 7 6 4 3 3 3 3 3 5 7 7 7 6 6 5 4 5 5 4 4 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 3 2 2 1 1 2 3 4 4 4 5 6 8 8 8 6 6 5 5 6 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 5 4 4 3 1 1 0 0 1 1 1 1 1 1 3 5 5 6 8 8 8 9 9 8 6 5 6 7 7 5 3 3 4 5 4 4 3 3 3 3 3 3 3 4 5 6 7 6 5 4 4 2 -3 1 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 7 9 10 10 10 10 9 8 7 7 7 7 7 7 6 6 6 6 6 5 6 6 5 5 5 4 5 5 5 5 5 5 5 5 6 6 5 5 5 6 5 6 6 6 6 7 8 8 9 9 9 8 8 8 8 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 6 5 5 5 6 5 6 6 6 7 6 6 6 6 7 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 1 2 3 4 5 8 11 15 17 15 13 13 16 18 15 9 5 5 4 4 4 4 5 6 6 6 6 5 4 4 4 5 5 5 5 4 4 5 6 6 5 4 5 6 7 8 9 10 9 9 8 8 9 10 10 8 6 5 4 4 4 5 5 6 5 5 4 2 2 3 5 6 6 5 3 1 1 3 5 9 14 16 15 16 20 22 23 19 6 -1 -2 -0 0 1 2 3 4 4 4 4 4 4 3 2 3 5 10 14 13 11 12 10 7 5 5 7 8 11 12 9 5 5 7 8 8 7 6 6 6 6 7 7 8 11 12 10 10 10 9 7 5 5 8 10 8 6 6 5 2 1 -0 -1 -0 1 4 6 6 5 6 6 6 4 3 2 3 6 8 7 8 7 5 5 8 10 7 7 14 21 30 32 23 13 8 7 10 12 11 9 8 7 6 6 7 7 8 6 6 7 10 11 7 2 2 5 5 6 7 8 8 8 8 7 7 6 4 3 3 4 3 4 5 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 3 2 2 1 1 2 3 4 4 4 4 5 7 8 8 7 6 6 5 6 6 5 4 4 5 4 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 5 5 5 3 2 1 1 1 1 1 2 2 2 2 7 16 18 11 6 8 7 8 10 9 9 7 7 7 8 7 2 1 3 3 4 4 4 3 1 -1 -2 -2 -1 -1 -1 1 5 8 8 6 6 5 6 4 2 6 6 7 6 6 6 6 7 7 8 7 7 7 7 7 7 6 6 6 7 8 8 8 7 7 7 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 8 9 9 9 9 8 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 4 4 4 3 4 5 5 5 6 5 5 5 4 3 3 2 2 3 3 3 5 9 13 13 11 12 17 22 20 11 4 3 4 4 4 4 5 6 6 6 6 5 4 3 3 3 4 4 3 3 3 5 7 9 8 6 5 5 5 7 9 11 12 10 9 8 8 10 10 9 7 5 4 4 5 5 6 6 6 6 5 3 3 4 5 5 5 3 2 1 2 5 10 14 16 17 14 12 18 28 28 17 1 -4 -1 -0 0 1 3 4 5 5 4 4 3 3 3 5 8 13 17 19 14 10 10 10 8 6 5 6 8 10 11 9 6 6 6 6 9 7 4 5 5 4 4 5 6 8 8 9 9 9 10 10 7 5 6 9 7 4 2 -1 -1 -0 0 -0 -1 1 3 7 8 6 5 5 6 5 4 4 4 5 3 1 4 2 -2 -0 5 8 8 8 12 18 25 25 18 11 8 8 9 11 11 9 7 7 7 7 7 7 7 5 5 7 12 13 6 2 3 5 5 5 7 8 8 8 7 7 7 6 4 4 4 4 3 4 5 7 7 6 5 5 6 6 5 5 5 4 4 4 4 5 5 6 6 6 5 5 5 5 5 6 6 5 4 4 5 5 5 4 3 2 2 1 1 2 4 5 5 5 5 4 5 7 7 8 7 7 5 5 6 6 5 4 5 4 4 3 3 3 2 2 2 2 3 3 3 3 3 4 4 4 3 4 4 3 3 3 3 4 5 5 4 3 2 2 1 2 2 3 3 4 3 5 14 27 24 11 7 8 7 8 9 9 8 6 6 7 9 8 4 2 4 4 5 5 5 5 4 2 1 -1 -2 -3 -4 -3 -1 4 9 10 9 6 8 10 7 7 8 8 7 6 6 6 6 7 7 6 6 7 7 7 8 8 7 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 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 6 7 8 9 9 9 8 8 8 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 3 3 3 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 5 4 4 4 4 4 4 3 3 4 6 7 6 7 11 17 17 11 4 2 4 7 6 5 5 5 5 5 5 5 4 4 4 4 5 5 4 3 3 5 8 12 12 10 6 5 4 5 7 10 12 11 8 6 6 7 9 8 7 5 4 4 5 5 6 6 7 7 6 6 4 4 4 4 4 7 11 11 10 11 12 12 14 19 21 19 21 24 19 8 -2 -4 -1 -0 0 2 3 5 5 5 5 4 3 3 7 14 19 20 19 17 13 10 9 9 9 7 6 7 8 8 5 4 5 6 5 5 7 3 -0 -1 1 1 0 1 2 3 4 5 6 8 12 14 12 8 8 9 7 3 -1 -2 -1 -0 1 0 0 2 2 5 7 7 6 4 4 5 5 4 5 5 3 2 4 1 -4 -3 2 5 7 10 13 16 22 21 15 10 9 8 9 11 11 8 6 7 8 8 7 7 6 6 5 7 11 11 4 1 4 6 6 5 7 8 8 8 7 6 7 6 5 5 5 4 3 3 5 7 7 6 5 5 5 6 5 5 4 4 3 4 4 5 6 6 6 5 6 5 5 5 5 5 6 5 5 4 5 5 4 4 3 2 1 -0 1 3 5 6 5 6 5 5 5 6 7 7 7 6 6 6 6 6 5 5 4 4 4 4 3 2 1 1 1 2 3 3 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 3 2 2 2 2 2 3 4 3 5 9 14 20 15 7 6 8 10 9 9 8 6 4 4 7 10 10 8 8 6 5 5 6 6 6 7 9 12 11 7 4 3 2 1 4 8 10 11 10 9 8 7 8 8 8 7 6 5 5 5 6 6 6 5 5 6 7 8 8 8 7 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 5 5 5 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 6 6 7 8 8 9 9 8 8 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 3 4 5 5 5 5 5 4 4 4 4 5 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 4 3 4 4 4 3 5 8 10 8 4 3 6 10 9 7 5 5 4 4 4 4 4 5 6 6 7 7 6 5 4 4 8 15 18 14 8 6 4 4 5 8 9 8 6 4 4 5 7 7 7 5 4 4 4 6 6 6 6 7 8 7 6 4 2 3 9 20 31 33 23 11 7 7 11 18 24 23 17 13 9 4 0 -1 0 0 1 2 4 5 6 6 4 4 3 5 11 18 20 18 15 13 14 13 10 10 10 9 7 6 5 3 -0 2 8 9 7 5 3 2 1 -2 0 -0 -2 -1 0 -0 0 2 3 5 12 19 18 14 12 12 8 2 -1 -0 1 3 3 2 3 3 2 2 2 4 6 4 3 4 4 4 5 4 6 8 10 5 -0 1 2 4 8 12 14 17 21 20 14 10 9 9 9 10 10 7 6 7 8 8 7 7 6 5 5 8 10 7 2 2 5 7 6 6 6 7 8 7 7 6 6 6 6 6 6 5 4 4 5 6 6 6 4 4 4 5 5 5 4 3 3 3 4 6 8 8 7 5 5 5 5 5 5 6 6 5 4 4 5 5 4 3 3 3 1 0 1 3 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 2 1 1 2 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 5 5 5 4 3 2 2 2 2 2 2 3 3 9 19 18 10 7 6 5 6 9 9 8 7 8 7 5 6 9 11 12 9 6 6 5 5 6 6 7 9 12 13 13 12 10 9 9 6 5 7 10 12 11 8 7 7 7 7 6 5 5 5 4 5 5 5 5 4 5 6 6 7 8 7 6 6 5 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 4 4 5 6 6 6 5 5 5 4 4 4 4 3 4 4 5 5 5 5 5 5 6 5 5 5 6 7 7 7 8 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 4 4 5 5 5 6 6 5 5 5 4 4 3 4 4 5 6 6 5 5 5 5 6 6 6 5 5 5 4 3 2 4 5 5 4 5 9 12 10 7 5 4 4 4 3 3 5 6 7 7 7 8 7 6 5 4 8 15 20 16 10 6 5 4 5 6 7 6 4 3 4 5 6 6 6 6 5 4 4 5 6 7 6 7 8 8 5 3 4 7 15 26 36 35 20 4 2 6 9 13 11 8 4 4 4 3 1 0 1 1 2 3 4 5 6 6 5 5 7 12 15 14 12 11 11 11 14 15 11 8 10 9 7 5 3 2 2 5 11 9 6 5 3 3 3 3 4 3 -2 -1 -0 -1 -1 1 0 1 9 19 22 18 15 12 7 0 -1 1 3 4 5 4 4 4 3 2 1 1 4 5 6 7 7 6 6 10 12 12 12 9 4 6 4 4 9 15 17 20 22 19 13 10 10 9 10 10 9 7 6 7 7 7 7 6 5 5 6 9 9 4 1 3 6 7 6 6 6 6 7 8 7 6 6 6 6 7 6 6 5 4 5 6 6 6 4 4 4 4 4 5 4 3 3 4 5 7 8 9 7 6 5 5 5 5 5 6 5 5 5 5 5 5 4 4 3 3 1 0 1 3 5 5 5 6 6 6 6 7 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 4 3 2 2 2 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 5 5 4 4 3 2 2 2 2 2 2 2 4 14 27 20 6 6 7 6 7 7 7 6 6 9 9 7 7 8 10 11 6 5 6 5 4 4 4 5 5 6 8 9 8 7 6 5 4 4 5 6 8 8 6 6 6 6 6 6 5 5 5 5 4 5 5 5 4 4 5 5 6 6 6 6 6 5 5 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 5 4 4 5 5 5 6 6 6 6 6 5 5 4 5 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 6 7 7 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 5 5 4 5 5 5 5 5 5 6 7 8 8 8 7 7 7 7 7 6 5 5 5 4 4 3 3 3 2 3 3 3 4 6 7 8 10 12 15 13 8 6 8 11 10 7 4 2 2 3 5 7 8 8 6 5 3 4 5 8 9 9 9 10 10 10 9 7 5 4 6 9 12 14 13 11 7 6 6 6 6 6 9 12 10 6 1 2 4 6 7 5 5 5 9 12 14 13 10 7 -2 -12 -13 -3 3 5 5 4 4 3 3 4 4 4 8 11 13 13 13 11 10 10 11 10 10 8 7 9 8 7 6 7 9 7 5 2 2 3 3 5 6 7 8 7 4 2 2 2 1 3 1 2 5 5 4 3 0 -1 2 6 6 4 3 1 1 2 5 7 7 8 8 8 7 7 5 5 6 7 6 3 4 1 -7 -7 1 5 4 3 3 5 8 10 12 13 13 14 14 14 13 10 10 11 10 9 7 7 7 7 7 8 7 6 5 5 7 9 7 5 4 4 4 5 6 6 6 7 6 7 6 5 5 5 5 6 7 7 6 6 7 10 10 8 6 5 2 0 1 3 5 5 5 6 6 7 9 9 9 8 7 6 6 6 6 6 5 5 5 4 4 4 4 4 4 3 4 6 7 7 6 5 5 5 4 3 3 3 4 5 6 6 6 6 6 7 8 9 9 9 9 8 6 6 7 7 7 6 4 3 3 3 3 3 4 5 5 6 5 4 4 3 3 3 3 3 3 3 3 4 4 3 3 4 6 9 7 7 6 6 6 7 7 6 7 6 7 7 7 7 7 6 3 2 3 4 4 4 4 4 3 4 4 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 7 8 8 8 8 8 7 7 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 6 5 5 5 5 5 6 6 5 5 5 5 6 6 7 7 7 8 8 8 9 8 7 7 7 7 6 5 5 4 4 4 4 3 3 4 6 7 8 9 10 9 7 7 7 7 5 3 2 2 3 5 7 9 10 9 7 6 4 4 6 8 9 9 8 8 9 9 9 7 5 5 6 7 10 12 13 12 11 9 8 7 6 8 10 10 6 4 4 5 5 5 6 7 7 6 6 5 5 4 2 1 -4 -8 -4 4 7 7 5 4 3 3 3 3 4 5 7 9 12 15 15 11 8 7 9 10 10 7 6 8 8 7 7 8 7 7 7 3 0 1 1 4 6 4 7 12 9 3 3 3 0 1 1 1 2 3 4 6 5 3 4 6 6 5 3 2 1 1 2 4 5 6 5 5 6 8 8 8 7 7 6 5 4 2 -1 -0 2 3 2 2 3 5 7 9 11 13 14 14 13 13 12 11 10 11 10 9 8 7 6 6 7 8 8 6 4 5 8 7 5 6 7 5 3 4 5 6 6 6 6 6 6 5 5 5 6 6 7 7 7 6 7 10 11 10 7 5 2 1 2 4 5 6 6 6 6 6 7 8 8 8 8 7 8 7 6 6 6 5 4 4 5 4 4 4 4 4 5 7 7 6 5 5 5 5 4 4 3 3 5 5 6 6 6 6 6 7 8 9 10 10 9 8 7 5 6 7 7 6 4 4 4 4 3 3 5 6 6 6 5 5 4 4 3 2 2 3 3 4 4 4 4 3 2 11 19 13 6 6 6 6 7 7 7 7 6 7 7 7 7 8 7 5 4 5 7 6 5 4 3 3 3 5 6 6 6 6 5 5 4 3 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 7 6 7 6 6 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 6 8 9 9 8 7 8 7 8 7 5 4 3 3 5 7 8 8 8 7 6 4 4 6 8 7 7 7 8 9 8 8 6 6 5 5 5 6 6 6 6 5 6 7 7 8 8 8 7 7 6 6 7 9 9 11 14 14 8 4 4 3 3 3 4 7 8 