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