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