8 8 9 10 11 10 10 18 34 46 40 26 19 16 11 6 3 2 1 3 8 16 22 24 24 17 8 6 8 10 12 10 9 8 9 7 4 2 4 6 4 4 7 9 9 9 9 9 8 4 3 4 5 -4 -5 5 8 6 5 6 9 9 8 6 4 1 1 2 5 9 11 9 6 3 2 2 3 2 3 4 6 5 5 2 1 2 3 4 5 5 6 5 5 9 12 9 6 6 7 11 12 10 9 11 13 13 13 12 13 12 11 11 11 10 10 9 8 8 7 7 7 6 5 4 4 7 9 9 7 5 4 3 3 3 2 3 4 4 5 4 4 4 5 6 7 7 7 7 7 9 10 11 10 9 8 6 6 7 7 8 8 8 6 5 5 5 6 7 8 8 9 9 8 7 8 8 6 5 4 5 5 4 4 5 7 7 7 7 5 5 5 5 4 4 4 5 5 5 5 4 4 5 6 8 9 8 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 7 7 8 7 6 5 4 4 3 3 3 4 3 3 3 3 3 2 3 5 8 10 8 7 7 6 6 6 6 6 7 8 8 8 9 9 9 9 9 10 9 8 8 7 5 4 4 7 8 8 6 6 4 4 3 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 7 7 6 7 6 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 6 6 7 7 7 6 6 6 6 5 6 6 6 6 6 5 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 6 6 6 5 4 5 7 7 7 7 7 7 8 7 6 5 4 3 4 7 9 11 10 8 6 5 5 7 7 7 7 7 7 7 7 6 5 5 5 5 5 6 7 7 7 7 6 6 7 8 8 8 8 7 6 6 6 7 7 7 5 4 2 2 3 4 4 4 3 4 6 7 9 12 14 15 13 15 25 34 36 29 18 12 9 6 3 1 -0 1 3 6 10 14 17 18 15 8 7 9 10 10 9 8 9 9 8 4 2 4 5 4 4 6 9 10 9 9 8 8 6 2 3 7 4 -2 -0 4 4 2 3 6 9 9 10 12 8 3 2 2 5 8 9 6 4 3 3 3 3 3 3 5 6 5 2 3 5 5 5 5 5 6 6 6 4 4 6 7 9 10 13 14 11 10 11 12 13 13 13 13 13 12 11 11 10 10 9 8 8 8 7 7 6 4 2 5 8 10 9 6 5 3 2 4 5 3 2 3 3 4 4 4 4 5 6 6 6 6 7 7 8 9 10 10 9 8 8 8 8 8 8 8 7 6 5 5 6 7 7 7 8 8 8 8 8 9 8 7 5 5 5 5 4 5 6 7 7 7 7 6 5 5 5 5 5 5 6 6 7 6 5 4 5 7 9 9 9 8 6 6 6 6 6 6 7 6 5 4 5 5 6 6 7 8 8 8 8 7 6 5 5 4 3 3 4 4 4 4 3 3 2 2 6 11 11 10 8 7 7 6 6 6 6 7 7 8 8 9 9 10 10 8 8 8 8 9 8 7 5 4 4 6 7 7 6 5 4 4 4 5 5 5 5 5 5 6 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 7 7 7 7 7 6 6 7 7 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 5 4 4 5 6 6 7 6 7 7 7 6 5 4 3 4 5 8 11 12 10 7 5 5 6 6 7 7 7 7 6 6 5 5 5 5 5 6 9 10 11 11 9 7 7 7 7 8 8 8 7 7 6 5 6 6 4 2 1 2 2 3 4 4 4 2 2 5 8 13 17 20 17 20 29 29 20 13 9 6 4 2 1 -0 -1 -1 2 5 6 6 9 12 13 11 8 8 10 11 10 9 8 8 9 9 4 2 5 3 3 2 3 6 10 10 10 7 5 4 2 4 7 7 3 -2 2 6 6 4 4 7 9 8 10 10 6 4 1 2 5 7 6 5 4 4 4 4 4 3 4 4 2 1 4 5 6 7 7 6 6 6 6 3 4 7 8 9 11 13 12 10 10 10 11 12 13 14 13 13 12 12 11 11 10 9 9 8 8 8 7 6 4 3 5 8 10 9 7 4 2 3 6 6 3 3 3 2 2 3 4 5 6 6 6 5 5 6 7 8 9 9 9 9 9 9 9 8 8 8 8 7 6 5 6 6 7 7 7 8 8 8 8 9 9 9 8 6 6 6 5 5 6 6 6 7 7 7 6 6 5 4 5 6 7 7 7 7 7 6 5 5 7 9 10 10 8 6 6 6 6 7 8 9 8 6 5 5 5 6 7 9 9 9 9 8 7 6 6 4 3 2 3 3 4 4 4 4 3 2 3 5 9 11 10 9 7 6 6 6 6 7 7 7 7 7 7 8 9 8 6 6 7 8 9 9 7 5 4 4 5 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 8 8 7 8 8 7 7 7 7 6 6 6 6 6 7 7 6 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 5 5 5 5 6 6 6 6 7 8 7 6 5 4 3 4 6 10 12 11 8 6 5 5 6 7 7 7 7 6 5 4 5 4 4 5 8 13 16 16 13 10 8 6 6 7 8 8 8 8 7 6 5 5 6 7 7 7 6 5 4 4 4 3 0 1 6 10 14 17 18 16 29 40 26 9 1 1 1 0 -1 -1 -2 -2 0 4 7 8 8 10 12 12 10 8 8 9 11 11 8 8 8 9 10 7 4 5 5 3 0 -2 1 8 9 11 11 7 5 1 -1 4 9 7 4 5 10 9 7 5 6 9 9 6 6 8 7 4 1 2 5 7 6 3 3 3 4 4 4 4 4 1 1 3 3 5 6 8 8 6 6 6 4 3 5 5 7 10 11 10 10 10 10 11 12 14 14 14 13 12 12 11 11 10 9 8 9 9 8 7 6 5 4 5 7 9 9 7 5 3 4 6 4 2 4 5 3 -0 1 3 4 6 6 5 5 5 6 7 8 8 8 9 9 9 9 9 8 7 7 7 7 6 6 6 6 7 7 7 8 8 8 9 9 10 10 9 8 7 6 6 6 6 5 6 7 8 7 7 5 4 4 6 7 7 7 7 8 8 7 6 6 7 8 10 10 8 6 6 6 6 7 9 10 9 7 5 4 5 6 8 9 11 11 10 9 7 6 5 4 3 2 2 3 4 5 5 4 3 3 3 3 5 7 10 10 7 6 7 7 7 7 6 6 6 6 6 6 5 5 5 6 8 9 9 9 7 5 3 4 5 5 5 4 4 5 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 6 7 7 7 7 7 7 7 7 8 7 7 7 7 8 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 7 7 6 6 6 6 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 11 11 11 13 14 15 14 13 12 11 9 16 28 25 14 6 2 2 5 8 9 11 11 12 12 11 12 13 13 12 13 14 15 16 16 16 15 13 13 12 11 10 10 10 11 11 11 13 14 14 14 14 14 13 12 11 10 12 14 15 16 16 16 16 17 18 18 18 18 18 16 14 12 12 12 12 12 12 13 14 15 15 16 15 15 15 14 13 12 12 13 12 11 11 12 11 11 11 10 10 9 9 10 11 11 12 12 12 11 11 11 11 11 10 10 11 11 13 14 14 14 14 13 13 13 13 12 13 16 18 17 14 11 8 8 10 11 11 9 9 9 9 9 8 8 12 14 13 11 10 10 11 11 12 12 12 13 13 13 12 11 10 9 9 9 10 10 11 11 11 12 12 11 11 10 10 11 12 13 12 11 9 9 11 11 11 11 11 12 11 11 11 11 10 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 11 11 10 10 10 11 11 10 9 8 10 12 13 13 12 11 11 11 11 10 10 11 11 11 11 10 10 11 11 11 12 11 11 11 11 12 12 12 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 10 7 6 7 8 10 13 14 15 14 13 13 13 12 12 12 12 12 12 12 11 11 12 12 11 12 12 13 13 12 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 13 13 13 13 12 13 13 13 13 13 13 13 13 14 13 13 13 14 14 14 12 13 16 16 13 11 10 8 9 10 12 13 14 14 14 15 15 15 15 16 16 16 16 17 16 17 18 18 17 16 14 13 12 12 13 14 13 13 15 17 20 21 19 16 15 15 14 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 12 12 12 13 14 13 13 13 12 13 14 14 14 14 14 12 13 13 15 17 17 16 14 13 13 13 11 11 13 14 14 13 11 11 12 13 13 12 13 14 14 14 13 14 14 13 13 13 12 13 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 11 9 9 18 24 19 10 5 6 9 10 8 10 11 13 12 12 11 12 13 13 13 13 14 16 17 18 18 16 15 16 16 14 13 12 11 12 11 11 11 12 12 13 14 14 13 13 13 14 13 14 15 15 13 13 12 13 13 14 16 18 19 17 15 13 12 12 12 12 12 13 14 15 15 15 15 15 14 13 13 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 12 12 12 12 12 12 11 11 11 12 11 12 12 13 14 15 15 15 14 13 13 13 13 13 14 16 16 14 11 10 10 12 12 12 12 11 10 8 9 9 9 11 11 11 11 11 11 11 12 13 14 14 13 12 12 12 11 10 9 9 10 11 11 11 11 12 12 13 12 10 11 11 12 12 14 15 13 8 6 7 8 9 11 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 12 12 11 10 9 9 10 10 11 11 11 10 9 10 12 11 10 10 10 10 11 12 10 9 9 11 12 12 12 12 12 11 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 8 6 6 10 13 15 15 15 14 14 13 13 13 13 13 12 12 12 11 11 11 11 12 12 12 12 13 13 12 13 13 12 12 12 12 12 12 13 13 12 12 13 12 12 12 12 13 13 13 14 13 12 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 14 13 11 10 9 9 10 12 13 14 14 14 14 15 15 15 15 16 15 15 15 16 17 19 19 17 15 14 14 13 13 13 13 13 13 13 14 14 15 14 14 13 13 13 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 12 11 12 13 13 14 14 13 13 13 13 14 14 14 14 13 12 13 14 16 17 16 14 13 12 13 13 12 14 15 14 13 12 11 12 13 13 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 6 6 12 9 8 10 11 13 13 13 12 11 11 12 13 14 15 16 17 17 16 15 15 15 16 17 16 14 12 11 10 9 10 10 11 12 13 13 15 17 17 17 16 15 13 12 11 11 11 12 13 13 14 16 18 18 16 13 12 12 12 12 12 13 14 14 15 15 15 15 14 13 12 12 11 11 12 12 12 12 13 13 13 12 11 10 10 10 11 11 12 11 11 12 12 11 12 12 13 12 12 12 13 14 15 15 15 15 13 12 12 13 14 13 12 12 11 10 11 12 13 13 12 12 11 10 9 10 10 11 12 11 11 12 12 12 13 12 13 13 12 12 11 11 10 10 10 10 10 11 12 11 12 12 12 13 12 12 12 11 11 12 13 14 15 14 12 9 6 5 5 8 10 11 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 11 10 9 9 9 10 11 12 11 10 9 10 11 11 10 10 10 10 12 13 12 10 10 9 9 10 11 11 12 11 11 9 9 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 12 11 12 11 12 12 12 11 12 12 11 12 12 11 11 11 11 11 11 11 11 11 12 11 11 9 8 9 10 12 14 15 15 15 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 12 13 12 12 12 12 13 12 12 13 13 13 13 13 13 12 12 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 12 12 11 11 11 11 12 13 13 14 14 14 14 14 14 15 14 14 15 15 14 15 16 16 17 17 15 14 14 14 14 14 13 13 14 13 12 13 13 13 13 13 13 14 13 13 13 13 14 13 13 13 14 13 13 13 13 13 13 13 12 12 13 14 14 14 13 13 13 13 12 13 13 13 13 12 13 14 14 16 16 15 13 12 12 12 13 14 15 15 14 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 13 12 12 13 13 14 15 16 17 18 18 16 15 14 13 14 15 16 15 14 14 12 11 10 9 9 9 11 12 13 14 15 16 16 15 13 12 10 10 10 12 13 14 15 16 17 17 18 16 14 13 12 12 12 12 13 14 14 14 15 16 15 14 13 12 12 12 12 12 12 13 14 14 15 14 13 12 11 11 11 11 11 11 12 11 11 11 11 12 12 12 13 12 12 13 13 14 15 15 14 14 13 12 13 13 