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