13 12 12 11 11 12 12 12 12 11 11 11 10 10 11 11 10 11 12 13 13 12 13 12 11 11 11 11 11 10 10 9 10 10 10 11 12 12 12 12 12 13 13 12 12 11 12 11 11 12 12 13 14 16 15 11 8 5 5 8 10 11 11 11 11 11 11 10 11 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 11 11 11 11 11 10 9 9 9 10 11 12 11 10 9 9 10 10 10 11 11 10 11 12 12 12 11 10 9 9 9 10 11 11 10 9 9 9 9 9 11 11 10 10 9 10 11 11 11 11 11 11 12 11 12 12 12 12 12 12 12 11 11 12 12 12 12 11 12 12 11 11 12 12 11 10 9 9 10 12 14 15 15 15 14 14 14 13 13 13 12 13 13 12 12 12 12 13 13 13 13 13 13 13 12 12 13 12 12 12 12 12 12 12 13 13 14 14 14 14 14 13 13 13 13 12 13 13 12 13 13 13 14 14 14 14 13 13 13 13 12 13 14 15 14 12 12 12 11 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 15 17 17 15 15 14 13 13 13 14 13 13 13 13 13 12 13 13 14 14 13 13 13 13 13 13 14 13 13 13 13 13 13 14 14 13 14 13 13 13 14 14 14 14 13 12 12 13 12 12 12 12 12 12 13 13 15 15 15 14 14 13 12 12 13 14 15 15 13 12 11 12 12 12 13 13 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 18 19 17 15 14 13 14 16 17 16 15 15 15 14 13 12 11 9 9 10 11 12 13 14 14 14 13 12 12 11 10 11 12 14 16 17 18 18 18 17 17 14 13 12 12 12 12 13 13 14 14 15 16 15 14 13 12 11 11 12 12 13 14 15 16 16 15 14 13 12 12 11 11 11 11 12 11 11 12 12 12 12 13 13 13 12 12 13 14 14 14 14 14 14 13 13 13 13 13 14 15 15 12 11 11 11 11 11 11 11 12 13 11 10 10 11 13 14 12 11 11 11 11 11 11 10 10 9 10 11 10 10 11 11 12 12 12 13 13 13 12 11 12 12 12 12 12 11 11 12 14 17 18 16 8 3 5 7 9 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 9 10 9 10 10 11 11 10 10 9 9 9 10 11 11 11 11 11 12 12 11 11 10 10 10 9 9 9 10 10 9 9 9 9 9 10 10 11 10 10 10 11 11 11 11 11 11 11 11 12 13 12 12 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 12 13 14 15 14 13 13 14 13 13 13 13 12 13 13 13 13 12 13 13 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 13 13 13 13 13 12 12 13 13 13 13 14 15 15 15 15 15 14 14 13 12 13 14 15 14 12 11 11 12 12 12 12 12 13 13 14 14 14 13 13 13 13 13 13 13 14 14 14 15 16 17 17 17 15 14 13 13 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 12 13 13 13 13 13 14 13 13 14 14 13 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 14 14 13 13 14 13 11 11 11 13 14 13 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
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 0 0 0 0 1 2 1 0 0 0 0 0 0 1 1 2 3 7 10 13 16 18 21 23 24 24 23 21 20 17 16 17 19 19 18 19 20 20 16 11 11 11 10 9 8 8 9 10 10 9 10 10 11 12 11 10 10 10 9 8 9 10 11 12 12 13 14 14 13 12 11 10 9 8 7 7 7 7 7 8 8 8 7 6 6 6 7 7 7 8 8 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 3 7 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 52 79 80 74 65 61 59 54 56 68 76 76 67 57 58 63 65 63 60 55 48 40 31 26 23 19 14 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 32 30 17 14 16 21 26 28 26 24 42 61 77 92 99 87 61 33 11 4 4 5 11 18 30 53 78 89 74 54 50 59 65 61 51 53 58 50 50 73 93 93 91 89 89 97 115 126 119 115 110 102 99 97 96 106 121 121 108 102 114 128 136 135 135 134 136 135 129 107 110 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 3 2 3 4 5 7 10 14 18 21 22 20 18 14 11 10 8 8 8 9 10 10 12 12 11 11 12 12 11 10 8 8 9 9 10 10 10 10 12 12 11 11 11 11 10 10 10 11 10 10 11 10 8 6 6 6 6 6 6 6 6 6 6 6 7 7 8 7 7 6 7 7 6 6 7 7 8 4 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 4 1 0 0 0 0 0 0 0 0 0 3 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 36 63 65 60 59 57 55 49 47 56 65 67 56 45 45 51 52 49 47 43 36 29 22 16 13 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 23 21 12 9 4 7 6 10 12 12 29 33 49 65 67 50 42 28 6 0 0 0 1 4 12 27 60 99 114 96 77 77 87 94 85 68 61 60 71 88 89 84 80 79 76 78 93 118 139 147 137 128 121 109 99 97 115 132 122 103 105 114 125 130 131 129 130 135 134 123 118 133 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 nan 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 6 4 3 3 2 1 0 1 5 9 13 16 18 15 10 9 8 6 3 2 2 3 4 4 6 6 6 8 10 12 13 11 9 9 10 10 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 9 6 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 8 7 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 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 0 0 0 0 0 0 0 0 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 26 47 47 41 42 46 46 39 36 47 59 58 46 37 39 44 44 39 36 31 25 21 15 9 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 18 10 5 3 3 3 9 19 25 38 39 48 55 50 38 33 24 8 1 0 0 0 7 24 41 66 102 129 133 119 107 106 113 117 102 75 60 67 75 77 77 74 74 72 72 83 104 127 136 134 132 135 134 121 107 114 130 135 122 111 109 119 133 140 134 125 126 135 140 138 148 163 nan nan nan nan nan nan nan nan nan nan 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 0 3 7 8 6 4 3 3 2 1 0 0 2 4 8 12 11 7 4 4 3 1 0 0 0 1 1 1 1 1 3 6 11 14 13 12 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 11 12 12 11 7 4 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 6 3 3 3 3 3 3 4 4 3 2 2 3 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 30 30 23 25 30 31 26 25 40 56 55 42 33 33 35 35 32 28 21 14 10 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 16 19 15 11 11 13 13 12 25 41 44 43 40 34 25 18 13 6 1 0 0 11 47 84 100 104 110 125 142 146 139 126 119 132 139 103 70 64 65 69 73 77 80 78 78 88 104 116 120 116 116 125 137 141 133 126 129 136 134 120 110 116 135 152 146 127 116 123 137 148 165 186 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 4 3 3 3 3 1 0 0 2 3 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 13 12 12 12 12 12 12 11 11 11 10 9 9 9 10 11 12 12 12 12 12 12 8 4 4 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 7 7 4 3 3 3 3 3 4 4 2 0 0 1 3 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 20 23 9 8 15 18 16 19 35 52 50 36 26 25 26 27 24 18 11 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 14 18 20 20 21 23 22 13 13 28 37 36 31 24 18 7 11 16 14 6 6 36 93 130 133 121 116 118 132 145 149 142 125 132 156 127 82 66 63 68 77 86 91 90 90 95 103 107 106 101 101 108 125 144 152 147 140 138 138 126 112 116 135 155 160 142 117 112 123 140 167 192 nan nan nan nan nan nan nan nan nan nan 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 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 3 5 5 3 1 0 0 1 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 9 10 11 11 12 12 11 10 11 10 9 8 8 10 11 12 12 12 11 12 11 8 4 4 4 4 3 3 4 4 4 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 5 3 3 3 3 3 3 4 2 0 0 0 1 3 4 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 24 26 22 10 3 4 9 11 17 35 50 43 26 14 13 17 18 15 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 1 1 0 2 3 1 1 0 0 0 0 0 0 0 0 0 3 10 16 21 23 25 28 29 24 18 24 34 38 36 34 31 20 30 45 45 40 39 75 115 129 120 115 120 126 130 136 146 146 136 135 150 135 92 68 65 74 89 101 101 96 94 92 93 97 98 96 96 103 113 133 153 159 157 151 144 132 121 123 139 162 174 159 129 115 120 136 166 183 nan nan nan nan nan nan nan nan nan 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 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 6 7 5 2 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 6 5 6 10 12 10 8 8 8 9 10 10 9 8 8 7 6 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 6 7 7 8 8 6 3 3 3 3 3 3 3 3 1 0 0 0 1 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 18 27 20 13 7 5 6 9 19 39 48 36 18 5 2 4 6 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 2 8 9 9 13 17 15 10 4 0 0 0 0 0 0 0 0 0 3 9 16 20 18 17 21 22 20 23 30 39 51 60 69 62 70 77 72 83 80 109 122 116 107 110 122 135 133 131 141 150 145 144 154 138 99 74 77 94 115 120 109 95 90 89 89 95 100 102 105 109 116 127 144 159 167 170 163 147 135 132 144 163 173 166 146 136 139 152 170 177 nan nan nan nan nan nan nan nan nan 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 7 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 2 2 1 1 3 7 13 12 9 7 6 6 7 7 6 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 4 5 6 6 6 7 8 8 6 3 3 2 3 3 3 3 4 2 0 0 0 0 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 7 7 7 6 6 9 22 42 46 31 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 20 26 26 26 28 33 35 27 9 0 0 0 0 0 0 0 0 0 0 1 7 13 13 14 14 15 19 23 27 33 47 69 92 96 102 93 85 87 88 98 101 98 97 103 117 134 129 118 126 140 145 145 145 130 105 92 100 118 132 130 112 94 86 89 96 106 112 114 116 114 114 118 130 146 163 178 184 170 156 146 148 160 170 166 154 149 157 168 176 173 166 nan nan nan nan nan nan nan nan 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 4 8 7 5 4 2 3 2 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 4 8 9 7 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 6 6 6 7 8 6 3 2 2 2 2 2 3 4 3 1 0 0 0 0 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 4 6 10 23 42 45 30 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 21 31 32 26 20 20 25 33 32 16 0 0 0 0 0 0 0 0 0 0 0 3 6 13 19 19 19 22 25 28 29 34 49 71 85 89 89 86 82 81 83 87 87 89 94 106 124 126 108 104 118 132 137 130 119 108 106 117 128 131 125 114 103 102 109 119 126 127 122 115 106 100 101 110 124 141 162 179 182 174 162 158 167 174 167 153 148 155 167 174 172 166 nan nan nan nan nan nan nan nan 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 5 7 7 7 7 6 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 4 5 5 5 6 6 6 3 2 2 2 1 0 1 3 4 2 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 9 22 40 45 33 19 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 1 5 14 20 20 18 12 5 4 10 15 13 5 0 0 0 0 0 0 0 0 0 0 0 0 1 11 22 28 30 33 38 38 37 36 39 51 65 74 81 82 77 72 73 76 79 84 88 95 117 131 108 94 104 118 132 129 120 116 117 124 129 126 122 122 125 133 140 141 137 128 116 103 93 88 92 101 114 126 140 161 177 181 176 174 183 189 181 164 150 146 151 161 170 175 nan nan nan nan nan nan nan 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 8 10 8 5 5 5 6 9 10 9 6 3 1 0 0 0 0 0 0 0 0 0 2 3 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 3 3 3 3 4 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 5 5 3 2 2 2 1 0 0 2 3 3 1 0 0 0 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 36 43 38 28 16 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 2 11 20 21 14 10 8 9 13 18 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 22 34 42 50 60 63 62 61 60 56 54 60 70 76 75 72 71 72 75 80 84 88 112 135 123 107 109 117 126 131 130 128 127 130 129 127 130 136 139 139 136 126 113 103 95 90 89 93 100 110 122 135 145 156 172 183 186 188 198 205 202 191 172 156 153 156 164 176 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 7 9 7 5 4 2 2 5 7 9 9 8 5 4 3 2 1 0 0 0 0 0 1 2 3 4 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 3 2 2 2 1 0 0 1 2 3 2 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 15 28 36 36 30 20 11 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 2 3 6 17 29 35 20 14 16 23 32 38 28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 23 38 51 62 73 82 84 82 78 70 60 59 67 73 75 77 78 77 77 79 83 88 110 143 142 128 125 125 127 127 129 129 127 128 131 134 138 140 131 114 94 78 72 71 73 80 89 102 114 123 135 147 155 162 171 181 189 192 199 206 206 204 194 179 170 162 161 172 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 5 7 6 6 4 3 1 1 3 5 8 9 10 10 10 8 4 1 0 0 0 0 0 1 2 3 6 7 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 3 3 3 3 2 2 2 2 1 0 0 0 1 3 3 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 10 19 24 24 22 16 10 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 1 6 11 18 27 40 47 35 21 21 23 32 43 40 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 8 23 39 52 60 67 75 81 86 84 78 72 74 78 78 80 86 94 93 86 80 86 91 111 144 149 139 131 126 120 117 120 121 121 123 127 134 139 134 116 90 66 49 49 56 64 73 85 103 116 126 138 147 148 152 156 162 168 173 181 188 193 199 198 183 165 158 164 171 172 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 2 4 5 6 5 5 4 2 2 3 5 7 9 11 13 14 8 3 0 0 0 0 0 0 0 2 5 7 7 6 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 4 3 1 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 1 1 1 2 2 1 0 1 2 2 2 2 1 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 2 3 2 1 0 0 0 0 0 1 3 7 8 7 9 12 14 12 8 4 4 3 1 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 1 9 21 30 34 38 34 22 14 13 11 15 26 38 34 17 5 1 0 0 0 0 0 0 0 0 0 0 1 7 18 28 41 50 54 58 64 72 78 81 85 95 101 96 93 100 112 114 101 90 91 97 114 135 145 140 130 124 117 113 115 118 118 122 126 131 136 133 112 85 65 55 50 51 58 64 73 87 100 111 124 132 131 128 128 131 135 140 151 164 172 183 193 182 161 157 164 164 165 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 1 3 4 4 5 6 6 4 4 3 3 4 5 9 12 8 3 0 0 0 0 0 0 0 2 5 7 7 7 6 5 4 6 6 2 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 5 7 6 3 1 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 4 3 2 2 2 2 1 0 2 5 10 10 8 8 8 7 5 2 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 32 32 23 12 2 0 1 0 2 3 10 24 35 34 21 10 3 0 0 0 0 0 0 0 0 0 0 2 5 12 24 34 42 44 48 56 63 72 87 102 114 114 107 113 129 131 118 101 95 97 107 122 137 140 133 125 119 113 113 116 118 122 129 137 142 146 129 104 84 70 59 53 53 54 58 63 70 79 90 100 106 106 103 104 108 113 122 134 146 162 182 184 165 149 146 150 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 1 1 2 3 4 5 5 4 3 2 1 1 4 6 4 2 0 0 0 0 0 0 0 1 4 7 7 7 6 7 9 10 11 9 5 2 3 4 3 1 0 0 0 0 0 0 0 0 1 1 2 4 4 3 1 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 1 2 2 2 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 4 2 1 0 1 1 1 0 0 2 6 10 9 7 7 7 6 3 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 0 0 1 0 5 14 19 12 5 1 0 0 0 0 0 0 2 8 20 32 36 30 16 5 1 0 0 0 0 0 0 0 0 0 0 1 12 22 32 37 38 43 49 58 72 88 98 99 98 108 126 132 122 105 97 95 97 107 123 135 136 132 124 116 113 113 116 118 123 136 150 156 150 131 112 89 69 59 53 49 47 44 43 45 51 59 68 76 81 83 87 91 96 104 117 141 170 184 169 149 142 143 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 2 3 2 0 0 0 1 1 2 1 1 2 3 2 2 2 3 4 3 2 1 0 0 0 0 0 0 2 5 5 4 3 5 7 10 12 12 10 6 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 1 1 0 1 1 2 2 3 3 3 3 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 2 5 7 6 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 10 10 9 8 7 9 8 3 6 8 3 0 0 0 0 0 0 1 2 1 0 2 8 24 41 48 37 15 3 0 0 0 0 0 0 0 0 0 0 0 5 14 25 34 37 40 44 49 56 62 64 65 70 84 105 114 106 93 90 94 94 95 103 118 130 135 130 121 115 112 112 109 111 118 135 150 154 147 136 116 90 74 63 52 44 38 33 30 30 34 42 54 61 63 69 74 78 78 84 104 137 163 160 151 149 148 145 nan nan nan nan nan 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 1 0 0 0 0 0 0 0 1 2 3 4 5 6 6 4 4 3 1 0 0 0 0 1 2 3 4 1 0 0 2 6 9 10 9 7 6 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 2 2 2 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 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 7 16 21 22 24 26 27 27 26 17 6 3 2 1 0 0 0 0 0 0 3 5 1 0 0 5 20 39 51 45 22 3 0 0 0 2 2 0 0 0 0 0 0 2 8 18 29 36 40 41 39 38 36 35 37 45 59 74 80 71 64 72 89 98 93 91 97 110 123 128 125 119 114 110 105 104 108 118 131 141 145 145 138 122 105 88 67 49 40 36 33 31 34 47 60 61 57 61 64 64 57 51 53 84 127 147 147 150 155 157 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan 46 47 47 43 40 38 38 36 34 29 23 19 18 17 19 24 28 32 34 33 31 28 26 22 20 16 13 12 12 13 13 11 9 6 2 0 0 0 0 0 0 0 1 1 2 3 4 4 5 5 5 4 2 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 3 8 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 18 19 18 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 20 20 12 8 14 25 27 23 18 13 6 2 11 32 50 54 42 24 7 0 0 0 2 5 6 10 14 11 9 5 4 4 4 4 4 4 2 5 14 32 55 69 70 68 69 73 78 84 95 106 109 108 106 105 100 96 95 96 104 115 124 122 115 110 109 106 95 80 64 58 74 94 96 88 87 86 68 35 12 4 6 52 95 90 53 26 21 42 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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nan nan 35 38 40 43 46 48 49 50 50 53 56 57 53 48 45 44 45 45 46 47 48 48 47 47 46 46 42 36 27 21 15 12 11 10 9 9 8 6 7 8 5 1 0 0 0 0 0 0 0 0 0 0 1 2 6 5 5 6 6 6 4 2 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 34 52 48 23 4 0 3 11 26 48 68 72 51 27 23 34 46 54 52 39 17 2 1 0 0 0 0 0 2 9 16 23 23 18 10 4 3 3 3 4 7 14 27 38 41 44 53 64 76 80 80 80 79 79 80 83 83 80 80 84 94 104 110 111 108 100 90 81 71 58 50 65 89 95 91 102 119 126 121 106 92 93 101 94 85 72 44 16 6 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 22 22 22 24 28 31 32 32 33 37 42 47 50 50 50 51 50 46 43 42 44 45 45 44 43 41 39 35 29 23 17 13 9 8 6 6 6 7 8 8 8 4 1 2 1 0 0 0 0 0 0 0 0 2 10 12 12 12 12 14 12 5 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 19 38 55 52 30 9 1 0 2 14 43 73 98 93 60 36 26 18 28 39 42 35 22 10 3 0 0 0 1 15 28 34 39 40 35 25 15 12 12 12 12 14 18 26 33 34 36 42 51 63 71 71 69 68 69 70 72 71 67 67 72 79 89 98 106 109 104 90 72 66 65 68 84 101 101 95 95 102 114 121 121 115 115 124 127 118 105 80 45 28 28 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 17 17 15 14 16 18 19 20 20 21 25 30 36 40 43 44 44 40 37 38 41 43 43 42 40 39 37 36 32 27 23 20 16 12 8 5 6 7 8 8 8 6 3 3 4 3 1 0 0 0 0 0 1 5 11 13 14 15 17 20 22 16 8 3 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 35 43 39 28 16 6 4 5 16 39 67 97 112 98 64 31 5 5 11 25 37 38 33 18 8 2 0 0 16 34 41 41 40 38 34 28 25 26 26 24 24 28 34 32 32 32 35 40 48 56 61 64 67 69 69 68 66 62 59 62 67 72 79 88 93 96 93 81 75 80 93 109 122 128 125 110 93 90 100 106 104 101 105 113 112 115 116 92 74 72 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 13 14 14 12 11 11 12 12 13 15 18 21 25 29 32 34 34 35 35 38 42 44 43 42 42 42 42 41 40 38 37 36 34 28 21 16 16 14 13 10 8 7 6 8 11 9 6 2 1 0 0 0 1 7 12 14 16 16 18 22 26 27 20 12 7 7 7 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 30 30 24 22 21 18 14 17 26 39 59 82 106 116 93 49 19 3 1 9 25 42 50 46 33 14 0 0 5 20 33 29 31 31 30 31 33 35 34 32 31 30 27 28 27 26 26 29 34 39 46 54 61 68 72 73 70 66 62 62 64 66 68 71 72 77 83 88 90 96 107 116 125 142 154 142 121 102 93 94 89 81 76 67 63 82 113 124 115 107 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 5 7 11 12 10 8 5 1 4 9 15 18 21 23 25 27 30 33 36 39 42 43 44 44 44 45 45 46 48 48 50 50 50 49 47 45 39 33 28 25 20 17 16 20 22 23 18 12 8 5 2 1 1 6 10 13 14 15 16 18 22 29 29 23 17 16 13 8 5 9 9 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 28 26 13 12 16 16 16 22 31 38 52 62 75 100 98 67 41 20 5 1 8 28 52 64 64 51 25 4 2 9 23 16 26 28 27 27 32 35 36 37 38 37 33 30 28 25 22 21 23 26 30 36 43 51 61 70 73 72 71 70 73 74 74 74 69 66 69 77 87 96 106 115 124 134 151 159 153 137 124 109 88 67 52 45 42 55 90 119 125 118 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 1 2 7 10 8 5 2 0 0 3 8 12 15 17 20 22 26 30 34 37 39 42 44 46 47 47 47 46 45 44 44 45 47 50 53 54 48 42 40 40 41 36 33 33 36 39 34 27 22 17 12 8 4 3 5 8 11 14 14 14 16 22 29 29 26 22 14 5 2 6 10 14 14 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 26 29 16 9 6 2 7 16 28 37 46 50 55 68 75 69 60 49 33 16 4 12 38 62 81 89 74 45 30 26 28 22 28 32 33 33 34 37 40 44 47 46 42 39 36 32 26 20 18 18 19 22 26 30 37 48 59 64 69 75 82 88 92 93 89 84 79 78 81 85 92 100 110 123 137 154 156 157 153 133 101 68 44 35 39 59 92 117 125 128 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 1 1 5 6 4 2 0 0 0 0 1 3 7 10 13 16 19 24 27 30 32 36 39 44 48 50 48 41 32 26 23 23 24 26 29 31 30 29 31 40 52 52 45 37 34 35 35 35 35 35 30 22 14 8 7 9 14 18 21 17 14 16 23 28 27 22 13 4 0 1 5 13 19 19 14 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 19 29 23 18 11 3 1 7 22 33 39 42 44 49 54 57 61 65 62 47 27 19 33 52 78 103 108 92 77 67 59 46 40 42 42 44 46 48 49 52 53 51 47 45 44 40 34 26 22 18 16 16 17 18 20 26 34 43 51 61 73 84 94 101 102 103 103 99 94 92 89 89 88 98 110 123 136 148 152 140 114 83 56 41 43 67 106 127 137 135 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 3 2 1 1 0 1 1 2 2 4 6 8 12 14 17 19 20 21 24 28 35 43 50 48 37 24 15 10 9 7 4 2 3 8 10 13 23 42 52 44 30 22 23 32 39 46 50 50 44 34 25 22 23 28 32 34 30 25 22 24 24 24 20 12 4 0 0 1 7 16 21 18 15 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 14 19 20 22 21 14 7 10 20 28 31 33 37 41 43 46 53 66 76 74 66 51 40 45 67 90 100 106 99 91 87 72 63 60 59 58 60 61 61 60 58 55 54 52 51 50 45 38 32 26 21 18 16 8 4 8 16 24 32 40 47 58 68 76 82 88 98 104 104 105 102 99 94 91 92 97 106 117 125 126 116 97 77 60 48 58 93 117 135 129 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 12 7 5 4 4 3 3 3 3 4 5 5 6 7 8 9 11 13 14 14 13 12 12 15 19 27 36 41 36 26 19 14 11 5 1 0 0 1 1 2 6 19 38 40 30 25 31 40 46 51 54 56 53 48 43 40 40 41 42 42 41 42 41 38 32 28 22 15 7 2 0 0 2 9 16 17 15 14 13 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 8 16 16 11 11 14 17 17 17 18 22 26 27 27 31 36 39 41 47 60 74 82 82 74 58 51 62 73 75 78 83 86 87 83 80 81 82 82 82 82 78 72 70 71 72 70 66 64 61 55 47 38 31 28 25 13 2 5 12 20 27 35 38 39 42 44 45 48 53 68 81 93 102 106 105 99 93 90 92 97 103 108 108 101 88 72 53 44 52 74 104 120 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
37 24 12 6 5 5 6 7 8 9 10 11 12 13 12 13 14 15 16 14 12 8 3 3 5 6 10 16 25 30 30 28 22 14 7 2 0 0 0 0 0 1 7 23 36 41 43 46 47 46 44 41 41 41 41 41 41 38 35 36 39 43 50 56 55 48 41 35 26 14 6 2 0 0 4 10 12 12 12 13 12 10 6 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 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 26 18 7 4 5 6 9 12 17 21 24 25 25 27 31 36 37 45 56 69 81 89 87 74 61 66 67 58 55 58 62 67 72 80 90 98 104 109 114 108 96 94 95 99 97 92 88 83 75 65 54 46 43 41 36 30 27 28 31 37 42 44 45 44 37 29 24 22 26 42 58 74 87 97 100 96 91 88 88 92 97 99 97 86 76 60 45 36 42 62 90 112 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
42 32 16 7 5 7 9 10 12 12 13 14 15 15 14 16 20 23 23 18 9 4 1 0 0 1 1 3 10 18 24 23 14 5 3 2 1 0 0 0 0 0 2 11 27 41 47 44 38 32 25 18 13 14 18 20 20 18 17 19 24 34 45 54 56 54 53 51 44 32 19 8 2 0 1 7 11 11 11 12 11 10 10 8 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 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 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 1 3 4 6 8 15 26 30 18 5 1 0 0 1 2 7 15 18 19 19 23 29 38 33 45 57 69 82 94 92 77 63 68 71 58 44 39 46 55 61 72 88 103 116 130 138 135 126 122 124 124 120 114 108 101 93 83 72 62 59 60 58 54 51 46 45 48 53 60 65 63 55 44 32 25 22 25 32 41 52 66 79 87 88 84 83 85 88 89 86 77 70 63 54 46 40 42 54 78 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
23 23 16 9 5 5 7 8 9 8 8 10 11 12 11 13 20 29 30 19 6 2 0 0 0 0 0 0 2 6 10 7 2 0 0 0 0 0 0 0 0 0 0 4 14 28 35 30 21 13 7 2 0 2 3 4 2 2 3 5 8 17 27 36 40 43 48 54 57 52 38 22 8 3 2 7 12 13 13 12 11 9 10 12 10 7 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 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 1 2 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 11 12 15 22 31 33 21 7 1 0 0 0 0 1 6 10 13 12 17 26 31 34 46 59 72 88 98 92 70 56 65 75 68 56 52 57 64 72 79 91 105 119 133 138 140 137 135 136 134 128 122 114 107 100 95 88 76 70 70 70 65 61 52 48 50 55 64 73 76 72 65 58 48 38 30 27 27 27 35 48 62 69 71 73 76 79 80 78 71 63 59 60 61 57 44 34 44 64 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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2 2 2 3 6 8 10 12 13 14 14 13 11 8 6 2 0 0 0 0 0 2 4 6 8 10 9 8 8 9 11 15 18 16 14 11 9 10 14 18 22 26 30 33 34 33 26 19 15 15 16 19 22 16 7 1 0 0 0 0 1 2 3 4 6 7 6 4 5 10 16 20 20 18 17 15 11 5 3 2 2 1 0 0 0 0 0 0 1 4 12 23 36 44 44 38 30 22 15 11 11 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 4 4 5 5 4 5 4 4 3 3 3 3 3 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 1 1 1 1 3 5 8 8 9 9 8 8 7 7 8 8 8 7 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 5 6 3 1 0 0 0 0 0 0 0 0 0 3 6 7 4 2 0 0 0 0 0 0 0 0 0 2 10 20 18 17 16 13 9 6 3 1 0 0 0 3 17 41 57 79 100 116 122 114 110 104 98 92 85 78 67 54 47 44 46 52 57 58 59 62 63 68 79 87 88 90 87 82 76 73 72 74 80 87 91 92 92 95 99 103 102 98 94 92 92 95 97 97 94 91 88 85 84 84 87 90 91 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 10 11 13 13 12 12 12 13 14 14 16 16 16 14 10 7 4 3 3 2 3 5 7 8 8 7 6 6 7 9 13 17 17 14 10 7 6 10 13 16 20 24 29 32 33 30 27 26 25 25 25 27 23 10 2 0 0 0 0 0 0 1 4 8 13 14 12 13 18 20 18 16 14 12 8 5 1 0 0 0 0 0 0 0 0 0 0 0 1 5 15 31 42 43 38 32 24 17 14 14 18 16 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 4 4 4 5 5 4 4 5 4 4 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 5 7 9 9 8 7 7 7 9 10 11 11 10 8 5 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 5 13 13 7 2 0 0 0 0 0 0 0 0 0 2 6 10 12 10 6 2 0 0 0 0 1 4 9 18 33 42 43 41 40 36 28 21 15 10 6 3 1 3 27 43 59 89 113 125 128 125 116 108 100 92 82 72 56 45 41 41 42 44 44 46 46 47 48 53 69 76 80 83 82 77 74 70 66 68 76 83 84 80 77 76 80 85 88 86 85 84 86 87 88 88 87 87 88 89 88 86 86 86 86 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
19 19 20 18 16 14 14 15 14 14 14 14 15 16 17 17 16 13 11 10 11 12 12 12 11 9 7 5 4 5 7 12 16 17 15 11 8 7 7 9 10 13 17 21 24 26 28 29 30 30 30 31 32 28 12 1 0 0 0 0 0 0 0 3 9 18 23 24 22 21 18 15 11 9 6 5 4 4 3 1 0 0 0 0 0 2 4 3 1 0 3 11 25 38 43 40 34 27 20 16 18 22 22 17 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 1 4 7 9 9 8 6 6 7 9 11 12 12 12 11 10 6 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 1 11 24 29 18 4 0 0 0 0 0 0 0 0 0 0 4 10 16 19 18 12 3 2 2 1 1 18 34 50 59 57 55 54 54 52 50 44 36 30 27 23 20 26 35 45 58 83 101 107 108 107 103 98 91 82 72 54 43 38 36 36 38 39 39 38 38 40 42 46 55 62 71 75 72 67 68 70 67 67 72 77 76 70 63 60 62 66 70 73 76 78 82 87 87 85 85 85 89 90 89 89 88 88 90 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
20 19 20 18 15 13 12 12 12 11 12 11 11 13 14 15 17 17 17 16 17 18 17 16 13 10 6 4 4 4 6 10 15 17 17 14 11 9 8 7 8 10 13 15 18 20 21 21 22 25 29 33 33 28 13 1 0 0 0 0 0 0 1 5 12 22 29 31 25 18 15 13 9 6 4 5 9 13 12 6 1 0 0 0 0 3 10 15 13 9 9 12 21 32 41 43 39 31 24 20 19 22 21 17 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 5 4 4 4 4 4 4 4 4 5 4 4 4 3 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 1 1 0 0 1 3 7 9 10 8 5 5 7 9 11 12 12 12 12 12 10 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 30 35 24 7 1 0 0 0 0 0 0 0 0 0 1 5 12 18 25 29 20 13 15 18 27 44 61 74 73 62 54 51 50 51 55 56 55 52 50 47 47 48 48 51 58 69 75 75 79 79 77 75 69 58 54 40 32 30 30 31 32 34 35 35 36 39 42 47 53 55 61 65 65 61 61 62 59 56 59 62 67 61 52 48 49 52 56 62 67 72 77 81 84 86 88 88 86 83 82 84 86 89 92 94 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 13 12 12 10 7 6 7 8 7 6 4 6 7 9 11 12 13 14 15 15 13 14 13 10 7 5 4 4 3 4 7 13 17 19 18 15 12 10 9 10 11 13 14 15 16 13 11 12 20 27 28 27 23 14 5 2 1 2 3 3 2 4 8 16 24 30 31 26 19 15 13 8 2 0 2 9 15 17 13 4 0 0 0 0 2 9 20 25 22 17 14 15 22 33 40 40 34 27 22 18 18 17 12 8 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 2 4 5 4 4 5 4 4 4 4 4 4 4 5 5 4 4 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 9 10 8 5 4 6 9 10 11 11 11 12 12 11 8 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 1 8 22 32 28 16 5 0 0 0 0 0 0 0 0 0 0 0 2 6 16 30 36 36 34 42 50 58 66 76 80 72 58 45 36 31 32 45 53 58 59 60 62 63 63 64 63 63 64 63 60 57 54 50 52 49 44 40 32 27 26 26 27 28 29 31 32 36 40 46 52 57 58 57 58 58 57 58 56 49 44 42 41 38 50 45 41 42 45 50 55 60 64 66 69 72 78 84 86 81 74 71 74 80 84 89 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 7 6 10 9 7 7 8 8 6 5 5 5 5 5 6 7 7 8 8 8 7 8 9 8 7 7 6 5 4 3 4 8 13 18 20 20 18 16 15 15 15 16 16 16 14 11 7 8 18 25 22 16 15 14 10 7 6 8 11 10 6 6 9 16 21 25 27 26 23 18 12 6 2 0 0 5 10 15 17 11 3 0 0 0 0 3 13 27 30 20 10 7 9 17 28 35 35 30 24 17 14 14 9 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 0 0 1 2 4 5 4 4 5 5 4 4 4 4 4 5 5 5 5 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 10 8 5 5 6 8 10 11 11 12 14 14 12 9 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 7 21 25 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 16 31 36 40 53 62 68 72 73 67 56 44 35 25 20 20 30 39 47 55 63 68 72 75 78 78 75 72 68 61 53 46 43 41 40 38 36 33 30 27 26 26 27 28 32 36 40 43 47 52 55 56 56 56 54 53 51 50 48 46 42 40 36 38 37 34 34 39 43 48 52 54 54 54 58 63 70 73 72 67 64 68 76 82 84 86 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 12 14 17 16 15 15 14 12 9 6 4 4 4 4 5 5 5 5 6 6 7 8 9 10 10 10 9 7 6 4 4 5 8 11 15 17 19 20 19 20 19 19 18 17 15 12 9 10 16 21 18 10 8 11 14 14 14 17 21 18 11 7 8 11 15 18 23 27 26 20 12 6 3 1 1 4 8 12 17 14 5 1 0 0 0 0 5 17 25 18 8 4 2 5 14 25 32 32 26 19 15 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 2 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 1 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 9 10 9 7 6 7 7 8 9 11 13 16 17 14 9 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 17 23 28 37 46 51 52 50 46 40 33 30 26 24 20 22 28 39 50 58 64 68 72 76 78 78 77 74 70 62 55 48 44 40 37 35 34 33 30 30 31 32 34 37 40 42 43 44 46 49 50 50 50 50 49 48 47 47 49 49 48 44 37 31 27 27 30 32 37 42 44 43 43 46 52 56 60 62 62 60 65 74 80 82 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
22 22 24 26 26 24 22 19 16 12 8 5 4 4 4 4 4 5 5 5 6 6 8 9 10 12 13 12 10 9 7 6 4 4 4 6 9 13 16 18 19 17 16 16 14 12 11 8 8 10 14 14 10 6 8 17 21 22 24 27 24 15 8 7 7 10 14 21 27 26 19 12 8 5 4 5 7 10 13 17 16 9 5 3 1 0 0 1 6 15 17 14 12 11 10 12 19 28 33 29 22 18 16 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 6 6 5 5 5 5 5 6 6 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 1 4 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 8 9 9 9 9 8 7 6 6 8 12 16 17 14 9 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 2 7 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 16 22 28 32 32 29 30 31 29 29 30 29 27 22 22 33 44 50 54 58 62 67 70 72 72 72 71 69 66 61 55 48 43 38 35 32 29 33 36 38 40 37 34 33 32 32 34 37 39 40 39 41 42 43 44 46 50 53 56 54 44 34 27 22 17 14 17 22 29 35 37 39 44 48 51 54 54 58 64 70 74 77 77 76 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
30 31 33 33 32 28 24 20 17 13 10 7 6 6 5 5 5 5 4 4 5 6 7 8 10 13 15 15 13 11 10 8 6 3 1 2 4 6 8 9 9 8 8 8 6 5 5 6 5 5 6 8 8 8 10 20 30 30 24 25 25 18 10 7 7 8 14 22 26 25 18 13 10 8 8 9 10 13 17 20 21 17 13 9 4 1 0 0 1 10 21 24 22 21 21 20 21 28 32 29 23 18 15 13 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 7 7 6 6 6 5 5 5 6 6 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 1 4 5 5 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 7 7 8 9 9 7 4 3 5 9 13 14 12 8 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 2 11 16 11 5 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 5 4 6 12 18 23 24 24 24 26 28 28 28 27 25 21 19 24 33 38 43 47 51 56 59 60 60 60 61 62 63 63 60 55 49 44 39 34 27 32 32 32 28 21 18 16 14 16 18 21 24 27 27 28 32 36 40 45 50 54 57 57 52 44 36 28 16 5 3 4 11 22 31 36 39 42 44 47 50 55 61 65 68 68 69 69 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
33 34 34 34 32 27 22 20 18 15 12 12 12 12 10 8 7 6 5 5 4 5 6 8 9 12 14 15 14 12 11 11 9 6 4 4 5 5 4 4 2 2 2 3 3 3 4 4 4 3 3 4 5 6 11 21 32 32 21 18 25 21 12 9 10 12 19 27 29 26 19 14 11 9 8 7 9 13 17 22 24 23 18 13 8 3 1 0 0 9 24 30 26 27 31 32 30 29 29 24 18 12 10 12 9 4 1 0 0 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 7 7 6 6 5 4 5 6 6 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 3 2 1 1 0 0 0 0 1 1 0 1 4 6 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 7 7 8 8 8 6 4 3 4 6 8 10 9 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 19 15 10 5 4 6 8 9 8 5 1 1 1 0 0 0 0 0 3 7 5 1 4 11 16 19 17 16 17 18 18 17 14 10 7 8 12 17 25 29 32 37 41 43 45 46 46 46 48 50 53 53 52 49 46 44 37 30 28 27 24 18 10 5 4 2 3 5 8 12 16 18 21 24 28 34 42 52 56 57 58 56 53 47 40 29 18 11 8 7 8 16 30 35 39 41 42 45 49 55 60 64 66 67 69 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
30 31 31 31 30 24 19 17 16 15 14 14 15 17 16 12 8 7 7 7 7 8 8 9 10 12 14 15 14 11 10 12 12 11 9 9 8 8 6 5 3 2 1 1 1 0 0 1 1 2 1 1 2 3 7 15 24 27 21 19 26 24 15 12 16 19 27 33 33 26 19 14 12 10 7 6 6 9 14 20 24 23 19 15 14 10 4 0 0 7 22 27 24 27 35 39 34 27 20 13 6 4 5 7 5 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 1 3 6 7 7 7 6 6 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 3 3 2 1 0 0 0 1 1 1 1 1 3 6 6 7 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 8 8 8 8 8 6 4 3 4 4 5 6 6 6 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 14 15 12 10 9 10 13 17 19 16 11 10 6 2 0 0 0 1 4 7 5 1 1 3 9 15 13 9 7 7 6 4 3 2 0 0 2 4 15 18 20 19 22 23 26 30 32 33 35 38 42 43 45 44 42 39 33 27 25 23 18 11 4 0 0 0 0 0 1 3 6 11 15 20 28 32 43 55 57 58 58 58 56 53 48 40 31 24 19 14 6 6 16 24 31 35 38 41 45 50 56 60 64 66 68 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
26 27 27 28 27 24 19 15 13 12 12 12 13 14 14 11 6 6 7 8 9 10 10 11 11 12 14 15 16 13 11 12 13 13 14 15 14 13 12 10 8 6 4 3 1 0 0 0 0 0 0 0 0 1 3 6 14 24 26 24 25 24 19 17 23 26 31 34 30 22 16 14 13 11 8 5 4 5 10 15 20 22 21 19 20 20 14 4 0 5 14 19 19 23 32 35 31 22 13 6 3 1 2 2 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 6 6 6 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 1 1 0 0 1 1 1 1 1 2 5 7 8 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 9 9 9 8 6 4 4 3 3 3 4 5 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 13 10 8 7 10 16 22 19 13 9 8 3 0 0 0 0 3 7 5 0 0 0 6 11 8 2 1 2 3 2 0 0 0 0 0 0 5 8 8 8 8 9 12 17 21 23 26 29 34 37 35 35 32 26 22 21 21 18 11 6 2 0 0 0 0 0 0 0 1 3 7 14 28 34 48 56 57 56 54 53 51 49 46 42 34 30 27 22 14 9 6 10 19 25 30 35 41 46 52 57 61 64 66 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
29 29 29 29 29 28 23 16 13 12 11 11 11 11 11 8 5 6 6 7 9 10 11 11 12 13 15 16 17 17 15 14 13 14 14 15 16 16 16 16 15 13 11 8 5 3 2 1 1 0 0 0 0 0 1 3 8 20 27 25 21 18 18 22 29 32 30 29 23 17 14 13 12 10 7 5 4 4 7 10 16 23 24 22 22 24 20 10 2 2 6 10 14 19 25 30 30 25 17 10 6 4 2 0 0 4 9 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 6 6 7 6 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 1 1 1 1 2 4 7 8 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 9 10 10 9 7 5 4 3 2 2 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 12 13 9 4 2 3 10 18 14 6 2 3 1 0 0 0 2 5 8 7 1 0 0 4 7 7 4 4 6 9 8 3 0 0 0 0 0 0 1 1 1 0 1 3 7 11 15 21 24 24 25 24 23 21 19 17 17 16 13 8 5 1 0 0 0 0 0 0 0 0 0 2 7 21 31 42 47 48 47 45 42 40 37 35 38 33 31 30 27 23 18 12 8 10 13 16 28 36 43 48 52 56 60 64 65 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
34 34 33 33 32 30 26 20 17 15 13 12 12 11 10 8 7 7 7 8 9 10 12 12 12 13 15 16 17 17 16 14 13 13 14 13 13 14 15 16 17 16 16 15 14 14 12 8 5 2 0 0 0 0 1 2 4 13 26 26 18 14 18 27 34 34 27 20 18 17 15 13 10 8 6 4 3 4 6 9 15 23 26 22 17 17 18 13 6 2 2 5 11 17 20 26 31 30 27 24 22 13 4 3 9 17 18 14 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 7 7 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 1 0 0 0 0 1 1 1 2 2 3 7 8 7 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 10 9 7 6 4 3 3 4 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 10 7 1 0 1 10 15 11 4 0 0 0 0 0 1 4 8 9 7 2 0 0 1 3 6 7 9 12 14 14 6 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 12 14 14 14 13 12 12 12 13 11 8 6 4 1 0 0 0 0 0 0 0 0 0 0 2 12 25 34 36 35 33 31 28 31 29 29 30 29 28 28 27 27 25 20 13 11 11 13 21 29 36 41 44 47 52 58 61 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
35 35 34 34 33 30 27 24 23 22 20 18 18 14 11 9 9 9 10 10 10 11 12 12 12 12 14 15 16 16 15 14 13 13 13 12 12 12 11 12 12 14 16 17 18 18 16 14 11 6 3 1 0 0 1 2 3 8 21 28 23 18 21 29 35 32 24 19 19 20 18 13 9 6 5 4 3 3 6 11 17 23 26 19 9 7 10 13 11 6 3 4 8 13 14 19 24 27 28 28 26 23 20 20 23 24 19 13 9 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 1 1 2 2 2 2 2 2 6 8 7 6 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 7 7 7 6 5 3 3 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 0 1 4 6 5 0 0 4 14 17 10 3 0 0 0 2 2 0 2 6 9 8 2 0 0 0 1 4 8 11 13 14 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 8 8 8 8 8 7 5 2 1 0 0 0 0 0 0 0 0 1 3 4 3 9 22 28 29 27 26 26 26 27 29 30 29 27 24 24 24 24 24 21 17 15 15 16 17 20 25 31 33 36 41 48 52 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
34 34 34 33 32 29 27 27 28 30 29 27 24 20 15 12 11 11 12 12 12 12 12 12 13 13 13 14 14 14 12 11 12 13 13 13 13 12 10 10 10 12 14 14 15 16 16 16 15 13 9 3 0 0 1 1 2 6 15 27 30 26 25 28 32 30 24 21 20 19 17 12 7 5 5 4 3 3 7 13 19 23 24 17 6 1 3 10 15 13 8 5 5 6 6 8 12 18 21 16 15 19 23 24 23 21 18 16 13 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 2 3 3 2 2 2 2 2 4 7 8 8 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 4 5 4 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 4 0 0 0 1 2 0 0 9 18 18 11 3 0 2 4 8 7 1 0 0 8 9 4 0 0 0 2 6 8 10 12 12 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 6 6 5 3 1 0 0 0 0 0 0 0 0 1 2 6 10 14 15 16 20 23 24 24 25 26 27 28 30 30 28 25 23 22 21 20 17 13 11 10 12 15 17 19 20 23 24 26 30 36 40 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
34 34 34 34 32 31 30 30 32 33 31 29 26 23 18 14 12 12 13 13 13 13 12 12 13 14 14 14 14 13 10 10 11 12 14 15 15 14 12 11 12 13 14 13 12 12 14 16 17 16 15 10 4 0 0 0 1 3 10 21 30 30 27 26 27 27 25 22 19 18 15 10 6 5 5 4 3 3 8 13 17 19 21 19 10 2 2 5 13 14 11 6 4 3 2 2 5 9 12 8 4 5 7 9 11 12 12 10 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 6 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 3 4 3 2 2 2 1 2 3 5 8 9 9 8 6 4 2 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2 3 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 2 0 0 0 0 0 0 3 13 19 16 7 1 1 7 16 18 12 4 1 2 8 10 6 2 2 5 7 8 9 10 10 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 0 0 0 0 0 0 0 0 1 3 5 7 11 16 20 22 22 22 22 22 23 25 26 27 28 28 26 23 20 20 20 17 14 10 6 3 2 4 6 11 16 20 21 21 21 23 26 30 30 nan nan nan nan nan nan nan nan nan nan nan nan nan
35 36 36 35 34 33 32 33 34 36 34 30 26 21 18 15 14 14 14 14 14 14 13 13 13 13 14 15 15 15 14 12 11 12 14 15 15 14 14 15 15 16 15 14 14 13 13 14 16 17 17 14 9 2 0 0 0 2 5 14 25 30 28 26 25 22 22 20 18 16 13 9 6 5 4 3 2 3 7 11 12 16 21 23 17 7 4 4 6 10 9 5 2 1 0 0 2 5 8 8 6 2 1 1 2 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 4 4 3 2 2 2 1 2 3 6 9 9 8 6 5 3 1 0 0 0 0 0 0 1 1 2 2 2 1 0 0 0 0 1 2 2 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 0 0 0 0 0 0 1 7 16 18 12 4 0 3 15 29 28 14 4 1 4 10 11 6 2 4 9 10 9 9 10 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 9 13 18 22 24 24 23 22 22 23 24 25 26 25 21 18 16 16 16 12 8 6 4 2 0 0 1 4 8 15 19 21 21 22 22 23 24 nan nan nan nan nan nan nan nan nan nan nan nan nan
34 36 36 34 33 32 31 30 31 32 30 25 21 18 16 15 14 15 15 15 14 14 14 14 13 14 15 16 16 17 18 16 14 13 14 14 14 14 15 16 17 18 17 16 15 14 14 14 15 15 16 16 14 8 2 0 0 1 3 10 20 28 29 28 24 18 13 12 13 14 13 9 6 6 4 3 2 3 6 9 13 19 25 27 20 11 5 3 3 5 6 3 1 0 0 0 2 4 7 9 8 4 2 1 1 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 2 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 3 3 2 3 3 4 4 3 2 2 2 2 2 2 4 6 6 6 5 4 3 2 0 0 0 0 1 2 2 3 4 4 4 3 2 1 0 0 1 2 3 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 2 8 15 15 8 1 1 6 24 38 33 14 3 3 10 14 12 6 3 6 10 10 9 9 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 2 4 10 16 22 25 25 24 23 22 23 23 23 22 19 16 14 13 11 7 4 3 3 2 0 0 0 2 4 8 13 18 21 23 23 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan
30 31 31 29 27 25 23 22 21 20 19 18 16 15 15 14 14 14 14 15 14 14 14 15 15 15 16 17 17 18 18 17 16 14 14 14 14 15 16 16 16 17 18 17 16 15 15 15 14 14 15 15 16 12 6 1 0 2 4 8 16 24 30 30 26 17 8 5 7 11 12 10 9 7 6 5 3 2 6 13 22 25 25 22 16 10 8 7 9 10 10 7 2 0 0 2 4 5 7 9 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 4 4 3 3 3 2 2 2 2 2 3 2 2 2 3 2 1 0 0 0 1 2 3 3 4 5 6 6 5 4 3 2 2 2 3 4 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 12 5 0 4 15 34 42 32 14 4 6 12 15 11 6 5 7 8 8 8 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 3 9 17 23 26 25 23 21 20 21 21 20 18 17 15 12 7 3 1 0 1 0 0 0 0 1 3 5 8 13 18 20 22 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan
24 21 20 20 18 16 16 15 14 13 13 14 14 14 14 13 13 13 14 14 14 14 14 15 15 16 16 16 16 16 17 16 16 15 14 14 14 15 16 16 16 16 17 17 16 16 16 16 15 14 14 14 15 15 11 5 2 3 6 7 11 19 27 31 29 20 9 5 5 7 10 11 12 11 10 6 2 2 9 22 31 28 21 16 13 12 15 19 21 19 16 13 7 2 0 4 6 7 8 8 8 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 8 8 8 6 4 4 4 3 2 2 1 1 1 0 0 0 1 1 0 0 0 0 1 2 2 3 4 5 6 7 6 5 4 4 3 3 4 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 3 2 8 22 40 45 33 17 8 8 14 15 11 6 4 5 4 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 20 22 20 18 17 17 17 17 18 18 17 12 5 0 0 0 0 0 0 0 1 3 4 4 6 10 14 17 19 20 21 21 nan nan nan nan nan nan nan nan nan nan nan nan
17 15 15 15 15 14 15 15 15 15 14 14 14 14 13 13 13 13 13 14 15 15 15 15 16 16 16 16 15 15 16 15 15 14 14 14 14 14 15 15 15 16 16 16 16 15 16 16 16 15 14 14 15 16 14 10 6 6 7 8 8 12 20 29 32 24 12 5 4 5 7 10 13 13 13 9 3 4 15 28 36 31 22 20 22 25 28 27 20 14 13 14 12 7 4 6 7 8 8 7 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 6 6 7 8 8 8 7 8 9 10 12 12 10 7 6 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 5 6 7 7 6 5 4 4 4 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 2 0 1 9 24 40 45 36 24 19 18 22 15 10 6 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 12 12 12 12 12 14 16 18 17 12 4 0 0 0 0 0 0 1 2 4 4 5 5 8 12 15 17 18 20 20 nan nan nan nan nan nan nan nan nan nan nan nan
16 16 15 16 16 16 15 15 15 15 14 14 14 14 14 13 13 13 14 15 15 16 15 16 16 16 16 16 15 14 14 14 15 15 15 15 15 14 14 14 14 15 15 16 16 15 15 16 17 16 15 14 14 15 15 13 9 7 8 8 8 8 14 24 32 27 16 7 4 4 5 8 11 14 14 10 3 8 20 30 35 33 30 31 35 36 30 16 8 5 6 11 15 12 8 7 8 8 7 7 7 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 4 4 4 3 4 4 4 4 4 4 4 6 7 8 10 10 10 10 10 9 9 10 11 12 12 12 10 9 8 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 6 8 8 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 10 7 5 1 0 0 2 10 24 38 40 35 29 28 27 26 17 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 1 2 3 3 2 2 1 0 0 0 0 1 1 3 4 4 4 6 8 13 14 13 9 4 1 0 0 0 0 0 0 3 3 5 5 5 6 8 12 14 16 17 18 nan nan nan nan nan nan nan nan nan nan nan nan
16 15 15 16 16 15 15 15 15 14 14 14 14 14 14 14 15 15 15 16 16 16 16 16 16 16 16 15 14 14 13 14 15 16 16 16 17 16 15 15 15 15 15 16 17 16 16 16 17 16 16 14 14 14 14 15 12 8 8 8 8 7 9 17 27 30 22 12 5 4 4 5 7 11 13 11 7 11 17 22 27 32 35 38 39 33 21 7 1 2 5 13 18 16 10 7 7 8 7 7 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 4 4 4 3 4 4 4 4 4 4 4 4 6 8 10 11 11 11 11 11 11 11 11 11 12 11 11 12 12 11 10 9 9 8 5 2 0 0 0 0 1 0 0 0 0 0 0 0 1 1 2 4 6 7 7 6 5 4 4 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 16 13 7 2 0 0 3 9 19 27 31 30 30 28 24 19 14 10 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 1 3 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 3 7 9 7 3 1 1 1 1 2 1 2 4 6 6 8 8 8 8 10 11 12 14 15 16 nan nan nan nan nan nan nan nan nan nan nan nan
14 14 14 15 15 15 15 14 15 15 15 15 15 15 15 16 16 17 17 17 17 16 16 16 16 16 15 15 17 19 19 18 18 19 20 21 22 21 19 20 21 21 20 20 23 26 24 20 16 15 15 14 14 14 14 15 14 10 7 7 7 7 7 12 21 29 28 21 10 6 4 4 3 6 10 11 9 9 7 9 13 20 27 34 35 28 16 6 1 2 8 18 22 18 10 7 8 8 7 5 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 1 1 2 3 3 3 3 4 4 4 4 4 5 5 6 5 5 6 8 11 12 11 10 10 10 10 11 11 11 11 12 11 11 11 11 10 10 11 11 10 7 3 1 0 0 2 1 0 0 0 0 0 0 0 0 1 2 4 5 6 6 6 4 4 4 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 15 10 4 1 0 0 1 6 14 18 21 23 24 20 17 14 11 9 8 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 2 2 2 2 2 2 2 4 6 6 7 8 9 11 11 12 13 13 14 15 15 16 nan nan nan nan nan nan nan nan nan nan nan
12 12 13 14 14 15 15 15 16 16 16 15 15 16 16 16 17 17 18 17 16 15 15 15 16 17 17 17 21 25 24 22 21 22 23 24 25 26 27 28 29 28 26 25 27 29 28 23 16 14 14 14 14 14 14 14 14 12 8 7 7 7 6 8 15 25 31 30 21 11 6 5 4 4 6 8 8 6 3 2 3 6 13 24 30 23 13 5 2 4 12 22 26 21 14 9 9 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 4 4 5 6 6 7 7 8 8 8 9 11 12 11 10 10 9 9 10 10 11 11 11 11 10 9 8 6 6 8 10 10 8 5 4 2 2 2 2 1 0 0 0 0 0 0 0 0 0 1 2 4 5 6 5 5 4 4 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 11 5 1 0 0 0 0 2 8 12 14 15 16 16 14 12 9 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 3 2 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2 2 2 2 2 2 3 3 2 2 3 3 3 3 4 6 10 12 13 15 16 16 16 16 16 nan nan nan nan nan nan nan nan nan nan nan
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7 7 7 7 7 8 8 8 8 8 9 9 10 11 12 14 15 14 15 16 18 18 18 19 19 18 18 18 18 17 17 18 18 19 19 18 17 16 16 16 16 17 19 21 20 19 20 21 20 19 17 16 15 14 14 14 13 12 11 10 8 6 5 6 5 4 7 20 36 36 31 25 20 15 10 6 4 4 4 4 5 4 3 2 5 14 22 17 11 11 11 8 5 7 12 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 5 5 7 8 10 11 11 11 10 9 7 5 7 9 9 11 12 11 13 15 12 7 6 4 3 5 6 3 1 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 2 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 2 7 10 5 1 0 0 0 1 4 10 14 16 16 14 8 3 nan nan nan nan nan nan nan nan nan nan
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8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 10 10 11 12 13 14 14 14 15 16 16 16 16 17 17 17 18 18 18 19 19 19 18 17 15 16 18 20 19 18 17 17 17 18 19 20 19 16 15 14 14 14 13 12 10 7 5 5 5 4 7 16 27 31 25 21 20 16 10 7 7 10 11 10 7 5 3 2 3 9 16 16 12 11 14 15 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 4 4 2 1 0 0 0 1 3 5 7 6 3 1 0 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 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 1 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 9 10 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 27 31 25 16 11 8 6 7 9 12 17 21 21 14 nan nan nan nan nan nan nan nan nan nan
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6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 7 7 8 8 9 10 11 12 13 14 14 14 15 15 16 16 16 16 16 16 16 15 15 14 14 14 13 12 13 14 15 16 16 16 18 19 19 17 16 15 16 16 15 14 10 7 5 4 4 5 10 11 11 16 21 17 8 2 0 1 3 4 6 12 16 18 18 16 12 8 5 1 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 3 6 6 4 2 0 0 0 0 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 27 20 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 13 15 13 9 8 11 13 14 14 13 12 nan nan nan nan nan nan nan nan
7 8 7 7 7 7 7 7 8 8 9 9 9 10 9 8 8 9 9 8 7 7 8 8 8 9 9 10 11 12 13 13 14 15 15 16 16 16 16 16 16 15 14 14 14 14 12 11 10 11 12 14 14 15 16 16 17 17 16 15 15 16 16 15 12 9 5 4 2 3 6 9 8 10 16 18 12 5 1 0 1 2 5 12 14 12 10 10 11 10 7 2 0 0 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 1 4 5 2 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 13 11 5 1 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 2 5 7 8 6 6 10 13 14 15 15 12 nan nan nan nan nan nan nan nan
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